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Gemini-1.5 Pro 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?

Gemini-1.5 Pro:

Reasoning: Isaac gains 1 * 3 = <<1*3=3>>3 units of speed for each meter he slides.
### Answer: 3 

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?

Gemini-1.5 Pro:

Reasoning: Isaac gains 1 * 5 = <<1*5=5>>5 units of speed for each meter he slides. 
### Answer: 5 

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?

Gemini-1.5 Pro:

Reasoning: If there are 11 times as many black bears as brown bears, and there are 9 brown bears, 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?

Gemini-1.5 Pro:

Reasoning: Since each fish has 2 sides, 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?

Gemini-1.5 Pro:

Reasoning: The amount of fuel 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?

Gemini-1.5 Pro:

Reasoning: The third rocket needs 8 * 5 = <<8*5=40>>40 units of fuel.
### 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?

Gemini-1.5 Pro:

Reasoning: Theresa planted 80/10 = <<80/10=8>>8 seeds per plot. 
So, she 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?

Gemini-1.5 Pro:

Reasoning: We know Theresa planted 8 seeds per plot.
For the gift bags, she needs to set aside 7*8 = <<7*8=56>>56 seeds.
### 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?

Gemini-1.5 Pro:

Reasoning: Theresa planted 80/2 = <<80/2=40>>40 seeds per plot.
So, she 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?

Gemini-1.5 Pro:

Reasoning: The problem states that 1 section needs 1 yard of fabric. 
### Answer: 1 yard 

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?

Gemini-1.5 Pro:

Reasoning: The problem now states that each section of the dress needs 6 yards of fabric. 
### Answer: 6 yards 

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?

Gemini-1.5 Pro:

Reasoning: The spell triples the number of treasure chests, so there will be 11*3 = <<11*3=33>>33 treasure chests.
### 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?

Gemini-1.5 Pro:

Reasoning: If the spell doubled the treasure chests, there would be 11 * 2 = <<11*2=22>>22 treasure chests.
### 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?

Gemini-1.5 Pro:

Reasoning: The giraffe would grow 4*11 = <<4*11=44>>44 feet over 11 years. 
Since the giraffe starts at 0 feet tall, it would be 0+44 = <<0+44=44>>44 feet tall after 11 years. 
### Answer: 44 feet 

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?

Gemini-1.5 Pro:

Reasoning: The giraffe would grow 4*7 = <<4*7=28>>28 feet over 7 years.
Since the giraffe starts at 0 feet tall, it would be 0+28 = <<0+28=28>>28 feet tall after 7 years.
### Answer: 28 feet 

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?

Gemini-1.5 Pro:

Reasoning: Pete has 4 x 8 = <<4*8=32>>32 feet of rope in total.
### Answer: 32 feet 

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?

Gemini-1.5 Pro:

Reasoning: Pete has 4 ropes that are each 8 feet long, so he has 4 * 8 = <<4*8=32>>32 feet of rope for his project.
### Answer: 32 feet 

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?

Gemini-1.5 Pro:

Reasoning: Pete has a total of 12 x 8 = <<12*8=96>>96 feet of rope. 
### Answer: 96 feet 

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?

Gemini-1.5 Pro:

Reasoning: To find out how many starfish are in each tank, we divide the total number of starfish (81) by the number of tanks (9): 81 / 9 = <<81/9=9>>9
### 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?

Gemini-1.5 Pro:

Reasoning: To distribute 12 starfish equally among 9 tanks, we perform the calculation 12 / 9 = <<12/9=1.3333333333333333>>1.33. 
Since we cannot have a fraction of a starfish, this means each tank would have 1 starfish, with some tanks having 2 to distribute all 12 starfish. 
### Answer: 1 (and some tanks with 2) 

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?

Gemini-1.5 Pro:

Reasoning: On the second day, Lisa will find 1 * 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?

Gemini-1.5 Pro:

Reasoning: We know from the previous problem that Lisa found 2 toys on the second day. 
Lisa will bury and dig up 2 * 2 = 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?

Gemini-1.5 Pro:

Reasoning: On the second day, Lisa will find 1 * 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?

Gemini-1.5 Pro:

Reasoning: We need to divide the robot's processing time by 11 to find the system's speed: 11 microseconds / 11 = 1 microsecond. 
### Answer: 1 microsecond. 

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?

Gemini-1.5 Pro:

Reasoning: The robot's new processing speed is 1 microsecond.  To find the efficiency rate, we multiply this speed by itself: 1 microsecond * 1 microsecond = 1 microsecond squared. 
### Answer: 1 microsecond squared. 

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?

Gemini-1.5 Pro:

Reasoning: We divide the robot's processing time by the system's speed factor: 12 microseconds / 11 โ‰ˆ 1.09 microseconds.
### Answer: โ‰ˆ 1.09 microseconds. 

Expected answer: 12/11

Correct? No

๐Ÿ”— Problem

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

Gemini-1.5 Pro:

Reasoning: Nina will produce 6 x 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?

Gemini-1.5 Pro:

Reasoning: Nina grew 18 tomatoes, and each tomato produces 3 seeds, so she has 18 x 3 = <<18*3=54>> 54 seeds.
### 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?

Gemini-1.5 Pro:

Reasoning: Since the alien learns a new word, they can transmit it 11 times per minute, according to the problem.
### 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?

Gemini-1.5 Pro:

Reasoning: The alien can now transmit 2 words * 11 transmissions/word = 22 transmissions per minute. 
### 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?

Gemini-1.5 Pro:

Reasoning: If the alien learns one new word and can transmit it 3 times per minute, they will make 3 transmissions for that word. 
### 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?

Gemini-1.5 Pro:

Reasoning: The unicorn travels 35/7 = <<35/7=5>>5 miles in one hour.
### Answer: 5 miles 

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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

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

Expected answer: 35/2

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: Green Gauntlet can multiply his strength by 3, so his total strength is 3 * 1 = <<3*1=3>>3.
Jetstream has 5 times the strength of Green Gauntlet, so Jetstream's strength is 5 * 3 = <<5*3=15>>15.
### Answer: 15 

Expected answer: 15

Correct? Yes

๐Ÿ”— Follow-up

Problem: Following from the previous problem, suppose Spectra, another superhero, has 5 times the strength of Jetstream. What is the strength of Spectra?

Gemini-1.5 Pro:

Reasoning: We know from the previous problem that Jetstream has a strength of 15.
Spectra has 5 times the strength of Jetstream, so Spectra's strength is 5 * 15 = <<5*15=75>>75. 
### Answer: 75

Expected answer: 75

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning:  Jason needs 6 beads to make 1 necklace.
### 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?

Gemini-1.5 Pro:

Reasoning: Each necklace requires 6 beads, and he wants to make 3 necklaces, so he needs 6 * 3 = <<6*3=18>>18 beads. 
### 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?

Gemini-1.5 Pro:

Reasoning: Jason's new design needs 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?

Gemini-1.5 Pro:

Reasoning:  2 multiplied by 3 is 2 * 3 = 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?

Gemini-1.5 Pro:

Reasoning: The previous code was 6. Multiplying that by 12 gives us 6 * 12 = 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?

Gemini-1.5 Pro:

Reasoning: 2 multiplied by 7 is 2 * 7 = 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?

Gemini-1.5 Pro:

Reasoning: Peter has a total of 6*9 = <<6*9=54>>54 dollars.
### Answer: 54 dollars

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?

Gemini-1.5 Pro:

Reasoning: Since Peter had $54 in his wallet, he will now have $54 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?

Gemini-1.5 Pro:

Reasoning:  He would have a total of 6 * 12 = <<6*12=72>>72 dollars.
### Answer: 72 dollars

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?

Gemini-1.5 Pro:

Reasoning: In 11 seconds, the butterfly flaps its wings 11*9 = <<11*9=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?

Gemini-1.5 Pro:

Reasoning: In 4 seconds, the butterfly flaps its wings 4 * 9 = <<4 * 9 = 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?

Gemini-1.5 Pro:

Reasoning: Since the plane travels at 12 miles per minute, in 6 minutes it would travel 12*6 = <<12*6=72>>72 miles. 
### Answer: 72 miles. 

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?

Gemini-1.5 Pro:

Reasoning:  If the plane travels at 11 miles per minute, in 6 minutes it would travel 11*6 = <<11*6=66>>66 miles.
### Answer: 66 miles. 

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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of ice skates (27) by the number of stores (9). 
This is represented by the equation 27 / 9 = 3.
### 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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of ice skates (9) by the number of stores (9).
This is represented by the equation 9 / 9 = 1. 
### 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?

Gemini-1.5 Pro:

Reasoning:  If each hour the factory produces 7 bars of soap, in 11 hours they would produce 11*7 = <<11*7=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?

Gemini-1.5 Pro:

Reasoning: Billy has 9*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?

Gemini-1.5 Pro:

Reasoning: We know from the previous problem that Billy has 27 kites. After doubling his collection, he will have 27*2 = <<27*2=54>>54 kites.
### 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?

Gemini-1.5 Pro:

Reasoning: Billy has 11*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?

Gemini-1.5 Pro:

Reasoning: Multiplying a number by itself is the same as squaring the number. 4 multiplied by itself (4 squared) is 4*4 = 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?

Gemini-1.5 Pro:

Reasoning: The outcome of the previous spell was 16. Multiplying 16 by 5 gives us 16 * 5 = 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?

Gemini-1.5 Pro:

Reasoning: The question asks for the outcome of multiplying 11 by 4. 
11 * 4 = 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?

Gemini-1.5 Pro:

Reasoning: To equally distribute the chairs, divide the total number of chairs by the number of rooms: 27 chairs / 3 rooms = <<27/3=9>>9 chairs per room.
### Answer: 9 

Expected answer: 9

Correct? Yes

๐Ÿ”— Follow-up

Problem: At first, there were 12 rooms instead of 3 to distribute the 27 chairs into. How many chairs would each room have in this case?

Gemini-1.5 Pro:

Reasoning: We follow the same logic as before, but now we divide by 12 rooms instead of 3: 27 chairs / 12 rooms = <<27/12=2.25>>2.25 chairs per room.
### Answer: 2.25 

Expected answer: 9/4

Correct? Yes

๐Ÿ”— Problem

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

Gemini-1.5 Pro:

Reasoning: Each shelf has 56/8 = <<56/8=7>>7 toy cars.
### 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?

Gemini-1.5 Pro:

Reasoning: If the store stocks one toy car per shelf, then there will be 1 toy car on each 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?

Gemini-1.5 Pro:

Reasoning: It takes 6*3 = <<6*3=18>>18 minutes to cook a full pizza.
It takes 18*3 = <<18*3=54>>54 minutes to cook 3 pizzas.
### Answer: 54 minutes 

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?

Gemini-1.5 Pro:

Reasoning: We know from the previous problem that it takes 54 minutes to make 3 pizzas. 
The special pizza takes the same amount of time to cook as the 3 regular pizzas. 
### Answer: 54 minutes 

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?

Gemini-1.5 Pro:

Reasoning: It takes 1*3 = <<1*3=3>>3 minutes to cook a full pizza.
It takes 3*3 = <<3*3=9>>9 minutes to cook 3 pizzas.
### Answer: 9 minutes 

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?

Gemini-1.5 Pro:

Reasoning: Arthur drives 7*4 = <<7*4=28>>28 hours over the 4 day 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?

Gemini-1.5 Pro:

Reasoning: Arthur drives 2*4 = <<2*4=8>>8 hours over the 4 day 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?

Gemini-1.5 Pro:

Reasoning: One blanket needs 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?

Gemini-1.5 Pro:

Reasoning:  You need 30*2 = <<30*2=60>>60 yards of yarn for two blankets. 
### 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?

Gemini-1.5 Pro:

Reasoning: One blanket now needs 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?

Gemini-1.5 Pro:

Reasoning: The bus travels 7 miles every hour. Since it traveled for 6 hours, we multiply 6 hours by the speed of 7 miles per hour.
We get: 6*7 = <<6*7=42>>42 miles.
### Answer: 42 miles 

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?

Gemini-1.5 Pro:

Reasoning: If the bus travels at 10 miles per hour, in 6 hours it would travel 6 times that distance.
Therefore, the bus would have traveled 6*10 = <<6*10=60>>60 miles. 
### Answer: 60 miles 

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?

Gemini-1.5 Pro:

Reasoning: Starlight's power level is calculated as 3 * 5.
3 * 5 = 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?

Gemini-1.5 Pro:

Reasoning: Starlight's initial power level was 3 * 5 = 15.
Her power-up training allows her to increase her power level by three times, meaning her new power level is 15 * 3 = 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?

Gemini-1.5 Pro:

Reasoning: Starlight's initial power level, in this scenario, is calculated as 3 * 6.
3 * 6 = 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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

Reasoning: We can find the area of one side of this backpack by multiplying the side length by itself: 4 inches * 4 inches = 16 square inches. 
### Answer: 16 square inches. 

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?

Gemini-1.5 Pro:

Reasoning: To divide the doubloons equally, we perform the calculation 36 / 3 = <<36/3=12>>12
### 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?

Gemini-1.5 Pro:

Reasoning:  We need to divide the total doubloons (36) by the number of crew members (7): 36 / 7 = <<36/7=5.14>>5.14. 
Since we can't have fractions of doubloons, each crew member gets 5 doubloons, and there will be some leftover. 
### 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?

Gemini-1.5 Pro:

Reasoning: The factory currently produces 5 robots/hour. Doubling this output means they will produce 5*2 = 10 robots/hour.
### Answer: 10 robots/hour 

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?

Gemini-1.5 Pro:

Reasoning: The factory is currently making 10 robots/hour. Multiplying this output by their original hourly output of 5 robots means they would produce 10*5 = 50 robots/hour.
### Answer: 50 robots/hour 

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?

Gemini-1.5 Pro:

Reasoning: The factory originally produces 5 robots/hour. Increasing output six times means they will produce 5*6 = 30 robots/hour. 
### Answer: 30 robots/hour 

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?

Gemini-1.5 Pro:

Reasoning: The height of the signpost is 9 * (81 / 9) = 81/1 * 9/9 = 81/1 = 81 units.
### Answer: 81 units. 

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?

Gemini-1.5 Pro:

Reasoning: The height of the bike rack is 6 * (81 / 9) = 6 * 9 = 54 units. 
### Answer: 54 units. 

Expected answer: 54

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: 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?

Gemini-1.5 Pro:

Reasoning: Over 3 minutes, Jamie would swing 11*3 = <<11*3=33>>33 times.
### 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?

Gemini-1.5 Pro:

Reasoning: This time, Jamie swung 6 * 1 = <<6*1=6>>6 times.
### 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?

Gemini-1.5 Pro:

Reasoning: James has 9 + 9 = <<9+9=18>> 18 robot toys now. 
### 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?

Gemini-1.5 Pro:

Reasoning: James bought 5 * 9 = <<5*9=45>>45 more robot toys.
Adding that to his original amount, James now has 45 + 9 = <<45+9=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?

Gemini-1.5 Pro:

Reasoning: In total, the chickens lay 11*7 = <<11*7=77>>77 eggs in a week.
### 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?

Gemini-1.5 Pro:

Reasoning: Since the farmer sells 77 eggs at $1 each, he makes 77*1 = $<<77*1=77>>77 in a week.
### 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?

Gemini-1.5 Pro:

Reasoning: In total, the chickens would lay 2*7 = <<2*7=14>>14 eggs in a week.
### 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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

Reasoning: The tree grows 4 / 2 = <<4/2=2>>2 centimeters each night.
Over 10 nights, this growth becomes 2 * 10 = <<2*10=20>>20 centimeters.
### Answer: 20 centimeters 

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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

Reasoning: To find the number of mice in each cage, divide the total number of mice (77) by the number of cages (11).
That means there would be 77/11 = <<77/11 = 7>>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?

Gemini-1.5 Pro:

Reasoning: The scientist realized she actually had 77 / 2 = <<77/2=38.5>>38.5 mice. 
Since you can't have half a mouse, this problem is not realistic. 
### Answer: This problem is not realistic. 

Expected answer: 77/2

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make one earring.
Sally needs 7*8 = <<7*8=56>>56 beads to make eight earrings.
### 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?

Gemini-1.5 Pro:

Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make one earring. 
If she wants to make 2 earrings, she needs 7*2 = <<7*2=14>>14 beads.
### 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?

Gemini-1.5 Pro:

Reasoning: If Brenda divides her 9 apples equally amongst 9 friends, each friend will receive 9/9 = 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?

Gemini-1.5 Pro:

Reasoning: When Brenda divides 9 apples equally between 2 friends, each friend receives 9/2 = 4.5 apples.
### Answer: 4.5 

Expected answer: 9/2

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: The tightrope is 5 * 10 feet = <<5*10=50>>50 feet long.
Therefore, the stuntman will need to walk 50 feet to complete his stunt.
### Answer: 50 feet 

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?

Gemini-1.5 Pro:

Reasoning: The tightrope is 5 * 1 feet = <<5*1=5>>5 feet long. 
Therefore, he would need to walk 5 feet to complete his stunt.
### Answer: 5 feet 

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?

Gemini-1.5 Pro:

Reasoning: 
Dividing 30 by 6 gives us 30 / 6 = <<30/6=5>>5. So, one side of the square is 5 units long.
The area of a square is found by squaring the length of one side, so the area of this square is 5 * 5 = <<5*5=25>>25 square units.
### Answer: 25 square units. 

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?

Gemini-1.5 Pro:

Reasoning: 
Dividing 30 by 6 gives us 30 / 6 = <<30/6=5>>5. So, one side of the square is 5 units long.
The area of a square is found by squaring the length of one side, so the area of this square is 5 * 5 = <<5*5=25>>25 square units.
Multiplying the area by 3, we get 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?

Gemini-1.5 Pro:

Reasoning:
Dividing 12 by 6 gives us 12 / 6 = <<12/6=2>>2. So, one side of the new square is 2 units long.
The area of a square is found by squaring the length of one side, so the area of this new square is 2 * 2 = <<2*2=4>>4 square units.
### Answer: 4 square units. 

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?

Gemini-1.5 Pro:

Reasoning: Since the star emits 7 particles each second, over 8 seconds it emits 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?

Gemini-1.5 Pro:

Reasoning: If the star emits 7 particles each second for 5 seconds, it will emit 7*5 = <<7*5=35>> 35 particles total.
### 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?

Gemini-1.5 Pro:

Reasoning: The factory produces 24 shoes / 3 hours = <<24/3=8>> 8 shoes per hour.
In five hours, the factory will produce 8 shoes/hour * 5 hours = <<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?

Gemini-1.5 Pro:

Reasoning: The factory produces 24 shoes / 3 hours = <<24/3=8>> 8 shoes per hour.
In ten hours, the factory will produce 8 shoes/hour * 10 hours = <<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?

Gemini-1.5 Pro:

Reasoning: A year has 12 months, and the butterfly lives for 5 days each month, so in a year, they live 12 * 5 = <<12*5=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?

Gemini-1.5 Pro:

Reasoning: The butterfly lives 5 days a week, and we want to find out how long they live in 7 weeks, so they live 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?

Gemini-1.5 Pro:

Reasoning: One magic mushroom can feed 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?

Gemini-1.5 Pro:

Reasoning: One magic mushroom can feed 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?

Gemini-1.5 Pro:

Reasoning: In one hour, the river flows 4 kilometers. So, in 10 hours it will flow 4 * 10 = 40 kilometers.
### Answer: 40 kilometers 

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?

Gemini-1.5 Pro:

Reasoning: The river flows 4 kilometers every hour, so in 2 hours, it would flow 4 * 2 = 8 kilometers. 
### Answer: 8 kilometers 

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?

Gemini-1.5 Pro:

Reasoning: Since the slide is double Ava's height, the slide is 12*2 = <<12*2=24>>24 feet tall.
### Answer: 24 feet

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?

Gemini-1.5 Pro:

Reasoning: We know from the previous problem that the slide is 24 feet tall. Tripling the height of the slide would make it 24*3 = <<24*3=72>>72 feet tall.
### Answer: 72 feet

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?

Gemini-1.5 Pro:

Reasoning: If Ava is 11 feet tall, a slide double her height would be 11*2 = <<11*2=22>>22 feet tall. 
### Answer: 22 feet

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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

Reasoning: If the tap runs for 7 minutes, it will fill the tank with 2*7 = <<2*7=14>>14 liters of water.
### Answer: 14 liters 

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?

Gemini-1.5 Pro:

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?

Gemini-1.5 Pro:

Reasoning: Fred reads 11/3 = <<11/3=3.6666666666666665>>3.6666666666666665 letters per day. Since we can't have fractions of letters, we round to the nearest whole number.
### Answer: 4 

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?

Gemini-1.5 Pro:

Reasoning: First, we need to find how many hours the factory runs in a day: 24/7 hours/day * 7 days/week = 24 hours/day
Then, we multiply that number by the number of cars produced per hour: 24 hours/day * 8 cars/hour = 192 cars/day
### Answer: 192 

Expected answer: 96

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: 
First find how many toys ('i') each cousin got: 44 toys / 4 cousins = <<44/4=11>>11 toys per cousin.
Then multiply that number by 5: 11 toys/cousin * 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?

Gemini-1.5 Pro:

Reasoning:
First find how many toys ('i') each friend got: 44 toys / 11 friends = <<44/11=4>>4 toys per friend.
Then multiply that number by 5: 4 toys/friend * 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?

Gemini-1.5 Pro:

Reasoning: To divide $9 equally among 3 children, we perform the calculation $9 / 3 = $<<9/3=3>>3. 
### Answer: $3

Expected answer: 3

Correct? Yes

๐Ÿ”— Follow-up

Problem: If each of Mike's children decided to save the money they received from their father every month for a year, how much money would each child have saved by the end of the year?

Gemini-1.5 Pro:

Reasoning: There are 12 months in a year, so each child would save $3 each month for 12 months which would be a total of $3 x 12 = $<<3*12=36>>36.
### Answer: $36

Expected answer: 36

Correct? Yes

๐Ÿ”— Follow-up

Problem: If Mike had $11 instead of $9 and he still decided to divide it equally among his 3 children, how much money would each child receive now?

Gemini-1.5 Pro:

Reasoning: When we divide $11 equally among 3 children, we get $11 / 3 = $<<11/3=3.6666666666666665>>$3.6666666666666665.  Since we are dealing with money, we round this amount to the nearest cent.
### Answer: $3.67 

Expected answer: 11/3

Correct? No

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.

Gemini-1.5 Pro:

Reasoning: The cow produces 72/12 = <<72/12=6>>6 liters of milk in a day. 
The cow 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?

Gemini-1.5 Pro:

Reasoning: The cow produces 72/10 = <<72/10=7.2>>7.2 liters of milk in a day.
The cow 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?

Gemini-1.5 Pro:

Reasoning: If 10 inches represents 30 miles, then 1 inch represents 30/10 = <<30/10=3>>3 miles.
### Answer: 3 miles. 

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?

Gemini-1.5 Pro:

Reasoning: With the adjusted scale, 1 inch on the map represents 30/12 = <<30/12=2.5>>2.5 miles.
### Answer: 2.5 miles. 

Expected answer: 5/2

Correct? No

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?

Gemini-1.5 Pro:

Reasoning: The truck can carry a total of 8 * 8 = <<8*8=64>> 64 tons when fully loaded.
### Answer: 64 tons 

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?

Gemini-1.5 Pro:

Reasoning: The truck itself has weight, so you add the cargo weight to the truck's own weight to find the total weight being carried. However, we don't know the truck's weight.  You need to know how much the truck weighs to calculate that.  The problem only tells us the total cargo weight, which is the same as the total tire load capacity: 64 tons. 
### Answer: 64 tons  

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?

Gemini-1.5 Pro:

Reasoning: With each tire capable of carrying 3 tons, the truck could carry a total of 8 * 3 = <<8*3=24>> 24 tons. 
### Answer: 24 tons 

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?

Gemini-1.5 Pro:

Reasoning: Since each fruit gives you 1 cup of juice, then 4 fruits will give you 4 * 1 = 4 cups of juice. 
### Answer: 4 cups 

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?

Gemini-1.5 Pro:

Reasoning: Since one fruit makes one cup of juice, you would have 1 cup of juice. 
### Answer: 1 cup 

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?

Gemini-1.5 Pro:

Reasoning: Sara has a total of 5 colors * 5 pencils each = <<5*5=25>>25 colored pencils. 
### 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?

Gemini-1.5 Pro:

Reasoning: Sara had 25 colored pencils and she bought another 25, so now she has 25 + 25 = <<25+25=50>>50 colored pencils.
### 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?

Gemini-1.5 Pro:

Reasoning: Sara has a total of 5 colors * 11 pencils each = <<5*11=55>>55 colored pencils.
### 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?

Gemini-1.5 Pro:

Reasoning:  If each letter is worth 1 point, a 12-letter word would give you 12 * 1 = 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?

Gemini-1.5 Pro:

Reasoning: If you get 12 points per round and play 8 rounds, you will earn a total of 12 * 8 = 96 points.
### 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?

Gemini-1.5 Pro:

Reasoning:  With each letter worth 1 point, a 9-letter word would earn you 9 * 1 = 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?

Gemini-1.5 Pro:

Reasoning: Jake has a total of 7*7 = <<7*7=49>>49 bottles of water.
### 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?

Gemini-1.5 Pro:

Reasoning: Since Jake didn't drink or remove any bottles, he still has all the bottles he stored.
### Answer: 49 

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?

Gemini-1.5 Pro:

Reasoning: Each piano has 4 legs, and there are 2 pianos, so there are 4*2 = <<4*2=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?

Gemini-1.5 Pro:

Reasoning: Each piano has 3 legs, and there are 2 pianos, so there are 3*2 = <<3*2=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?

Gemini-1.5 Pro:

Reasoning: A keyring has 2 keys, and it's split between 2 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?

Gemini-1.5 Pro:

Reasoning:  There are 11 keyrings, and each keyring holds 2 keys, meaning there are a total of 11 * 2 = <<11*2=22>>22 keys.
Since each keyring is split between 2 people, and there are 11 keyrings in total, this means 22 keys are being split between 2 people, meaning 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?

Gemini-1.5 Pro:

Reasoning: You can't split 3 keys evenly between 2 people. Each person would get 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?

Gemini-1.5 Pro:

Reasoning: Javier has a total of 9*6 = <<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?

Gemini-1.5 Pro:

Reasoning: With 8 bottles in each crate, Javier now has 9*8 = <<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?

Gemini-1.5 Pro:

Reasoning: Since 1 dollar equals 1 euro, a shirt that costs 10 dollars also costs 10 euros. 
### Answer: 10 euros. 

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?

Gemini-1.5 Pro:

Reasoning: Even though the exchange rate changed, the price of the shirt in dollars remains the same.
### Answer: 10 dollars. 

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?

Gemini-1.5 Pro:

Reasoning: Since 1 dollar equals 1 euro, a shirt that costs 9 dollars also costs 9 euros. 
### Answer: 9 euros. 

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?

Gemini-1.5 Pro:

Reasoning: The plant grows 12*5 = <<12*5=60>>60 flowers in 5 months.
### 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?

Gemini-1.5 Pro:

Reasoning: Twice the size of the original beach ball is 3 * 2 = <<3*2=6>> 6 feet.
### Answer: 6 feet 

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?

Gemini-1.5 Pro:

Reasoning: Twice the size of the original beach ball is 5 * 2 = <<5*2=10>> 10 feet. 
### Answer: 10 feet 

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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of tomatoes (24) by the number of boxes (4).
This means each box will have 24 / 4 = <<24/4=6>>6 tomatoes. 
### 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?

Gemini-1.5 Pro:

Reasoning: Since he's putting all the tomatoes back together, there will be the same number as he started with. 
### 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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of tomatoes (24) by the number of boxes (2).
This means each box would have 24 / 2 = <<24/2=12>>12 tomatoes.
### 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?

Gemini-1.5 Pro:

Reasoning:
Distance "B" = 16 / 2 = <<16/2=8>>8
Total distance "X" = 8 * 6 = <<8*6=48>>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?

Gemini-1.5 Pro:

Reasoning:
Distance "B" remains the same = 16 / 2 = <<16/2=8>>8
New total distance "X" = 8 * 8 = <<8*8=64>>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?

Gemini-1.5 Pro:

Reasoning: Since each episode is 8 minutes long, watching 2 episodes back-to-back will take 8*2 = <<8*2=16>>16 minutes.
### Answer: 16 minutes. 

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?

Gemini-1.5 Pro:

Reasoning: Watching 2 episodes back-to-back takes 8*2 = <<8*2=16>>16 minutes.
Over 5 days, Lisa spent 16*5 = <<16*5=80>>80 minutes watching her TV show.
### Answer: 80 minutes. 

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?

Gemini-1.5 Pro:

Reasoning: Watching two episodes of this show back-to-back would take 12 * 2 = <<12*2=24>>24 minutes.
### Answer: 24 minutes. 

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?

Gemini-1.5 Pro:

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

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?

Gemini-1.5 Pro:

Reasoning: Since John has 3 times as many blankets as Jane, and Jane has 6 blankets, John has 3 * 6 = <<3*6=18>> 18 blankets.
### Answer: 18 blankets
 

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?

Gemini-1.5 Pro:

Reasoning: Each child will receive $28 / 7 = $<<28/7=4>>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?

Gemini-1.5 Pro:

Reasoning: Each child would receive $10 / 7 = $<<10/7=1.43>>1.43 (rounded to the nearest cent). 
### 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?

Gemini-1.5 Pro:

Reasoning:  The tailor uses 2*2 = <<2*2=4>>4 meters of fabric for lining per shirt.
The tailor will use 5*4 = <<5*4=20>>20 meters of fabric for the lining of 5 shirts.
### Answer: 20 meters 

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?

Gemini-1.5 Pro:

Reasoning: She sells 1 scooter every day for 8 days, so she sells 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?

Gemini-1.5 Pro:

Reasoning: Kate sold 8 scooters in the first 8 days.  During the grand sale, she sells 8 scooters each day for 8 days, so she sells 8*8 = <<8*8=64>>64 scooters.
### 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?

Gemini-1.5 Pro:

Reasoning: If Kate sells 7 scooters each day for 8 days, she sells a total of 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?

Gemini-1.5 Pro:

Reasoning: The problem states that one 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?

Gemini-1.5 Pro:

Reasoning:  The problem now states that 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?

Gemini-1.5 Pro:

Reasoning: To divide the 12 hours into 6 equal parts we perform the division 12/6 = <<12/6=2>>2.
### Answer: 2 hours 

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?

Gemini-1.5 Pro:

Reasoning:  We need to divide the total number of friends (12) by the number of friends in each group (3).
This can be represented as 12 / 3 = <<12/3=4>>4
### 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?

Gemini-1.5 Pro:

Reasoning:  We know from the previous problem that there are 4 groups. Since each group buys 7 pizzas, we multiply the number of groups by the number of pizzas per group.
This translates to 4 groups * 7 pizzas/group = 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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of friends (6) by the number of friends in each group (3).
This can be represented as 6 / 3 = <<6/3=2>>2
### 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?

Gemini-1.5 Pro:

Reasoning: They use 6*4 = <<6*4=24>>24 buckets of sand in total.
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?

Gemini-1.5 Pro:

Reasoning: Since they used 72 shovels of sand, they will need the same number of bottles of seawater.
### 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?

Gemini-1.5 Pro:

Reasoning: They use 5*4 = <<5*4=20>>20 buckets of sand in total.
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?

Gemini-1.5 Pro:

Reasoning: Jenna needs 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?

Gemini-1.5 Pro:

Reasoning: Jenna now needs 7 bracelets x 12 beads/bracelet = <<7*12=84>>84 beads.
### 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?

Gemini-1.5 Pro:

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?

Gemini-1.5 Pro:

Reasoning: Penny can brush her teeth 66/9 = <<66/9=7.33>>7.33 times with the new tube of toothpaste. Since we can't have fractions of a tooth brushing, we round down to the nearest whole number. 
### 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?

Gemini-1.5 Pro:

Reasoning: Vanessa has 4 x 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?

Gemini-1.5 Pro:

Reasoning: Vanessa would have 4 x 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?

Gemini-1.5 Pro:

Reasoning: Mary can make 6/6= <<6/6=1>> skirt with 6 yards of fabric. 
### 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?

Gemini-1.5 Pro:

Reasoning: Mary starts with 1 skirt.
Multiplying the number of skirts she has by itself equals 1*1 = <<1*1=1>>1 skirt.
### Answer: 1 

Expected answer: 1

Correct? Yes

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?

Gemini-1.5 Pro:

Reasoning: Mary has enough fabric to make 1 whole skirt, because 7 yards is greater than 6 yards. She does not have enough fabric for a second skirt.
### 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?

Gemini-1.5 Pro:

Reasoning: Jordan has 9*1 = <<9*1=9>>9 cards in total.
After doubling his cards, Jordan 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?

Gemini-1.5 Pro:

Reasoning: Jordan currently has 18 cards, and doubling that amount gives him 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?

Gemini-1.5 Pro:

Reasoning: If Jordan originally had 5 card packs, he would have 5 * 1 = <<5*1=5>>5 cards.
After doubling his cards, he would 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?

Gemini-1.5 Pro:

Reasoning: The wizard staff needs a 1-minute break after every 6 periods, making a total channeling time of 60 - 1 = <<60-1=59>>59 minutes.
Each period of the spell lasts 59 / 6 = <<59/6=9.83>>9.83 minutes.
### Answer: 9.83 minutes 

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?

Gemini-1.5 Pro:

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?

Gemini-1.5 Pro:

Reasoning: At the new rhythm, 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?

Gemini-1.5 Pro:

Reasoning: Since John needs 2 pairs of socks for every pair of pants, we can find the number of pants by dividing the total number of socks by the number of socks needed per pant: 22 pairs of socks / 2 pairs of socks/pant = <<22/2=11>>11 pairs of pants.
### Answer: 11 pairs of pants. 

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?

Gemini-1.5 Pro:

Reasoning: With this new strategy, John needs 2 socks / 1 pair of pants = 2 socks per pair of pants. Since he's packing 4 socks, he should pack 4 socks / 2 socks/pair of pants = 2 pairs of pants. 
### Answer: 2 pairs of pants. 

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?

Gemini-1.5 Pro:

Reasoning: John has 8 x 5 = <<8*5=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?

Gemini-1.5 Pro:

Reasoning: John would have 6 x 5 = <<6*5=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?

Gemini-1.5 Pro:

Reasoning: If the 6 shifts lasted 60 hours, then each shift lasted 60/6 = <<60/6=10>>10 hours.
Since each guard protects the ship for one shift, one guard will have to protect the ship for 10 hours.
### Answer: 10 hours 

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?

Gemini-1.5 Pro:

Reasoning: With 12 shifts covering the same 60 hours, each shift would last 60/12 = <<60/12=5>>5 hours. 
### Answer: 5 hours 

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?

Gemini-1.5 Pro:

Reasoning:  A 6-meter long rope will cost John 6 * $5 = $<<6*5=30>>30.
### Answer: $30 

Expected answer: 30

Correct? Yes

๐Ÿ”— Follow-up

Problem: Going further from the previous problem, John now realizes he needs twice as much rope! How much will it cost him to buy 12 meters of rope in all?

Gemini-1.5 Pro:

Reasoning:  Since John needs twice the rope, he needs 6 * 2 = <<6*2=12>>12 meters of rope.
This will cost him 12 * $5 = $<<12*5=60>>60.
### Answer: $60 

Expected answer: 60

Correct? Yes

๐Ÿ”— Follow-up

Problem: After considering his needs again, John realized that he actually needs 7 meters of rope, not 6. How much will it cost him to buy this new length of rope?

Gemini-1.5 Pro:

Reasoning: A 7-meter long rope will cost John 7 * $5 = $<<7*5=35>>35.
### Answer: $35 

Expected answer: 35

Correct? Yes

๐Ÿ”— Problem

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

Gemini-1.5 Pro:

Reasoning: 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?

Gemini-1.5 Pro:

Reasoning: Each friend would 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?

Gemini-1.5 Pro:

Reasoning: To find out how many honey pots each cub will receive, divide the total number of honey pots (40) by the number of cubs (8). 
40 honey pots / 8 cubs = 5 honey pots per cub
### 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?

Gemini-1.5 Pro:

Reasoning: We will divide the total number of honey pots (40) by the new number of cubs (10).
40 honey pots / 10 cubs = 4 honey pots per cub
### 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?

Gemini-1.5 Pro:

Reasoning: Let the penguin's height be represented by the variable 'h'.
In 28 seconds, the penguin reaches a depth of 4h.
We need to find the square of the depth, which is (4h)^2 = 16h^2.

However, we don't have enough information to determine the penguin's actual height (h) and, therefore, cannot calculate the numerical value of 16h^2. 

### Answer:  We cannot determine the square of the depth reached in seconds with the given information. 

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?

Gemini-1.5 Pro:

Reasoning: 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?

Gemini-1.5 Pro:

Reasoning: In 4 hours, an elephant will eat 4 hours * 7 kg/hour = 28 kg of food. 
### Answer: 28 kg

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?

Gemini-1.5 Pro:

Reasoning: If the elephant eats 3 kg of food per hour, then in 4 hours it would eat 3 kg/hour * 4 hours = 12 kg of food.
### Answer: 12 kg 

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?

Gemini-1.5 Pro:

Reasoning: The dragon has a total of 3*8 = <<3*8=24>>24 eyes. 
### 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?

Gemini-1.5 Pro:

Reasoning: Since both dragons are of the same kind, the second dragon also has 24 eyes.
Together, they have 24+24 = <<24+24=48>>48 eyes.
### 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?

Gemini-1.5 Pro:

Reasoning:  The dragon would have 3*11 = <<3*11=33>>33 eyes. 
### 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?

Gemini-1.5 Pro:

Reasoning: Since the candle burns at a rate of 2 hours per inch, a 3-inch candle will take 3 * 2 = <<3*2=6>> 6 hours to burn out completely.
### Answer: 6 hours

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?

Gemini-1.5 Pro:

Reasoning: Charlie shares 4 / 2 = <<4/2=2>>2 chocolates with his sister.
He is left with 4 - 2 = <<4-2=2>>2 chocolates.
After doubling the amount, he 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?

Gemini-1.5 Pro:

Reasoning: Charlie had 4 chocolates, and after multiplying by 9 he 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?

Gemini-1.5 Pro:

Reasoning: Charlie shares 2 / 2 = <<2/2=1>>1 chocolate with his sister.
He is left with 2 - 1 = <<2-1=1>>1 chocolate.
After doubling the amount, he 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?

Gemini-1.5 Pro:

Reasoning: We need to divide the total number of towers (36) by the number of walls (6): 36 / 6 = <<36/6=6>>6.
### 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?

Gemini-1.5 Pro:

Reasoning: With 10 walls and 36 towers, we need to divide the total number of towers (36) by the new number of walls (10): 36 / 10 = <<36/10=3.6>>3.6.
### Answer: 3.6 

Expected answer: 18/5

Correct? Yes