Common Core Standard 3.OA.C.7
This standard covers the following:
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 ร 5 = 40, one knows 40 รท 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Problem: On a slide, for each 1 meter of sliding, Isaac gains 3 times the speed. If Isaac slides down 1 meter, how much speed does he gain?
DeepSeek Math 7B Base:
Reasoning: Isaac gains 3 times the speed for each 1 meter of sliding. If Isaac slides down 1 meter, he gains 3 times the speed. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In light of the original problem, suppose for each 1 meter of sliding, Isaac now gains 5 times the speed instead of 3 times the speed. In this case, how much speed does he gain after sliding 1 meter?
DeepSeek Math 7B Base:
Reasoning: Isaac gains 5 times the speed for each 1 meter of sliding. If Isaac slides down 1 meter, he gains 5 times the speed. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In the forest, for every 9 brown bears there are 11 times as many black bears. If there are 9 brown bears, how many black bears are there in the forest?
DeepSeek Math 7B Base:
Reasoning: There are 9*11 = <<9*11=99>>99 black bears in the forest. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a particular pond, there are 7 fish. If each fish has 2 sides, how many fish sides are there in total in the pond?
DeepSeek Math 7B Base:
Reasoning: There are 7*2 = <<7*2=14>>14 fish sides in total in the pond. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In an experiment, it is determined that the fuel needed for a rocket is a product of the mass of that rocket and 12. If the mass of the rocket is 8, how much fuel is needed for the rocket?
DeepSeek Math 7B Base:
Reasoning: The fuel needed for the rocket is 8*12 = <<8*12=96>>96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In a further experiment, a third rocket with the same mass of 8 is tested, but this time it is equipped with an improved fuel system that requires less fuel. Now, this rocket requires only 5 units of fuel per mass. How much fuel is this third rocket going to need?
DeepSeek Math 7B Base:
Reasoning: The fuel needed for the rocket is 8*5 = <<8*5=40>>40. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Theresa planted 80 flower seeds evenly among 10 plots. This means each plot received a certain amount of flower seeds. If she later planted an extra plot with the same amount of seeds as in each of the previous plots, how many seeds did she use for the extra plot?
DeepSeek Math 7B Base:
Reasoning: Theresa planted 80/10 = <<80/10=8>>8 seeds in each plot. Theresa planted 80+8 = <<80+8=88>>88 seeds in the extra plot. ### Answer: 88
Expected answer: 8
Correct? No
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 Math 7B Base:
Reasoning: 1 yard of fabric is needed to make 1 section. 1 yard of fabric is needed to make 1 section. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Going back to the first part of the previous problem, suppose that each section of the dress actually requires 6 yards of fabric instead of 1. How many yards of fabric are needed for one section of the dress in this case?
DeepSeek Math 7B Base:
Reasoning: 6 yards of fabric is needed to make 1 section. 6 yards of fabric is needed to make 1 section. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Captain Blackbeard buries 11 treasure chests in a secret underground cave. To keep the treasure safe, he creates a magical spell that triples the amount of treasure chests inside the cave. How many treasure chests will be in the cave after the spell is cast?
DeepSeek Math 7B Base:
Reasoning: 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. 11*3 = <<11*3=33>>33 treasure chests will be in the cave after the spell is cast. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: Remembering his magical spell, Captain Blackbeard starts to second guess himself. What if his magical spell had only doubled the amount of treasure chests instead of tripling? How many treasure chests would be in the cave in that case, after the spell is cast?
DeepSeek Math 7B Base:
Reasoning: Captain Blackbeard buries 11 treasure chests in a secret underground cave. To keep the treasure safe, he creates a magical spell that doubles the amount of treasure chests inside the cave. 11*2 = <<11*2=22>>22 treasure chests will be in the cave after the spell is cast. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: If a baby giraffe grows by 4 feet every year, how tall would the giraffe be after 11 years?
DeepSeek Math 7B Base:
Reasoning: The giraffe would be 4*11 = <<4*11=44>>44 feet tall after 11 years. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: If instead the baby giraffe grows by 4 feet every year, how tall would the giraffe be after 7 years?
DeepSeek Math 7B Base:
Reasoning: The giraffe would be 4*7 = <<4*7=28>>28 feet tall after 7 years. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Pete has 4 pieces of rope. If each piece of rope is 8 feet long, how many feet of rope does Pete have in total?
DeepSeek Math 7B Base:
Reasoning: Pete has 4*8 = <<4*8=32>>32 feet of rope. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: After examining his ropes, Pete figures out that he needs to use all of his rope for a project. If he combines all 4 pieces of his 8 foot long ropes, how many feet of rope will he have for his project?
DeepSeek Math 7B Base:
Reasoning: Pete has 4*8 = <<4*8=32>>32 feet of rope. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Upon rechecking his inventory, Pete realizes he actually has 12 pieces of rope not 4. If each of these 12 ropes are 8 feet each, how much total length of rope does Pete have now?
DeepSeek Math 7B Base:
Reasoning: Pete has 12*8 = <<12*8=96>>96 feet of rope. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In the Marine Institute, there are 81 starfish. If these starfish are equally distributed in 9 tanks, how many starfish will be placed in each tank?
DeepSeek Math 7B Base:
Reasoning: 81/9 = <<81/9=9>>9 starfish will be placed in each tank. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Earlier, we learned the Marine Institute distributed 81 starfish equally across 9 tanks. But what if they had only 12 starfish instead? How many starfish would equal distribution across the 9 tanks result in then?
DeepSeek Math 7B Base:
Reasoning: 12/9 = <<12/9=1.3333333333333333>>1.3333333333333333 starfish would equal distribution across the 9 tanks result in then. ### Answer: 1.3333333333333333
Expected answer: 4/3
Correct? Yes
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 Math 7B Base:
Reasoning: Lisa found 2 toys on the second day. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After finding toys in the sandbox for two days, Lisa decides to bury and later dig up the exact square of the number of toys she found on the second day. How many toys will Lisa bury and dig up if she follows this plan?
DeepSeek Math 7B Base:
Reasoning: Lisa will bury and dig up 2*2 = <<2*2=4>>4 toys. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Instead of finding twice as many toys as the previous day, Lisa now finds ten times as many toys as the previous day. How many toys will she find on the second day following this new rule?
DeepSeek Math 7B Base:
Reasoning: Lisa found 10 toys on the second day. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A robot can process information in 11 microseconds, but it has to be divided by 11 to match the system's speed. How quickly can the robot process information to match the system's speed?
DeepSeek Math 7B Base:
Reasoning: The robot can process information in 11/11 = <<11/11=1>>1 microsecond. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Given that the robot processed information to match the system's speed, it needed to multiply this new processing speed by itself to calculate its efficiency rate. What is the robot's efficiency rate?
DeepSeek Math 7B Base:
Reasoning: The robot's efficiency rate is 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: If the robot's processing speed were slightly faster and instead was able to process information in 12 microseconds which still needed to be divided by 11 to match the system's speed, how quickly could the robot process information to match the system's speed then?
DeepSeek Math 7B Base:
Reasoning: The robot can process information in 12/11 = <<12/11=1.090909090909091>>1.090909090909091 microsecond. ### Answer: 1.090909090909091
Expected answer: 12/11
Correct? No
Problem: Each tomato seed will produce 3 tomatoes. If Nina plants 6 tomato seeds, how many tomatoes will she produce in total?
DeepSeek Math 7B Base:
Reasoning: Nina will produce 3*6 = <<3*6=18>>18 tomatoes. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Each of these tomatoes will produce 3 new seeds of its own. Using all the seeds from the tomatoes that Nina grows, how many new tomato plants could she potentially grow?
DeepSeek Math 7B Base:
Reasoning: Each tomato will produce 3 new seeds. Nina will have 18*3 = <<18*3=54>>54 seeds. She can grow 54/6 = <<54/6=9>>9 new tomato plants. ### Answer: 9
Expected answer: 54
Correct? No
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 Math 7B Base:
Reasoning: The alien can transmit 11 words per minute. The alien can transmit 11 words in 1 minute. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In the above problem, the alien learned another new word. If they transmit each word 11 times per minute and the alien can now transmit two words, how many transmissions will the alien be able to make after 1 minute?
DeepSeek Math 7B Base:
Reasoning: The alien can transmit 11 words per minute. The alien can transmit 11 words in 1 minute. The alien can transmit 22 words in 1 minute. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: In the previous problem, instead of transmitting each word 11 times per minute, suppose the alien can only transmit each word 3 times per minute. How many transmissions will the alien be able to make after 1 minute if they learn a new word?
DeepSeek Math 7B Base:
Reasoning: The alien can transmit 3 words per minute. The alien can transmit 3 words in 1 minute. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A unicorn travels 35 miles over 7 hours. How many miles does the unicorn travel in one hour?
DeepSeek Math 7B Base:
Reasoning: A unicorn travels 35/7 = <<35/7=5>>5 miles in one hour. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: If the unicorn maintains the same speed, how many miles would it travel in 3 hours?
DeepSeek Math 7B Base:
Reasoning: A unicorn travels 5*3 = <<5*3=15>>15 miles in 3 hours. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: If instead the unicorn traveled 35 miles in 2 hours, how many miles would the unicorn travel in one hour?
DeepSeek Math 7B Base:
Reasoning: A unicorn travels 35/2 = <<35/2=17.5>>17.5 miles in one hour. ### Answer: 17.5
Expected answer: 35/2
Correct? Yes
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 Math 7B Base:
Reasoning: Green Gauntlet's strength is 3 times his original strength. Jetstream's strength is 5 times Green Gauntlet's strength. Jetstream's strength is 5*3 = <<5*3=15>>15 times his original strength. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Following from the previous problem, suppose Spectra, another superhero, has 5 times the strength of Jetstream. What is the strength of Spectra?
DeepSeek Math 7B Base:
Reasoning: Jetstream's strength is 5*3 = <<5*3=15>>15 times his original strength. Spectra's strength is 5 times Jetstream's strength. Spectra's strength is 5*15 = <<5*15=75>>75 times his original strength. ### Answer: 75
Expected answer: 75
Correct? Yes
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 Math 7B Base:
Reasoning: 1 necklace requires 6 beads. 1 necklace requires 6 beads. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Jason had made one necklace requiring 6 beads, but now he wants to make a total of 3 necklaces. How many beads will he need in total to make these 3 necklaces?
DeepSeek Math 7B Base:
Reasoning: 1 necklace requires 6 beads. 3 necklaces require 3*6 = <<3*6=18>>18 beads. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the original problem, Jason made one necklace using 6 beads. But what if he wanted to use a new design that requires 8 times as many beads as his original design? How many beads would Jason need to create this new necklace?
DeepSeek Math 7B Base:
Reasoning: 1 necklace requires 6 beads. 1 necklace requires 6 beads. 8 times as many beads as 1 necklace requires 6*8 = <<6*8=48>>48 beads. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A puzzle box indicates that you need to multiply 2 by 3 to unlock it. What is the unlock code for the puzzle box?
DeepSeek Math 7B Base:
Reasoning: 2*3 = <<2*3=6>>6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After successfully unlocking the puzzle box with the code obtained by multiplying 2 by 3, a new challenge appears on the screen inside the box. It tells you to multiply the previous code by 12 to get the final secret code to complete the puzzle. What is the final code?
DeepSeek Math 7B Base:
Reasoning: 6*12 = <<6*12=72>>72. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: After completing the previous challenge, another puzzle appears on the next screen inside the box. It instructs you to multiply 2 by 7 instead of 3. What number will you get by following this new instruction for the puzzle?
DeepSeek Math 7B Base:
Reasoning: 2*7 = <<2*7=14>>14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Peter has 6 different wallets and in each wallet, he has 9 dollars. If he stacks all the money in one wallet, how much money will be in that wallet?
DeepSeek Math 7B Base:
Reasoning: Peter has 6*9 = <<6*9=54>>54 dollars in total. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: If Peter then puts all of the money from the one wallet into a piggy bank, how much money will be in the piggy bank?
DeepSeek Math 7B Base:
Reasoning: Peter has 54 dollars in total. The piggy bank will have 54 dollars. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: If Peter originally had 12 dollars in each of the 6 wallets instead of 9, how much money would be in the one wallet then?
DeepSeek Math 7B Base:
Reasoning: Peter has 6*12 = <<6*12=72>>72 dollars in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A butterfly flaps its wings 9 times in one second. How many times does it flap its wings in 11 seconds?
DeepSeek Math 7B Base:
Reasoning: A butterfly flaps its wings 9*11 = <<9*11=99>>99 times in 11 seconds. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Now consider that the butterfly only flaps its wings 9 times in one second. How many times would it flap its wings in 4 seconds?
DeepSeek Math 7B Base:
Reasoning: A butterfly flaps its wings 9*4 = <<9*4=36>>36 times in 4 seconds. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: A plane travels at a constant speed of 12 miles per minute. How many miles would the plane cover in 6 minutes?
DeepSeek Math 7B Base:
Reasoning: The plane travels 12*6 = <<12*6=72>>72 miles in 6 minutes. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: If the plane's speed was instead 11 miles per minute, how many miles would the plane cover in the same time period of 6 minutes?
DeepSeek Math 7B Base:
Reasoning: The plane travels 11*6 = <<11*6=66>>66 miles in 6 minutes. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Josephine has 27 pairs of ice skates and wants to divide them equally among the 9 stores where she works. How many pairs of ice skates will each store receive?
DeepSeek Math 7B Base:
Reasoning: Josephine has 27/9 = <<27/9=3>>3 pairs of ice skates. Each store will receive 3 pairs of ice skates. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a different scenario, Josephine originally had 9 pairs of ice skates instead of 27 that she wanted to distribute equally among the 9 stores. How many pairs of ice skates would each store receive in this case?
DeepSeek Math 7B Base:
Reasoning: Josephine has 9/9 = <<9/9=1>>1 pair of ice skates. Each store will receive 1 pair of ice skates. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Each soap factory produces 7 bars of soap every hour. If a factory remains operational for 11 hours, how many bars of soap are produced?
DeepSeek Math 7B Base:
Reasoning: Each factory produces 7*11 = <<7*11=77>>77 bars of soap. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Billy has 9 sets of kite with each set containing 3 kites. How many kites does he have in total?
DeepSeek Math 7B Base:
Reasoning: Billy has 9*3 = <<9*3=27>>27 kites in total. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Billy decides to double his collection of kites. After doubling the initial amount, how many kites will he have in total?
DeepSeek Math 7B Base:
Reasoning: Billy has 2*27 = <<2*27=54>>54 kites in total. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Billy initially thought he had 9 sets of kites, but he actually had 11 sets. Given that each set contains 9 kites, how many kites does he really have in total?
DeepSeek Math 7B Base:
Reasoning: Billy has 11*9 = <<11*9=99>>99 kites in total. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a fairy tale, a magical creature multiplies a number by itself and gets an outcome. If the magical creature uses the number 4, what will be the outcome?
DeepSeek Math 7B Base:
Reasoning: 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Continuing the fairy tale, the magical creature took the outcome from her previous spell and multiplied it by 5. What is the new number after this spell?
DeepSeek Math 7B Base:
Reasoning: 16*5 = <<16*5=80>>80. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Continuing the magical story, suppose the magical creature had initially started with the number 11 instead of 4, and had multiplied this number by 4. What would have been the outcome of the first spell in that case?
DeepSeek Math 7B Base:
Reasoning: 11*4 = <<11*4=44>>44. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: There are 27 chairs and they need to be equally distributed among 3 rooms. How many chairs will each room have?
DeepSeek Math 7B Base:
Reasoning: There are 27/3 = <<27/3=9>>9 chairs in each room. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: At first, there were 12 rooms instead of 3 to distribute the 27 chairs into. How many chairs would each room have in this case?
DeepSeek Math 7B Base:
Reasoning: There are 27/12 = <<27/12=2.25>>2.25 chairs in each room. ### Answer: 2.25
Expected answer: 9/4
Correct? Yes
Problem: A store stocks 56 toy cars uniformly over 8 shelves. How many toy cars are there per shelf?
DeepSeek Math 7B Base:
Reasoning: There are 56/8 = <<56/8=7>>7 toy cars per shelf. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Now, imagine if the store decided to stock only one toy car per shelf instead, distributing 8 toy cars uniformly over 8 shelves. How many toy cars would be there per shelf?
DeepSeek Math 7B Base:
Reasoning: There are 8/8 = <<8/8=1>>1 toy cars per shelf. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a restaurant, every pizza slice takes 6 minutes to cook and a full pizza has 3 slices. If the restaurant wants to make 3 full pizzas, how long will it take in total?
DeepSeek Math 7B Base:
Reasoning: A full pizza has 3 slices, so 3 full pizzas have 3*3 = <<3*3=9>>9 slices. It takes 6 minutes to cook a pizza slice, so it takes 6*9 = <<6*9=54>>54 minutes to cook 9 slices. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: In addition to the 3 pizzas, the restaurant also wants to make a special pizza that takes the same amount of time as the 3 pizzas combined. How long will it take to make the special pizza?
DeepSeek Math 7B Base:
Reasoning: It takes 54 minutes to make 3 pizzas, so it takes 54/2 = <<54/2=27>>27 minutes to make a special pizza. ### Answer: 27
Expected answer: 54
Correct? No
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 Math 7B Base:
Reasoning: A full pizza has 3 slices, so 3 full pizzas have 3*3 = <<3*3=9>>9 slices. It takes 1 minute to cook a pizza slice, so it takes 1*9 = <<1*9=9>>9 minutes to cook 9 slices. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Arthur drives his car 7 hours each day for 4 days. How many total hours did Arthur spend driving his car over this period?
DeepSeek Math 7B Base:
Reasoning: Arthur drives 7*4 = <<7*4=28>>28 hours in 4 days. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Considering the previous problem, what if Arthur only drove his car for 2 hours each day for that same 4-day period? How many total hours did Arthur spend driving his car over this period?
DeepSeek Math 7B Base:
Reasoning: Arthur drives 2*4 = <<2*4=8>>8 hours in 4 days. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: If each blanket requires 6 yards of yarn for one section, and each finished blanket is made up of 5 such sections, how many yards of yarn do you need to create one blanket?
DeepSeek Math 7B Base:
Reasoning: Each blanket requires 6*5 = <<6*5=30>>30 yards of yarn. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Following the previous problem, if you were given the task to make two blankets with the same size and design, how many yards of yarn would you need in total?
DeepSeek Math 7B Base:
Reasoning: Each blanket requires 30 yards of yarn. You need 30*2 = <<30*2=60>>60 yards of yarn to make two blankets. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Following the initial problem, consider if each blanket requires six yards of yarn for just one section, but the new design demands that a blanket is made up of 12 such sections. How many yards of yarn would you now need to create one blanket with this new design?
DeepSeek Math 7B Base:
Reasoning: Each blanket requires 6*12 = <<6*12=72>>72 yards of yarn. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A bus travels at a speed of 7 miles per hour. How many miles will the bus travel after 6 hours?
DeepSeek Math 7B Base:
Reasoning: The bus travels 7*6 = <<7*6=42>>42 miles in 6 hours. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Following the previous scenario, consider that the bus was actually traveling at a speed of 10 miles per hour, not 7. How many miles would the bus have travelled after 6 hours in this case?
DeepSeek Math 7B Base:
Reasoning: The bus travels 10*6 = <<10*6=60>>60 miles in 6 hours. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Superhero Starlight has a power level that is the product of multiplying 3 by 5. What is Starlight's power level?
DeepSeek Math 7B Base:
Reasoning: 3*5 = <<3*5=15>>15. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Superhero Starlight, after completing her special power-up training, can now increase her initial power level by three times. If her initial power level was the product of multiplying 3 by 5, what is her new power level after the power-up training?
DeepSeek Math 7B Base:
Reasoning: 3*5 = <<3*5=15>>15. 3*15 = <<3*15=45>>45. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Considering that Superhero Starlight initially had a power level that was the product of multiplying 3 by 5, let's imagine if her initial power level was actually the product of multiplying 3 by 6. What would her initial power level be in this scenario?
DeepSeek Math 7B Base:
Reasoning: 3*6 = <<3*6=18>>18. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Jessica has a backpack that when you measure one side, is 10 inches long. What is the area of one side of Jessica's backpack assuming it is a perfect square?
DeepSeek Math 7B Base:
Reasoning: The area of a square is the length of one side squared. The area of one side of Jessica's backpack is 10*10 = <<10*10=100>>100 square inches. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Now consider that Jessica has another backpack, this one has a side that measures 4 inches. What is the area of one side of this backpack, again assuming it is a perfect square?
DeepSeek Math 7B Base:
Reasoning: The area of a square is the length of one side squared. The area of one side of Jessica's backpack is 4*4 = <<4*4=16>>16 square inches. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Captain Sparrow found 36 gold doubloons. He wants to divide it equally among his 3 crew members. How many gold doubloons will each crew member get?
DeepSeek Math 7B Base:
Reasoning: Captain Sparrow wants to divide 36/3 = <<36/3=12>>12 gold doubloons among his 3 crew members. Each crew member will get 36/3 = <<36/3=12>>12 gold doubloons. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Suppose Captain Sparrow had initially found 36 gold doubloons, but this time he wants to divide them equally among 7 crew members, not 3. How many gold doubloons will each crew member get now?
DeepSeek Math 7B Base:
Reasoning: Captain Sparrow wants to divide 36/7 = <<36/7=5.142857142857143>>5.142857142857143 gold doubloons among his 7 crew members. Each crew member will get 36/7 = <<36/7=5.142857142857143>>5.142857142857143 gold doubloons. ### Answer: 5.142857142857143
Expected answer: 36/7
Correct? Yes
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 Math 7B Base:
Reasoning: The factory will produce 5*2 = <<5*2=10>>10 robots each hour. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous problem, the robot factory increased its output to twice its original amount, making 10 robots each hour. If the factory were to then multiply this new hourly output by the same amount they were originally making each hour (5 robots), how many robots would the factory make every hour?
DeepSeek Math 7B Base:
Reasoning: The factory will produce 10*5 = <<10*5=50>>50 robots each hour. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: In the previous problem, the robot factory was originally making 5 robots each hour. However, if the factory were to increase its output to six times the original amount instead, how many robots would it produce each hour?
DeepSeek Math 7B Base:
Reasoning: The factory will produce 5*6 = <<5*6=30>>30 robots each hour. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: If one bike wheel has a radius of 81 / 9 units, and the height of a certain signpost is 9 times this radius, what is the height of the signpost?
DeepSeek Math 7B Base:
Reasoning: The height of the signpost is 9 times the radius of the bike wheel. The height of the signpost is 9 * 81/9 = <<9*81/9=729/9>>729/9 units. ### Answer: 729/9
Expected answer: 81
Correct? Yes
Problem: If one bike wheel still has a radius of 81/9 units, but now the height of a certain bike rack is only 6 times this radius, what is the height of the bike rack?
DeepSeek Math 7B Base:
Reasoning: The height of the bike rack is 6 times the radius of the bike wheel. The height of the bike rack is 6 * 81/9 = <<6*81/9=486/9>>486/9 units. ### Answer: 486/9
Expected answer: 54
Correct? No
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 Math 7B Base:
Reasoning: Jamie swung 11 times in every minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute
Expected answer: 11
Correct? Yes
Problem: Following on from the previous problem, if Jamie continued swinging at the same pace for 3 more minutes, how many times would he have swung in total over those extra minutes?
DeepSeek Math 7B Base:
Reasoning: Jamie swung 11 times in every minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1 minute. Jamie swung 11 times in 1
Expected answer: 33
Correct? No
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 Math 7B Base:
Reasoning: Jamie swung 6 times in every minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie swung 6 times in 1 minute. Jamie
Expected answer: 6
Correct? Yes
Problem: James has 9 robot toys and he buys the same amount again. How many robot toys does he have now?
DeepSeek Math 7B Base:
Reasoning: James has 9+9 = <<9+9=18>>18 robot toys now. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Let's say instead of initially having 9 robot toys and buying the same amount again, James originally had 9 robot toys, but this time, he decided to buy 5 more sets of 9 toys each. How many robot toys does James have now?
DeepSeek Math 7B Base:
Reasoning: James has 9+5*9 = <<9+5*9=54>>54 robot toys now. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A farmer has 11 chickens and each chicken lays 7 eggs in a week. How many eggs do the chickens lay in total in a week?
DeepSeek Math 7B Base:
Reasoning: 11 chickens lay 11*7 = <<11*7=77>>77 eggs in a week. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: The farmer from the previous problem sells each egg for 1 dollar. How much money does the farmer make in a week by selling all the eggs?
DeepSeek Math 7B Base:
Reasoning: The farmer makes 77*1 = <<77*1=77>>77 dollars in a week. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In the previous problem, if the farmer only had 2 chickens instead of 11, and each chicken still lays 7 eggs in a week, how many eggs would the chickens lay in total in a week?
DeepSeek Math 7B Base:
Reasoning: 2 chickens lay 2*7 = <<2*7=14>>14 eggs in a week. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In an enchanting forest, a certain type of tree grows 4 centimeters each day. If it only grows half of this amount each night, how many centimeters does the tree grow overnight?
DeepSeek Math 7B Base:
Reasoning: The tree grows 4/2 = <<4/2=2>>2 centimeters each night.
Expected answer: 2
Correct? Yes
Problem: The enchanted tree that has been growing in the forest doesn't stop there. Overnight, it grows half of its daily growth rate, which is 4 cm. If this overnight height is multiplied by 10, how long is the final growth of the tree over these 10 nights?
DeepSeek Math 7B Base:
Reasoning: The tree grows 4/2 = <<4/2=2>>2 centimeters each night. The tree grows 2*10 = <<2*10=20>>20 centimeters over 10 nights.
Expected answer: 20
Correct? Yes
Problem: The enchanted tree that was previously growing at an overnight rate of 4 cm changes its growth pattern. Now, it starts to grow at a rate of 10 centimeters each day, but it still grows only half of this amount each night. How many centimeters does the tree now grow overnight?
DeepSeek Math 7B Base:
Reasoning: The tree now grows 10/2 = <<10/2=5>>5 centimeters each night.
Expected answer: 5
Correct? Yes
Problem: In a laboratory experiment, a group of 77 mice are divided equally among 11 cages. How many mice would be in each cage?
DeepSeek Math 7B Base:
Reasoning: 77/11 = <<77/11=7>>7 mice in each cage. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: After having divided the mice among the 11 cages, the scientist realized that she made a mistake and originally there were only 77 mice but some of them were counted twice. After correcting for this mistake, she realized that she actually only had 77 / 2 mice. How many mice did the scientist have originally?
DeepSeek Math 7B Base:
Reasoning: 77/2 = <<77/2=38.5>>38.5 mice. ### Answer: 38.5
Expected answer: 77/2
Correct? Yes
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 Math 7B Base:
Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make each earring. Sally needs 7*8 = <<7*8=56>>56 beads to make 8 earrings. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: Sally realizes that she made a mistake in her calculations for making earrings. Instead of needing 35 beads for a set of earrings, she only needs 35 beads for a display of five earrings. Therefore, she recalculates and finds that to make each earring she only needs to divide this new amount by five. If she wants to make just 2 earrings, how many beads will she need now?
DeepSeek Math 7B Base:
Reasoning: Sally needs 35/5 = <<35/5=7>>7 beads to make each earring. Sally needs 7*2 = <<7*2=14>>14 beads to make 2 earrings. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Brenda has 9 apples and wishes to divide them equally amongst her 9 friends, so each friend receives the same amount. How many apples will each friend get?
DeepSeek Math 7B Base:
Reasoning: Brenda has 9/9 = <<9/9=1>>1 apple for each friend. Each friend will get 1 apple. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a new scenario, Brenda has 9 apples but this time she only wants to divide them evenly among her 2 closest friends. Given this change, how many apples will each friend receive now?
DeepSeek Math 7B Base:
Reasoning: Brenda has 9/2 = <<9/2=4.5>>4.5 apples for each friend. Each friend will get 4.5 apples. ### Answer: 4.5
Expected answer: 9/2
Correct? Yes
Problem: In a circus, a tightrope is set 10 feet off the ground. A stuntman wants to do a daring stunt - he wants to walk from one side of the tightrope to the other. The tightrope is five times the height above the ground. What distance will he need to walk to complete his stunt?
DeepSeek Math 7B Base:
Reasoning: The tightrope is 10 feet off the ground, and it is five times the height above the ground. 10*5 = <<10*5=50>>50 feet is the height of the tightrope. The distance he needs to walk is 2*50 = <<2*50=100>>100 feet. ### Answer: 100
Expected answer: 50
Correct? No
Problem: The length of one side of a square is equal to the result of dividing 30 by 6. What is the total area of the square?
DeepSeek Math 7B Base:
Reasoning: The length of one side of a square is 30/6 = <<30/6=5>>5. The area of the square is 5*5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: The length of one side of a square is equal to the result of dividing 30 by 6. The total area of the square is found by multiplying the length of one side by itself. Now, if we multiply this area by 3, what will be the new value?
DeepSeek Math 7B Base:
Reasoning: The length of one side of a square is 30/6 = <<30/6=5>>5. The area of the square is 5*5 = <<5*5=25>>25. The new value is 25*3 = <<25*3=75>>75. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the original problem, the length of one side of the square was found by dividing 30 by 6. Now consider a new scenario where the length of the square is instead found by dividing number 12 by 6. What would be the total area of this new square?
DeepSeek Math 7B Base:
Reasoning: The length of one side of a square is 12/6 = <<12/6=2>>2. The area of the square is 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A certain star emits 7 particles every second. If this continues for 8 seconds, how many particles does the star emit in total?
DeepSeek Math 7B Base:
Reasoning: The star emits 7*8 = <<7*8=56>>56 particles in 8 seconds. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: If the first star, instead of emitting particles for 8 seconds, only emits particles for 5 seconds, how many particles will then it emit?
DeepSeek Math 7B Base:
Reasoning: The star emits 7*5 = <<7*5=35>>35 particles in 5 seconds. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A shoe factory can create 24 shoes in three hours. If the factory runs for five hours, how many shoes will be produced?
DeepSeek Math 7B Base:
Reasoning: The factory can create 24/3 = <<24/3=8>>8 shoes in one hour. The factory can create 8*5 = <<8*5=40>>40 shoes in five hours. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: The shoe factory increased its production time from five hours to ten hours. Now, how many shoes will the factory produce if it's still able to create 24 shoes every three hours?
DeepSeek Math 7B Base:
Reasoning: The factory can create 24/3 = <<24/3=8>>8 shoes in one hour. The factory can create 8*10 = <<8*10=80>>80 shoes in ten hours. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A unique species of butterfly only lives for 5 days in each month. Considering this fact, how many days total does the butterfly species live in a span of a year, which is 12 months?
DeepSeek Math 7B Base:
Reasoning: The butterfly species lives for 5*12 = <<5*12=60>>60 days in a year. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Considering the same unique species of butterfly, but now in a different region it only lives for 5 days each week instead of per month. How many days total does the butterfly species live in a 7-week span?
DeepSeek Math 7B Base:
Reasoning: The butterfly species lives for 5*7 = <<5*7=35>>35 days in a 7-week span. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: In fairy land, one ordinary mushroom provides food for 10 fairies for a day. If a magic mushroom can provide food as 4 ordinary mushrooms, how many fairies can a magic mushroom feed for a day?
DeepSeek Math 7B Base:
Reasoning: 1 magic mushroom = 4 ordinary mushrooms. 1 ordinary mushroom = 1/4 magic mushroom. 10 fairies = 1 ordinary mushroom. 1 fairy = 1/10 ordinary mushroom. 1 fairy = 1/10 * 1/4 = <<1/10*1/4=1/40>>1/40 magic mushroom. 1 magic mushroom = 1/1/40 = <<1/1/40=40>>40 fairies. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In fairy land, change the original number of fairies an ordinary mushroom can feed from 10 to 11. With this change, how many fairies can a magic mushroom, which can provide food as 4 ordinary mushrooms, feed for a day?
DeepSeek Math 7B Base:
Reasoning: 1 magic mushroom = 4 ordinary mushrooms. 1 ordinary mushroom = 1/4 magic mushroom. 11 fairies = 1 ordinary mushroom. 1 fairy = 1/11 ordinary mushroom. 1 fairy = 1/11 * 1/4 = <<1/11*1/4=1/44>>1/44 magic mushroom. 1 magic mushroom = 1/1/44 = <<1/1/44=44>>44 fairies. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A river is flowing at a rate of 4 kilometers per hour. How far can the river flow in 10 hours?
DeepSeek Math 7B Base:
Reasoning: The river can flow 4*10 = <<4*10=40>>40 kilometers in 10 hours. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: If the speed of the river were instead 4 kilometers per hour for 2 hours, how far would the river flow within these 2 hours?
DeepSeek Math 7B Base:
Reasoning: The river can flow 4*2 = <<4*2=8>>8 kilometers in 2 hours. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A slide is double the height of Ava who is 12 feet tall. How tall is the slide?
DeepSeek Math 7B Base:
Reasoning: The slide is 12*2 = <<12*2=24>>24 feet tall. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Following up on the last problem: If Ava decides to triple the height of the slide that is double her height, how high will the new slide be?
DeepSeek Math 7B Base:
Reasoning: The new slide is 12*2*3 = <<12*2*3=72>>72 feet tall. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: In the previous problem, Ava was initially considering a slide double her height when she was 12 feet tall. However, let's say Ava is actually 11 feet tall. In that case, how high would the slide be if it was still double her height?
DeepSeek Math 7B Base:
Reasoning: The slide is 11*2 = <<11*2=22>>22 feet tall. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: There's a tap which fills a tank at a rate of 2 liters per minute. How much water will be in the tank after 9 minutes?
DeepSeek Math 7B Base:
Reasoning: 2*9 = <<2*9=18>>18 liters of water will be in the tank after 9 minutes. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: What if the tap was turned on for 7 minutes instead of 9 minutes? How much water would the tap fill in the tank in that case?
DeepSeek Math 7B Base:
Reasoning: 2*7 = <<2*7=14>>14 liters of water will be in the tank after 7 minutes. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Fred received 12 letters in one week and he reads them evenly over 3 days. How many letters does he read per day?
DeepSeek Math 7B Base:
Reasoning: Fred reads 12/3 = <<12/3=4>>4 letters per day. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Fred received 11 letters in one week instead of 12. If he still reads them evenly over 3 days, how many letters does he read per day now?
DeepSeek Math 7B Base:
Reasoning: Fred reads 11/3 = <<11/3=3.6666666666666665>>3.6666666666666665 letters per day. ### Answer: 3.6666666666666665
Expected answer: 11/3
Correct? Yes
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 Math 7B Base:
Reasoning: The factory produces 8*12 = <<8*12=96>>96 cars in one day. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: After the shifts mentioned in the previous problem, the toy car factory decides to change its production rate. Now, instead of producing 8 cars per hour as before, it produces 5 cars per hour. If the factory continues to run for 12 hours a day, how many cars will it produce in one day now?
DeepSeek Math 7B Base:
Reasoning: The factory produces 5*12 = <<5*12=60>>60 cars in one day. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: If baby Lily got 44 toys divided evenly among her 4 cousins, each cousin would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?
DeepSeek Math 7B Base:
Reasoning: Each cousin would get 44/4 = <<44/4=11>>11 toys. If we multiply 11 by 5, we get 11*5 = <<11*5=55>>55 toys. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: If instead Baby Lily originally got 44 toys but this time, she divided them evenly among her 11 friends, each friend would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?
DeepSeek Math 7B Base:
Reasoning: Each friend would get 44/11 = <<44/11=4>>4 toys. If we multiply 4 by 5, we get 4*5 = <<4*5=20>>20 toys. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Mike has $9 and he wants to divide it equally among his 3 children. How much money will each child recieve?
DeepSeek Math 7B Base:
Reasoning: Mike will give each child 9/3 = <<9/3=3>>3 dollars. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If each of Mike's children decided to save the money they received from their father every month for a year, how much money would each child have saved by the end of the year?
DeepSeek Math 7B Base:
Reasoning: Each child would have saved 3*12 = <<3*12=36>>36 dollars by the end of the year. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: If Mike had $11 instead of $9 and he still decided to divide it equally among his 3 children, how much money would each child receive now?
DeepSeek Math 7B Base:
Reasoning: Mike will give each child 11/3 = <<11/3=3.6666666666666665>>3.6666666666666665 dollars. ### Answer: 3.6666666666666665
Expected answer: 11/3
Correct? Yes
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 Math 7B Base:
Reasoning: 72/12 = <<72/12=6>>6 liters of milk per day. 6*12 = <<6*12=72>>72 liters of milk in 12 days. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: If instead the cow produced 72 liters of milk in 10 days, and you still wanted to find out how much milk it would produce in 12 days, how much would that be?
DeepSeek Math 7B Base:
Reasoning: 72/10 = <<72/10=7.2>>7.2 liters of milk per day. 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
Problem: On a map, 30 miles is represented as 10 inches. How many miles does 1 inch represent?
DeepSeek Math 7B Base:
Reasoning: 30/10 = <<30/10=3>>3 miles is represented as 10 inches. 1/10 = <<1/10=0.1>>0.1 miles is represented as 1 inch. ### Answer: 0.1
Expected answer: 3
Correct? No
Problem: A truck has 8 tires. If each tire can carry a load of 8 tons, how much total load can the truck carry when all tires are fully loaded?
DeepSeek Math 7B Base:
Reasoning: The truck can carry 8*8 = <<8*8=64>>64 tons of load. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: If the truck with all the tires fully loaded is carrying cargo weighing the same as the total load the tires can handle, what would be the total weight being carried by the truck?
DeepSeek Math 7B Base:
Reasoning: The total weight being carried by the truck is 64 tons. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the previous scenario, each tire was capable of carrying a load of 8 tons. But what if each tire was only capable of carrying a load of 3 tons? How much total load could the truck carry then when all tires are fully loaded?
DeepSeek Math 7B Base:
Reasoning: The truck can carry 8*3 = <<8*3=24>>24 tons of load. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: If you have 4 fruits and each fruit provides 1 cup of juice, how many cups of juice can you get in total?
DeepSeek Math 7B Base:
Reasoning: 4*1 = <<4*1=4>>4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If instead you started with just 1 fruit, how many cups of juice would you be able to make?
DeepSeek Math 7B Base:
Reasoning: 1*1 = <<1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Sara has a box of colored pencils, and she has 5 colors. If she has 5 of each type, how many colored pencils does Sara have in total?
DeepSeek Math 7B Base:
Reasoning: Sara has 5*5 = <<5*5=25>>25 colored pencils. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Sara decided to duplicate her complete set of colored pencils and she bought exactly the same amount as she had. Now, how many colored pencils does Sara have in total?
DeepSeek Math 7B Base:
Reasoning: Sara has 2*25 = <<2*25=50>>50 colored pencils. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Sara suddenly realized that she had miscalculated; she actually has 11 of each type of colored pencil, not 5. With this correction, how many colored pencils does Sara really have?
DeepSeek Math 7B Base:
Reasoning: Sara has 11*5 = <<11*5=55>>55 colored pencils. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In a word, each letter corresponds to a point in a game. If you have a 12-letter word, how many points will you get if each letter corresponds to 1 point in the game?
DeepSeek Math 7B Base:
Reasoning: If each letter corresponds to 1 point, then 12 letters will correspond to 12 points. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: You have decided to play 8 rounds of the same game. If you continue to use the same 12-letter word in each round, how many points will you accumulate in total from all the rounds?
DeepSeek Math 7B Base:
Reasoning: If you use the same 12-letter word in each round, then you will get 12 points in each round. You will accumulate 12*8 = <<12*8=96>>96 points in total from all the rounds. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: You decide to change your strategy in the next game and instead use a 9-letter word. If each letter still corresponds to 1 point, how many points will you get in this game?
DeepSeek Math 7B Base:
Reasoning: If each letter corresponds to 1 point, then 9 letters will correspond to 9 points. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Jake has 7 crates, each containing 7 bottles of water. How many bottles of water does he have in total?
DeepSeek Math 7B Base:
Reasoning: Jake has 7*7 = <<7*7=49>>49 bottles of water. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Jake decided to not drink any of the water just yet and stored all the bottles in his garage. After leaving the bottles in the garage untouched, how many bottles does Jake still have?
DeepSeek Math 7B Base:
Reasoning: Jake still has 49 bottles of water. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A piano has 4 legs. If there are 2 pianos in the music room, how many legs are there in total?
DeepSeek Math 7B Base:
Reasoning: There are 4*2 = <<4*2=8>>8 legs in 2 pianos. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Considering from the previous question, what if each piano only had 3 legs instead of 4. With 2 pianos in the music room, how many legs would there be in total?
DeepSeek Math 7B Base:
Reasoning: There are 3*2 = <<3*2=6>>6 legs in 2 pianos. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A keyring holds 2 keys but each keyring must be split between two people. How many keys does each person get?
DeepSeek Math 7B Base:
Reasoning: Each person gets 2/2 = <<2/2=1>>1 key. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Following the previous scenario, if there are 11 keyrings in total, how many keys does each person get?
DeepSeek Math 7B Base:
Reasoning: Each person gets 2/2 = <<2/2=1>>1 key. ### Answer: 1
Expected answer: 11
Correct? No
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 Math 7B Base:
Reasoning: Each person gets 3/2 = <<3/2=1.5>>1.5 keys. ### Answer: 1.5
Expected answer: 3/2
Correct? Yes
Problem: Javier has 9 crates of bottles. Each crate contains 6 bottles, how many bottles does Javier have?
DeepSeek Math 7B Base:
Reasoning: Javier has 9*6 = <<9*6=54>>54 bottles. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Javier decided to pack more bottles into his crates. Now, each crate contains 8 bottles instead of 6. How many bottles does Javier have now with his 9 crates?
DeepSeek Math 7B Base:
Reasoning: Javier has 9*8 = <<9*8=72>>72 bottles now. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A shirt costs 10 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros?
DeepSeek Math 7B Base:
Reasoning: 10 dollars = 10 euros. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Following the previous question: if the exchange rate changes and now 1 euro equals 1 dollar, how much will the shirt cost in dollars now?
DeepSeek Math 7B Base:
Reasoning: 10 euros = 10 dollars. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: After the price changes, the shirt now costs 9 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros now?
DeepSeek Math 7B Base:
Reasoning: 9 dollars = 9 euros. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: If a plant grows 12 flowers each month, how many flowers will it grow in 5 months?
DeepSeek Math 7B Base:
Reasoning: A plant grows 12*5 = <<12*5=60>>60 flowers in 5 months. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: A beach ball is being blown up to be twice the size of its original size of 3 feet in diameter. What will be the diameter of the beach ball after it is blown up?
DeepSeek Math 7B Base:
Reasoning: The beach ball will be 2*3 = <<2*3=6>>6 feet in diameter after it is blown up. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Suppose the original size of the beach ball was actually 5 feet in diameter, not 3 feet as previously stated. If it is still being blown up to be twice its original size, what will be the diameter of the beach ball after it is blown up now?
DeepSeek Math 7B Base:
Reasoning: The beach ball will be 2*5 = <<2*5=10>>10 feet in diameter after it is blown up. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A farmer has a total of 24 tomatoes. He wants to equally divide them into 4 boxes. How many tomatoes will there be in each box?
DeepSeek Math 7B Base:
Reasoning: There will be 24/4 = <<24/4=6>>6 tomatoes in each box. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: The farmer then decides to combine all the tomatoes from the 4 boxes back into one large container. How many tomatoes will there be in the large container?
DeepSeek Math 7B Base:
Reasoning: There will be 24+6 = <<24+6=30>>30 tomatoes in the large container. ### Answer: 30
Expected answer: 24
Correct? No
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 Math 7B Base:
Reasoning: There would have been 24/2 = <<24/2=12>>12 tomatoes in each box. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John wants to go out playing with his scooter. He travels a certain distance "B" which he calculates as half of 16. When he gets tired, he multiplies the distance "B" he traveled with 6 to find out the total distance "X" he traveled back and forth in his playing area. What is the total distance "X" he traveled?
DeepSeek Math 7B Base:
Reasoning: John travels 16/2 = <<16/2=8>>8 miles in one direction. John travels 8*6 = <<8*6=48>>48 miles in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In the previous situation, John multiplied the distance he traveled with 6. But this time, he decides to ride his scooter for a bit longer. Instead of multiplying by 6, he now multiplies the same initial half of 16, distance "B", by 8 to find out the new total distance "X" he traveled back and forth. What is the new total distance "X" he traveled?
DeepSeek Math 7B Base:
Reasoning: John travels 16/2 = <<16/2=8>>8 miles in one direction. John travels 8*8 = <<8*8=64>>64 miles in total. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Lisa has a favorite TV show that she likes to watch, which happens to be 8 minutes long per episode. If Lisa decides to watch 2 episodes back-to-back without any breaks, how long will she be watching her favorite TV show in total?
DeepSeek Math 7B Base:
Reasoning: Lisa will be watching 2*8 = <<2*8=16>>16 minutes of her favorite TV show in total. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Now, imagine Lisa spent 5 days over the course of a week doing the same routine of watching 2 episodes back-to-back of her favorite TV show, which is 8 minutes per episode. How long in total did she spend watching her TV show over those 5 days?
DeepSeek Math 7B Base:
Reasoning: Lisa will be watching 2*8*5 = <<2*8*5=80>>80 minutes of her favorite TV show in total. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: In a twist, one day Lisa decided to watch a different TV show, which is 12 minutes long per episode. If she watches 2 episodes of this show back-to-back without any breaks, how long will she be watching this different TV show in total?
DeepSeek Math 7B Base:
Reasoning: Lisa will be watching 2*12 = <<2*12=24>>24 minutes of this different TV show in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Jane has 1 blanket and John has 3 times as many blankets as Jane. How many blankets does John have?
DeepSeek Math 7B Base:
Reasoning: John has 3*1 = <<3*1=3>>3 blankets. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Consider the starting point of the previous problem where Jane had 1 blanket and John had 3 times as many blankets as Jane. Now, suppose that Jane initially has 6 blankets instead of 1. In this new scenario, how many blankets does John have initially?
DeepSeek Math 7B Base:
Reasoning: John has 3*6 = <<3*6=18>>18 blankets. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has $28 which he wants to divide equally among his 7 children. How many dollars will each child receive?
DeepSeek Math 7B Base:
Reasoning: John will give each child 28/7 = <<28/7=4>>4 dollars. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If John originally had $10 instead of $28, and he still wanted to divide it equally among his 7 children, how much would each child receive now?
DeepSeek Math 7B Base:
Reasoning: John will give each child 10/7 = <<10/7=1.4285714285714285>>1.4285714285714285 dollars. ### Answer: 1.4285714285714285
Expected answer: 10/7
Correct? Yes
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 Math 7B Base:
Reasoning: The tailor uses 2*5 = <<2*5=10>>10 meters of fabric for the shirts. The tailor uses 2*2*5 = <<2*2*5=20>>20 meters of fabric for the shirts' lining. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Kate owns a scooter shop. She sells 1 scooter every day. How many scooters will she sell after 8 days?
DeepSeek Math 7B Base:
Reasoning: Kate will sell 1*8 = <<1*8=8>>8 scooters after 8 days. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Continuing from the previous situation, after selling 1 scooter a day for 8 days, Kate decides to hold a grand sale for 8 more days where she sells the same number of scooters she sold in the previous 8 days every day. How many additional scooters will she sell during this grand sale?
DeepSeek Math 7B Base:
Reasoning: Kate will sell 1*8 = <<1*8=8>>8 scooters every day for 8 days. Kate will sell 8*8 = <<8*8=64>>64 additional scooters during this grand sale. ### Answer: 64
Expected answer: 64
Correct? Yes
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 Math 7B Base:
Reasoning: Kate will sell 7*8 = <<7*8=56>>56 scooters after 8 days. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In a forest, one tree produces 10 seeds each year. How many seeds does the tree produce in 1 year?
DeepSeek Math 7B Base:
Reasoning: 1 tree produces 10 seeds each year. 1 tree produces 10 seeds in 1 year. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Now imagine that the tree actually produces 12 seeds each year instead of 10. How many seeds does the tree produce in 1 year?
DeepSeek Math 7B Base:
Reasoning: 1 tree produces 12 seeds each year. 1 tree produces 12 seeds in 1 year. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: The sun shines 12 hours in a day and a scientist wants to divide it into 6 equal parts for an experiment. How many hours are there in each part?
DeepSeek Math 7B Base:
Reasoning: The sun shines 12/6 = <<12/6=2>>2 hours in each part. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A group of 12 friends decided to split into smaller groups to play a board game. If they want to have exactly 3 friends in each group, how many groups will there be?
DeepSeek Math 7B Base:
Reasoning: There are 12/3 = <<12/3=4>>4 groups of 3 friends. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following the same scenario where the friends were divided into groups, if each group decided to buy 7 pizzas, how many pizzas would be bought in total?
DeepSeek Math 7B Base:
Reasoning: There are 12/3 = <<12/3=4>>4 groups of 3 friends. 4 groups of 7 pizzas is 4*7 = <<4*7=28>>28 pizzas. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Continuing from our previous scenario, let's say that instead of having 12 friends, there were actually only 6 friends to begin with. If they still want to divide themselves into groups with 3 friends each, how many group will there be?
DeepSeek Math 7B Base:
Reasoning: There are 6/3 = <<6/3=2>>2 groups of 3 friends. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Emma and her friends are building sandcastles on the beach. Each sandcastle uses 6 buckets of sand, and they build 4 sandcastles. Each bucket of sand has 3 shovels full of sand in it. How many shovels of sand do they use in total?
DeepSeek Math 7B Base:
Reasoning: Each sandcastle uses 6*3 = <<6*3=18>>18 shovels of sand. They use 4*18 = <<4*18=72>>72 shovels of sand in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous situation, Emma and her friends decide to make their sandcastles stronger. They pour a layer of seawater on each shovel used in their sandcastles. If each shovel full of sand requires 1 bottle of seawater, how many bottles of seawater will they need in total?
DeepSeek Math 7B Base:
Reasoning: They use 72 shovels of sand in total. They need 72 bottles of seawater in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Following the previous situation with Emma and her friends building sandcastles, imagine that they had originally started with 5 sandcastles instead of 6. Each of these 5 sandcastles still uses 4 buckets of sand and each of these buckets contains 3 shovels of sand. How many shovels of sand would they have used then?
DeepSeek Math 7B Base:
Reasoning: Each sandcastle uses 4*3 = <<4*3=12>>12 shovels of sand. They use 5*12 = <<5*12=60>>60 shovels of sand in total. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Jenna is making bracelets for her friends. Each bracelet requires 12 beads and she has a total of 8 bracelets to make. How many beads will Jenna need in total?
DeepSeek Math 7B Base:
Reasoning: Each bracelet requires 12 beads. Jenna has 8 bracelets to make. 8*12 = <<8*12=96>>96 beads in total. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: After reconsidering, Jenna decided to only make 7 bracelets instead of 8. Now, how many beads will Jenna need to make the bracelets?
DeepSeek Math 7B Base:
Reasoning: Each bracelet requires 12 beads. Jenna has 7 bracelets to make. 7*12 = <<7*12=84>>84 beads in total. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: Penny has 66 milliliters of toothpaste in a new tube. If she uses 11 milliliters for each brushing, how many times can she brush her teeth with the new tube of toothpaste?
DeepSeek Math 7B Base:
Reasoning: Penny can brush her teeth <<66/11=6>>6 times with the new tube of toothpaste. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: If Penny started using 9 milliliters of toothpaste for each brushing instead of 11, how many times could she brush her teeth with the new tube of toothpaste?
DeepSeek Math 7B Base:
Reasoning: Penny can brush her teeth <<66/9=7.333333333333333>>7.333333333333333 times with the new tube of toothpaste. ### Answer: 7.333333333333333
Expected answer: 22/3
Correct? Yes
Problem: Vanessa has 4 bunches of grapes and each bunch has 11 grapes. How many grapes does Vanessa have in total?
DeepSeek Math 7B Base:
Reasoning: Vanessa has 4*11 = <<4*11=44>>44 grapes in total. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: If Vanessa only had 4 bunches of grapes and each bunch had 5 grapes instead of 11, how many grapes would Vanessa have in total then?
DeepSeek Math 7B Base:
Reasoning: Vanessa has 4*5 = <<4*5=20>>20 grapes in total. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Mary has a length of fabric measuring 6 yards. She needs 6 yards of fabric to make a skirt. How many skirts can she make with the fabric she has?
DeepSeek Math 7B Base:
Reasoning: Mary can make 6/6 = <<6/6=1>>1 skirt. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mary used her 6 yards of fabric to make a skirt. Each skirt she makes, requires 6 yards of fabric. She decides to make as many skirts as skirts she already made (i.e., she wants to multiply the number of skirts by the number of skirts she already made). How many skirts will Mary have made in total?
DeepSeek Math 7B Base:
Reasoning: Mary can make 6/6 = <<6/6=1>>1 skirt. Mary can make 1*1 = <<1*1=1>>1 skirt. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Mary now has a new length of fabric that's 7 yards long. Keeping in mind that each skirt requires 6 yards of fabric, how many skirts can Mary make with the new fabric she has?
DeepSeek Math 7B Base:
Reasoning: Mary can make 7/6 = <<7/6=1.1666666666666667>>1.1666666666666667 skirts. ### Answer: 1.1666666666666667
Expected answer: 7/6
Correct? Yes
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 Math 7B Base:
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
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 Math 7B Base:
Reasoning: Jordan has 18*2 = <<18*2=36>>36 cards. If he doubles the total number of his cards, he will have 36*2 = <<36*2=72>>72 cards. ### Answer: 72
Expected answer: 36
Correct? No
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 Math 7B Base:
Reasoning: Jordan has 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
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 Math 7B Base:
Reasoning: The wizard's staff can only channel the spell for 60/6 = <<60/6=10>>10 minutes. Each period of the spell is 10/6 = <<10/6=1.6666666666666667>>1.6666666666666667 minutes. ### Answer: 1.6666666666666667
Expected answer: 10
Correct? No
Problem: A drummer hits his drum 11 times per minute. How many times does he hit the drum in 8 minutes?
DeepSeek Math 7B Base:
Reasoning: A drummer hits his drum 11 times per minute. A drummer hits his drum 11*8 = <<11*8=88>>88 times in 8 minutes. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: In the previous problem, the drummer was hitting his drum 11 times per minute. But what if his rhythm slows down and he now hits the drum only 2 times per minute. How many times will he hit the drum in 8 minutes then?
DeepSeek Math 7B Base:
Reasoning: A drummer hits his drum 2 times per minute. A drummer hits his drum 2*8 = <<2*8=16>>16 times in 8 minutes. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: John is packing for a trip and realizes that for each pair of pants, he needs 2 pairs of socks. If he plans to bring 22 pairs of socks, how many pairs of pants should he pack?
DeepSeek Math 7B Base:
Reasoning: John needs 22/2 = <<22/2=11>>11 pairs of pants. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Now, John is reconsidering his packing strategy. Instead of packing two pairs of socks per pair of pants, he thinks he only needs to pack two socks for every pair of pants. If he sticks to this new strategy, how many pairs of pants should he pack for his 4 pairs of socks?
DeepSeek Math 7B Base:
Reasoning: John needs 4/2 = <<4/2=2>>2 pairs of pants. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: If a pack of pens contains 8 pens and John has 5 packs, how many pens does he have in total?
DeepSeek Math 7B Base:
Reasoning: John has 5*8 = <<5*8=40>>40 pens in total. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: If, instead of 8 pens per pack, there were 6 pens per pack, how many pens would John have in total with his 5 packs?
DeepSeek Math 7B Base:
Reasoning: John has 5*6 = <<5*6=30>>30 pens in total. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Captain Blackbeard's pirate ship sailed for 60 hours and he divided the total hours equally among the 6 shifts. If each guard is expected to protect the ship for one shift, how many hours will one guard have to protect the ship?
DeepSeek Math 7B Base:
Reasoning: Captain Blackbeard's pirate ship sailed for 60/6 = <<60/6=10>>10 hours per shift. One guard will have to protect the ship for 10 hours. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Suppose there are more guards available and Captain Blackbeard decided to split the total time into 12 shifts instead of 6. How many hours will each guard now have to protect the ship under this new arrangement?
DeepSeek Math 7B Base:
Reasoning: Captain Blackbeard's pirate ship sailed for 60/12 = <<60/12=5>>5 hours per shift. Each guard will have to protect the ship for 5 hours. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: John needs a rope. Every meter of the rope costs $5. If John needs a 6-meter long rope, how much will it cost him?
DeepSeek Math 7B Base:
Reasoning: John needs 6 meters of rope. Each meter of rope costs $5. 6*5 = <<6*5=30>>30. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Going further from the previous problem, John now realizes he needs twice as much rope! How much will it cost him to buy 12 meters of rope in all?
DeepSeek Math 7B Base:
Reasoning: John needs 12 meters of rope. Each meter of rope costs $5. 12*5 = <<12*5=60>>60. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After considering his needs again, John realized that he actually needs 7 meters of rope, not 6. How much will it cost him to buy this new length of rope?
DeepSeek Math 7B Base:
Reasoning: John needs 7 meters of rope. Each meter of rope costs $5. 7*5 = <<7*5=35>>35. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: Amelia has 42 gifts to distribute equally among her 7 best friends. How many gifts will each friend receive?
DeepSeek Math 7B Base:
Reasoning: Amelia has 42/7 = <<42/7=6>>6 gifts for each friend. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In the previous scenario, Amelia was distributing gifts among 7 of her friends. But what if Amelia instead planned to distribute her 42 gifts equally among only 6 friends instead? How many gifts would each friend receive in this case?
DeepSeek Math 7B Base:
Reasoning: Amelia has 42/6 = <<42/6=7>>7 gifts for each friend. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A mother bear has 40 honey pots and she wants to evenly distribute them among her 8 cubs. How many honey pots will each cub receive?
DeepSeek Math 7B Base:
Reasoning: Each cub will receive 40/8 = <<40/8=5>>5 honey pots. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: If the mother bear had only 40 honey pots and wanted to evenly distribute them among her 10 cubs instead, how many honey pots would each cub receive now?
DeepSeek Math 7B Base:
Reasoning: Each cub will receive 40/10 = <<40/10=4>>4 honey pots. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A penguin is diving into the sea. Initially, it took the penguin 28 seconds to reach a depth that is 4 times its own height. What is the square of the depth the penguin reaches in seconds?
DeepSeek Math 7B Base:
Reasoning: The penguin's height is 28/4 = <<28/4=7>>7 feet. The penguin reaches a depth of 4*7 = <<4*7=28>>28 feet. The square of the depth is 28*28 = <<28*28=784>>784. ### Answer: 784
Expected answer: 49
Correct? No
Problem: A swing goes back and forth 10 times every minute. How many back and forth swings will the swing accomplish in 9 minutes?
DeepSeek Math 7B Base:
Reasoning: A swing goes back and forth 10 times every minute. A swing goes back and forth 10*9 = <<10*9=90>>90 times in 9 minutes. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: An elephant can eat 7kg food per hour. How much food will an elephant eat in 4 hours?
DeepSeek Math 7B Base:
Reasoning: An elephant can eat 7*4 = <<7*4=28>>28kg food in 4 hours. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: In the previous situation, what if instead of eating 4kg of food per hour, the elephant ate only 3kg of food per hour? How much food would the elephant eat in 4 hours then?
DeepSeek Math 7B Base:
Reasoning: The elephant would eat 3*4 = <<3*4=12>>12kg of food in 4 hours. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A dragon has 3 heads and each head has 8 eyes. How many eyes does the dragon have in total?
DeepSeek Math 7B Base:
Reasoning: A dragon has 3*8 = <<3*8=24>>24 eyes. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In addition to the 3-headed dragon, another dragon of the same kind joins it. Between the two dragons, how many eyes are there in total?
DeepSeek Math 7B Base:
Reasoning: The two dragons have 24+24 = <<24+24=48>>48 eyes. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Suppose that each dragon instead had 11 eyes per head, not 8. How many eyes would one three-headed dragon have then?
DeepSeek Math 7B Base:
Reasoning: A dragon has 3*11 = <<3*11=33>>33 eyes. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: A candle burns out at a rate of 2 hours per inch. If a candle is 3 inches tall, how long will it take for the candle to burn out completely?
DeepSeek Math 7B Base:
Reasoning: A candle burns out at a rate of 2 hours per inch. If a candle is 3 inches tall, it will take 2*3 = <<2*3=6>>6 hours for the candle to burn out completely. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Charlie has 4 chocolates and decides to share half of them with his sister. Then he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now?
DeepSeek Math 7B Base:
Reasoning: Charlie has 4/2 = <<4/2=2>>2 chocolates after sharing with his sister. Charlie has 2*2 = <<2*2=4>>4 chocolates after doubling the amount. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following from the last problem, Charlie then takes the amount of chocolates he has and decides to multiply it by 9 for a birthday party. How many chocolates does Charlie have now?
DeepSeek Math 7B Base:
Reasoning: Charlie has 4*9 = <<4*9=36>>36 chocolates after multiplying the amount by 9. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Following from the previous problems, let's consider a new scenario. This time, suppose Charlie only had 2 chocolates and again decided to share half of them with his sister. Then, he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now in this scenario?
DeepSeek Math 7B Base:
Reasoning: Charlie has 2/2 = <<2/2=1>>1 chocolate after sharing with his sister. Charlie has 1*2 = <<1*2=2>>2 chocolates after doubling the amount. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A castle has 36 towers and there are an equal number of towers on each of its 6 walls. How many towers are there on each wall?
DeepSeek Math 7B Base:
Reasoning: There are 36/6 = <<36/6=6>>6 towers on each wall. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Suppose the number of walls in the castle was incorrectly counted before, and there are actually 10 walls instead of 6. If the castle still has a total of 36 towers, how many towers would be on each wall in that case?
DeepSeek Math 7B Base:
Reasoning: There are 36/10 = <<36/10=3.6>>3.6 towers on each wall. ### Answer: 3.6
Expected answer: 18/5
Correct? Yes