Problem: Determine the product when you multiply the fraction 8/9 by the fraction 19/3. Please provide your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators together and the denominators together.
So, the product of 8/9 and 19/3 is (8*19)/(9*3) = 152/27.
The fraction 152/27 is already simplified, so the answer is 152/27.
### Answer: 152/27

Expected answer: 152/27

Correct? Yes

Problem: Julian is cutting sections of rope for a project. Each section is 13/2 feet long. He is only able to use 5/7 of each section. How many feet are in the usable part of each section of rope? Calculate this by multiplying 13/2 by 5/7.

DeepSeek 67B:

Reasoning:
To find the length of the usable part of each section of rope, we need to multiply the length of each section by the fraction of the section that Julian can use.

The length of each section is 13/2 feet.
The fraction of each section that Julian can use is 5/7.

To find the length of the usable part of each section, we multiply 13/2 by 5/7:

(13/2) * (5/7) = 65/14

So, the usable part of each section of rope is 65/14 feet.

### Answer: 65/14

Expected answer: 65/14

Correct? Yes

Problem: What is the result when you multiply the whole number 12 by 1?

DeepSeek 67B:

Reasoning:
12 * 1 = 12
The result of multiplying 12 by 1 is 12.
### Answer: 12

Expected answer: 12

Correct? Yes

Problem: Find the answer of the given math problem: 14 / 15 * 12 / 4, performing the multiplication operation on fractions and whole numbers. Provide your answer as a simplified fraction or, if possible, as a whole number.

DeepSeek 67B:

To solve the given math problem, we will first perform the multiplication operation on the fractions and then multiply the result by the whole number.

Step 1: Multiply the fractions
14 / 15 * 12 / 4 = (14 * 12) / (15 * 4) = 168 / 60

Step 2: Simplify the fraction
168 / 60 = 84 / 30 = 28 / 10 = 14 / 5

Step 3: Multiply the simplified fraction by the whole number
14 / 5 * 14 = 196 / 5

Step 4: Simplify the fraction
196 / 5 = 39.2

The answer is 39.2.

Expected answer: 14/5

Correct? No

Problem: Compute the value for the following expression: 15 * (5 / 17). Write your answer as a decimal rounded to the nearest hundredth.

DeepSeek 67B:

15 * (5 / 17) = 15 * 0.29411764705882354 = 4.411764705882354
Rounded to the nearest hundredth, the answer is 4.41.

Expected answer: 75/17

Correct? No

Problem: Find the result of the following calculation: 16 * (12 / 19)

DeepSeek 67B:

Reasoning:
First, we need to perform the division operation inside the parentheses: 12 / 19 = 0.631578947368421.
Then, we multiply 16 by the result of the division: 16 * 0.631578947368421 = 10.10530315773787.

Answer: 10.10530315773787

Expected answer: 192/19

Correct? No

Problem: If a farmer has 10/17 of a barrel of apples and he decides to multiply that amount by 18/5 barrels, how many barrels of apples will he have in total? Calculate your answer keeping it as a simplified fraction.

DeepSeek 67B:

Reasoning:
To find the total number of barrels of apples, we need to multiply the fraction representing the initial amount of apples by the fraction representing the multiplication.

Initial amount of apples = 10/17
Multiplication factor = 18/5

Total amount of apples = (10/17) * (18/5)

Calculating the multiplication:

Total amount of apples = (10 * 18) / (17 * 5)
Total amount of apples = 180 / 85

Simplifying the fraction:

Total amount of apples = 36 / 17

So, the farmer will have 36/17 barrels of apples in total.

Expected answer: 36/17

Correct? Yes

Problem: Simplify the expression: (20 / 4) * (1 / 5). What is the result?

DeepSeek 67B:

Reasoning:
First, we need to simplify the expression by performing the division operation:

(20 / 4) * (1 / 5) = 5 * (1 / 5)

Now, we can multiply the two numbers:

5 * (1 / 5) = 5 / 5

Finally, we can simplify the fraction:

5 / 5 = 1

So, the result of the expression is 1.

Expected answer: 1

Correct? Yes

Problem: Julia has 11 boxes and she decides to fill 8/11 of each box with apples. If each box can hold up to 1 bushel of apples, how many bushels of apples did she use in total?

DeepSeek 67B:

Reasoning:
Julia has 11 boxes and she fills 8/11 of each box with apples.
So, she fills 8/11 * 11 = <<8/11*11=8>>8 boxes with apples.
Since each box can hold up to 1 bushel of apples, Julia used 8 bushels of apples in total.
### Answer: 8

Expected answer: 8

Correct? Yes

Problem: In a bakery, a baker uses 9/4 cups of sugar for a cake and 16/15 cups for a batch of cookies. If he needs the equal amount of sugar for the cake and the cookies, how much sugar in cups will he use in total? Calculate it by multiplying the two fractions.

DeepSeek 67B:

Reasoning:
The baker needs the equal amount of sugar for the cake and the cookies, so he will use 9/4 cups of sugar for the cake and 9/4 cups of sugar for the cookies.
To find out how much sugar he will use in total, we need to add the two fractions:
9/4 + 9/4 = 18/4 = 4.5 cups of sugar.
### Answer: 4.5

Expected answer: 12/5

Correct? No

Problem: If Peter was making home-made pizza and he needed 19/9 cups of flour and 14/18 cups of sugar for his pizza dough, how many cups of ingredients in total did he need? Multiply the amounts of flour and sugar together to find the total.

DeepSeek 67B:

Reasoning:
To find the total amount of ingredients Peter needed, we need to multiply the amounts of flour and sugar together.

First, let's convert the fractions to a common denominator. The least common multiple of 9 and 18 is 18.

19/9 = 38/18
14/18 = 14/18

Now, we can multiply the amounts together:

(38/18) * (14/18) = 532/324

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 132.

532/324 = 4/2

So, Peter needed a total of 4 cups of ingredients for his pizza dough.

Expected answer: 133/81

Correct? No

Problem: What is the result when you multiply the fractions 14/7 and 16/4?

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
So, 14/7 * 16/4 = (14*16)/(7*4) = 224/28
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
So, 224/28 = (224/4)/(28/4) = 56/7
Therefore, the result of multiplying the fractions 14/7 and 16/4 is 56/7.
### Answer: 56/7

Expected answer: 8

Correct? Yes

Problem: Calculate the result of (17 / 18) multiplied by (13 / 8). Write the answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
(17 / 18) * (13 / 8) = (17 * 13) / (18 * 8) = 221 / 144
The fraction 221 / 144 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 221 and 144 is 1.
So, the simplified fraction is 221 / 144.
The answer is: 221/144

Expected answer: 221/144

Correct? Yes

Problem: Evaluate the following expression: ((15 / 15) * 18) and write your answer.

DeepSeek 67B:

Reasoning:
The expression ((15 / 15) * 18) can be simplified step by step.

First, we perform the division: 15 / 15 = 1.

Then, we multiply the result by 18: 1 * 18 = 18.

So, the value of the expression ((15 / 15) * 18) is 18.

Expected answer: 18

Correct? Yes

Problem: A group of 18 students is planning a pizza party. If each student will eat 17/20 of a pizza, how many pizzas should they order?

DeepSeek 67B:

Reasoning:
Each student will eat 17/20 of a pizza, so the total amount of pizza needed for all students is 18 * 17/20 = 153/20.
To find the number of pizzas needed, we need to divide the total amount of pizza needed by the amount of pizza in one pizza, which is 1.
So, 153/20 / 1 = 153/20.
Since we cannot order a fraction of a pizza, we need to round up to the nearest whole number.
Therefore, they should order 8 pizzas.
### Answer: 8

Expected answer: 153/10

Correct? No

Problem: Sophie picked 9 pounds of apples. She decided to make apple pies for a community gathering, and each pie requires about 1/14 of the total apples she picked. Sophie made 7 pies. How many pounds of apples did she use in total? Calculate it using the multiplication of fraction and a whole number, specifically ((9 / 14) * 7). Write your answer as a simplified fraction or a whole number.

DeepSeek 67B:

Reasoning:
To find out how many pounds of apples Sophie used in total, we need to multiply the amount of apples used per pie by the number of pies she made.

Each pie requires 1/14 of the total apples she picked, which is 9 pounds. So, the amount of apples used per pie is (1/14) * 9 = 9/14 pounds.

Sophie made 7 pies, so the total amount of apples used is (9/14) * 7 = 63/14 pounds.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 7.

So, 63/14 simplifies to 9/2 pounds.

Therefore, Sophie used 9/2 pounds of apples in total.

### Answer: 9/2

Expected answer: 9/2

Correct? Yes

Problem: John bought 2 boxes of cookies with 6/8 of a dozen cookies in each box. How many dozens of cookies did John buy in total?

DeepSeek 67B:

Reasoning:
John bought 2 boxes of cookies with 6/8 of a dozen cookies in each box.
To find out how many dozens of cookies John bought in total, we need to multiply the number of boxes by the number of dozens in each box.
The number of dozens in each box is 6/8, so we need to multiply 2 by 6/8.
2 * 6/8 = 12/8 = 1.5 dozens.
Therefore, John bought 1.5 dozens of cookies in total.
### Answer: 1.5

Expected answer: 3/2

Correct? Yes

Problem: Tom has a box that could potentially hold 6 gallons of paint. However, due to the design of the box, it can only be filled up to 16/17 of its capacity. How many gallons of paint can Tom actually store in the box?

DeepSeek 67B:

Reasoning:
The box can hold 6 gallons of paint, but due to its design, it can only be filled up to 16/17 of its capacity.
To find out how many gallons of paint Tom can actually store in the box, we need to multiply the capacity of the box by the fraction of its capacity that can be filled.
So, 6 gallons * 16/17 = <<6*16/17=5.88185791015625>>5.88 gallons.
Tom can actually store 5.88 gallons of paint in the box.
### Answer: 5.88

Expected answer: 96/17

Correct? No

Problem: If Mary has 14 marbles and she gives away 4/10 of them, how many marbles does Mary give away?

DeepSeek 67B:

Reasoning: Mary gives away 4/10*14 = <<4/10*14=5.6>>5.6 marbles.
Since Mary cannot give away a fraction of a marble, she gives away 5 marbles.
### Answer: 5

Expected answer: 28/5

Correct? No

Problem: Calculate the product of 19/6 and 4/4. Write the resulting answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To calculate the product of two fractions, we multiply the numerators and multiply the denominators.

19/6 * 4/4 = (19 * 4) / (6 * 4) = 76/24

Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 76 and 24 is 4.

76/4 = 19
24/4 = 6

So, the simplified fraction is 19/6.

### Answer: 19/6

Expected answer: 19/6

Correct? Yes

Problem: What is the result when you divide 16 by 8 and then multiply the result by 10?

DeepSeek 67B:

Reasoning:
16 divided by 8 is 2.
2 multiplied by 10 is 20.
The result is 20.
### Answer: 20

Expected answer: 20

Correct? Yes

Problem: What is the product when 18 is multiplied by 1/11? Please provide your answer as a decimal or a simplified fraction.

DeepSeek 67B:

Reasoning:
18 * 1/11 = 18/11 = 1.6363636363636363
The answer is 1.6363636363636363

Expected answer: 18/11

Correct? No

Problem: Mary has a garden with apple trees. Each tree produces 3 bushels of apples, and she has 6 trees in total. However, due to pests, only half of her trees produce apples this year. How many bushels of apples does Mary harvest from her garden this year?

DeepSeek 67B:

Reasoning: Mary has 6/2 = <<6/2=3>>3 trees that produce apples this year.
Mary harvests 3*3 = <<3*3=9>>9 bushels of apples from her garden this year.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Calculate the result of the following problem: (13 / 10) * (14 / 11). Please write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To solve the problem, we need to multiply the numerators and denominators separately.

Numerator: 13 * 14 = 182
Denominator: 10 * 11 = 110

So, the result is 182/110.

To simplify the fraction, we need to find the greatest common divisor (GCD) of 182 and 110. The GCD of 182 and 110 is 22.

Divide both the numerator and the denominator by the GCD:

182 � 22 = 8.272727272727273
110 � 22 = 5

So, the simplified fraction is 8/5.

### Answer: 8/5

Expected answer: 91/55

Correct? No

Problem: James bought 20 very thin fabrics. Each piece of fabric has 2/19 meters of thread. How many meters of thread are there in total in 20 pieces of fabric? Calculate it by multiplying 2/19 by 20.

DeepSeek 67B:

Reasoning:
To find the total amount of thread in 20 pieces of fabric, we need to multiply the amount of thread in one piece by the number of pieces.

The amount of thread in one piece is 2/19 meters.
The number of pieces is 20.

So, the total amount of thread is (2/19) * 20.

Calculating the product:
(2/19) * 20 = 40/19

Therefore, there are 40/19 meters of thread in total in 20 pieces of fabric.

### Answer: 40/19

Expected answer: 40/19

Correct? Yes

Problem: What is the result of 1 times 16?

DeepSeek 67B:

Reasoning:
1 * 16 = 16
The result of 1 times 16 is 16.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Calculate the result of the following math problem: (18 / 12) * 6. Write your answer as a simplified fraction or a whole number.

DeepSeek 67B:

Reasoning:
First, we need to divide 18 by 12:
18 � 12 = 1.5
Then, we multiply the result by 6:
1.5 * 6 = 9
So, the result of the math problem is 9.

Expected answer: 9

Correct? Yes

Problem: Here's a math problem about multiplying fractions and whole numbers: Johnny has 8 friends. He promised to give each of his friends 13/8 pounds of candy. How many pounds of candy will Johnny need in total?

DeepSeek 67B:

Reasoning:
To find the total amount of candy Johnny needs, we need to multiply the number of friends by the amount of candy each friend will receive.

Johnny has 8 friends, and each friend will receive 13/8 pounds of candy.

So, the total amount of candy Johnny needs is 8 * 13/8 = 104/8 = 13 pounds.

### Answer: 13

Expected answer: 13

Correct? Yes

Problem: Mathew was cutting up some square blocks for a craft project. Each block was 16/18th of a foot long. Mathew needed 16/7th of a foot long blocks for his project. If he uses all the blocks, how long in feet would the blocks be in total? Solve this by using multiplication of fractions.

DeepSeek 67B:

Reasoning:
To find the total length of the blocks, we need to multiply the length of each block by the number of blocks Mathew used.

Let's first find the number of blocks Mathew used. Since he needed 16/7th of a foot long blocks, and each block was 16/18th of a foot long, we can set up the following equation:

(16/18) * x = (16/7)

To solve for x, we can multiply both sides of the equation by the reciprocal of 16/18, which is 18/16:

x = (16/7) * (18/16)

x = 27/7

So, Mathew used 27/7 blocks.

Now, let's find the total length of the blocks. We can multiply the length of each block (16/18) by the number of blocks (27/7):

Total length = (16/18) * (27/7)

Total length = 432/126

Total length = 12/3

Total length = 4

So, the blocks would be 4 feet long in total.

### Answer: 4

Expected answer: 128/63

Correct? No

Problem: What is the result when you multiply the fraction 8/8 by 15?

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we simply multiply the numerator of the fraction by the whole number and keep the denominator the same.

So, 8/8 * 15 = (8 * 15) / 8 = 120 / 8 = 15

The result is 15.

Expected answer: 15

Correct? Yes

Problem: A recipe for apple pie requires 10 apples. However, you only have two thirds of the amount needed. How many apples do you have if you multiply 10 apples by 4/6?

DeepSeek 67B:

Reasoning: If you have two thirds of the amount needed, you can multiply the number of apples required by 2/3.
So, you have 10 * 2/3 = <<10*2/3=6.666666666666666>>6.666666666666666 apples.
### Answer: 6.666666666666666

Expected answer: 20/3

Correct? No

Problem: What is the product when you multiply the fraction 18/12 by the whole number 11?

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we can multiply the numerator of the fraction by the whole number and keep the denominator the same.
So, 18/12 * 11 = (18 * 11) / 12 = 198 / 12
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 6.
So, 198 / 12 = (198 / 6) / (12 / 6) = 33 / 2
Therefore, the product of 18/12 and 11 is 33/2.
### Answer: 33/2

Expected answer: 33/2

Correct? Yes

Problem: In a pizza shop, the mushroom pizza, which is very popular, usually sells out in just 9/20 of an hour. The pizza chef can make 16 pizzas in just one hour. How many mushroom pizzas can the chef make before they sell out?

DeepSeek 67B:

Reasoning:
The chef can make 16 pizzas in 1 hour, so in 9/20 of an hour, the chef can make 16 * (9/20) = <<16*(9/20)=7.2>>7.2 pizzas.
Since the chef can only make whole pizzas, the chef can make 7 mushroom pizzas before they sell out.
### Answer: 7

Expected answer: 36/5

Correct? No

Problem: A baker wants to bake enough cakes for a large party. Each cake requires 5/12 of a kilogram of flour. If the baker needs to bake 16 cakes, how many kilograms of flour will he need? Use the formula s = (16 * (5 / 12)) to calculate the answer.

DeepSeek 67B:

Reasoning:
The baker needs to bake 16 cakes, and each cake requires 5/12 of a kilogram of flour. To find out how much flour is needed in total, we can use the formula:

s = (16 * (5 / 12))

where s represents the total amount of flour needed in kilograms.

Calculating the answer:

s = (16 * (5 / 12)) = 6.67 kilograms

The baker will need 6.67 kilograms of flour to bake 16 cakes.

Expected answer: 20/3

Correct? No

Problem: Determine the result of the following calculation: multiply 13 by 3/12. Remember to write your answer as a fraction or a decimal number.

DeepSeek 67B:

Reasoning:
To multiply 13 by 3/12, we can first convert 13 to a fraction with a denominator of 12. Since 13 is already a whole number, we can write it as 13/1. Then, we can multiply the numerators and denominators separately.

13/1 * 3/12 = (13 * 3) / (1 * 12) = 39/12

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

39/12 = (39/3) / (12/3) = 13/4

So, the result of the calculation is 13/4.
### Answer: 13/4

Expected answer: 13/4

Correct? Yes

Problem: Find the product when 8 is multiplied by 1. Show your work and provide your answer.

DeepSeek 67B:

8 * 1 = 8

Expected answer: 8

Correct? Yes

Problem: What is the result when you multiply 9 by the fraction 9/17?

DeepSeek 67B:

Reasoning:
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and put the product over the denominator.
So, 9 * (9/17) = 81/17.
### Answer: 81/17

Expected answer: 81/17

Correct? Yes

Problem: Tom is planning to share his 13 boxes with his friends. He has decided each of them will get 12/13 of a box. How many boxes, in total, will Tom's friends receive?

DeepSeek 67B:

Reasoning:
Tom has 13 boxes and he wants to share them with his friends.
Each friend will receive 12/13 of a box.
To find out how many boxes Tom's friends will receive in total, we need to multiply the number of friends by the fraction of a box each friend will receive.
Let's assume Tom has x friends.
So, the total number of boxes Tom's friends will receive is (12/13) * x.
To find the value of x, we need to know the total number of boxes Tom has, which is 13.
So, (12/13) * x = 13.
To solve for x, we can multiply both sides of the equation by the reciprocal of (12/13), which is (13/12).
(13/12) * (12/13) * x = (13/12) * 13.
x = 13 * (13/12).
x = 169/12.
Since we can't have a fraction of a friend, we need to round x to the nearest whole number.
x = 14.
So, Tom has 14 friends.
To find out how many boxes Tom's friends will receive in total, we can multiply the number of friends by the fraction of a box each friend will receive.
(12/13) * 14 = 168/13.
So, Tom's friends will receive 168/13 boxes in total.
### Answer: 168/13

Expected answer: 12

Correct? No

Problem: What is the product of multiplying 16 and 1?

DeepSeek 67B:

Reasoning:
The product of multiplying 16 and 1 is 16 because any number multiplied by 1 is itself.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Multiply 10 by the fraction 11/10. What is the result?

DeepSeek 67B:

Reasoning:
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and put the result over the denominator.
So, 10 * 11/10 = 110/10 = 11.
The result is 11.
### Answer: 11

Expected answer: 11

Correct? Yes

Problem: Calculate the product of 10 and the fraction 8/14. Write your answer as a simplified fraction or a decimal.

DeepSeek 67B:

Reasoning:
To calculate the product of 10 and the fraction 8/14, we can multiply the numerators and denominators separately.

10 * 8/14 = (10 * 8) / 14 = 80/14

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

The GCD of 80 and 14 is 2.

80/2 = 40
14/2 = 7

So, the simplified fraction is 40/7.

Alternatively, we can convert the fraction to a decimal by dividing the numerator by the denominator.

40 � 7 = 5.714285714285714

So, the product of 10 and the fraction 8/14 is either 40/7 or 5.714285714285714 as a decimal.

### Answer: 40/7 or 5.714285714285714

Expected answer: 40/7

Correct? Yes

Problem: John has a pile of 20 assignment papers to grade. However, he has only managed to grade 8/18 of the pile. How many papers has John graded?

DeepSeek 67B:

Reasoning: John has graded 8/18*20 = <<8/18*20=8>>8 papers.
### Answer: 8

Expected answer: 80/9

Correct? No

Problem: Calculate the result of multiplying 16 by the fraction 13/12.

DeepSeek 67B:

Reasoning:
To multiply a whole number by a fraction, we can multiply the whole number by the numerator of the fraction and put the result over the denominator.
So, 16 * (13/12) = (16 * 13) / 12 = 208 / 12.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
So, 208 / 12 = (208 / 4) / (12 / 4) = 52 / 3.
Therefore, the result of multiplying 16 by the fraction 13/12 is 52/3.
### Answer: 52/3

Expected answer: 52/3

Correct? Yes

Problem: Maddison is dividing a piece of wood to build a bird house. The piece of wood is initially 16 units long. If she uses 2/19 of the piece of wood for each part of the bird house, how long is each part?

DeepSeek 67B:

Reasoning:
Maddison uses 2/19 of the piece of wood for each part of the bird house.
The length of each part is 16 * 2/19 = <<16*2/19=1.631578947368421>>1.631578947368421 units.
### Answer: 1.631578947368421

Expected answer: 32/19

Correct? No

Problem: What is the result of multiplying the fraction twelve divided by twelve with the whole number sixteen?

DeepSeek 67B:

Reasoning:
Twelve divided by twelve is equal to 1.
So, the problem becomes 1 * 16.
The result is 16.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: Albert plans to make miniature models for his project and needs certain amount of material. He knows that he needs 8/7th of a pound of clay per model and he wants to create 17/3rd models. Calculate amount of clay in pounds he will need. What is it when the fractions are multiplied?

DeepSeek 67B:

Reasoning:
Albert needs 8/7th of a pound of clay per model and he wants to create 17/3rd models.
To find out how much clay he will need, we need to multiply the amount of clay per model by the number of models.
So, the amount of clay needed is (8/7) * (17/3).

To multiply fractions, we multiply the numerators and multiply the denominators.
So, (8/7) * (17/3) = (8 * 17) / (7 * 3) = 136 / 21.

Therefore, Albert will need 136/21 pounds of clay for his project.

When the fractions are multiplied, the result is 136/21.

Expected answer: 136/21

Correct? Yes

Problem: Mrs. Parker makes her famous apple pie using 14/12 hours for preparing and baking. If she decides to make 2 pies, how many total hours will she spend? Please calculate and express your answer as a mixed number.

DeepSeek 67B:

Reasoning:
Mrs. Parker spends 14/12 hours to make one pie.
To find out how many hours she will spend making 2 pies, we need to multiply the time for one pie by 2.
14/12 * 2 = 28/12 = 2 2/3 hours
So, Mrs. Parker will spend 2 2/3 hours making 2 pies.
### Answer: 2 2/3

Expected answer: 7/3

Correct? No

Problem: Evaluate the following expression and write your answer as a simplified fraction: (18/11) * (17/8)

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators together and the denominators together.
So, (18/11) * (17/8) = (18 * 17) / (11 * 8) = 306 / 88.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 306 and 88 is 22.
So, 306 / 22 = 14 and 88 / 22 = 4.
Therefore, (18/11) * (17/8) = 14/4 = 7/2.
The answer is: \frac{7}{2}

Expected answer: 153/44

Correct? No

Problem: You are eating healthy and have decided to only eat half of an apple. Each apple costs $2. How much would you essentially be paying for half an apple?

DeepSeek 67B:

Reasoning:
If you are eating half of an apple, you would essentially be paying for half of the cost of the apple.
The cost of half an apple would be $2/2 = $1.
### Answer: $1

Expected answer: 1

Correct? Yes

Problem: What is the product when you multiply 1 by 8?

DeepSeek 67B:

Reasoning:
The product of 1 and 8 is 8 because any number multiplied by 1 is itself.
### Answer: 8

Expected answer: 8

Correct? Yes

Problem: If a recipe calls for 5 cups of flour, but you are only using a scoop that is 14/16 the size of a cup, how many scoops do you need to have 5 whole cups of flour? Calculate it using the formula: p = 5 * (14 / 16)

DeepSeek 67B:

Reasoning:
To find out how many scoops are needed to have 5 cups of flour, we can use the formula:

p = 5 * (14 / 16)

where p is the number of scoops needed.

Calculating the formula:

p = 5 * (14 / 16)
p = 5 * 0.875
p = 4.375

Since we can't have a fraction of a scoop, we need to round up to the nearest whole number.

So, we need 5 scoops to have 5 cups of flour.

Expected answer: 35/8

Correct? No

Problem: William has a recipe that requires 9/10 of a cup of sugar. However, he wants to triple the recipe. How many cups of sugar will William need? Follow the operation ((9 / 10) * 3) to answer the question.

DeepSeek 67B:

Reasoning:
To find out how many cups of sugar William will need, we need to multiply the original amount of sugar by 3.

The original amount of sugar is 9/10 of a cup.

So, we need to perform the operation ((9 / 10) * 3).

First, let's simplify the expression:

(9 / 10) * 3 = 27 / 10

Now, let's convert the fraction to a mixed number:

27 / 10 = 2 7/10

So, William will need 2 7/10 cups of sugar.

### Answer: 2 7/10

Expected answer: 27/10

Correct? Yes

Problem: Compute the following operation: multiply 9 by 5/14. Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To multiply a whole number by a fraction, we can multiply the whole number by the numerator of the fraction and place the result over the denominator.

So, 9 * (5/14) = (9 * 5) / 14 = 45 / 14.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 45 and 14 is 1.

So, 45 / 14 cannot be simplified further.

Therefore, the answer is 45/14.
The answer is: \frac{45}{14}

Expected answer: 45/14

Correct? Yes

Problem: Michael wants to adjust a recipe that originally serves 16 servings to only serve 12 servings. He found a new vineyard that produces a type of grape juice that is 15/6 more concentrated than the one he originally uses. How much of the new grape juice should he use in comparison to the old recipe, if he calculates it as (12/16) * (15/6)?

DeepSeek 67B:

Reasoning:
Michael wants to adjust the recipe to serve 12 servings instead of 16. This means he needs to use 12/16 = 3/4 of the original recipe.
The new grape juice is 15/6 more concentrated than the original grape juice. This means he needs to use 1 + 15/6 = 11/6 of the original amount of grape juice.
To find out how much of the new grape juice he should use, we multiply the fraction of the original recipe he needs by the fraction of the original amount of grape juice he needs: (3/4) * (11/6) = 33/24 = 11/8.
So, Michael should use 11/8 of the new grape juice in comparison to the old recipe.
### Answer: 11/8

Expected answer: 15/8

Correct? No

Problem: If a baker uses 9 cups of flour for a cake recipe and each cup of flour weighs 19/19 pounds, how many pounds of flour does the baker use for the cake?

DeepSeek 67B:

Reasoning: The baker uses 9 cups of flour for the cake recipe.
Each cup of flour weighs 19/19 pounds.
To find the total weight of the flour used, we multiply the number of cups by the weight per cup.
9 cups * 19/19 pounds/cup = 9 pounds
The baker uses 9 pounds of flour for the cake.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: A baker needs 5 times the amount of sugar required in one recipe. If one recipe needs 9/4 cups of sugar, how much sugar does the baker need in cups? Do the multiplication and state your answer as a fraction in simplest form.

DeepSeek 67B:

Reasoning:
The baker needs 5 times the amount of sugar required in one recipe, which is 9/4 cups.
To find the total amount of sugar needed, we multiply 9/4 by 5.

Calculation:
(9/4) * 5 = 45/4

The baker needs 45/4 cups of sugar.

Expected answer: 45/4

Correct? Yes

Problem: Julia is baking a cake that requires 12/8 cups of flour. However, she only needs to make 9/13 of the recipe. How much flour does she need for the portion of the recipe she is making?

DeepSeek 67B:

Reasoning:
Julia needs to make 9/13 of the recipe, so she needs 9/13 * 12/8 = <<9/13*12/8=1.08>>1.08 cups of flour.
### Answer: 1.08

Expected answer: 27/26

Correct? No

Problem: Calculate the following expression: 9 * (20/11). Write the answer as a mixed number.

DeepSeek 67B:

Reasoning:
First, we need to divide 20 by 11 to get the decimal part of the mixed number.
20 � 11 = 1.8181818181818182
Next, we multiply 9 by the decimal part to get the whole number part of the mixed number.
9 * 1.8181818181818182 = 16.363636363636364
Finally, we write the answer as a mixed number.
16 3/5
### Answer: 16 3/5

Expected answer: 180/11

Correct? No

Problem: Solve the following problem: Divide 20 by 5 and then multiply the result by the fraction 6/10. Write down your answer.

DeepSeek 67B:

Reasoning:
First, we need to divide 20 by 5.
20 � 5 = 4

Next, we need to multiply the result by the fraction 6/10.
4 × 6/10 = 24/10

Finally, we simplify the fraction 24/10.
24/10 = 12/5

Answer: 12/5

Expected answer: 12/5

Correct? Yes

Problem: In a school where there are 17 classrooms and each classroom has a bin for paper recycling, 5/14 of the total classrooms forgot to recycle their papers during a specific day. What fraction of the total classrooms didn't recycle their papers?

DeepSeek 67B:

Reasoning:
The fraction of classrooms that didn't recycle their papers is 1 - the fraction of classrooms that did recycle their papers.
The fraction of classrooms that did recycle their papers is 1 - 5/14 = 9/14.
Therefore, the fraction of classrooms that didn't recycle their papers is 1 - 9/14 = 5/14.
### Answer: 5/14

Expected answer: 85/14

Correct? No

Problem: Calculate the answer to the following problem: what is (19 / 11) * (13 / 17)? Write your answer as a simplified fraction.

DeepSeek 67B:

To calculate the answer, we multiply the numerators and denominators separately:

Numerator: 19 * 13 = 247
Denominator: 11 * 17 = 187

So, the answer is 247/187. To simplify this fraction, we find the greatest common divisor (GCD) of 247 and 187, which is 1. Therefore, the simplified fraction is 247/187.

Expected answer: 247/187

Correct? Yes

Problem: Samantha has a rope that is 9 feet long. She uses 3/11 of the rope to secure a tent. How long is the piece of rope that Samantha uses?

DeepSeek 67B:

Reasoning:
Samantha uses 3/11 of the rope, which is equal to 3/11 * 9 = <<3/11*9=2.7>>2.7 feet.
### Answer: 2.7

Expected answer: 27/11

Correct? No

Problem: What is the result of the multiplication when 1 is multiplied by 7?

DeepSeek 67B:

Reasoning: 1 multiplied by 7 is 7.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: Find the product of the following calculation: 1 times 9.

DeepSeek 67B:

Reasoning:
The product of 1 times 9 is 9.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Calculate the product of the fraction (18 / 18) and the fraction (11 / 5). Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
So, the product of (18 / 18) and (11 / 5) is (18 * 11) / (18 * 5) = 198 / 90.
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 18.
So, the simplified fraction is 11 / 5.
### Answer: 11 / 5

Expected answer: 11/5

Correct? Yes

Problem: Calculate the answer for the following equation: (5 / 16) * 13. Please express your answer as a decimal.

DeepSeek 67B:

Reasoning:
To calculate the answer for the equation (5 / 16) * 13, we first need to divide 5 by 16 and then multiply the result by 13.

5 / 16 = 0.3125

Now, we multiply 0.3125 by 13:

0.3125 * 13 = 4.0625

So, the answer to the equation (5 / 16) * 13 is 4.0625.

Expected answer: 65/16

Correct? Yes

Problem: Find the result of the following calculation: Multiply the fraction 4/5 by the whole number 15. Write your answer in simplest form.

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we can treat the whole number as a fraction with a denominator of 1. So, we can rewrite 15 as 15/1.

Now, we can multiply the numerators and denominators separately:

(4/5) * (15/1) = (4 * 15) / (5 * 1) = 60/5

Simplifying the fraction, we get:

60/5 = 12

So, the result of the calculation is 12.

Expected answer: 12

Correct? Yes

Problem: What will be the result if you multiply the fraction 20/12 by the fraction 19/16?

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
So, 20/12 * 19/16 = (20*19)/(12*16) = 380/192.
### Answer: 380/192

Expected answer: 95/48

Correct? Yes

Problem: Calculate the result of the following multiplication operation: 17/20 * 17/13. Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
So, 17/20 * 17/13 = (17*17)/(20*13) = 289/260.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 289 and 260 is 1.
So, the simplified fraction is 289/260.
### Answer: 289/260

Expected answer: 289/260

Correct? Yes

Problem: Solve the following problem: 5 * (13 / 12) and give your answer in the form of a mixed number or fraction where necessary.

DeepSeek 67B:

To solve the problem, we need to perform the multiplication and division operations in the given order.

First, we perform the division: 13 � 12 = 1 R 1

Next, we multiply the result by 5: 5 * (1 R 1) = 5 * 1 + 5 * 1 = 5 + 5 = 10

Therefore, the answer is 10.

Expected answer: 65/12

Correct? No

Problem: Jack had a full bar of chocolate. If he ate 3/4 of it and each piece of the bar represented 1/4, how many pieces did he eat?

DeepSeek 67B:

Reasoning:
If Jack ate 3/4 of the chocolate bar, then he ate 3/4 * 4 = <<3/4*4=3>>3 pieces.
### Answer: 3

Expected answer: 3

Correct? Yes

Problem: Calculate the product of 17 and 9/18 without simplifying the fraction. What is the result?

DeepSeek 67B:

Reasoning:
To calculate the product of 17 and 9/18, we can multiply 17 by the numerator (9) and the denominator (18) separately.

17 * 9 = 153
17 * 18 = 306

Now, we can add the two results together:

153 + 306 = 459

So, the product of 17 and 9/18 is 459.

Expected answer: 17/2

Correct? No

Problem: Calculate the result of multiplying the fraction 15/15 by the whole number 19. Leave your answer as a simplified fraction or whole number, as appropriate.

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we can treat the whole number as a fraction with a denominator of 1. So, 19 can be written as 19/1.

Now, we can multiply the numerators and denominators separately:

(15/15) * (19/1) = (15 * 19) / (15 * 1) = 285/15

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 285 and 15 is 15.

285/15 = (285/15) / (15/15) = 19

So, the result of multiplying the fraction 15/15 by the whole number 19 is 19.

Expected answer: 19

Correct? Yes

Problem: Mary has 16 apples. She shares 3/5 of them with her friends. How many apples does Mary share with her friends?

DeepSeek 67B:

Reasoning: Mary shares 3/5*16 = <<3/5*16=9.6>>9.6 apples with her friends.
Since we can't have a fraction of an apple, Mary shares 9 apples with her friends.
### Answer: 9

Expected answer: 48/5

Correct? No

Problem: What is the product when you divide 12 by 3 and then multiply the result by 3?

DeepSeek 67B:

Reasoning:
When you divide 12 by 3, you get 4.
Then, when you multiply 4 by 3, you get 12.
So, the product is 12.
### Answer: 12

Expected answer: 12

Correct? Yes

Problem: If each box of chocolates contains 12 pieces and each piece is split into 8 equal parts for tasting, how many whole pieces of chocolate are there if there are 6 boxes? Use the equation t = (6 * (12 / 8)) to calculate your answer.

DeepSeek 67B:

Reasoning:
The equation t = (6 * (12 / 8)) represents the total number of whole pieces of chocolate, t, that can be obtained from 6 boxes of chocolates, where each box contains 12 pieces and each piece is split into 8 equal parts for tasting.

Let's calculate the value of t:

t = (6 * (12 / 8))
t = (6 * 1.5)
t = 9

There are 9 whole pieces of chocolate in total.
### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Emily uses 10/19th of her weekly allowance on Monday. On Tuesday, she spends an equivalent amount which is 14/7 times more compared to what she spent on Monday. How much of her weekly allowance did she spend on Tuesday? Calculate: (10 / 19) * (14 / 7)

DeepSeek 67B:

Reasoning:
To find out how much of her weekly allowance Emily spent on Tuesday, we need to multiply the amount she spent on Monday by 14/7.

Calculation:
(10 / 19) * (14 / 7) = 140 / 133

Emily spent 140/133 of her weekly allowance on Tuesday.

Expected answer: 20/19

Correct? Yes

Problem: What is the product of 2 and 2?

DeepSeek 67B:

The product of 2 and 2 is 4.

Expected answer: 4

Correct? Yes

Problem: You have 11 boxes of cookies. Each box has 8/5 dozen cookies in it. How many dozens of cookies do you have in total?

DeepSeek 67B:

Reasoning:
There are 12 cookies in a dozen.
So, each box has 8/5 * 12 = <<8/5*12=19.2>>19.2 cookies.
Therefore, there are 11 * 19.2 = <<11*19.2=211.2>>211.2 cookies in total.
Since there are 12 cookies in a dozen, there are 211.2 / 12 = <<211.2/12=17.6>>17.6 dozens of cookies in total.
### Answer: 17.6

Expected answer: 88/5

Correct? Yes

Problem: Compute the result of the following operation: multiply the fraction 6/18 by the whole number 3. Write your answer in its simplest form.

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we can multiply the whole number by the numerator of the fraction and keep the denominator the same.

So, 6/18 * 3 = (6 * 3) / 18 = 18/18

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 18 and 18 is 18.

18/18 = 1

So, the result of the operation is 1.

Expected answer: 1

Correct? Yes

Problem: Lucy had 18 candies which she evenly distributed into 8 bags, she then gave 5 bags to her friends. How many candies does she give away in total? Use the formula (18 / 8) * 5 to find the answer.

DeepSeek 67B:

Reasoning:
Lucy had 18 candies which she evenly distributed into 8 bags, so each bag had 18/8 = <<18/8=2.25>>2.25 candies.
She then gave 5 bags to her friends, so she gave away 5 * 2.25 = <<5*2.25=11.25>>11.25 candies in total.
### Answer: 11.25

Expected answer: 45/4

Correct? Yes

Problem: Calculate the following multiplication of a whole number and a fraction. What is the result of 5 * (14 / 10)?

DeepSeek 67B:

Reasoning:
To multiply a whole number and a fraction, we multiply the whole number by the numerator of the fraction and put the result over the denominator.
So, 5 * (14 / 10) = (5 * 14) / 10 = 70 / 10 = 7.
The result of 5 * (14 / 10) is 7.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: What is the result of multiplying 6 by the fraction (20/7)? Write your answer as a mixed number, if applicable.

DeepSeek 67B:

Reasoning:
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and place the result over the denominator.

6 * (20/7) = (6 * 20) / 7 = 120 / 7

Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 7.

120 / 7 = 17 R 1

So, the result is a mixed number: 17 1/7.

### Answer: 17 1/7

Expected answer: 120/7

Correct? Yes

Problem: Calculate: What is the product of 8/19 times 6? Give your answer as a simplified fraction or a whole number, if possible.

DeepSeek 67B:

Reasoning:
To find the product of 8/19 times 6, we can multiply the numerators and denominators separately.

8/19 * 6 = (8 * 6) / (19 * 1) = 48/19

The fraction 48/19 cannot be simplified further, so the answer is 48/19.
### Answer: 48/19

Expected answer: 48/19

Correct? Yes

Problem: Calculate the answer to the following problem. What is the result of multiplying 8 by 1/1?

DeepSeek 67B:

Reasoning:
The multiplication of 8 by 1/1 can be calculated as follows:

8 * (1/1) = 8

So, the result of multiplying 8 by 1/1 is 8.

Expected answer: 8

Correct? Yes

Problem: Jack has a long sheet of paper that he wants to use for his art project. The sheet has a length of 5/15 meters. If Jack cuts 9 identical pieces from the sheet, what would be the total length of all the 9 pieces? Calculate the answer and write it as a fraction or a whole number.

DeepSeek 67B:

Reasoning:
If Jack cuts 9 identical pieces from the sheet, each piece would have a length of 5/15 / 9 = 1/9 meters.
The total length of all the 9 pieces would be 9 * 1/9 = 1 meter.
### Answer: 1

Expected answer: 3

Correct? No

Problem: Suppose the length of a book is 1 foot, and there are 13 books side by side on a shelf. How long is the shelf in feet? To find out, calculate the product of 1 and 13.

DeepSeek 67B:

Reasoning: The length of the shelf is the product of the length of one book and the number of books on the shelf.
The length of the shelf is 1*13 = <<1*13=13>>13 feet.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: Calculate the product when you multiply the fraction 6/5 by the whole number 1. Write your answer as a simplified fraction or whole number.

DeepSeek 67B:

Reasoning:
To multiply a fraction by a whole number, we can treat the whole number as a fraction with a denominator of 1. So, 1 can be written as 1/1.

Now, we can multiply the numerators and denominators separately:

(6/5) * (1/1) = (6*1) / (5*1) = 6/5

So, the product of 6/5 and 1 is 6/5.

### Answer: 6/5

Expected answer: 6/5

Correct? Yes

Problem: Solve the following problem: Recognize that 5/5 is the same as 1, then multiply that result by 17/6. Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
5/5 is the same as 1, so we can rewrite the problem as 1 * 17/6.
Multiplying 1 by any number gives the same number, so the result is 17/6.
The answer is: 17/6

Expected answer: 17/6

Correct? Yes

Problem: What is the result of multiplying 8 by the result of 8 divided by 6?

DeepSeek 67B:

Reasoning:
8 divided by 6 is 1.3333333333333333.
Multiplying 8 by 1.3333333333333333 gives 10.666666666666666.
### Answer: 10.666666666666666

Expected answer: 32/3

Correct? Yes

Problem: Susan bought 9 apples. She used 15/16 of those apples to make a big apple pie for her family. What fraction of the total apples did Susan use?

DeepSeek 67B:

Reasoning:
Susan used 15/16 of the apples to make a pie.
The total number of apples is 9.
To find the fraction of the total apples used, we need to divide the number of apples used by the total number of apples.
So, the fraction of the total apples used is 15/16 � 9.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 9 is 1/9.
So, the fraction of the total apples used is (15/16) × (1/9).
Multiplying the numerators and denominators, we get (15 × 1) / (16 × 9).
Simplifying, we get 15/144.
Therefore, Susan used 15/144 of the total apples.
### Answer: 15/144

Expected answer: 135/16

Correct? No

Problem: In a class, 10 out of 14 students participated in a school project. Each of those students prepared 8 models for the science fair. Calculate the total number of models prepared for the science fair by multiplying the fraction of students who participated (10/14) with the number of models each student made (8).

DeepSeek 67B:

Reasoning:
The fraction of students who participated in the project is 10/14.
Each student prepared 8 models for the science fair.
To find the total number of models prepared, we need to multiply the fraction of students who participated by the number of models each student made.

Calculation:
Total number of models = (10/14) * 8
Total number of models = 50/7
Total number of models = 7.14 (rounded to two decimal places)

Answer: The total number of models prepared for the science fair is 7.14.

Expected answer: 40/7

Correct? No

Problem: What is the product of the fraction 3/3 and the mixed number 13/4? Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to convert the mixed number 13/4 to an improper fraction. To do this, we multiply the whole number part (13) by the denominator (4) and add the numerator (1). So, 13/4 = 53/4.

Now, we can multiply the two fractions:

(3/3) * (53/4) = (3 * 53) / (3 * 4) = 159/12

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 159 and 12 is 3.

159/3 = 53
12/3 = 4

So, the simplified product of the fractions is 53/4.

### Answer: 53/4

Expected answer: 13/4

Correct? No

Problem: Calculate the result of multiplying thirteen by the ratio of two to two.

DeepSeek 67B:

Reasoning: The ratio of two to two is 2/2, which simplifies to 1.
Multiplying thirteen by one gives us 13.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: Calculate the value of the expression 17/6 * 6/4. Write your answer in the simplest form.

DeepSeek 67B:

Reasoning:
We can simplify the expression by canceling out common factors in the numerator and denominator.

17/6 * 6/4 = (17 * 6) / (6 * 4) = 102 / 24

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6.

102 / 24 = (102 / 6) / (24 / 6) = 17 / 4

So, the simplified value of the expression is 17/4.

### Answer: 17/4

Expected answer: 17/4

Correct? Yes

Problem: Find the product of 2 and 6.

DeepSeek 67B:

Reasoning:
The product of 2 and 6 is 2*6 = 12.
### Answer: 12

Expected answer: 12

Correct? Yes

Problem: Calculate the answer to the following problem: (2 / 20) * 14. Write your answer as a decimal or a simplified fraction, whichever you prefer.

DeepSeek 67B:

Reasoning:
First, we simplify the fraction 2/20 to 1/10.
Then, we multiply 1/10 by 14.
1/10 * 14 = 14/10 = 1.4

Answer: 1.4

Expected answer: 7/5

Correct? Yes

Problem: What is the result when 5/14 of a whole is multiplied by 18?

DeepSeek 67B:

Reasoning:
To find 5/14 of a whole, we multiply 14 by 5 and divide by 14.
5/14 of a whole is 5/14 * 14 = 5.
Now, we multiply 5 by 18 to get the result.
5 * 18 = 90.
The answer is 90

Expected answer: 45/7

Correct? No

Problem: Compute the product of 17/11 and 3, writing your answer as a decimal rounded to two decimal places.

DeepSeek 67B:

Reasoning:
To compute the product of 17/11 and 3, we multiply 17 by 3 and divide the result by 11.
17 * 3 = 51
51 / 11 = 4.6363636363636365
Rounded to two decimal places, the answer is 4.64.
### Answer: 4.64

Expected answer: 51/11

Correct? No

Problem: Calculate the following multiplication of fractions and integers: (11 / 8) * 5. What is the result?

DeepSeek 67B:

Reasoning:
To multiply fractions, we multiply the numerators and multiply the denominators.
So, (11 / 8) * 5 = (11 * 5) / (8 * 1) = 55 / 8.
The result is 55/8.
### Answer: 55/8

Expected answer: 55/8

Correct? Yes