DeepSeek Math 7B Base on 7.NS.A.2
Common Core Standard 7.NS.A.2
This standard covers the following:
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Problem: Calculate the product of (29/2) and (19/28) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (29/2) * (19/28) = <<(29/2)*(19/28)=251/28>>251/28. ### Answer: 251/28
Expected answer: 551/56
Correct? No
Problem: Calculate the result of the following problem: multiply 7 by the result of dividing 27 by 12. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 7*(27/12) = 7*<<27/12=2.25>>2.25 = <<7*2.25=15.75>>15.75. ### Answer: 15.75
Expected answer: 63/4
Correct? Yes
Problem: Let's reconsider the previous question. Instead of multiplying 7 by the result of dividing 27 by 12, calculate the result when you multiply 7 by the division of 26 by 12. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 7*(26/12) = 7*<<26/12=2.1666666666666665>>2.1666666666666665 = <<7*2.1666666666666665=15.166666666666666>>15.166666666666666. ### Answer: 15.166666666666666
Expected answer: 91/6
Correct? Yes
Problem: Susan has a recipe that calls for 30 parts of flour to 27 parts of water. If she decides to use 29 parts of flour instead, and she keeps the water proportion the same, how much water will she use? Calculate this using fraction multiplication: ((30 / 30) * (29 / 27)).
DeepSeek Math 7B Base:
Reasoning: The ratio of flour to water is 30/27. The ratio of flour to water is 29/x. We can set up the following equation: 30/27 = 29/x We can solve for x by cross-multiplying: 30x = 27 * 29 30x = 783 x = 783/30 x = 26.1 ### Answer: 26.1
Expected answer: 29/27
Correct? No
Problem: Calculate the result of the following operation: ((24 / 22) * (24 / 17)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((24 / 22) * (24 / 17)) = <<(24/22)*(24/17)=12/17>>(12/17). ### Answer: 12/17
Expected answer: 288/187
Correct? No
Problem: What is the result when you divide 25/4 by 16/6? Please write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 25/4 divided by 16/6 is the same as 25/4 multiplied by 6/16. 25/4 multiplied by 6/16 is 150/64. 150/64 can be simplified to 75/32. ### Answer: 75/32
Expected answer: 75/32
Correct? Yes
Problem: If the result of dividing 25/4 by 16/6 is multiplied by 19/6, what is the new result? Be sure to simplify your answer to lowest terms.
DeepSeek Math 7B Base:
Reasoning: 25/4 divided by 16/6 is the same as 25/4 multiplied by 6/16. 25/4 multiplied by 6/16 is 150/64. 150/64 can be simplified to 75/32. 75/32 multiplied by 19/6 is 1425/192. 1425/192 can be simplified to 475/64. ### Answer: 475/64
Expected answer: 475/64
Correct? Yes
Problem: Following up from the previous question, consider the new scenario where instead of dividing 25/4 we are now dividing 9 by 16/6. What is the answer to this problem? Please simplify your final answer.
DeepSeek Math 7B Base:
Reasoning: 9 divided by 16/6 is the same as 9 multiplied by 6/16. 9 multiplied by 6/16 is 54/16. 54/16 can be simplified to 27/8. ### Answer: 27/8
Expected answer: 27/8
Correct? Yes
Problem: Determine the result of the following: Multiply the fraction 3/7 by the fraction 26/6 and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 3/7 * 26/6 = <<3/7*26/6=13/7>>13/7 ### Answer: 13/7
Expected answer: 13/7
Correct? Yes
Problem: In the previous question, you found the result of (3 / 7) * (26 / 6). Now, take that result and multiply it by the fraction 23/2. What's the result of this calculation, expressed as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 13/7 * 23/2 = <<13/7*23/2=169/7>>169/7 ### Answer: 169/7
Expected answer: 299/14
Correct? No
Problem: In the previous problem, you multiplied the fraction 3/7 by the fraction 26/6. Now, let's change the fraction a bit. Instead of 3/7, use 7/7 (which is actually 1). Multiply this new fraction 7/7 by the same fraction 26/6. What is the result of this new calculation, expressed as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 7/7 * 26/6 = <<7/7*26/6=26/6>>26/6 ### Answer: 26/6
Expected answer: 13/3
Correct? Yes
Problem: Calculate the result of the expression (17 / 10) * (28 / 10) and write your answer in decimal form.
DeepSeek Math 7B Base:
(17 / 10) * (28 / 10) = <<(17/10)*(28/10)=4.76>>4.76
Expected answer: 119/25
Correct? Yes
Problem: Following the previous question, you found the result of (17 / 10) * (28 / 10). Now, multiply that result by (11 / 18). What will the new result be? Write your answer in decimal form.
DeepSeek Math 7B Base:
(17 / 10) * (28 / 10) = <<(17/10)*(28/10)=4.76>>4.76 (17 / 10) * (28 / 10) * (11 / 18) = <<(17/10)*(28/10)*(11/18)=2.9066666666666667>>2.9066666666666667
Expected answer: 1309/450
Correct? No
Problem: In the previous problem, you were asked to calculate the result of (17 / 10) * (28 / 10). But consider this variation: calculate the result of the expression (17 / 24) * (28 / 10) instead. What would be the new result? Write your answer in decimal form.
DeepSeek Math 7B Base:
(17 / 24) * (28 / 10) = <<(17/24)*(28/10)=1.8055555555555554>>1.8055555555555554
Expected answer: 119/60
Correct? No
Problem: Determine the value of the given expression: ((29 / 14) * (23 / 6))
DeepSeek Math 7B Base:
The value of the given expression is <<(29/14)*(23/6)=1013/84>>1013/84.
Expected answer: 667/84
Correct? No
Problem: Calculate the answer for ((18 / 19) * (19 / 6)) and write the result as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((18 / 19) * (19 / 6)) = <<(18/19)*(19/6)=3/1>>3/1. ### Answer: 3/1
Expected answer: 3
Correct? Yes
Problem: After calculating the solution for ((18 / 19) * (19 / 6)), take the result and multiply it by itself. What do you get? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((18 / 19) * (19 / 6)) = <<(18/19)*(19/6)=3/1>>3/1. ((3/1) * (3/1)) = <<(3/1)*(3/1)=9/1>>9/1. ### Answer: 9/1
Expected answer: 9
Correct? Yes
Problem: After you've calculated the solution for ((18 / 19) * (19 / 6)), now consider what would happen if the fraction was instead ((9 / 19) * (19 / 6)). What would be the result? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((9 / 19) * (19 / 6)) = <<(9/19)*(19/6)=3/2>>3/2. ### Answer: 3/2
Expected answer: 3/2
Correct? Yes
Problem: Calculate the result of the multiplication of the fraction 19/12 by 20/6. Write your final answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 19/12 * 20/6 = <<19/12*20/6=190/36>>190/36 = 190/36 = <<190/36=5*38/9*4>>5*38/9*4 = 38/9 = <<38/9=4*2/9*1>>4*2/9*1 = 4/9 ### Answer: 4/9
Expected answer: 95/18
Correct? No
Problem: A cargo ship carries 28/21 of its capacity in the morning, and 22/4 of its capacity in the afternoon. If the cargo in the morning represents the load allocated to consumer goods and the cargo in the afternoon represents industrial supplies, what is the total fractional representation of these two types of cargo hauled in one day? Calculate ((28 / 21) * (22 / 4)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: The total fractional representation of these two types of cargo hauled in one day is (28/21) + (22/4) = <<(28/21)+(22/4)=10>>10. ### Answer: 10
Expected answer: 22/3
Correct? No
Problem: Determine the result of the following mathematical expression: (16 / 4) / (24 / 21). Write your answer as a simplified fraction or decimal.
DeepSeek Math 7B Base:
Reasoning: (16 / 4) / (24 / 21) = <<(16/4)/(24/21)=16/4*21/24>>16/4*21/24 = <<16/4*21/24=7/3>>7/3. ### Answer: 7/3
Expected answer: 7/2
Correct? No
Problem: Calculate the product of the fractions 5/27 and 15/2. Write your answer in the simplest form.
DeepSeek Math 7B Base:
Reasoning: 5/27 * 15/2 = <<5/27*15/2=25/9>>25/9 ### Answer: 25/9
Expected answer: 25/18
Correct? No
Problem: Calculate the result of the following product of fractions: (15 / 13) * (19 / 7). Make sure to write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(15 / 13) * (19 / 7) = (15 * 19) / (13 * 7) = <<(15*19)/(13*7)=285/91>>285/91. 285/91 = 5/2 = <<285/91=5/2>>5/2. ### Answer: 5/2
Expected answer: 285/91
Correct? No
Problem: Calculate the product of the fractions 23/22 and 27/20. Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 23/22 * 27/20 = <<23/22*27/20=23*27/22*20=621/440>>621/440 ### Answer: 621/440
Expected answer: 621/440
Correct? Yes
Problem: Calculate the result of the following operation: (12 / 25) * (20 / 4). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(12 / 25) * (20 / 4) = (12 * 20) / (25 * 4) = (12 * 5) / (25 * 1) = (12 * 1) / (5 * 1) = 12 / 5 ### Answer: 12/5
Expected answer: 12/5
Correct? Yes
Problem: After finding the result of (12 / 25) * (20 / 4), now multiply this result by (17 / 17). Report your final answer as a simplified fraction.
DeepSeek Math 7B Base:
(12 / 5) * (17 / 17) = (12 * 17) / (5 * 17) = (12 * 1) / (5 * 1) = 12 / 5 ### Answer: 12/5
Expected answer: 12/5
Correct? Yes
Problem: After resolving the previous problem, let us consider a slightly different situation. Now, calculate the result of (10 / 25) * (20 / 4) instead of (12 / 25) * (20 / 4). What difference does this make to the result? Write your new answer as a simplified fraction.
DeepSeek Math 7B Base:
(10 / 25) * (20 / 4) = (10 * 20) / (25 * 4) = (10 * 5) / (25 * 1) = (10 * 1) / (5 * 1) = 10 / 5 ### Answer: 10/5
Expected answer: 2
Correct? Yes
Problem: Calculate the following operation: multiply the fraction 14/10 by the fraction 30/5. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 14/10 * 30/5 = <<14/10*30/5=42/5>>42/5. ### Answer: 42/5
Expected answer: 42/5
Correct? Yes
Problem: After calculating the multiplication of 14/10 by 30/5, multiply that result by the fraction 13/15. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 14/10 * 30/5 = <<14/10*30/5=42/5>>42/5. 42/5 * 13/15 = <<42/5*13/15=91/125>>91/125. ### Answer: 91/125
Expected answer: 182/25
Correct? No
Problem: In the previous problem, suppose that instead of 14/10 we had 30/10. Now, the problem becomes: calculate the multiplication of 30/10 by 30/5. What would be the simplified fraction as an answer?
DeepSeek Math 7B Base:
Reasoning: 30/10 * 30/5 = <<30/10*30/5=9>>9. ### Answer: 9
Expected answer: 18
Correct? No
Problem: A baker is preparing a large batch of cookies that requires 26 cups of sugar per each full batch. If he only has enough sugar to make a fraction of the batch, represented by 29/14 of a full batch, how many batches of cookies can the baker make? Calculate this as ((26 / 1) / (29 / 14)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: The baker can make 26/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make 14/29 of a full batch. The baker can make
Expected answer: 364/29
Correct? No
Problem: Evaluate the following expression: (27 / 10) * (9 / 4). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(27/10) * (9/4) = (27*9)/(10*4) = <<(27*9)/(10*4)=243/40>>243/40
Expected answer: 243/40
Correct? Yes
Problem: After solving for s in the previous problem, now calculate a new value o, where o = (9 / 13) * s. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
o = (9/13) * s = (9/13) * <<243/40>>243/40 = <<(9/13)*(243/40)=1944/520>>1944/520
Expected answer: 2187/520
Correct? No
Problem: After having calculated the previous problem where you multiplied (27 / 10) * (9 / 4), consider what would happen if instead of multiplying by (9 / 4), you multiplied by (9 / 11). Calculate the new value of s = ((27 / 10) * (9 / 11)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
s = ((27/10) * (9/11)) = (27*9)/(10*11) = <<(27*9)/(10*11)=243/110>>243/110
Expected answer: 243/110
Correct? Yes
Problem: Evaluate the expression ((24 / 11) * (27 / 26)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
((24 / 11) * (27 / 26)) = <<(24/11)*(27/26)=>>(24/11)*(27/26) = <<(24/11)*(27/26)=216/286>>216/286 = <<216/286=216/286>>216/286 = <<216/286=108/143>>108/143
Expected answer: 324/143
Correct? No
Problem: Find the solution to the following multiplication problem: Multiply the fraction 26/9 by the fraction 17/13. Write your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: 26/9 * 17/13 = <<26/9*17/13=406/117>>406/117. 406/117 = <<406/117=3 47/117>>3 47/117. ### Answer: 3 47/117
Expected answer: 34/9
Correct? No
Problem: Solve the following problem: What is the result of the expression (28 / 16) / (27 / 24)? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (28 / 16) / (27 / 24) = (28 / 16) * (24 / 27) = <<(28/16)*(24/27)=7/3>>7/3. ### Answer: 7/3
Expected answer: 14/9
Correct? No
Problem: Calculate the expression ((15 / 3) * (19 / 26)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((15 / 3) * (19 / 26)) = <<(15/3)*(19/26)=15/13>>15/13. ### Answer: 15/13
Expected answer: 95/26
Correct? No
Problem: The local bakery was making a special order for a customer. The recipe they are using requires 19/28, and they want to make exactly 30/4 of this recipe. How much of the ingredient will they require?
DeepSeek Math 7B Base:
Reasoning: 19/28 * 30/4 = <<19/28*30/4=19*30/28*4=570/112>>570/112 ### Answer: 570/112
Expected answer: 285/56
Correct? Yes
Problem: Continuing from the bakery scenario, suppose that the bakery has adjusted their special recipe, and instead of using 19/28, they now use 19/14 of the ingredient for a single cake. If a customer still wants to order 30/4 of this new recipe, how much of the ingredient will the bakery now require for this order?
DeepSeek Math 7B Base:
Reasoning: 19/14 * 30/4 = <<19/14*30/4=19*30/14*4=570/56>>570/56 ### Answer: 570/56
Expected answer: 285/28
Correct? Yes
Problem: Determine the result of ((5 / 2) / (26 / 15)). Write the final answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((5 / 2) / (26 / 15)) = (5 / 2) * (15 / 26) = (5 * 15) / (2 * 26) = <<(5*15)/(2*26)=75/52>>75/52. ### Answer: 75/52
Expected answer: 75/52
Correct? Yes
Problem: After determining the result of ((5 / 2) / (26 / 15)) in the previous problem, take that result and multiply it by itself. What simplified fraction do you get?
DeepSeek Math 7B Base:
Reasoning: (75/52) * (75/52) = (75 * 75) / (52 * 52) = <<(75*75)/(52*52)=5625/2704>>5625/2704. ### Answer: 5625/2704
Expected answer: 5625/2704
Correct? Yes
Problem: After determining the result of ((5 / 2) / (26 / 15)) in the previous problem, consider a situation where there were initially 14 units instead of 5. What is the result when you divide 14 by (26 / 15)? Write the final answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 14 / (26 / 15) = 14 * (15 / 26) = (14 * 15) / 26 = <<(14*15)/26=210/26>>210/26. ### Answer: 210/26
Expected answer: 105/13
Correct? Yes
Problem: Calculate the result of the expression (9/3) * (27/28) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (9/3) * (27/28) = <<(9/3)*(27/28)=27/28>>27/28 ### Answer: 27/28
Expected answer: 81/28
Correct? No
Problem: Calculate the solution to the following equation and write your answer as a simplified fraction: ((15 / 13) * (24 / 24))
DeepSeek Math 7B Base:
((15 / 13) * (24 / 24)) = (15 * 24) / (13 * 24) = <<(15*24)/(13*24)=30/13>>(30 / 13)
Expected answer: 15/13
Correct? Yes
Problem: After calculating the solution to ((15 / 13) * (24 / 24)), multiply your answer with (22 / 7) and write that answer as a simplified fraction.
DeepSeek Math 7B Base:
(30 / 13) * (22 / 7) = (30 * 22) / (13 * 7) = <<(30*22)/(13*7)=660/91>>(660 / 91)
Expected answer: 330/91
Correct? No
Problem: After calculating the solution to ((15 / 2) * (24 / 24)), consider what would happen if you originally had 15 halves instead of 15 thirteenths. Multiply this new fraction with 1 (represented by (24 / 24)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
((15 / 2) * (24 / 24)) = (15 * 24) / (2 * 24) = <<(15*24)/(2*24)=72/2>>(72 / 2)
Expected answer: 15/2
Correct? Yes
Problem: Calculate the result of the following multiplication of fractions operation: (9 / 7) * (25 / 30). Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (9 / 7) * (25 / 30) = <<(9/7)*(25/30)=3/2>>(3 / 2) ### Answer: 3/2
Expected answer: 15/14
Correct? No
Problem: Calculate the result of the problem ((9 / 8) / (20 / 18)). Write your final answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((9 / 8) / (20 / 18)) = (9 / 8) * (18 / 20) = (9 * 18) / (8 * 20) = <<(9*18)/(8*20)=81/80>>81/80. ### Answer: 81/80
Expected answer: 81/80
Correct? Yes
Problem: Following the previous question, now calculate the result of multiplying your answer by the fraction (29 / 21). Write your final answer as a simplified fraction. In other words, calculate ((29 / 21) * ((9 / 8) / (20 / 18))).
DeepSeek Math 7B Base:
Reasoning: ((29 / 21) * ((9 / 8) / (20 / 18))) = (29 / 21) * (81 / 80) = (29 * 81) / (21 * 80) = <<(29*81)/(21*80)=2379/1680>>2379/1680. ### Answer: 2379/1680
Expected answer: 783/560
Correct? No
Problem: In the previous scenario, instead of starting with a fraction of 9/8, let's say we started with a simpler fraction of 9 and divide it by the complex fraction 20/18. What would be the result? In other words, calculate (9 / (20 / 18)). Express your final answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (9 / (20 / 18)) = 9 * (18 / 20) = (9 * 18) / 20 = <<(9*18)/20=81/10>>81/10. ### Answer: 81/10
Expected answer: 81/10
Correct? Yes
Problem: What is the result of performing the operation (30 / 6) / (13 / 9)? Write your answer as a simplified number or fraction.
DeepSeek Math 7B Base:
Reasoning: (30 / 6) / (13 / 9) = <<(30/6)/(13/9)=30/6*9/13>>(30 / 6) * (9 / 13) = <<(30/6)*(9/13)=45/13>>45/13. ### Answer: 45/13
Expected answer: 45/13
Correct? Yes
Problem: Following the result of the previous question, calculate the new result if you multiply the answer you got by (14 / 4). What is your answer now?
DeepSeek Math 7B Base:
Reasoning: 45/13 * (14 / 4) = <<(45/13)*(14/4)=15*7/13>>15 * 7/13 = <<15*7/13=105/13>>105/13. ### Answer: 105/13
Expected answer: 315/26
Correct? No
Problem: If you divide 30 by 18 and then multiply the result by the fraction 18/6, what is the result?
DeepSeek Math 7B Base:
Reasoning: 30/18 = <<30/18=5/3>>5/3. (5/3)*(18/6) = <<(5/3)*(18/6)=5>>5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: If you take the result from the previous problem (30 divided by 18, multiplied by 18/6) and multiply this by 8/20, what is the resulting value?
DeepSeek Math 7B Base:
Reasoning: 5*(8/20) = <<5*(8/20)=2>>2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: If we adjust the original problem and now divide 30 by 4 and then multiply by the fraction 18/6, how does the result compares to our original calculation? What is the new value?
DeepSeek Math 7B Base:
Reasoning: 30/4 = <<30/4=7.5>>7.5. (7.5)*(18/6) = <<(7.5)*(18/6)=22.5>>22.5. ### Answer: 22.5
Expected answer: 45/2
Correct? Yes
Problem: Calculate the result of the following problem: ((20 / 2) * (2 / 18)) and write the answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((20 / 2) * (2 / 18)) = <<(20/2)*(2/18)=10/18>>10/18 = <<10/18=5/9>>5/9 ### Answer: 5/9
Expected answer: 10/9
Correct? No
Problem: Solve the following problem and write your answer as a simplified fraction: ((11 / 9) * (29 / 6))
DeepSeek Math 7B Base:
((11 / 9) * (29 / 6)) = <<(11/9)*(29/6)=11*29/9*6=319/54>>319/54
Expected answer: 319/54
Correct? Yes
Problem: After finding the result of ((11 / 9) * (29 / 6)), multiply your answer by the fraction (11 / 5). Write your final answer as a simplified fraction.
DeepSeek Math 7B Base:
((11 / 9) * (29 / 6)) = <<(11/9)*(29/6)=11*29/9*6=319/54>>319/54 ((11 / 5) * (319 / 54)) = <<(11/5)*(319/54)=11*319/5*54=3509/270>>3509/270 ### Answer: 3509/270
Expected answer: 3509/270
Correct? Yes
Problem: After finding the result of ((21 / 9) * (29 / 6)), consider what would have happened if the initial calculation involved (21 / 9) instead of (11 / 9). Calculate the new result and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
((21 / 9) * (29 / 6)) = <<(21/9)*(29/6)=21*29/9*6=609/54>>609/54
Expected answer: 203/18
Correct? Yes
Problem: Calculate the result for the following mathematical operation: (30 / 7) * (16 / 19). Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (30/7) * (16/19) = <<(30/7)*(16/19)=240/133>>240/133. ### Answer: 240/133
Expected answer: 480/133
Correct? No
Problem: Calculate the product of 25/22 and 20/3 and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 25/22 * 20/3 = <<25/22*20/3=250/66>>250/66 = <<250/66=125/33>>125/33 ### Answer: 125/33
Expected answer: 250/33
Correct? No
Problem: Calculate the result of the following problem and write your answer as a simplified fraction: ((29 / 2) / (23 / 19))
DeepSeek Math 7B Base:
Reasoning: ((29 / 2) / (23 / 19)) = (29 / 2) * (19 / 23) = <<(29/2)*(19/23)=247/46>>(247 / 46) ### Answer: 247/46
Expected answer: 551/46
Correct? No
Problem: Calculate the solution for the following expression: (5 / 3) * (27 / 13) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (5 / 3) * (27 / 13) = (5 * 27) / (3 * 13) = <<(5*27)/(3*13)=35/13>>35/13 ### Answer: 35/13
Expected answer: 45/13
Correct? No
Problem: Calculate the answer to the following problem: (29 / 29) * (1 / 1) and write your answer.
DeepSeek Math 7B Base:
(29 / 29) * (1 / 1) = 1 * 1 = 1
Expected answer: 1
Correct? Yes
Problem: Now, use your answer from the last problem and multiply it by (27 / 27) to solve this follow-up problem. What is the result?
DeepSeek Math 7B Base:
1 * (27 / 27) = 1
Expected answer: 1
Correct? Yes
Problem: Now, let's change the problem a little bit. Instead of (29 / 29) * (1 / 1), let's use (29 / 6) * (1 / 1). What will the result be?
DeepSeek Math 7B Base:
(29 / 6) * (1 / 1) = 4.833333333333333
Expected answer: 29/6
Correct? Yes
Problem: Calculate the product of the fractions 11/19 and 22/7. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 11/19 * 22/7 = <<11/19*22/7=242/133>>242/133. ### Answer: 242/133
Expected answer: 242/133
Correct? Yes
Problem: After you find the product of the fractions 11/19 and 22/7, multiply your answer by 25/4. What is the result as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 242/133 * 25/4 = <<242/133*25/4=15125/532>>15125/532. ### Answer: 15125/532
Expected answer: 3025/266
Correct? No
Problem: After you find the product of the fractions 11/19 and 25/7, suppose that we initially used 25/7 instead of 22/7. How does the result change? Write the new result as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 11/19 * 25/7 = <<11/19*25/7=275/133>>275/133. ### Answer: 275/133
Expected answer: 275/133
Correct? Yes
Problem: What is the result of multiplying 21/30 by 19/5? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 21/30 * 19/5 = <<21/30*19/5=133/50>>133/50 ### Answer: 133/50
Expected answer: 133/50
Correct? Yes
Problem: If you further multiply the result you got from the last problem ((21/30) * (19/5)) by 16/12, what would be the final result? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 133/50 * 16/12 = <<133/50*16/12=1064/300>>1064/300 ### Answer: 1064/300
Expected answer: 266/75
Correct? Yes
Problem: If in the previous problem, instead of multiplying 21/30 by 19/5, you had to multiply 9/30 by 19/5, what would be the new result? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 9/30 * 19/5 = <<9/30*19/5=19/25>>19/25 ### Answer: 19/25
Expected answer: 57/50
Correct? No
Problem: What is the result when you multiply the fraction 11/15 by the fraction 23/8? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 11/15 * 23/8 = <<11/15*23/8=253/120>>253/120. ### Answer: 253/120
Expected answer: 253/120
Correct? Yes
Problem: Based on your previous calculation, what is the result when you multiply the answer you found for 11/15 * 23/8 by itself? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 253/120 * 253/120 = <<253/120*253/120=64009/14400>>64009/14400. ### Answer: 64009/14400
Expected answer: 64009/14400
Correct? Yes
Problem: In the previous problem, you multiplied the fractions 11/15 and 23/8. But what if instead, you multiply the fractions 11/15 and 26/8? What would be the result of this change? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 11/15 * 26/8 = <<11/15*26/8=143/30>>143/30. ### Answer: 143/30
Expected answer: 143/60
Correct? No
Problem: What is the result of (29 / 16) * (21 / 27)? Present your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (29 / 16) * (21 / 27) = <<(29/16)*(21/27)=29*21/16*27>>29*21/16*27 = <<29*21/16*27=29*7/16*9>>29*7/16*9 = <<29*7/16*9=29*7/2*9>>29*7/2*9 = <<29*7/2*9=29*7/2*3>>29*7/2*3 = <<29*7/2*3=29*7/6>>29*7/6 = <<29*7/6=203/6>>203/6. ### Answer: 203/6
Expected answer: 203/144
Correct? No
Problem: What is the result when (28 / 1) is divided by (30 / 27)? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (28 / 1) / (30 / 27) = (28 / 1) * (27 / 30) = <<(28/1)*(27/30)=168/10>>168/10. ### Answer: 168/10
Expected answer: 126/5
Correct? No
Problem: What is the result when you multiply ((25 / 25) * (20 / 7))? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((25 / 25) * (20 / 7)) = (1 * (20 / 7)) = (20 / 7) ### Answer: (20 / 7)
Expected answer: 20/7
Correct? Yes
Problem: After finding the result of ((25 / 25) * (20 / 7)), what is the result when you multiply this product by itself? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((20 / 7) * (20 / 7)) = (400 / 49) ### Answer: (400 / 49)
Expected answer: 400/49
Correct? Yes
Problem: After reevaluating the previous problem, if you found the result of ((25 / 25) * (11 / 7)) instead of ((25 / 25) * (20 / 7)), what would be the new result? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((25 / 25) * (11 / 7)) = (1 * (11 / 7)) = (11 / 7) ### Answer: (11 / 7)
Expected answer: 11/7
Correct? Yes
Problem: Calculate the following: multiply 5 (which is equivalent to the fraction 5/1) with the fraction 16/27. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 5/1 * 16/27 = <<5/1*16/27=80/27>>80/27. ### Answer: 80/27
Expected answer: 80/27
Correct? Yes
Problem: Suppose you initially started with 30 (instead of 5), which is equivalent to the fraction 30/1. You are then required to multiply this with the fraction 16/27. How does this change the result from the previous problem? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 30/1 * 16/27 = <<30/1*16/27=160/9>>160/9. ### Answer: 160/9
Expected answer: 160/9
Correct? Yes
Problem: Calculate the result of the expression ((27 / 3) / (12 / 12)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((27 / 3) / (12 / 12)) = (27 / 3) * (12 / 12) = (27 * 12) / (3 * 12) = 27 / 3 = <<27/3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: You previously calculated the result of ((27 / 3) / (12 / 12)) and labeled that answer as 's'. Now, compute the result of multiplying your answer 's' by the fraction (21/17) and report the result as a simplified fraction. This new result will be labeled as 'b'.
DeepSeek Math 7B Base:
Reasoning: s = 9, b = 9 * (21/17) = (9 * 21) / 17 = <<9*21/17=117/17>>117/17. ### Answer: 117/17
Expected answer: 189/17
Correct? No
Problem: Earlier, you calculated the result of ((27 / 3) / (12 / 12)) and labeled that answer as 's'. Consider the same scenario, but this time, instead of having 27 items, you only have 24. Calculate the result of (24 / (12 / 12)) and report the answer as a simplified fraction. What effect does this change have on the answer 's'?
DeepSeek Math 7B Base:
Reasoning: (24 / (12 / 12)) = (24 * 12) / (12 * 12) = 24 / 12 = <<24/12=2>>2. ### Answer: 2
Expected answer: 24
Correct? No
Problem: Calculate the result of the following operation: (15 / 16) * (29 / 2). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (15 / 16) * (29 / 2) = <<(15/16)*(29/2)=2175/32>>2175/32. ### Answer: 2175/32
Expected answer: 435/32
Correct? No
Problem: Calculate the solution to this mathematical equation: ((6 / 2) / (13 / 9)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((6 / 2) / (13 / 9)) = (6 / 2) * (9 / 13) = (6 * 9) / (2 * 13) = <<6*9/2*13=27/13>>27/13. ### Answer: 27/13
Expected answer: 27/13
Correct? Yes
Problem: Following your previous calculation, how would the result change if the first fraction was actually ((6 / 2) / 3) instead of ((6 / 2) / (13 / 9))? Calculate and write your answer as a simplfied fraction.
DeepSeek Math 7B Base:
Reasoning: ((6 / 2) / 3) = (6 / 2) * (1 / 3) = (6 * 1) / (2 * 3) = <<6*1/2*3=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Calculate the answer to the following problem: divide seven wholes, which is the same as 7/1, by 15/9. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 7/1 ÷ 15/9 = 7/1 × 9/15 = <<7/1*9/15=63/15>>63/15 = 21/5. ### Answer: 21/5
Expected answer: 21/5
Correct? Yes
Problem: Following up on the last question, once you have found the result of dividing seven wholes by 15/9, multiply your answer by the fraction 10/5. What do you get as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 21/5 × 10/5 = <<21/5*10/5=210/25>>210/25 = 42/5. ### Answer: 42/5
Expected answer: 42/5
Correct? Yes
Problem: Previously, you evaluated the result of dividing seven wholes, or 7/1, by 15/9. Now, consider what would happen if instead of seven whole, there were twenty wholes, or 20/1. What would be the result if you divide twenty wholes by 15/9? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 20/1 ÷ 15/9 = 20/1 × 9/15 = <<20/1*9/15=180/15>>180/15 = 12. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: What is the result when you multiply (23/10) by (9/1)?
DeepSeek Math 7B Base:
(23/10) * (9/1) = <<(23/10)*(9/1)=207/10>>207/10
Expected answer: 207/10
Correct? Yes
Problem: You have already calculated the result of (23/10) multiplied by (9/1). Now, multiply this result by (1/16). What is your answer?
DeepSeek Math 7B Base:
(207/10) * (1/16) = <<(207/10)*(1/16)=207/160>>207/160
Expected answer: 207/160
Correct? Yes
Problem: Previously, you computed the result of (23/10) multiplied by (9/1). Now, consider what would have happened if instead of (9/1), you had (9/6). Multiply (23/10) by this new fraction. What is your answer?
DeepSeek Math 7B Base:
(23/10) * (9/6) = <<(23/10)*(9/6)=207/60>>207/60
Expected answer: 69/20
Correct? Yes
Problem: What is ((18 / 4) * (10 / 11))? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((18 / 4) * (10 / 11)) = <<(18/4)*(10/11)=90/44>>90/44. ### Answer: 90/44
Expected answer: 45/11
Correct? No
Problem: What is the numerical result when the fraction 24/23 is multiplied by the fraction 23/3?
DeepSeek Math 7B Base:
Reasoning: 24/23 * 23/3 = <<24/23*23/3=24/3>>24/3 = <<24/3=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Continuing from the previous problem, if the result is then multiplied by the fraction 30/21, what is the final numerical outcome?
DeepSeek Math 7B Base:
Reasoning: 8 * 30/21 = <<8*30/21=8*10/7>>8 * 10/7 = <<8*10/7=80/7>>80/7 = <<80/7=11.428571428571428>>11.428571428571428. ### Answer: 11.428571428571428
Expected answer: 80/7
Correct? Yes
Problem: Continuing from the previous problem, if we replace the original fraction of 23/3 with 18/3 and keep the 24/23 fraction the same, what now happens to the numerical result when we perform the multiplication?
DeepSeek Math 7B Base:
Reasoning: 24/23 * 18/3 = <<24/23*18/3=24*6>>24*6 = <<24*6=144>>144. ### Answer: 144
Expected answer: 144/23
Correct? No
Problem: Determine the solution for the following division of fractions: (20 / 13) / (17 / 16) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
The solution for the division of fractions (20 / 13) / (17 / 16) is: (20 / 13) / (17 / 16) = (20 / 13) * (16 / 17) = <<(20/13)*(16/17)=160/221>>(160 / 221) ### Answer: 160/221
Expected answer: 320/221
Correct? No
Problem: Calculate the result of the following problem: ((5 divided by 5) multiplied by (4 divided by 1))
DeepSeek Math 7B Base:
Reasoning: (5/5) * (4/1) = 1 * 4 = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Given that the result from the previous problem is c, calculate the result of the following formula: ((21 divided by 9) multiplied by c). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (21/9) * c = (21/9) * 4 = 21/9 * 4/1 = 84/9 = 9 3/9 = 9 1/3 ### Answer: 9 1/3
Expected answer: 28/3
Correct? Yes
Problem: Assuming that in the previous problem, the initial amount of oranges was 5 but was changed to 5/15, how would this affect the outcome if it is multiplied by the same fraction (4/1)? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (5/15) * (4/1) = (1/3) * 4 = 4/3 ### Answer: 4/3
Expected answer: 4/3
Correct? Yes
Problem: Calculate the result for the following problem: ((30 / 23) * (19 / 24)). Write the answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((30 / 23) * (19 / 24)) = <<(30/23)*(19/24)=15/13>>(15/13) ### Answer: 15/13
Expected answer: 95/92
Correct? No
Problem: Evaluate the expression (23 / 26) * (16 / 1) and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (23 / 26) * (16 / 1) = <<(23/26)*(16/1)=13/13>>13/13 ### Answer: 13/13
Expected answer: 184/13
Correct? No
Problem: Compute the following fractional expression: ((21 / 1) / (26 / 20)), express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((21 / 1) / (26 / 20)) = (21 / 1) * (20 / 26) = (21 * 20) / (1 * 26) = <<21*20/1*26=420/26>>420/26 = <<420/26=16 4/13>>16 4/13. ### Answer: 16 4/13
Expected answer: 210/13
Correct? No
Problem: Calculate the following: multiply 24 over 19 by 21 over 19 without simplifying. Write your answer as a fraction.
DeepSeek Math 7B Base:
Reasoning: 24/19 * 21/19 = <<24/19*21/19=24*21/19*19=24*21/19*19=504/361>>504/361. ### Answer: 504/361
Expected answer: 504/361
Correct? Yes
Problem: Considering the previous problem, let's make a small change to it. Instead of multiplying 24 over 19, let's multiply 20 over 19 by 21 over 19 but without simplifying. Write your answer as a fraction.
DeepSeek Math 7B Base:
Reasoning: 20/19 * 21/19 = <<20/19*21/19=20*21/19*19=20*21/19*19=420/361>>420/361. ### Answer: 420/361
Expected answer: 420/361
Correct? Yes
Problem: Jim is baking a cake that calls for 12/2 cups of sugar and 17/14 cups of flour. If Jim needs to multiply the amount of sugar and flour he needs for a larger cake, how much sugar and flour does he need in total? Calculate ((12 / 2) * (17 / 14)) and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: Jim needs 12/2 = <<12/2=6>>6 cups of sugar and 17/14 = <<17/14=1.2142857142857142857142857142857>>1.2142857142857142857142857142857 cups of flour. Jim needs 6 + 1.2142857142857142857142857142857 = <<6+1.2142857142857142857142857142857=7.2142857142857142857142857142857>>7.2142857142857142857142857142857 cups of sugar and flour in total. ### Answer: 7.2142857142857142857142857142857
Expected answer: 51/7
Correct? No
Problem: Calculate the result of the following operation: ((21 / 16) / (27 / 23)) and represent the answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((21 / 16) / (27 / 23)) = (21 / 16) * (23 / 27) = (21 * 23) / (16 * 27) = <<21*23/16*27=1083/432>>1083/432. ### Answer: 1083/432
Expected answer: 161/144
Correct? No
Problem: Calculate the answer to the following problem and write the answer as a simplified fraction: (11 / 20) * (24 / 12)
DeepSeek Math 7B Base:
(11 / 20) * (24 / 12) = (11 * 24) / (20 * 12) = <<(11*24)/(20*12)=11/10>>11/10
Expected answer: 11/10
Correct? Yes
Problem: Continue the previous problem with this next step: Multiply your answer by (21 / 16) and write the result as a simplified fraction.
DeepSeek Math 7B Base:
(11 / 10) * (21 / 16) = (11 * 21) / (10 * 16) = <<(11*21)/(10*16)=231/160>>231/160
Expected answer: 231/160
Correct? Yes
Problem: In the previous problem, you calculated (11 / 20) * (24 / 12). Now, consider what would happen if you were to calculate (11 / 6) * (24 / 12) instead. What would be the result, expressed as a simplified fraction?
DeepSeek Math 7B Base:
(11 / 6) * (24 / 12) = (11 * 24) / (6 * 12) = <<(11*24)/(6*12)=11/3>>11/3
Expected answer: 11/3
Correct? Yes
Problem: Calculate the answer to the following problem: ((6 / 19) * (28 / 2)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((6 / 19) * (28 / 2)) = <<(6/19)*(28/2)=84/19>>(84/19). ### Answer: 84/19
Expected answer: 84/19
Correct? Yes
Problem: After calculating the answer to ((6 / 19) * (28 / 2)), take that result and multiply it by (27 / 17). What is the final answer as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: ((6 / 19) * (28 / 2)) = <<(6/19)*(28/2)=84/19>>(84/19). (84/19) * (27/17) = <<(84/19)*(27/17)=1512/323>>(1512/323). ### Answer: 1512/323
Expected answer: 2268/323
Correct? No
Problem: Previously, you calculated the answer to ((6 / 19) * (28 / 2)). Now, consider if you had originally calculated ((17 / 19) * (28 / 2)) instead of ((6 / 19) * (28 / 2)). What would be the result of this calculation as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: ((17 / 19) * (28 / 2)) = <<(17/19)*(28/2)=182/19>>(182/19). ### Answer: 182/19
Expected answer: 238/19
Correct? No
Problem: Calculate the result of the following operation: (12 / 14) * (28 / 5). Simplify the resulting fraction to its lowest terms.
DeepSeek Math 7B Base:
Reasoning: (12 / 14) * (28 / 5) = (12 * 28) / (14 * 5) = <<12*28=336>>336 / <<14*5=70>>70 = <<336/70=4.8>>4.8 = <<4.8=4 4/5>>4 4/5. ### Answer: 4 4/5
Expected answer: 24/5
Correct? Yes
Problem: You were given a fraction after calculating the result of (12 / 14) * (28 / 5) in a previous problem. Now multiply your result by 15/10. What new fraction do you get? Simplify your answer to the lowest terms.
DeepSeek Math 7B Base:
Reasoning: 4 4/5 * 15/10 = (24/5) * (15/10) = (24 * 15) / (5 * 10) = <<24*15=360>>360 / <<5*10=50>>50 = <<360/50=7.2>>7.2 = <<7.2=7 1/5>>7 1/5. ### Answer: 7 1/5
Expected answer: 36/5
Correct? Yes
Problem: In the previous problem, you calculated the result of (12 / 14) * (28 / 5) and then multiplied your result by 15/10. Now consider the situation where instead of 12/14, you have 3/14. What is the result when you multiply 3/14 by 28/5? Simplify your answer to the lowest terms.
DeepSeek Math 7B Base:
Reasoning: (3 / 14) * (28 / 5) = (3 * 28) / (14 * 5) = <<3*28=84>>84 / <<14*5=70>>70 = <<84/70=1.2>>1.2 = <<1.2=1 1/5>>1 1/5. ### Answer: 1 1/5
Expected answer: 6/5
Correct? Yes
Problem: Calculate the result of the following expression: (19 / 3) * (8 / 15). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(19 / 3) * (8 / 15) = <<(19/3)*(8/15)=152/45>>152/45.
Expected answer: 152/45
Correct? Yes
Problem: After you've calculated the result of (19 / 3) * (8 / 15), multiply your answer by (19 / 9). Write your final answer as a simplified fraction.
DeepSeek Math 7B Base:
(19 / 3) * (8 / 15) = <<(19/3)*(8/15)=152/45>>152/45. (152/45) * (19/9) = <<(152/45)*(19/9)=304/45>>304/45.
Expected answer: 2888/405
Correct? No
Problem: First, recalculate the previous problem using (19 / 7) instead of (19 / 3). So the new calculation is (19 / 7) * (8 / 15). What is the result? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(19 / 7) * (8 / 15) = <<(19/7)*(8/15)=152/105>>152/105.
Expected answer: 152/105
Correct? Yes
Problem: Calculate the result of the following expression: ((15 / 3) * (7 / 25)) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((15 / 3) * (7 / 25)) = <<(15/3)*(7/25)=35/75>>35/75 = 7/15. ### Answer: 7/15
Expected answer: 7/5
Correct? No
Problem: Calculate the following equation: (20 / 10) * (10 / 1) and write your answer as a whole number.
DeepSeek Math 7B Base:
(20 / 10) * (10 / 1) = 20 / 1 = <<20/1=20>>20
Expected answer: 20
Correct? Yes
Problem: Following the previous problem, consider that you got an answer x from calculating (20 / 10) * (10 / 1). Now, evaluate z by multiplying your previous answer x with the fraction (19 / 15). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
x = 20 z = x * (19 / 15) = 20 * (19 / 15) = <<20*19/15=253/3>>253/3
Expected answer: 76/3
Correct? No
Problem: Calculate the result of the [(27 / 18) * (19 / 8)] and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: [(27 / 18) * (19 / 8)] = <<(27/18)*(19/8)=285/72>>285/72. The fraction 285/72 can be simplified to 95/24. ### Answer: 95/24
Expected answer: 57/16
Correct? No
Problem: What is the result of the multiply operation when you multiply the fraction 29/5 by 13/24? Please write your response as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 29/5 * 13/24 = <<29/5*13/24=1013/120>>1013/120 ### Answer: 1013/120
Expected answer: 377/120
Correct? No
Problem: Calculate the value of the expression ((29 / 17) / (27 / 22)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((29 / 17) / (27 / 22)) = (29 / 17) * (22 / 27) = <<(29/17)*(22/27)=118/153>>(118 / 153). ### Answer: 118/153
Expected answer: 638/459
Correct? No
Problem: What would be the result of the calculation (27 / 6) * (25 / 5)?
DeepSeek Math 7B Base:
Reasoning: (27 / 6) * (25 / 5) = <<(27/6)*(25/5)=9>>9 ### Answer: 9
Expected answer: 45/2
Correct? No
Problem: Calculate and write your answer as a simplified fraction for the following expression: (13 / 1) * (1 / 6).
DeepSeek Math 7B Base:
(13 / 1) * (1 / 6) = <<(13/1)*(1/6)=13/6>>13/6
Expected answer: 13/6
Correct? Yes
Problem: Calculate the value of the following, given that e = 13/6: (13 / 2) * e. Write your final answer as a simplified fraction. This is a follow-up question to a previous problem.
DeepSeek Math 7B Base:
(13 / 2) * e = (13 / 2) * (13 / 6) = <<(13/2)*(13/6)=169/12>>169/12
Expected answer: 169/12
Correct? Yes
Problem: Calculate the value of the following, given the modification to the previous problem: (11 / 1) * (1 / 6). What happens to the result if instead of having 13 of an item as in the previous problem, you only had 11 of it now? Write your new final answer as a simplified fraction.
DeepSeek Math 7B Base:
(11 / 1) * (1 / 6) = <<(11/1)*(1/6)=11/6>>11/6
Expected answer: 11/6
Correct? Yes
Problem: What is the product when you multiply 25/20 and 11/6? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 25/20 * 11/6 = <<25/20*11/6=11/8>>11/8 ### Answer: 11/8
Expected answer: 55/24
Correct? No
Problem: Determine the value of (7 / 2) / (25 / 10). Please provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (7 / 2) / (25 / 10) = (7 / 2) * (10 / 25) = <<(7/2)*(10/25)=7/5>>7/5. ### Answer: 7/5
Expected answer: 7/5
Correct? Yes
Problem: After determining the value of ((7 / 2) / (25 / 10)), now calculate the result when this value is multiplied by (5 / 3). Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((7 / 2) / (25 / 10)) * (5 / 3) = (7 / 5) * (5 / 3) = <<(7/5)*(5/3)=7/3>>7/3. ### Answer: 7/3
Expected answer: 7/3
Correct? Yes
Problem: Calculate the multiplication of two fractions: Multiply 15/16 by 29/27. Give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 15/16 * 29/27 = <<15/16*29/27=145/144>>145/144. ### Answer: 145/144
Expected answer: 145/144
Correct? Yes
Problem: After calculating the multiplication of the fractions 15/16 by 29/27, multiply that answer by the fraction 27/4. What is the result as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 145/144 * 27/4 = <<145/144*27/4=145/16>>145/16. ### Answer: 145/16
Expected answer: 435/64
Correct? No
Problem: In the previous problem, you calculated the multiplication of the fractions 15/16 and 29/27. Now, let's imagine that you initially had a fraction with 15 as the numerator and 10 as the denominator instead of 15/16. How would the result differ if you multiply 15/10 by 29/27? Give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 15/10 * 29/27 = <<15/10*29/27=145/90>>145/90. ### Answer: 145/90
Expected answer: 29/18
Correct? Yes
Problem: Evaluate the following expression to find the answer: ((30 / 25) * (25 / 10)). Simplify your answer.
DeepSeek Math 7B Base:
Reasoning: ((30 / 25) * (25 / 10)) = <<(30/25)*(25/10)=3>>3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: After calculating the answer to ((30 / 25) * (25 / 10)), multiply your answer by (5 / 9). What is the result? Be sure to simplify your final answer.
DeepSeek Math 7B Base:
Reasoning: 3 * (5 / 9) = <<3*(5/9)=5/3>>(5/3). ### Answer: (5/3)
Expected answer: 5/3
Correct? Yes
Problem: Calculate the product of the fractions 27/10 and 27/3. Write your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: 27/10 * 27/3 = <<27/10*27/3=243/10>>243/10 243/10 = <<243/10=24.3>>24.3 ### Answer: 24.3
Expected answer: 243/10
Correct? Yes
Problem: First, calculate the product of the fractions 27/10 and 27/3. Then, multiply the result by 9/20. Write your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: 27/10 * 27/3 = <<27/10*27/3=243/10>>243/10 243/10 * 9/20 = <<243/10*9/20=2187/200>>2187/200 2187/200 = <<2187/200=10.935>>10.935 ### Answer: 10.935
Expected answer: 2187/200
Correct? Yes
Problem: First, calculate the product of the fractions 27/10 and 27/21, instead of 27/3 as we had in the previous question. Write your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: 27/10 * 27/21 = <<27/10*27/21=243/70>>243/70 243/70 = <<243/70=3.4714285714285714>>3.4714285714285714 ### Answer: 3.4714285714285714
Expected answer: 243/70
Correct? Yes
Problem: Calculate the result of the following operation: (10 / 8) * (30 / 26). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(10 / 8) * (30 / 26) = <<(10/8)*(30/26)=15/26>>15/26
Expected answer: 75/52
Correct? No
Problem: Evaluate the following expression: ((20 / 22) * (14 / 11)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
((20 / 22) * (14 / 11)) = <<(20/22)*(14/11)=140/242>>(140/242) 140/242 = <<140/242=70/121>>(70/121) ### Answer: 70/121
Expected answer: 140/121
Correct? No
Problem: Evaluate the following operation: ((25 / 8) * (3 / 4)) and write your answer as a simplified fraction. Does the result signify some form of division amongst a group or sharing something in portions?
DeepSeek Math 7B Base:
Reasoning: ((25 / 8) * (3 / 4)) = <<(25/8)*(3/4)=15/8>>15/8. 15/8 is the result of dividing 15 by 8. ### Answer: 15/8
Expected answer: 75/32
Correct? No
Problem: Calculate the value of the following expression as a decimal: (29 / 1) * (8 / 15).
DeepSeek Math 7B Base:
(29 / 1) * (8 / 15) = <<(29/1)*(8/15)=152/15>>152/15 = 10.133333333333334
Expected answer: 232/15
Correct? No
Problem: What is the result when you multiply (29/17) by (26/15)?
DeepSeek Math 7B Base:
Reasoning: (29/17) * (26/15) = <<(29/17)*(26/15)=106/255>>106/255 ### Answer: 106/255
Expected answer: 754/255
Correct? No
Problem: Calculate the value of the expression ((25 / 5) * (16 / 8)) and provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((25 / 5) * (16 / 8)) = (5 * 2) = <<5*2=10>>10. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous problem, we used the numbers 25 and 5, and 16 and 8 in our calculations. Now consider a slight change where we keep the '25 and '5', but instead of '16 and 8', we use '19 and 8'. Recalculate the value of k using this new information: ((25 / 5) * (19 / 8)). What is the value of k in this scenario?
DeepSeek Math 7B Base:
Reasoning: ((25 / 5) * (19 / 8)) = (5 * 2.375) = <<5*2.375=11.875>>11.875. ### Answer: 11.875
Expected answer: 95/8
Correct? Yes
Problem: What is the result when you multiply (23 / 4) by (10 / 12)? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (23 / 4) * (10 / 12) = (23 * 10) / (4 * 12) = <<23*10/4*12=230/48>>230/48. ### Answer: 230/48
Expected answer: 115/24
Correct? Yes
Problem: What would be the result if you changed the previous problem by multiplying (28 / 4) by (10 / 12) instead of (23 / 4) by (10 / 12)? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (28 / 4) * (10 / 12) = (28 * 10) / (4 * 12) = <<28*10/4*12=280/48>>280/48. ### Answer: 280/48
Expected answer: 35/6
Correct? Yes
Problem: Calculate the result of the following multiplication of fractions: (21 / 26) * (20 / 9). Write your answer in simplest form.
DeepSeek Math 7B Base:
(21 / 26) * (20 / 9) = <<(21/26)*(20/9)=70/39>>(70 / 39)
Expected answer: 70/39
Correct? Yes
Problem: Calculate the result of the following multiplication of fractions: (21 / 26) * (20 / 9). Write your answer in simplest form. Then, take that result and multiply it by the fraction (15 / 21). Write the final answer in simplest form.
DeepSeek Math 7B Base:
(21 / 26) * (20 / 9) = <<(21/26)*(20/9)=70/39>>(70 / 39) (70 / 39) * (15 / 21) = <<(70/39)*(15/21)=50/26>>(50 / 26)
Expected answer: 50/39
Correct? No
Problem: Recalculate the previous problem, but this time change the second fraction in the initial multiplication to (20 / 4) instead of (20 / 9). So, your new problem would be to calculate the result of the following multiplication of fractions: (21 / 26) * (20 / 4). Write your answer in simplest form.
DeepSeek Math 7B Base:
(21 / 26) * (20 / 4) = <<(21/26)*(20/4)=105/13>>(105 / 13)
Expected answer: 105/26
Correct? No
Problem: Calculate the following expression: ((17 / 13) * (15 / 6)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((17 / 13) * (15 / 6)) = <<(17/13)*(15/6)=17*15/13*6>>(17 * 15) / (13 * 6) = <<17*15/13*6=255/78>>255 / 78 = <<255/78=3*85/3*26>>3 * 85 / 3 * 26 = <<3*85/3*26=85/26>>85 / 26 = <<85/26=5*17/2*13>>5 * 17 / 2 * 13 = <<5*17/2*13=17/2*13>>17 / (2 * 13) = <<17/(2*13)=17/26>>17 / 26. ### Answer: 17/26
Expected answer: 85/26
Correct? No
Problem: Calculate the result of the following equation: (25 / 18) * (17 / 6). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
(25 / 18) * (17 / 6) = (25 * 17) / (18 * 6) = <<(25*17)/(18*6)=175/18>>175/18
Expected answer: 425/108
Correct? No
Problem: Calculate the result of multiplying 9 (which is a fraction equivalent to 9/1) by 2/17. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 9/1 * 2/17 = <<9/1*2/17=18/17>>18/17. ### Answer: 18/17
Expected answer: 18/17
Correct? Yes
Problem: After solving the earlier problem, you found a result by multiplying the fraction 9/1 by 2/17. Let's denote this result as t. Now, find what happens when you multiply the result with itself (t * t). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: t * t = <<9/1*2/17=18/17>>18/17 * 18/17 = <<18/17*18/17=324/289>>324/289. ### Answer: 324/289
Expected answer: 324/289
Correct? Yes
Problem: In the earlier problem, you multiplied the fraction 9/1 by 2/17. Now, we consider a similar scenario, but with a change: Instead of starting with 9 (or 9/1), you now start with 12 (or 12/1). Calculate the result of multiplying 12 by the fraction 2/17. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 12/1 * 2/17 = <<12/1*2/17=24/17>>24/17. ### Answer: 24/17
Expected answer: 24/17
Correct? Yes
Problem: Calculate the result of the multiplication: (27 / 14) * (19 / 14). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (27 / 14) * (19 / 14) = <<(27/14)*(19/14)=27*19/14*14=513/196>>513/196. ### Answer: 513/196
Expected answer: 513/196
Correct? Yes
Problem: Having found the value of z from the previous problem ((27 / 14) * (19 / 14)), now multiply your answer by the fraction 17/23. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (27 / 14) * (19 / 14) = <<(27/14)*(19/14)=27*19/14*14=513/196>>513/196. (513/196) * (17/23) = <<(513/196)*(17/23)=513*17/196*23=8721/4508>>8721/4508. ### Answer: 8721/4508
Expected answer: 8721/4508
Correct? Yes
Problem: Previously, you calculated the result of the multiplication (27 / 14) * (19 / 14). Now, what if instead of 27, we had a value of 15? So calculate the new result for the multiplication problem (15 / 14) * (19 / 14). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (15 / 14) * (19 / 14) = <<(15/14)*(19/14)=15*19/14*14=285/196>>285/196. ### Answer: 285/196
Expected answer: 285/196
Correct? Yes
Problem: Calculate the result for the expression: (16 / 5) * (5 / 15) and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (16 / 5) * (5 / 15) = <<(16/5)*(5/15)=16/15>>16/15 ### Answer: 16/15
Expected answer: 16/15
Correct? Yes
Problem: After finding the solution to the previous problem, which was (16 / 5) * (5 / 15), multiply your answer with the fraction (30 / 24) and again write your result as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (16 / 5) * (5 / 15) = <<(16/5)*(5/15)=16/15>>16/15 (16 / 15) * (30 / 24) = <<(16/15)*(30/24)=8/3>>8/3 ### Answer: 8/3
Expected answer: 4/3
Correct? No
Problem: The previous problem involved calculating an expression (16 / 5) * (5 / 15). But what if the situation changed slightly and instead of (16 / 5) * (5 / 15), you now have to calculate (16 / 5) * (5 / 7). What would the result be now? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (16 / 5) * (5 / 7) = <<(16/5)*(5/7)=16/7>>16/7 ### Answer: 16/7
Expected answer: 16/7
Correct? Yes
Problem: Calculate the result of the following fraction multiplication: (8 / 3) * (18 / 21). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (8 / 3) * (18 / 21) = (8 * 18) / (3 * 21) = <<8*18=144>>144 / <<3*21=63>>63 = <<144/63=2.2857142857142856>>2 28/63. ### Answer: 2 28/63
Expected answer: 16/7
Correct? No
Problem: Evaluate the following expression and write the answer as a simplified fraction: ((14 / 6) / (22 / 16))
DeepSeek Math 7B Base:
Reasoning: ((14 / 6) / (22 / 16)) = (14 / 6) * (16 / 22) = (14 * 16) / (6 * 22) = <<14*16=224>>224 / <<6*22=132>>132 = <<224/132=1.696969696969697>>1.696969696969697 ### Answer: 1.696969696969697
Expected answer: 56/33
Correct? Yes
Problem: Based on the previous problem, you found the value of r by evaluating the fraction ((14 / 6) / (22 / 16)). For this problem, multiply the result you obtained previously by 9/4 and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 1.696969696969697 * (9 / 4) = <<1.696969696969697*9=15.272727272727272>>15.272727272727272 / <<4=4>>4 = <<15.272727272727272/4=3.818181818181818>>3.818181818181818 ### Answer: 3.818181818181818
Expected answer: 42/11
Correct? No
Problem: In the previous problem, we evaluated the expression (14 / 6) / (22 / 16). Now, suppose we changed the 14/6 to 13. How would this change the result? Evaluate the new expression, 13 / (22 / 16), and write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 13 / (22 / 16) = 13 * (16 / 22) = (13 * 16) / 22 = <<13*16=208>>208 / 22 = <<208/22=9.454545454545455>>9.454545454545455 ### Answer: 9.454545454545455
Expected answer: 104/11
Correct? Yes
Problem: Calculate the result of the following fraction multiplication: (16 / 3) * (25 / 26)
DeepSeek Math 7B Base:
(16 / 3) * (25 / 26) = (16 * 25) / (3 * 26) = <<(16*25)/(3*26)=100/39>>100/39
Expected answer: 200/39
Correct? No
Problem: Solve the following problem, writing the answer as a simplified fraction: (16 / 16) * (26 / 22)
DeepSeek Math 7B Base:
Reasoning: (16 / 16) * (26 / 22) = <<(16/16)*(26/22)=13/11>>13/11 ### Answer: 13/11
Expected answer: 13/11
Correct? Yes
Problem: Now, consider what happens when you square the result of the previous problem. Solve for (a * a), where 'a' is the answer to the previous problem: (16 / 16) * (26 / 22). Write the answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (13/11) * (13/11) = <<(13/11)*(13/11)=169/121>>169/121 ### Answer: 169/121
Expected answer: 169/121
Correct? Yes
Problem: Now, modify the previous problem by changing the numerator of the first fraction. Instead of following the first procedure using (16 / 16), consider what would happen if we used (16 / 12) instead. Solve (16 / 12) * (26 / 22) and write the result as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (16 / 12) * (26 / 22) = <<(16/12)*(26/22)=13/9>>13/9 ### Answer: 13/9
Expected answer: 52/33
Correct? No
Problem: Calculate the result of the following operation: (17 / 5) * (5 / 14). Write your answer as a simplest form fraction.
DeepSeek Math 7B Base:
(17 / 5) * (5 / 14) = (17 * 5) / (5 * 14) = 17 / 14 = <<17/14=1.2142857142857142857142857142857>>1.2142857142857142857142857142857
Expected answer: 17/14
Correct? Yes
Problem: After calculating the result of the previous operation: (17 / 5) * (5 / 14), now take that result and multiply it by the fraction 21 / 25. What is your final answer, written as a simplified fraction?
DeepSeek Math 7B Base:
(17 / 5) * (5 / 14) = 17 / 14 = <<17/14=1.2142857142857142857142857142857>>1.2142857142857142857142857142857 (17 / 14) * (21 / 25) = (17 * 21) / (14 * 25) = 357 / 350 = <<357/350=1.02>>1.02 ### Answer: 1.02
Expected answer: 51/50
Correct? Yes
Problem: After performing the prior operation: (17 / 5) * (5 / 14), consider what would happen if instead of multiplying the value by 5 / 14, we multiplied it by 5 / 12. What would be the result, written as a simplified fraction, in this case?
DeepSeek Math 7B Base:
(17 / 5) * (5 / 12) = (17 * 5) / (5 * 12) = 17 / 12 = <<17/12=1.4166666666666666666666666666667>>1.4166666666666666666666666666667
Expected answer: 17/12
Correct? Yes
Problem: What is the fraction you get when you multiply (16 / 6) with (29 / 27)? Write your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: (16/6) * (29/27) = <<(16/6)*(29/27)=104/81>>104/81. ### Answer: 104/81
Expected answer: 232/81
Correct? No
Problem: If a car consumes 16/10 gallons of petrol every mile and you have to drive a route that is 13/17 of a mile long, how many gallons of petrol will the car have consumed when you finish the drive? Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: The car will consume 16/10 * 13/17 = <<16/10*13/17=104/170>>104/170 gallons of petrol. ### Answer: 104/170
Expected answer: 104/85
Correct? No
Problem: Calculate the result of the following problem and express your answer as a simplified fraction: (29 / 10) / (18 / 16)
DeepSeek Math 7B Base:
Reasoning: (29 / 10) / (18 / 16) = (29 / 10) * (16 / 18) = <<(29/10)*(16/18)=29*16/10*18=464/180>>464/180 = <<464/180=232/90>>232/90 = <<232/90=116/45>>116/45. ### Answer: 116/45
Expected answer: 116/45
Correct? Yes
Problem: Suppose you took the result of the previous problem ((29 / 10) / (18 / 16)) and then you further multiplied this result by (8 / 17). Calculate this new result and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (29 / 10) / (18 / 16) = (29 / 10) * (16 / 18) = <<(29/10)*(16/18)=29*16/10*18=464/180>>464/180 = <<464/180=232/90>>232/90 = <<232/90=116/45>>116/45. (116/45) * (8 / 17) = <<(116/45)*(8/17)=116*8/45*17=928/765>>928/765. ### Answer: 928/765
Expected answer: 928/765
Correct? Yes
Problem: Jeremy is trying to solve a complex fraction problem. He needs to find out the result of multiplying (15/12) by (27/3). Can you help Jeremy solve this problem? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (15/12) * (27/3) = (15*27)/(12*3) = <<(15*27)/(12*3)=3375/36>>3375/36. ### Answer: 3375/36
Expected answer: 45/4
Correct? No
Problem: Calculate the answer to the following math problem: (7 / 7) * (12 / 12)
DeepSeek Math 7B Base:
(7 / 7) * (12 / 12) = 1 * 1 = 1
Expected answer: 1
Correct? Yes
Problem: Given your previous answer, now multiply it by the fraction 27/15. What is the resulting value when simplified?
DeepSeek Math 7B Base:
1 * (27/15) = 27/15 = 3/5
Expected answer: 9/5
Correct? Yes
Problem: In your previous calculation where you multiplied (7 / 7) * (12 / 12), what if instead of 12 in the denominator of the second fraction you have 16? What would be the result of the expression (7 / 7) * (16 / 12)?
DeepSeek Math 7B Base:
(7 / 7) * (16 / 12) = 1 * (16 / 12) = 16 / 12 = 1.3333333333333333
Expected answer: 4/3
Correct? Yes
Problem: Find the result of ((28 / 6) * (16 / 24)). Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((28 / 6) * (16 / 24)) = <<(28/6)*(16/24)=7/3>>(7/3). ### Answer: 7/3
Expected answer: 28/9
Correct? No