Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).

DeepSeek Coder 33B:

The sum of (74 / 63) and (91 / 78) can be calculated by adding the numerators and the denominators separately.

First, add the numerators: 74 + 91 = <<74+91=165>>165

Then, add the denominators: 63 + 78 = <<63+78=141>>141

The sum of (74 / 63) and (91 / 78) is 165 / 141.

To find the value of the sum, we can simplify the fraction.

First, find the greatest common divisor (GCD) of 165 and 141.

The GCD of 165 and 141 is 1.

Then, divide both the numerator and the denominator by the GCD to get the simplified fraction.

165 / 141 = <<165/141=1.169811320754717>>1.169811320754717

Therefore, the sum of (74 / 63) and (91 / 78) is 1.169811320754717.

Expected answer: 295/126

Correct? No

Problem: What is the result of adding 94/5 to 1/25?

DeepSeek Coder 33B:

Reasoning: 
First, we need to simplify the fractions. 
94/5 = 18.8 and 1/25 = 0.04.
Then, we add these two numbers together.
18.8 + 0.04 = 18.84.
### Answer: 18.84

Expected answer: 471/25

Correct? Yes

Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to a common denominator. We can do this by multiplying each fraction by the least common multiple of the denominators.

The least common multiple of 20 and 8 is 40.

So, we multiply 48/20 by 20/40 to get 24/10, and 49/8 by 8/40 to get 73/20.

Now we can subtract 24/10 from 73/20.

73/20 - 24/10 = 73/20 - 12/5 = 5/5 - 12/5 = 5/5 - 24/5 = -19/5.

However, this is not a simplified fraction. To simplify it, we divide both the numerator and the denominator by the greatest common divisor (GCD).

The GCD of 5 and 19 is 1. So, the simplified answer is -19/5.

Therefore, the result of subtracting 48/20 from 49/8 is -19/5.

Expected answer: 149/40

Correct? No

Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).

DeepSeek Coder 33B:

The expression ((45 / 5) - (6 / 47)) can be calculated as follows:

First, we perform the division operations:

45 / 5 = 9
6 / 47 = 0.12766

Then, we subtract the second result from the first:

9 - 0.12766 = 8.87234

Therefore, the value of the expression ((45 / 5) - (6 / 47)) is 8.87234.

Expected answer: 417/47

Correct? No

Problem: What is the sum of 22/49 and 72/35? Provide your answer as a simplified fraction.

DeepSeek Coder 33B:

Reasoning: To add fractions, we need to make sure that they have the same denominator. We can do this by multiplying each fraction by the product of the other denominator.

So, we multiply 22/49 by 35/35 to get 22*35/49*35 = 22*35^2/49*35 = 22*1225/1845 = 26900/1845.

Then, we multiply 72/35 by 49/49 to get 72*49/35*49 = 72*2401/35*49 = 72*2401/1845.

Then, we add the two fractions: 26900/1845 + 72*2401/1845 = <<26900+72*2401=26900+1712401=1989001>>1989001/1845.

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1989001 and 1845 is 1. So, the sum of 22/49 and 72/35 is 1989001/1845.

Expected answer: 614/245

Correct? No

Problem: What is the result of (39 / 9) - (44 / 69)?

DeepSeek Coder 33B:

The result of (39 / 9) - (44 / 69) is calculated as follows:

First, we perform the division operations:

39 / 9 = 4.333333333333333
44 / 69 = 0.6304347826086957

Then, we subtract the second result from the first:

4.333333333333333 - 0.6304347826086957 = 3.702899999999999

Therefore, the result of (39 / 9) - (44 / 69) is 3.702899999999999.

Expected answer: 85/23

Correct? No

Problem: Calculate the sum of 49/79 and 18/21.

DeepSeek Coder 33B:

Reasoning: First, we need to find the common denominator. The common denominator is 79*21 = <<79*21=1661>>1661.

Then, we can calculate the sum of 49/79 and 18/21.

49/79 = 49*21/79*21 = <<49*21=1019>>1019/1661 and 18/21 = 18*79/21*79 = <<18*79=1401>>1401/1661.

The sum of 49/79 and 18/21 is 1019/1661 + 1401/1661 = <<1019/1661+1401/1661=2420/1661>>2420/1661.

So, the sum of 49/79 and 18/21 is 2420/1661.

Expected answer: 817/553

Correct? No

Problem: What is the sum of 95/46 and 65/31?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions a/b and c/d is (ad + bc)/bd.
So, the sum of 95/46 and 65/31 is (95*31 + 46*65)/(46*31) = <<(95*31 + 46*65)/(46*31)=110.3871>>110.3871.
### Answer: 110.3871

Expected answer: 5935/1426

Correct? No

Problem: What is the sum of 25 over 63 and 74 over 6?

DeepSeek Coder 33B:

Reasoning: The sum of 25 over 63 and 74 over 6 is equivalent to 25/63 + 74/6.

Python code:

```python
result = 25/63 + 74/6
print(result)
```

Running the code will give the result.

Expected answer: 802/63

Correct? No

Problem: What is the sum of 79/91 and 100/47?

DeepSeek Coder 33B:

Reasoning: First, we need to find the common denominator. The common denominator is the least common multiple of the denominators of the two fractions. The least common multiple of 91 and 47 is 4277.

We then convert the fractions to have the same denominator. The conversion for 79/91 is 79*(4277/91) = <<79*(4277/91)=359333>>359333. The conversion for 100/47 is 100*(4277/47) = <<100*(4277/47)=91540>>91540.

The sum of the two converted fractions is 359333 + 91540 = <<359333+91540=450873>>450873.

Finally, we convert the sum back to the original denominator. The sum is 450873/4277 = <<450873/4277=106.75>>106.75.

Therefore, the sum of 79/91 and 100/47 is 106.75.

Expected answer: 12813/4277

Correct? No

Problem: What is the result of ((55 / 47) + (72 / 21))?

DeepSeek Coder 33B:

The result of ((55 / 47) + (72 / 21)) is ((55 / 47) + (72 / 21)).

Expected answer: 1513/329

Correct? Yes

Problem: What is the sum of 86/62 and 99/41?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions a/b and c/d is (ad + bc)/bd.
So, the sum of 86/62 and 99/41 is (86*41 + 62*99)/(62*41) = <<(86*41 + 62*99)/(62*41)=3337/2542>>3337/2542.
### Answer: 3337/2542

Expected answer: 4832/1271

Correct? No

Problem: Calculate the sum of 87/88 and 24/13.

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. We can use the least common multiple (LCM) of 88 and 13, which is 1092.

Then, we can convert the fractions to have the same denominator.

87/88 * 1092/88 = 1092/92
24/13 * 1092/13 = 1092/169

The sum of these two fractions is 1092/92 + 1092/169.

To simplify this, we can cross-multiply and add the numerators.

1092/92 + 1092/169 = 1092/92 + 546/92 = 1638/92

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

The GCD of 1638 and 92 is 18.

So, 1638/92 = 1638/18/92 = 92/18 = 5.

Therefore, the sum of 87/88 and 24/13 is 5.

Expected answer: 3243/1144

Correct? No

Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.

DeepSeek Coder 33B:

The expression ((68 / 33) + (70 / 25)) can be simplified as follows:

First, we simplify the fractions:

68 / 33 = 2.121212121212121

70 / 25 = 2.8

Then, we add the two simplified fractions:

2.121212121212121 + 2.8 = 4.92121212121212

Therefore, ((68 / 33) + (70 / 25)) = 4.92121212121212.

However, this is not in its simplest form. To simplify it further, we can multiply the numerator and the denominator of the result by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Expected answer: 802/165

Correct? No

Problem: What is the summation of 35/97 and 11/9? Express the result in simplest form.

DeepSeek Coder 33B:

The summation of 35/97 and 11/9 can be calculated by adding the numerators and the denominators separately.

The sum of the numerators is 35 + 11 = <<35+11=46>>46.
The sum of the denominators is 97 + 9 = <<97+9=106>>106.

The sum of 35/97 and 11/9 in simplest form is 46/106.

Expected answer: 1382/873

Correct? No

Problem: What is the result of subtracting 79/70 from 11/5?

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to a common denominator. We can do this by multiplying each fraction by the product of the denominators.

So, 79/70 * 5/5 = 79/70 * 1 = 79/70.
Similarly, 11/5 * 70/70 = 11/5 * 1 = 11/5.

Now, we can subtract the second fraction from the first.

So, 79/70 - 11/5 = 79/70 - 11/5 = 79/70 - 11/5 = 68/70.

The result is 68/70.

Expected answer: 15/14

Correct? No

Problem: What is the sum of 68/16 and 52/78?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is the least common multiple of the denominators of the two fractions. The least common multiple of 16 and 78 is 112.

So, we need to convert the fractions to have the same denominator.

68/16 becomes 4.5 * 112/16 = 660
52/78 becomes 6.67 * 112/78 = 716.84

The sum of these two numbers is 660 + 716.84 = <<660+716.84=1376.84>>1376.84.

However, the problem asks for the sum of the fractions, not the sum of the decimal equivalents. So, we need to convert the sum back to a fraction.

1376.84 becomes 1376.84/112 = <<1376.84/112=12.32>>12.32.

So, the sum of 68/16 and 52/78 is 12.32.

Expected answer: 59/12

Correct? No

Problem: Find the sum of 21/75 and 44/47.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of the denominators of the two fractions, which is 75*47 = <<75*47=3525>>3525.

Then, we can add the numerators of the two fractions. The numerator of the first fraction is 21*47 = <<21*47=997>>997, and the numerator of the second fraction is 44*75 = <<44*75=3300>>3300.

So, the sum of the two fractions is (997+3300)/3525 = <<(997+3300)/3525=1327/1875>>1327/1875.

However, this is not in its simplest form. To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1327 and 1875, respectively.

The greatest common divisor of 1327 and 1875 is 1, so the fraction is already in its simplest form.

So, the sum of 21/75 and 44/47 is 1327/1875.

Expected answer: 1429/1175

Correct? No

Problem: Calculate the result of (77/5 + 4/11).

DeepSeek Coder 33B:

The result of (77/5 + 4/11) is calculated as follows:

First, we perform the division operation in the parentheses. 77/5 = 15.4 and 4/11 = 0.36363636363636365.

Then, we add the results of the division operation. 15.4 + 0.36363636363636365 = 15.763636363636363.

Therefore, the result of (77/5 + 4/11) is 15.763636363636363.

Expected answer: 867/55

Correct? No

Problem: What's the sum of 60/48 and 37/47?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions is calculated by adding the numerators and keeping the same denominator.
60/48 + 37/47 = <<(60*47 + 37*48)/(48*47)=107/2208>>107/2208.
### Answer: 107/2208

Expected answer: 383/188

Correct? No

Problem: Solve ((14 / 72) + (25 / 6)).

DeepSeek Coder 33B:

Reasoning: We can solve this problem by adding the two fractions together.

(14 / 72) + (25 / 6) = (14 * 2) / (72 * 2) + (25 / 6) = (28 / 144) + (25 / 6) = (28 * 6 + 25 * 144) / (144 * 6) = (168 + 3600) / 864 = <<4168/864>>4168/864.

So, ((14 / 72) + (25 / 6)) = <<4168/864>>4168/864.

Expected answer: 157/36

Correct? No

Problem: What is the sum of 84/97 and 25/2?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. We can use the least common multiple (LCM) of 97 and 2, which is 194.

Then, we can convert the fractions to have the same denominator.

84/97 becomes (194/97)*84 = <<(194/97)*84=162.52>>162.52
25/2 becomes (194/2)*25 = <<(194/2)*25=482.5>>482.5

The sum of these two numbers is 162.52 + 482.5 = <<162.52+482.5=645.02>>645.02.

However, the problem asks for the sum of the fractions, not the decimal equivalent. So, we need to convert the sum back to a fraction.

The sum of 84/97 and 25/2 is 645.02/194 = <<645.02/194=3.325>>3.325.

Expected answer: 2593/194

Correct? No

Problem: What is the difference between the fractions 66/20 and 4/78?

DeepSeek Coder 33B:

First, we need to convert the fractions to have the same denominator. We can do this by multiplying each fraction by the least common multiple of the denominators.

The least common multiple of 20 and 78 is 780.

So, we multiply 66/20 by 780/20 = <<780/20=39>>39 and 4/78 by 780/78 = <<780/78=10>>10.

The difference between the two fractions is then 39*66/39 - 10*4 = <<39*66-10*4=2282>>2282/39.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 2282 and 39 is 1.

So, the difference between the fractions 66/20 and 4/78 is 2282/39 = <<2282/39=58>>58.

Expected answer: 1267/390

Correct? No

Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.

DeepSeek Coder 33B:

The expression can be calculated as follows:

83 divided by 37 minus 12 divided by 14 = (83/37) - (12/14)

Let's calculate it:

83/37 = 2.2647058823529413
12/14 = 0.8571428571428571

2.2647058823529413 - 0.8571428571428571 = 1.4075630252116742

Therefore, the expression 83 divided by 37 minus 12 divided by 14 equals 1.4075630252116742.

Expected answer: 359/259

Correct? No

Problem: What is the sum of 95/57 and 28/80?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is 57*80 = <<57*80=4590>>4590.

Then, we can add the numerators. 95*80 + 28*57 = <<95*80+28*57=7660+1576=9236>>9236.

Finally, we divide the sum by the common denominator. 9236/4590 = <<9236/4590=2.01>>2.01.

So, the sum of 95/57 and 28/80 is 2.01.

Expected answer: 121/60

Correct? No

Problem: Calculate the sum of 14/57 and 92/42.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of 57 and 42, which is 249.

We can then convert the fractions to have the same denominator by multiplying each fraction by the multiplier to get the equivalent fraction with the common denominator.

14/57 * 249/57 = 249/57
92/42 * 249/42 = 249/42

Now we can add the numerators together to get the sum.

249/57 + 249/42 = <<249/57+249/42=1443/249+1140/249=2583/249>>2583/249.

The final answer is 2583/249.

Expected answer: 324/133

Correct? No

Problem: What is the result of ((77 / 55) + (6 / 5))?

DeepSeek Coder 33B:

The result of ((77 / 55) + (6 / 5)) is ((77 / 55) + (1.2)).

First, we calculate the division of 77 by 55. This gives us 1.4.

Then, we calculate the division of 6 by 5. This gives us 1.2.

Finally, we add the results of the two divisions together. This gives us 1.4 + 1.2 = <<1.4+1.2=2.6>>2.6.

Expected answer: 13/5

Correct? Yes

Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?

DeepSeek Coder 33B:

The value of (56 / 8) + (90 / 86) can be calculated as follows:

First, we perform the division operations:

56 / 8 = <<56/8=7>>7
90 / 86 = <<90/86=0.9912280701754386>>0.9912280701754386

Then, we add the results together:

7 + 0.9912280701754386 = <<7+0.9912280701754386=7.991228070175438>>7.991228070175438

So, the value of (56 / 8) + (90 / 86) is 7.991228070175438.

Expected answer: 346/43

Correct? No

Problem: What is the sum of 23/20 and 82/97?

DeepSeek Coder 33B:

Reasoning: To add fractions, we need to make sure they have the same denominator. We can do this by multiplying each fraction by the product of the other denominator.

So, we multiply 23/20 by 97/97 (which is 1) and 82/97 by 20/20 (which is 1) to get 23/20 and 82/97.

Then we add the numerators together: 23 + 82 = <<23+82=105>>105.

Finally, we divide the sum of the numerators by the common denominator, which is 20*97 = <<20*97=194>>194.

So, 23/20 + 82/97 = <<105/194>>0.532.

Expected answer: 3871/1940

Correct? No

Problem: Calculate the sum of 54/88 and 28/10.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. We can use the least common multiple (LCM) of 88 and 10, which is 440.

Then, we can convert the fractions to have the same denominator.

54/88 = 54/88 * (440/88) = 54 * (440/88) = <<54*(440/88)=230>>230/440

28/10 = 28/10 * (440/10) = 28 * (440/10) = <<28*(440/10)=1120>>1120/440

Finally, we can add the two fractions.

230/440 + 1120/440 = <<230/440+1120/440=1350/440>>1350/440

So, the sum of 54/88 and 28/10 is 1350/440.

Expected answer: 751/220

Correct? No

Problem: What is the result of the following operation: 7 / 69 + 71 / 47?

DeepSeek Coder 33B:

The operation is performed in the following order: division and multiplication (BIDMAS/BODMAS/PEDMAS).

First, we perform the division operations: 7 / 69 = 0.1 and 71 / 47 = 1.5.

Then, we perform the addition operation: 0.1 + 1.5 = 1.6.

So, the result of the operation 7 / 69 + 71 / 47 is 1.6.

Expected answer: 5228/3243

Correct? No

Problem: What is the sum of 15/32 and 65/15?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The denominators of 15/32 and 65/15 are 32 and 15, respectively. The least common multiple of 32 and 15 is 160.

We can then convert the fractions to have the same denominator by multiplying each fraction by the appropriate number.

15/32 * 160/32 = 15 * 160/32 = 480/32
65/15 * 160/15 = 65 * 160/15 = 10400/15

The sum of these two fractions is 10400/15 + 480/32.

To simplify this fraction, we can cross-multiply:

10400 * 32 = 332800
480 * 15 = 7200

So, 10400/15 + 480/32 = 332800/15 + 7200/32 = 332800/15 + 2400/1 = 335200/15.

Finally, to reduce this fraction to its lowest terms, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 335200 and 15 is 15.

So, 335200/15 = 22352/1 = 22352.

Therefore, the sum of 15/32 and 65/15 is 22352.

Expected answer: 461/96

Correct? No

Problem: What is the sum of 4/31 and 76/11?

DeepSeek Coder 33B:

Reasoning: To add fractions, we need to make sure they have the same denominator. We can do this by multiplying each fraction by the least common multiple of their denominators.

The least common multiple of 31 and 11 is 341.

So, we multiply 4/31 by 341/31 = <<341/31=11>>11 and 76/11 by 341/11 = <<341/11=31>>31.

The sum is 11*4 + 31*76 = <<11*4+31*76=2446>>2446.

The sum of 4/31 and 76/11 is 2446.

Expected answer: 2400/341

Correct? No

Problem: What is the sum when you add 82/15 to 100/12?

DeepSeek Coder 33B:

Reasoning: First, we need to find the common denominator. The common denominator is the least common multiple of 15 and 12, which is 60.

So, we need to convert 82/15 and 100/12 to have the same denominator.

82/15 = 54/10
100/12 = 50/6

Now, we can add these two fractions.

54/10 + 50/6 = <<54/10+50/6=104/10=10.4>>10.4

Therefore, the sum of 82/15 and 100/12 is 10.4.

Expected answer: 69/5

Correct? No

Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.

DeepSeek Coder 33B:

The expression ((92 / 29) + (41 / 33)) can be calculated as follows:

First, we calculate the value of each fraction separately:

(92 / 29) = 3.16

(41 / 33) = 1.24

Then, we add these two values together:

3.16 + 1.24 = 4.4

Therefore, the result of the expression ((92 / 29) + (41 / 33)) is 4.4.

Expected answer: 4225/957

Correct? No

Problem: What is the sum of 57/29 and 14/98?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is the least common multiple of the denominators of the two fractions, which is 29*98 = <<29*98=2852>>2852.

Then, we can add the numerators of the two fractions. The numerator of the first fraction is 57*98 = <<57*98=5612>>5612, and the numerator of the second fraction is 14*29 = <<14*29=406>>406.

So, the sum of the two fractions is (5612 + 406) / 2852 = <<(5612 + 406) / 2852=23/1426>>23/1426.

However, this is not in its simplest form. To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 23.

So, the sum of 57/29 and 14/98 is 23/1426 = <<23/1426>>23/1426.

Expected answer: 428/203

Correct? No

Problem: Solve the given expression: 70/25 + 83/28.

DeepSeek Coder 33B:

The expression 70/25 + 83/28 can be solved by first simplifying each fraction, then adding the results together.

First, we simplify 70/25:
70/25 = 70/5 = 14

Next, we simplify 83/28:
83/28 = 83/7 * 4/14 = 27 * 4/14 = 108/14 = 3 * 36/35 = 108/35

Finally, we add the results together:
14 + 108/35 = 14 + 3 * 36/35 = 14 + 36/35 = 14 + 12/35 = 106/35

So, 70/25 + 83/28 = 106/35.

Expected answer: 807/140

Correct? No

Problem: What is the result of adding the fractions 50/73 and 20/23?

DeepSeek Coder 33B:

Reasoning: To add fractions, you need to make sure they have the same denominator. So, we will multiply the first fraction by 23/23 (the denominator of the second fraction) and the second fraction by 73/73 (the denominator of the first fraction).

50/73 * 23/23 + 20/23 * 73/73

Then, we will add the numerators together and keep the denominator as 73*23.

50*23/73*23 + 20*73/23*73

Finally, we simplify the result.

1150/5119 + 1460/5119

The result is 2610/5119.

In Python, you can use the fractions module to simplify the result:

```python
from fractions import Fraction

result = Fraction(1150, 5119) + Fraction(1460, 5119)
print(result)
```

This will output: 2610/5119.

Expected answer: 2610/1679

Correct? No

Problem: What is the value of ((49 / 57) + (89 / 99))?

DeepSeek Coder 33B:

The value of ((49 / 57) + (89 / 99)) can be calculated as follows:

First, we calculate the value of 49 / 57 and 89 / 99 separately.

49 / 57 = 0.8596491228070176
89 / 99 = 0.9

Then, we add these two values together.

0.8596491228070176 + 0.9 = 1.7596491228070177

So, the value of ((49 / 57) + (89 / 99)) is 1.7596491228070177.

Expected answer: 3308/1881

Correct? No

Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.

DeepSeek Coder 33B:

First, we need to perform the division operations.

94 / 35 = 2.6857142857142856
23 / 49 = 0.4693877551020408

Then, we subtract the second result from the first.

2.6857142857142856 - 0.4693877551020408 = 2.216326530612245

Therefore, the result of 94 / 35 - 23 / 49 is 2.216326530612245.

However, this is not a simplified fraction. To simplify it, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 2.216326530612245 is 1. This means that 2.216326530612245 is already a simplified fraction.

So, the result of 94 / 35 - 23 / 49 is 2.216326530612245.

Expected answer: 543/245

Correct? Yes

Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of the denominators of the two fractions, which is 30*37 = <<30*37=1110>>1110.

Then, we can add the numerators of the two fractions after adjusting them to the common denominator.

58/30 * 1110/30 = <<58/30*1110/30=19640/30>>19640/30
49/37 * 1110/37 = <<49/37*1110/37=18330/37>>18330/37

The sum of the two fractions is 19640/30 + 18330/37 = <<19640/30+18330/37=19640/30+18330/37=119940/1110>>119940/1110.

To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 1110.

119940/1110 = 1110/1110 = <<119940/1110=1110/1110=1110/1110>>1110.

So, the sum of 58/30 and 49/37 is 1110.

Expected answer: 1808/555

Correct? No

Problem: Calculate the sum of 45/53 and 71/50.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of 53 and 50, which is 2650.

We can then convert the fractions to have the same denominator by multiplying each fraction by the multiplier to get the equivalent fraction with the common denominator.

45/53 * 2650/53 = 24750/2650
71/50 * 2650/50 = 2650/250 = 106

The sum of the two fractions is 24750/2650 + 106/2650 = 25816/2650.

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

25816/6 = 4302.666666666667
2650/6 = 441.6666666666667

So, the sum of 45/53 and 71/50 is 4302.666666666667/441.6666666666667.

However, this is not the simplest form of the fraction. To simplify further, we can divide both the numerator and the denominator by 2.

4302.666666666667/2 = 2151.333333333333
441.6666666666667/2 = 220.83333333333335

So, the sum of 45/53 and 71/50 is 2151.333333333333/220.83333333333335.

Expected answer: 6013/2650

Correct? No

Problem: Calculate the sum of 36/72 and 49/1.

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to have the same denominator. 
36/72 = 4/9 and 49/1 = 49/1.
Then, we add the numerators together.
4/9 + 49/1 = 4/9 + 49 = <<4+49=53>>53/9.
Finally, we simplify the fraction.
53/9 = 7 and 3/9.
Therefore, the sum of 36/72 and 49/1 is 7 3/9.

Expected answer: 99/2

Correct? No

Problem: What is the sum of 61/20 and 29/15?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. We can use the least common multiple (LCM) of 20 and 15, which is 60.

So, 61/20 becomes 61/20 * 60/60 = <<61/20*60/60=610/1200=5.166666666666667>>5.166666666666667.

And 29/15 becomes 29/15 * 60/60 = <<29/15*60/60=200/1200=1.666666666666667>>1.666666666666667.

The sum of these two numbers is 5.166666666666667 + 1.666666666666667 = <<5.166666666666667+1.666666666666667=6.833333333333333>>6.833333333333333.

So, the sum of 61/20 and 29/15 is 6.833333333333333.

Expected answer: 299/60

Correct? No

Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.

DeepSeek Coder 33B:

The expression ((33 / 90) + (77 / 79)) can be calculated as follows:

First, we calculate the values of the two fractions:

(33 / 90) = 33 / 90 = 0.3666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Expected answer: 3179/2370

Correct? No

Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. We can use the least common multiple (LCM) of 79 and 6, which is 474.

To convert the fractions to have the same denominator, we multiply each fraction by the LCM divided by its original denominator.

30/79 * 474/79 = 100
29/6 * 474/6 = 1080

The sum of these two fractions is 100 + 1080 = <<100+1080=1180>>1180.

To convert this sum to a fraction, we divide by the LCM.

1180 / 474 = <<1180/474=2.48>>2.48

So, the sum of 30/79 and 29/6 is 2.48.

Expected answer: 2471/474

Correct? No

Problem: What is the answer when you subtract 11/66 from 59/2?

DeepSeek Coder 33B:

Reasoning: 
First, convert the fractions to decimals.
11/66 = <<11/66=0.16972477064220183>>0.16972477064220183
59/2 = <<59/2=29.5>>29.5

Then, subtract the first decimal from the second decimal.
29.5 - 0.16972477064220183 = <<29.5-0.16972477064220183=29.330275229357798>>29.330275229357798

Therefore, the answer when you subtract 11/66 from 59/2 is 29.330275229357798.

Expected answer: 88/3

Correct? No

Problem: Consider these two fractions: 58/23 and 25/26. What is the sum when those two fractions are added together?

DeepSeek Coder 33B:

The sum of two fractions a/b and c/d is (a*d + b*c) / (b*d).

So, the sum of 58/23 and 25/26 is (58*26 + 23*25) / (23*26) = <<58*26+23*25=1570+625=2295>>2295 / <<23*26=558>>558 = <<2295/558=4.087>>4.087.

Expected answer: 2083/598

Correct? No

Problem: Calculate the sum of the fractions 70/13 and 17/52.

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is the least common multiple of 13 and 52, which is 65.

To convert the fractions to have the same denominator, we multiply each fraction by the multiplier to get the equivalent fraction with the common denominator.

70/13 becomes 70/13 * (65/13) = 490/65
17/52 becomes 17/52 * (65/52) = 17/52 * 13 = 241/65

The sum of the two fractions is 490/65 + 241/65.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 490 and 241 is 17.

So, the sum of the fractions 70/13 and 17/52 is (490 + 241)/17 = 1301/17.

To find the decimal equivalent, we divide the numerator by the denominator: 1301/17 = 75.1764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823

Expected answer: 297/52

Correct? No

Problem: What is the sum of 78/44 and 17/91?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions is calculated by adding the numerators and the denominators separately.

So, 78/44 + 17/91 = (78*91 + 17*44) / (44*91) = <<(78*91 + 17*44) / (44*91)=1133/3979>>1133/3979.

Expected answer: 3923/2002

Correct? No

Problem: What is the sum of 43/4 and 71/4?

DeepSeek Coder 33B:

Reasoning: The sum of 43/4 and 71/4 is 43/4 + 71/4 = <<43/4+71/4=114/4=28.5>>28.5.
### Answer: 28.5

Expected answer: 57/2

Correct? Yes

Problem: What is the result of adding the fractions 17/74 and 53/27?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is the least common multiple of 74 and 27, which is 74*27 = <<74*27=2058>>2058.

We can then convert the fractions to have the same denominator by multiplying each fraction by the product of the denominator and the other fraction's denominator divided by itself.

17/74 * 2058/74 = <<17/74*2058/74=512>>512
53/27 * 2058/27 = <<53/27*2058/27=10440>>10440

The sum of the two converted fractions is 512 + 10440 = <<512+10440=10952>>10952.

To find the result as a simplified fraction, we divide the numerator by the greatest common divisor of the numerator and the denominator. The greatest common divisor of 10952 and 2058 is 142.

So, 17/74 + 53/27 = 10952/2058 = <<10952/2058=53/21>>53/21.

Expected answer: 4381/1998

Correct? No

Problem: Compute the value of (76/76) + (96/16).

DeepSeek Coder 33B:

The value of (76/76) + (96/16) can be computed as follows:

First, we simplify the fractions:

(76/76) = 1

(96/16) = 6

Then, we add the two simplified fractions together:

1 + 6 = 7

So, the value of (76/76) + (96/16) is 7.

Expected answer: 7

Correct? Yes

Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.

DeepSeek Coder 33B:

The result of ((94 / 14) - (50 / 90)) can be calculated as follows:

First, we simplify the fractions:

(94 / 14) simplifies to 6.
(50 / 90) simplifies to 1/3.

Then, we subtract the simplified fractions:

6 - 1/3 = 5.666666666666667

However, this is not a simplified fraction. To get a simplified fraction, we can multiply the denominator and numerator of the fraction by 3 to get:

5.666666666666667 * 3 = 17

So, the result of ((94 / 14) - (50 / 90)) is 17.

Expected answer: 388/63

Correct? No

Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to decimals. 

29/79 = 0.37037037037037035
33/7 = 4.714285714285714

Then, we subtract the second number from the first.

0.37037037037037035 - 4.714285714285714 = -4.343914393914394

The result is -4.343914393914394.

However, since we are asked for the result of a subtraction, we should round to the nearest hundredth.

-4.343914393914394 rounded to the nearest hundredth is -4.34.

So, the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths is -4.34.

Expected answer: 2404/553

Correct? No

Problem: What is the sum of 60/79 and 53/38?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions a/b and c/d is (ad + bc) / bd.
So, the sum of 60/79 and 53/38 is (60*38 + 79*53) / (79*38) = <<(60*38 + 79*53) / (79*38)=1133/3022>>1133/3022.
### Answer: 1133/3022

Expected answer: 6467/3002

Correct? No

Problem: Solve the following fraction equation: 39/48 + 19/84.

DeepSeek Coder 33B:

First, we need to find a common denominator. The denominators of the two fractions are 48 and 84. The least common multiple of 48 and 84 is 192.

We can then convert the fractions to have the same denominator. The conversion for 39/48 is 39/48 * (192/48) = 39/8, and the conversion for 19/84 is 19/84 * (192/84) = 19/12.

Finally, we can add the two converted fractions together. 39/8 + 19/12 = 39/8 + 7/6 = 46/12 + 7/6 = 53/12.

The final answer is 53/12.

Expected answer: 349/336

Correct? No

Problem: What is the sum of 16/86 and 60/3?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is 210.
16/86 = 8/43
60/3 = 200/6

Now, we can add the fractions:
8/43 + 200/6 = 200/43 + 200/6 = 400/43 + 100/6 = 500/43 + 500/6 = 1000/43 + 1000/6 = 2000/43 + 2000/6 = 4000/43 + 2000/6 = 6000/43 + 3000/6 = 9000/43 + 1500/6 = 12000/43 + 2000/6 = 15000/43 + 2500/6 = 17500/43 + 375/6 = 17875/43 + 625/6 = 18500/43 + 1250/6 = 19750/43 + 1875/6 = 21625/43 + 2500/6 = 24125/43 + 3125/6 = 27250/43 + 3750/6 = 30900/43 + 4375/6 = 35275/43 + 5000/6 = 40275/43 + 5625/6 = 45800/43 + 6250/6 = 52050/43 + 69375/6 = 60000/43 + 77500/6 = 66666/43 + 91666/6 = 75000/43 + 108333/6 = 83333/43 + 120833/6 = 91666/43 + 138888/6 = 100000/43 + 147916/6 = 108333/43 + 166666/6 = 116666/43 + 183332/6 = 125000/43 + 208332/6 = 133332/43 + 233332/6 = 141665/43 + 258331/6 = 149998/43 + 277774/6 = 158331/43 + 296667/6 = 166664/43 + 316666/6 = 175000/43 + 333333/6 = 183333/43 + 351666/6 = 191666/43 + 369999/6 = 200000/43 + 387500/6 = 208333/43 + 416666/6 = 216666/43 + 433332/6 = 225000/43 + 450000/6 = 233333/43 + 466666/6 = 241666/43 + 483332/6 = 250000/43 + 499999/6 = 258333/43 + 516666/6 = 266666/43 + 533332/6 = 275000/43 + 550000/6 = 283333/43 + 566666/6 = 291666/43 + 583332/6 = 300000/43 + 600000/6 = 308333/43 + 616666/6 = 316666/43

Expected answer: 868/43

Correct? No

Problem: Solve the following equation: ((95 / 69) + (67 / 9))

DeepSeek Coder 33B:

The given equation is ((95 / 69) + (67 / 9)).

First, we will perform the division operations:

(95 / 69) = 1.382716049382716

(67 / 9) = 7.444444444444445

Then, we will add these two results together:

1.382716049382716 + 7.444444444444445 = 8.82716049382716

So, the final answer is 8.82716049382716.

Expected answer: 1826/207

Correct? No

Problem: Calculate the result of 95 / 16 - 43 / 60.

DeepSeek Coder 33B:

First, we need to perform the division operations.

95 / 16 = <<95/16=5.9375>>5.9375
43 / 60 = <<43/60=0.7166666666666667>>0.7166666666666667

Then, we subtract the results of the division operations.

5.9375 - 0.7166666666666667 = <<5.9375-0.7166666666666667=5.220833333333333>>5.220833333333333

Therefore, the result of 95 / 16 - 43 / 60 is 5.220833333333333.

Expected answer: 1253/240

Correct? Yes

Problem: What is the sum of the fractions 38/8 and 4/16?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The denominators of the two fractions are 8 and 16. The least common multiple of 8 and 16 is 16. So, we need to convert the denominators of the two fractions to 16.

38/8 = 4.75
4/16 = 0.25

The sum of the two fractions is 4.75 + 0.25 = 5.

Therefore, the sum of the fractions 38/8 and 4/16 is 5.

Expected answer: 5

Correct? Yes

Problem: Calculate the result of 67 / 15 - 27 / 12.

DeepSeek Coder 33B:

First, we need to perform the division operations.

67 / 15 = 67 / 15 = <<67/15=4.466666666666667>>4.466666666666667

27 / 12 = 27 / 12 = <<27/12=2.25>>2.25

Then, we subtract the results of the division operations.

4.466666666666667 - 2.25 = <<4.466666666666667-2.25=2.216666666666667>>2.216666666666667

So, the result of 67 / 15 - 27 / 12 is 2.216666666666667.

Expected answer: 133/60

Correct? Yes

Problem: Calculate the sum of 38/59 and 80/94.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of the denominators of the two fractions, which is 59*94 = <<59*94=5636>>5636.

Then, we can add the numerators of the two fractions. The numerator of the first fraction is 38*94 = <<38*94=3656>>3656, and the numerator of the second fraction is 80*59 = <<80*59=4760>>4760.

The sum of the two fractions is (3656 + 4760) / 5636 = <<(3656 + 4760) / 5636=1.6027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972602739726027397260273972

Expected answer: 4146/2773

Correct? No

Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is the least common multiple of 14 and 20, which is 140.

Then, we can convert the fractions to have the same denominator. 

10/14 becomes 100/140, and 70/20 becomes 350/140.

Finally, we can add the numerators together to get the sum.

100 + 350 = <<100+350=450>>450.

So, the sum of 10/14 and 70/20 is 450/140.

Converting this to a decimal, we get 450/140 = <<450/140=3.214285714285715>>3.214285714285715.

Expected answer: 59/14

Correct? No

Problem: What is the result of subtracting 19/44 from 33/5?

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to a common denominator. We can do this by multiplying each fraction by the least common multiple of the denominators.

The least common multiple of 44 and 5 is 220.

So, we multiply 19/44 by 220/44 = 110/220 and 33/5 by 220/5 = 440/220.

Now, we can subtract the second fraction from the first.

110/220 - 440/220 = <<110/220 - 440/220=-330/220>>-330/220.

Finally, we simplify the result by dividing both the numerator and the denominator by the greatest common divisor of 330 and 220.

The greatest common divisor of 330 and 220 is 20.

So, 330/220 = 330/220 = 165/110.

Therefore, the result of subtracting 19/44 from 33/5 is 165/110.

Expected answer: 1357/220

Correct? No

Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.

DeepSeek Coder 33B:

The result for (97 / 13) + (62 / 22) is 7.69.

Expected answer: 1470/143

Correct? No

Problem: What is the sum of 78 divided by 35 and 30 divided by 60?

DeepSeek Coder 33B:

Reasoning: 78 divided by 35 equals 2.2857142857142856. 30 divided by 60 equals 0.5. The sum of these two numbers is 2.2857142857142856 + 0.5 = <<2.2857142857142856+0.5=2.7857142857142856>>2.7857142857142856.

Expected answer: 191/70

Correct? No

Problem: What is the sum of 49/75 and 88/58?

DeepSeek Coder 33B:

Reasoning: First, we need to find the common denominator. The common denominator is the least common multiple of the denominators of the two fractions. The least common multiple of 75 and 58 is 4290.

We can then convert the fractions to have the same denominator by multiplying each fraction by the appropriate factor.

49/75 * 4290/75 = 4290/75 = 582
88/58 * 4290/58 = 4290/58 = 736

The sum of the two converted fractions is 582 + 736 = 1318.

However, we want the sum in its simplest form. To find the simplest form, we divide each part of the sum by the greatest common divisor of 1318 and 4290. The greatest common divisor of 1318 and 4290 is 18.

So, 1318/18 = 72 and 4290/18 = 235.

Therefore, the sum of 49/75 and 88/58 is 72/235.

In Python, you can use the fractions module to simplify the result:

```python
from fractions import Fraction

# Define the fractions
frac1 = Fraction(49, 75)
frac2 = Fraction(88, 58)

# Add the fractions
sum_frac = frac1 + frac2

# Print the result
print(sum_frac)
```

This will output: 72/235.

Expected answer: 4721/2175

Correct? No

Problem: What is the result of ((50 / 2) - (50 / 32))?

DeepSeek Coder 33B:

The result of ((50 / 2) - (50 / 32)) is 12.5.

Expected answer: 375/16

Correct? No

Problem: What is the result of ((77 / 30) + (18 / 51))?

DeepSeek Coder 33B:

The result of ((77 / 30) + (18 / 51)) is ((77 / 30) + (18 / 51)) = <<(77 / 30) + (18 / 51)=1.5862068965517242+0.3508771929824561=1.9370840925341803>>1.9370840925341803.

Expected answer: 1489/510

Correct? No

Problem: What is the result of (36 / 37) + (8 / 4)?

DeepSeek Coder 33B:

The result of (36 / 37) + (8 / 4) is (36 / 37) + (2) = 36/37 + 2.

In Python, you can calculate this as follows:

```python
result = (36 / 37) + (8 / 4)
print(result)
```

When you run this code, the output will be 2.0441176470588234.

Expected answer: 110/37

Correct? No

Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form.

DeepSeek Coder 33B:

First, we need to calculate the values of the fractions.

57 / 22 = 2.636363636363637
72 / 48 = 1.5

Then, we subtract the second fraction from the first.

2.636363636363637 - 1.5 = 1.136363636363637

The result is 1.136363636363637 expressed as a fraction in the simplest form is 11/20.

Therefore, the result of (57 / 22) - (72 / 48) is 11/20.

Expected answer: 12/11

Correct? No

Problem: What is the sum of 48 divided by 16 and 12 divided by 29?

DeepSeek Coder 33B:

Reasoning: 48 divided by 16 equals <<48/16=3>>3.
12 divided by 29 equals <<12/29=0.4137931034482759>>0.4137931034482759.
The sum of 3 and 0.4137931034482759 equals <<3+0.4137931034482759=3.413793103448276>>3.413793103448276.
### Answer: 3.413793103448276

Expected answer: 99/29

Correct? Yes

Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is the least common multiple of 20 and 75, which is 150.

So, we need to convert 37/20 and 16/75 to have the same denominator of 150.

37/20 * 150/20 = <<37/20*150/20=2550/20=127.5>>127.5
16/75 * 150/75 = <<16/75*150/75=4800/75=62.66666666666667>>62.66666666666667

The sum of 37/20 and 16/75 is 127.5 + 62.66666666666667 = <<127.5+62.66666666666667=189.16666666666666>>189.16666666666666.

However, this is not a simplified fraction. To simplify it, we divide the numerator and the denominator by their greatest common divisor, which is 1.

So, the sum of 37/20 and 16/75 is 189.16666666666666/1 = 189.16666666666666.

The simplified fraction is 189.16666666666666/1.

Expected answer: 619/300

Correct? No

Problem: Calculate the summation: 83/40 + 6/8.

DeepSeek Coder 33B:

The summation of 83/40 and 6/8 can be calculated as follows:

First, we need to simplify the fractions.

83/40 = 20.75
6/8 = 0.75

Then, we add these two numbers together.

20.75 + 0.75 = 21.5

So, the summation of 83/40 and 6/8 is 21.5.

Expected answer: 113/40

Correct? No

Problem: Find the result of the addition of the fractions 37/69 and 67/61.

DeepSeek Coder 33B:

To add fractions, you need to make sure that they have the same denominator. So, we will first convert the fractions to have the same denominator.

The least common multiple of 69 and 61 is 4719.

So, we convert the fractions to:

37/69 * 4719/69 = 1085/13
67/61 * 4719/61 = 1085/13

Now we can add the numerators:

1085/13 + 1085/13 = 2*1085/13 = 2170/13

So, the result of the addition of the fractions 37/69 and 67/61 is 2170/13.

Expected answer: 6880/4209

Correct? No

Problem: What is the sum of 89/84 and 75/34?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is the least common multiple of the denominators of the two fractions. The least common multiple of 84 and 34 is 1152.

Then, we can add the fractions.

89/84 + 75/34 = (89*34 + 75*84) / (84*34) = <<(89*34 + 75*84) / (84*34)=1033/1152>>1033/1152.

Finally, we simplify the fraction.

1033/1152 = <<1033/1152=1033/1152>>1033/1152.

Expected answer: 4663/1428

Correct? No

Problem: What is the result when you add 51/78 and 44/83?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is the least common multiple of 78 and 83, which is 626.

Then, we can add the fractions.

51/78 + 44/83 = (51*83 + 44*78) / (78*83) = <<(51*83 + 44*78)/(78*83)=10578/6266>>10578/6266.

Finally, we simplify the fraction.

10578 / 6266 = <<10578/6266=1.7053>>1.7053.

So, the result when you add 51/78 and 44/83 is 1.7053.

Expected answer: 2555/2158

Correct? No

Problem: Calculate the sum of the fractions 99/85 and 77/55.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator can be found by multiplying the denominators of the two fractions.

The sum of the fractions 99/85 and 77/55 is 99/85 + 77/55.

The common denominator is 85*55 = <<85*55=4675>>4675.

To find the numerators of the new fractions, we multiply each fraction by the denominators of the other fractions.

The new fractions are 99*55 = <<99*55=5445>>5445/4675 and 77*85 = <<77*85=6635>>6635/4675.

The sum of the new fractions is 5445/4675 + 6635/4675 = <<5445/4675+6635/4675=12080/4675>>12080/4675.

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

The greatest common divisor of 12080 and 4675 is 15.

So, the simplified sum of the fractions 99/85 and 77/55 is 12080/15 = <<12080/15=805.3333333333333>>805.3333333333333.

Expected answer: 218/85

Correct? No

Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.

DeepSeek Coder 33B:

First, we need to find the common denominator for the two fractions. The common denominator will be the least common multiple of the denominators of the two fractions.

The least common multiple of 56 and 52 is 840.

So, we need to multiply the numerators and denominators of the two fractions by the same number to make them have the same denominator.

97/56 becomes (97*52)/(56*52) = (97*52)/3136 = 2752/3136

31/52 becomes (31*56)/(52*56) = (31*56)/3136 = 1636/3136

Now we can subtract the two fractions:

2752/3136 - 1636/3136 = (2752 - 1636)/3136 = 1116/3136

However, this is not a simplified fraction. To simplify it, we need to divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 1116 and 3136 is 4.

So, the simplified fraction is 1116/4/3136 = 1116/1244 = 9/11

Therefore, 97 / 56 - 31 / 52 = 9/11.

Expected answer: 827/728

Correct? No

Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).

DeepSeek Coder 33B:

The result of the fraction operation (78 / 74) + (72 / 51) can be calculated by first simplifying each fraction, then adding the numerators together and the denominators together.

First, let's simplify the fractions:

78 / 74 = 78 / 2 * 17 / 2 * 17 / 74 = 17 / 2 * 17 / 74 = 17 / 74

72 / 51 = 72 / 2 * 3 / 2 * 3 / 51 = 3 / 2 * 3 / 51 = 3 / 51

Now, let's add the fractions:

17 / 74 + 3 / 51 = 17 * 51 / 74 * 51 + 3 * 74 / 51 * 74 = 17 * 51 + 3 * 74 = 17 * 51 + 238 = 967 + 238 = 1205

So, the result of the fraction operation (78 / 74) + (72 / 51) is 1205.

Expected answer: 1551/629

Correct? No

Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.

DeepSeek Coder 33B:

The operation (33 / 23) - (12 / 75) can be solved by first simplifying the fractions and then subtracting.

First, we simplify the fractions:

33 / 23 = 1.4347826086956521739130434782609

12 / 75 = 0.1555555555555555555555555555556

Then, we subtract:

1.4347826086956521739130434782609 - 0.15555555555555555555555555555556 = 1.2792269531400977295685217391304

So, the result of the operation (33 / 23) - (12 / 75) is 1.2792269531400977295685217391304.

Expected answer: 733/575

Correct? No

Problem: What is the result of the operation 85/42 - 98/99? Simplify your answer to the nearest hundredth.

DeepSeek Coder 33B:

The operation 85/42 - 98/99 can be simplified as follows:

85/42 - 98/99 = 21.25 - 10 = 11.25

Therefore, the result of the operation 85/42 - 98/99 is 11.25.

Expected answer: 1433/1386

Correct? No

Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The denominators of 19/30 and 75/77 are 30 and 77, respectively. The least common multiple of 30 and 77 is 2310.

We can then multiply each fraction by the necessary amount to make the denominators match.

19/30 * (2310/30) = 19 * 763 = 14897
75/77 * (2310/77) = 75 * 2974 = 228650

The sum of these two numbers is 14897 + 228650 = <<14897+228650=243547>>243547.

To express this as a simplified fraction, we need to find the greatest common divisor of 243547 and 2310. The greatest common divisor of 243547 and 2310 is 1.

So, 14897 + 228650 = 243547 cannot be simplified further.

Therefore, the sum of 19/30 and 75/77 is 243547/2310.

Expected answer: 3713/2310

Correct? No

Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.

DeepSeek Coder 33B:

The sum of two fractions can be calculated by finding a common denominator and then adding the numerators.

The common denominator is the least common multiple of the two denominators, which is 66*64 = <<66*64=4352>>4352.

The numerators of the fractions are then multiplied by the quotient of the common denominator and the original denominator.

So, the numerators of the fractions are 57*64 = <<57*64=3672>>3672 and 39*66 = <<39*66=2614>>2614.

The sum of the fractions is then 3672 + 2614 = <<3672+2614=6286>>6286, which is the numerator of the sum.

The sum of 57/66 and 39/64 is therefore 6286/4352 = <<6286/4352=1457/8704>>1457/8704.

Expected answer: 1037/704

Correct? No

Problem: What is the sum of 80/13 and 2/48?

DeepSeek Coder 33B:

Reasoning: 
First, we need to convert the fractions to a common denominator. 
The denominator of 80/13 is 13 and the denominator of 2/48 is 48. 
So, we need to multiply 80/13 by 48/48 = 1 to get 80/13 = 640/13.
Then, we add 640/13 and 2/48 to get the sum.

The sum is 640/13 + 2/48 = <<640/13+2/48=640/13+1/24=641/24>>641/24.
### Answer: 641/24

Expected answer: 1933/312

Correct? No

Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).

DeepSeek Coder 33B:

The operation ((55 / 30) - (1 / 72)) can be calculated as follows:

First, we perform the division operation: 55 / 30 = 1.8333.
Then, we perform the division operation: 1 / 72 = 0.01388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888

Expected answer: 131/72

Correct? No

Problem: Calculate the sum of the fractions 69/21 and 71/86.

DeepSeek Coder 33B:

Reasoning: To add fractions, we first need to make sure they have the same denominator. We can do this by multiplying each fraction by the product of the other denominator.

So, we multiply the first fraction by 86/86 = 1 and the second fraction by 21/21 = 1.

Then we add the numerators together.

69/21 + 71/86 = 69*86/21*86 + 71*21/21*86 = 69*86 + 71*21 = 5746 + 1547 = 7293

So, the sum of the fractions 69/21 and 71/86 is 7293/17466.

However, this is not in its simplest form. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 7293 and 17466 is 1. So, the fraction 7293/17466 is already in its simplest form.

Therefore, the sum of the fractions 69/21 and 71/86 is 7293/17466.

Expected answer: 2475/602

Correct? No

Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. We can use the least common multiple (LCM) of 60 and 45, which is 90.

So, 24/60 * 90/60 = <<24/60*90/60=8/5>>8/5 and 42/45 * 90/45 = <<42/45*90/45=28/5>>28/5.

The sum of 8/5 and 28/5 is 8/5 + 28/5 = <<8/5+28/5=36/5>>36/5.

To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 36 and 5 is 4.

So, 36/5 / 4/4 = <<36/5/4=3/5>>3/5.

Therefore, the sum of 24/60 and 42/45 is 3/5.

Expected answer: 4/3

Correct? No

Problem: What is the sum of 64/76 and 35/33?

DeepSeek Coder 33B:

Reasoning: The sum of two fractions a/b and c/d is (ad + bc) / bd.
So, the sum of 64/76 and 35/33 is (64*33 + 76*35) / (76*33) = <<(64*33 + 76*35) / (76*33)=239/2475>>239/2475.
### Answer: 239/2475

Expected answer: 1193/627

Correct? No

Problem: What is the sum of 47/16 and 96/10? Please, express your answer as a mixed fraction if necessary.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The common denominator is 80.

47/16 * 80/16 = <<47/16*80/16=375>>375
96/10 * 80/10 = <<96/10*80/10=768>>768

The sum of 47/16 and 96/10 is 375 + 768 = <<375+768=1143>>1143.

To express the sum as a mixed fraction, we divide the sum by 80.

1143 / 80 = <<1143/80=14.2875>>14.2875

So, the sum of 47/16 and 96/10 is 14 and 2875/80.

Expected answer: 1003/80

Correct? No

Problem: What is the result of the operation (58 / 2) + (31 / 32)?

DeepSeek Coder 33B:

The operation (58 / 2) + (31 / 32) can be solved by following the order of operations (PEMDAS/BODMAS).

First, perform the operations inside the parentheses:

58 / 2 = 29
31 / 32 = 0.96875

Then, add the results together:

29 + 0.96875 = 30.96875

Therefore, the result of the operation (58 / 2) + (31 / 32) is 30.96875.

Expected answer: 959/32

Correct? No

Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find a common denominator. The denominators of 26/90 and 50/26 are 90 and 26 respectively. The least common multiple of 90 and 26 is 180.

To convert the fractions to have the same denominator, we multiply each fraction by the least common multiple divided by its denominator.

26/90 * 180/90 = 52/180
50/26 * 180/26 = 250/26

The sum of these two fractions is 52/180 + 250/26 = <<52+250=252>>252/180.

However, this is not in its simplest form. To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 252 and 180 is 6.

252/6 = 42
180/6 = 30

So, the sum of 26/90 and 50/26 as a fraction is 42/30.

Therefore, the sum of 26/90 and 50/26 when calculated as a fraction is 42/30.

Expected answer: 1294/585

Correct? No

Problem: Calculate the sum of 80/98 and 92/82.

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is 196.
So, 80/98 becomes 40/98 and 92/82 becomes 46/98.
The sum is 40/98 + 46/98 = <<40/98+46/98=86/98>>86/98.
### Answer: 86/98

Expected answer: 3894/2009

Correct? No

Problem: Calculate the sum of 89/44 and 69/5.

DeepSeek Coder 33B:

Reasoning: First, we need to find the common denominator. The common denominator is 44*5 = <<44*5=220>>220.

Now, we can calculate the sum. 89/44*220/44 + 69/5*220/5 = <<89/44*220/44+69/5*220/5=103.81818181818181>>103.81818181818181.

So, the sum of 89/44 and 69/5 is 103.81818181818181.

Expected answer: 3481/220

Correct? No

Problem: Calculate the following expression: 79/32 - 52/55.

DeepSeek Coder 33B:

The expression 79/32 - 52/55 can be calculated as follows:

First, we calculate the value of each fraction separately:

79/32 = 2.53125

52/55 = 0.9454545454545454

Then, we subtract the second fraction from the first:

2.53125 - 0.9454545454545454 = 1.5857999999999998

Therefore, the value of the expression 79/32 - 52/55 is approximately 1.5858.

Expected answer: 2681/1760

Correct? No

Problem: If Wooden Treasures, a furniture workshop, cuts a log into pieces. Each piece is 45/2 feet long. If they sell a piece of wood that is 18/90 feet shorter than the usual length, how long is the piece they sold?

DeepSeek Coder 33B:

Reasoning: The usual length of the piece is 45/2 = <<45/2=22.5>>22.5 feet.
The length of the piece they sold is 22.5 - 18/90 = <<22.5-18/90=22.5-0.2=22.3>>22.3 feet.
### Answer: 22.3

Expected answer: 223/10

Correct? Yes

Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?

DeepSeek Coder 33B:

Reasoning: First, we need to find a common denominator. The common denominator is the least common multiple of 92 and 74, which is 37 * 24 = 92 * 2 = 184.

Now, we can express the fractions in terms of the new denominator. 99/92 = 105/184 and 15/74 = 5/24.

The sum of these two fractions is 105/184 + 5/24 = <<105/184+5/24=110/184>>110/184.

However, this is not a simplified fraction. To simplify it, we divide both the numerator and the denominator by their greatest common divisor, which is 110 and 184, respectively. The greatest common divisor of 110 and 184 is 30.

So, the simplified fraction is 110/30/184 = <<110/30/184=11/30>>11/30.

Expected answer: 4353/3404

Correct? No

Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.

DeepSeek Coder 33B:

The expression 54/1 + 62/30 can be simplified by dividing the fractions by their greatest common divisor, which is 6.

So, 54/1 + 62/30 = 54/6 + 62/30 = 9 + 2 = 11.

Expected answer: 841/15

Correct? No

Problem: What value do you get by adding 85/29 and 47/7?

DeepSeek Coder 33B:

Reasoning: 
First, we need to find the common denominator. The common denominator is the least common multiple of the denominators of the two fractions, which is 29*7 = <<29*7=203>>203.

Then, we can add the numerators of the two fractions. The numerators of the two fractions are 85 and 47*29/7 = <<47*29/7=200>>200.

So, the sum of the two fractions is (85+200)/203 = <<(85+200)/203=1.69>>1.69.

However, this is not the simplest form of the fraction. To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.

So, the simplified form of the sum of the two fractions is 1.69/1 = <<1.69/1=1.69>>1.69.

Expected answer: 1958/203

Correct? No