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

DeepSeek 67B:

Reasoning:
To add the fractions (74 / 63) and (91 / 78), we need to find a common denominator. The least common multiple (LCM) of 63 and 78 is 2454. So, we will convert both fractions to have a denominator of 2454.

(74 / 63) = (74 * 39) / (63 * 39) = 2894 / 2454
(91 / 78) = (91 * 31) / (78 * 31) = 2801 / 2454

Now, we can add the fractions:
(2894 / 2454) + (2801 / 2454) = (2894 + 2801) / 2454 = 5695 / 2454

The sum of the fractions is 5695 / 2454.

Expected answer: 295/126

Correct? No

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 5 and 25 is 25. So, we can rewrite 94/5 as 47/1 and then add the fractions.

94/5 + 1/25 = 47/1 + 1/25 = 47*25/1*25 + 1/25 = 1176/25 + 1/25 = 1177/25

So, the result of adding 94/5 to 1/25 is 1177/25.
### Answer: 1177/25

Expected answer: 471/25

Correct? No

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

DeepSeek 67B:

To subtract fractions, we need a common denominator. The least common multiple of 20 and 8 is 40. So, we rewrite the fractions with the common denominator:

48/20 = 240/40
49/8 = 490/40

Now, we can subtract the fractions:

(240/40) - (490/40) = -250/40

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 10:

-250/40 = -25/4

So, the result of subtracting 48/20 from 49/8 is -25/4.

Expected answer: 149/40

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions in the expression.
45/5 = 9
6/47 = 0.12765957446809
Now, we can substitute these values back into the expression:
(9 - 0.12765957446809)
Next, we perform the subtraction:
9 - 0.12765957446809 = 8.87234042553191
Therefore, the value of the expression is 8.87234042553191.
### Answer: 8.87234042553191

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 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 49 and 35 is 49*35 = 1715.
So, we rewrite the fractions with the common denominator:
22/49 = (22*35)/(49*35) = 770/1715
72/35 = (72*49)/(35*49) = 3528/1715
Now, we can add the fractions:
(770/1715) + (3528/1715) = (770+3528)/1715 = 4298/1715
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(4298, 1715) = 17
So, we divide both the numerator and the denominator by 17:
4298/1715 = (4298/17)/(1715/17) = 254/100
Therefore, the sum of 22/49 and 72/35 is 254/100.
The answer is: 254/100

Expected answer: 614/245

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
39/9 = 4 (since 39 � 9 = 4)
44/69 = 0.638 (since 44 � 69 = 0.638)
Now, we can subtract the fractions:
4 - 0.638 = 3.362
So, the result of (39 / 9) - (44 / 69) is 3.362.
### Answer: 3.362

Expected answer: 85/23

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 79 and 21 is 1653.
So, we rewrite the fractions with the common denominator:
49/79 = (49 * 21) / (79 * 21) = 1029/1653
18/21 = (18 * 79) / (21 * 79) = 1422/1653
Now, we can add the fractions:
49/79 + 18/21 = 1029/1653 + 1422/1653 = (1029 + 1422) / 1653 = 2451/1653
The sum of 49/79 and 18/21 is 2451/1653.
### Answer: 2451/1653

Expected answer: 817/553

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 46 and 31 is 1402.
So, we rewrite the fractions with the common denominator:
95/46 = 2175/1402
65/31 = 1950/1402
Now, we can add the fractions:
2175/1402 + 1950/1402 = 4125/1402
The sum of 95/46 and 65/31 is 4125/1402.
### Answer: 4125/1402

Expected answer: 5935/1426

Correct? No

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

DeepSeek 67B:

Reasoning:
25/63 + 74/6 = 25/63 + 1230/630 = (25 + 1230)/630 = 1255/630
The sum of 25 over 63 and 74 over 6 is 1255/630.
### Answer: 1255/630

Expected answer: 802/63

Correct? No

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 91 and 47 is 47. So, we can rewrite the fractions with the common denominator of 47.

79/91 = (79*5)/91*5 = 395/455
100/47 = (100*1)/47*1 = 100/47

Now, we can add the fractions:

395/455 + 100/47 = 395/455 + 200/455 = 595/455

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5.

595/455 = (595/5)/(455/5) = 119/91

So, the sum of 79/91 and 100/47 is 119/91.

### Answer: 119/91

Expected answer: 12813/4277

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
55/47 = 1 with a remainder of 8, so 55/47 = 1 + 8/47.
72/21 = 3 with a remainder of 9, so 72/21 = 3 + 9/21.
Now, we can rewrite the expression as ((1 + 8/47) + (3 + 9/21)).
Next, we can add the whole numbers and the fractions separately.
The whole numbers are 1 + 3 = 4.
The fractions are 8/47 + 9/21 = (8*3 + 9*2)/47*3 = (24 + 18)/141 = 42/141.
Now, we can rewrite the expression as 4 + 42/141.
Finally, we can simplify the fraction 42/141 by dividing both the numerator and denominator by their greatest common divisor, which is 3.
42/141 = (42/3) / (141/3) = 14/47.
So, the result of ((55 / 47) + (72 / 21)) is 4 + 14/47.
### Answer: 4 + 14/47

Expected answer: 1513/329

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 86/62 and 99/41, we need to find a common denominator for both fractions.
The least common multiple of 62 and 41 is 2462.
So, we can rewrite 86/62 as 172/124 and 99/41 as 246/124.
Now, we can add the fractions:
172/124 + 246/124 = 418/124
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2.
418/124 = 209/62
So, the sum of 86/62 and 99/41 is 209/62.
### Answer: 209/62

Expected answer: 4832/1271

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 88 and 13 is 1144. So, we can rewrite the fractions with the common denominator as follows:

87/88 = (87 * 13) / (88 * 13) = 1143/1144
24/13 = (24 * 88) / (13 * 88) = 2112/1144

Now, we can add the fractions:

(1143/1144) + (2112/1144) = (1143 + 2112) / 1144 = 3255/1144

So, the sum of 87/88 and 24/13 is 3255/1144.

### Answer: 3255/1144

Expected answer: 3243/1144

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to add the fractions. To do this, we need a common denominator. The least common multiple of 33 and 25 is 825. So, we rewrite the fractions with the common denominator:

(68 / 33) + (70 / 25) = (68 * 25) / 825 + (70 * 33) / 825

Now, we can add the fractions:

(68 * 25) / 825 + (70 * 33) / 825 = (1700 + 2310) / 825

Now, we can add the numerators:

(1700 + 2310) / 825 = 3910 / 825

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5:

3910 / 825 = (3910 / 5) / (825 / 5) = 782 / 165

So, the answer is 782 / 165.

Expected answer: 802/165

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of the fractions, we need a common denominator. The least common multiple of 97 and 9 is 97. So, we can rewrite the fractions with the common denominator:

35/97 = (35 * 1) / (97 * 1) = 35/97
11/9 = (11 * 10) / (9 * 10) = 110/90

Now, we can add the fractions:

35/97 + 110/90 = (35 * 10) / (97 * 10) + (110 * 1) / (90 * 1) = 350/970 + 110/900

To add the numerators, we add 350 and 110:

350 + 110 = 460

So, the sum of the fractions is:

460/970

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10:

460 / 10 = 46
970 / 10 = 97

So, the simplified sum of the fractions is:

46/97

Therefore, the summation of 35/97 and 11/9 is 46/97.

Expected answer: 1382/873

Correct? No

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

DeepSeek 67B:

To subtract fractions, we need a common denominator.
The least common multiple of 70 and 5 is 350.
So, we rewrite the fractions with the common denominator:
79/70 = 263/350
11/5 = 220/350
Now, we can subtract the fractions:
220/350 - 263/350 = -43/350
Therefore, the result of subtracting 79/70 from 11/5 is -43/350.
### Answer: -43/350

Expected answer: 15/14

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 16 and 78 is 168.
So, we rewrite the fractions with the common denominator:
68/16 = 436/168
52/78 = 68/168
Now, we can add the fractions:
436/168 + 68/168 = 504/168
The sum of 68/16 and 52/78 is 504/168.
### Answer: 504/168

Expected answer: 59/12

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 21/75 and 44/47, we need to find a common denominator for both fractions. The least common multiple of 75 and 47 is 3525. So, we need to convert both fractions to have a denominator of 3525.

21/75 = (21 * 47) / (75 * 47) = 969/3525
44/47 = (44 * 75) / (47 * 75) = 3300/3525

Now, we can add the two fractions:

969/3525 + 3300/3525 = (969 + 3300) / 3525 = 4269/3525

The sum of 21/75 and 44/47 is 4269/3525.

### Answer: 4269/3525

Expected answer: 1429/1175

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to find the result of 77/5.
77 divided by 5 is 15 with a remainder of 2.
So, 77/5 = 15.2.

Next, we need to add 4/11 to the result of 77/5.
15.2 + 4/11 = 15.2 + 0.36363636363636365 (rounded to 15 decimal places).

Finally, we add 15.2 to 0.36363636363636365.
15.2 + 0.36363636363636365 = 15.563636363636364 (rounded to 15 decimal places).

So, the result of (77/5 + 4/11) is 15.563636363636364.

Expected answer: 867/55

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 48 and 47 is 2256.
So, we rewrite the fractions with the common denominator:
60/48 = 2256/48 = 47/47
37/47 = 2256/47 = 48/47
Now, we can add the fractions:
47/47 + 48/47 = 95/47
The sum of 60/48 and 37/47 is 95/47.
### Answer: 95/47

Expected answer: 383/188

Correct? No

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

DeepSeek 67B:

To solve the expression ((14 / 72) + (25 / 6)), we first need to find a common denominator for the fractions. The least common multiple of 72 and 6 is 72, so we can rewrite the expression as ((14 / 72) + (25 / 72)).

Now, we can add the fractions:

(14 / 72) + (25 / 72) = (14 + 25) / 72 = 39 / 72

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:

39 / 72 = (39 / 3) / (72 / 3) = 13 / 24

So, the simplified expression is 13 / 24.

Expected answer: 157/36

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 84/97 and 25/2, we need to find a common denominator for the fractions. The least common multiple of 97 and 2 is 194. So, we can rewrite the fractions with the common denominator as follows:

84/97 = (84 * 2) / (97 * 2) = 168/194
25/2 = (25 * 97) / (2 * 97) = 2425/194

Now, we can add the fractions:

(168/194) + (2425/194) = (168 + 2425) / 194 = 2593/194

The sum of 84/97 and 25/2 is 2593/194.

### Answer: 2593/194

Expected answer: 2593/194

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To find the difference between the fractions 66/20 and 4/78, we need to find a common denominator. The least common multiple of 20 and 78 is 190. So, we can rewrite the fractions with the common denominator of 190:

66/20 = 33/10 = 165/190
4/78 = 5/190

Now, we can subtract the fractions:

165/190 - 5/190 = 160/190

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 160:

160/190 = 1/190

So, the difference between the fractions 66/20 and 4/78 is 1/190.

### Answer: 1/190

Expected answer: 1267/390

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to divide 83 by 37 and 12 by 14.
83 divided by 37 is 2 with a remainder of 5.
12 divided by 14 is 0 with a remainder of 12.
Now, we can rewrite the expression as (2 + 5/37) - (0 + 12/14).
Simplifying further, we get (2 + 5/37) - (0 + 3/7).
Now, we can subtract the fractions: (2 + 5/37) - (3/7) = 2 - 3/7 + 5/37.
To subtract the fractions, we need a common denominator, which is 259.
So, we have (2 - 3/7 + 5/37) = (2 * 37/37 - 3/7 * 37/37 + 5/37 * 7/7).
Simplifying further, we get (74/37 - 111/259 + 35/259).
Now, we can combine the fractions: (74/37 - 111/259 + 35/259) = (74/37 - 111/259 + 35/259) = (74/37 + 35/259 - 111/259).
Finally, we can add the fractions: (74/37 + 35/259 - 111/259) = (74/37 - 76/259).
To subtract the fractions, we need a common denominator, which is 1033.
So, we have (74/37 - 76/259) = (74 * 259/1033 - 76 * 37/1033).
Simplifying further, we get (19186/1033 - 2852/1033).
Finally, we can subtract the fractions: (19186/1033 - 2852/1033) = (16334/1033).
So, the value of the expression is 16334/1033.
The answer is: 16334

Expected answer: 359/259

Correct? No

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 57 and 80 is 4560.
So, we rewrite the fractions with the common denominator:
95/57 = (95 * 80) / (57 * 80) = 7600/4560
28/80 = (28 * 57) / (80 * 57) = 1596/4560
Now, we can add the fractions:
7600/4560 + 1596/4560 = 9196/4560
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 4:
9196/4560 = (9196/4) / (4560/4) = 2299/1140
So, the sum of 95/57 and 28/80 is 2299/1140.
The answer is: 2299/1140

Expected answer: 121/60

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 57 and 42 is 2310.
So, we rewrite the fractions with the common denominator:
14/57 = 294/2310
92/42 = 460/2310
Now, we can add the fractions:
294/2310 + 460/2310 = 754/2310
The sum of 14/57 and 92/42 is 754/2310.
### Answer: 754/2310

Expected answer: 324/133

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
77/55 can be simplified to 1 22/55.
6/5 can be simplified to 6/5.
Now, we can add the fractions.
(1 + 22/55) + (6/5) = 1 + 22/55 + 6/5 = 1 + 22/55 + 60/55 = 1 + 82/55 = 1 + 1 27/55 = 2 27/55.
So, the result of ((77 / 55) + (6 / 5)) is 2 27/55.
### Answer: 2 27/55

Expected answer: 13/5

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to perform the division operations.
56 divided by 8 equals 7.
90 divided by 86 equals 1.
Now, we can add the results together.
7 + 1 equals 8.
The answer is 8

Expected answer: 346/43

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 20 and 97 is 1940.
So, we rewrite the fractions with the common denominator:
23/20 = 1940/20 * 23/1940 = 4466/1940
82/97 = 1940/97 * 82/1940 = 1578/1940
Now, we can add the fractions:
23/20 + 82/97 = 4466/1940 + 1578/1940 = 6044/1940
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 2:
6044/1940 = 3022/970
So, the sum of 23/20 and 82/97 is 3022/970.
The answer is: 3022/970

Expected answer: 3871/1940

Correct? No

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 88 and 10 is 440. So, we can rewrite the fractions with the common denominator:

54/88 = (54*5)/(88*5) = 270/440
28/10 = (28*44)/(10*44) = 1232/440

Now, we can add the fractions:

(270/440) + (1232/440) = (270+1232)/440 = 1502/440

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

1502/440 = (1502/2) / (440/2) = 751/220

So, the sum of 54/88 and 28/10 is 751/220.

Expected answer: 751/220

Correct? Yes

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
7 / 69 = 0.1014422767980015
71 / 47 = 1.5106382978723404
Now, we can add the two fractions together:
0.1014422767980015 + 1.5106382978723404 = 1.6120805746703419
### Answer: 1.6120805746703419

Expected answer: 5228/3243

Correct? No

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 32 and 15 is 240.
So, we rewrite the fractions with the common denominator:
15/32 = 15*7/32*7 = 105/224
65/15 = 65*16/15*16 = 1040/240
Now, we can add the fractions:
105/224 + 1040/240 = (105+1040)/224 = 1145/224
The sum of 15/32 and 65/15 is 1145/224.
### Answer: 1145/224

Expected answer: 461/96

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 4/31 and 76/11, we need to find a common denominator for the fractions. The least common multiple of 31 and 11 is 341. So, we can rewrite the fractions with the common denominator as follows:

4/31 = (4 * 11) / (31 * 11) = 44/341
76/11 = (76 * 3) / (11 * 3) = 228/333

Now, we can add the fractions:

44/341 + 228/341 = (44 + 228) / 341 = 272/341

So, the sum of 4/31 and 76/11 is 272/341.

### Answer: 272/341

Expected answer: 2400/341

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 15 and 12 is 60. So, we convert both fractions to have a denominator of 60.

82/15 = (82 * 4) / (15 * 4) = 328/60
100/12 = (100 * 5) / (12 * 5) = 500/60

Now, we can add the fractions:

328/60 + 500/60 = 828/60

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

828/60 = (828/6) / (60/6) = 138/10

So, the sum of 82/15 and 100/12 is 138/10.

### Answer: 138/10

Expected answer: 69/5

Correct? Yes

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

DeepSeek 67B:

First, we simplify the fractions:
92/29 = 3 and 41/33 = 1.
Then, we add the whole numbers:
3 + 1 = 4.
So, the result of the expression is 4.
### Answer: 4

Expected answer: 4225/957

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 29 and 98 is 1426.
So, we rewrite the fractions with the common denominator:
57/29 = 235/1426
14/98 = 7/1426
Now, we can add the fractions:
235/1426 + 7/1426 = 242/1426
Simplifying the fraction, we get:
242/1426 = 2/11
### Answer: 2/11

Expected answer: 428/203

Correct? No

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

DeepSeek 67B:

To solve the given expression, we need to find a common denominator for the fractions and then add them.

The common denominator for 25 and 28 is 700.

Now, we need to convert the fractions to have the common denominator of 700.

70/25 = (70 * 28) / (25 * 28) = 1960 / 700

83/28 = (83 * 25) / (28 * 25) = 2075 / 700

Now, we can add the fractions:

1960 / 700 + 2075 / 700 = (1960 + 2075) / 700 = 4035 / 700

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5.

4035 / 700 = (4035 / 5) / (700 / 5) = 807 / 140

So, the value of the expression 70/25 + 83/28 is 807/140.

Expected answer: 807/140

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 73 and 23 is 1683.
So, we rewrite the fractions with the common denominator:
50/73 = (50 * 23) / (73 * 23) = 1150/1683
20/23 = (20 * 73) / (23 * 73) = 1460/1683
Now, we can add the fractions:
1150/1683 + 1460/1683 = 2610/1683
The result is 2610/1683.
### Answer: 2610/1683

Expected answer: 2610/1679

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 57 and 99 is 57*99 = 5643.
So, we rewrite the fractions with the common denominator:
(49/57) + (89/99) = (49*99/57*99) + (89*57/99*57) = (4803/5643) + (4995/5643)
Now, we can add the fractions:
(4803/5643) + (4995/5643) = (4803+4995)/5643 = 9898/5643
The value of ((49/57) + (89/99)) is 9898/5643.
### Answer: 9898/5643

Expected answer: 3308/1881

Correct? No

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

DeepSeek 67B:

First, we need to find the common denominator for the fractions, which is 49.
So, we have:
94/35 - 23/49 = (94*49)/(35*49) - (23*35)/(49*35)
= (94*49 - 23*35) / (35*49)
= (4506 - 805) / (35*49)
= 3691 / (35*49)
= 3691 / 1715
= 1845 / 857
The answer is: 1845/857

Expected answer: 543/245

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 30 and 37 is 1110. So, we convert both fractions to have a denominator of 1110.

58/30 = (58 * 37) / (30 * 37) = 2146 / 1110
49/37 = (49 * 30) / (37 * 30) = 1470 / 1110

Now, we can add the fractions:

(2146 / 1110) + (1470 / 1110) = 3616 / 1110

So, the sum of 58/30 and 49/37 is 3616/1110.

### Answer: 3616/1110

Expected answer: 1808/555

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To find the sum of 45/53 and 71/50, we need to find a common denominator for both fractions. The least common multiple of 53 and 50 is 2650. So, we can rewrite the fractions with the common denominator as follows:

45/53 = (45 * 50) / (53 * 50) = 2250 / 2650
71/50 = (71 * 53) / (50 * 53) = 3763 / 2650

Now, we can add the two fractions:

(2250 / 2650) + (3763 / 2650) = (2250 + 3763) / 2650 = 5913 / 2650

So, the sum of 45/53 and 71/50 is 5913/2650.

### Answer: 5913/2650

Expected answer: 6013/2650

Correct? No

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

DeepSeek 67B:

Reasoning:
36/72 = 1/2
49/1 = 49
The sum of 1/2 and 49 is 49.5
### Answer: 49.5

Expected answer: 99/2

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 20 and 15 is 60. So, we can rewrite the fractions with the common denominator of 60.

61/20 = 305/60
29/15 = 174/60

Now, we can add the fractions:

305/60 + 174/60 = 479/60

The sum of 61/20 and 29/15 is 479/60.

### Answer: 479/60

Expected answer: 299/60

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the expression ((33 / 90) + (77 / 79)), we need to add the fractions.

First, we need a common denominator. The least common multiple of 90 and 79 is 7029.

Next, we convert the fractions to have the common denominator:
(33 / 90) becomes (33 * 79) / (90 * 79) = 2847 / 7029
(77 / 79) becomes (77 * 90) / (79 * 90) = 6930 / 7029

Now, we can add the fractions:
(2847 / 7029) + (6930 / 7029) = (2847 + 6930) / 7029 = 9777 / 7029

So, the unsimplified fraction for the expression ((33 / 90) + (77 / 79)) is 9777 / 7029.

Expected answer: 3179/2370

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 79 and 6 is 237.
So, we rewrite the fractions with the common denominator:
30/79 = (30 * 3) / (79 * 3) = 90/237
29/6 = (29 * 39) / (6 * 39) = 1131/237
Now, we can add the fractions:
90/237 + 1131/237 = (90 + 1131) / 237 = 1221/237
The sum of 30/79 and 29/6 is 1221/237.
### Answer: 1221/237

Expected answer: 2471/474

Correct? No

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

DeepSeek 67B:

Reasoning:
To subtract fractions, we need a common denominator. The least common multiple of 66 and 2 is 66. So, we rewrite the fractions with the common denominator:

11/66 = 11/66
59/2 = 59*33/2*33 = 1947/66

Now, we can subtract the fractions:

1947/66 - 11/66 = 1936/66

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 1:

1936/66 = 1936/66

So, the answer is 1936/66.

Expected answer: 88/3

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 23 and 26 is 598. So, we can rewrite the fractions with the common denominator:

58/23 = 290/598
25/26 = 250/598

Now, we can add the fractions:

290/598 + 250/598 = 540/598

The sum of the fractions is 540/598.

### Answer: 540/598

Expected answer: 2083/598

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 13 and 52 is 156. So, we rewrite the fractions with the common denominator:

70/13 = 70*12/13*12 = 960/156
17/52 = 17*3/52*3 = 51/156

Now, we can add the fractions:

960/156 + 51/156 = 1011/156

The sum of the fractions is 1011/156.
### Answer: 1011/156

Expected answer: 297/52

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 44 and 91 is 3994.
So, we rewrite the fractions with the common denominator:
78/44 = 1878/3994
17/91 = 187/3994
Now, we can add the fractions:
1878/3994 + 187/3994 = 2065/3994
The sum of 78/44 and 17/91 is 2065/3994.
### Answer: 2065/3994

Expected answer: 3923/2002

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 43/4 and 71/4, we can add the numerators and keep the denominator the same.

43/4 + 71/4 = (43 + 71)/4 = 114/4 = 28.5

So, the sum of 43/4 and 71/4 is 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 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 74 and 27 is 1998.
So, we rewrite the fractions with the common denominator:
17/74 = 133/1998
53/27 = 203/1998
Now, we can add the fractions:
133/1998 + 203/1998 = 336/1998
Simplifying the fraction, we get:
336/1998 = 84/546
The fraction cannot be simplified further, so the result is 84/546.
### Answer: 84/546

Expected answer: 4381/1998

Correct? No

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

DeepSeek 67B:

Reasoning:
The given expression is (76/76) + (96/16).
We can simplify this expression by dividing both the numerator and denominator of each fraction by their greatest common divisor (GCD).
The GCD of 76 and 76 is 76, so we can simplify the first fraction as 1/1.
The GCD of 96 and 16 is 16, so we can simplify the second fraction as 6/1.
Now, we can rewrite the expression as 1/1 + 6/1.
Adding the numerators and keeping the denominator the same, we get 7/1.
Therefore, the value of the expression is 7.
The answer is: 7

Expected answer: 7

Correct? Yes

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

DeepSeek 67B:

First, we simplify the fractions:
94/14 = 6
50/90 = 5/9
Now, we perform the subtraction:
6 - 5/9 = 54/9 - 5/9 = 49/9
So, the result is 49/9.

Expected answer: 388/63

Correct? No

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

DeepSeek 67B:

Reasoning:
To subtract fractions, we need a common denominator. The least common multiple of 7 and 9 is 63. So, we convert the fractions to have a denominator of 63.

Twenty-nine seventieths is equal to (29/7) * (9/9) = 261/63.
Thirty-three sevenths is equal to (33/7) * (9/9) = 297/63.

Now, we can subtract the fractions:

(297/63) - (261/63) = 36/63.

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 9.

36/63 = (36/9) / (63/9) = 4/7.

So, the result of subtracting twenty-nine seventieths from thirty-three sevenths is 4/7.

### Answer: 4/7

Expected answer: 2404/553

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 60/79 and 53/38, we need to find a common denominator for the fractions.
The least common multiple of 79 and 38 is 2226.
So, we can rewrite 60/79 as (60*28)/(79*28) = 1680/2226 and 53/38 as (53*6)/(38*6) = 318/2226.
Now, we can add the fractions: 1680/2226 + 318/2226 = (1680+318)/2226 = 1998/2226.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 9.
So, 1998/2226 simplifies to 222/247.
Therefore, the sum of 60/79 and 53/38 is 222/247.
The answer is: 222/247

Expected answer: 6467/3002

Correct? No

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

DeepSeek 67B:

To solve the fraction equation 39/48 + 19/84, we first need to find a common denominator for the fractions. The least common multiple (LCM) of 48 and 84 is 504.

Now, we can rewrite the fractions with the common denominator:

39/48 = (39 * 10.5) / (48 * 10.5) = 418.5 / 504
19/84 = (19 * 6) / (84 * 6) = 114 / 504

Now, we can add the fractions:

418.5 / 504 + 114 / 504 = (418.5 + 114) / 504 = 532.5 / 504

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 532.5 and 504 is 3.

532.5 / 3 = 177.5
504 / 3 = 168

So, the simplified fraction is 177.5 / 168.

Expected answer: 349/336

Correct? No

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

DeepSeek 67B:

Reasoning:
16/86 + 60/3 = 16/86 + 200/33 = 16*33/86*33 + 200/33 = 528/2868 + 200/33 = 728/2868
The answer is 728/2868

Expected answer: 868/43

Correct? No

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

DeepSeek 67B:

To solve the equation ((95 / 69) + (67 / 9)), we need to add the fractions.

First, we need to find a common denominator for the fractions. The least common multiple (LCM) of 69 and 9 is 18.

Next, we need to rewrite the fractions with the common denominator:

(95 / 69) = (95 * 2.5) / (69 * 2.5) = 237.5 / 172.5
(67 / 9) = (67 * 2) / (9 * 2) = 134 / 18

Now, we can add the fractions:

(237.5 / 172.5) + (134 / 18) = (237.5 * 18) / (172.5 * 18) + (134 * 172.5) / (18 * 172.5) = 4275 / 3127.5 + 22995 / 3127.5 = (4275 + 22995) / 3127.5 = 27270 / 3127.5

Finally, we simplify the fraction:

27270 / 3127.5 = 8.72

So, the solution to the equation ((95 / 69) + (67 / 9)) is 8.72.

Expected answer: 1826/207

Correct? No

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

DeepSeek 67B:

95 / 16 - 43 / 60 = 5.9375 - 0.7166666666666667 = 5.220833333333333

Expected answer: 1253/240

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 8 and 16 is 16. So, we can rewrite the fractions with a denominator of 16:

38/8 = 76/16
4/16

Now, we can add the fractions:

76/16 + 4/16 = 80/16

The sum of the fractions is 80/16.

### Answer: 80/16

Expected answer: 5

Correct? Yes

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

DeepSeek 67B:

First, we need to find the common denominator for the fractions, which is 60.
So, 67/15 - 27/12 = (67*4)/60 - (27*5)/60 = 268/60 - 135/60.
Now, we can subtract the fractions: 268/60 - 135/60 = 133/60.
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 13.
So, 133/60 = (133/13) / (60/13) = 10/5 = 2.
Therefore, 67/15 - 27/12 = 2.
### Answer: 2

Expected answer: 133/60

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 59 and 94 is 5334.
So, we rewrite the fractions with the common denominator:
38/59 = (38*91)/(59*91) = 3438/5334
80/94 = (80*56)/(94*56) = 4480/5334
Now, we can add the fractions:
3438/5334 + 4480/5334 = 7918/5334
The sum of 38/59 and 80/94 is 7918/5334.
### Answer: 7918/5334

Expected answer: 4146/2773

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 14 and 20 is 140. So, we rewrite the fractions with the common denominator:

10/14 = 10*10/14*10 = 100/140
70/20 = 70*7/20*7 = 490/140

Now, we can add the fractions:

100/140 + 490/140 = 590/140

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 10:

590/140 = 59/14

So, the sum of 10/14 and 70/20 is 59/14.

To convert the fraction to a decimal, we divide the numerator by the denominator:

59/14 = 4.214285714285714

So, the sum of 10/14 and 70/20 as a decimal is 4.214285714285714.

Expected answer: 59/14

Correct? Yes

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

DeepSeek 67B:

To subtract fractions, we need a common denominator.
The least common multiple of 44 and 5 is 220.
So, we rewrite the fractions with the common denominator:
19/44 = 475/220
33/5 = 66/10 = 660/100 = 660/100
Now, we can subtract the fractions:
330/100 - 475/220 = (330 - 475) / 220 = -145/220
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 5:
-145/220 = -29/44
So, the result of subtracting 19/44 from 33/5 is -29/44.
### Answer: -29/44

Expected answer: 1357/220

Correct? No

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

DeepSeek 67B:

First, we need to divide 97 by 13 to get 7.538461538461538.
Then, we need to divide 62 by 22 to get 2.8181818181818183.
Finally, we add the two results together to get 10.356643356643357.
Rounded to the nearest hundredth, the answer is 10.36.
### Answer: 10.36

Expected answer: 1470/143

Correct? No

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

DeepSeek 67B:

Reasoning:
78/35 = 2.25
30/60 = 0.5
The sum of 78/35 and 30/60 is 2.25 + 0.5 = 2.75
### Answer: 2.75

Expected answer: 191/70

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 49/75 and 88/58, we need to find a common denominator for both fractions.
The least common multiple of 75 and 58 is 2835.
So, we can rewrite 49/75 as (49*38)/(75*38) = 1862/2835 and 88/58 as (88*5)/(58*5) = 440/2835.
Now, we can add the fractions: 1862/2835 + 440/2835 = (1862+440)/2835 = 2302/2835.
So, the sum of 49/75 and 88/58 is 2302/2835.
### Answer: 2302/2835

Expected answer: 4721/2175

Correct? No

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

DeepSeek 67B:

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

50 / 2 = 25
50 / 32 = 1.5625 (rounded to four decimal places)

Now, we can substitute these values back into the original expression:

(25 - 1.5625)

Finally, we perform the subtraction:

25 - 1.5625 = 23.4375

So, the result of ((50 / 2) - (50 / 32)) is 23.4375.

Expected answer: 375/16

Correct? Yes

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
77/30 can be simplified to 11/5 by dividing both the numerator and denominator by 7.
18/51 can be simplified to 2/7 by dividing both the numerator and denominator by 9.
Now, we can add the fractions:
(11/5) + (2/7) = 77/35 + 10/35 = 87/35
To get a decimal, we divide the numerator by the denominator:
87/35 = 2.4857142857142858
So, the result of ((77 / 30) + (18 / 51)) is approximately 2.49.
### Answer: 2.49

Expected answer: 1489/510

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to simplify the fractions.
36 / 37 is already in its simplest form.
8 / 4 can be simplified to 2 by dividing both the numerator and denominator by 4.
So, the expression becomes (36 / 37) + 2.
To add these two fractions, we need a common denominator.
The least common multiple of 37 and 1 is 1, so we can use that as the common denominator.
(36 / 37) + (2 * 37 / 1) = (36 + 74) / 37 = 110 / 37.
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1.
So, the final result is 110 / 37.
The answer is: 110/37

Expected answer: 110/37

Correct? Yes

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

DeepSeek 67B:

First, we simplify the fractions:
57/22 = 2.59090909090909
72/48 = 1.5
Then, we subtract the fractions:
2.59090909090909 - 1.5 = 1.09090909090909
Finally, we express the result as a fraction:
1.09090909090909 = 109090909090909/100000000000000 = 109090909090909/100000000000000
The fraction is already in simplest form.
### Answer: 109090909090909/100000000000000

Expected answer: 12/11

Correct? No

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

DeepSeek 67B:

Reasoning:
48/16 = 3
12/29 = 0.4137931034482759
The sum of 3 and 0.4137931034482759 is 3.4137931034482759
### Answer: 3.4137931034482759

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 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 20 and 75 is 300. So, we rewrite the fractions with the common denominator:

37/20 = (37*15)/(20*15) = 555/300
16/75 = (16*4)/(75*4) = 64/300

Now, we can add the fractions:

(555/300) + (64/300) = 619/300

The sum of 37/20 and 16/75 is 619/300.
### Answer: 619/300

Expected answer: 619/300

Correct? Yes

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

DeepSeek 67B:

Reasoning:
First, we need to find a common denominator for the fractions. The least common multiple of 40 and 8 is 80.

So, we rewrite the fractions with the common denominator:
83/40 = 166/80
6/8 = 75/80

Now, we can add the fractions:
166/80 + 75/80 = 241/80

Finally, we simplify the fraction:
241/80 = 12.05

So, the summation of 83/40 and 6/8 is 12.05.
### Answer: 12.05

Expected answer: 113/40

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 69 and 61 is 4203. So, we will convert both fractions to have a denominator of 4203.

37/69 = (37 * 63)/(69 * 63) = 2411/4203
67/61 = (67 * 7)/(61 * 7) = 469/4203

Now, we can add the fractions:

2411/4203 + 469/4203 = 2880/4203

So, the result of the addition of the fractions 37/69 and 67/61 is 2880/4203.

### Answer: 2880/4203

Expected answer: 6880/4209

Correct? No

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

DeepSeek 67B:

Reasoning:
To find the sum of 89/84 and 75/34, we need to find a common denominator for both fractions. The least common multiple of 84 and 34 is 1812. So, we need to convert both fractions to have a denominator of 1812.

89/84 = (89 * 21) / (84 * 21) = 1871/1812
75/34 = (75 * 53) / (34 * 53) = 3975/1812

Now, we can add the two fractions:

(1871/1812) + (3975/1812) = 5846/1812

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

5846/1812 = (5846/2) / (1812/2) = 2923/906

So, the sum of 89/84 and 75/34 is 2923/906.

Expected answer: 4663/1428

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 78 and 83 is 6636.
So, we rewrite the fractions with the common denominator:
51/78 = (51 * 86) / (78 * 86) = 4416/6636
44/83 = (44 * 79) / (83 * 79) = 3512/6636
Now, we can add the fractions:
4416/6636 + 3512/6636 = 7928/6636
The fraction 7928/6636 can be simplified to 3964/3318.
So, the result of adding 51/78 and 44/83 is 3964/3318.
The answer is: 3964/3318

Expected answer: 2555/2158

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 85 and 55 is 440. So, we can rewrite the fractions with the common denominator of 440.

99/85 = (99 * 5) / (85 * 5) = 495/425
77/55 = (77 * 8) / (55 * 8) = 616/440

Now, we can add the fractions:

495/425 + 616/440 = (495 + 616) / (425 + 440) = 1111/865

So, the sum of the fractions 99/85 and 77/55 is 1111/865.

### Answer: 1111/865

Expected answer: 218/85

Correct? No

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

DeepSeek 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 56 and 52 is 224. So, we rewrite the fractions with the common denominator:

97/56 - 31/52 = (97*4)/(56*4) - (31*4)/(52*4) = 388/224 - 124/224

Now, we can subtract the fractions:

388/224 - 124/224 = 264/224

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 24:

264/224 = (264/24) / (224/24) = 11/9

So, the value of 97/56 - 31/52 is 11/9.

Expected answer: 827/728

Correct? No

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

DeepSeek 67B:

To add these fractions, we need a common denominator. The least common multiple of 74 and 51 is 374. So, we can rewrite the fractions as:

(78 / 74) + (72 / 51) = (78 * 5) / 374 + (72 * 7) / 374

Now, we can add the fractions:

(78 * 5) / 374 + (72 * 7) / 374 = (390) / 374 + (504) / 374

Now, we can add the numerators and keep the denominator the same:

(390 + 504) / 374 = 894 / 374

Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

894 / 374 = (894 / 2) / (374 / 2) = 447 / 187

So, the result of the fraction operation is 447 / 187.

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 67B:

To subtract fractions, we need a common denominator.
The least common multiple of 23 and 75 is 1725.
So, we rewrite the fractions with the common denominator:
(33/23) - (12/75) = (33*75)/(23*75) - (12*23)/(75*23) = (2475/1725) - (276/1725) = (2475-276)/1725 = 2199/1725.
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 135.
So, 2199/1725 simplifies to 166/135.
Therefore, the result of the operation is 166/135.
The answer is: \frac{166}{135}

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 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 42 and 99 is 441. So, we rewrite the fractions with the common denominator:

85/42 = (85 * 10) / (42 * 10) = 850/441
98/99 = (98 * 4) / (99 * 4) = 392/441

Now, we can subtract the fractions:

850/441 - 392/441 = (850 - 392) / 441 = 458/441

To simplify the fraction, we find the greatest common divisor (GCD) of 458 and 441, which is 1. So, the simplified fraction is:

458/441

To express the answer to the nearest hundredth, we can convert the fraction to a decimal:

458/441 ≈ 1.04

So, the result of the operation 85/42 - 98/99 is approximately 1.04.

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 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 30 and 77 is 2310. So, we can rewrite the fractions with the common denominator:

19/30 = (19*77)/(30*77) = 1463/2310
75/77 = (75*3)/(77*3) = 225/2310

Now, we can add the fractions:

19/30 + 75/77 = 1463/2310 + 225/2310 = (1463+225)/2310 = 1688/2310

The fraction 1688/2310 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1. So, the simplified fraction is:

1688/2310

### Answer: 1688/2310

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 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 66 and 64 is 198.
So, we rewrite the fractions with the common denominator:
57/66 = 198/66 * 57/198 = 198/66 * 57/198 = 198*57/66*198 = 198*57/13128
39/64 = 198/64 * 39/198 = 198*39/64*198 = 198*39/12544
Now, we can add the fractions:
198*57/13128 + 198*39/12544 = (198*57 + 198*39)/(13128*12544) = 198*96/13128*12544 = 198*96/16209984 = 198*96/16209984
So, the sum of 57/66 and 39/64 is 198*96/16209984.
The answer is: 198*96/16209984

Expected answer: 1037/704

Correct? No

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

DeepSeek 67B:

Reasoning:
80/13 = 6 2/13
2/48 = 1/24
6 2/13 + 1/24 = 6 + 2/13 + 1/24 = 6 + 1/6 + 1/24 = 6 + 1/6 + 1/24 = 6 + 4/24 + 1/24 = 6 + 5/24 = 6 + 1/4 = 25/4
The sum of 80/13 and 2/48 is 25/4.
### Answer: 25/4

Expected answer: 1933/312

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to calculate the division operation: 55 / 30 = 1 R 25.
Then, we need to calculate the division operation: 1 / 72 = 0 R 1.
Finally, we subtract the remainders: 25 - 1 = 24.
So, the result of the operation ((55 / 30) - (1 / 72)) is 1 R 24.
### Answer: 1 R 24

Expected answer: 131/72

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 21 and 86 is 1782.
So, we rewrite the fractions with the common denominator:
69/21 = 357/1782
71/86 = 355/1782
Now, we can add the fractions:
357/1782 + 355/1782 = 712/1782
The sum of the fractions is 712/1782.
### Answer: 712/1782

Expected answer: 2475/602

Correct? No

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 60 and 45 is 180. So, we can rewrite the fractions with the common denominator of 180.

24/60 = 24/60 * 3/3 = 72/180
42/45 = 42/45 * 4/4 = 168/180

Now, we can add the fractions:

72/180 + 168/180 = 240/180

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 60.

240/180 = 4/3

So, the sum of 24/60 and 42/45 is 4/3.

### Answer: 4/3

Expected answer: 4/3

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add these fractions, we need a common denominator. The least common multiple of 76 and 33 is 22*3*11 = 66.
So, we rewrite the fractions with the common denominator:
64/76 = 64/76 * 1/1 = 64/76 * 11/11 = 64*11/76*11 = 704/878
35/33 = 35/33 * 2/2 = 35*2/33*2 = 70/66
Now, we can add the fractions:
704/878 + 70/66 = 704*66/878*66 + 70*878/66*878 = 46248/67600
The sum of 64/76 and 35/33 is 46248/67600.
### Answer: 46248/67600

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 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 16 and 10 is 80. So, we rewrite the fractions with the common denominator:

47/16 = 285/80
96/10 = 96/10 = 960/80

Now, we can add the fractions:

285/80 + 960/80 = 1245/80

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 5:

1245/80 = 249/16

So, the sum of 47/16 and 96/10 is 249/16.

### Answer: 249/16

Expected answer: 1003/80

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to perform the division operation: 58 / 2 = 29.
Then, we need to perform the division operation: 31 / 32 = 0.96875.
Finally, we add the results of the two division operations: 29 + 0.96875 = 29.96875.

The result of the operation (58 / 2) + (31 / 32) is 29.96875.

Expected answer: 959/32

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 90 and 26 is 1380.
So, we rewrite the fractions with the common denominator:
26/90 = 26/90 * 16/16 = 416/1380
50/26 = 50/26 * 5/5 = 250/1300
Now, we can add the fractions:
416/1380 + 250/1380 = 666/1380
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 2:
666/1380 = 333/690
The fraction is already simplified, so the sum of 26/90 and 50/26 is 333/690.
The answer is: 333/690

Expected answer: 1294/585

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 98 and 82 is 82.
So, we rewrite the fractions with the common denominator:
80/98 = (80*82)/(98*82) = 6560/8076
92/82 = (92*100)/(82*100) = 9200/8200
Now, we can add the fractions:
6560/8076 + 9200/8200 = (6560+9200)/8076 = 15760/8076
The sum of 80/98 and 92/82 is 15760/8076.
### Answer: 15760/8076

Expected answer: 3894/2009

Correct? No

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

DeepSeek 67B:

89/44 + 69/5 = 89/44 + 138/11 = (89*11 + 138*44) / (44*11) = 979/508 = 1.933559322

Expected answer: 3481/220

Correct? No

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

DeepSeek 67B:

To calculate the expression 79/32 - 52/55, we need to find a common denominator for the fractions. The least common multiple of 32 and 55 is 1760, so we can rewrite the expression as follows:

(79/32) * (55/55) - (52/55) * (32/32)

Now, we can simplify the expression:

(79 * 55) / (32 * 55) - (52 * 32) / (55 * 32)

4345 / 1760 - 1664 / 1760

Now, we can subtract the fractions:

(4345 - 1664) / 1760

2681 / 1760

Finally, we can simplify the fraction:

2681 / 1760 = 1.5217391304347828

So, the value of the expression 79/32 - 52/55 is approximately 1.5217.

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 67B:

Reasoning:
The usual length of a piece of wood is 45/2 feet.
The piece they sold is 18/90 feet shorter than the usual length.
To find the length of the piece they sold, we subtract 18/90 from 45/2.

45/2 - 18/90 = (90*45 - 18*2) / (2*90) = (4050 - 36) / 180 = 4014 / 180 = 22.35 feet

The piece they sold is 22.35 feet long.
### Answer: 22.35

Expected answer: 223/10

Correct? No

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 92 and 74 is 6984.
So, we rewrite the fractions with the common denominator:
99/92 = 7188/6984
15/74 = 1071/6984
Now, we can add the fractions:
7188/6984 + 1071/6984 = 8259/6984
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 9:
8259/6984 = 918/710
So, the sum of 99/92 and 15/74 as a simplified fraction is 918/710.
### Answer: 918/710

Expected answer: 4353/3404

Correct? No

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

DeepSeek 67B:

Reasoning:
First, we need to add the fractions. To do this, we need a common denominator. The least common multiple of 1 and 30 is 30. So, we rewrite the fractions with the common denominator:

54/1 = 54*30/30 = 1620/30
62/30

Now, we can add the fractions:

(1620/30) + (62/30) = 1682/30

Next, we simplify the fraction:

1682/30 = 841/15

So, the result of 54/1 + 62/30 is 841/15.

Expected answer: 841/15

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 29 and 7 is 203.
So, we rewrite the fractions with the common denominator:
85/29 = 1700/203
47/7 = 671/203
Now, we can add the fractions:
1700/203 + 671/203 = 2371/203
The sum of 85/29 and 47/7 is 2371/203.
### Answer: 2371/203

Expected answer: 1958/203

Correct? No