Problem: John has been learning to add and subtract fractions at school. He was given a problem during his homework that puzzled him. He had to take the sum of 48/56 and 95/23 and then subtract 34/26 from the result. What was the value that John found for this operation? Answer in simplest form.

DeepSeek 67B:

Reasoning:
To solve this problem, we need to perform the following operations:
1. Add 48/56 and 95/23.
2. Subtract 34/26 from the result.

Step 1: Add 48/56 and 95/23
To add these fractions, we need a common denominator. The least common multiple of 56 and 23 is 1284. So, we need to convert both fractions to have a denominator of 1284.

48/56 = (48 * 23) / (56 * 23) = 1104 / 1284
95/23 = (95 * 5) / (23 * 5) = 475 / 1284

Now, we can add the fractions:
1104/1284 + 475/1284 = 1579/1284

Step 2: Subtract 34/26 from the result
To subtract 34/26, we need to convert it to have a denominator of 1284.

34/26 = (34 * 5) / (26 * 5) = 170 / 1284

Now, we can subtract the fractions:
1579/1284 - 170/1284 = 1409/1284

The final answer is 1409/1284, which is already in simplest form.

Expected answer: 7702/2093

Correct? No

Problem: First, add the fractions 88/9 and 28/65. Then subtract the fraction 18/37 from the result. What is the result expressed as a simple fraction?

DeepSeek 67B:

Reasoning:
First, we need to find a common denominator for the fractions 88/9 and 28/65. The least common multiple of 9 and 65 is 585. So, we can rewrite the fractions as:
88/9 = 520/585
28/65 = 168/585

Now, we can add the fractions:
520/585 + 168/585 = 688/585

Next, we need to subtract the fraction 18/37 from the result. To do this, we need to find a common denominator for 688/585 and 18/37. The least common multiple of 585 and 37 is 21525. So, we can rewrite the fractions as:
688/585 = 15936/21525
18/37 = 1260/21525

Now, we can subtract the fractions:
15936/21525 - 1260/21525 = 14676/21525

Finally, we can simplify the fraction 14676/21525 to its simplest form. The greatest common divisor of 14676 and 21525 is 21. So, we can divide both the numerator and the denominator by 21:
14676/21525 = (14676/21) / (21525/21) = 696/1025

Therefore, the result is 696/1025.

Expected answer: 210434/21645

Correct? No

Problem: What is the result of (63 / 41) + (44 / 50) when simplified to the lowest terms?

DeepSeek 67B:

Reasoning:
First, we need to find the greatest common divisor (GCD) of the numerators and denominators of the fractions.
The GCD of 63 and 41 is 1, and the GCD of 44 and 50 is 2.
Next, we simplify the fractions by dividing the numerators and denominators by their respective GCDs.
(63 / 41) simplifies to 1.
(44 / 50) simplifies to 22 / 25.
Finally, we add the simplified fractions together.
1 + 22 / 25 = 1 + 22 / 25 = 26 / 25.
The result is 26 / 25.
### Answer: 26 / 25

Expected answer: 2477/1025

Correct? No

Problem: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. How much cake is there in total? Give your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To find the total amount of cake, we need to add the fractions representing the amount of cake John had and the amount of cake Emily added.

John had 71/41 of a cake and Emily added 41/77 of another cake.

To add these fractions, we need a common denominator. The least common multiple of 41 and 77 is 3153.

So, we rewrite the fractions with the common denominator:

John had (71/41) * (77/77) = 5547/3153 of a cake.
Emily added (41/77) * (41/41) = 1681/3153 of a cake.

Now, we can add the fractions:

Total amount of cake = (5547/3153) + (1681/3153) = 7228/3153

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 7228 and 3153 is 1.

So, the simplified fraction is 7228/3153.

### Answer: 7228/3153

Expected answer: 7148/3157

Correct? No

Problem: Calculate the result of 10/65 + 56/35. Answer as a simple fraction.

DeepSeek 67B:

To add fractions, we need a common denominator. The least common multiple of 65 and 35 is 35.
So, we rewrite the fractions with the common denominator:
10/65 + 56/35 = (10/65) * (1/1) + (56/35) * (2/2) = 10/65 + 112/70
Now, we can add the fractions:
10/65 + 112/70 = (10 * 2) / (65 * 2) + (112 * 1) / (70 * 1) = 20/130 + 112/70
To add the numerators, we add 20 and 112:
20/130 + 112/70 = (20 + 112) / (130 + 70) = 132/200
To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 4:
132/200 = (132/4) / (200/4) = 33/50
So, the result is 33/50.

Expected answer: 114/65

Correct? No

Problem: What is the result of adding 75/81 and 97/47? Leave your answer as an unsimplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 81 and 47 is 3777.
So, we rewrite the fractions with the common denominator:
75/81 = (75 * 46) / (81 * 46) = 3450/3777
97/47 = (97 * 80) / (47 * 80) = 7760/3777
Now, we can add the fractions:
3450/3777 + 7760/3777 = (3450 + 7760) / 3777 = 11210/3777
So, the result of adding 75/81 and 97/47 is 11210/3777.
### Answer: 11210/3777

Expected answer: 3794/1269

Correct? No

Problem: What is 88/1 - 38/53? Give your answer as a simplified fraction.

DeepSeek 67B:

88/1 - 38/53 = 88 \* 53 / (1 \* 53) - 38/53 = (88 \* 53 - 38) / 53 = 4644 - 38 = 4606 / 53 = 86 / 1 = 86

Expected answer: 4626/53

Correct? No

Problem: Evaluate the expression ((80 / 94) + (78 / 59)). What is the answer in simplified form?

DeepSeek 67B:

Reasoning:
To simplify the expression, we first need to find the common denominator for the fractions. The common denominator for 94 and 59 is 5466. Now, we can rewrite the fractions with the common denominator and add them together.

(80 / 94) + (78 / 59) = ((80 * 59) / (94 * 59)) + ((78 * 94) / (59 * 94))

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

((80 * 59) / (94 * 59)) + ((78 * 94) / (59 * 94)) = ((4720) / (5526)) + ((7572) / (5526))

Now, we can add the fractions:

((4720) / (5526)) + ((7572) / (5526)) = (4720 + 7572) / (5526) = 12292 / 5526

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

12292 / 5526 = 6146 / 2763

So, the simplified form of the expression ((80 / 94) + (78 / 59)) is 6146 / 2763.

Expected answer: 6026/2773

Correct? No

Problem: What is the sum of 89/56 and 48/50? Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 56 and 50 is 2800. So, we can rewrite the fractions with the common denominator as:

89/56 = (89 * 50) / (56 * 50) = 4450 / 2800
48/50 = (48 * 56) / (50 * 56) = 2688 / 2800

Now, we can add the fractions:

(4450 / 2800) + (2688 / 2800) = (4450 + 2688) / 2800 = 7138 / 2800

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 14:

7138 / 2800 = (7138 / 14) / (2800 / 14) = 511 / 200

So, the sum of 89/56 and 48/50 is 511/200.

Expected answer: 3569/1400

Correct? No

Problem: What is the result when you subtract 38/87 from the sum of 96/11 and 12/5? Please leave your answer as a fraction.

DeepSeek 67B:

First, we need to find the sum of 96/11 and 12/5.
To do this, we need to find a common denominator for 11 and 5, which is 55.
So, 96/11 can be rewritten as (96/11) * (5/5) = 480/55.
Now, we can add 480/55 and 12/5:
480/55 + 12/5 = 480/55 + 132/55 = 612/55.
Next, we need to subtract 38/87 from 612/55.
To do this, we need to find a common denominator for 55 and 87, which is 485.
So, 612/55 can be rewritten as (612/55) * (87/87) = 5388/485.
Now, we can subtract 38/87 from 5388/485:
5388/485 - 38/87 = 5388/485 - 440/485 = 4948/485.
Therefore, the result is 4948/485.
### Answer: 4948/485

Expected answer: 51154/4785

Correct? No

Problem: If you have a number that's 82 divided by 9 and from this you subtract 82 divided by 63, what's the resulting value? Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to find the values of 82 divided by 9 and 82 divided by 63.
82 divided by 9 is 9 and 2/9.
82 divided by 63 is 1 and 20/63.
Now, we subtract the two values:
9 and 2/9 - 1 and 20/63 = 8 and 1/9 - 1 and 20/63.
To subtract the whole numbers, we subtract 8 - 1 = 7.
To subtract the fractions, we need a common denominator. The least common multiple of 9 and 63 is 63.
So, we rewrite the fractions with the common denominator:
1/9 becomes 7/63.
20/63 remains the same.
Now, we subtract the fractions:
7/63 - 20/63 = -13/63.
Finally, we combine the whole number and the fraction:
7 - 13/63 = 6 and 13/63.
So, the resulting value is 6 and 13/63.
### Answer: 6 and 13/63

Expected answer: 164/21

Correct? No

Problem: Calculate the value of 23/3 minus the sum of 80/91 and 26/24. Answer as a simple fraction.

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 80/91 and 26/24. To do this, we need to find a common denominator for the two fractions. The least common multiple of 91 and 24 is 2184. So, we need to convert both fractions to have a denominator of 2184.

80/91 = (80 * 24) / (91 * 24) = 1920 / 2184
26/24 = (26 * 91) / (24 * 91) = 2356 / 2184

Now, we can add the two fractions:
1920 / 2184 + 2356 / 2184 = 4276 / 2184

Next, we need to subtract this sum from 23/3. To do this, we need to convert 23/3 to a fraction with a denominator of 2184.

23/3 = (23 * 728) / (3 * 728) = 16824 / 2184

Now, we can subtract the two fractions:
16824 / 2184 - 4276 / 2184 = 12548 / 2184

Finally, we need to simplify the fraction 12548 / 2184. The greatest common divisor of 12548 and 2184 is 14. So, we can divide both the numerator and the denominator by 14:

12548 / 2184 = (12548 / 14) / (2184 / 14) = 896 / 156

So, the value of 23/3 minus the sum of 80/91 and 26/24 is 896/156.

Expected answer: 6229/1092

Correct? No

Problem: What is the sum of 37/18 and 24/60 when simplified to the lowest terms?

DeepSeek 67B:

Reasoning:
First, we simplify the fractions:
37/18 = 185/90
24/60 = 12/30 = 6/15 = 2/5
Now, we add the fractions:
185/90 + 2/5 = 185/90 + 18/90 = 185/90 + 18/90 = 185/90 + 18/90 = 203/90
The sum of 37/18 and 24/60 is 203/90.
### Answer: 203/90

Expected answer: 221/90

Correct? No

Problem: Determine the sum of 33/41 and 95/62. Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 41 and 62 is 1278.
So, we rewrite the fractions with the common denominator:
33/41 = (33*31)/(41*31) = 1023/1278
95/62 = (95*2)/(62*2) = 190/1278
Now, we can add the fractions:
(1023/1278) + (190/1278) = (1023+190)/1278 = 1213/1278
The sum of 33/41 and 95/62 is 1213/1278.
### Answer: 1213/1278

Expected answer: 5941/2542

Correct? No

Problem: Solve ((30 / 11) + (72 / 38)) and then add the result to (81 / 34). Answer as a simplified fraction.

DeepSeek 67B:

First, we need to add the fractions (30/11) and (72/38). To do this, we need a common denominator. The least common multiple of 11 and 38 is 438, so we can rewrite the fractions with this denominator:

(30/11) = (30 * 38) / (11 * 38) = 1140 / 438
(72/38) = (72 * 11) / (38 * 11) = 8064 / 438

Now we can add the fractions:

(1140 / 438) + (8064 / 438) = (1140 + 8064) / 438 = 9204 / 438

Next, we need to simplify the fraction:

9204 / 438 = 21 * 438 / 3 * 146 = 21 / 3

Now we have the result of the first part of the problem: 21/3.

Next, we need to add this result to (81/34):

(21/3) + (81/34) = (21 * 34) / (3 * 34) + (81 * 1) / (34 * 1) = 714 / 102 + 81 / 34 = (714 + 81) / 102 = 795 / 102

Finally, we need to simplify the fraction:

795 / 102 = 5 * 102 / 3 * 34 = 5 / 1

So the final answer is 5.

Expected answer: 49773/7106

Correct? No

Problem: What is the result of adding (64 / 34) + (3 / 24) and then adding the result to (41 / 96)? Answer as a simplified fraction.

DeepSeek 67B:

First, we need to find a common denominator for (64 / 34) and (3 / 24). The least common multiple of 34 and 24 is 408, so we can rewrite the fractions as:

(64 / 34) = (64 * 12) / (34 * 12) = (768 / 408)
(3 / 24) = (3 * 17) / (24 * 17) = (51 / 408)

Now we can add the fractions:

(768 / 408) + (51 / 408) = (768 + 51) / 408 = 819 / 408

Next, we need to add the result to (41 / 96):

(819 / 408) + (41 / 96) = (819 * 2) / (408 * 2) + (41 * 4) / (96 * 4) = (1638 / 816) + (164 / 384)

Now we can add the fractions:

(1638 / 816) + (164 / 384) = (1638 + 164) / 816 = 1802 / 816

Finally, we can simplify the fraction:

1802 / 816 = 11 / 6

So the result is 11/6.

Expected answer: 3973/1632

Correct? No

Problem: Daniel has to solve a math problem for his homework that includes fractions. Initially, he has been asked to add 83/73 and 53/77. The result of this step he saved as 'w'. Then, he needs to add 80/76 to the result 'w'. How would he calculate the final answer in simplified fraction form?

DeepSeek 67B:

To solve this problem, we will first add 83/73 and 53/77, then add the result to 80/76.

Step 1: Add 83/73 and 53/77
To add these fractions, we need a common denominator. The least common multiple of 73 and 77 is 5522. So, we will convert both fractions to have a denominator of 5522.

83/73 = (83 * 76) / (73 * 76) = 6208/5522
53/77 = (53 * 73) / (77 * 73) = 3889/5522

Now, we can add the fractions:

6208/5522 + 3889/5522 = 10097/5522

So, the result of this step is w = 10097/5522.

Step 2: Add 80/76 to the result 'w'
To add 80/76 to 10097/5522, we need a common denominator. The least common multiple of 76 and 5522 is 5522. So, we will convert 80/76 to have a denominator of 5522.

80/76 = (80 * 73) / (76 * 73) = 5840/5522

Now, we can add the fractions:

10097/5522 + 5840/5522 = 15937/5522

So, the final answer in simplified fraction form is 15937/5522.

Expected answer: 307360/106799

Correct? No

Problem: Add the following fractions and simplify your answer: 27/20 and 14/66.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 20 and 66 is 660. So, we will convert both fractions to have a denominator of 660.

27/20 = (27 * 33) / (20 * 33) = 891/660
14/66 = (14 * 10) / (66 * 10) = 140/660

Now, we can add the fractions:

891/660 + 140/660 = (891 + 140) / 660 = 1031/660

To simplify the fraction, we need to find the greatest common divisor (GCD) of 1031 and 660. The GCD of 1031 and 660 is 1. So, the fraction is already simplified.

### Answer: 1031/660

Expected answer: 1031/660

Correct? Yes

Problem: What is the result of the expression ((32 / 14) - (22 / 47))? Write your answer as a simplified fraction.

DeepSeek 67B:

First, we simplify the fractions:
32/14 = 16/7
22/47

Next, we subtract the fractions:
(16/7) - (22/47) = (16*47)/(7*47) - (22*7)/(47*7) = (752/329) - (154/329) = (752-154)/329 = 598/329

Finally, we simplify the fraction:
598/329 = 1196/658 = 598/329

So, the result of the expression is 598/329.

Expected answer: 598/329

Correct? Yes

Problem: What is the sum of 74/61 and 41/53 expressed in fractions?

DeepSeek 67B:

Reasoning:
To add two fractions, we need a common denominator. The least common multiple of 61 and 53 is 3203.
So, we rewrite the fractions with the common denominator:
74/61 = (74*53)/(61*53) = 3902/3203
41/53 = (41*61)/(53*61) = 2506/3203
Now, we can add the fractions:
3902/3203 + 2506/3203 = 6408/3203
So, the sum of 74/61 and 41/53 is 6408/3203.
### Answer: 6408/3203

Expected answer: 6423/3233

Correct? No

Problem: First, find out the result of 94 / 2 - 74 / 57. Then add the result to 56 / 97. What fraction do you get?

DeepSeek 67B:

First, we need to simplify the fractions:
94 / 2 = 47
74 / 57 = 14 / 19
Now, we can perform the operations:
47 - 14 / 19 = 33 / 19
Now, we add this result to 56 / 97:
(33 / 19) + (56 / 97) = 1853 / 1867
So, the final fraction is 1853 / 1867.

Expected answer: 255877/5529

Correct? No

Problem: What is the sum of 14/89 and the sum of 24/34 and 44/87? Give your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 24/34 and 44/87.
To do this, we need a common denominator, which is the product of the two denominators, 34 and 87.
So, we have:
24/34 + 44/87 = (24*87)/(34*87) + (44*34)/(87*34) = 2112/3002 + 1508/3002 = 3620/3002
Now, we need to find the sum of 14/89 and 3620/3002.
Again, we need a common denominator, which is the product of the two denominators, 89 and 3002.
So, we have:
14/89 + 3620/3002 = (14*3002)/(89*3002) + (3620*89)/(3002*89) = 42030/277998 + 319380/277998 = 361410/277998
Finally, we simplify the fraction:
361410/277998 = 180705/138999 = 36141/27799 = 18070/13899
So, the sum of 14/89 and the sum of 24/34 and 44/87 is 18070/13899.
The answer is: 18070/13899

Expected answer: 180194/131631

Correct? No

Problem: What would you get if you add 73/30 to 8/60?

DeepSeek 67B:

Reasoning:
73/30 + 8/60 = 73/30 + 4/30 = 77/30
The answer is 77/30

Expected answer: 77/30

Correct? Yes

Problem: Suppose you have the following three fractions: 82/49, 45/60, and 99/59. If you add the first fraction (82/49) with the second one (45/60), call this result 'd'. Then, add 'd' to the third fraction (99/59). What would be the resulting sum? Please provide your answer as a simplified fraction.

DeepSeek 67B:

First, we need to find the least common denominator (LCD) of the three fractions. The LCD of 49, 60, and 59 is 2940.

Next, we convert each fraction to an equivalent fraction with the LCD as the denominator:

82/49 = (82 * 60) / (49 * 60) = 4920 / 2940
45/60 = (45 * 5) / (60 * 5) = 225 / 2940
99/59 = (99 * 5) / (59 * 5) = 495 / 2940

Now, we can add the fractions:

(4920 / 2940) + (225 / 2940) + (495 / 2940) = 5640 / 2940

Finally, we simplify the fraction:

5640 / 2940 = 2820 / 1470 = 1410 / 735 = 47 / 245

So, the resulting sum is 47/245.

Expected answer: 47429/11564

Correct? No

Problem: Solve the following two steps: first, subtract 76/30 from 91/16 and second, add the answer to 18/44. Round the final answer to the nearest hundredth.

DeepSeek 67B:

First, subtract 76/30 from 91/16:
91/16 - 76/30 = 1593/480 - 304/480 = 1289/480

Second, add the answer to 18/44:
1289/480 + 18/44 = 1289/480 + 27/110 = 1289/480 + 108/440 = 2377/480

Rounding the final answer to the nearest hundredth:
2377/480 ≈ 4.95

### Answer: 4.95

Expected answer: 9407/2640

Correct? No

Problem: Calculate the result of ((8 / 91) + (49 / 5)) and subtract (32 / 76) from the result. Provide your answer as a simplified fraction.

DeepSeek 67B:

First, we need to add the fractions (8/91) and (49/5). To do this, we need a common denominator, which is 455. So, we rewrite the fractions with the common denominator:

(8/91) + (49/5) = (8*5)/455 + (49*91)/455 = (40/455) + (4409/455)

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

(40/455) + (4409/455) = (40 + 4409)/455 = 4449/455

Next, we need to subtract the fraction (32/76) from the result. Again, we need a common denominator, which is 455. So, we rewrite the fraction with the common denominator:

(32/76) = (32*6)/455 = (192/455)

Now, we can subtract the fractions:

(4449/455) - (192/455) = (4449 - 192)/455 = 4257/455

Finally, we simplify the fraction:

4257/455 = 8514/910 = 17028/1820 = 8514/910

So, the result is 8514/910.

Expected answer: 81841/8645

Correct? No

Problem: Calculate the value of ((75 / 45) + (5 / 49)) first. Then add this value with 3 / 58. Provide the answer as a simple fraction.

DeepSeek 67B:

Reasoning:
First, we need to calculate the value of ((75 / 45) + (5 / 49)).

To do this, we can simplify the fractions:
75 / 45 = 5 / 3 (by dividing both numerator and denominator by 15)
5 / 49 remains the same.

Now, we can add the fractions:
(5 / 3) + (5 / 49)

To add these fractions, we need a common denominator. The least common multiple of 3 and 49 is 49. So, we can rewrite the fractions with the common denominator:
(5 * 16 / 3 * 16) + (5 / 49) = (80 / 48) + (5 / 49)

Now, we can add the fractions:
(80 / 48) + (5 / 49) = (80 * 49) / (48 * 49) + (5 * 48) / (49 * 48) = (3920 / 2352) + (240 / 2352) = (3920 + 240) / 2352 = 4160 / 2352

Now, we can simplify the fraction:
4160 / 2352 = 2080 / 1176 (by dividing both numerator and denominator by 2) = 1040 / 588 (by dividing both numerator and denominator by 2 again) = 520 / 294 (by dividing both numerator and denominator by 2) = 260 / 147 (by dividing both numerator and denominator by 2)

Now, we have the value of ((75 / 45) + (5 / 49)) as 260 / 147.

Next, we need to add this value with 3 / 58:
(260 / 147) + (3 / 58)

To add these fractions, we need a common denominator. The least common multiple of 147 and 58 is 147 * 58 = 8562. So, we can rewrite the fractions with the common denominator:
(260 * 58 / 147 * 58) + (3 * 25 * 147 / 58 * 25 * 147) = (15080 / 8562) + (11025 / 8562)

Now, we can add the fractions:
(15080 / 8562) + (11025 / 8562) = (15080 + 11025) / 8562 = 26105 / 8562

Now, we can simplify the fraction:
26105 / 8562 = 13052 / 4281 (by dividing both numerator and denominator by 5)

So, the final answer is 13052 / 4281.

Expected answer: 15521/8526

Correct? No

Problem: Calculate the answer to ((43 / 15) - (33 / 95)) and simplify it to its lowest terms.

DeepSeek 67B:

To simplify the expression ((43 / 15) - (33 / 95)), we first need to find a common denominator for the fractions. The least common multiple of 15 and 95 is 1425. So, we rewrite the fractions with the common denominator:

(43 / 15) - (33 / 95) = (43 * 95) / (15 * 95) - (33 * 15) / (95 * 15)

Now, we can subtract the fractions:

(43 * 95) / (15 * 95) - (33 * 15) / (95 * 15) = (4085 - 5475) / (1425 * 15)

Next, we simplify the numerator:

(4085 - 5475) / (1425 * 15) = (-1390) / (1425 * 15)

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of -1390 and 1425 * 15 is 5.

(-1390 / 5) / (1425 * 15 / 5) = (-278) / (285 * 3)

Finally, we can simplify the fraction further by dividing both the numerator and the denominator by their GCD. The GCD of -278 and 285 * 3 is 1.

(-278) / (285 * 3) = (-278) / (855)

So, the simplified expression is (-278) / (855).

Expected answer: 718/285

Correct? No

Problem: What is the sum of ((78 / 45) + (89 / 36)) added to itself? Answer as a simple fraction.

DeepSeek 67B:

First, we need to find the sum of ((78 / 45) + (89 / 36)).
To do this, we need to find a common denominator for 45 and 36, which is 180.
So, we have ((78 / 45) + (89 / 36)) = ((78 * 4) / 180) + ((89 * 5) / 180) = (312 / 180) + (445 / 180) = (312 + 445) / 180 = 757 / 180.

Now, we need to add this sum to itself.
So, we have ((78 / 45) + (89 / 36)) + ((78 / 45) + (89 / 36)) = (757 / 180) + (757 / 180) = (757 + 757) / 180 = 1514 / 180.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
So, we have (1514 / 2) / (180 / 2) = 757 / 90.

Therefore, the sum of ((78 / 45) + (89 / 36)) added to itself is 757 / 90.
### Answer: 757/90

Expected answer: 757/90

Correct? Yes

Problem: Let's consider that 93 is divided by 34 to get a fraction value, from which is subtracted another fraction 77/74. What would be the result as a simplified fraction?

DeepSeek 67B:

Reasoning:
First, we need to find the fraction value when 93 is divided by 34.
93 � 34 = 2.7352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352

Expected answer: 1066/629

Correct? No

Problem: Find the sum of 86/35 and 68/85. Express your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To find the sum of 86/35 and 68/85, we need to find a common denominator for the fractions. The least common multiple of 35 and 85 is 35*5 = 175.

Now, we can rewrite the fractions with the common denominator:
86/35 = (86*5)/175 = 430/175
68/85 = (68*2)/175 = 136/175

Now, we can add the fractions:
430/175 + 136/175 = 566/175

The sum of 86/35 and 68/85 is 566/175.

### Answer: 566/175

Expected answer: 114/35

Correct? No

Problem: What is the sum of 99/53 and 67/94 in simplest form?

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 53 and 94 is 4994.
So, we rewrite the fractions with the common denominator:
99/53 = (99*94)/53*94 = 9204/4994
67/94 = (67*53)/94*53 = 3581/4994
Now, we can add the fractions:
(9204/4994) + (3581/4994) = (9204+3581)/4994 = 12785/4994
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 1.
So, the simplified fraction is 12785/4994.
The sum of 99/53 and 67/94 in simplest form is 12785/4994.
### Answer: 12785/4994

Expected answer: 12857/4982

Correct? No

Problem: What is the simplified form of the fraction that results from 74/27 minus 56/33?

DeepSeek 67B:

Reasoning:
To subtract the fractions, we need a common denominator. The least common multiple of 27 and 33 is 297. So, we rewrite the fractions with the common denominator:

74/27 = (74 * 11) / (27 * 11) = 814/297
56/33 = (56 * 9) / (33 * 9) = 504/297

Now, we can subtract the fractions:

814/297 - 504/297 = 310/297

So, the simplified form of the fraction is 310/297.

### Answer: 310/297

Expected answer: 310/297

Correct? Yes

Problem: Find the result when you subtract 91/65 from the sum of 96/40 and 11/99. Leave your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 96/40 and 11/99.
To add these fractions, we need a common denominator. The least common multiple of 40 and 99 is 1980.
So, we rewrite the fractions with the common denominator:
96/40 = 240/1980
11/99 = 20/1980
Now, we can add the fractions:
240/1980 + 20/1980 = 260/1980
Next, we simplify the fraction:
260/1980 = 130/990
Now, we subtract 91/65 from the sum:
130/990 - 91/65 = 130/990 - 273/990
To subtract the fractions, we need a common denominator. The least common multiple of 990 and 990 is 990.
So, we rewrite the fractions with the common denominator:
130/990 = 130/990
273/990 = 273/990
Now, we can subtract the fractions:
130/990 - 273/990 = -143/990
The answer is: -143/990

Expected answer: 10/9

Correct? No

Problem: Calculate the sum of the following expressions: 1) Divide 10 by 5 and add that result to 35 divided by 27. This will give you a value h. 2) Then, add 47 divided by 99 to h. This will give you a value p. What is the value of p?

DeepSeek 67B:

Reasoning:
1) 10 divided by 5 is 2. 35 divided by 27 is approximately 1.2963. Adding 2 to 1.2963 gives us 3.2963.
2) 47 divided by 99 is approximately 0.4747. Adding 0.4747 to 3.2963 gives us 3.771.

So, the value of p is approximately 3.771.

Expected answer: 1120/297

Correct? No

Problem: Consider the fraction 90/81. Add it to 2/66 and simplify your answer to the simplest form. What is the result?

DeepSeek 67B:

Reasoning:
First, we need to add the fractions. To do this, we need a common denominator. The least common multiple of 81 and 66 is 198. So, we rewrite the fractions with the common denominator:

90/81 = 10/9 (by dividing both numerator and denominator by 9)
2/66 = 2/66 (no need to simplify)

Now, we can add the fractions:

(10/9) + (2/66) = (10*7/9*7) + (2/66) = 70/63 + 2/66

Now, we need to find a common denominator for 63 and 66. The least common multiple of 63 and 66 is 198. So, we rewrite the fractions with the common denominator:

70/63 = 10/9 (by multiplying both numerator and denominator by 10/10)
2/66 = 2/66 (no need to simplify)

Now, we can add the fractions:

(10/9) + (2/66) = (10*22/9*22) + (2/66) = 220/198 + 2/66

Now, we can add the fractions:

(220/198) + (2/66) = (220*3 + 2*33)/198*33 = 660 + 66/6276 = 66/6276

Now, we can simplify the fraction:

66/6276 = 1/96

So, the result of adding 90/81 and 2/66 and simplifying the answer to the simplest form is 1/96.

Expected answer: 113/99

Correct? No

Problem: If Oliver has a piece of ribbon that is 56/41 yards long and he gets another piece of the same length, how long would both pieces of ribbon be together?

DeepSeek 67B:

Reasoning: Oliver has 56/41 + 56/41 = <<56/41+56/41=112/41=2.7317073170731705>>2.7317073170731705 yards of ribbon.
### Answer: 2.7317073170731705

Expected answer: 112/41

Correct? No

Problem: What is the result of 92/75 + 66/92? Please give your answer as a simplified fraction.

DeepSeek 67B:

To add these fractions, we need a common denominator. The least common multiple of 75 and 92 is 1875. So, we can rewrite the fractions with the common denominator:

92/75 + 66/92 = (92*25)/(75*25) + (66*2)/(92*2) = 2300/1875 + 132/1875

Now, we can add the fractions:

2300/1875 + 132/1875 = (2300+132)/1875 = 2432/1875

So, the result is 2432/1875.

Expected answer: 6707/3450

Correct? No

Problem: What is the sum of 32/65 and 73/22? Leave your answer as an unsimplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 65 and 22 is 1430. So, we can rewrite the fractions with the common denominator:

32/65 = (32 * 22) / (65 * 22) = 704/1430
73/22 = (73 * 65) / (22 * 65) = 4795/1430

Now, we can add the fractions:

(704/1430) + (4795/1430) = (704 + 4795) / 1430 = 5500/1430

So, the sum of 32/65 and 73/22 is 5500/1430.

### Answer: 5500/1430

Expected answer: 5449/1430

Correct? No

Problem: What is the difference between 51/34 and 12/86? Express your answer in its simplest form.

DeepSeek 67B:

Reasoning:
To find the difference between two fractions, we subtract the second fraction from the first fraction.

51/34 - 12/86 = 51/34 - 12/86 = (51*86 - 12*34) / (34*86) = 4422 - 408 = 3914 / 3044 = 1957/1522

The difference between 51/34 and 12/86 is 1957/1522.

### Answer: 1957/1522

Expected answer: 117/86

Correct? No

Problem: First take the whole number 51 and add it to the fraction 93/8. Take that sum and add it to the fraction 58/44. What is the final result as a simplified fraction?

DeepSeek 67B:

Reasoning:
First, we need to add the whole number 51 to the fraction 93/8.
51 + 93/8 = 51 + 11.625 = 62.625

Next, we need to add the result (62.625) to the fraction 58/44.
62.625 + 58/44 = 62.625 + 1.3181818181818182 = 63.94318181818182

To express this as a simplified fraction, we need to find the common denominator for 1 and 44, which is 44.

So, 63.94318181818182 = 63 + 44/44 = 63 + 1 = 64

Therefore, the final result as a simplified fraction is 64.
### Answer: 64

Expected answer: 5627/88

Correct? No

Problem: Calculate the result of the following fraction subtraction: 82/5 - 98/25. Write the answer in the simplest form.

DeepSeek 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 5 and 25 is 25. So, we rewrite the fractions with the common denominator:

82/5 = (82 * 5) / (5 * 5) = 410/25

Now, we can subtract the fractions:

410/25 - 98/25 = (410 - 98) / 25 = 312/25

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

312/25 = (312/2) / (25/2) = 156/12.5

So, the result of the fraction subtraction is 156/12.5.

Expected answer: 312/25

Correct? Yes

Problem: Calculate (64 / 50) + (70 / 22) and provide your answer as an unsimplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 50 and 22 is 1100. So, we can rewrite the fractions with the common denominator as:

(64 / 50) + (70 / 22) = (64 * 22 / 50 * 22) + (70 * 50 / 22 * 50)

Now, we can add the fractions:

(64 * 22 / 50 * 22) + (70 * 50 / 22 * 50) = (1408 / 1100) + (3500 / 1100)

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

(1408 / 1100) + (3500 / 1100) = (1408 + 3500) / 1100 = 4908 / 1100

So, the answer is 4908 / 1100.

Expected answer: 1227/275

Correct? Yes

Problem: John calculated s by adding 24 divided by 6 to 40 divided by 53. He then added s to itself to get b. Can you find the value of b?

DeepSeek 67B:

Reasoning:
First, we need to calculate the value of s.
24 divided by 6 is 4.
40 divided by 53 is approximately 0.7547.
So, s = 4 + 0.7547 = 4.7547.

Next, we need to calculate the value of b.
b = s + s = 4.7547 + 4.7547 = 9.5094.

Therefore, the value of b is 9.5094.
### Answer: 9.5094

Expected answer: 504/53

Correct? No

Problem: Calculate ((80 / 90) + (52 / 11)) and express your answer as a mixed number.

DeepSeek 67B:

First, we need to find the sum of the two fractions:

(80 / 90) + (52 / 11) = 8 / 9 + 52 / 11

To add these fractions, we need a common denominator. The least common multiple of 9 and 11 is 99, so we can rewrite the fractions with this denominator:

8 / 9 + 52 / 11 = (8 * 11) / 99 + (52 * 9) / 99 = 88 / 99 + 468 / 99

Now we can add the fractions:

(88 / 99) + (468 / 99) = 556 / 99

To express this fraction as a mixed number, we need to divide the numerator by the denominator:

556 / 99 = 5 R 58

So, the mixed number is 5 58/99.

Expected answer: 556/99

Correct? No

Problem: Calculate the sum of 12/18 and 91/74. Express your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 18 and 74 is 18*4 = 72.
So, we rewrite the fractions with the common denominator:
12/18 = 48/72
91/74 = 455/72
Now, we can add the fractions:
48/72 + 455/72 = 503/72
So, the sum of 12/18 and 91/74 is 503/72.
### Answer: 503/72

Expected answer: 421/222

Correct? No

Problem: Find the sum of the fractions 7/2 and 51/25. Write your answer as a simple fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 2 and 25 is 50. So, we rewrite the fractions with the common denominator of 50:

7/2 = 35/50
51/25 = 204/50

Now, we can add the fractions:

35/50 + 204/50 = 239/50

So, the sum of the fractions 7/2 and 51/25 is 239/50.

### Answer: 239/50

Expected answer: 277/50

Correct? No

Problem: Calculate the following expression: ((68 / 69) + (93 / 7)) is a monomial. Add this to (3 / 46). Provide the resulting value as a simple fraction.

DeepSeek 67B:

First, we need to simplify the expression ((68 / 69) + (93 / 7)).

To do this, we need to find a common denominator for 69 and 7, which is 483.

So, we rewrite the expression as ((68 / 69) + (93 / 7)) = ((68 * 7) / (69 * 7) + (93 * 69) / (7 * 69)) = (476 / 483 + 6237 / 483).

Now, we can add the fractions: (476 / 483 + 6237 / 483) = (476 + 6237) / 483 = 6713 / 483.

Next, we need to add this to (3 / 46).

To do this, we need to find a common denominator for 483 and 46, which is 2181.

So, we rewrite the expression as (6713 / 483 + 3 / 46) = (6713 * 4) / (483 * 4) + (3 * 483) / (46 * 483) = (26852 / 1932 + 1449 / 2181).

Now, we can add the fractions: (26852 / 1932 + 1449 / 2181) = (26852 + 1449) / 1932 = 28291 / 1932.

Finally, we simplify the fraction: 28291 / 1932 = 141455 / 9660.

So, the resulting value is 141455 / 9660.
The answer is: 141455/9660

Expected answer: 13849/966

Correct? No

Problem: What is the result of adding 31/98 to 60/4? Answer as a simplified fraction.

DeepSeek 67B:

To add these fractions, we need a common denominator. The least common multiple of 98 and 4 is 98. So, we can rewrite the fractions with the common denominator:

31/98 + 60/4 = 31/98 + 450/98

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

(31 + 450)/98 = 481/98

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

481/98 = 481/98

So, the result of adding 31/98 to 60/4 is 481/98.

Expected answer: 1501/98

Correct? No

Problem: Calculate ((3 / 2) + (24 / 36)) and state your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to add the fractions (3/2) and (24/36). To do this, we need a common denominator. The least common multiple of 2 and 36 is 36. So, we rewrite the fractions with the common denominator:

(3/2) = (3 * 18) / (2 * 18) = 54/36

Now, we can add the fractions:

(54/36) + (24/36) = (54 + 24) / 36 = 78/36

Next, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 18:

(78/36) = (78/18) / (36/18) = 4.333333333333333

So, the answer is 4.333333333333333.

Expected answer: 13/6

Correct? No

Problem: Firstly, calculate the sum of 92/54 and 90/13, then from the result take away 46/41. What's the result as a simplified fraction?

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 92/54 and 90/13.
To do this, we need to find a common denominator for the fractions.
The least common multiple of 54 and 13 is 678.
So, we can rewrite the fractions as:
92/54 = 1624/678
90/13 = 630/678
Now, we can add the fractions:
1624/678 + 630/678 = 2254/678
Next, we need to subtract 46/41 from the result.
To do this, we need to find a common denominator for the fractions.
The least common multiple of 678 and 41 is 2766.
So, we can rewrite the fractions as:
2254/678 = 4508/2766
46/41 = 1146/2766
Now, we can subtract the fractions:
4508/2766 - 1146/2766 = 3362/2766
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
3362/2766 = 1681/1383
So, the result is 1681/1383.

Expected answer: 108002/14391

Correct? No

Problem: What is twice the value of 29/23? Simplify your answer to the simplest form.

DeepSeek 67B:

Reasoning:
Twice the value of 29/23 is 2 * (29/23).
To simplify this expression, we can multiply the numerator and the denominator by 2.
This gives us 2 * (29/23) = (2 * 29) / (2 * 23) = 58/46.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
This gives us 58/46 = 29/23.
Therefore, twice the value of 29/23 is 29/23.
The answer is: 29/23

Expected answer: 58/23

Correct? No

Problem: What is the sum of 29/20 and 17/72? Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 20 and 72 is 480. So, we convert both fractions to have a denominator of 480.

29/20 = (29 * 24) / (20 * 24) = 696/480
17/72 = (17 * 6) / (72 * 6) = 102/480

Now, we can add the fractions:

(696/480) + (102/480) = (696 + 102) / 480 = 798/480

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 18:

798/480 = (798/18) / (480/18) = 44/26

So, the sum of 29/20 and 17/72 is 44/26.

### Answer: 44/26

Expected answer: 607/360

Correct? No

Problem: Calculate the value of this expression: ((36 / 27) + (80 / 10)) - (73 / 79). Simplify your answer as much as possible.

DeepSeek 67B:

First, we simplify the fractions:

36 / 27 = 4 / 3
80 / 10 = 8
73 / 79 = 73 / 79

Now, we substitute the simplified fractions back into the expression:

((4 / 3) + 8) - (73 / 79)

Next, we perform the addition and subtraction:

(4 / 3 + 8) - (73 / 79) = (16 / 3) - (73 / 79)

To subtract the fractions, we need a common denominator. The least common multiple of 3 and 79 is 237. So, we rewrite the fractions with the common denominator:

(16 / 3) - (73 / 79) = (16 * 79 / 3 * 79) - (73 * 3 / 79 * 3) = (1324 / 237) - (219 / 237)

Now, we perform the subtraction:

(1324 / 237) - (219 / 237) = (1324 - 219) / 237 = 1105 / 237

So, the simplified value of the expression is 1105 / 237.

Expected answer: 1993/237

Correct? No

Problem: What is the answer to (86 / 71) + (91 / 75)? Answer as a decimal to the nearest hundredth.

DeepSeek 67B:

Reasoning:
To add the two fractions, we first need to find a common denominator. The least common multiple of 71 and 75 is 5325. So, we can rewrite the fractions with the common denominator as:

(86 * 75) / 5325 + (91 * 71) / 5325

Now, we can add the fractions:

(6460 + 6491) / 5325 = 12951 / 5325

To get the decimal representation, we divide the numerator by the denominator:

12951 / 5325 = 2.43 (rounded to the nearest hundredth)

Answer: 2.43

Expected answer: 12911/5325

Correct? No

Problem: Calculate the following, and express the result as a simplified fraction: ((21 / 75) + (74 / 43)) + (10 / 62)

DeepSeek 67B:

First, we need to find a common denominator for the fractions. The least common multiple of 75, 43, and 62 is 1815.

Next, we convert each fraction to have a denominator of 1815:

(21 / 75) = (21 * 24 / 75 * 24) = (504 / 1815)
(74 / 43) = (74 * 4 * 1 / 43 * 4 * 1) = (296 / 1815)
(10 / 62) = (10 * 3 * 1 / 62 * 3 * 1) = (30 / 1815)

Now, we can add the fractions:

((504 / 1815) + (296 / 1815)) + (30 / 1815) = (504 + 296 + 30) / 1815 = 830 / 1815

Finally, we simplify the fraction:

830 / 1815 = 166 / 363

So, the result is 166/363.

Expected answer: 72056/33325

Correct? No

Problem: Compute ((75 / 66) + (81 / 61)), and give your answer as a fraction reduced to its lowest term.

DeepSeek 67B:

First, we simplify the fractions:
75/66 = 15/13
81/61 = 9/7
Now, we add the fractions:
(15/13) + (9/7) = (15*7 + 9*13) / (13*7) = 105/91
So, the answer is 105/91.

Expected answer: 3307/1342

Correct? No

Problem: Consider two identical fractions, t, each equal to sum of 53/18 and 21/99. Find the total sum, l, of these fractions and present your answer as a simple fraction.

DeepSeek 67B:

Reasoning:
To find the total sum of the two identical fractions, we first need to find the value of one fraction. The fractions are equal to the sum of 53/18 and 21/99. We can add these fractions together to find the value of one fraction.

53/18 + 21/99 = (53*5 + 21*2)/(18*5*99) = 265/1782

Now that we have the value of one fraction, we can find the total sum of the two identical fractions by multiplying the value of one fraction by 2.

2 * (265/1782) = 530/1782

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 530 and 1782 is 2.

530/2 = 265
1782/2 = 891

So, the simplified fraction is 265/891.

### Answer: 265/891

Expected answer: 625/99

Correct? No

Problem: First, calculate the result of 58/49 + 31/34. Then, add that result to the fraction 74/38. What is the final result as a simple fraction?

DeepSeek 67B:

First, we need to find a common denominator for the fractions 58/49 and 31/34, which is 49*34 = 1666.
Next, we convert the fractions to have the common denominator:
58/49 becomes (58*34)/(49*34) = 1972/1666
31/34 becomes (31*49)/(34*49) = 1519/1666
Now, we can add the two fractions:
1972/1666 + 1519/1666 = 3491/1666
Finally, we add this result to the fraction 74/38:
(3491/1666) + (74*43)/(38*43) = 3491/1666 + 1062/1666 = 4553/1666
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 1:
4553/1666 = 4553/1666
Therefore, the final result is 4553/1666 as a simple fraction.
#### 4553/1666

Expected answer: 127971/31654

Correct? No

Problem: Calculate the sum of 100 divided by 76 and 29 divided by 14. Please provide your answer as a simplified fraction or decimal.

DeepSeek 67B:

100/76 = 1.3157894736842105
29/14 = 2.0714285714285714
The sum of these two values is 3.387217545112782.
### Answer: 3.387217545112782

Expected answer: 901/266

Correct? No

Problem: Given that Evan has read 51/18 of his novel, and Olivia has read (8/42) after reading the same amount of novel as Evan, how much of the novel has Olivia read in total? Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
Let's first find out how much of the novel Olivia has read after reading the same amount as Evan.
Evan has read 51/18 of the novel, so Olivia has read 51/18 of the novel as well.
Now, let's add the amount Olivia has read after reading the same amount as Evan.
Olivia has read (8/42) of the novel after reading the same amount as Evan.
So, in total, Olivia has read (51/18) + (8/42) of the novel.
To add these fractions, we need a common denominator, which is 18*42 = 756.
(51/18) + (8/42) = (51*42)/18*42 + (8*18)/18*42 = 2178/756 + 144/756 = 2322/756
Now, let's simplify the fraction 2322/756.
The greatest common divisor of 2322 and 756 is 18, so we can divide both the numerator and the denominator by 18.
2322/18 = 129, 756/18 = 42
So, Olivia has read 129/42 of the novel in total.
The answer is: 129/42

Expected answer: 127/42

Correct? No

Problem: What is the sum of 48 divided by 13 and 31 divided by 22? Answer as a fraction or a decimal.

DeepSeek 67B:

48/13 = 3.6923076923076925
31/22 = 1.4090909090909091
The sum of 48/13 and 31/22 is 3.6923076923076925 + 1.4090909090909091 = 5.1013985914076015
### Answer: 5.1013985914076015

Expected answer: 1459/286

Correct? No

Problem: First, find the value of 24/86 + 76/77. Subtract your answer from 27/6. Write out your process and show your work.

DeepSeek 67B:

First, we need to find a common denominator for the fractions 24/86 and 76/77. The least common multiple of 86 and 77 is 6534, so we can rewrite the fractions as:

24/86 = 1512/6534
76/77 = 9168/6534

Now we can add the fractions:

1512/6534 + 9168/6534 = 10680/6534

Next, we need to subtract this sum from 27/6:

27/6 - 10680/6534

To subtract the fractions, we need a common denominator. The least common multiple of 6 and 6534 is 6534, so we can rewrite the fractions as:

27/6 = 27 \* 1085 = 28305/6534

Now we can subtract the fractions:

28305/6534 - 10680/6534 = 17625/6534

So, the value of 24/86 + 76/77 - 27/6 is 17625/6534.

Expected answer: 21415/6622

Correct? No

Problem: Find the sum of 73/39 and 49/14, and express your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 39 and 14 is 156. So, we rewrite the fractions with the common denominator:

73/39 = (73 * 4) / (39 * 4) = 292/156
49/14 = (49 * 11) / (14 * 11) = 539/156

Now, we can add the fractions:

(292/156) + (539/156) = (292 + 539) / 156 = 831/156

To simplify the fraction, we find the greatest common divisor (GCD) of 831 and 156, which is 3:

831/3 = 277
156/3 = 52

So, the simplified fraction is 277/52.

### Answer: 277/52

Expected answer: 419/78

Correct? No

Problem: What is the sum of 75/65 and 7/39? Simplify your answer.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 65 and 39 is 2415.
So, we rewrite the fractions with the common denominator:
75/65 = 1578/2415
7/39 = 171/2415
Now, we can add the fractions:
1578/2415 + 171/2415 = 1749/2415
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 9:
1749/2415 = 194/269
So, the sum of 75/65 and 7/39 is 194/269.
### Answer: 194/269

Expected answer: 4/3

Correct? No

Problem: First, calculate 79/1 - 30/92. Then, subtract 61/63 from the result. What value do you get?

DeepSeek 67B:

First, we need to find a common denominator for the fractions 1 and 92, which is 92.
So, 79/1 - 30/92 = 79*92/92 - 30/92 = 7252/92 - 30/92 = 7222/92.
Next, we need to find a common denominator for the fractions 61/63 and 7222/92, which is 63*92 = 5856.
So, 7222/92 - 61/63 = 7222*63/5856 - 61*92/5856 = 456156/5856 - 5612/5856 = 450544/5856.
Therefore, the value we get is 450544/5856.
### Answer: 450544/5856

Expected answer: 225191/2898

Correct? No

Problem: Calculate (58 / 26) + (58 / 26), and express your answer in simplest form.

DeepSeek 67B:

Reasoning:
We can simplify the expression by factoring out the common terms.
(58 / 26) + (58 / 26) = 2 * (58 / 26)
= 2 * 2
= 4
So, the answer is 4.
The answer is: 4

Expected answer: 58/13

Correct? No

Problem: If Alex has 69/63 gallons of orange juice and he bought additional 77/5 gallons, giving him a total of 'k' gallons. Later, he received another 47/71 gallons of orange juice from Sally. How many gallons did Alex have in total?

DeepSeek 67B:

Reasoning:
Alex initially had 69/63 gallons of orange juice.
He bought an additional 77/5 gallons, so he had 69/63 + 77/5 = 345/315 + 462/315 = 807/315 gallons.
He received another 47/71 gallons from Sally, so he had 807/315 + 47/71 = 5742/2205 + 329/2205 = 6071/2205 gallons.
To find the total number of gallons Alex had, we need to simplify the fraction 6071/2205.
The greatest common divisor of 6071 and 2205 is 1, so the fraction is already in its simplest form.
Therefore, Alex had a total of 6071/2205 gallons.
### Answer: 6071/2205

Expected answer: 127907/7455

Correct? No

Problem: What is the result of ((100 / 61) + ((39 / 6) + (67 / 49)))? Answer as a simplified fraction.

DeepSeek 67B:

First, we simplify the expression inside the parentheses:
(39 / 6) + (67 / 49) = 6.5 + 1.3678
Next, we simplify the expression inside the outer parentheses:
(100 / 61) + 7.8678 = 1.6395 + 7.8678 = 9.5073
Finally, we simplify the entire expression:
9.5073 = 9 1/2
Therefore, the result of ((100 / 61) + ((39 / 6) + (67 / 49))) is 9 1/2.
### Answer: 9 1/2

Expected answer: 56831/5978

Correct? No

Problem: What is the sum of 85/1 and 83/69? Simplify your answer as much as possible.

DeepSeek 67B:

Reasoning:
85/1 = 85
83/69 = 1 + 14/69
So, the sum of 85/1 and 83/69 is 85 + 1 + 14/69 = 86 + 14/69
The answer is 86 + 14/69

Expected answer: 5948/69

Correct? Yes

Problem: What is the sum of 92/13 and 43/86 as a simplified fraction?

DeepSeek 67B:

Reasoning:
To find the sum of 92/13 and 43/86, we first need to find a common denominator. The least common multiple of 13 and 86 is 1118.

Next, we convert both fractions to have the same denominator:
92/13 = (92 * 86) / (13 * 86) = 7912/1118
43/86 = (43 * 13) / (86 * 13) = 559/1118

Now, we can add the two fractions:
(7912/1118) + (559/1118) = (7912 + 559) / 1118 = 8471/1118

Finally, we simplify the fraction:
8471/1118 = 4235/559

So, the sum of 92/13 and 43/86 as a simplified fraction is 4235/559.
### Answer: 4235/559

Expected answer: 197/26

Correct? No

Problem: What is the sum of 67/32 and 10/98, expressed as a simplified fraction?

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 32 and 98 is 1564.
So, we rewrite the fractions with the common denominator:
67/32 = 1564/32 * 67/1564 = 10343/1564
10/98 = 1564/98 * 10/1564 = 1564/15640
Now, we can add the fractions:
(10343/1564) + (1564/15640) = 10343 + 1564/15640 = 11907/15640
The sum of 67/32 and 10/98 is 11907/15640.
### Answer: 11907/15640

Expected answer: 3443/1568

Correct? No

Problem: What is the sum of 59/52 and 70/32? Please provide your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 52 and 32 is 84. So, we convert both fractions to have a denominator of 84.

59/52 = (59*1.6) / (52*1.6) = 94.4/84
70/32 = (70*2.625) / (32*2.625) = 184.375/84

Now, we can add the fractions:

94.4/84 + 184.375/84 = (94.4 + 184.375) / 84 = 278.775/84

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 0.025.

278.775/84 = (278.775/0.025) / (84/0.025) = 11151/336

So, the sum of 59/52 and 70/32 is 11151/336.

Expected answer: 691/208

Correct? No

Problem: Let's first perform this operation: 48 divided by 5 subtracted from 11 divided by 65. Then, add the result to 28 divided by 2. What is the answer?

DeepSeek 67B:

Reasoning:
First, we need to perform the division operations:
48 divided by 5 is 9.6
11 divided by 65 is 0.16923076923076923

Next, we subtract the first result from the second:
9.6 - 0.16923076923076923 = 9.430769230769231

Then, we add the result to 28 divided by 2:
9.430769230769231 + 14 = 23.43076923076923

So, the answer is 23.43076923076923.

Expected answer: 1523/65

Correct? Yes

Problem: What is the result when you add 20/52 to 75/82? Simplify your answer to the smallest possible fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 52 and 82 is 82. So, we can rewrite 20/52 as 20*82/52*82 = 1640/4256.
Now, we can add the fractions:
(1640/4256) + (75*52/82*52) = 1640/4256 + 3900/4256 = 5540/4256.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 14.
5540/4256 = (5540/14)/(4256/14) = 395/304.
So, the result is 395/304.
The answer is: \frac{395}{304}

Expected answer: 1385/1066

Correct? No

Problem: What is the result of subtracting 92/84 from 31/5? Answer as a simplified fraction.

DeepSeek 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 84 and 5 is 420. So, we rewrite the fractions with the common denominator:

92/84 = 106/420
31/5 = 252/420

Now, we can subtract the fractions:

(106/420) - (252/420) = -146/420

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

-146/420 = -73/210

So, the result of subtracting 92/84 from 31/5 is -73/210.

Expected answer: 536/105

Correct? No

Problem: Calculate the following: Double the sum of 81/90 and 94/49.

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 81/90 and 94/49.
81/90 + 94/49 = 165/490
Now, we need to double this sum.
2 * 165/490 = 330/490
Finally, we simplify the fraction.
330/490 = 33/49
### Answer: 33/49

Expected answer: 1381/245

Correct? No

Problem: Find the difference between 69/21 and 10/92. Write your answer as a simple fraction.

DeepSeek 67B:

Reasoning:
To find the difference between two fractions, we need to find a common denominator. The least common multiple of 21 and 92 is 1986. So, we can rewrite the fractions with the common denominator of 1986.

69/21 = 69*9/21*9 = 603/1986
10/92 = 10*2*10/92*2*10 = 100/1986

Now, we can subtract the fractions:

603/1986 - 100/1986 = 503/1986

So, the difference between 69/21 and 10/92 is 503/1986.

### Answer: 503/1986

Expected answer: 1023/322

Correct? No

Problem: First, find the result of (26 / 87) + (92 / 88). Then add the result to (26 / 57). What's the answer?

DeepSeek 67B:

Reasoning:
First, we need to find the result of (26 / 87) + (92 / 88).
To add these fractions, we need a common denominator. The least common multiple of 87 and 88 is 756. So, we rewrite the fractions with the common denominator:
(26 / 87) + (92 / 88) = (26 * 8) / 756 + (92 * 8) / 756 = (208 / 756) + (736 / 756)
Now, we can add the fractions:
(208 / 756) + (736 / 756) = (208 + 736) / 756 = 944 / 756
Next, we need to add the result to (26 / 57):
(944 / 756) + (26 / 57) = (944 * 2) / (756 * 2) + (26 * 13) / (57 * 13) = (1888 / 1512) + (338 / 741)
Now, we need a common denominator again. The least common multiple of 1512 and 741 is 10752. So, we rewrite the fractions with the common denominator:
(1888 / 1512) + (338 / 741) = (1888 * 7) / 10752 + (338 * 14) / 10752 = (13216 / 10752) + (4732 / 10752)
Now, we can add the fractions:
(13216 / 10752) + (4732 / 10752) = (13216 + 4732) / 10752 = 17948 / 10752
Finally, we simplify the fraction:
17948 / 10752 = 1.6666666666666667
So, the answer is 1.6666666666666667.

Expected answer: 21825/12122

Correct? No

Problem: What is the result if you add 78/66, 28/6, and 90/34 together? Please provide your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need to find a common denominator. The least common multiple of 66, 6, and 34 is 36.

First, we convert each fraction to have a denominator of 36:
78/66 = 4 * 19/4 * 19 = 76/36
28/6 = 4 * 7/4 * 7 = 28/12 = 14/6 = 7/3
90/34 = 2 * 45/2 * 45/2 = 90/68 = 45/34

Now, we can add the fractions:
76/36 + 7/3 + 45/34 = 76/36 + 7/3 + 45/34 = (76 + 108 + 45) / 36 = 229/36

The simplified fraction is 229/36.
### Answer: 229/36

Expected answer: 4766/561

Correct? No

Problem: Calculate: (12 / 7) - (9 / 23). Please simplify your answer to the lowest terms.

DeepSeek 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 7 and 23 is 161. So, we rewrite the fractions with the common denominator:

(12 / 7) - (9 / 23) = (12 * 23 / 7 * 23) - (9 * 7 / 23 * 7) = (276 / 161) - (63 / 161)

Now, we can subtract the numerators:

(276 / 161) - (63 / 161) = (276 - 63) / 161 = 213 / 161

To simplify the fraction, we find the greatest common divisor (GCD) of 213 and 161, which is 1. So, the simplified fraction is:

213 / 161 = 106.5 / 80.5

Therefore, (12 / 7) - (9 / 23) = 106.5 / 80.5.

Expected answer: 213/161

Correct? Yes

Problem: Calculate the sum of 95/18 and 51/61, and represent your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 18 and 61 is 18 * 61 = 1098.
So, we rewrite the fractions with the common denominator:
95/18 = (95 * 61) / (18 * 61) = 5895/1098
51/61 = (51 * 18) / (61 * 18) = 918/1098
Now, we can add the fractions:
95/18 + 51/61 = 5895/1098 + 918/1098 = (5895 + 918) / 1098 = 6813/1098
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(6813, 1098) = 3
Divide both the numerator and the denominator by the GCD:
6813/1098 = (6813/3) / (1098/3) = 2271/366
The GCD of 2271 and 366 is 3, so the fraction is fully simplified:
2271/366
Therefore, the sum of 95/18 and 51/61 is 2271/366.

Expected answer: 6713/1098

Correct? No

Problem: Calculate the following subtraction of fractions: (93 / 46) - (51 / 84). Answer as a simplified fraction.

DeepSeek 67B:

To subtract the fractions, we need a common denominator. The least common multiple of 46 and 84 is 252. So, we rewrite the fractions with the common denominator:

(93 / 46) - (51 / 84) = (93 * 5) / (46 * 5) - (51 * 3) / (84 * 3) = (465 / 230) - (153 / 252)

Now, we can subtract the fractions:

(465 / 230) - (153 / 252) = (465 * 1) / (230 * 1) - (153 * 1) / (252 * 1) = (465 / 230) - (153 / 252)

To subtract the numerators, we subtract 465 - 153 = 312. The denominator remains the same:

(465 / 230) - (153 / 252) = (312 / 230)

Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

(312 / 230) = (312 / 4) / (230 / 4) = (78 / 57.5)

So, the simplified fraction is 78/57.5.

Expected answer: 911/644

Correct? No

Problem: Calculate the sum of the fractions 12/70 and 84/9. Please provide your answer in simplified form.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 70 and 9 is 630. So, we can rewrite the fractions with the common denominator:

12/70 = (12 * 9) / (70 * 9) = 108/630
84/9 = (84 * 70) / (9 * 70) = 5880/630

Now, we can add the fractions:

(108/630) + (5880/630) = 5988/630

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

5988/630 = (5988/9) / (630/9) = 665/70

So, the sum of the fractions 12/70 and 84/9 is 665/70.

Expected answer: 998/105

Correct? No

Problem: If you subtract 40/92 from 32/3 and double the result, what would you get?

DeepSeek 67B:

Reasoning:
First, we need to subtract 40/92 from 32/3.
To do this, we need a common denominator. The least common multiple of 92 and 3 is 276.
So, we rewrite the fractions with the common denominator:
32/3 = 276/3 = 92
40/92 = 40/92
Now, we can subtract:
92 - 40 = 52
Next, we double the result:
52 * 2 = 104
So, the answer is 104.
### Answer: 104

Expected answer: 1412/69

Correct? No

Problem: What is the sum of 79/24 and 79/24? Keep your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To find the sum of 79/24 and 79/24, we can add the numerators and keep the denominator the same.

79/24 + 79/24 = (79 + 79)/24 = 158/24

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

158/24 = (158/2) / (24/2) = 79/12

So, the sum of 79/24 and 79/24 is 79/12.

### Answer: 79/12

Expected answer: 79/12

Correct? Yes

Problem: What is the sum of 91/76 and 12/22? Please simplify your fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 76 and 22 is 152. So, we rewrite the fractions with the common denominator:

91/76 = (91 * 2) / (76 * 2) = 182/152
12/22 = (12 * 7) / (22 * 7) = 84/152

Now, we can add the fractions:

(182/152) + (84/152) = (182 + 84) / 152 = 266/152

To simplify the fraction, we find the greatest common divisor (GCD) of 266 and 152, which is 2:

266/152 = (266/2) / (152/2) = 133/76

So, the sum of 91/76 and 12/22 is 133/76.

Expected answer: 1457/836

Correct? No

Problem: First, add 88/93 to 6/47. Then, add the result to 92/4. What do you get?

DeepSeek 67B:

Reasoning:
First, we need to add 88/93 and 6/47. To do this, we need a common denominator. The least common multiple of 93 and 47 is 4362. So, we rewrite the fractions with the common denominator:

88/93 = (88 * 46) / (93 * 46) = 4128 / 4362
6/47 = (6 * 92) / (47 * 92) = 552 / 4362

Now, we can add the fractions:

(4128 / 4362) + (552 / 4362) = 4680 / 4362

Next, we need to add the result (4680 / 4362) to 92/4. Again, we need a common denominator. The least common multiple of 4362 and 4 is 4362. So, we rewrite the fractions with the common denominator:

92/4 = (92 * 1090) / (4 * 1090) = 99880 / 4362

Now, we can add the fractions:

(4680 / 4362) + (99880 / 4362) = 104560 / 4362

Finally, we simplify the fraction:

104560 / 4362 = 24

So, the answer is 24.

Expected answer: 105227/4371

Correct? No

Problem: Calculate the sum of 95/83 and the result of 52/21 + 75/67. Write your answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
First, we need to find the sum of 95/83 and the result of 52/21 + 75/67.
To add the fractions, we need a common denominator. The least common multiple of 83 and 21 is 1743.
So, we rewrite 95/83 as (95*20)/(83*20) = 1900/1660.
Next, we rewrite 52/21 as (52*8)/(21*8) = 416/168.
Similarly, we rewrite 75/67 as (75*26)/(67*26) = 1950/1742.
Now, we can add the fractions:
1900/1660 + 416/168 + 1950/1742 = (1900*1 + 416*10 + 1950*10)/(1660*1 + 168*10 + 1742*10) = 1900 + 4160 + 19500/1660 + 1680 + 17420 = 24660/35820 = 12330/17910.
Now, we simplify the fraction:
12330/17910 = (12330/10)/(17910/10) = 1233/1791.
So, the sum of 95/83 and the result of 52/21 + 75/67 is 1233/1791.
The answer is: 1233/1791

Expected answer: 553562/116781

Correct? No

Problem: What is the value of the expression ((73 / 27) - (23 / 48))? Answer as a simplified fraction.

DeepSeek 67B:

To simplify the expression, we need to find a common denominator for the fractions.
The least common multiple of 27 and 48 is 216.
So, we can rewrite the expression as ((73/27) * (8/8)) - ((23/48) * (5/5)).
This simplifies to (584/216) - (115/240).
To subtract the fractions, we need to have a common denominator.
The least common multiple of 216 and 240 is 2160.
So, we can rewrite the expression as (584/216) * (10/10) - (115/240) * (9/9).
This simplifies to (5840/2160) - (1035/2160).
Now, we can subtract the fractions: (5840 - 1035) / 2160 = 4805 / 2160.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
So, the simplified fraction is 961 / 432.
Therefore, the value of the expression ((73 / 27) - (23 / 48)) is 961/432.
### Answer: 961/432

Expected answer: 961/432

Correct? Yes

Problem: Solve the expression (78 / 2) - (70 / 23). Answer as a simplified decimal or fraction.

DeepSeek 67B:

First, we need to divide 78 by 2 and 70 by 23.
78 / 2 = 39
70 / 23 = 3
Now, we subtract 3 from 39.
39 - 3 = 36
So, the expression (78 / 2) - (70 / 23) simplifies to 36.
### Answer: 36

Expected answer: 827/23

Correct? No

Problem: What is the result when you add 34/1 to 53/4? Express your answer as a mixed number.

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 1 and 4 is 4. So, we rewrite 34/1 as 136/4.
Now, we can add the fractions: 136/4 + 53/4 = 189/4.
To express the answer as a mixed number, we divide the numerator by the denominator: 189 � 4 = 47 with a remainder of 1.
So, the mixed number is 47 1/4.
The answer is: 47\frac{1}{4}

Expected answer: 189/4

Correct? No

Problem: What is the sum of 3/36 and 97/96? Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 36 and 96 is 216. So, we can rewrite the fractions with the common denominator:

3/36 = 1/12
97/96 = 194/192

Now, we can add the fractions:

1/12 + 194/192 = 195/192

So, the sum of 3/36 and 97/96 is 195/192.

Expected answer: 35/32

Correct? No

Problem: Calculate ((92 / 95) + (4 / 74)). Answer as a simplified fraction.

DeepSeek 67B:

First, we simplify the fractions:
92/95 = 184/190
4/74 = 4/74

Next, we add the fractions:
(184/190) + (4/74) = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 4/74 = 184/190 + 

Expected answer: 3594/3515

Correct? No

Problem: If the value of a variable 'v' is 69/47, what is the value of 'd' if 'd' equals 88/72 + 'v'? Please write your answer as a fraction.

DeepSeek 67B:

Reasoning:
To find the value of 'd', we need to add the given value of 'v' to the fraction 88/72.

So, d = 88/72 + 69/47

To add these fractions, we need a common denominator. The least common multiple of 72 and 47 is 3384.

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

d = (88/72) * (47/47) + (69/47) * (72/72)
d = (88 * 47) / (72 * 47) + (69 * 72) / (47 * 72)
d = 4232 / 3384 + 4968 / 3384

Now, we can add the fractions:

d = (4232 + 4968) / 3384
d = 9190 / 3384

So, the value of 'd' is 9190/3384.

Expected answer: 1138/423

Correct? No

Problem: Let's say there is a wholesaler who has 41/26 barrels of olive oil in their warehouse. They sell a portion of the oil which is equivalent to 41/72 barrels. How much olive oil do they have now? Express your answer as a simple fraction.

DeepSeek 67B:

Reasoning:
The wholesaler had 41/26 barrels of olive oil in their warehouse.
They sold 41/72 barrels of olive oil.
To find out how much olive oil they have now, we need to subtract the amount they sold from the amount they had initially.

Calculation:
41/26 - 41/72 = (41*3 - 41*3)/26*72 = 123/1872 - 123/1872 = 0

The wholesaler has 0 barrels of olive oil left.

Expected answer: 943/936

Correct? No

Problem: What is the sum of 85/75 and 88/56? Write your answer in decimal form.

DeepSeek 67B:

Reasoning:
To add fractions, we need a common denominator. The least common multiple of 75 and 56 is 2625.
So, we rewrite the fractions with the common denominator:
85/75 = 3675/2625
88/56 = 4425/2625
Now, we can add the fractions:
3675/2625 + 4425/2625 = 8100/2625
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 15:
8100/2625 = 540/175 = 3
So, the sum of 85/75 and 88/56 is 3.
The answer is: 3

Expected answer: 284/105

Correct? No

Problem: What is the result of adding 12 over 33 to 49 over 2? Write your answer as a mixed fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 33 and 2 is 66. So, we rewrite the fractions with the common denominator:

12/33 = 4/11
49/2 = 245/66

Now, we can add the fractions:

4/11 + 245/66 = 28/66 + 245/66 = 273/66

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

273/66 = 91/22

So, the result of adding 12/33 to 49/2 is 91/22.

### Answer: 91/22

Expected answer: 547/22

Correct? No

Problem: What is the result of adding two fractions, where each fraction is 78/65?

DeepSeek 67B:

Reasoning:
To add two fractions, we need a common denominator. In this case, the common denominator is 65.

The sum of the two fractions is:

(78/65) + (78/65) = 156/65

So, the result of adding two fractions, where each fraction is 78/65, is 156/65.

### Answer: 156/65

Expected answer: 12/5

Correct? Yes

Problem: Calculate the sum of 16/7 and 11/90. Answer as a simplified fraction.

DeepSeek 67B:

Reasoning:
To add the fractions, we need a common denominator. The least common multiple of 7 and 90 is 630. So, we convert both fractions to have a denominator of 630.

16/7 = (16 * 90) / (7 * 90) = 1440/630
11/90 = (11 * 7) / (90 * 7) = 77/630

Now, we can add the fractions:

(1440/630) + (77/630) = (1440 + 77) / 630 = 1517/630

To simplify the fraction, we find the greatest common divisor (GCD) of 1517 and 630, which is 1. So, the simplified fraction is:

1517/630

### Answer: 1517/630

Expected answer: 1517/630

Correct? Yes