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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. The least common multiple of 63 and 78 is 259. So, we find the multiples of 63 and 78 that are less than 259, and the smallest multiple of 63 is 63 and the smallest multiple of 78 is 78. The next multiples of 63 are 126 and 189, and the next multiple of 78 is 156. So, we find the lowest common multiple of 63 and 78 is 259.

Now, we convert each fraction to have the denominator 259:
(74/63) * (259/259) = (1873/1587)
(91/78) * (259/78) = (2307/1587)

Now, we add the fractions:
(1873/1587) + (2307/1587) = (4180/1587)

### Answer: 4180/1587

Expected answer: 295/126

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 5 and 25 is 50. We convert both fractions to have the same denominator 50.

For 94/5, we multiply the numerator and the denominator by 10 (the smallest number such that 10*5=50 and 10*94 is still less than 50):
(94/5)*(10/10) = 940/50

For 1/25, we multiply the numerator and the denominator by 2 (the smallest number such that 2*25=50):
(1/25)*(2/2) = 2/50

Now we add the fractions:
(940/50) + (2/50) = 942/50
### Answer: 942/50

Expected answer: 471/25

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we need to find the common denominator for 20 and 8, which is 80.

So, we can rewrite 48/20 as (48*4)/(20*4) = 192/80 and 49/8 as (49*10)/(8*10) = 490/80.

Now, we can subtract the two fractions: 490/80 - 192/80 = (490 - 192)/80 = 298/80.
### Answer: 298/80

Expected answer: 149/40

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we calculate the value of the expression inside the parentheses:
(45 / 5) = 9
(6 / 47) = 0.1274477611940398

Now, we subtract the second value from the first:
9 - 0.1274477611940398 = 8.87255223880596
### Answer: 8.87255223880596

Expected answer: 417/47

Correct? No

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

Mistral 7B:

 To find the sum of two fractions with different denominators, we first need to find a common denominator. The least common multiple (LCM) of 49 and 35 is 147.

Now, we can rewrite each fraction as an equivalent fraction with the common denominator 147:

22/49 = (22*3)/(49*3) = 66/147
72/35 = (72*4)/(35*4) = 288/140

Now, we can add the fractions:

66/147 + 288/140 = (66+288)/147 = 354/147

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator:
GCF(354, 147) = 29

Now, we divide both the numerator and denominator by the GCF:

354/147 = (354/29) * (147/147) = 12 * 147/29

So, the sum of the fractions is 12*147/29.
### Answer: 12*147/29

Expected answer: 614/245

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the greatest common divisor (GCD) of the denominators 9 and 69. The GCD of 9 and 69 is 3. We can now convert both fractions to have the same denominator by multiplying the numerator and denominator of the first fraction by 7 (the least common multiple of 3 and 3) and the numerator and denominator of the second fraction by 2 (the least common multiple of 3 and 69).

(39 / 9) - (44 / 69) = (39 * 7 / 9 * 7) - (44 * 2 / 69 * 2) = (273 / 63) - (88 / 138)

Now, we find the least common multiple of 63 and 138, which is 258. We can convert both fractions to have the same denominator by multiplying the numerator and denominator of the first fraction by 4 (the least common multiple of 63 and 258 divided by 63) and the numerator and denominator of the second fraction by 3 (the least common multiple of 63 and 258 divided by 138).

(273 / 63) - (88 / 138) = (273 * 4 / 63 * 4) - (88 * 3 / 138 * 3) = (1092 / 252) - (264 / 414)

Now, we find the least common multiple of 252 and 414, which is 2106. We can convert both fractions to have the same denominator by multiplying the numerator and denominator of the first fraction by 9 (the least common multiple of 252 and 2106 divided by 252) and the numerator and denominator of the second fraction by 8 (the least common multiple of 252 and 2106 divided by 414).

(1092 / 252) - (264 / 414) = (1092 * 9 / 252 * 9) - (264 * 8 / 414 * 8) = (9828 / 2268) - (2112 / 3312)

Now, we find the least common multiple of 2268 and 3312, which is 6672. We can convert both fractions to have the same denominator by multiplying the numerator and denominator of the first fraction by 3 (the least common multiple of 2268 and 6672 divided by 2268) and the numerator and denominator of the second fraction by 1 (the least common multiple of 2268 and 6672 divided by 3312).

(9828 / 2268) - (2112 / 3312) = (9828 * 3 / 2268 * 3) - (2112 * 1 / 3312 * 1) = (29486 / 6672) - (2112 / 6672)

Now, we subtract the second fraction from the first fraction:

(29486 / 6672) - (2112 / 6672) = (29486 - 2112) / 6672 = 27374 / 6672

### Answer: 27374/6672

Expected answer: 85/23

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 79 and 21 is 219. We can convert each fraction to an equivalent fraction with a denominator of 219.

For 49/79:
Multiplier = 219/219
New numerator = (49 * 219) / 79
New numerator = 10341 / 79

For 18/21:
Multiplier = 219/21
New numerator = (18 * 219) / 21
New numerator = 3982 / 21

Now, we can add the new numerators and keep the common denominator (219):
Sum of the fractions = (10341 + 3982) / 219
Sum of the fractions = 14323 / 219
### Answer: 14323/219

Expected answer: 817/553

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 46 and 31 is 161. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 95/46:
95 * (31/31) / (46/46) = (2945/161)

For 65/31:
65 * (46/46) / (31/31) = (2830/161)

Now we add the fractions:
(2945/161) + (2830/161) = (5775/161)
### Answer: 5775/161

Expected answer: 5935/1426

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions, we need to have the same denominator. To do this, we can find the least common multiple (LCM) of the two denominators (63 and 6) and then convert each fraction to have the LCM as the denominator.

The LCM of 63 and 6 is 189.

Now, we convert each fraction to have the LCM as the denominator:

For 25/63, we multiply the numerator and denominator by 3 (since 3*63 = 189 and 3*25 = 75) to get 75/189.

For 74/6, we multiply the numerator and denominator by 31 (since 31*6 = 186 and 31*74 = 2342) to get 2342/1860.

Now, we can add the fractions:

(75/189) + (2342/1860) = (75+2342)/1890 = 2417/1890

### Answer: 2417/1890

Expected answer: 802/63

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common denominator. The least common multiple (LCM) of 91 and 47 is 367.

Now, we convert each fraction to have the common denominator 367.

For 79/91, we multiply the fraction by 4 (since 4*367 = 1468, which is greater than 367, and 4*91 = 364, which is less than 367):

(79/91) * (4/4) = (316/367)

For 100/47, we multiply the fraction by 7 (since 7*367 = 2569, which is greater than 367, and 7*47 = 329, which is less than 367):

(100/47) * (7/7) = (700/367)

Now, we add the two fractions:

(316/367) + (700/367) = (316+700)/367 = <<316+700=1016>>1016/367
### Answer: 1016/367

Expected answer: 12813/4277

Correct? No

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

Mistral 7B:

  Reasoning: First, we find the common denominator for the fractions, which is 47*21 = 987. Then we convert each fraction to have the common denominator:
(55/47)*(21/21) + (72/21)*(47/47) = (1117/987) + (72*47)/987
Now we add the numerators and keep the common denominator:
1117 + 3344 = 4461/987
### Answer: 4461/987

Expected answer: 1513/329

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 62 and 41 is 246. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 86/62:
86 * (41/41) / 62 = (341/41) / (62/41) = (341/62)

For 99/41:
99 * (62/62) / 41 = (99*62/41) / 62 = (6018/41) / (62/41) = (6018/62)

Now, we can add the fractions:
(341/62) + (6018/62) = (341+6018)/62 = 6359/62

### Answer: 6359/62

Expected answer: 4832/1271

Correct? No

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

Mistral 7B:

  To find the sum of two fractions with different denominators, we first need to find a common denominator. The least common multiple (LCM) of 88 and 13 is 276.

Now, we convert each fraction to have the common denominator 276.

For 87/88, we multiply the numerator and denominator by 3 (since 3*88 = 264 and 3*1 = 3, which is the factor that makes 264 and 276 a multiple of 88 and 13, respectively). This gives us 261/264.

For 24/13, we multiply the numerator and denominator by 21 (since 21*13 = 261 and 21*8 = 168, which is a multiple of 276). This gives us 494/261.

Now, we can add the two fractions:

(261/264) + (494/261) = (261+494)/264 = 755/264

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator:

GCF(755, 264) = 41

Now, we divide both the numerator and denominator by the GCF:

(755/41) / (264/41) = 18.411764705882353

### Answer: 18.411764705882353 (rounded to 10 decimal places)

Expected answer: 3243/1144

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions, which is 660 (LCM of 33 and 25). Then, we convert each fraction to have the same denominator:

(68/33) * (2/2) + (70/25) * (26/26) = (136/66) + (140/66)

Now, we add the fractions:

(136+140)/66 = 276/66

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 2. Then, we divide both the numerator and the denominator by 2:

276/66 / 2 = 138/33

### Answer: 138/33

Expected answer: 802/165

Correct? No

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

Mistral 7B:

 Reasoning: To find the sum of two fractions, we need to have a common denominator. The least common multiple of 97 and 9 is 99. So, we can rewrite the fractions as follows:

35/97 = (35*9)/(97*9) = 315/893
11/9 = (11*111)/(9*111) = 1221/99

Now, we can add the fractions:

(315/893) + (1221/99) = (315+1221)/99*893 = 1536/893

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 17:

1536/893 = (1536/17)*(893/893) = 90*51 = <<90*51=4650>>4650
### Answer: 4650/1

Note: Since the denominator is 1, we can drop it and just write the numerator as the final answer.

Expected answer: 1382/873

Correct? No

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

Mistral 7B:

  Reasoning: To subtract the fraction 79/70 from 11/5, we first find a common denominator for both fractions, which is 35 (the least common multiple of 70 and 5). Then we convert both fractions to have the same denominator:

For 79/70, we multiply both the numerator and denominator by 5: 79*5/70*5 = 395/350

For 11/5, we multiply both the numerator and denominator by 7: 11*7/5*7 = 77/35

Now we can subtract the fractions: 77/35 - 395/350

To subtract the fractions, we find a common multiple of 35 and 350 that is greater than the sum of the numerators (77+395=472), and subtract the smaller fraction from the larger fraction that number of times. The least common multiple of 35 and 350 is 35*10=350. So we subtract 77/35 from 395/350 10 times:

(395/350 - 77/35) * 10 = (3950 - 770) / 350 = 3180 / 350

Now we simplify the fraction: 3180/350 = 636/70

### Answer: 636/70

Expected answer: 15/14

Correct? No

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

Mistral 7B:

  Reasoning: To find the common denominator, we find the least common multiple (LCM) of 16 and 78. The LCM of 16 and 78 is 156.

Now, we convert both fractions to have the same denominator by multiplying 68/16 by 9/9 and 52/78 by 2/2.

68/16 * (9/9) = 612/144
52/78 * (2/2) = 104/156

Now, we add the fractions:

612/144 + 104/156

To add the fractions, we find the least common multiple (LCM) of the denominators, which is 144. We then adjust the fractions to have the same denominator by multiplying the first fraction by 7/7 and the second fraction by 12/12.

612/144 * (7/7) = 4284/1008
104/156 * (12/12) = 1248/1560

Now, we add the adjusted fractions:

4284/1008 + 1248/1560

To add the fractions, we find the least common multiple (LCM) of the new denominators, which is 1008. We then adjust the fractions to have the same denominator by multiplying the first fraction by 3/3 and the second fraction by 5/5.

4284/1008 * (3/3) = 12852/3024
1248/1560 * (5/5) = 2496/3024

Now, we add the adjusted fractions:

12852/3024 + 2496/3024

Finally, we simplify the sum by finding the common factor that divides both numerators and denominators:

(12852 + 2496) / 3024

15348 / 3024

### Answer: 15348/3024

Expected answer: 59/12

Correct? No

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

Mistral 7B:

 Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 75 and 47 is 315. We can multiply both fractions by a number such that the new denominators are equal to the LCM.

For 21/75, we multiply by 4 (since 4*315 = 1260, which is 4 times 75), so we get (21/75)*4 = 84/315.

For 44/47, we multiply by 6 (since 6*315 = 1890, which is 6 times 47), so we get (44/47)*6 = 264/282.

Now, we add the two fractions: 84/315 + 264/282. To add the fractions, we find a common denominator, which is 315. We can rewrite 264/282 as (264*315/282*315) = 828/315.

Now, we add the fractions: 84/315 + 828/315 = 912/315.

### Answer: 912/315

Expected answer: 1429/1175

Correct? No

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

Mistral 7B:

  Reasoning: First, we find a common denominator for the fractions, which is 55 (the least common multiple of 5 and 11).

Then, we adjust the fractions to have the same denominator:

For 77/5, we multiply both the numerator and denominator by 11 to get 77*11/5*11 = <<77*11=847>>847/55.

For 4/11, we multiply both the numerator and denominator by 5 to get 4*5/11*5 = <<4*5=20>>20/55.

Now, we add the fractions:

847/55 + 20/55 = <<847+20=867>>867/55.

### Answer: 867/55.

Expected answer: 867/55

Correct? Yes

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

Mistral 7B:

  Reasoning: To find the sum of the two fractions, we need to find a common denominator. The least common multiple of 48 and 47 is 308.

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

60/48 = (3*60)/(4*48) = 30/192
37/47 = (7*37)/(7*47) = 37/329

Now, we can add the fractions:

(30+37)/192*329 = 67/192

To convert this fraction to a decimal, we can divide 67 by 192:

67 ÷ 192 = 0.34880701754386

### Answer: 0.34880701754386 (rounded to 7 decimal places)

Expected answer: 383/188

Correct? No

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

Mistral 7B:

 Reasoning: To solve this problem, we first need to find a common denominator for the fractions. The least common multiple of 72 and 6 is 72. So, we rewrite the fractions as follows:

(14/72) * (4/4) + (25/6) * (12/12)

Now, we can add the fractions:

(14 * 4) / (72 * 4) + (25 * 12) / (6 * 12)

(56) / 288 + (300) / 72

Now, we can simplify the fractions by finding the least common multiple of the denominators, which is 288.

(56 * 1) / 288 + (300 * 4) / 288

(56) / 288 + (1200) / 288

Now, we can add the numerators:

(56 + 1200) / 288

(1256) / 288

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 16:

(1256 / 16) / (288 / 16)

(78) / 18

### Answer: 78/18

Expected answer: 157/36

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common denominator. The least common multiple (LCM) of 97 and 2 is 194.

Now, we can rewrite each fraction with the common denominator 194:

84/97 * (194/194) + 25/2 * (97/97) = (84 * 194)/(97 * 194) + (25 * 97)/(2 * 97)

Simplify the fractions:

(16096/18091) + (245/194)

Now, add the numerators:

16096 + 245 = 16341

Finally, add the denominators:

18091 + 194 = 18285

So, the sum of the fractions is (16341/18285).
### Answer: 16341/18285

Expected answer: 2593/194

Correct? No

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

Mistral 7B:

  Reasoning: To find the difference between two fractions, we first need to have a common denominator. The least common multiple (LCM) of 20 and 78 is 140.

Let's convert both fractions to have the same denominator 140:

For 66/20, multiply the numerator and denominator by 7: 66*7/20*7 = <<66*7=462, 20*7=140>>462/140

For 4/78, multiply the numerator and denominator by 10: 4*10/78*10 = <<4*10=40, 78*10=780>>40/780

Now, subtract the second fraction from the first: 462/140 - 40/780 = <<462-40=422, 140*780=1092000>>422/1092000

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2: 422/1092000 = <<GCD(422,1092000)=2, 422/2=211, 1092000/2=546000>>211/546000

### Answer: 211/546000

Expected answer: 1267/390

Correct? No

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

Mistral 7B:

  Reasoning: First, we calculate the quotient of 83 divided by 37: 83/37 = <<83/37=2.242857142857143>>2.242857142857143 (rounded to 7 decimal places).
Next, we calculate the quotient of 12 divided by 14: 12/14 = <<12/14=0.8571428571428571>>0.8571428571428571 (rounded to 7 decimal places).
Now, we subtract the second result from the first result: 2.242857142857143 - 0.8571428571428571 = <<2.242857142857143-0.8571428571428571=1.3857142857142857>>1.3857142857142857.
### Answer: 1.3857142857142857

Expected answer: 359/259

Correct? No

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

Mistral 7B:

  Reasoning: To find the common denominator, we find the least common multiple (LCM) of the denominators, which is 56. Then, we adjust the fractions to have the same denominator by multiplying 95/57 by 1 (56/56) and 28/80 by 7/7 (56/80).
(95/57)*(56/56) + (28/80)*(7/7) = (5640/3136) + (196/3136)
Now, we add the fractions:
(5640+196)/3136 = 5836/3136
### Answer: 5836/3136

Expected answer: 121/60

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 57 and 42 is 252. We can find the LCM by finding the product of the prime factors of each denominator and selecting the highest power of each prime factor.

For 57: 57 = 3*19
For 42: 42 = 2*2*3*7

LCM = 2^2 * 3 * 19 = 252

Now, we convert each fraction to an equivalent fraction with the common denominator 252.

14/57 = (14 * (252/252)) / (57 * (252/252)) = (14 * 252) / 252 * 252 / 57 = 3648 / 252

92/42 = (92 * (252/14)) / (42 * (252/14)) = (92 * 252) / 42 * 14 / 252 = 22016 / 252

Now, we can add the fractions:

(3648 + 22016) / 252 = 25664 / 252

### Answer: 25664/252

Expected answer: 324/133

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions, which is 55.
We can rewrite the fraction (6/5) as (12/30) to have the same denominator.
Now, we can add the fractions:
((77/55) + (12/30)) = (77+12)/(55*30) = 89/165
### Answer: 89/165

Expected answer: 13/5

Correct? No

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

Mistral 7B:

 Reasoning: To find the common denominator, we need to find the least common multiple (LCM) of 8 and 86. The LCM of 8 and 86 is 8*21 = 168.
Now, we can rewrite the fractions with the common denominator:
(56/8)*(21/21) + (90/86)*(21/21) = (1230/168) + (1680/168)
Now, we can add the fractions:
1230/168 + 1680/168 = (1230+1680)/168 = 2910/168
### Answer: 2910/168

Expected answer: 346/43

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 20 and 97 is 190. We convert each fraction to an equivalent fraction with a denominator of 190.

For 23/20, we multiply both the numerator and the denominator by 9.5 (which is 490/200, a multiple of 20 that is less than 190). This gives us 23*9.5/20*9 = 217/190.

For 82/97, we multiply both the numerator and the denominator by 2 (which is 194/97, a multiple of 97 that is less than 190). This gives us 82*2/97*2 = 164/190.

Now we can add the fractions: 217/190 + 164/190 = (217+164)/190 = 381/190.
### Answer: 381/190

Expected answer: 3871/1940

Correct? No

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

Mistral 7B:

  Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 88 and 10 is 880. So, we can rewrite the fractions as follows:
54/88 = (54*10)/(88*10) = 540/880
28/10 = (28*88)/(10*88) = 2304/880
Now, we can add the fractions:
540/880 + 2304/880 = (540+2304)/880 = 2844/880
### Answer: 2844/880

Expected answer: 751/220

Correct? No

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

Mistral 7B:

  To solve this problem, we first need to find the common multiple of the denominators 69 and 47. The least common multiple (LCM) of 69 and 47 is 266. Now, we can rewrite the fractions with the LCM as the common denominator:

(7/69) * (266/266) + (71/47) * (266/266)

This simplifies to:

(7*266)/69 + (71*266)/47

Now, we can perform the multiplication:

(1822)/69 + (18832)/47

To find the sum, we can multiply the numerators and add the denominators:

(1822+18832)/(69*47)

Now, we can add the numerators:

20654/(69*47)

To simplify the fraction, we can factor out the greatest common factor (GCF) of 69 and 47, which is 7:

(20654/7)/(69*47/7)

Now, we can simplify the denominator:

(20654/7)/(433)

### Answer: 20654/433

Expected answer: 5228/3243

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 32 and 15 is 48. We can convert each fraction to an equivalent fraction with a denominator of 48.

For 15/32, we multiply both the numerator and denominator by 3 (since 3*12 = 36, which is greater than 48, and 3*32 = 96, which is more than twice 48). So, 15/32 becomes 45/96.

For 65/15, we multiply both the numerator and denominator by 3 (since 3*4 = 12, which is less than 48, and 3*15 = 45, which is less than twice 48). So, 65/15 becomes 195/45.

Now, we can add the fractions: 45/96 + 195/45. To add the fractions, we need a common denominator, which is 96. So, we multiply the second fraction's numerator by 2 (since 2*45 = 90, which is less than 96, and 2*96 = 192, which is more than twice 96). So, 195/45 becomes 390/96.

Now, we can add the fractions: 45/96 + 390/96 = 435/96.
### Answer: 435/96

Expected answer: 461/96

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 31 and 11 is 111. We can find the LCM by finding the product of the prime factors of each denominator and then taking the product of the highest powers of each prime factor.

For 31: 31 = 7^1 * 3^1, so the highest power of 3 is 1 and the highest power of 7 is 1.
For 11: 11 = 11^1, so the highest power of 11 is 1.

The LCM is 11^1 * 3^1 * 7^1 = 111.

Now, we convert each fraction to have the same denominator by multiplying each fraction by a number such that the denominator becomes the LCM.

For 4/31, we multiply by 11: (4/31) * (11/11) = (44/111).
For 76/11, we don't need to multiply since the denominator is already 11.

Now, we add the fractions: (44/111) + (76/11) = (44 + 76)/111 = 110/111.
### Answer: 110/111

Expected answer: 2400/341

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 15 and 12 is 60. We can convert each fraction to an equivalent fraction with a denominator of 60.

For 82/15, the equivalent fraction with a denominator of 60 is (82*4)/(15*4) = 328/60.
For 100/12, the equivalent fraction with a denominator of 60 is (100*5)/(12*5) = 500/60.

Now, we can add the fractions: 328/60 + 500/60 = (328+500)/60 = 828/60.
### Answer: 828/60

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.

Mistral 7B:

 Reasoning: To find the least common multiple (LCM) of the denominators 29 and 33, we can list the multiples of each number and find the smallest number that appears in both lists. The multiples of 29 are 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 329, 368, 407, 446, 485, 524, 563, 602, 641, 680, 719, 758, 797, 836, 875, 914, 953, 992, 1031, 1070, 1109, 1148, 1187, 1226, 1265, 1304, 1343, 1382, 1421, 1460, 1499, 1538, 1577, 1616, 1655, 1694, 1733, 1772, 1811, 1850, 1889, 1928, 1967, 2006, 2045, 2084, 2123, 2162, 2201, 2240, 2279, 2318, 2357, 2396, 2435, 2474, 2513, 2552, 2591, 2630, 2669, 2708, 2747, 2786, 2825, 2864, 2903, 2942, 2981, 3020, 3059, 3098, 3137, 3176, 3215, 3254, 3293, 3332, 3371, 3410, 3449, 3488, 3527, 3566, 3605, 3644, 3683, 3722, 3761, 3800, 3839, 3878, 3917, 3956, 3995, 4034, 4073, 4112, 4151, 4190, 4229, 4268, 4307, 4346, 4385, 4424, 4463, 4502, 4541, 4580, 4619, 4658, 4697, 4736, 4775, 4814, 4853, 4892, 4931, 4970, 5009, 5048, 5087, 5126, 5165, 5204, 5243, 5282, 5321, 5360, 5409, 5458, 5507, 5556, 5595, 5634, 5673, 5712, 5751, 5790, 5829, 5868, 5907, 5946, 5985, 6024, 6063, 6102, 6141, 6180, 6219, 6258, 6297

Expected answer: 4225/957

Correct? No

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

Mistral 7B:

  Reasoning: To find a common denominator, we find the least common multiple (LCM) of the denominators 29 and 98. The LCM of 29 and 98 is 29*3*2 = 171.

Now, we convert each fraction to have the same denominator by multiplying 57/29 by 3/3 and 14/98 by 2/2.

So, (57/29)*(3/3) = 171/87 and (14/98)*(2/2) = 28/98.

Now, we add the fractions:

(171/87) + (28/98) = (171+28)/87*98 = 199/87.

### Answer: 199/87

Expected answer: 428/203

Correct? No

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

Mistral 7B:

  Reasoning: First, we need to find the common multiple of the denominators 25 and 28, which is 80. Then, we convert both fractions to have the same denominator by multiplying the 70/25 by 1 (80/80) and 83/28 by 5/5 (165/140).

Now, we can add the fractions: (70/25 + 83/28) * (80/80 + 140/140) = (5600 + 8400) / 11200 = 14000 / 11200

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2000: 14000 / 11200 = 7 / 5.6

However, since we cannot have a fraction with a denominator less than 1, we round up the denominator to the nearest multiple of 2000, which is 6000. So, the simplified fraction is 7/6.

### Answer: The simplified expression is 7/6.

Expected answer: 807/140

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 73 and 23 is 189. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 50/73:
50 * (189/189) / 73 = (9450/1367) / (73/189) = 9450/73

For 20/23:
20 * (81/81) / 23 = (1620/81) / (23/81) = 1620/23

Now we can add the fractions:
(9450/73) + (1620/23) = (9450+1620)/(73*23) = 11070/1661

### Answer: 11070/1661

Expected answer: 2610/1679

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we need to find a common multiple of the denominators. The least common multiple (LCM) of 57 and 99 is 363. We can find the LCM by finding the product of the prime factors of both numbers and selecting the highest power of each prime factor that appears in either number.

For 57: 57 = 3 * 19
For 99: 99 = 3^2 * 11

The LCM is 3^2 * 19 * 11 = 363

Now, we convert each fraction to have the same denominator by multiplying both the numerator and denominator of each fraction by the value that makes the denominators equal.

For (49 / 57), we multiply by 6 (which is the value that makes 57 * 6 = 363) to get (49 * 6 / 57 * 6) = (294 / 363)

For (89 / 99), we multiply by 4 (which is the value that makes 99 * 4 = 363) to get (89 * 4 / 99 * 4) = (356 / 363)

Now, we add the fractions: (294 / 363) + (356 / 363) = (294 + 356) / 363 = 650 / 363

### Answer: 650/363

Expected answer: 3308/1881

Correct? No

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

Mistral 7B:

 Reasoning: First, calculate the individual fractions:
94 / 35 = 2 29/35
23 / 49 = 1/22
Now, subtract the fractions:
(2 29/35) - (1/22) = (2 29/35) - (1/22) * (35/35) = (2 29/35) - (35/770) = (2 29/35) - (35/35) + (35*29/770) = (2 - 35/35) + (29/770) = (0) + (29/770) = 29/770
### Answer: 29/770

Expected answer: 543/245

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. The least common multiple of 30 and 37 is 102. So, we will find the equivalent fractions with the denominator 102.

For 58/30, we multiply both the numerator and the denominator by 3: 58*3 = 174 and 30*3 = 90. So, the equivalent fraction is 174/90.

For 49/37, we multiply both the numerator and the denominator by 3: 49*3 = 147 and 37*3 = 111. So, the equivalent fraction is 147/111.

Now, we can add the fractions: 174/90 + 147/111. To find the least common multiple of 90 and 111, we can list the multiples of 90 and 111 and find the smallest number that appears in both lists. The least common multiple of 90 and 111 is 330. So, we will multiply the sum of the numerators by 330/90 and the sum of the denominators by 330/111 to get the final answer.

Sum of the numerators: 174 + 147 = 321
Sum of the denominators: 90 + 111 = 201

Now, we can find the final answer: (321*330)/90 + (0*330)/111 = 321*330/90 = 10660/90

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common factor, which is 6: 10660/90 / 6 = 1776/15

### Answer: 1776/15

Expected answer: 1808/555

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we need to find a common multiple of the denominators. The least common multiple (LCM) of 53 and 50 is 159. We can find the equivalent fractions with the common denominator 159 by multiplying both the numerator and denominator of each fraction by the appropriate value.

For 45/53:
Equivalent fraction: (45*3)*(1/159) + (53*2)*(1/159) = 135/159

For 71/50:
Equivalent fraction: (71*3)*(1/159) + (50*3)*(1/159) = 213/159

Now, we can add the equivalent fractions:
135/159 + 213/159 = (135+213)/159 = 348/159
### Answer: 348/159

Expected answer: 6013/2650

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. To find a common denominator, we can use the least common multiple (LCM) of the two denominators. The LCM of 72 and 1 is 72.

To convert 36/72 to have a denominator of 72, we multiply both the numerator and denominator by 2: 36/72 becomes (36*2)/(72*2) = 72/144.

Now, we can add the fractions: 72/144 + 49/1 = 72 + 49 = <<72+49=121>>121.
### Answer: 121

Expected answer: 99/2

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum, we need to have a common denominator. The least common multiple of 20 and 15 is 60. So, we can rewrite the fractions as:
61/20 = (61*3)/(20*3) = 183/60
29/15 = (29*4)/(15*4) = 116/60
Now, we can add the fractions:
183/60 + 116/60 = (183+116)/60 = 300/60
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 30:
300/60 ÷ 30/30 = 10/2
### Answer: 10/2 or 5

Expected answer: 299/60

Correct? No

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

Mistral 7B:

 Reasoning: To solve the expression, we first find a common denominator for the fractions. The least common multiple of 90 and 79 is 693.

Now, we rewrite each fraction with the common denominator:

(33/90) * (693/693) + (77/79) * (693/693)

This simplifies to:

(693/90) + (5381/6930)

The fractions are not yet in their simplest form, so we find the greatest common factor of the numerators and the denominators:

GCF(693, 90) = 9
GCF(5381, 6930) = 3

Now, we divide both numerators and denominators by their respective GCFs:

(777/100) + (1861/2320)

The fractions are now in their simplest form.

### Answer: (777/100) + (1861/2320)

Expected answer: 3179/2370

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 79 and 6 is 234. So, we find the multiples of 79 and 6 that are less than 234, and the smallest multiple of 79 that is greater than 234 is 234 itself.

Now, we find the multiples of 6 that are less than 234: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.

The smallest multiple of 79 that is greater than 234 is 234 itself.

So, we find the smallest multiple of 79 that is greater than 234, and the smallest multiple of 6 that is less than 234, and we multiply both by the difference between these two numbers to get the least common multiple, which is 234.

Now, we convert 30/79 to have the denominator 234 by multiplying both the numerator and denominator by 3: 30*3/79*3 = 90/237.

Similarly, we convert 29/6 to have the denominator 234 by multiplying both the numerator and denominator by 39: 29*39/6*39 = 1123/234.

Now, we add the fractions: (90/237) + (1123/234) = (90+1123)/(237*234) = 1213/55299.

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator: GCD(1213, 55299) = 13.

So, we divide both the numerator and the denominator by 13: 1213/13 = 93 and 55299/13 = 4261.

The simplified fraction is 93/4261.
### Answer: 93/4261

Expected answer: 2471/474

Correct? No

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

Mistral 7B:

 Reasoning: To subtract a fraction from another fraction, we need to find a common denominator for both fractions. The least common multiple (LCM) of 66 and 2 is 66.

Let's find the equivalent fraction of 59/2 with a denominator of 66:

59/2 * (33/33) = (177/66)

Now, we can subtract the fractions:

(177/66) - (11/66) = (177 - 11)/66 = 166/66

### Answer: 166/66

Expected answer: 88/3

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the two denominators. The least common multiple (LCM) of 23 and 26 is 118. We can convert each fraction to have 118 as the denominator.

For 58/23, we multiply both the numerator and denominator by 5 (since 5*23 = 115, which is less than 118, but 5*23*2 = 118, so we use 5):
58/23 * (5/5) = (58*5)/(23*5) = 290/115

For 25/26, we multiply both the numerator and denominator by 4 (since 4*26 = 104, which is less than 118, but 4*26*2 = 118, so we use 4):
25/26 * (4/4) = (25*4)/(26*4) = 100/104

Now we can add the two fractions:
290/115 + 100/104 = (290+100)/(115*104/104) = (390)/115

### Answer: 390/115

Expected answer: 2083/598

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 13 and 52 is 13*4*2 = 104. We can rewrite the fractions as:
70/13 = (70*4)/(13*4) = 280/104
17/52 = (17*2)/(52*2) = 34/104
Now we can add the fractions:
280/104 + 34/104 = (280+34)/104 = 314/104
### Answer: 314/104

Expected answer: 297/52

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 44 and 91 is 364. We convert each fraction to an equivalent fraction with a denominator of 364.

For 78/44:
Multiplier = 364/364
New numerator = (78 * 364) / 44 = 2944 / 44

For 17/91:
Multiplier = 364/364
New numerator = (17 * 364) / 91 = 627.64 / 91

Now, we add the two fractions:
(2944/44) + (627.64/91)

To add the fractions, we find a common multiple of the new denominators (44 and 91) that is greater than both. The least common multiple (LCM) of 44 and 91 is 364. We convert the fraction with the larger denominator (627.64/91) to an equivalent fraction with a denominator of 364.

Multiplier = 364/364
New numerator = (627.64 * 4) / 91 = 2506.56 / 91

Now, we add the fractions:
(2944/44) + (2506.56/91)

To add the fractions, we find a common multiple of the new denominators (44 and 91) that is greater than both. The least common multiple (LCM) of 44 and 91 is 364. We convert the fraction with the larger denominator (2506.56/91) to an equivalent fraction with a denominator of 364.

Multiplier = 364/364
New numerator = (2506.56 * 4) / 91 = 10026.24 / 91

Now, we add the fractions:
(2944/44) + (10026.24/91)

To add the fractions, we add the numerators and keep the common denominator (364):
(2944 + 10026.24) / 364

Now, we add the numerators:
12969.24 / 364

### Answer: 12969.24/364

Expected answer: 3923/2002

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 4 is 4. So, we can rewrite the fractions as 10.75 and 17.25 respectively.
10.75 + 17.25 = 28.00
### Answer: 28

Expected answer: 57/2

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 74 and 27 is 216. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 17/74:
17 * (27/27) / (74/27) = 17 * (27/74) = 402/74

For 53/27:
53 * (74/74) / (27/74) = 53 * (74/27) = 1968/27

Now we can add the fractions:
402/74 + 1968/27

To find a common denominator, we multiply the two denominators: 74 * 27 = 1996

Now we convert each fraction to an equivalent fraction with the common denominator:

For 402/74:
402 * (27/27) / (74/1996) = 402 * (27/1996) = 11134/1996

For 1968/27:
1968 * (74/74) / (27/1996) = 1968 * (74/1996) = 144352/1996

Now we can add the fractions:
11134/1996 + 144352/1996

Add the numerators: 11134 + 144352 = 155486

Now add the denominators: 1996 + 1996 = 3992

The sum of the fractions is 155486/3992

### Answer: 155486/3992

Expected answer: 4381/1998

Correct? No

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

Mistral 7B:

 Reasoning: First, we simplify the fractions by finding the greatest common divisor (GCD) of the denominators. The GCD of 76 and 16 is 16.

Then, we rewrite the fractions with a common denominator of 16:
(76/76) + (96/16) = (76/76) + (6*16/16) = (76+6)/16

Now, we add the numerators:
(76+6)/16 = 82/16

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
82/16 = (82/2)/(16/2) = 41/8
### Answer: 41/8

Expected answer: 7

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 14 and 90, which is 126. Then, we convert both fractions to have the same denominator:

(94/14) * (9/9) - (50/90) * (13/13) = (94*9 - 50*13)/126

Now, we calculate the numerator:

94*9 - 50*13 = 846 - 650 = 196

Finally, we simplify the fraction:

196/126

Since 196 and 126 have no common factors other than 1, the fraction is already in its simplest form.

### Answer: 196/126

Expected answer: 388/63

Correct? No

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

Mistral 7B:

  Reasoning: First, convert the fractions to a common denominator, which is 69.
29 seventy-ninths = 29 * 7/79 = 203/79
33 sevenths = 33 * 1/7 = 45/7

Now, subtract the two fractions:
(45/7) - (203/79) = (45 - 203) / (7 * 79) = -158/553

### Answer: -158/553

Expected answer: 2404/553

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 79 and 38 is 234. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 60/79:
60 * (234/234) / 79 = (60 * 234) / (79 * 234) = 14080 / 18322

For 53/38:
53 * (61/61) / 38 = (53 * 61) / (38 * 61) = 3213 / 2296

Now we add the fractions:
(14080/18322) + (3213/2296) = (14080 + 3213) / (18322 + 2296) = 17293 / 20618

### Answer: 17293/20618

Expected answer: 6467/3002

Correct? No

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

Mistral 7B:

  To solve the given fraction equation, we need to find a common denominator for both fractions. The least common multiple (LCM) of 48 and 84 is 168.

Now, we can rewrite each fraction with the common denominator 168:

39/48 * (3/3) + 19/84 * (4/4) = (39*3)/(48*3) + (19*4)/(84*4)

Simplify the fractions:

(117)/144 + (76)/336

Now, add the numerators and keep the common denominator:

(117+76)/336

Combine the numerators:

193/336

### Answer: 193/336

Expected answer: 349/336

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we need to find a common multiple of the denominators. The least common multiple (LCM) of 86 and 3 is 258. We can convert each fraction to an equivalent fraction with a denominator of 258.

For 16/86, we multiply both the numerator and the denominator by 3 to get 48/258.
For 60/3, we multiply both the numerator and the denominator by 86 to get 5160/258.

Now, we can add the fractions: 48/258 + 5160/258 = 5208/258.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4: 5208/258 ÷ 4 = 1302/64.

### Answer: 1302/64

Expected answer: 868/43

Correct? No

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

Mistral 7B:

 Reasoning: To solve this equation, we first need to find a common denominator for the fractions. The least common multiple of 69 and 9 is 138. So, we rewrite the fractions as follows:

((95/69) * (138/138)) + ((67/9) * (138/138))

Now, we can add the fractions:

(95 * 138 / 69 * 138) + (67 * 138 / 9 * 138)

Multiplying the numbers in the numerator and the denominators:

(13840 / 9622) + (8836 / 9622)

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

22676 / 9622

### Answer: 22676/9622

Expected answer: 1826/207

Correct? No

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

Mistral 7B:

  Reasoning: First, we find the common multiple of 16 and 60, which is 120. Then, we convert both fractions to have the same denominator by multiplying 95/16 by 7.5 (which is 720/120) and 43/60 by 2 (which is 86/120).

Now, we can subtract the fractions:

(720/120) - (86/120) = (720 - 86) / 120 = 634 / 120

### Answer: 634/120

Expected answer: 1253/240

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 8 and 16 is 8*2 = 16. We can rewrite the fractions with the common denominator 16 as follows:
38/8 = (38*2)/(8*2) = 76/16
4/16 + 76/16 = 80/16
### Answer: 80/16 = 5 (when simplified)

Expected answer: 5

Correct? Yes

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

Mistral 7B:

  Reasoning: First, we find the common multiple of 15 and 12, which is 60. Then, we convert both fractions to have the same denominator by multiplying 67/15 by 4/4 and 27/12 by 5/5.
(67/15 * 4/4) - (27/12 * 5/5) = (268/60) - (135/60)
Now, we subtract the fractions:
(268/60) - (135/60) = (268 - 135)/60 = 133/60
### Answer: 133/60

Expected answer: 133/60

Correct? Yes

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 59 and 94 is 236. We can find the LCM by finding the product of the prime factors of both numbers and then taking the product of each prime factor as many times as it appears in either number.

For 59, the prime factors are 7 and 8. For 94, the prime factors are 2, 7, and 13.

The LCM is (7*8)*2*(13) = 236.

Now, we convert each fraction to have the same denominator by multiplying each fraction by a number such that the denominator becomes the LCM.

For 38/59, we multiply by 4 (LCM/59) to get 38*4/59*4 = 152/236.

For 80/94, we multiply by 3 (LCM/94) to get 80*3/94*3 = 240/236.

Now, we can add the fractions: 152/236 + 240/236 = <<152/236+240/236=392/236>>392/236.
### Answer: 392/236

Expected answer: 4146/2773

Correct? No

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

Mistral 7B:

 Reasoning: To compare and add fractions with different denominators, we need to find a common multiple of the denominators. The least common multiple (LCM) of 14 and 20 is 140. We can find the equivalent fractions with the common denominator 140 as follows:

10/14 * (140/140) + 70/20 * (7/7) = (10*140 + 14*70)/140 + (70*7)/20

Simplify the numerators:

(10*140 + 14*70) / 140 + (70*7) / 20
(1400 + 980) / 140 + 490 / 20
2380 / 140 + 490 / 20

Now, find the least common multiple of 140 and 20, which is 40. Multiply both the numerator and denominator of the second fraction by 2 to make the denominators the same:

(2380 + 490*2) / 140
(2380 + 980) / 140
3360 / 140

Now, divide the numerator by the denominator:

3360 / 140 = <<3360/140=23.642857142857143>>23.642857142857143 (rounded to 7 decimal places)
### Answer: 23.6428571 (rounded to 5 decimal places)

Expected answer: 59/14

Correct? No

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

Mistral 7B:

 Reasoning: To subtract fractions with different denominators, first find a common multiple of the denominators. The least common multiple (LCM) of 44 and 5 is 220. Multiply both the numerator and denominator of the first fraction by 5 and both the numerator and denominator of the second fraction by 44 to make the denominators equal:

(33/5) - (19/44) = (165/220) - (77/220)

Now subtract the numerators:

165 - 77 = 88

So, the result is 88/220.
### Answer: 88/220

Expected answer: 1357/220

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for 13 and 22, which is 66. Then we convert both fractions to have the same denominator.

(97/13) * (2/2) + (62/22) * (3/3) = (194/66) + (186/66)

Now, we add the fractions:

(194+186)/66 = 380/66

To convert this fraction to a decimal, we divide 380 by 66:

380 ÷ 66 = 5.75757575757576

Since we want the answer to the nearest hundredth, we round it to 5.76.

### Answer: 5.76

Expected answer: 1470/143

Correct? No

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

Mistral 7B:

  Reasoning: First, we find the quotient of 78 divided by 35: 78/35 = <<78/35=2.2222222222222225>>2.2222222222222225.
Next, we find the quotient of 30 divided by 60: 30/60 = <<30/60=0.5>>0.5.
Finally, we add the two quotients together: 2.2222222222222225 + 0.5 = <<2.2222222222222225+0.5=2.722222222222222>>2.722222222222222.
### Answer: 2.722222222222222

Expected answer: 191/70

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 75 and 58 is 390. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 49/75:
49 * (390/390) / 75 = (49 * 390) / (75 * 390) = 18609 / 2835

For 88/58:
88 * (390/390) / 58 = (88 * 390) / (58 * 390) = 33960 / 2184

Now, we add the two fractions:
(18609/2835) + (33960/2184)

To add the fractions, we find a common denominator, which is the least common multiple of 2835 and 2184. The LCM of 2835 and 2184 is 4260.

We convert each fraction to an equivalent fraction with the LCM as the denominator:

For 18609/2835:
(18609/2835) * (4260/4260) = 18609 * (4260/2835) / 4260 = 758409 / 4260

For 33960/2184:
(33960/2184) * (4260/4260) = 33960 * (4260/2184) / 4260 = 1433280 / 4260

Now, we add the two fractions:
(758409/4260) + (1433280/4260) = (758409 + 1433280) / 4260 = 2191689 / 4260

### Answer: 2191689/4260

Expected answer: 4721/2175

Correct? No

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

Mistral 7B:

 Reasoning: First, we calculate the division inside the parentheses:
(50 / 2) = 25
(50 / 32) = 1.5625 (rounded to four decimal places)

Now, we subtract the two results:
25 - 1.5625 = 23.4375
### Answer: 23.4375 (rounded to four decimal places)

Expected answer: 375/16

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions, which is 153. Then we convert both fractions to have the same denominator by multiplying the 77/30 by 5 and the 18/51 by 3.

(77/30) * (5/5) + (18/51) * (3/3) = (385/153) + (54/153)

Now we add the fractions:

(385+54)/153 = <<385+54=439>>439/153

### Answer: 439/153

Expected answer: 1489/510

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions, which is 37*4 = 148. Then we rewrite the fractions with the common denominator:
(36/37)*(4/4) + (8/3)*(1/4) = (144/148) + (8/148)
Now we add the fractions:
(144+8)/148 = 152/148
### Answer: 152/148

Expected answer: 110/37

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions, which is 44 (the least common multiple of 22 and 48). Then, we convert each fraction to have the same denominator:

(57/22) * (2/2) - (72/48) * (1/2) = (114/44) - (36/44)

Now, we subtract the fractions:

(114 - 36) / 44 = 78 / 44

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 2. Then, we divide both the numerator and the denominator by 2:

78 / 44 = (78 ÷ 2) / (44 ÷ 2) = 39 / 22

### Answer: 39/22

Expected answer: 12/11

Correct? No

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

Mistral 7B:

 Reasoning: To find the sum of two fractions, we need to have the same denominator. To do this, we can find the least common multiple (LCM) of the two denominators and convert each fraction to have that LCM as the denominator.

The LCM of 16 and 29 is 52.

Now, we convert each fraction to have a denominator of 52:

For 48/16, we multiply both the numerator and denominator by 3.4 (the factor that makes 16 a multiple of 52): 48*3.4 = 168 and 16*3.4 = 52. So, 48/16 becomes 168/52.

For 12/29, we multiply both the numerator and denominator by 2 (the factor that makes 29 a multiple of 52): 12*2 = 24 and 29*2 = 58. So, 12/29 becomes 24/58.

Now, we can add the two fractions: 168/52 + 24/58 = (168+24)/(52*1+58) = 192/110.

### Answer: 192/110

Expected answer: 99/29

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 20 and 75 is 150. So, we will find the equivalent fractions with the denominator 150 for both 37/20 and 16/75.

For 37/20, we multiply both the numerator and the denominator by 7.5 (which is the least common multiple of 20 and 150 divided by 20):

37 * 7.5 / 20 * 7.5 = 267.5 / 150

For 16/75, we multiply both the numerator and the denominator by 2 (which is the least common multiple of 75 and 150 divided by 75):

16 * 2 / 75 * 2 = 32 / 150

Now, we add the fractions:

267.5 / 150 + 32 / 150 = (267.5 + 32) / 150 = 299.5 / 150

To simplify the fraction, we find the greatest common factor of the numerator and the denominator:

The greatest common factor of 299 and 150 is 59.

So, the simplified fraction is 299.5 / 150 = 5.99 (rounded to two decimal places)
### Answer: 5.99 (rounded to two decimal places)

Expected answer: 619/300

Correct? No

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

Mistral 7B:

  Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 40 and 8 is 80. So, we can rewrite the fractions as follows:
83/40 = (83*2)/(40*2) = 166/80
6/8 = (6*10)/(8*10) = 60/80
Now, we can add the fractions:
166/80 + 60/80 = (166+60)/80 = 226/80
### Answer: 226/80

Expected answer: 113/40

Correct? Yes

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 69 and 61 is 264. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 37/69:
37 * (61/61) / (69/61) = (37 * 61) / 69 * 61 = 2237 / 69 * 61 = 14141 / 69

For 67/61:
67 * (69/69) / (61/69) = (67 * 69) / 61 * 69 = 4563 / 61

Now we can add the fractions:
14141/69 + 4563/61 = (14141 + 4563) / (69 * 61) = 18704 / 4189

### Answer: 18704/4189

Expected answer: 6880/4209

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 84 and 34 is 252. We can convert each fraction to an equivalent fraction with a denominator of 252.

For 89/84, we multiply both the numerator and the denominator by 3 to get 267/252.
For 75/34, we multiply both the numerator and the denominator by 7 to get 525/238.

Now, we find the LCM of the new denominators, which is 252. We convert 525/238 to an equivalent fraction with a denominator of 252 by multiplying both the numerator and the denominator by 11/11. This gives us 5835/2380.

Since the denominators are now the same, we can add the fractions: 267/252 + 5835/252 = <<267+5835=6102>>6102/252.

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 6102 and 252 is 6. We divide both the numerator and the denominator by 6 to get the simplified fraction: 1017/42.
### Answer: 1017/42

Expected answer: 4663/1428

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 78 and 83 is 314. We can find the LCM by multiplying the prime factors of both numbers and selecting the highest power of each prime factor.

For 78: 2^2 * 3 * 7 = 156
For 83: 2^2 * 7 * 7 = 343

The LCM is 314.

Now, we convert each fraction to an equivalent fraction with the common denominator 314.

For 51/78: (51 * 4)/(78 * 4) = 204/314
For 44/83: (44 * 4)/(83 * 4) = 176/314

Now, we add the fractions: 204/314 + 176/314 = (204 + 176)/314 = 380/314
### Answer: 380/314

Expected answer: 2555/2158

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 85 and 55 is 440. We can find the LCM by multiplying the prime factors of both numbers and keeping the highest power of each prime factor.

For 85: 5^2 * 7
For 55: 5^2 * 3

The LCM is 5^2 * 3 * 7 = 440

Now, we convert each fraction to an equivalent fraction with the common denominator 440.

For 99/85: (99 * 5) / (85 * 5) = 495/425

For 77/55: (77 * 8) / (55 * 8) = 616/440

Now, we add the fractions: 495/425 + 616/440

To add the numerators, we find a common multiple of 425 and 440. The LCM of 425 and 440 is 880.

Now, we express each fraction as a fraction with the common multiple 880:

For 495/425: (495 * 2) / (425 * 2) = 990/850

For 616/440: (616 * 2) / (440 * 2) = 1232/880

Now, we add the fractions: 990/850 + 1232/880

To add the numerators, we find a common multiple of 850 and 880. The LCM of 850 and 880 is 1760.

Now, we express each fraction as a fraction with the common multiple 1760:

For 990/850: (990 * 2) / (850 * 2) = 1980/1700

For 1232/880: (1232 * 2) / (880 * 2) = 2464/1760

Now, we add the fractions: 1980/1700 + 2464/1760

To add the numerators, we find a common multiple of 1700 and 1760. The LCM of 1700 and 1760 is 3420.

Now, we express each fraction as a fraction with the common multiple 3420:

For 1980/1700: (1980 * 2) / (1700 * 2) = 3960/3400

For 2464/1760: (2464 * 2) / (1760 * 2) = 4928/3400

Now, we add the fractions: 3960/3400 + 4928/3400

To add the numerators, we add 3960 + 4928 = 8888

To add the denominators, we add 3400 + 3400 = 6800

Now, we express the sum as a fraction: 8888/6800

### Answer: 8888/6800

Expected answer: 218/85

Correct? No

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

Mistral 7B:

 Reasoning: First, find the common multiple of the denominators 56 and 52, which is 264. Then convert both fractions to have the same denominator.

For 97/56, multiply both the numerator and the denominator by 4: (97*4)/(56*4) = 388/224

For 31/52, multiply both the numerator and the denominator by 4: (31*4)/(52*4) = 124/208

Now subtract the two fractions: 388/224 - 124/208

To find the least common multiple of 224 and 208, we find the smallest multiple that is divisible by both numbers. The least common multiple of 224 and 208 is 896.

Multiply the difference by the least common multiple to get a common denominator: (388-124)*896/224*208 = 264*264/224*208

Simplify the fraction: 264^2 / 224*208

Now, factor out the greatest common factor (GCF) of the numerator and denominator: 264^2 / (2*2*2*2*7*7*11*11)

Cancel out the common factors: (2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*

Expected answer: 827/728

Correct? No

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

Mistral 7B:

  To add fractions, we need to find a common denominator. The least common multiple of 74 and 51 is 364.

Now, we convert each fraction to have the common denominator 364:

(78/74) * (364/364) + (72/51) * (74/74)

This simplifies to:

(580/74) + (408/51)

To add the fractions, we find a common multiple of 74 and 51 for the denominators of the numerators. The least common multiple of 74 and 51 is 374.

Now, we multiply both fractions by a number such that the denominators become 374:

(580/74) * (374/374) + (408/51) * (74/74)

This simplifies to:

(2176/374) + (2808/374)

Now, we add the numerators:

(2176 + 2808) / 374

This simplifies to:

5084 / 374

### Answer: 5084/374

Expected answer: 1551/629

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 23 and 75, which is 195. Then we convert the fractions to have the same denominator:
(33/23) * (75/75) - (12/75) * (23/23) = (2525/195) - (276/195)
Now we subtract the fractions:
(2525 - 276) / 195 = 2249 / 195
### Answer: 2249/195

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.

Mistral 7B:

 Reasoning: First, we find the common denominator of 42 and 99, which is 396. Then we convert both fractions to have the same denominator:

85/42 * (396/396) - 98/99 * (396/396)

This simplifies to:

(85 * 396) / 1716 - (98 * 396) / 1716

Now we can perform the subtraction:

(34040 - 38464) / 1716

This simplifies to:

-14424 / 1716

To find the decimal approximation, we divide by 100:

-14424 / 1716 * 1/100 = -8.41 (rounded to the nearest hundredth)

### Answer: -8.41

Expected answer: 1433/1386

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 30 and 77 is 231. So, we will find the multiples of 30 and 77 and find the smallest one that is a multiple of both.

The multiples of 30 are: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070, 2100, 2130, 2160, 2190, 2220, 2250, 2280, 2310.

The multiples of 77 are: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, 1001, 1078, 1155, 1232, 1309, 1386, 1463, 1540, 1617, 1694, 1771, 1848, 1925, 2002, 2079, 2156, 2233, 2310, 2387, 2464, 2541, 2618, 2695, 2772, 2849, 2926, 3003, 3080, 3157, 3234, 3311, 3388, 3465, 3542, 3619, 3696, 3773, 3850, 3927, 4004, 4081, 4158, 4235, 4312, 4389, 4466, 4543, 4620, 4697, 4774, 4851, 4928, 4950.

The smallest multiple of both 30 and 77 is 231.

Now, we can convert the given fractions to have the denominator 231.

19/30 = (19*7)/(30*7) = 133/210
75/77 = (75*2)/(77*2) = 150/154

Now, we can add the fractions:

(133

Expected answer: 3713/2310

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 66 and 64 is 198. So, we will find the equivalent fractions with the denominator 198.

For 57/66, we multiply both the numerator and the denominator by 3:
57 * 3 / 66 * 3 = 171/198

For 39/64, we multiply both the numerator and the denominator by 5:
39 * 5 / 64 * 5 = 195/198

Now, we can add the fractions:
171/198 + 195/198 = <<171/198 + 195/198=366/198>>366/198
### Answer: 366/198

Expected answer: 1037/704

Correct? No

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

Mistral 7B:

 Reasoning: First, we need to find the common denominator for both fractions, which is 120.

For 80/13, we multiply the numerator and denominator by 10 (the least common multiple of 13 and 120) to get 800/120.

For 2/48, we multiply the numerator and denominator by 3 (the least common multiple of 48 and 120) to get 6/120.

Now, we can add the fractions:

(800/120) + (6/120) = (806/120)

### Answer: 806/120

Expected answer: 1933/312

Correct? No

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

Mistral 7B:

 Reasoning: First, we calculate the fraction 55/30 and get 1.8333333333333333.
Then, we calculate the fraction 1/72 and get 0.0138888888888889.
Now, we subtract the second fraction from the first one: 1.8333333333333333 - 0.0138888888888889 = 1.8204444444444445.
### Answer: 1.8204444444444445

Expected answer: 131/72

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 21 and 86 is 84. We can find the equivalent fractions with the common denominator 84 by multiplying the numerator and denominator of each fraction by appropriate factors.

For 69/21:
Multiplier for the numerator: 4 (since 4*69 = 276, which is less than 84)
Multiplier for the denominator: 4 (since 4*21 = 84)

So, the equivalent fraction is 69*4/21*4 = 276/84

For 71/86:
Multiplier for the numerator: 7 (since 7*71 = 497, which is less than 84)
Multiplier for the denominator: 12 (since 12*86 = 1032, which is greater than 84, but 12*86/84 = 9, which is a factor of 84)

So, the equivalent fraction is 71*7/86*12/84 = 497/84

Now, we can add the fractions:
(276/84) + (497/84) = (276+497)/84 = 773/84
### Answer: 773/84

Expected answer: 2475/602

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. We can find the least common multiple (LCM) of 60 and 45, which is 180. Then, we can convert each fraction to have the denominator 180.

For 24/60, we multiply both the numerator and denominator by 3: (24*3)/(60*3) = 72/180
For 42/45, we multiply both the numerator and denominator by 4: (42*4)/(45*4) = 168/180

Now, we can add the fractions: 72/180 + 168/180 = (72+168)/180 = 240/180

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator, which is 40. Then, we divide both the numerator and denominator by 40: 240/180 ÷ 40 = 6/15

### Answer: 6/15

Expected answer: 4/3

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 76 and 33 is 264. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 64/76:
64 * (33/33) / (76/33) = (64 * 33) / 264 = 2112 / 264

For 35/33:
35 * (76/76) / (33/76) = (35 * 76) / 264 = 2660 / 264

Now we can add the fractions:
(2112/264) + (2660/264) = (2112 + 2660) / 264 = 4772 / 264

### Answer: 4772/264

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.

Mistral 7B:

 Reasoning: To find the sum of the two fractions, we need to find a common denominator. The least common multiple of 16 and 10 is 80. So, we convert each fraction to an equivalent fraction with a denominator of 80.

For 47/16, we multiply both the numerator and the denominator by 5 (the smallest number such that 5*16 = 80 and 5 is less than 10):
47/16 * (5/5) = (47*5)/(16*5) = 235/80

For 96/10, we multiply both the numerator and the denominator by 8 (the smallest number such that 8*10 = 80 and 8 is less than 16):
96/10 * (8/8) = (96*8)/(10*8) = 768/80

Now, we add the two fractions:
235/80 + 768/80 = (235+768)/80 = 993/80

Since 993 is not a multiple of 80, we convert the fraction to a mixed number:
993/80 = 12 3/80
### Answer: 12 3/80

Expected answer: 1003/80

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the reciprocal of 32, which is 1/32. Then, we multiply the dividend (31) by the reciprocal (1/32) to get 31/32.
Next, we find the reciprocal of 2, which is 1/2. Then, we multiply the dividend (58) by the reciprocal (1/2) to get 58/2.
Finally, we add the two results: (58/2) + (31/32) = (58+31)/(2*32) = 89/64.
### Answer: 89/64

Expected answer: 959/32

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common denominator. The least common multiple (LCM) of 90 and 26 is 182.

Now, we convert each fraction to have the common denominator 182.

For 26/90, we multiply the numerator and denominator by 2: 26*2/90*2 = 52/180.
For 50/26, we multiply the numerator and denominator by 7: 50*7/26*7 = 350/182.

Now, we add the fractions: 52/180 + 350/182.

Since the denominators are very close, we can approximate the sum by adding the numerators and keeping the common denominator: 52+350 = 402.

However, to get the exact sum, we need to find a common multiple of 2 and 7 that is greater than 182 and less than 183 (since the sum of the numerators is less than 183). The least such number is 186.

Now, we adjust the fractions to have the new denominator 186:

For 52/180, we multiply the numerator and denominator by 9/9: 52*9/180*9 = 468/1620.
For 350/182, we multiply the numerator and denominator by 9/7: 350*9/182*9/7 = 1260/1287.

Now, we add the fractions: 468/1620 + 1260/1287.

To simplify the fractions, we find the least common multiple (LCM) of 1620 and 1287, which is 4956.

Now, we adjust the fractions again to have the new denominator 4956:

For 468/1620, we multiply the numerator and denominator by 3/3: 468*3/1620*3 = 1386/4860.
For 1260/1287, we multiply the numerator and denominator by 4/4: 1260*4/1287*4 = 5040/5148.

Now, we add the fractions: 1386/4860 + 5040/5148.

To find the least common multiple of the new denominators, we find the least common multiple of 4860 and 5148. The least common multiple of these two numbers is 24300.

Now, we adjust the fractions one last time to have the new denominator 24300:

For 1386/4860, we multiply the numerator and denominator by 5/5: 1386*5/4860*5 = 6930/24300.
For 5040/5148, we multiply the numerator and denominator by 4/4: 5040*4/5148*4 = 20160/20592.

Now, we add the fractions: 6930/24300 + 20160/20592.

To simplify the sum, we find the greatest common divisor (GCD) of the new numerators and denominators:

The GCD of 6930 and 20160 is 60.

Now, we divide both the numerator and denominator of each fraction by their GCD:

For 6930/24300, we divide the numerator and denominator by 60: 6930/60 = 115.5 and 24300/60 = 405.

For 20160/2059

Expected answer: 1294/585

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 98 and 82 is 756. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 80/98:
80 * (756/756) / 98 = (80 * 756) / (98 * 756) = 604800 / 73648 = 82/112

For 92/82:
92 * (756/756) / 82 = (92 * 756) / (82 * 756) = 688160 / 61312 = 112/102

Now we can add the fractions:
(82/112) + (112/102) = (82*102 + 112*82) / (112*102) = 8464 + 9024 / 11464 = 17488 / 11464

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(17488, 11464) = 4

Now we divide both the numerator and the denominator by the GCD:
17488 / 4 = 4372 and 11464 / 4 = 2866

So the sum of the fractions is 4372/2866
### Answer: 4372/2866

Expected answer: 3894/2009

Correct? No

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

Mistral 7B:

  Reasoning: To find the sum of two fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 44 and 5 is 220. We then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 89/44:
89 * (220/220) = (2120/44)

For 69/5:
69 * (44/44) = (69*44)/5 = (3002/5)

Now, we add the fractions:
(2120/44) + (3002/5)

To add the fractions, we need a common denominator, which is 220. So, we find the least common multiple of 44 and 220, which is 220. Then, we adjust the denominator of the fraction with the larger denominator to match the common denominator.

For (3002/5), we multiply the numerator and denominator by 44 to get (3002*44)/5*44 = (132088/220).

Now, we can add the fractions:
(2120/44) + (132088/220)

To add the fractions, we add the numerators and keep the denominator the same:
(2120+132088)/220

Now, we simplify the fraction:
(134208/220)

### Answer: 134208/220

Expected answer: 3481/220

Correct? No

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

Mistral 7B:

  Reasoning: First, we find the common multiple of 32 and 55, which is 160. Then, we multiply both the numerator and denominator of the first fraction by 5 and both the numerator and denominator of the second fraction by 4.
(79/32 - 52/55) * (5/5) * (4/4) = (395/160 - 208/220)
Now, we can subtract the fractions:
(395 - 208) / 160 = 187 / 160
### Answer: 187/160

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?

Mistral 7B:

 Reasoning: The usual length of a piece of wood is 45/2 feet. The piece they sold is 18/90 feet shorter, so its length is (45/2 - 18/90) feet.
To simplify the fraction, we can find a common denominator for 2 and 90, which is 90. So, (45/2 - 18/90) = (90*45 - 2*18)/90 = (3600 - 360)/90 = 3240/90.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 90. So, 3240/90 = 36.
### Answer: 36 feet.

Expected answer: 223/10

Correct? No

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

Mistral 7B:

  Reasoning: To find the least common multiple (LCM) of the denominators 92 and 74, we list their multiples until we find a common multiple:

Multiples of 92: 92, 184, 276, 368, 460, 552, 644, 736, 828, 920, 1012, 1104, 1206, 1308, 1410, 1512, 1614, 1716, 1818, 1920, 2022, 2124, 2226, 2328, 2430, 2532, 2634, 2736, 2838, 2940, 3042, 3144, 3246, 3348, 3450, 3552, 3654, 3756, 3858, 3960, 4062, 4164, 4266, 4368, 4470, 4572, 4674, 4776, 4878, 4980, 5082, 5184, 5286, 5388, 5490, 5592, 5694, 5796, 5898, 5990, 6092, 6194, 6296, 6398, 6500, 6602, 6704, 6806, 6908, 7010, 7112, 7214, 7316, 7418, 7520, 7622, 7724, 7826, 7928, 8030, 8132, 8234, 8336, 8438, 8540, 8642, 8744, 8846, 8948, 9050, 9152, 9254, 9356, 9458, 9560, 9662, 9764, 9866, 9968, 10070, 10172, 10274, 10376, 10478, 10580, 10682, 10784, 10886, 10988, 11090, 11192, 11294, 11396, 11498, 11600, 11702, 11804, 11906, 12008, 12110, 12212, 12314, 12416, 12518, 12620, 12722, 12824, 12926, 13028, 13130, 13232, 13334, 13436, 13538, 13640, 13742, 13844, 13946, 14048, 14150, 14252, 14354, 14456, 14558, 14660, 14762, 14864, 14966, 15068, 15170, 15272, 1537

Expected answer: 4353/3404

Correct? No

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

Mistral 7B:

  Reasoning: First, we need to find the common denominator for the fractions. The least common multiple of 1 and 30 is 30, so we can rewrite 54/1 as 54*30/30 and 62/30 as 62.
Then, we can add the fractions: (54*30/30) + 62 = 162 + 62 = 224.
### Answer: 224/1 (which can be simplified to 224)

Expected answer: 841/15

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 29 and 7 is 203. We can find the equivalent fractions with the common denominator 203 as follows:

85/29 * (203/203) + 47/7 * (29/29) = (85*203)/(29*203) + (47*29)/(7*29)

Simplifying the fractions:

(85*203)/(203*29) + (47*29)/(29*7) = (17645)/(581) + (1363)/(581)

Adding the numerators:

(17645+1363)/(581) = 18008/581

### Answer: 18008/581

Expected answer: 1958/203

Correct? No