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.

Mistral 7B:

 Reasoning: First, we add the fractions 48/56 and 95/23 by finding a common denominator, which is 117. Then, we add the numerators and keep the denominator the same: (48/56 + 95/23) = (48*23/117 + 95*56/117) = (1063/117).
Next, we subtract 34/26 from the result: (1063/117 - 34/26) = (1063*26 - 34*117)/(117*26) = (27518 - 4091)/2962 = 23427/2962.
Finally, we simplify the fraction by finding the greatest common divisor of the numerator and the denominator, which is 29: 23427/2962 = (23427/29) * (1/98) = 801/98.
### Answer: 801/98

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?

Mistral 7B:

 Reasoning: To add the fractions, find a common denominator, which is 189 (the least common multiple of 9 and 65).

For 88/9, multiply the numerator and denominator by 21 (since 21*9 = 189 and 21 is the smallest number that can be multiplied by 9 to get 189): 88*21/9*21 = 1832/189.

For 28/65, multiply the numerator and denominator by 3 (since 3*65 = 195 and 3 is the smallest number that can be multiplied by 65 to get 195): 28*3/65*3 = 84/195.

Now, add the fractions: (1832/189) + (84/195) = (1832+84)/189*195 = 1916/1890.

To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator: GCD(1916, 1890) = 84.

Divide both the numerator and denominator by the GCD: 1916/84 / 1890/84 = 23/23.

### Answer: 23/23

Expected answer: 210434/21645

Correct? No

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

Mistral 7B:

 To simplify the fractions, we find the greatest common divisor (GCD) of the numerators and denominators, and adjust the fractions accordingly.

For the first fraction, the GCD of 63 and 41 is 7. So, we adjust the fraction to (63/41) = (9*7)/(41*1) = 9/41.

For the second fraction, the GCD of 44 and 50 is 4. So, we adjust the fraction to (44/50) = (11*4)/(50*1) = 11/50.

Now, we add the simplified fractions: (9/41) + (11/50) = (9+11)/(41*50) = 20/2050.

To simplify the fraction further, we find the GCD of 20 and 2050. The GCD of 20 and 2050 is 20. So, we adjust the fraction to 20/2050 = 1/102.5.

However, since we cannot have a fraction with a denominator that is not a whole number, we cannot simplify the expression any further.

### Answer: The result cannot be simplified any further. The simplified expression is (9/41) + (11/50) = 1/102.5.

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.

Mistral 7B:

 Reasoning: To find the total amount of cake, we add the fractions by finding a common denominator (which is 41*77 = <<41*77=3087>>3087) and then adding the numerators: (71*77) + (41*41) = <<(71*77)+(41*41)=5482>>5482.
Now, we divide the total by the common denominator: 5482/3087 = <<5482/3087=1.7833333333333333>>1 1/3.
### Answer: 1 1/3 cido

I apologize for the mistake in my previous response. The correct answer should be:

Reasoning: To find the total amount of cake, we add the fractions by finding a common denominator (which is 41*77 = <<41*77=3087>>3087) and then adding the numerators: (71*77) + (41*41) = <<(71*77)+(41*41)=5482>>5482.
Now, we divide the total by the common denominator: 5482/3087 = <<5482/3087=1.7833333333333333>>1 1/3.
### Answer: 1 1/3

Expected answer: 7148/3157

Correct? No

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

Mistral 7B:

 To find a common denominator for 65 and 35, we can find the least common multiple (LCM) of 65 and 35. The LCM of 65 and 35 is 105.

Now, we can rewrite the fractions with the common denominator 105:

10/65 = (10*2)/(65*2) = 20/130
56/35 = (56*3)/(35*3) = 168/105

Now, we can add the fractions:

(20/130) + (168/105) = (20+168)/130 = 188/130

### Answer: 188/130

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.

Mistral 7B:

 To add the two fractions, we need a common denominator. The least common multiple of 81 and 47 is 364.

Let's find the equivalent fractions with the common denominator:

For 75/81, we can multiply both the numerator and denominator by 4 to get 300/364.
For 97/47, we can multiply both the numerator and denominator by 8 to get 776/364.

Now, we can add the fractions:

300/364 + 776/364 = (300 + 776)/364 = 1076/364

### Answer: 1076/364

Expected answer: 3794/1269

Correct? No

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

Mistral 7B:

 Reasoning: To find the common denominator, we find the least common multiple (LCM) of 1 and 53, which is 53.

Multiplying 88 by 1 gives 88, and multiplying 38 by 1 gives 38.

Now, we can write 88 as 88*(53/53) and 38 as 38*(1/53).

Adding these two fractions gives:

88*(53/53) + 38*(1/53) = (88*53 + 38) / 53 = 4688/53

Simplifying the fraction:

4688/53 = 90 (since 4688 is divisible by 53).

### Answer: 90/1 (or just 90)

Expected answer: 4626/53

Correct? No

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

Mistral 7B:

  Reasoning: To find the common denominator, we find the least common multiple (LCM) of 94 and 59. The LCM of 94 and 59 is 396.

Now, we convert each fraction to have the same denominator (396) by multiplying the first fraction by 4/4 and the second fraction by 6/6.

((80/94) * (4/4)) + ((78/59) * (6/6)) = (320/396) + (474/396)

Now, we add the fractions:

(320+474)/396 = 794/396

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator. The GCF of 794 and 396 is 1.

Since the GCF is 1, the fraction is already in its simplest form.

### Answer: 794/396

Expected answer: 6026/2773

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. The least common multiple of 56 and 50 is 160. So, we multiply both the numerator and denominator of the first fraction by 4 and both the numerator and denominator of the second fraction by 16 to get the same denominator:

89/56 * (4/4) + 48/50 * (16/16) = (356/224) + (768/800)

Now, we can simplify the fractions:

356/224 simplifies to 17/48
768/800 simplifies to 19/100

So, the sum of the fractions is (17/48) + (19/100)

### Answer: (17/48) + (19/100)

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.

Mistral 7B:

 Reasoning: First, we find the sum of 96/11 and 12/5:
(96/11 + 12/5) = (96*5 + 12*11)/(11*5) = 480/55

Now, we subtract 38/87 from the sum:
(480/55 - 38/87) = (480*87 - 38*55)/(55*87) = 3960/4685
### Answer: 3960/4685

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.

Mistral 7B:

 Reasoning: First, let's find the given numbers as fractions:
82/9 and 82/63 are equivalent to 820/900 and 82/630, respectively.
To subtract the second fraction from the first, we need to find a common denominator, which is 900.
So, we need to find a multiple of 630 that is also a multiple of 900. The least common multiple of 630 and 900 is 1890.
Now, we can rewrite the second fraction as (82/630)*(1890/1890) = 1890/9000.
Now, we can subtract the second fraction from the first: (820/900) - (1890/9000) = (820-1890)/9000 = -1070/9000.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 10: (1070/10)/(9000/10) = 107/900.
### Answer: 107/900

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.

Mistral 7B:

 Reasoning: First, find the common denominator for the fractions 80/91, 26/24, and 23/3. The least common multiple of 91, 24, and 3 is 24*3*3 = 144.

Convert each fraction to have the common denominator:
80/91 becomes (80*4)/(91*4) = 320/364
26/24 becomes (26*6)/(24*6) = 156/144
23/3 becomes (23*48)/3 = 1044/3

Now, subtract the sum of 320/364 and 156/144 from 1044/3:
(1044/3) - ((320+156)/144) = (1044-476)/3 = 568/3
### Answer: 568/3

Expected answer: 6229/1092

Correct? No

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

Mistral 7B:

  Reasoning: To simplify the fractions, we find the common multiple of their denominators (18 and 60) which is 180. We then adjust the numerators accordingly.

For 37/18, the new numerator is 37*10 = <<37*10=370>>370.
For 24/60, the new numerator is 24*10 = <<24*10=240>>240.

Now, we have 370/180 + 240/180 = <<370/180+240/180=610/180>>610/180.

To simplify this fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, which is 180. We then divide both the numerator and the denominator by the GCD.

610/180 ÷ 180/180 = <<610/180 ÷ 180/180=3.4444444444444446>>3.4444444444444446.

However, since we are dealing with fractions, the final answer should be in the form of a fraction. So, we multiply both the numerator and the denominator by 100 to get a more common denominator.

3.4444444444444446 * 100 = <<3.4444444444444446*100=344.44444444444446>>344.44444444444446
344.44444444444446 / 100 = <<344.44444444444446/100=3.4444444444444446>>3.4444444444444446

### Answer: 3 3/8 (when expressed as a mixed fraction) or 3.4444444444444446 (when expressed as a decimal)

Expected answer: 221/90

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 41 and 62 is 209. So, we will find the multiples of 41 and 62 that are less than 209, and then find the lowest common multiple.

Multiples of 41: 41, 82, 123, 164, 205
Multiples of 62: 62, 124, 186

The lowest common multiple is 209.

Now, we will convert each fraction to have the denominator 209.

For 33/41, we multiply both the numerator and the denominator by 5: (33*5)/(41*5) = 165/209

For 95/62, we multiply both the numerator and the denominator by 3: (95*3)/(62*3) = 285/186

Now, we will find the least common multiple of the new denominators, which is 209. We will convert 186 to 209 by multiplying by 1.153846154 (209/186).

285*1.153846154 = 328.472365

Since we cannot have a fractional number of clips, we will round down to the nearest whole number, which is 328.

Now, we will convert 165 and 328 to have the same denominator, which is 209.

165/209 * (209/209) = 165/209
328/209 * (209/1) = 328/1

Now, we will add the fractions: (165/209) + (328/1) = (165+328)/1 = 493/1

Since the fraction 493/1 is already simplified, we will leave it as it is.

### Answer: 493/1

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.

Mistral 7B:

 Reasoning: First, find the common denominator for the fractions in the first expression, which is 38. So, the expression becomes:

((30 * 38 / 11 * 38) + (72 * 11 / 38 * 38)) / (38 * 38)

Simplifying the expression:

((1100 + 792) / 1444)

Now, add the second expression:

((1100 + 792) / 1444) + (81 / 34)

To add the fractions, we need a common denominator. Let's use 1444. Multiply the second fraction by 4 to get a common denominator:

((1100 + 792) / 1444) + (324 / 1444)

Now, add the numerators:

(1424 / 1444)

### Answer: 1424/1444

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.

Mistral 7B:

 Reasoning: First, we add the fractions (64 / 34) and (3 / 24) by finding a common denominator, which is 126.
(64 / 34) as a fraction with a denominator of 126 is (64 * 3 / 34 * 3) = (192 / 102).
(3 / 24) as a fraction with a denominator of 126 is (3 * 5 / 24 * 6) = (15 / 144).
Now, we add the fractions: (192 / 102) + (15 / 144) = (192 + 15) / (102 * 6) = (207 / 612).
Finally, we add the result to (41 / 96): (207 / 612) + (41 / 96) = (207 * 96 + 41 * 612) / (612 * 96) = (19649 / 58336).
### Answer: 19649/58336

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?

Mistral 7B:

 Reasoning: First, Daniel adds 83/73 and 53/77. To add fractions with different denominators, he needs to find a common multiple of the two denominators. The least common multiple (LCM) of 73 and 77 is 531. He then converts both fractions to have 531 as their denominator.

For 83/73, he multiplies both the numerator and denominator by 7 to get 581/531.
For 53/77, he multiplies both the numerator and denominator by 7 to get 371/531.

Now, he adds the two fractions: 581/531 + 371/531 = 952/531.

Next, Daniel adds 80/76 to the result 'w'. To do this, he first converts 80 to a fraction with 531 as the denominator by multiplying it by 7 (581). This gives him 3666/531.

Finally, he adds the two fractions: 952/531 + 3666/531 = 4618/531.

However, the final answer should be in simplified form. To simplify the fraction, he finds the greatest common divisor (GCD) of the numerator and denominator and divides both by the GCD. The GCD of 4618 and 531 is 13.

So, the final answer is 4618/531 simplified to 354/41.
### Answer: 354/41

Expected answer: 307360/106799

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, the denominators must be the same. We can find the least common multiple (LCM) of the denominators 20 and 66, which is 132. Then, we can convert each fraction to have the common denominator 132.

For 27/20, we multiply the fraction by 6.6 (which is the ratio of 132 to 20) to get 162/132.

For 14/66, we multiply the fraction by 1 (which is the ratio of 132 to 66) to get 14/132.

Now, we can add the fractions: 162/132 + 14/132 = (162+14)/132 = 176/132.

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator, which is 16. We divide both the numerator and denominator by 16: 176/132 ÷ 16 = 11/8.

### Answer: 11/8

Expected answer: 1031/660

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 14 and 47, which is 14*47 = 678. Then, we convert each fraction to have the same denominator:
(32/14)*(47/47) - (22/47)*(14/14) = (47*32 - 14*22)/678
Simplifying the numerator: 47*32 - 14*22 = 1504 - 294 = 1210
### Answer: 1210/678 (as a mixed fraction, it would be 1 336/678)

Expected answer: 598/329

Correct? No

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

Mistral 7B:

 To add fractions, they must have the same denominator. The least common multiple (LCM) of 61 and 53 is 313. We can find the LCM by multiplying the prime factors of both numbers and keeping the highest power of each prime factor.

For 61: 61 = 7^1 * 3^1
For 53: 53 = 5^2 * 7^0

LCM = 7^1 * 3^1 * 5^2 = 313

Now, we can convert each fraction to have a denominator of 313:

For 74/61: (74 * 5) / (61 * 5) = 370/305

For 41/53: (41 * 6) / (53 * 6) = 246/318

Now, we can add the fractions:

(370 + 246) / 305 = 616/305

### Answer: 616/305

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?

Mistral 7B:

 Reasoning: First, we find the common denominator for 2, 57, and 97, which is 501. Then convert the fractions to have the same denominator:

94/2 = (94*250)/(2*501) = 470/501
74/57 = (74*9)/(57*9) = 74/519

Now, subtract the fractions:

(470/501) - (74/519) = (470*519 - 74*501)/(501*519) = 242960/263001

Finally, add the result to 56/97:

(242960/263001) + (56*97)/97 = (242960+5248)/263001 = 243488/263001

### Answer: 243488/263001

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.

Mistral 7B:

 Reasoning: First, we find the sum of 24/34 and 44/87.
(24/34 + 44/87) = (8*24 + 3*44)/(34*87) = 192/2916 + 132/2916 = (192+132)/2916 = 324/2916.
Now, we add 14/89 to the sum we found.
(14/89 + 324/2916) = (14*2916 + 324*89)/(89*2916) = 40644/261364 + 28376/261364 = (40644+28376)/261364 = 68920/261364.
To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 40.
68920/261364 simplifies to 1723/6534.
### Answer: 1723/6534

Expected answer: 180194/131631

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 30 and 60 is 60. We can convert both fractions to have a common denominator of 60.

For 73/30, we multiply the fraction by 2 (since 2*30 = 60) to get 146/60.
For 8/60, we leave it as it is because it already has a denominator of 60.

Now we can add the fractions: 146/60 + 8/60 = (146+8)/60 = 154/60.

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 154 and 60 is 2. We divide both the numerator and denominator by the GCD: 154/60 = (154/2)/(60/2) = 77/30.

### Answer: 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.

Mistral 7B:

 Reasoning:
First, let's find the sum of the first two fractions (82/49 + 45/60). To do this, we need a common denominator. The least common multiple (LCM) of 49 and 60 is 180. So, we'll convert both fractions to have 180 as their denominator:

(82/49) * (3/6) + (45/60) * (3/5) = (246/180) + (135/180) = (381/180)

Now, we'll add this result to the third fraction (99/59). To do this, we'll convert the third fraction to have 180 as its denominator:

(99/59) * (3/3) = (297/177)

Now, we'll add the two fractions:

(381/180) + (297/177) = (381*177 + 297*180)/(180*177) = (67837/32660)

To simplify this fraction, we'll find the greatest common divisor (GCD) of the numerator and the denominator:

GCD(67837, 32660) = 303

Now, we'll divide both the numerator and the denominator by their GCD:

(67837/303) / (32660/303) = (223) / (108)

### Answer: 223/108

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.

Mistral 7B:

  Reasoning for step 1: To subtract 76/30 from 91/16, we first find a common denominator, which is 48. So, we multiply the numerator and denominator of 91/16 by 3 and the numerator and denominator of 76/30 by 2 to get 273/48 and 152/48 respectively. Then, we subtract 152/48 from 273/48 to get 121/48.

Reasoning for step 2: To add the result from step 1 to 18/44, we first find a common denominator, which is 168. So, we multiply the numerator and denominator of 121/48 by 3 and the numerator and denominator of 18/44 by 4 to get 363/168 and 72/168 respectively. Then, we add 363/168 and 72/168 to get 435/168.

To round the final answer to the nearest hundredth, we divide the numerator by the denominator and round the result to the nearest hundredth.

435/168 = 2.5833333333333335

Rounding to the nearest hundredth, we get 2.58.

### Answer: 2.58 (rounded to the nearest hundredth)

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.

Mistral 7B:

 Reasoning: First, calculate the sum of the fractions:
(8/91) + (49/5) = (8*5 + 49*91)/(91*5) = 40 + 4440/455 = 4480/455 (simplified to 896/91)
Now, subtract (32/76) from the result:
896/91 - 32/76 = (896*76 - 32*91)/(91*76) = 66848/6836 (simplified to 177/174)
### Answer: 177/174

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.

Mistral 7B:

 Reasoning: First, calculate the value of ((75 / 45) + (5 / 49)):
(75 / 45) + (5 / 49) = (300 / 450) + (15 / 49) = (300+15) / (450*49) = 315 / 22050

Now, add this value with 3 / 58:
315 / 22050 + 3 / 58 = (315*58 + 3*22050) / (22050*58) = 18033 / 1244600

### Answer: 18033/1244600

Expected answer: 15521/8526

Correct? No

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

Mistral 7B:

 Reasoning: To find the lowest terms, we need to find the greatest common divisor (GCD) of the denominators 15 and 95.
The prime factorization of 15 is 3*5, and the prime factorization of 95 is 5*19.
The GCD of 3 and 19 is 1.
So, the lowest terms for the fraction would be (43/15) * (1/95) * (15/15) * (95/95) = (43*15)/(15*95) = <<(43*15)/(15*95)=(43/95)>>(43/95).
### Answer: (43/95)

Expected answer: 718/285

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the two fractions, which is 180. Then, we convert each fraction to have the same denominator:
(78/45) * (36/36) + (89/36) * (45/45) = (276/180) + (89*45)/(36*45) = (276+89*45)/180
Simplifying the fraction:
(276+3960)/180 = 4236/180
### Answer: 4236/180

Expected answer: 757/90

Correct? No

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?

Mistral 7B:

 Reasoning: First, we find the common denominator of 34 and 74, which is 252. Then, we convert both fractions to have the same denominator:

93/34 becomes (93*74)/(34*74) = 6801/2468
77/74 becomes (77*34)/(74*34) = 2622/2468

Now, we subtract the second fraction from the first:

6801/2468 - 2622/2468 = (6801-2622)/2468 = 4179/2468

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator:
GCD(4179, 2468) = 1

So, the fraction is already in its simplest form.
### Answer: 4179/2468

Expected answer: 1066/629

Correct? No

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

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 35 and 85 is 290. We can multiply both the numerator and denominator of each fraction by a number that makes the denominator equal to the LCM.

For 86/35, we multiply the numerator and denominator by 8 to get 688/280.
For 68/85, we multiply the numerator and denominator by 3 to get 204/255.

Now, we can add the fractions: 688/280 + 204/255.

To find a common denominator, we can multiply the least common multiple of the denominators (290) by 1 (which doesn't change the value of the fraction). So, we multiply 280 by 1 and 255 by 1.12 (which is the ratio of the LCM to 280).

688/280 * (290/290) + 204/255 * (290/255 * 1.12) = 688*290/280*290 + 204*290/255*1.12

Simplifying the fractions:
688*290/280*290 = 200,720
204*290/255*1.12 = 300

Now, we add the numerators: 200,720 + 300 = 201,020

Finally, we write the sum as a simplified fraction: 201,020/290
### Answer: 201,020/290 (simplified fraction)

Expected answer: 114/35

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 53 and 94 is 474. We can find the LCM by multiplying the prime factors of both numbers and selecting the highest power of each prime factor.

For 53: 5^1 * 7^1 = 35
For 94: 2^2 * 7^1 * 13^1 = 274

The LCM is 474 = 2^2 * 5^1 * 7^1 * 13^1

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 99/53: (99/53) * (474/474) = (99 * 474)/(53 * 474) = 46361/2362

For 67/94: (67/94) * (474/474) = (67 * 474)/(94 * 474) = 31882/4488

Now, we can add the fractions:

(46361/2362) + (31882/4488) = (46361 + 31882)/(2362 * 4488/4488) = (78243/2362)

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.

GCD(78243, 2362) = 11

So, the simplified fraction is (78243/2362) / (11/11) = 78243/2362
### Answer: 78243/2362

Expected answer: 12857/4982

Correct? No

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

Mistral 7B:

 Reasoning: To subtract fractions, we need to find a common denominator for both fractions. The least common multiple (LCM) of 27 and 33 is 81. We can express 74/27 as (74*3)/(27*3) = 222/81 and 56/33 as (56*2)/(33*2) = 112/66. Now, we can subtract the numerators and keep the denominator the same: (222-112)/81 = 110/81.
### Answer: 110/81

Expected answer: 310/297

Correct? No

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.

Mistral 7B:

 Reasoning: First, find the sum of 96/40 and 11/99.
(96/40 + 11/99) = (3*96 + 11)/(40*99) = (387 + 11)/4000 = 398/4000
Now, subtract 91/65 from 398/4000.
(398/4000 - 91/65) = (398*65 - 91*4000)/(4000*65) = (24830 - 364000)/260000 = -119567/260000
Since the result is negative, we can simplify the fraction by multiplying both the numerator and the denominator by -1.
(-1)*(-119567/260000) = 119567/260000
### Answer: 119567/260000

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?

Mistral 7B:

  Reasoning:
1) First, we calculate the value of h:
h = (10/5) + (35/27)
h = 2 + (35*4/27)
h = 2 + (140/27)
h = 2 + (140/27) * (1/1)
h = 2 + 5.1852 (rounded to 4 decimal places)

2) Then, we calculate the value of p:
p = h + (47/99)
p = 2 + 5.1852 + (47/99)
p = 7.1852 + (47/99)
p = 7.1852 + 0.4747 (rounded to 4 decimal places)

### Answer: p = 7.6599 (rounded to 4 decimal places)

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?

Mistral 7B:

 Reasoning: To add the fractions, we need to find a common denominator for both 81 and 66. The least common multiple of 81 and 66 is 297. So, we can rewrite the fractions as follows:
90/81 = (9*3)/(81*3) = 9/243
2/66 = (2*1)/(66*1) = 2/66

Now, we can add the fractions:
(9/243) + (2/66) = (9+2)/(243*66) = 11/15746

To simplify the fraction, we can factor the numerator:
11 = 1*11

The greatest common factor of 1 and 15746 is 1. So, the fraction is already in its simplest form.
### Answer: 11/15746

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?

Mistral 7B:

  Reasoning: Since both pieces of ribbon are of the same length, we can find the length of one piece by finding the common multiple of 41 and 1 (since the length of the second piece is the length of the first piece). The least common multiple of 41 and 1 is 41 itself.
The length of one piece of ribbon is 56/41 yards.
Since both pieces are of the same length, the combined length of both pieces is 2 \* (56/41) = <<2*(56/41)=112/41>>112/41 yards.
### Answer: 112/41 yds.

Expected answer: 112/41

Correct? Yes

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

Mistral 7B:

 To find the sum of the two fractions, we first need to find a common denominator. The least common multiple of 75 and 92 is 360.

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

92/75 becomes (92*4)/(75*4) = 368/300
66/92 becomes (66*4)/(92*4) = 264/368

Now, we can add the fractions:

(368/300) + (264/368) = (368+264)/368 = 632/368

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

The greatest common factor of 632 and 368 is 16.

So, the simplified fraction is 632/368 simplified to 39/22.
### Answer: 39/22

Expected answer: 6707/3450

Correct? No

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

Mistral 7B:

 The sum of 32/65 and 73/22 is (32*22 + 65*73)/(65*22) = 684/1460.
### Answer: 684/1460

Expected answer: 5449/1430

Correct? No

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

Mistral 7B:

 Reasoning: To find the difference between two fractions, we subtract the numerators and keep the common denominator. In this case, the common denominator is 34.

So, (51 - 12) / 34 = (39) / 34

Now, to simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator, which is 1.

So, (39) / 34 simplifies to 1.
### Answer: 1

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?

Mistral 7B:

 Reasoning: First, convert the fractions to have a common denominator. The least common multiple of 8 and 44 is 88. So, we can rewrite 93/8 as 1165/1056 and 58/44 as 232/440.

Now, add the fractions: (1165+232)/1056 + (51+1165)/88 = (1165+232+51*88)/88*1056 = (1458+9288)/88*1056 = 10046/88.

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator. The greatest common divisor of 10046 and 88 is 88. So, the final result is 10046/88 divided by the greatest common divisor, which is 113.

### Answer: 113 1/88

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.

Mistral 7B:

  Reasoning: To subtract fractions with different denominators, we first find a common denominator. The least common multiple of 5 and 25 is 50. So, we multiply the fractions by appropriate factors to make the denominators the same.

82/5 * (1/10) - 98/25 * (2/2) = (82/50) - (196/50)

Now, we subtract the numerators: (82 - 196)/50

### Answer: -114/50

Expected answer: 312/25

Correct? No

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

Mistral 7B:

 To add the two fractions, we need a common denominator. The least common multiple of 50 and 22 is 110.

Let's find the equivalent fractions with the common denominator:

(64/50) * (2/2) + (70/22) * (5/5) = (128/100) + (350/110)

Now, add the numerators:

(128 + 350) / 110 = 478 / 110

### Answer: 478/110

Expected answer: 1227/275

Correct? No

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?

Mistral 7B:

 Reasoning: First, we need to find the value of s.

s = (24/6) + (40/53)
s = (4 + 0.433962264) = 4.433962264

Since s was added to itself to get b, b = 2 * s = 2 * 4.433962264 = <<2*4.433962264=8.867924528>>8.87 (rounded to two decimal places).
### Answer: 8.87

Expected answer: 504/53

Correct? No

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

Mistral 7B:

 Reasoning: First, find the common denominator for the fractions, which is 99. Convert the fractions to have the common denominator:

(80/90) * (11/11) + (52/11) * (9/9) = (880/990) + (468/990)

Now, add the fractions:

(1348/990) = 1 4/990

Since the fraction 4/990 is not a common fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

(1348/990) = (1348/990) * (1/4) = (337/247.5)

However, since we are looking for a mixed number, we need to convert the improper fraction to a mixed number. To do this, we find the whole number part of the fraction by dividing the numerator by the denominator:

337 ÷ 247 = 1

So, the mixed number is 1 337/247.
### Answer: 1 337/247

Expected answer: 556/99

Correct? No

Problem: Calculate the sum of 12/18 and 91/74. Express 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 18 and 74 is 252.

Now, we convert each fraction to have the common denominator 252:

For 12/18, multiply the numerator and denominator by 14 (which is the LCM of 1 and 14, the multiples of 18 and 252 divided by 18):
12 * 14 / 18 * 14 = 168 / 252

For 91/74, multiply the numerator and denominator by 3 (which is the LCM of 74 and 252 divided by 74):
91 * 3 / 74 * 3 = 273 / 252

Now, add the fractions:
168/252 + 273/252 = (168+273)/252 = 441/252

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator:
GCF(441, 252) = 9

Now, divide both the numerator and denominator by the GCF:
441/252 = (441/9) / (252/9) = 49/28

### Answer: 49/28

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.

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 2 and 25 is 50. We can rewrite the fractions as:

7/2 = (7*25)/(2*25) = 175/50
51/25 = (51*2)/(2*25) = 102/50

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

175/50 + 102/50 = (175+102)/50 = 277/50

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

GCD(277, 50) = 1

Since the GCD is 1, the fraction is already in its simplest form.
### Answer: 277/50

Expected answer: 277/50

Correct? Yes

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.

Mistral 7B:

 Reasoning: The expression ((68 / 69) + (93 / 7)) is not a monomial, but a rational expression. To add it to (3 / 46), we first need to find a common denominator for the two rational expressions. The least common multiple of 69 and 7 is 247.

Now, we can rewrite the rational expressions as follows:

((68 / 69) * (7 / 7)) + ((93 / 7) * (69 / 69)) = (476 / 483) + (631 / 483)

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

(476 + 631) / 483 = 1007 / 483

### Answer: 1007/483

Expected answer: 13849/966

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. The least common multiple of 98 and 4 is 392. So, we multiply the 31/98 by 4/4 and 60/4 by 98/98.

(31/98) * (4/4) + (60/4) * (98/98) = (124/392) + (490/392)

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

124 + 490 = 614

So, the result is 614/392.

### Answer: 614/392

Expected answer: 1501/98

Correct? No

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

Mistral 7B:

 Reasoning: First, we find a common denominator for the fractions, which is 6.

((3 / 2) + (24 / 36)) = (9 / 6) + (8 / 6) = (9 + 8) / 6 = 17 / 6
### Answer: 17/6

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?

Mistral 7B:

  Reasoning: First, find the least common multiple (LCM) of the denominators (54, 13, and 41) to simplify the fractions. The LCM of 54, 13, and 41 is 252.

1. Convert each fraction to an equivalent fraction with the LCM as the denominator:
   - 92/54 = (92*4)/(54*4) = 368/216
   - 90/13 = (90*18)/(13*18) = 1620/2268
   - 46/41 = (46*6)/(41*6) = 276/2460

2. Add the fractions:
   (368/216) + (1620/2268) - (276/2460)

3. Simplify the sum:
   (368+1620-276)/(216*2268*2460)
   (2284)/(1012960)

4. Simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator:
   GCF(2284, 1012960) = 4
   Simplified fraction: (2284/4)/(1012960/4) = 571/253240

### Answer: 571/253240

Expected answer: 108002/14391

Correct? No

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

Mistral 7B:

 Reasoning: Twice the value of 29/23 is 2*(29/23) = (2*29)/23 = <<2*29/23=(58/23)>>58/23.
### Answer: 58/23

Expected answer: 58/23

Correct? Yes

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 20 and 72 is 144. So, we find the equivalent fractions of 29/20 and 17/72 with a denominator of 144.

For 29/20, we multiply both the numerator and denominator by 7:
(29*7)/(20*7) = 203/140

For 17/72, we multiply both the numerator and denominator by 12:
(17*12)/(72*12) = 204/864

Now, we can add the fractions:
203/140 + 204/864 = (203+204)/(140*864) = 407/1140

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator:
GCD(407, 1140) = 1

So, the simplified fraction is 407/1140.
### Answer: 407/1140

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.

Mistral 7B:

 Reasoning: First, we simplify the fractions by finding the greatest common divisor (GCD) of the numerators and denominators, and then dividing both the numerator and denominator by the GCD.

GCD(36, 27) = 9, so 36/27 simplifies to 4/3.
GCD(80, 10) = 10, so 80/10 simplifies to 8.
GCD(73, 79) = 1, so 73/79 remains unchanged.

Now we can add the simplified fractions: (4/3 + 8) - (73/79).

Adding the fractions: (4+24)/3 - 73/79.

Combining the numerators: (28)/3 - 73/79.

To find a common denominator, we can multiply the least common multiple (LCM) of 3 and 79 by both denominators: LCM(3, 79) = 237.

Now we find the multiples of 237 that are multiples of both 3 and 79: 237, 474, 711, 948, 1185, 1422, 1659, 1896, 2133, 2370, 2607, 2844, 3081, 3318, 3555, 3792, 4029, 4266, 4503, 4739, 4975, 5211, 5447, 5683, 5919, 6155, 6391, 6627, 6863, 7100, 7337, 7573, 7809, 8045, 8281, 8517, 8753, 8989, 9225, 9461, 9697, 9933, 10169, 10395, 10621, 10847, 11073, 11300, 11527, 11753, 11979, 12205, 12431, 12657, 12883, 13109, 13335, 13561, 13787, 14013, 14239, 14465, 14691, 14917, 15143, 15369, 15595, 15821, 16047, 16273, 16499, 16725, 16951, 17177, 17393, 17610, 17827, 18043, 18259, 18475, 18691, 18907, 19123, 19339, 19555, 19771, 19987, 20203, 20419, 20635, 20851, 21067, 21283, 21499, 21715, 21931, 22147, 22363, 22579, 22795, 23011, 23227, 23443, 23659, 23875, 24091, 24307, 24523, 24739, 249

Expected answer: 1993/237

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 71 and 75 is 315. We convert each fraction to an equivalent fraction with the LCM as the denominator.

(86 / 71) * (315 / 315) + (91 / 75) * (315 / 315)

(86 * 315) / (71 * 315) + (91 * 315) / (75 * 315)

(27,690) / 2235 + (28,180) / 2475

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

(27,690 + 28,180) / 2235

55,870 / 2235

To find the decimal equivalent, we divide 55,870 by 2235:

55,870 / 2235 = 24.949494949495

### Answer: 24.95 (rounded to the nearest hundredth)

Expected answer: 12911/5325

Correct? No

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

Mistral 7B:

 Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 75 and 43 is 315, and the least common multiple of 75 and 62 is 315. We can convert each fraction to have a denominator of 315.

For (21 / 75): (21 * 4) / (75 * 4) = 84 / 300
For (74 / 43): (74 * 7) / (43 * 7) = 538 / 301
For (10 / 62): (10 * 5) / (62 * 5) = 50 / 310

Now, we can add the fractions: (84 + 538 + 50) / 300 = 672 / 300

To simplify the fraction, we find the greatest common factor of the numerator and the denominator: The greatest common factor of 672 and 300 is 12.

So, the simplified fraction is 672 / 300 simplified to 672 / 12 * (300 / 300) = 56 / 25
### Answer: 56/25

Expected answer: 72056/33325

Correct? No

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

Mistral 7B:

 Reasoning: First, find a common denominator for the fractions, which is 66*61 = 3996.

Convert 75/66 to 75*9/66*61 = 630/66*61.
Convert 81/61 to 81*10/61*66 = 880/66*61.

Now, add the fractions: (630/66*61) + (880/66*61) = (630+880)/66 = 1510/66.

To reduce the fraction to its lowest terms, find the greatest common divisor (GCD) of the numerator and the denominator: GCD(1510, 66) = 2.

So, the fraction is reduced to 1510/66 / 2 = 755/33.
### Answer: 755/33

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.

Mistral 7B:

 Reasoning: First, we need to find the common denominator for the fractions 53/18 and 21/99. The least common multiple of 18 and 99 is 18*6*7 = 792.

Now, we convert both fractions to have this common denominator:

For 53/18, we multiply both the numerator and denominator by 6*7 = 42: 53*42/18*42 = 2206/792

For 21/99, we multiply both the numerator and denominator by 6: 21*6/99*6 = 126/594

Now, we add the two fractions: (2206/792) + (126/594)

To add the fractions, we need a common numerator. We can do this by multiplying the second fraction by 6/6: (2206/792) + (126*6/594*6) = (2206/792) + (756/594)

Now, we can add the numerators and write the sum over the common denominator: (2206+756)/594 = <<(2206+756)/594=2962/594>>2962/594

### Answer: 2962/594

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?

Mistral 7B:

  Reasoning: First, find the least common multiple (LCM) of the denominators 49 and 34, which is 138. Convert each fraction to have the same denominator 138.

For 58/49: (58*3)/(49*3) = 174/147
For 31/34: (31*3)/(34*3) = 93/102

Now, add the fractions: (174+93)/147*102 = 267/147

Next, find the least common multiple (LCM) of the new denominator 147 and the numerator 267, which is 501. Convert the fraction to have the denominator 501.

(267*3)/(147*3) = 791/441

Now, multiply both the numerator and the denominator by 1 (501) to get the fraction with the denominator 501.

791*501/441*501 = 395601/220501

Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 395601/220501 simplifies to 1.

### Answer: 1

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.

Mistral 7B:

  Reasoning: To calculate the sum of two fractions, we need to have the same denominator. We can find the least common multiple (LCM) of the denominators (76 and 14) which is 112. Then, we convert each fraction to have the denominator 112.

For 100/76:
100 * (112/112) / 76 = (100 * 112) / (76 * 112) = 11200 / 8928 = 12/89 (when simplified)

For 29/14:
29 * (89/89) / 14 = (29 * 89) / (14 * 89) = 2563/1266 = 1333/633 (when simplified)

Now, we add the simplified fractions:
(12/89) + (1333/633) = (12 + 1333) / (89 * 633) = 1345/56633

Since the final answer is a very large fraction, it's more common to express it as a decimal:
1345/56633 ≈ 0.2384 (rounded to four decimal places)
### Answer: 0.2384 (or 1345/56633 as a fraction)

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.

Mistral 7B:

 Reasoning: Since Evan and Olivia have read the same amount of the novel, we can set up an equation:

(51/18) = (x/42)

To solve for x, we can cross-multiply:

51 * 42 = 18 * x

2136 = 18x

x = 2136 / 18

x = 120

So, Olivia has read 120/42 = <<120/42=2 1/2>>2 1/2 parts of the novel.
### Answer: 2 1/2

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.

Mistral 7B:

 Reasoning: To find the sum of two fractions, we can first convert both fractions to the same denominator. The least common multiple (LCM) of 13 and 22 is 66.

For 48/13, we multiply both the numerator and denominator by 5 (the smallest number such that 5*13 = 65 > 66): 48*5/13*5 = 240/65.

For 31/22, we multiply both the numerator and denominator by 3 (the smallest number such that 3*22 = 66): 31*3/22*3 = 93/22.

Now we can add the fractions: (240/65) + (93/22) = (240+93)*(1/65)*(1/22) = 333/1430.

### Answer: 333/1430

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.

Mistral 7B:

  To find the value of 24/86 + 76/77, we first need to find a common denominator for both fractions. The least common multiple of 86 and 77 is 611. So, we can rewrite the fractions as follows:

24/86 = (24 * 7/611)
76/77 = (76 * 1/77)

Now, we can add the fractions:

(24 * 7/611) + (76 * 1/77) = (168 * 7 + 76) / 611

Simplify the numerator:

168 * 7 + 76 = 1176 + 76 = 1252

Now, we have the sum of the fractions:

(1252 / 611)

To subtract this from 27/6, we first need to convert 27/6 to a fraction with denominator 611. To do this, we multiply both the numerator and denominator by the same number such that the denominator becomes 611:

27 * (103 / 103) = 2763 / 103

Now, we can subtract the fractions:

(1252 / 611) - (2763 / 103)

To subtract the fractions, we need a common denominator, which is 6110 (the least common multiple of 611 and 103). We can rewrite the fractions as follows:

(1252 * 10 / 6110) - (2763 * 6 / 6110)

Simplify the numerator:

12520 - 16578 = -4058

Now, we have the difference of the fractions:

(-4058 / 6110)

### Answer: -4058/6110

Expected answer: 21415/6622

Correct? No

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

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 39 and 14 is 138. We can then convert each fraction to an equivalent fraction with the LCM as the denominator.

For 73/39:
Equivalent fraction: (73*4)/(39*4) = 292/156

For 49/14:
Equivalent fraction: (49*10)/(14*10) = 490/140

Now, we can add the fractions:
Sum: (292+490)/156

Simplify the fraction:
Sum: 782/156

The fraction 782/156 is already in its simplest form, as it has no common factors other than 1 between the numerator and the denominator.
### Answer: 782/156

Expected answer: 419/78

Correct? No

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

Mistral 7B:

 Reasoning: To simplify the fractions, we find the greatest common divisor (GCD) of the denominators (65 and 39) and adjust both fractions so they have the same denominator. The GCD of 65 and 39 is 13.

Adjusting the first fraction: 75/65 * (39/39) = (75*39)/(65*39) = 2925/2465
Adjusting the second fraction: 7/39 * (65/65) = (7*65)/(39*65) = 455/2465

Now, adding the fractions: 2925/2465 + 455/2465 = (2925+455)/2465 = 3380/2465

To simplify the fraction, we find the greatest common factor (GCF) of the numerator (3380) and denominator (2465). The GCF of 3380 and 2465 is 1.

So, the simplified sum is 3380/2465.
### Answer: 3380/2465

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?

Mistral 7B:

 Reasoning: First, find the common denominator of 79 and 30, which is 238. Then, convert 30 to 238/92 and 79 to 178/92.

Now, subtract the two fractions: (178/92) - (238/92) = (178 - 238)/92 = -60/92.

Next, find the common denominator of 61 and 63, which is 189. Then, convert 61 to 189/3 and 63 to 189/33.

Now, subtract the two fractions: (189/3) - (189/33) = (189 - 189*11/33) = (189*2/33) = 71/33.

Finally, subtract the second result from the first result: (-60/92) - (71/33) = (-60*33/92*33) - (71*92/33*92) = (-1980/3084) + (6392/3084) = (6392 - 1980)/3084 = 4412/3084.

### Answer: 4412/3084

Expected answer: 225191/2898

Correct? No

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

Mistral 7B:

 Reasoning: To find the simplest form, we can factor out the common factor 2 from both terms in the expression.
(58 / 26) + (58 / 26) = 2 * (29 / 13)
### Answer: 2 * (29 / 13) = 58 / 13

Expected answer: 58/13

Correct? Yes

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?

Mistral 7B:

 Reasoning: First, let's find the total amount of orange juice Alex had after buying additional juice:
69/63 + 77/5 = (69*5 + 77*63)/(63*5) = 345/315

Now, let's find the total amount of orange juice Alex had after receiving more from Sally:
345/315 + 47/71 = (345*71 + 47*315)/(71*315) = 2542/22715

### Answer: 2542/22715 utschkeins

Expected answer: 127907/7455

Correct? No

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

Mistral 7B:

 Reasoning: First, we perform the operations inside the parentheses:
(100 / 61) + ((39 / 6) + (67 / 49)) = (100 / 61) + (6 + 134 / 49)

Now, we simplify the fraction 134/49 by finding a common multiple of 6 and 49:
The least common multiple of 6 and 49 is 294.
We can find factors of 294 that are multiples of 6 and 49:
Factors of 6: 1, 2, 3, 6
Factors of 49: 1, 7, 49
Common multiples of 6 and 49: 6, 12, 18, 24, 30, 36, 42, 48, 72, 108, 144, 180, 216, 252, 288, 360, 384, 432, 486, 516, 546, 588, 624, 648, 672, 704, 720, 756, 784, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1020, 1056, 1080, 1104, 1132, 1156, 1180, 1204, 1228, 1252, 1276, 1300, 1324, 1348, 1372, 1396, 1420, 1444, 1468, 1492, 1516, 1540, 1564, 1588, 1612, 1636, 1660, 1684, 1708, 1732, 1756, 1780, 1804, 1828, 1852, 1876, 1900, 1924, 1948, 1972, 2000, 2024, 2048, 2072, 2096, 2120, 2144, 2168, 2192, 2216, 2240, 2264, 2288, 2312, 2336, 2360, 2384, 2408, 2432, 2456, 2480, 2504, 2528, 2552, 2576, 2600, 2624, 2648, 2672, 2696, 2720, 2744, 2768, 2792, 2816, 2840, 2864, 2888, 2912, 2936, 2960, 2984, 3008, 3032, 3056, 3080, 3104, 3128, 3152, 3176, 3200, 3224, 3248, 3272, 3296, 3320, 3344, 3368, 3392, 3416, 3440, 3464, 3488, 3512, 3536, 3560, 

Expected answer: 56831/5978

Correct? No

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

Mistral 7B:

 Reasoning: To simplify the fractions, we find the least common multiple (LCM) of the denominators, which is 1*1 = 1 and 69*1 = 69. Then, we adjust the numerators so that they are both multiples of the LCM.

For 85/1, we multiply the numerator and denominator by 1 to get 85*1/1*1 = 85.
For 83/69, we multiply the numerator and denominator by 69/69 to get 83*69/69*69 = 5733/69.

Now, we can add the simplified fractions: 85 + 5733/69 = 5818/69.
### Answer: 5818/69

Expected answer: 5948/69

Correct? No

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

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 86 is 104. We can convert each fraction to an equivalent fraction with a denominator of 104.

For 92/13, we multiply both the numerator and the denominator by 8 to get 736/104.
For 43/86, we multiply both the numerator and the denominator by 7 to get 301/602.

Now, we can see that 736 and 301 are not multiples of each other, so we need to find the greatest common divisor (GCD) of 736 and 301, which is 1. We can then add the fractions by adding the numerators and keeping the common denominator.

(736 + 301)/104 = 1037/104

However, this fraction is already in its simplest form since the numerator and denominator have no common factors other than 1.
### Answer: The sum of 92/13 and 43/86 as a simplified fraction is 1037/104.

Expected answer: 197/26

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions, we need to have the same denominator. To find a common denominator, we can find the least common multiple (LCM) of the two denominators. The LCM of 32 and 98 is 304.

Now, we can rewrite the fractions with the common denominator 304:

67/32 = (67*9)/(32*9) = 609/288
10/98 = (10*30)/(98*30) = 300/2940

Now, we can add the fractions:

(609/288) + (300/2940) = (609+300)/288*30 = 909/864

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

909/864 = (909/9) * (864/9) = 101 * 93 = <<101*93=9333>>9333/9

### Answer: 9333/9

To express this as a simplified fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

9333/9 = (9333/3) * (3/3) = 3111 * 1 = <<3111>>3111/1

### Answer: 3111/1

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.

Mistral 7B:

 To find the sum of the two fractions, we first need to find a common denominator. The least common multiple (LCM) of 52 and 32 is 160.

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

59/52 = (59*4)/(52*4) = 236/208
70/32 = (70*5)/(32*5) = 350/160

Now, we can add the fractions:

(236/208) + (350/160) = (236+350)/160 = 586/160

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

GCF(586, 160) = 84

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

586/160 = (586/84)*(84/160) = 7*7/10*7/10 = 49/10

### Answer: 49/10

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?

Mistral 7B:

  Reasoning: First, we need to perform the division operations:

1. 48 divided by 5 = <<48/5=9.6>>9.6
2. 11 divided by 65 = <<11/65=0.16984127111111112>>0.16984127111111112
3. Subtract the two results: 9.6 - 0.16984127111111112 = <<9.6-0.16984127111111112=9.4301587288888889>>9.4301587288888889
4. Next, perform the division operation: 28 divided by 2 = <<28/2=14>>14
5. Add the results: 9.4301587288888889 + 14 = <<9.4301587288888889+14=23.4301587288888889>>23.4301587288888889
### Answer: 23.4301587288888889

Expected answer: 1523/65

Correct? No

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

Mistral 7B:

 Reasoning: To add fractions, the denominators must be the same. We can find the least common multiple (LCM) of 52 and 82, which is 416. Then, we convert both fractions to have 416 as the denominator.

For 20/52, we multiply both the numerator and denominator by 8: 20*8/52*8 = 160/416.

For 75/82, we multiply both the numerator and denominator by 5: 75*5/82*5 = 375/410.

Now, we can add the fractions: 160/416 + 375/410. To do this, we find a common denominator, which is 416. We can rewrite 375/410 as 375*4/410*4 = 1500/1640.

Now, we can add the fractions: 160/416 + 1500/1640 = (160+1500)/1640 = 1660/1640.

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator, which is 2. We divide both the numerator and denominator by 2: 1660/1640 ÷ 2 = 830/820.

### Answer: 830/820

Expected answer: 1385/1066

Correct? No

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

Mistral 7B:

 Reasoning: To subtract fractions, we find a common denominator, which in this case is 420 (the least common multiple of 84 and 5).

Multiply the numerator and denominator of the first fraction by 5 and the numerator and denominator of the second fraction by 84 to get the fractions with the common denominator:

92/84 * 5/5 = 460/420
31/5 * 84/84 = 252/420

Now subtract the second fraction from the first:

460/420 - 252/420 = (460 - 252)/420 = 208/420

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 4.

208/420 simplifies to 1/2.
### Answer: 1/2

Expected answer: 536/105

Correct? No

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

Mistral 7B:

 Reasoning: First, let's find the sum of 81/90 and 94/49.
(81/90) + (94/49) = (81*49 + 94*90) / (90*49) = 3834/4360

Now, let's double the result:
2 * (3834/4360) = 7668/4360

### Answer: 7668/4360

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator:
GCD(7668, 4360) = 16

Now, we can divide both the numerator and denominator by the GCD:
(7668/16) / (4360/16) = 479/276

### Answer: 479/276

Expected answer: 1381/245

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the two fractions, which is 21*92 = <<21*92=1902>>1902.

Now, we convert each fraction to have the same denominator:

69/21 becomes (69*92)/1902 = <<(69*92)/1902=658/1902>>658/1902

10/92 becomes (10*21)/1902 = <<(10*21)/1902=210/1902>>210/1902

Now, we subtract the two fractions:

(658/1902) - (210/1902) = <<(658-210)/1902=448/1902>>448/1902

### Answer: 448/1902

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?

Mistral 7B:

  Reasoning: First, find the common denominator for the fractions in the first expression: 87 * 1 = 87 and 88 * 1 = 88. The common denominator is 88.

Convert the fractions to have the common denominator: (26/87) * (88/88) + (92/87) * (88/88) = (2208/7064) + (8064/7064).

Now, add the fractions: (2208 + 8064) / 7064 = 10272 / 7064.

Next, add the result to (26/57): (10272/7064) + (26/57) = (10272 + 26 * 1320) / (7064 * 1320) = 135872 / 945888.

Simplify the fraction: 135872 / 945888 = 113/784.
### Answer: 113/784

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.

Mistral 7B:

 To add the fractions, we need to find a common denominator. The least common multiple of 66, 6, and 34 is 294.

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

1) (78/66) * (34/34) = 78 * (34/66 * 34) = 2668/66

2) (28/6) * (66/66) = 28 * (66/6 * 1) = 1768/6

3) (90/34) * (66/66) = 90 * (34/34 * 66) = 5940/66

Now, we add the fractions:

2668/66 + 1768/6 + 5940/66 = (2668+1768+5940)/66 = 10376/66

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

The greatest common factor of 10376 and 66 is 2.

So, the simplified fraction is 10376/66 / (2*2) = 5188/33.
### Answer: 5188/33

Expected answer: 4766/561

Correct? No

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

Mistral 7B:

 Reasoning: To find the least common multiple (LCM) of the denominators 7 and 23, we list the multiples of each number and find the smallest number that is a multiple of both:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 699, 706, 713, 720, 727, 734, 741, 748, 755, 762, 769, 776, 783, 790, 797, 804, 811, 818, 825, 832, 839, 846, 853, 860, 867, 874, 881, 888, 895, 902, 909, 916, 923, 930, 937, 944, 951, 958, 965, 972, 979, 986, 993, 1000, 1007, 1014, 1021, 1028, 1035, 1042, 1049, 1056, 1063, 1070, 1077, 1084, 1091, 1098, 1105, 1112, 1119, 1126, 1133, 1140, 1147, 1154, 1161, 1168, 1175, 1182, 1189, 1196, 1203, 1210, 1217, 1224, 1231, 1238, 1245, 1252, 1259, 1266, 1273, 1280, 1287,

Expected answer: 213/161

Correct? No

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

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 18 and 61 is 546.

So, we find the multiples of 18 that are less than 546: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612.

The smallest multiple of 18 that is also a multiple of 61 is 567.

Now, we find the multiples of 61 that are less than 567: 61, 122, 183, 244, 305, 366, 427, 488, 549.

The smallest multiple of 61 that is also a multiple of 18 is 108.

So, we find the multiples of 108 that are less than 546: 108, 216, 324, 432, 540.

The smallest multiple of 108 that is also a multiple of both 18 and 61 is 36.

Now, we find the multiples of 18 that are multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 486, 504, 522, 540, 558, 576, 594, 612.

The smallest multiple of 18 that is also a multiple of both 36 and 61 is 180.

Now, we find the multiples of 61 that are multiples of 36: 61, 122, 183, 244, 305, 366, 427, 488, 549.

The smallest multiple of 61 that is also a multiple of both 36 and 180 is 108.

Now, we find the multiples of 180 that are multiples of 108: 108, 216, 324, 432, 540.

The smallest multiple of 180 that is also a multiple of both 108 and 61 is 360.

Now, we find the multiples of 61 that are multiples of 360: 61, 122, 183, 244, 305, 366, 427, 488, 549.

The smallest multiple of 61 that is also a multiple of both 360 and 180 is 540.

Now, we find the multiples of 180 that are multiples of 540: 540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, 7020, 7560, 8100, 8640, 9180, 9720, 10260, 10800, 11340, 11880, 12

Expected answer: 6713/1098

Correct? No

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

Mistral 7B:

 Reasoning: To subtract fractions, we first find a common denominator for both fractions. The least common multiple of 46 and 84 is 168.

Now, we convert each fraction to an equivalent fraction with the common denominator 168.

For 93/46:
93 * (84/84) / 46 = (744/363) * (168/168) / (46/46) = 744/46

For 51/84:
51 * (46/46) / 84 = (51*46)/(84*46) = 2292/3848

Now, we can subtract the fractions:
(744/46) - (2292/3848) = (744 - 2292) / 3848 = -1548/3848

To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 2.

So, the simplified fraction is -1548/3848 divided by 2, which gives us:

-774/1924
### Answer: -774/1924

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.

Mistral 7B:

 Reasoning: To find the least common multiple (LCM) of the denominators 70 and 9, we list multiples of 70 and 9, and find the smallest number that appears in both lists. The LCM of 70 and 9 is 210.

Now, we convert each fraction to an equivalent fraction with the LCM as the denominator:

12/70 = (12*3)/(70*3) = 36/210
84/9 = (84*23)/(9*23) = 168/231

Now, we add the fractions:

(36/210) + (168/231) = (36+168)/(210*231) = 204/4735

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and denominator:
GCF(204, 4735) = 3

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

(204/3) / (4735/3) = 204/4735 simplified to 204/4735
### Answer: 204/4735

Expected answer: 998/105

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator of 92 and 3, which is 312. Then we rewrite the fractions with the common denominator:
40/92 = 40*3/312 and 32/3 = 32*12/312

Now we can subtract the fractions:
(40*3 - 32*12)/312 = (120 - 384)/312 = -264/312

Finally, we double the result:
-264/312 * 2 = -528/312
### Answer: -528/312

Expected answer: 1412/69

Correct? No

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

Mistral 7B:

 The given fractions have the same numerator and denominator, so they are equal.
### Answer: 79/24

Expected answer: 79/12

Correct? No

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

Mistral 7B:

  Reasoning: To simplify the fractions, we find the greatest common divisor (GCD) of the numerators and the denominators, and then adjust the fractions accordingly.

The GCD of 91 and 76 is 7, so we adjust the fractions as follows:
91/76 becomes (91/76)*(7/7) = 91/56
12/22 becomes (12/22)*(2/2) = 12/44

Now, we can add the simplified fractions:
(91/56) + (12/44) = (91+12)/(56*44) = 103/2362

To simplify further, we find the GCD of 103 and 2362:
The GCD of 103 and 2362 is 1.

So, the sum of the fractions is 103/2362.
### Answer: 103/2362

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?

Mistral 7B:

  Reasoning: First, find a common denominator for 88, 93, 6, and 47. The least common multiple of 93 and 47 is 381. So, we can rewrite the fractions as follows:
88/93 = 8*8/93*11 = 792/381
6/47 = 6*1/47*9 = 54/47
Now, add the fractions:
(792/381) + (54/47) = (792+54)*1/(381*47) = 846/17437
Next, add the result to 92/4:
(846/17437) + (92/4) = (846*4 + 92*17437)/(17437*4) = 3384/69744
### Answer: 3384/69744

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.

Mistral 7B:

 Reasoning: To add fractions, we need to have the same denominator. First, we find the least common multiple (LCM) of the denominators 83 and 21*67 = 1367. The LCM of 83 and 1367 is 1367.

Now, we convert each fraction to have the denominator 1367:
95/83 * (1367/1367) = (1153/1367)
52/21 * (633/633) = (3166/633)
75/67 * (2000/2000) = (15000/2000) = 75/1

Now, we add the fractions:
(1153/1367) + (3166/633) + (75/1)

To add the fractions with different denominators, we find the least common multiple of the denominators 1367, 633, and 1. The LCM of 1367, 633, and 1 is 1367.

Now, we convert the fraction 75/1 to have the denominator 1367:
75/1 * (1367/1367) = (102475/1367)

Now, we add the fractions:
(1153/1367) + (3166/633) + (102475/1367)

To add the fractions, we add the numerators and keep the common denominator:
(1153+3166+102475)/1367

Now, we simplify the fraction:
(1153+3166+102475)/1367 = 116794/1367

Now, we simplify the fraction by finding the greatest common factor (GCF) of the numerator and the denominator:
GCF(116794, 1367) = 13

Now, we divide both the numerator and the denominator by the GCF:
(116794/13) / (1367/13) = 9061/105

### Answer: 9061/105

Expected answer: 553562/116781

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the least common multiple (LCM) of the denominators 27 and 48, which is 108. Then, we convert both fractions to have the same denominator by multiplying the numerator and denominator of the first fraction by 2 and the numerator and denominator of the second fraction by 3.

((73 / 27) - (23 / 48)) = ((146 / 108) - (69 / 108))

Now, we subtract the fractions:

(146 - 69) / 108 = 77 / 108

Since 77 and 108 have no common factors other than 1, the fraction is already in its simplest form.

### Answer: 77/108

Expected answer: 961/432

Correct? No

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

Mistral 7B:

 Reasoning: To solve the expression, we first need to find a common denominator for the fractions. The least common multiple of 2 and 23 is 23. So, we multiply the fraction 70/23 by 1 in the form of 35/35 (since 35*2 = 70 and 35*1 = 35). This gives us (78/2) - (70/23) = (78*1)/2 - (70*35/23*1) = (78 - 2450/23)/2.

To simplify the fraction 2450/23, we can divide both the numerator and the denominator by their greatest common divisor, which is 3. This gives us 816/7.

So, the expression becomes (78 - 816/7)/2 = (78 - 816)/(2*7) = -734/14.

Since the fraction -734/14 cannot be simplified further, the answer is:
### Answer: -734/14.

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.

Mistral 7B:

 Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 1 and 4 is 4, so we can leave the denominator of the first fraction as it is, and for the second fraction, we need to multiply the denominator by the number that makes 4 a factor, which is 1. So, we have 34/1 + 53/4 = 34 + (53*1)/4 = 34 + 13.25 = 47.25.

Since the result is greater than 1, it cannot be expressed as a fraction, so we convert it to a mixed number. To do this, we find the whole number part by rounding down to the nearest whole number, which is 47, and the fraction part is the decimal part after the decimal point, which is 0.25.

### Answer: 47 1/4

Expected answer: 189/4

Correct? Yes

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

Mistral 7B:

 Reasoning: To simplify the fractions, we find the greatest common divisor (GCD) of the numerators and the denominators, and adjust the fractions so that the GCD is the common denominator.

The GCD of 3 and 96 is 3, and the GCD of 36 and 96 is 36.

Adjusting the fractions:
3/36 becomes (3/3) * (1/12) = 1/12
97/96 becomes (97/3) * (1/32) = 323/32

Now, we add the fractions:
(1/12) + (323/32) = (1 + 323) / 32 = <<(1+323)/32=324/32>>324/32
### Answer: 324/32

Expected answer: 35/32

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 95 and 74, which is 660. Then, we convert each fraction to have the same denominator.

(92/95) * (660/660) + (4/74) * (660/660)

(92*660)/(95*660) + (4*660)/(74*660)

(60960)/59400 + (2640)/59400

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

(60960+2640)/59400

(63600)/59400

### Answer: 63600/59400

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.

Mistral 7B:

 Reasoning: First, we find the value of 'v': v = 69/47
Then, we substitute the value of 'v' into the equation: d = (88/72) + (69/47)
To find the common denominator, we find the least common multiple of 72 and 47. The least common multiple of 72 and 47 is 288.
We convert both fractions to have the common denominator:
(88/72) * (4/4) + (69/47) * (6/6) = (352/288) + (414/288)
Now, we add the fractions: (352+414)/288 = 766/288
### Answer: 766/288

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.

Mistral 7B:

 Reasoning: The wholesaler sold 41/72 of the oil, so they have 41/26 - 41/72 = <<(41/26 - 41/72 = 1/18>>1/18 of the oil left in their warehouse.
### Answer: 1/18

Expected answer: 943/936

Correct? No

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

Mistral 7B:

 Reasoning: To find the sum of the two fractions, we need to find a common denominator, which is the least common multiple of 75 and 56. The least common multiple of 75 and 56 is 360.

Now, we can convert each fraction to an equivalent fraction with a denominator of 360:

85/75 = (85*4)/(75*4) = 340/300
88/56 = (88*6)/(56*6) = 528/336

Now, we can add the two fractions:

340/300 + 528/336 = (340+528)*(1/300 + 1/336) = 868/660

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

868/660 = 1.3181818181818

### Answer: 1.3181818181818 (rounded to 8 decimal places)

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.

Mistral 7B:

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

Let's convert 12/33 to a fraction with a denominator of 66:
(12/33) * (2/2) = (24/66)

Now, we can add the fractions:
(49/2) + (24/66) = (98/66)

To convert the fraction to a mixed number, we divide the numerator by the denominator:
98 ÷ 66 = 1 remainder 34

So, the result is 1 34/66.
### Answer: 1 34/66

Expected answer: 547/22

Correct? No

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

Mistral 7B:

  Reasoning: To add fractions with different denominators, we first find a common multiple of the denominators. The least common multiple (LCM) of 65 and 65 is 65. We can rewrite each fraction as a multiple of the LCM:

78/65 = (78*1)/(65*1) = 78/65

Since both fractions have the same denominator, we can simply add the numerators and keep the denominator the same:

(78/65) + (78/65) = 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.

Mistral 7B:

 To add fractions, we need to have the same denominator. The least common multiple of 7 and 90 is 63. So, we multiply both the numerator and denominator of 16/7 by 9 to get 144/63.

Now, we multiply both the numerator and denominator of 11/90 by 10 to get 110/900.

Since 144 and 110 are not equal, the sum of the fractions cannot be expressed as a single simplified fraction.

### Answer: The sum cannot be expressed as a single simplified fraction.

Expected answer: 1517/630

Correct? No