Problem: If the sum from the previous problem is then added to 73/89, what is the final result?

Mixtral 8x22B:

 Reasoning: 73/89 = <<73/89=0.8191011235955056>>0.8191011235955056
18.84 + 0.8191011235955056 = <<18.84+0.8191011235955056=19.659101123595506>>19.659101123595506
### Answer: 19.659101123595506

Expected answer: 43744/2225

Correct? No

Problem: If instead of adding 94/5 you had added 94/89 to 1/25 in the previous problem, what would have been the result?

Mixtral 8x22B:

 Reasoning: 94/89 = <<94/89=1.0561797752808989>>1.0561797752808989
1/25 = <<1/25=0.04>>0.04
1.0561797752808989 + 0.04 = <<1.0561797752808989+0.04=1.1061797752808989>>1.1061797752808989
### Answer: 1.1061797752808989

Expected answer: 2439/2225

Correct? No

Problem: After finding the value of ((45 / 5) - (6 / 47)), what would be the result if you add this value to itself?

Mixtral 8x22B:

 Reasoning: The value of the expression ((45 / 5) - (6 / 47)) is 8.872340425531915 (rounded to 15 decimal places).
Adding this value to itself: 8.872340425531915 + 8.872340425531915 = <<8.872340425531915+8.872340425531915=17.74468085106383>>17.74468085106383 (rounded to 15 decimal places).
### Answer: 17.74468085106383

Expected answer: 834/47

Correct? No

Problem: After reconsideration, suppose there were actually 63 oranges instead of 45. Now calculate the value of the expression ((63 / 5) - (6 / 47)).

Mixtral 8x22B:

 Reasoning: First, we calculate the division operations: 63 / 5 = <<63/5=12.6>>12.6 and 6 / 47 = <<6/47=0.1276595744680851>>0.1276595744680851 (rounded to 15 decimal places).
Next, we subtract the second result from the first: 12.6 - 0.1276595744680851 = <<12.6-0.1276595744680851=12.472340425531915>>12.472340425531915 (rounded to 15 decimal places).
### Answer: 12.472340425531915

Expected answer: 2931/235

Correct? No

Problem: After getting the sum of 49/79 and 18/21 from the previous problem, let's denote this sum as n. Calculate the result of adding 71/97 to n.

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that n = 817/553.

To add 71/97 to n, we need a common denominator. The least common multiple of 553 and 97 is 53641.

817/553 = (817 \* 97)/(553 \* 97) = 79279/53641

71/97 = (71 \* 553)/(97 \* 553) = 39283/53641

Now we can add the fractions:

79279/53641 + 39283/53641 = (79279 + 39283)/53641 = 118562/53641

The fraction 118562/53641 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.

118562/53641 = 118562/53641

### Answer: 118562/53641

Expected answer: 118512/53641

Correct? No

Problem: In the previous problem, we found the sum of 49/79 and 18/21. Now, let's alter the scenario a bit. Instead of having 49/79 part, let's say we have 49/3 part. Keeping the 18/21 part the same, what would be the new total? Calculate the sum of 49/3 and 18/21.

Mixtral 8x22B:

 Reasoning: To add the fractions, we need a common denominator. The least common multiple of 3 and 21 is 21.

49/3 = (49 \* 7)/(3 \* 7) = 343/21

18/21 = (18 \* 1)/(21 \* 1) = 18/21

Now we can add the fractions:

343/21 + 18/21 = (343 + 18)/21 = 361/21

The fraction 361/21 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.

361/21 = (361/1)/(21/1) = 361/21

### Answer: 361/21

Expected answer: 361/21

Correct? Yes

Problem: What would be the addition of the results if we add 95/46 and 65/31 together twice?

Mixtral 8x22B:

 Reasoning: If we add 95/46 and 65/31 together twice, we would first find the sum of the two fractions, and then add that sum to itself.

From the previous question, we know that the sum of 95/46 and 65/31 is 5935/1426.

Adding that sum to itself would give us:

5935/1426 + 5935/1426 = (5935 + 5935)/1426 = 11870/1426

### Answer: 11870/1426

Expected answer: 5935/713

Correct? Yes

Problem: In the previous question, we added 95/46 and 65/31. But what if we used 31/46 instead of 95/46? What's the result when we add 31/46 and 65/31?

Mixtral 8x22B:

 Reasoning: To find the sum of 31/46 and 65/31, we need to find a common denominator. The least common multiple of 46 and 31 is 1426.

31/46 = (31 \* 31)/(46 \* 31) = 961/1426
65/31 = (65 \* 46)/(31 \* 46) = 2990/1426

Now we can add the two fractions:

961/1426 + 2990/1426 = (961 + 2990)/1426 = 3951/1426

### Answer: 3951/1426

Expected answer: 3951/1426

Correct? Yes

Problem: If you subtract 9 over 47 from the result obtained from summing 25 over 63 and 74 over 6, what new value do you get?

Mixtral 8x22B:

 Reasoning: From the previous question, we know that the sum of 25/63 and 74/6 is 802/63.

Now, we need to subtract 9/47 from 802/63. To do this, we need to find a common denominator. The least common multiple of 63 and 47 is 2961.

So, we convert 802/63 to 802*47/2961 = <<802*47=37734>>37734/2961 and 9/47 to 9*63/2961 = <<9*63=567>>567/2961.

Now, we can subtract the two fractions: 37734/2961 - 567/2961 = <<37734-567=37167>>37167/2961.

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

So, 37167/2961 = <<37167/3=12389>>12389/<<2961/3=987>>987.

### Answer: 12389/987

Expected answer: 37127/2961

Correct? No

Problem: What would be the new sum if we change the previous problem of adding 25 over 63 and 74 over 6 to now adding 25 over 63 and 6 over 6 instead?

Mixtral 8x22B:

 Reasoning: To find the new sum of 25/63 and 6/6, we need to find a common denominator. The least common multiple of 63 and 6 is 126.

So, we convert 25/63 to 25*2/126 = <<25*2=50>>50/126 and 6/6 to 6*21/126 = <<6*21=126>>126/126.

Now, we can add the two fractions: 50/126 + 126/126 = <<50+126=176>>176/126.

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

So, 176/126 = <<176/2=88>>88/<<126/2=63>>63.

### Answer: 88/63

Expected answer: 88/63

Correct? Yes

Problem: After finding the sum of 79/91 and 100/47, what is the result if you add this sum to itself?

Mixtral 8x22B:

 Reasoning: The sum of 79/91 and 100/47 is 12813/4277.

If we add this sum to itself, we get:

12813/4277 + 12813/4277 = (12813 + 12813)/4277 = 25626/4277

### Answer: 25626/4277

Expected answer: 25626/4277

Correct? Yes

Problem: After finding the result from ((55 / 47) + (72 / 21)), what would you get if you add that result to (52 / 28)?

Mixtral 8x22B:

 Reasoning: First, we need to calculate the result of (52 / 28).
52 / 28 = <<52/28=1.8571428571428572>>1.8571428571428572 (rounded to 10 decimal places)
Now, we can add this result to the previous result:
4.598784194528875 + 1.8571428571428572 = <<4.598784194528875+1.8571428571428572=6.455927051671732>>6.455927051671732 (rounded to 10 decimal places)
### Answer: 6.455927051671732

Expected answer: 2124/329

Correct? No

Problem: After finding the result from ((55 / 47) + (72 / 21)), what would the new result be if we changed the second fraction from (72 / 21) to (34 / 21) instead?

Mixtral 8x22B:

 Reasoning: We already calculated the first fraction, which is 1.1702127659574468.
Now, we need to calculate the new second fraction:
34 / 21 = <<34/21=1.619047619047619>>1.619047619047619 (rounded to 10 decimal places)
Now, we can add the two results together:
1.1702127659574468 + 1.619047619047619 = <<1.1702127659574468+1.619047619047619=2.7892603850050666>>2.7892603850050666 (rounded to 10 decimal places)
### Answer: 2.7892603850050666

Expected answer: 2753/987

Correct? No

Problem: What is the result when you subtract 57/52 from the sum of 86/62 and 99/41?

Mixtral 8x22B:

 Reasoning: From the previous question, we know that the sum of 86/62 and 99/41 is 9664/2542.

Now we need to subtract 57/52 from this sum. To do this, we need to find a common denominator for 2542 and 52. The least common multiple of 2542 and 52 is 131624.

57/52 = (57 \* 2542)/(52 \* 2542) = 145134/131624

Now we can subtract this fraction from the sum:

9664/2542 - 145134/131624 = (9664 \* 52)/(2542 \* 52) - (145134 \* 62)/(131624 \* 62) = 499968/131624 - 8998248/131624 = (499968 - 8998248)/131624 = -8498280/131624

### Answer: -8498280/131624

Expected answer: 178817/66092

Correct? No

Problem: What would be the sum if the fraction was changed from 86/62 to 88/62? In other words, what is 88/62 + 99/41?

Mixtral 8x22B:

 Reasoning: To find the sum of 88/62 and 99/41, we need to find a common denominator. The least common multiple of 62 and 41 is 2542.

88/62 = (88 \* 41)/(62 \* 41) = 3608/2542

99/41 = (99 \* 62)/(41 \* 62) = 6138/2542

Now we can add the two fractions:

3608/2542 + 6138/2542 = (3608 + 6138)/2542 = 9746/2542

### Answer: 9746/2542

Expected answer: 4873/1271

Correct? Yes

Problem: After you calculated the sum of 87/88 and 24/13, find the result when you add this sum to 36/9.

Mixtral 8x22B:

 Reasoning: To add the sum of 87/88 and 24/13 to 36/9, we first need to find a common denominator for all three fractions. The least common multiple of 1144, 9, and 88 is 1144.

36/9 = (36 \* 127)/(9 \* 127) = 4560/1144

3243/1144 + 4560/1144 = (3243 + 4560)/1144 = 7803/1144

### Answer: 7803/1144

Expected answer: 7819/1144

Correct? No

Problem: After you calculated the sum of 87/88 and 24/13 and added 36/9 to this sum, reconsider the problem. This time, let's say we started with 87/83 instead of 87/88. What would be the sum of 87/83 and 24/13?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need a common denominator. The least common multiple of 83 and 13 is 1079.

87/83 = (87 \* 13)/(83 \* 13) = 1131/1079

24/13 = (24 \* 83)/(13 \* 83) = 2016/1079

1131/1079 + 2016/1079 = (1131 + 2016)/1079 = 3147/1079

### Answer: 3147/1079

Expected answer: 3123/1079

Correct? No

Problem: After finding the summation of 35/97 and 11/9, what would be the result if you add 11/25 to that sum? Express the result as a simplified fraction.

Mixtral 8x22B:

 Reasoning: We already found that the sum of 35/97 and 11/9 is 1382/873.

Now we need to add 11/25 to that sum.

First, we need to find a common denominator for 873 and 25. The least common multiple of 873 and 25 is 21825.

1382/873 = (1382 \* 25)/(873 \* 25) = 34550/21825

11/25 = (11 \* 873)/(25 \* 873) = 9603/21825

Now we can add the two fractions:

34550/21825 + 9603/21825 = (34550 + 9603)/21825 = 44153/21825

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

44153/21825 is already in its simplest form.

### Answer: 44153/21825

Expected answer: 44153/21825

Correct? Yes

Problem: Suppose instead of adding 35/97 and 11/9, we change the problem slightly to adding 35/97 and 11/15. What would be the result of the sum? Express it in simplest form.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 97 and 15 is 1455.

35/97 = (35 \* 15)/(97 \* 15) = 525/1455

11/15 = (11 \* 97)/(15 \* 97) = 1067/1455

Now we can add the two fractions:

525/1455 + 1067/1455 = (525 + 1067)/1455 = 1592/1455

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

1592/1455 is already in its simplest form.

### Answer: 1592/1455

Expected answer: 1592/1455

Correct? Yes

Problem: What is the result when you add 62/46 to your previous answer from subtracting 79/70 from 11/5?

Mixtral 8x22B:

 Reasoning: The previous answer was 15/14.

To add 62/46 to 15/14, we first need to find a common denominator. The least common multiple of 14 and 46 is 230.

So, we convert 15/14 to 165/230 (since 15*15 = 225 and 14*15 = 210, and 225+5 = 230) and 62/46 to 299/230 (since 62*4 = 248 and 46*4 = 184, and 248+42 = 290, and 290+9 = 299).

Now, we can add 165/230 to 299/230:

165/230 + 299/230 = (165+299)/230 = <<165+299=464>>464/230

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

464/230 ÷ 2/2 = 232/115

### Answer: 232/115

Expected answer: 779/322

Correct? No

Problem: Previously, we solved for the difference when you subtracted 79/70 from 11/5. Now, consider what happens if you originally started with 61/5 instead of 11/5. What would be the result when you subtract 79/70 from this new value?

Mixtral 8x22B:

 Reasoning: To subtract 79/70 from 61/5, we first need to find a common denominator. The least common multiple of 70 and 5 is 70.

So, we convert 61/5 to 854/70 (since 61*14 = 854 and 5*14 = 70).

Now, we can subtract 79/70 from 854/70:

854/70 - 79/70 = (854-79)/70 = <<854-79=775>>775/70

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

775/70 ÷ 5/5 = 155/14

### Answer: 155/14

Expected answer: 155/14

Correct? Yes

Problem: Following the original problem of finding the sum of 68/16 and 52/78, now add 37/38 to that result. What is the new sum?

Mixtral 8x22B:

 Reasoning: We already found that the sum of 68/16 and 52/78 is 383.5/78.

Now we need to add 37/38 to that result. To do this, we first need to find a common denominator for 78 and 38. The least common multiple of 78 and 38 is 1482.

383.5/78 = (383.5*19)/(78*19) = 7284.5/1482
37/38 = (37*39)/(38*39) = 1443/1482

Now we can add the two fractions:

7284.5/1482 + 1443/1482 = (7284.5+1443)/1482 = 8727.5/1482

Therefore, the new sum is 8727.5/1482.

### Answer: 8727.5/1482

Expected answer: 1343/228

Correct? No

Problem: In the original problem, we added 68/16 and 52/78. Now, consider what happens if we start with 8/16 instead of 68/16. What is the sum of 8/16 and 52/78?

Mixtral 8x22B:

 Reasoning: To find the sum of 8/16 and 52/78, we first need to find a common denominator. The least common multiple of 16 and 78 is 1248.

8/16 = (8*78)/(16*78) = 624/1248
52/78 = (52*16)/(78*16) = 832/1248

Now we can add the two fractions:

624/1248 + 832/1248 = (624+832)/1248 = 1456/1248

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

1456/1248 = (1456/16)/(1248/16) = 91/78

Therefore, the sum of 8/16 and 52/78 is 91/78.

### Answer: 91/78

Expected answer: 7/6

Correct? Yes

Problem: After finding the result of (77/5 + 4/11), add that result to 94/60. What is the final answer?

Mixtral 8x22B:

 Reasoning: From the previous question, we know that (77/5 + 4/11) = 867/55.

Now, we need to add that result to 94/60. To do this, we need to find a common denominator for the two fractions. The least common multiple of 55 and 60 is 330.

(867/55) = (867 * 6) / (55 * 6) = 5202/330
(94/60) = (94 * 5.5) / (60 * 5.5) = 517/330

Now, we can add the two fractions:

5202/330 + 517/330 = (5202 + 517) / 330 = 5719/330

### Answer: 5719/330

Expected answer: 5719/330

Correct? Yes

Problem: Instead of the original problem (77/5 + 4/11), consider a change such that now we are adding 77/5 and 4/79 instead. In the context of the previous word problem, if we were originally adding parts of a recipe, we could consider the change as modifying one part of the recipe. What happens if we modify the recipe in this way, by replacing the quantity we originally added with 4/79?

Mixtral 8x22B:

 Reasoning: The common denominator for the fractions 77/5 and 4/79 is 395.

(77/5) = (77 * 79) / (5 * 79) = 6103/395
(4/79) = (4 * 5) / (79 * 5) = 20/395

Now, we can add the two fractions:

6103/395 + 20/395 = (6103 + 20) / 395 = 6123/395

### Answer: 6123/395

Expected answer: 6103/395

Correct? No

Problem: After finding the sum of 60/48 and 37/47, what would you get if you then added 35/35 to your result?

Mixtral 8x22B:

 Reasoning: The sum of 60/48 and 37/47 is 1149/564.

Adding 35/35 to this result, we get:

1149/564 + 35/35 = (1149*35)/(564*35) + (35*564)/(35*564) = (40215+19740)/(19740) = 59955/19740

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 15.

59955/19740 = (59955/15)/(19740/15) = 3997/1316

### Answer: 3997/1316

Expected answer: 571/188

Correct? Yes

Problem: After reconsidering her grocery list, Jane decided to buy 60/45 kilograms of apples instead of 60/48. If she still buys 37/47 kilograms of oranges, what would be the total weight of the apples and oranges she buys?

Mixtral 8x22B:

 Reasoning: Jane decided to buy 60/45 = <<60/45=4/3>>4/3 kilograms of apples instead of 60/48 = <<60/48=5/4>>5/4 kilograms.

The total weight of the apples and oranges she buys is:

4/3 + 37/47 = (4*47)/(3*47) + (37*3)/(47*3) = 188/141 + 111/141 = (188+111)/141 = 299/141

### Answer: 299/141

Expected answer: 299/141

Correct? Yes

Problem: In addition to the calculation you did in the last question, let's add another operation. Solve ((14 / 24) + ((14 / 72) + (25 / 6))).

Mixtral 8x22B:

 Reasoning: First, simplify the fractions.
(14 / 24) can be simplified to (7 / 12) by dividing both the numerator and the denominator by 2.
(14 / 72) can be simplified to (7 / 36) by dividing both the numerator and the denominator by 2.
(25 / 6) is already in its simplest form.
Now, add the two fractions inside the parentheses.
(7 / 36) + (25 / 6) = (7 / 36) + (150 / 36) = (157 / 36)
Now, add the result to (7 / 12).
(7 / 12) + (157 / 36) = (21 / 36) + (157 / 36) = (178 / 36)
### Answer: (178 / 36)

Expected answer: 89/18

Correct? Yes

Problem: In the previous problem, we calculated the sum ((14 / 72) + (25 / 6)). But what if we made a mistake and it wasn't 25/6 of something added, but it was actually 90/6? Given this new information, what would be the new value of ((14 / 72) + (90 / 6))?

Mixtral 8x22B:

 Reasoning: First, simplify the fractions.
(14 / 72) can be simplified to (7 / 36) by dividing both the numerator and the denominator by 2.
(90 / 6) can be simplified to (15) by dividing both the numerator and the denominator by 6.
Now, add the two fractions.
(7 / 36) + (15) = (7 / 36) + (540 / 36) = (547 / 36)
### Answer: (547 / 36)

Expected answer: 547/36

Correct? Yes

Problem: After finding the sum of 84/97 and 25/2, subtract 100/71 from your result. What is the new result?

Mixtral 8x22B:

 Reasoning: To subtract 100/71 from 2593/194, we first need to find a common denominator. The least common multiple of 194 and 71 is 1378.

2593/194 = (2593*7)/(194*7) = 18151/1378
100/71 = (100*19)/(71*19) = 1900/1378

Now we can subtract the two fractions:

18151/1378 - 1900/1378 = (18151-1900)/1378 = 16251/1378

### Answer: 16251/1378

Expected answer: 164703/13774

Correct? No

Problem: After previously finding the sum of 84/97 and 25/2, now consider a new scenario. What if, instead of having 84 parts out of 97, we had 84 parts out of 96? What then would be the sum of these fractions: 84/96 and 25/2?

Mixtral 8x22B:

 Reasoning: To find the sum of 84/96 and 25/2, we first need to find a common denominator. The least common multiple of 96 and 2 is 96.

84/96 = (84*1)/(96*1) = 84/96
25/2 = (25*48)/(2*48) = 1200/96

Now we can add the two fractions:

84/96 + 1200/96 = (84+1200)/96 = 1284/96

### Answer: 1284/96

Expected answer: 107/8

Correct? Yes

Problem: After finding the difference between the fractions 66/20 and 4/78, what would the result be if you add 6/15 to your answer?

Mixtral 8x22B:

 Reasoning: The difference between the fractions 66/20 and 4/78 is 1267/390.

To add 6/15 to this result, we first need to find a common denominator for 390 and 15. The least common multiple of 390 and 15 is 1170.

So, we convert the fractions to have the same denominator:

1267/390 = (1267 \* 3)/(390 \* 3) = 3801/1170

6/15 = (6 \* 78)/(15 \* 78) = 468/1170

Now, we can add the two fractions:

3801/1170 + 468/1170 = (3801 + 468)/1170 = 4269/1170

### Answer: 4269/1170

Expected answer: 1423/390

Correct? Yes

Problem: Suppose that instead of having 66/20 in the original problem, we have 66/21. What would be the difference between the fractions 66/21 and 4/78?

Mixtral 8x22B:

 Reasoning: To find the difference between the fractions 66/21 and 4/78, we first need to find a common denominator. The least common multiple of 21 and 78 is 133.

So, we convert the fractions to have the same denominator:

66/21 = (66 \* 6.33)/(21 \* 6.33) = 417.8/133

4/78 = (4 \* 1.7)/(78 \* 1.7) = 6.8/133

Now, we can find the difference between the two fractions:

417.8/133 - 6.8/133 = (417.8 - 6.8)/133 = 411/133

### Answer: 411/133

Expected answer: 844/273

Correct? No

Problem: After finding the value of 83 divided by 37 minus 12 divided by 14, add to your result the quantity 32 divided by 65. What sum do you get?

Mixtral 8x22B:

 Reasoning: 32 divided by 65 equals <<32/65=0.4923076923076923>>0.4923076923076923.
1.386100386100386 plus 0.4923076923076923 equals <<1.386100386100386+0.4923076923076923=1.8784080784080785>>1.8784080784080785.
### Answer: 1.8784080784080785

Expected answer: 31623/16835

Correct? No

Problem: Suppose instead of dividing 83 by 37 as in the previous problem, you divided 83 by 38 and then subtracted 12 divided by 14. What would be the result in that case?

Mixtral 8x22B:

 Reasoning: 83 divided by 38 equals <<83/38=2.1842105263157895>>2.1842105263157895.
12 divided by 14 equals <<12/14=0.8571428571428571>>0.8571428571428571.
2.1842105263157895 minus 0.8571428571428571 equals <<2.1842105263157895-0.8571428571428571=1.3270676691729324>>1.3270676691729324.
### Answer: 1.3270676691729324

Expected answer: 353/266

Correct? No

Problem: If we add the previously calculated result to 39/64, what fraction do we get?

Mixtral 8x22B:

 Reasoning: First, we need to convert the previously calculated result to a fraction.
2.6 = <<2.6*64/64=166/64>>166/64
Now, we can add the fractions:
166/64 + 39/64 = <<(166+39)/64=205/64>>205/64
### Answer: 205/64

Expected answer: 1027/320

Correct? No

Problem: Let's change the previous problem a bit. Instead of adding 6/5, what if we added 6/79 to 77/55? What fraction would we get then?

Mixtral 8x22B:

 Reasoning: First, we need to simplify the fractions.
77/55 = <<77/55=1.4>>1.4
6/79 = <<6/79=0.07594936708860759>>0.07594936708860759 (rounded to 15 decimal places)
Now, we can add the results:
1.4 + 0.07594936708860759 = <<1.4+0.07594936708860759=1.4759493670886076>>1.4759493670886076
To express this as a fraction, we can use the decimal to fraction converter:
1.4759493670886076 = <<1.4759493670886076=14759493670886076/10000000000000000>>14759493670886076/10000000000000000
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). However, since the denominator is a power of 10, the fraction is already in its simplest form.
### Answer: 14759493670886076/10000000000000000

Expected answer: 583/395

Correct? No

Problem: Following the previous calculation of (56 / 8) + (90 / 86), what would the result be if you then subtracted (41 / 76) from that sum?

Mixtral 8x22B:

 Reasoning: (41 / 76) = <<41/76=0.5394736842105263>>0.5394736842105263 (rounded to 14 decimal places)
(56 / 8) + (90 / 86) - (41 / 76) = 8.046511627906976 - 0.5394736842105263 = <<8.046511627906976-0.5394736842105263=7.5070379436964495>>7.5070379436964495
### Answer: 7.5070379436964495

Expected answer: 24533/3268

Correct? No

Problem: In the previous problem, we calculated the sum of (56 / 8) and (90 / 86). However, now consider the scenario where instead of 86 parts, the second fraction is divided into 91 parts. What would be the sum of (56 / 8) and (90 / 91)?

Mixtral 8x22B:

 Reasoning: (56 / 8) = <<56/8=7>>7
(90 / 91) = <<90/91=0.989010989010989>>0.989010989010989 (rounded to 14 decimal places)
(56 / 8) + (90 / 91) = 7 + 0.989010989010989 = <<7+0.989010989010989=7.989010989010989>>7.989010989010989
### Answer: 7.989010989010989

Expected answer: 727/91

Correct? No

Problem: After finding the sum of 54/88 and 28/10, add this to 21/13 and find the resulting value.

Mixtral 8x22B:

 Reasoning: We have already found that the sum of 54/88 and 28/10 is 751/220.

Now we need to add this to 21/13. To do this, we need to find a common denominator. The least common multiple of 220 and 13 is 2860.

751/220 = (751 \* 13)/(220 \* 13) = 9763/2860

21/13 = (21 \* 220)/(13 \* 220) = 4620/2860

Now we can add the two fractions:

9763/2860 + 4620/2860 = (9763 + 4620)/2860 = 14383/2860

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

14383/2860 = (14383/1)/(2860/1) = 14383/2860

### Answer: 14383/2860

Expected answer: 14383/2860

Correct? Yes

Problem: What is the sum of 87/26 and the result of the previous problem ((15/32) + (65/15))?

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that the sum of 15/32 and 65/15 is 2305/480.

Now we need to find the sum of 87/26 and 2305/480.

First, we need to find a common denominator. The least common multiple of 26 and 480 is 7280.

87/26 = (87\*280)/(26\*280) = 24360/7280
2305/480 = (2305\*15)/(480\*15) = 34575/7280

Now we can add the two fractions:

24360/7280 + 34575/7280 = (24360+34575)/7280 = 58935/7280

### Answer: 58935/7280

Expected answer: 10169/1248

Correct? No

Problem: After finding the sum of 4/31 and 76/11, from that result subtract the fraction 63/35. What is the final result?

Mixtral 8x22B:

 Reasoning: We have already found that the sum of 4/31 and 76/11 is 2400/341.

Now we need to subtract 63/35 from 2400/341. To do this, we need to find a common denominator. The least common multiple of 341 and 35 is 11935.

2400/341 = (2400 \* 35)/(341 \* 35) = 84000/11935
63/35 = (63 \* 341)/(35 \* 341) = 21543/11935

Now we can subtract the two fractions:

84000/11935 - 21543/11935 = (84000 - 21543)/11935 = 62457/11935

### Answer: 62457/11935

Expected answer: 8931/1705

Correct? No

Problem: In the previous problem, instead of adding 4/31 to 76/11, what would the result be if we started with 42/31 and added it to 76/11 instead?

Mixtral 8x22B:

 Reasoning: To find the sum of 42/31 and 76/11, we need to find a common denominator. The least common multiple of 31 and 11 is 341.

42/31 = (42 \* 11)/(31 \* 11) = 462/341
76/11 = (76 \* 31)/(11 \* 31) = 2356/341

Now we can add the two fractions:

462/341 + 2356/341 = (462 + 2356)/341 = 2818/341

### Answer: 2818/341

Expected answer: 2818/341

Correct? Yes

Problem: Now, in addition to the previous question, what is the sum when you add the fraction 46/83 to the result of adding 82/15 and 100/12?

Mixtral 8x22B:

 Reasoning: From the previous question, we know that the sum of 82/15 and 100/12 is 69/5.

Now we need to add 46/83 to 69/5. To do this, we need to find a common denominator. The least common multiple of 5 and 83 is 415.

69/5 = (69 * 83) / (5 * 83) = 5727/415
46/83 = (46 * 5) / (83 * 5) = 230/415

Now we can add the two fractions:

5727/415 + 230/415 = (5727 + 230) / 415 = 5957/415

### Answer: 5957/415

Expected answer: 5957/415

Correct? Yes

Problem: Now suppose we made an adjustment. Instead of adding 82/15 to 100/12, we are going to add 61/15 to 100/12. What would be the new sum?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 15 and 12 is 60.

61/15 = (61 * 4) / (15 * 4) = 244/60
100/12 = (100 * 5) / (12 * 5) = 500/60

Now we can add the two fractions:

244/60 + 500/60 = (244 + 500) / 60 = 744/60

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 12:

744/60 = (744/12) / (60/12) = 62/5

### Answer: 62/5

Expected answer: 62/5

Correct? Yes

Problem: If you subtract 78/92 from the sum of 57/29 and 14/98 (from the previous problem), what do you get?

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that the sum of 57/29 and 14/98 is 2996/1421.

To subtract 78/92 from this sum, we need to find a common denominator. The least common multiple of 1421 and 92 is 1421 \* 92 = <<1421\*92=130612>>130612.

2996/1421 = (2996 \* 92)/(1421 \* 92) = <<2996\*92=275632>>275632/130612

78/92 = (78 \* 1421)/(92 \* 1421) = <<78\*1421=110898>>110898/130612

275632/130612 - 110898/130612 = (275632 - 110898)/130612 = <<275632-110898=164734>>164734/130612

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

164734/130612 = (164734/2)/(130612/2) = <<164734/2=82367>>82367/<<130612/2=65306>>65306

### Answer: 82367/65306

Expected answer: 11771/9338

Correct? No

Problem: If instead of the sum of 57/29 and 14/98, you calculated the sum of 57/29 and 14/26, what would be the new answer?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 29 and 26 is 29 \* 26 = <<29\*26=754>>754.

57/29 = (57 \* 26)/(29 \* 26) = <<57\*26=1482>>1482/754

14/26 = (14 \* 29)/(26 \* 29) = <<14\*29=406>>406/754

1482/754 + 406/754 = (1482 + 406)/754 = <<1482+406=1888>>1888/754

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

1888/754 = (1888/2)/(754/2) = <<1888/2=944>>944/<<754/2=377>>377

### Answer: 944/377

Expected answer: 944/377

Correct? Yes

Problem: If you add 83/35 to the result of adding the fractions 50/73 and 20/23, what is the total value?

Mixtral 8x22B:

 Reasoning: From the previous question, we know that the result of adding the fractions 50/73 and 20/23 is 2610/1679.

Now, we need to add 83/35 to this result. To do this, we need to find a common denominator for 1679 and 35. The least common multiple of 1679 and 35 is 58765.

So, we convert the fractions to have the same denominator:

2610/1679 = (2610 \* 35)/(1679 \* 35) = 91350/58765

83/35 = (83 \* 1679)/(35 \* 1679) = 139457/58765

Now, we can add the fractions:

91350/58765 + 139457/58765 = (91350 + 139457)/58765 = 230807/58765

### Answer: 230807/58765

Expected answer: 230707/58765

Correct? No

Problem: In the previous scenario, instead of having 50/73 of an hour left to complete your project, you have 50/57 of an hour left. Now, if you still have the additional 20/23 of an hour, how much total time do you have now?

Mixtral 8x22B:

 Reasoning: To find the total time, we need to add the two fractions:

50/57 + 20/23

To add the fractions, we need to find a common denominator. The least common multiple of 57 and 23 is 1311.

So, we convert the fractions to have the same denominator:

50/57 = (50 \* 23)/(57 \* 23) = 1150/1311

20/23 = (20 \* 57)/(23 \* 57) = 1140/1311

Now, we can add the fractions:

1150/1311 + 1140/1311 = (1150 + 1140)/1311 = 2290/1311

### Answer: 2290/1311

Expected answer: 2290/1311

Correct? Yes

Problem: After finding the value of (49 / 57) + (89 / 99), what would be the sum if you add the resultant value to itself?

Mixtral 8x22B:

 Reasoning: The resultant value is 1.7586390217969165.

If we add the resultant value to itself, we get:

1.7586390217969165 + 1.7586390217969165 = <<1.7586390217969165+1.7586390217969165=3.517278043593833>>3.517278043593833

### Answer: 3.517278043593833

Expected answer: 6616/1881

Correct? No

Problem: Earlier you found out the sum of (49 / 57) + (89 / 99). Now suppose the numerator of the first fraction was increased from 49 to 59. What is the sum of (59 / 57) + (89 / 99)?

Mixtral 8x22B:

 Reasoning: First, we need to calculate the new value of the first fraction.

(59 / 57) = <<59/57=1.0350877192982456>>1.0350877192982456

Now, we can add the new value of the first fraction to the value of the second fraction:

1.0350877192982456 + 0.898989898989899 = <<1.0350877192982456+0.898989898989899=1.9340776182881446>>1.9340776182881446

### Answer: 1.9340776182881446

Expected answer: 3638/1881

Correct? No

Problem: After finding the result of 94 / 35 - 23 / 49, add the result to the fraction 27 / 72. What is the final simplified fraction?

Mixtral 8x22B:

 Reasoning: 22163265306122448 / 10000000000000000 + 27 / 72 = <<22163265306122448/10000000000000000+27/72=22163265306122448/10000000000000000+27/72>>22163265306122448 / 10000000000000000 + 27 / 72
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 10000000000000000 and 72 is 10000000000000000.
Therefore, we can rewrite the second fraction as 27 \* (10000000000000000 / 72) / 10000000000000000 = <<27\*10000000000000000/72/10000000000000000=375000000000000000/10000000000000000>>375000000000000000 / 10000000000000000.
Now we can add the two fractions:
22163265306122448 / 10000000000000000 + 375000000000000000 / 10000000000000000 = <<22163265306122448/10000000000000000+375000000000000000/10000000000000000=59663265306122448/10000000000000000>>59663265306122448 / 10000000000000000
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 59663265306122448 and 10000000000000000 is 1.
Therefore, the simplified fraction is 59663265306122448 / 10000000000000000.
### Answer: 59663265306122448 / 10000000000000000

Expected answer: 5079/1960

Correct? No

Problem: Instead of 94 / 35, assume there were only 54 / 35 of something. You still subtract the same amount of 23 / 49. What is the new result as a simplified fraction?

Mixtral 8x22B:

 Reasoning: 54 / 35 = <<54/35=1.5428571428571428>>1.5428571428571428
23 / 49 = <<23/49=0.4693877551020408>>0.4693877551020408
1.5428571428571428 - 0.4693877551020408 = <<1.5428571428571428-0.4693877551020408=1.073469387755102>>1.073469387755102
To simplify the fraction, we can multiply the numerator and denominator by 10000000000000000 to get rid of the decimal point:
1073469387755102 / 10000000000000000 = <<1073469387755102/10000000000000000=1073469387755102/10000000000000000>>1073469387755102 / 10000000000000000
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 1073469387755102 and 10000000000000000 is 1.
Therefore, the simplified fraction is 1073469387755102 / 10000000000000000.
### Answer: 1073469387755102 / 10000000000000000

Expected answer: 263/245

Correct? No

Problem: If the sum of 58/30 and 49/37 is represented by the variable 't', what would be the value of 't' added to 't'?

Mixtral 8x22B:

 Reasoning: If the sum of 58/30 and 49/37 is represented by the variable 't', then 't' = 3616/1110.

To find the value of 't' added to 't', we simply multiply 't' by 2:

2 \* t = 2 \* (3616/1110) = (2 \* 3616)/1110 = 7232/1110

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

7232/1110 = (7232/2)/(1110/2) = 3616/555

### Answer: 3616/555

Expected answer: 3616/555

Correct? Yes

Problem: After adding 45/53 and 71/50, add this sum to an additional 8/100. What is the final result?

Mixtral 8x22B:

 Reasoning: We already calculated the sum of 45/53 and 71/50 as 6013/2650.

Now we need to add 8/100 to this sum. To do this, we need to find a common denominator for 2650 and 100. The least common multiple of 2650 and 100 is 265000.

6013/2650 = (6013 \* 100) / (2650 \* 100) = 601300 / 265000
8/100 = (8 \* 2650) / (100 \* 2650) = 21200 / 265000

Now we can add the two fractions:

601300/265000 + 21200/265000 = (601300 + 21200) / 265000 = 622500 / 265000

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 250.

622500 / 250 = 2490
265000 / 250 = 1060

So the simplified fraction is 2490/1060. However, since the denominator is not a whole number, we can't express the fraction in its simplest form. Therefore, we can leave the answer as 622500/265000.

### Answer: 622500/265000

Expected answer: 249/106

Correct? Yes

Problem: Instead of adding 45/53 and 71/50, let's now consider if we add 45/53 and 71/72. What result do we get?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need a common denominator. The least common multiple of 53 and 72 is 3816.

45/53 = (45 \* 72) / (53 \* 72) = 3240 / 3816
71/72 = (71 \* 53) / (72 \* 53) = 3763 / 3816

Now we can add the two fractions:

3240/3816 + 3763/3816 = (3240 + 3763) / 3816 = 6903 / 3816

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

6903 / 3 = 2301
3816 / 3 = 1272

So the simplified fraction is 2301/1272. However, since the denominator is not a whole number, we can't express the fraction in its simplest form. Therefore, we can leave the answer as 6903/3816.

### Answer: 6903/3816

Expected answer: 7003/3816

Correct? No

Problem: After calculating the sum of 36/72 and 49/1, subtract 48/10 from the result. What is the final answer?

Mixtral 8x22B:

 Reasoning: 48/10 = <<48/10=4.8>>4.8
49.5 - 4.8 = <<49.5-4.8=44.7>>44.7
### Answer: 44.7

Expected answer: 447/10

Correct? No

Problem: Earlier, you calculated the sum of 36/72 and 49/1. But what if instead of adding 49/1, you only added 14/1? What would be the new sum?

Mixtral 8x22B:

 Reasoning: 36/72 = <<36/72=0.5>>0.5
14/1 = <<14/1=14>>14
0.5 + 14 = <<0.5+14=14.5>>14.5
### Answer: 14.5

Expected answer: 29/2

Correct? No

Problem: After finding the sum of 61/20 and 29/15, add that result to 58/31. What is the final answer?

Mixtral 8x22B:

 Reasoning: We have already found that the sum of 61/20 and 29/15 is 299/60.

Now we need to add that result to 58/31. To do this, we need to find a common denominator. The least common multiple of 60 and 31 is 1830.

299/60 = (299\*30)/(60\*30) = 8970/1830

58/31 = (58\*60)/(31\*60) = 3480/1830

Now we can add the two fractions:

8970/1830 + 3480/1830 = (8970+3480)/1830 = 12450/1830

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 30.

12450/1830 = (12450/30)/(1830/30) = 415/61

### Answer: 415/61

Expected answer: 12749/1860

Correct? No

Problem: Previously you found the sum of 61/20 and 29/15. Now let's change the 15 in the denominator of the second fraction to 67, so that we are adding 61/20 and 29/67. What will the new sum be?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 20 and 67 is 1340.

61/20 = (61\*67)/(20\*67) = 4087/1340

29/67 = (29\*20)/(67\*20) = 580/1340

Now we can add the two fractions:

4087/1340 + 580/1340 = (4087+580)/1340 = 4667/1340

### Answer: 4667/1340

Expected answer: 4667/1340

Correct? Yes

Problem: After finding the sum of 30/79 and 29/6, subtract 44/75 from it. What is the result?

Mixtral 8x22B:

 Reasoning: We already found the sum of 30/79 and 29/6 to be 2471/474.

Now we need to subtract 44/75 from it. To do this, we need to find a common denominator for 474 and 75. The least common multiple of 474 and 75 is 35550.

2471/474 = (2471 \* 75)/(474 \* 75) = 185325/35550

44/75 = (44 \* 474)/(75 \* 474) = 20952/35550

Now we can subtract the two fractions:

185325/35550 - 20952/35550 = (185325 - 20952)/35550 = 164373/35550

### Answer: 164373/35550

Expected answer: 54823/11850

Correct? No

Problem: After recalculating, you realized you had 30/97 instead of 30/79. Now, add that to 29/6. What is the new result?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 97 and 6 is 582.

30/97 = (30 \* 6)/(97 \* 6) = 180/582

29/6 = (29 \* 97)/(6 \* 97) = 2813/582

Now we can add the two fractions:

180/582 + 2813/582 = (180 + 2813)/582 = 2993/582

### Answer: 2993/582

Expected answer: 2993/582

Correct? Yes

Problem: What is the sum of 63/51 and the result of subtracting 11/66 from 59/2?

Mixtral 8x22B:

 Reasoning: First, we need to find the result of subtracting 11/66 from 59/2, which we have already calculated as 968/33.

Now, we can add 63/51 to 968/33. To do this, we need to find a common denominator for the two fractions. The least common multiple of 51 and 33 is 1683.

So, we convert 63/51 to a fraction with a denominator of 1683:
63/51 = (63 \* 33)/(51 \* 33) = 2079/1683

Now, we can add 2079/1683 to 968/33:
2079/1683 + 968/33 = (2079 \* 33)/(1683 \* 33) + (968 \* 51)/(33 \* 51) = 68427/55491 + 49328/1683 = (68427 + 49328)/55491 = 117755/55491

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1:
117755/55491 = 117755/55491

### Answer: 117755/55491

Expected answer: 1559/51

Correct? No

Problem: What would the result be if we subtracted 11/31 instead of 11/66 from 59/2 in the previous problem?

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the two fractions. The least common multiple of 31 and 2 is 62.

So, we convert 59/2 to a fraction with a denominator of 62:
59/2 = (59 \* 31)/(2 \* 31) = 1829/62

Now, we can subtract 11/31 from 1829/62:
1829/62 - 11/31 = (1829 \* 2)/(62 \* 2) - (11 \* 2)/(31 \* 2) = 3658/124 - 22/62

To subtract the fractions, we need to find a common denominator. The least common multiple of 124 and 62 is 124.

So, we convert 22/62 to a fraction with a denominator of 124:
22/62 = (22 \* 2)/(62 \* 2) = 44/124

Now, we can subtract the fractions:
3658/124 - 44/124 = (3658 - 44)/124 = 3614/124

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
3614/124 = (3614/2)/(124/2) = 1807/62

### Answer: 1807/62

Expected answer: 1807/62

Correct? Yes

Problem: We previously calculated the sum of the fractions 58/23 and 25/26. Now, suppose we had started with 45/23 instead of 58/23. How does the sum of 45/23 and 25/26 compare to the original calculation?

Mixtral 8x22B:

 Reasoning: To compare the sum of 45/23 and 25/26 to the original calculation, we need to find the new sum and then compare it to the original sum of 2083/598.

45/23 = (45 \* 26)/(23 \* 26) = 1170/598

Now we can add the two fractions:

1170/598 + 575/598 = (1170 + 575)/598 = 1745/598

The new sum is 1745/598.

To compare the new sum to the original sum, we can subtract the original sum from the new sum:

1745/598 - 2083/598 = (1745 - 2083)/598 = -338/598

The new sum is 338/598 less than the original sum.

### Answer: The new sum is 338/598 less than the original sum.

Expected answer: 1745/598

Correct? No

Problem: After calculating the sum of the fractions 70/13 and 17/52, subtract 35/87 from the result. What is your new answer?

Mixtral 8x22B:

 Reasoning: We have already calculated the sum of the fractions 70/13 and 17/52 to be 297/52.

Now we need to subtract 35/87 from 297/52. To do this, we need to find a common denominator. The least common multiple of 52 and 87 is 4484.

297/52 = (297 \* 87)/(52 \* 87) = 25839/4484

35/87 = (35 \* 52)/(87 \* 52) = 1820/4484

Now we can subtract the fractions:

25839/4484 - 1820/4484 = (25839 - 1820)/4484 = 24019/4484

### Answer: 24019/4484

Expected answer: 24019/4524

Correct? No

Problem: After reconsidering the quantities, suppose that originally there were 70/93 oranges instead of 70/13. Recalculate the sum of the fractions with this quantity of oranges and 17/52 apples. What is your new answer?

Mixtral 8x22B:

 Reasoning: To add the fractions, we need to find a common denominator. The least common multiple of 93 and 52 is 1488.

70/93 = (70 \* 16)/(93 \* 16) = 1120/1488

17/52 = (17 \* 28)/(52 \* 28) = 476/1488

Now we can add the fractions:

1120/1488 + 476/1488 = (1120 + 476)/1488 = 1596/1488

### Answer: 1596/1488

Expected answer: 5221/4836

Correct? No

Problem: If the result from the previous calculation is subtracted by 23/29, what is the final result?

Mixtral 8x22B:

 Reasoning: To subtract 23/29 from 4381/1998, we need to find a common denominator. The least common multiple of 1998 and 29 is 57942.

4381/1998 = (4381\*29)/(1998\*29) = 127049/57942

23/29 = (23\*1998)/(29\*1998) = 45954/57942

Now we can subtract the fractions:

127049/57942 - 45954/57942 = (127049-45954)/57942 = 81095/57942

### Answer: 81095/57942

Expected answer: 81095/57942

Correct? Yes

Problem: If initially, instead of having 17/74 of the fruit basket filled with oranges, we had 28/74 of it filled with oranges, and we still added the same 53/27 fraction of the basket filled with apples, then what would the total fraction of the fruit basket be when filled with these fruits?

Mixtral 8x22B:

 Reasoning: If we initially had 28/74 of the fruit basket filled with oranges, and then we added 53/27 of the basket filled with apples, we would have:

28/74 + 53/27 = (28\*27)/(74\*27) + (53\*74)/(27\*74) = 756/1998 + 3922/1998 = (756+3922)/1998 = 4678/1998

### Answer: 4678/1998

Expected answer: 2339/999

Correct? Yes

Problem: After finding the value of (76/76) + (96/16), what is the result when you add the solution to itself?

Mixtral 8x22B:

 Reasoning: The value of (76/76) + (96/16) is 7.
Adding the solution to itself: 7 + 7 = <<7+7=14>>14
### Answer: 14

Expected answer: 14

Correct? Yes

Problem: You originally calculated (76/76) + (96/16). Now reconsider your thought, what would be the new total if the second fraction was 96/33 instead of 96/16?

Mixtral 8x22B:

 Reasoning: (76/76) = <<76/76=1>>1, (96/33) = <<96/33=2.909090909090909>>2.909090909090909 (rounded to 9 decimal places)
(76/76) + (96/33) = 1 + 2.909090909090909 = <<1+2.909090909090909=3.909090909090909>>3.909090909090909 (rounded to 9 decimal places)
### Answer: 3.909090909090909 (rounded to 9 decimal places)

Expected answer: 43/11

Correct? No

Problem: After calculating the result of ((94 / 14) - (50 / 90)), reconsider the calculation by replacing (50 / 90) with (50 / 19) instead. What is the result of ((94 / 14) - (50 / 19))? What is the final result as a simplified fraction?

Mixtral 8x22B:

 Reasoning: First, simplify the fractions 94/14 and 50/19.
94/14 = <<94/14=6.714285714285714>>6.714285714285714, which can be simplified to 47/7.
50/19 = <<50/19=2.631578947368421>>2.631578947368421, which cannot be simplified further.
Now, subtract the two fractions: 47/7 - 50/19.
To subtract these fractions, we need a common denominator. The least common multiple of 7 and 19 is 133.
So, we convert the fractions to have a denominator of 133:
47/7 = (47 * 19)/(7 * 19) = 893/133
50/19 = (50 * 7)/(19 * 7) = 350/133
Now, subtract the two fractions: 893/133 - 350/133 = (893 - 350)/133 = 543/133.
### Answer: 543/133

Expected answer: 543/133

Correct? Yes

Problem: Given the sum you found in the last problem, add that number to 86/82. What is the result?

Mixtral 8x22B:

 Reasoning: First, simplify the fraction 86/82.
86/82 = <<86/82=43/41>>43/41
Now, add the two fractions.
868/43 + 43/41 = <<868/43+43/41=37664/1763>>37664/1763
### Answer: 37664/1763

Expected answer: 37437/1763

Correct? No

Problem: What if we change the previous problem so that instead of sharing 75/86 of a pie, we share 75/86 of it, and instead of adding 60/3 slices, we still add 60/3 slices to it. What is the total number of slices now?

Mixtral 8x22B:

 Reasoning: First, simplify the fractions.
75/86 = <<75/86=75/86>>75/86
60/3 = <<60/3=20>>20
Now, find a common denominator to add the fractions.
The common denominator is 86.
75/86 + 20 = <<75/86+20=75/86+1720/86=1795/86>>1795/86
### Answer: 1795/86

Expected answer: 1795/86

Correct? Yes

Problem: After finding the result of 95 / 16 - 43 / 60, add the result to 80 / 79. What is the final answer?

Mixtral 8x22B:

 Reasoning: We have already found that the result of 95 / 16 - 43 / 60 is 1253 / 240.

Now, we need to add this result to 80 / 79.

First, we need to find the common denominator for the fractions 1253 / 240 and 80 / 79. The least common multiple of 240 and 79 is 18960.

So, we convert the fractions to have the same denominator:

1253 / 240 = (1253 * 79) / (240 * 79) = 99067 / 18960
80 / 79 = (80 * 240) / (79 * 240) = 19200 / 18960

Now, we can add the fractions:

99067 / 18960 + 19200 / 18960 = (99067 + 19200) / 18960 = 118267 / 18960

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

118267 / 18960 = 118267 / 18960

So, the final answer is 118267 / 18960.

### Answer: 118267 / 18960

Expected answer: 118187/18960

Correct? No

Problem: After finding the result of 95 / 16 - 43 / 60 in the previous problem, let's change it a bit. What if instead of 95/16, you had 91/16 and you subtracted 43/60 from it? What would the new result be?

Mixtral 8x22B:

 Reasoning: We can follow the same steps as before, but with the new numerator 91 instead of 95.

First, we find the common denominator for the fractions 91/16 and 43/60, which is 240.

So, we convert the fractions to have the same denominator:

91/16 = (91 * 15) / (16 * 15) = 1365 / 240
43/60 = (43 * 4) / (60 * 4) = 172 / 240

Now, we can subtract the fractions:

1365 / 240 - 172 / 240 = (1365 - 172) / 240 = 1193 / 240

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

1193 / 240 = 1193 / 240

So, the result of 91 / 16 - 43 / 60 is 1193 / 240.

### Answer: 1193 / 240

Expected answer: 1193/240

Correct? Yes

Problem: Recalling the fraction calculation from the previous problem (38/8 and 4/16), what is the new total if you were to add 32/64 to this sum?

Mixtral 8x22B:

 Reasoning: The new total is 5 + 32/64 = 5 + 1/2 = 5.5.
### Answer: 5.5

Expected answer: 11/2

Correct? Yes

Problem: In the previous problem, we considered the sum of the fractions 38/8 and 4/16 and then added 32/64. Now, instead of 38/8, let's consider 12/8. What would be the new sum if you added 12/8 and 4/16 together?

Mixtral 8x22B:

 Reasoning: The new sum would be (12/8) + (4/16) = (12/8) + (1/4) = (12/8) + (2/8) = (12+2)/8 = 14/8 = 7/4.
### Answer: 7/4

Expected answer: 7/4

Correct? Yes

Problem: After calculating 67 / 15 - 27 / 12 from the previous problem, what would be the result if you subtract 7 / 35 from your answer?

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that the result of 67 / 15 - 27 / 12 is 2.216666666666667.
Now, we need to calculate the division operation 7 / 35.
7 / 35 = <<7/35=0.2>>0.2
Now, we can subtract this result from the previous one.
2.216666666666667 - 0.2 = <<2.216666666666667-0.2=2.016666666666667>>2.016666666666667
### Answer: 2.016666666666667

Expected answer: 121/60

Correct? No

Problem: In the previous question, we considered the difference between 67 / 15 and 27 / 12. Now, if there were only 27 / 50 instead of 27 / 12, what would the difference between the 67 / 15 and this new value be?

Mixtral 8x22B:

 Reasoning: First, we need to calculate the new division operation.
27 / 50 = <<27/50=0.54>>0.54
Now, we can subtract this new value from the original value of 67 / 15.
4.466666666666667 - 0.54 = <<4.466666666666667-0.54=3.926666666666667>>3.926666666666667
### Answer: 3.926666666666667

Expected answer: 589/150

Correct? No

Problem: If you add 84/30 to the sum of 38/59 and 80/94, what is the resultant value?

Mixtral 8x22B:

 Reasoning: We already calculated the sum of 38/59 and 80/94 as 4146/2773.

Now we need to add 84/30 to this sum. To do this, we need to find a common denominator for the two fractions. The least common multiple of 2773 and 30 is 2773 \* 30.

So, we convert the fractions to have the same denominator:

4146/2773 = (4146 \* 30)/(2773 \* 30) = 124380/83190

84/30 = (84 \* 2773)/(30 \* 2773) = 232902/83190

Now we can add the two fractions:

124380/83190 + 232902/83190 = (124380 + 232902)/83190 = 357282/83190

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

357282/83190 = (357282/6)/(83190/6) = 59547/13865

### Answer: 59547/13865

Expected answer: 59552/13865

Correct? No

Problem: If instead of 38/59, the fraction was 38/39, what would be the new sum when combined with 80/94?

Mixtral 8x22B:

 Reasoning: If the fraction was 38/39 instead of 38/59, we would still need to find a common denominator to add the two fractions. The least common multiple of 39 and 94 is 39 \* 94.

So, we convert the fractions to have the same denominator:

38/39 = (38 \* 94)/(39 \* 94) = 3572/3666

80/94 = (80 \* 39)/(94 \* 39) = 3120/3666

Now we can add the two fractions:

3572/3666 + 3120/3666 = (3572 + 3120)/3666 = 6692/3666

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

6692/3666 = (6692/2)/(3666/2) = 3346/1833

### Answer: 3346/1833

Expected answer: 3346/1833

Correct? Yes

Problem: After calculating the sum of 10/14 and 70/20, add this result to 100/20. What is the new total?

Mixtral 8x22B:

 Reasoning: We have already calculated the sum of 10/14 and 70/20 to be 4.214285714285714.

Now we need to add this result to 100/20.

100/20 = (100\*5)/(20\*5) = 500/100

Now we can add the two results:

4.214285714285714 + 500/100 = 4.214285714285714 + 5 = 9.214285714285714

### Answer: 9.214285714285714

Expected answer: 129/14

Correct? No

Problem: After reviewing your previous calculation, you realize that the first fraction was not 10/14 but actually 10/18. Now find the sum of the corrected fraction, 10/18 and the same second fraction, 70/20. What is the revised total?

Mixtral 8x22B:

 Reasoning: The corrected first fraction is 10/18. The second fraction remains 70/20.

First, we need to find a common denominator for the two fractions. The least common multiple of 18 and 20 is 180.

10/18 = (10\*10)/(18\*10) = 100/180
70/20 = (70\*9)/(20\*9) = 630/180

Now we can add the two fractions:

100/180 + 630/180 = (100+630)/180 = 730/180

To report the answer as a decimal, we divide 730 by 180:

730/180 = <<730/180=4.055555555555555>>4.055555555555555

### Answer: 4.055555555555555

Expected answer: 73/18

Correct? No

Problem: Following the previous problem, suppose we now also add 3/82 to the sum of 49/75 and 88/58, what would the new sum be?

Mixtral 8x22B:

 Reasoning: To add 3/82 to the sum of 49/75 and 88/58, we need to find a common denominator for all three fractions. The least common multiple of 75, 58, and 82 is 4350\*82 = 356700.

49/75 = (49\*58\*82)/(75\*58\*82) = 2842\*82/356700

88/58 = (88\*75\*82)/(58\*75\*82) = 6600\*82/356700

3/82 = (3\*75\*58)/(82\*75\*58) = 1365/356700

Now we can add the three fractions:

(2842\*82 + 6600\*82 + 1365)/356700 = (232964 + 541200 + 1365)/356700 = 777529/356700

### Answer: 777529/356700

Expected answer: 393647/178350

Correct? No

Problem: Now consider a different scenario where we started with 12/75 instead of 49/75, and we still add 88/58. What would we get as the sum in this case?

Mixtral 8x22B:

 Reasoning: To find the sum of 12/75 and 88/58, we need to find a common denominator. The least common multiple of 75 and 58 is 4350.

12/75 = (12\*58)/(75\*58) = 702/4350

88/58 = (88\*75)/(58\*75) = 6600/4350

Now we can add the two fractions:

702/4350 + 6600/4350 = (702+6600)/4350 = 7302/4350

### Answer: 7302/4350

Expected answer: 1216/725

Correct? No

Problem: Following up on our previous question, what is the result when you add (72 / 81) to the difference between (50 / 2) and (50 / 32)?

Mixtral 8x22B:

 Reasoning: First, we calculate the two divisions from the previous question: 50 / 2 = <<50/2=25>>25 and 50 / 32 = <<50/32=1.5625>>1.5625 (rounded to four decimal places).
Then, we subtract the second result from the first: 25 - 1.5625 = <<25-1.5625=23.4375>>23.4375 (rounded to four decimal places).
Next, we calculate the division: 72 / 81 = <<72/81=0.8888888888888888>>0.8888888888888888 (rounded to 16 decimal places).
Finally, we add the result of the division to the difference: 23.4375 + 0.8888888888888888 = <<23.4375+0.8888888888888888=24.326388888888888>>24.326388888888888 (rounded to 16 decimal places).
### Answer: 24.326388888888888

Expected answer: 3503/144

Correct? No

Problem: Following the previous problem, consider this change, what would the result be if instead of dividing by 32, you divide 50 by 91? What would be the new result for ((50 / 2) - (50 / 91))?

Mixtral 8x22B:

 Reasoning: First, we calculate the two divisions: 50 / 2 = <<50/2=25>>25 and 50 / 91 = <<50/91=0.5494505494505494>>0.5494505494505494 (rounded to 14 decimal places).
Then, we subtract the second result from the first: 25 - 0.5494505494505494 = <<25-0.5494505494505494=24.45054945054945>>24.45054945054945 (rounded to 14 decimal places).
### Answer: 24.45054945054945

Expected answer: 2225/91

Correct? No

Problem: What is the result when you add the sum of ((77 / 30) + (18 / 51)) to itself?

Mixtral 8x22B:

 Reasoning: We have already calculated the sum of ((77 / 30) + (18 / 51)) to be 2.9196078431372547.

To find the result when we add this sum to itself, we simply multiply it by 2:

2.9196078431372547 \* 2 = <<2.9196078431372547\*2=5.839215686274509>>5.839215686274509

### Answer: 5.839215686274509

Expected answer: 1489/255

Correct? No

Problem: What is the result if instead of adding (18 / 51), we add (18 / 74) to (77 / 30)?

Mixtral 8x22B:

 Reasoning: First, we need to calculate the two fractions separately.

77 / 30 = <<77/30=2.5666666666666665>>2.5666666666666665
18 / 74 = <<18/74=0.24324324324324325>>0.24324324324324325

Now, we can add the two results together:

2.5666666666666665 + 0.24324324324324325 = <<2.5666666666666665+0.24324324324324325=2.8099099099099097>>2.8099099099099097

### Answer: 2.8099099099099097

Expected answer: 3119/1110

Correct? No

Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form. Then, add this result to itself. What is the final simplified fraction?

Mixtral 8x22B:

 Reasoning: (57 / 22) - (72 / 48) = (57 / 22) - (3 / 2) = (57 - 33) / 22 = 24 / 22 = 12 / 11
Adding this result to itself: 12 / 11 + 12 / 11 = 24 / 11
### Answer: 24/11

Expected answer: 24/11

Correct? Yes

Problem: Originally, you calculated the result of (57 / 22) - (72 / 48) and expressed your answer as a fraction in the simplest form. Now, consider the scenario where you miscalculated and the second fraction was actually (72 / 100) instead of (72 / 48). Recalculate the expression (57 / 22) - (72 / 100). What is the final simplified fraction in this case?

Mixtral 8x22B:

 Reasoning: (57 / 22) - (72 / 100) = (57 / 22) - (18 / 25) = (1425 - 792) / 550 = 633 / 550 = 211 / 183
### Answer: 211/183

Expected answer: 1029/550

Correct? No

Problem: In addition to the previously computed sum of 37/20 and 16/75, now add the fraction 61/80 to this sum. What is the total when all three fractions are added together?

Mixtral 8x22B:

 Reasoning: We have already found that the sum of 37/20 and 16/75 is 619/300. Now we need to add the fraction 61/80 to this sum.

To add the two fractions, we need to find a common denominator. The least common multiple of 300 and 80 is 2400.

619/300 = (619\*8)/(300\*8) = 4952/2400

61/80 = (61\*30)/(80\*30) = 1830/2400

Now we can add the two fractions:

4952/2400 + 1830/2400 = (4952+1830)/2400 = 6782/2400

The fraction 6782/2400 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Therefore, the simplified fraction is 3391/1200.

### Answer: 3391/1200

Expected answer: 3391/1200

Correct? Yes

Problem: If there originally were 60/20 portions of a cake and you added 16/75 portions of another cake to it, how much cake would you have in total? Please write your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To find the total amount of cake, we need to add the two fractions. The least common multiple of 20 and 75 is 300.

60/20 = (60\*15)/(20\*15) = 900/300

16/75 = (16\*4)/(75\*4) = 64/300

Now we can add the two fractions:

900/300 + 64/300 = (900+64)/300 = 964/300

The fraction 964/300 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Therefore, the simplified fraction is 482/150.

### Answer: 482/150

Expected answer: 241/75

Correct? Yes

Problem: After finding the result of 83/40 + 6/8, subtract 24/64 from it. What do you get?

Mixtral 8x22B:

 Reasoning: First, simplify the fractions.
83/40 + 6/8 = <<83/40+6/8=2.825>>2.825
24/64 = <<24/64=0.375>>0.375
Now, subtract the two fractions.
2.825 - 0.375 = <<2.825-0.375=2.45>>2.45
### Answer: 2.45

Expected answer: 49/20

Correct? No

Problem: After adjusting our original calculation, we now have 83/18 instead of 83/40. So now, what is the result of 83/18 + 6/8?

Mixtral 8x22B:

 Reasoning: First, simplify the fractions.
83/18 = <<83/18=4.611111111111111>>4.611111111111111
6/8 = <<6/8=0.75>>0.75
Now, add the two fractions together.
4.611111111111111 + 0.75 = <<4.611111111111111+0.75=5.361111111111111>>5.361111111111111
### Answer: 5.361111111111111

Expected answer: 193/36

Correct? No

Problem: After finding the result of the addition of the fractions 37/69 and 67/61, what would you get if you further added 100/7 to the result?

Mixtral 8x22B:

 Reasoning: We have already found that the result of the addition of the fractions 37/69 and 67/61 is 6880/4209.

To add 100/7 to this result, we need to find a common denominator. The least common multiple of 4209 and 7 is 29463.

6880/4209 = (6880 \* 7)/(4209 \* 7) = 48160/29463
100/7 = (100 \* 4209)/(7 \* 4209) = 420900/29463

Now we can add the fractions:

48160/29463 + 420900/29463 = (48160 + 420900)/29463 = 469060/29463

### Answer: 469060/29463

Expected answer: 469060/29463

Correct? Yes

Problem: If you already found the sum of 51/78 and 44/83, what would be the result if you added that sum to 71/92?

Mixtral 8x22B:

 Reasoning: We already found that the sum of 51/78 and 44/83 is 2555/2158.

Now we need to add that sum to 71/92. To do this, we need to find a common denominator for 2158 and 92. The least common multiple of 2158 and 92 is 2158 \* 92.

2555/2158 = (2555 \* 92)/(2158 \* 92) = 235420/2158 \* 92
71/92 = (71 \* 2158)/(92 \* 2158) = 153418/2158 \* 92

Now we can add the two fractions:

235420/2158 \* 92 + 153418/2158 \* 92 = (235420 + 153418)/(2158 \* 92) = 388838/2158 \* 92

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

388838/2158 \* 92 = (388838/2)/(2158 \* 92/2) = 194419/1079 \* 46

### Answer: 194419/1079 \* 46

Expected answer: 194139/99268

Correct? No

Problem: You previously calculated the sum of 51/78 and 44/83. What if you made a mistake and the first fraction was actually 51/74 instead of 51/78? What would be the new sum of 51/74 and 44/83?

Mixtral 8x22B:

 Reasoning: If the first fraction was 51/74 instead of 51/78, we would need to find a new common denominator. The least common multiple of 74 and 83 is 6142.

51/74 = (51 \* 83)/(74 \* 83) = 4233/6142
44/83 = (44 \* 74)/(83 \* 74) = 3256/6142

Now we can add the two fractions:

4233/6142 + 3256/6142 = (4233 + 3256)/6142 = 7489/6142

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

7489/6142 = (7489/1)/(6142/1) = 7489/6142

### Answer: 7489/6142

Expected answer: 7489/6142

Correct? Yes

Problem: If you instead added the fractions 99/85 and 96/55, what would the new sum be?

Mixtral 8x22B:

 Reasoning: To add the fractions, we need to find a common denominator. The least common multiple of 85 and 55 is 4675.

99/85 = (99 \* 55)/(85 \* 55) = 5445/4675

96/55 = (96 \* 85)/(55 \* 85) = 8160/4675

Now we can add the fractions:

5445/4675 + 8160/4675 = (5445 + 8160)/4675 = 13605/4675

### Answer: 13605/4675

Expected answer: 2721/935

Correct? Yes

Problem: After finding the value of 97 / 56 - 31 / 52, what is the result of adding it to 100 / 25? Write your final answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: We have already found that 97 / 56 - 31 / 52 = 827 / 728.

Now, we need to add this to 100 / 25.

First, we convert 100 / 25 to have the same denominator as 827 / 728:

100 / 25 = (100 * 29) / (25 * 29) = 2900 / 725

Now, we can add the two fractions:

827 / 728 + 2900 / 725 = (827 * 725) / (728 * 725) + (2900 * 728) / (725 * 728)

To simplify the addition, we can find a common denominator for the two fractions. The least common multiple of 728 and 725 is 528,000.

So, we convert the fractions to have the same denominator:

(827 * 725) / (728 * 725) = (827 * 725) / 528,000

(2900 * 728) / (725 * 728) = (2900 * 728) / 528,000

Now, we can add the two fractions:

(827 * 725) / 528,000 + (2900 * 728) / 528,000 = (827 * 725 + 2900 * 728) / 528,000

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

(827 * 725 + 2900 * 728) / 528,000 = (827 * 725 + 2900 * 728) / 528,000

### Answer: (827 * 725 + 2900 * 728) / 528,000

Expected answer: 3739/728

Correct? No

Problem: If instead of 31/52 in the previous problem you had 26/52 to subtract from 97/56, what would the new result be? Please express your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To find the value of 97 / 56 - 26 / 52, we first need to find a common denominator for the two fractions. The least common multiple of 56 and 52 is 1456.

So, we convert the fractions to have the same denominator:

97 / 56 = (97 * 26) / (56 * 26) = 2522 / 1456

26 / 52 = (26 * 28) / (52 * 28) = 728 / 1456

Now, we can subtract the two fractions:

2522 / 1456 - 728 / 1456 = (2522 - 728) / 1456 = 1794 / 1456

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

1794 / 1456 = (1794 / 2) / (1456 / 2) = 897 / 728

### Answer: 897 / 728

Expected answer: 69/56

Correct? Yes

Problem: After you have calculated the result of the previous operation (78 / 74) + (72 / 51), find the sum if you add the result of the operation to itself. What is the final answer?

Mixtral 8x22B:

 Reasoning: The result of the previous operation is 2.465818759936407.

If we add the result to itself, we get:

2.465818759936407 + 2.465818759936407 = <<2.465818759936407+2.465818759936407=4.931637519872814>>4.931637519872814

### Answer: 4.931637519872814

Expected answer: 3102/629

Correct? No

Problem: Suppose in our previous operation, instead of adding (72 / 51), we were to add (56 / 51) to (78 / 74). What would be the new result of the operation (78 / 74) + (56 / 51)?

Mixtral 8x22B:

 Reasoning: First, we need to calculate the result of each fraction separately.

78 / 74 = <<78/74=1.054054054054054>>1.054054054054054
56 / 51 = <<56/51=1.1019607843137255>>1.1019607843137255

Now, we can add the results of the two fractions together:

1.054054054054054 + 1.1019607843137255 = <<1.054054054054054+1.1019607843137255=2.1550148383677795>>2.1550148383677795

### Answer: 2.1550148383677795

Expected answer: 4061/1887

Correct? No

Problem: After calculating the result of (33 / 23) - (12 / 75), now find the sum when you add this result to 24 / 81. Express your answer as a fraction.

Mixtral 8x22B:

 Reasoning: The result of the operation (33 / 23) - (12 / 75) is 733 / 575.

The sum of this result and 24 / 81 can be found by finding a common denominator for the two fractions. The common denominator for 575 and 81 is 46575.

(733 / 575) + (24 / 81) = (733 \* 81 / 575 \* 81) + (24 \* 575 / 81 \* 575) = (59493 / 46575) + (13800 / 46575) = (59493 + 13800) / 46575 = 73293 / 46575

The fraction 73293 / 46575 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

73293 / 46575 = (73293 / 3) / (46575 / 3) = 24431 / 15525

### Answer: 24431/15525

Expected answer: 24391/15525

Correct? No

Problem: What is the sum if you add the result of 80/13 + 2/48 to itself?

Mixtral 8x22B:

 Reasoning: The result of 80/13 + 2/48 is 1933/312.
To find the sum of this result added to itself, we simply multiply the result by 2:
1933/312 * 2 = (1933*2)/312 = 3866/312
### Answer: 3866/312

Expected answer: 1933/156

Correct? Yes

Problem: What would be the result if you were to add 80/5 and 2/48 instead of 80/13 and 2/48?

Mixtral 8x22B:

 Reasoning: 80/5 is already in its simplest form.
2/48 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
2/48 = 1/24
Now, we can add the two fractions:
80/5 + 1/24
To add these fractions, we need a common denominator. The least common multiple of 5 and 24 is 120.
80/5 = (80*24)/(5*24) = 1920/120
1/24 = (1*5)/(24*5) = 5/120
Now we can add the two fractions:
1920/120 + 5/120 = (1920+5)/120 = 1925/120
### Answer: 1925/120

Expected answer: 385/24

Correct? Yes

Problem: In the previous problem, you calculated the result of the operation ((55 / 30) - (1 / 72)). What would be the result if you added the fraction (73 / 92) to your answer?

Mixtral 8x22B:

 Reasoning: First, we calculate the division operation:
73 / 92 = <<73/92=0.7934782608695652>>0.7934782608695652
Next, we add this result to the previous answer:
1.8194444444444444 + 0.7934782608695652 = <<1.8194444444444444+0.7934782608695652=2.6129227053140096>>2.6129227053140096
### Answer: 2.6129227053140096

Expected answer: 4327/1656

Correct? No

Problem: In the previous problem, we started with the operation ((55 / 30) - (1 / 72)). Suppose now that we started with 80 instead of 55 in the first fraction. How will the result change when you calculate the new operation ((80 / 30) - (1 / 72))?

Mixtral 8x22B:

 Reasoning: First, we calculate the division operations:
80 / 30 = <<80/30=2.6666666666666665>>2.6666666666666665
1 / 72 = <<1/72=0.013888888888888888>>0.013888888888888888
Next, we subtract the second result from the first:
2.6666666666666665 - 0.013888888888888888 = <<2.6666666666666665-0.013888888888888888=2.6527777777777777>>2.6527777777777777
### Answer: 2.6527777777777777

Expected answer: 191/72

Correct? No

Problem: If we take the sum of 24/60 and 42/45 from the previous problem, and add it to the fraction 66/12, what is the new total? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that the sum of 24/60 and 42/45 is 4/3.

Now we need to add this to 66/12. To do this, we need to find a common denominator. The least common multiple of 3 and 12 is 12.

4/3 = (4\*4)/(3\*4) = 16/12
66/12 = 66/12

Now we can add the two fractions:

16/12 + 66/12 = (16+66)/12 = 82/12

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

82/12 = (82/2)/(12/2) = 41/6

### Answer: 41/6

Expected answer: 41/6

Correct? Yes

Problem: In the previous problem, suppose the fraction we added to 24/60 was actually 42/67, not 42/45. What would the new total be? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 60 and 67 is 2010.

24/60 = (24\*33.5)/(60\*33.5) = 804/2010
42/67 = (42\*30)/(67\*30) = 1260/2010

Now we can add the two fractions:

804/2010 + 1260/2010 = (804+1260)/2010 = 2064/2010

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

2064/2010 = (2064/6)/(2010/6) = 344/335

### Answer: 344/335

Expected answer: 344/335

Correct? Yes

Problem: After finding the sum of 64/76 and 35/33, what is the result when you add 47/38 to that sum?

Mixtral 8x22B:

 Reasoning: We have already found that the sum of 64/76 and 35/33 is 1193/627.

Now we need to find the sum of 1193/627 and 47/38. To do this, we need to find a common denominator. The least common multiple of 627 and 38 is 23862.

1193/627 = (1193 \* 38)/(627 \* 38) = 45334/23862

47/38 = (47 \* 627)/(38 \* 627) = 29589/23862

Now we can add the two fractions:

45334/23862 + 29589/23862 = (45334 + 29589)/23862 = 74923/23862

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

74923/23862 = (74923/1)/(23862/1) = 74923/23862

### Answer: 74923/23862

Expected answer: 3937/1254

Correct? No

Problem: After reconsidering the previous problem, suppose initially there were 43/76 of an orange instead of 64/76. What will be the new sum when you add it to the same 35/33 of an apple?

Mixtral 8x22B:

 Reasoning: To find the new sum, we need to find a common denominator for 43/76 and 35/33. The least common multiple of 76 and 33 is 2508.

43/76 = (43 \* 33)/(76 \* 33) = 1419/2508

35/33 = (35 \* 76)/(33 \* 76) = 2660/2508

Now we can add the two fractions:

1419/2508 + 2660/2508 = (1419 + 2660)/2508 = 4079/2508

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

4079/2508 = (4079/1)/(2508/1) = 4079/2508

### Answer: 4079/2508

Expected answer: 4079/2508

Correct? Yes

Problem: After you have calculated the result of the operation (58 / 2) + (31 / 32), subtract 90 / 58 from your answer. What is the final result?

Mixtral 8x22B:

 Reasoning: First, we need to perform the division operation.
90 / 58 = <<90/58=1.5517241379310345>>1.5517241379310345
Next, we subtract the result of the division operation from the previous result.
29.96875 - 1.5517241379310345 = <<29.96875-1.5517241379310345=28.417025862068965>>28.417025862068965
### Answer: 28.417025862068965

Expected answer: 26371/928

Correct? No

Problem: In the problem of adding (58 / 2) + (31 / 32), what would the result be if we originally had (58 / 2) + (10 / 32) instead? Now, compute the value.

Mixtral 8x22B:

 Reasoning: First, we need to perform the division operations.
58 / 2 = <<58/2=29>>29
10 / 32 = <<10/32=0.3125>>0.3125
Next, we add the results of the division operations.
29 + 0.3125 = <<29+0.3125=29.3125>>29.3125
### Answer: 29.3125

Expected answer: 469/16

Correct? No

Problem: After you have calculated the sum of 26/90 and 50/26, subtract 92/89 from the result of that sum. What is the final value as a fraction?

Mixtral 8x22B:

 Reasoning: We have already calculated the sum of 26/90 and 50/26 as 1294/585.

Now we need to subtract 92/89 from 1294/585.

To subtract the two fractions, we need to find a common denominator. The least common multiple of 585 and 89 is 52155.

1294/585 = (1294\*89)/(585\*89) = 115246/52155

92/89 = (92\*585)/(89\*585) = 53820/52155

115246/52155 - 53820/52155 = (115246-53820)/52155 = 61426/52155

The fraction 61426/52155 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.

### Answer: 61426/52155

Expected answer: 61346/52065

Correct? No

Problem: After calculating the sum of 26/90 and 50/26, suppose instead you added 26/90 and 50/38. How would the result change? Please give the answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 90 and 38 is 1710.

26/90 = (26\*19)/(90\*19) = 494/1710

50/38 = (50\*45)/(38\*45) = 2250/1710

494/1710 + 2250/1710 = (494+2250)/1710 = 2744/1710

The fraction 2744/1710 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

2744/1710 = (2744/2)/(1710/2) = 1372/855

### Answer: 1372/855

Expected answer: 1372/855

Correct? Yes

Problem: What would be the result if you added together the sum of 89/44 and 69/5 to itself?

Mixtral 8x22B:

 Reasoning: The sum of 89/44 and 69/5 is 3481/220.

To find the result of adding this sum to itself, we simply multiply the sum by 2:

2 * (3481/220) = (2 * 3481) / 220 = 6962/220

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

6962/220 = (6962/2) / (220/2) = 3481/110

### Answer: 3481/110

Expected answer: 3481/110

Correct? Yes

Problem: What would be the result if we instead added 89/44 and 69/38, rather than 89/44 and 69/5 as was done in the original problem?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need a common denominator. The least common multiple of 44 and 38 is 748.

89/44 = (89 * 17) / (44 * 17) = 1513/748
69/38 = (69 * 20) / (38 * 20) = 1380/748

Now we can add the two fractions:

1513/748 + 1380/748 = (1513 + 1380) / 748 = 2893/748

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

2893/748 is already in its simplest form.

### Answer: 2893/748

Expected answer: 3209/836

Correct? No

Problem: Let's extend the previous problem. If you take the result of 79/32 - 52/55 and add it to 42/99, what is the new result?

Mixtral 8x22B:

 Reasoning: From the previous problem, we know that 79/32 - 52/55 = 2681 / 1760.

Now we need to add 42/99 to this result.

First, we need to find a common denominator for the two fractions. The least common multiple of 1760 and 99 is 173280.

2681 / 1760 = (2681 \* 99) / (1760 \* 99) = 265319 / 173280
42 / 99 = (42 \* 1760) / (99 \* 1760) = 74880 / 173280

Now we can add the two fractions:

265319 / 173280 + 74880 / 173280 = (265319 + 74880) / 173280 = 340199 / 173280

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

340199 / 173280 is already in its simplest form.

### Answer: 340199/173280

Expected answer: 10283/5280

Correct? No

Problem: Suppose instead of the original problem where we subtracted 52/55 from 79/32, we now subtract 7/55 from 79/32 instead. What is the new result?

Mixtral 8x22B:

 Reasoning: To calculate the new expression, we first need to find a common denominator for the two fractions. The least common multiple of 32 and 55 is 1760.

79/32 = (79 \* 55) / (32 \* 55) = 4345 / 1760
7/55 = (7 \* 32) / (55 \* 32) = 224 / 1760

Now we can subtract the two fractions:

4345 / 1760 - 224 / 1760 = (4345 - 224) / 1760 = 4121 / 1760

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

4121 / 1760 is already in its simplest form.

### Answer: 4121/1760

Expected answer: 4121/1760

Correct? Yes

Problem: After finding the result of adding 85/29 and 47/7, what is the new total if you also add 81/42?

Mixtral 8x22B:

 Reasoning: To add the third fraction, we need to find a common denominator for all three fractions. The least common multiple of 29, 7, and 42 is 203.

81/42 = (81*5)/(42*5) = 405/203

Now we can add the third fraction to the previous total:

1958/203 + 405/203 = (1958+405)/203 = 2363/203

### Answer: 2363/203

Expected answer: 4699/406

Correct? No

Problem: After calculating the result from the previous problem, consider a new situation: You have now 85/64 of a pound of oranges and 47/7 pounds of apples. What is the new total weight of your fruits in pounds?

Mixtral 8x22B:

 Reasoning: To find the new total weight of the fruits, we need to add the weight of the oranges and the weight of the apples.

85/64 pounds of oranges = 85/64
47/7 pounds of apples = 47/7

To add the two fractions, we need to find a common denominator. The least common multiple of 64 and 7 is 448.

85/64 = (85*7)/(64*7) = 595/448
47/7 = (47*64)/(7*64) = 3008/448

Now we can add the two fractions:

595/448 + 3008/448 = (595+3008)/448 = 3603/448

### Answer: 3603/448 pounds

Expected answer: 3603/448

Correct? Yes