LLemma 7B on 7.NS.A.1-decimal
Common Core Standard 7.NS.A.1-decimal
This standard covers the following:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Problem: What is the result of 24.429 - 13.777?
LLemma 7B:
10.652 ### Answer: 10.652
Expected answer: 10.6520000000000
Correct? Yes
Problem: After calculating the result of 24.429 - 13.777, subtract 4.11 from it. What is the final result?
LLemma 7B:
6.531 ### Answer: 6.531
Expected answer: 6.54200000000000
Correct? No
Problem: What is the result of 61.571 - 26.25?
LLemma 7B:
Reasoning: 61.571 - 26.25 = <<61.571-26.25=35.321>>35.321 ### Answer: 35.321
Expected answer: 35.3210000000000
Correct? Yes
Problem: If you added 62.626 to the result of subtracting 26.25 from 61.571, what new total would you get?
LLemma 7B:
Reasoning: 61.571 - 26.25 = <<61.571-26.25=35.321>>35.321 62.626 + 35.321 = <<62.626+35.321=97.947>>97.947 ### Answer: 97.947
Expected answer: 97.9470000000000
Correct? Yes
Problem: If we originally subtracted 45 from 61.571 instead of subtracting 26.25, what would be the new result?
LLemma 7B:
Reasoning: 61.571 - 45 = <<61.571-45=16.571>>16.571 ### Answer: 16.571
Expected answer: 16.5710000000000
Correct? Yes
Problem: What is 27.04 + 15.7?
LLemma 7B:
27.04 + 15.7 = <<27.04+15.7=42.7>>42.7 ### Answer: 42.7
Expected answer: 42.7400000000000
Correct? Yes
Problem: What is the sum if you add the previous total (27.04 + 15.7) to the number 27.04 again?
LLemma 7B:
27.04 + 27.04 = <<27.04+27.04=54.08>>54.08 ### Answer: 54.08
Expected answer: 69.7800000000000
Correct? No
Problem: What would the total amount be if there were originally 20 oranges instead of 27.04 and you still added 15.7 apples?
LLemma 7B:
20 + 15.7 = <<20+15.7=35.7>>35.7 ### Answer: 35.7
Expected answer: 35.7000000000000
Correct? Yes
Problem: What is the result of adding 83.93 to 13.2?
LLemma 7B:
83.93 + 13.2 = <<83.93+13.2=97.13>>97.13 ### Answer: 97.13
Expected answer: 97.1300000000000
Correct? Yes
Problem: After finding the result of adding 83.93 to 13.2, what would the new result be if you subtract 60.07 from that sum?
LLemma 7B:
97.13 - 60.07 = <<97.13-60.07=37.06>>37.06 ### Answer: 37.06
Expected answer: 37.0600000000000
Correct? Yes
Problem: After considering the result when adding 83.93 to 13.2, instead imagine if we had only 53 instead of 83.93. What would be the result of adding 13.2 and 53?
LLemma 7B:
53 + 13.2 = <<53+13.2=66.2>>66.2 ### Answer: 66.2
Expected answer: 66.2000000000000
Correct? Yes
Problem: What is 9.9 + 5.59?
LLemma 7B:
Reasoning: 9.9 + 5.59 = <<9.9+5.59=15.49>>15.49 ### Answer: 15.49
Expected answer: 15.4900000000000
Correct? Yes
Problem: If you have obtained the total from the previous calculation, what is the new total when you add it to 49.4?
LLemma 7B:
Reasoning: 15.49 + 49.4 = <<15.49+49.4=64.89>>64.89 ### Answer: 64.89
Expected answer: 64.8900000000000
Correct? Yes
Problem: In the previous question, we considered a situation where we had 9.9 and 5.59 of some quantity. But, what if originally we had 9.9 and 52 instead? What would be the total in that case?
LLemma 7B:
Reasoning: 9.9 + 52 = <<9.9+52=61.9>>61.9 ### Answer: 61.9
Expected answer: 61.9000000000000
Correct? Yes
Problem: What is the sum of 40.348 and 46.5?
LLemma 7B:
Reasoning: 40.348+46.5 = <<40.348+46.5=86.848>>86.848 ### Answer: 86.848
Expected answer: 86.8480000000000
Correct? Yes
Problem: If the sum of 40.348 and 46.5 is subtracted from 93.4, what is the result?
LLemma 7B:
Reasoning: 93.4-(40.348+46.5) = <<93.4-(40.348+46.5)=10.052>>10.052 ### Answer: 10.052
Expected answer: 6.55200000000000
Correct? No
Problem: If instead of 46.5, there were only 14, what would be the new sum when this is added to 40.348?
LLemma 7B:
Reasoning: 40.348+14 = <<40.348+14=54.348>>54.348 ### Answer: 54.348
Expected answer: 54.3480000000000
Correct? Yes
Problem: What is the result of 72.18 - 30.17?
LLemma 7B:
Reasoning: 72.18 - 30.17 = <<72.18-30.17=42>>42 ### Answer: 42
Expected answer: 42.0100000000000
Correct? Yes
Problem: If you subtract the result of 72.18 - 30.17 from 99.7, what would you get?
LLemma 7B:
Reasoning: 99.7 - (72.18 - 30.17) = <<99.7-(72.18-30.17)=27.5>>27.5 ### Answer: 27.5
Expected answer: 57.6900000000000
Correct? No
Problem: What is the sum of 42.2 and 50.8?
LLemma 7B:
Reasoning: 42.2+50.8 = <<42.2+50.8=93>>93 ### Answer: 93
Expected answer: 93.0000000000000
Correct? Yes
Problem: If you added 3.37 to the sum of 42.2 and 50.8, what would the total be?
LLemma 7B:
Reasoning: 42.2+50.8+3.37 = <<42.2+50.8+3.37=96.67>>96.67 ### Answer: 96.67
Expected answer: 96.3700000000000
Correct? No
Problem: What is the result if we add the sum of 7.225 and 28.1 to itself?
LLemma 7B:
Reasoning: 7.225+28.1 = <<7.225+28.1=35.325>>35.325 35.325+35.325 = <<35.325+35.325=70.65>>70.65 ### Answer: 70.65
Expected answer: 70.6500000000000
Correct? Yes
Problem: Suppose you have found the result of adding the sum of 7.225 and 28.1 to itself. What will be the new result if you subtract 42.8 from it?
LLemma 7B:
Reasoning: 70.65-42.8 = <<70.65-42.8=27.85>>27.85 ### Answer: 27.85
Expected answer: 27.8500000000000
Correct? Yes
Problem: Suppose in the previous scenario, instead of adding 7.225 to 28.1, we added 7.225 to 11. What would be the result if you then added that sum to itself?
LLemma 7B:
Reasoning: 7.225+11 = <<7.225+11=18.225>>18.225 18.225+18.225 = <<18.225+18.225=36.45>>36.45 ### Answer: 36.45
Expected answer: 36.4500000000000
Correct? Yes
Problem: What is the sum when you add 35.99 to 23.52?
LLemma 7B:
Reasoning: 35.99+23.52=<<35.99+23.52=59.41>>59.41 ### Answer: 59.41
Expected answer: 59.5100000000000
Correct? No
Problem: Billy has $38.6 in his wallet now. Later in the day, his mom handed him $36.5. How much will Billy have in total?
LLemma 7B:
Reasoning: Billy will have $38.6+$36.5 = <<38.6+36.5=75.1>>75.1 in total. ### Answer: 75.1
Expected answer: 75.1000000000000
Correct? Yes
Problem: Billy has $38.6 in his wallet now. Later in the day, his mom handed him $36.5. After receiving the money from his mom, Billy decided to buy a book that cost $5.3. How much will Billy have left after buying the book?
LLemma 7B:
Reasoning: Billy will have $38.6+$36.5-$5.3 = <<38.6+36.5-5.3=74.8>>74.8 left after buying the book. ### Answer: 74.8
Expected answer: 69.8000000000000
Correct? No
Problem: Billy originally had $25 in his wallet instead of $38.6. If his mom still gave him $36.5, how much would he have in total then?
LLemma 7B:
Reasoning: Billy would have $25+$36.5 = <<25+36.5=61.5>>61.5 in total. ### Answer: 61.5
Expected answer: 61.5000000000000
Correct? Yes
Problem: Add 21.3 and 9.07 together. Then, add the result to 20.37. What is the final result?
LLemma 7B:
Reasoning: 21.3+9.07 = <<21.3+9.07=30.37>>30.37 30.37+20.37 = <<30.37+20.37=50.74>>50.74 ### Answer: 50.74
Expected answer: 50.7400000000000
Correct? Yes
Problem: After adding 21.3 and 9.07 together, and then adding the result to 20.37, you get a final result. Now, subtract the first result (sum of 21.3 and 9.07) from the final result. What is the new outcome?
LLemma 7B:
Reasoning: 50.74-30.37 = <<50.74-30.37=20.37>>20.37 ### Answer: 20.37
Expected answer: 20.3700000000000
Correct? Yes
Problem: Initially, you added 21.3 and 9.07 together, and then added the result to 20.37. Now, instead of 9.07, consider what happens if you had 17 instead. Add 21.3 and 17 together, then add this result to 20.37. What is the final result now?
LLemma 7B:
Reasoning: 21.3+17 = <<21.3+17=38.3>>38.3 38.3+20.37 = <<38.3+20.37=58.67>>58.67 ### Answer: 58.67
Expected answer: 58.6700000000000
Correct? Yes
Problem: Calculate the difference between 68.9 and 38.036.
LLemma 7B:
Reasoning: 68.9 - 38.036 = <<68.9-38.036=30.864>>30.864 ### Answer: 30.864
Expected answer: 30.8640000000000
Correct? Yes
Problem: In accordance to the previous question where you calculated the difference between 68.9 and 38.036, what would be the result if you added this difference to itself?
LLemma 7B:
Reasoning: 30.864 + 30.864 = <<30.864+30.864=61.728>>61.728 ### Answer: 61.728
Expected answer: 61.7280000000000
Correct? Yes
Problem: Previously, you calculated the difference between 68.9 and 38.036. This time, consider a situation where instead of 68.9, you have 61. What would the new difference be if you subtract 38.036 from 61?
LLemma 7B:
Reasoning: 61 - 38.036 = <<61-38.036=22.964>>22.964 ### Answer: 22.964
Expected answer: 22.9640000000000
Correct? Yes
Problem: First calculate the result of 80.859 - 13.076. Then, add this result to 1.836. What is the final sum?
LLemma 7B:
Reasoning: 80.859 - 13.076 = <<80.859-13.076=67.783>>67.783 67.783 + 1.836 = <<67.783+1.836=69.619>>69.619 ### Answer: 69.619
Expected answer: 69.6190000000000
Correct? Yes
Problem: First calculate the result of 80.859 - 13.076. Then, add this result to 1.836. Now take the sum you obtained and subtract it by 5.4. What is the final result?
LLemma 7B:
Reasoning: 80.859 - 13.076 = <<80.859-13.076=67.783>>67.783 67.783 + 1.836 = <<67.783+1.836=69.619>>69.619 69.619 - 5.4 = <<69.619-5.4=64.219>>64.219 ### Answer: 64.219
Expected answer: 64.2190000000000
Correct? Yes
Problem: First calculate the result of subtracting 13.076 from 27. Then, add this result to 1.836. What is the new sum if you start with 27 instead of 80.859 as in the previous problem?
LLemma 7B:
Reasoning: 27 - 13.076 = <<27-13.076=13.924>>13.924 13.924 + 1.836 = <<13.924+1.836=15.76>>15.76 ### Answer: 15.76
Expected answer: 15.7600000000000
Correct? Yes
Problem: Calculate the sum of 18.8 and 27.96.
LLemma 7B:
Reasoning: 18.8+27.96 = <<18.8+27.96=46.76>>46.76 ### Answer: 46.76
Expected answer: 46.7600000000000
Correct? Yes
Problem: If you have already calculated the sum of 18.8 and 27.96, what would the new total be if you added an additional 50.3 to it?
LLemma 7B:
Reasoning: 46.76+50.3 = <<46.76+50.3=96.06>>96.06 ### Answer: 96.06
Expected answer: 97.0600000000000
Correct? No
Problem: If you initially had 18.8 gallons of water instead of 27.96, and you added 4 more gallons to it, how much total would you have?
LLemma 7B:
Reasoning: 18.8+4 = <<18.8+4=22.8>>22.8 You would have 22.8 gallons of water. ### Answer: 22.8
Expected answer: 22.8000000000000
Correct? Yes
Problem: What is the result when 1.25 is subtracted from 67.9?
LLemma 7B:
Reasoning: 67.9 - 1.25 = <<67.9-1.25=66.65>>66.65 ### Answer: 66.65
Expected answer: 66.6500000000000
Correct? Yes
Problem: After you have found the result of subtracting 1.25 from 67.9, subtract that result from 68.29. What is the new result?
LLemma 7B:
Reasoning: 68.29 - (67.9 - 1.25) = <<68.29-(67.9-1.25)=1.34>>1.34 ### Answer: 1.34
Expected answer: 1.64000000000000
Correct? No
Problem: Previously, we subtracted 1.25 from 67.9. But what if instead of 67.9, we started with 83? What is 83 - 1.25?
LLemma 7B:
Reasoning: 83 - 1.25 = <<83-1.25=81.75>>81.75 ### Answer: 81.75
Expected answer: 81.7500000000000
Correct? Yes
Problem: Calculate the sum of 15.974 and 41.69.
LLemma 7B:
Reasoning: 15.974+41.69=<<15.974+41.69=57.664>>57.664 ### Answer: 57.664
Expected answer: 57.6640000000000
Correct? Yes
Problem: You previously calculated the sum of 15.974 and 41.69. Now subtract 38.3 from your previous answer, what do you get?
LLemma 7B:
Reasoning: 57.664-38.3=<<57.664-38.3=19.364>>19.364 ### Answer: 19.364
Expected answer: 19.3640000000000
Correct? Yes
Problem: In the previous problem, we added 15.974 and 41.69. Now consider if we had started with 49 instead of 15.974. What would be the sum of 49 and 41.69?
LLemma 7B:
Reasoning: 49+41.69=<<49+41.69=90.69>>90.69 ### Answer: 90.69
Expected answer: 90.6900000000000
Correct? Yes
Problem: What is the sum of 55.604 and 12.85?
LLemma 7B:
Reasoning: 55.604+12.85 = <<55.604+12.85=68.454>>68.454 ### Answer: 68.454
Expected answer: 68.4540000000000
Correct? Yes
Problem: After finding the sum of 55.604 and 12.85, subtract 15.2 from the result. What is the final result?
LLemma 7B:
Reasoning: 68.454-15.2 = <<68.454-15.2=53.254>>53.254 ### Answer: 53.254
Expected answer: 53.2540000000000
Correct? Yes
Problem: After considering the previous problem, now think about this: If we originally had 17 instead of 55.604, what would be the new sum when adding 12.85?
LLemma 7B:
Reasoning: 17+12.85 = <<17+12.85=29.85>>29.85 ### Answer: 29.85
Expected answer: 29.8500000000000
Correct? Yes
Problem: What is the sum of 46.5 and 29.96?
LLemma 7B:
Reasoning: 46.5+29.96 = <<46.5+29.96=76.46>>76.46 ### Answer: 76.46
Expected answer: 76.4600000000000
Correct? Yes
Problem: If 46.5 and 29.96 are added together, what will the value be if 4.4 is then added to the result?
LLemma 7B:
Reasoning: 46.5+29.96+4.4 = <<46.5+29.96+4.4=76.46+4.4=80.86>>80.86 ### Answer: 80.86
Expected answer: 80.8600000000000
Correct? Yes
Problem: In the previous question, you added a certain number of Apples and Oranges together. If you revisit that scenario but this time you have 46.5 Apples and 37 Oranges instead, what would be the new total count?
LLemma 7B:
Reasoning: 46.5+37 = <<46.5+37=83.5>>83.5 ### Answer: 83.5
Expected answer: 83.5000000000000
Correct? Yes
Problem: What is the result of 13.6 - 12.0?
LLemma 7B:
13.6 - 12.0 = <<13.6-12.0=1.6>>1.6 ### Answer: 1.6
Expected answer: 1.60000000000000
Correct? Yes
Problem: After calculating 13.6 - 12.0, add the result to 14.4. What is the new total?
LLemma 7B:
14.4 + 1.6 = <<14.4+1.6=16>>16 ### Answer: 16
Expected answer: 16.0000000000000
Correct? Yes
Problem: After initially starting with 97 marbles, you give away 12.0 of them. How many marbles do you have left now?
LLemma 7B:
97 - 12.0 = <<97-12.0=85>>85 ### Answer: 85
Expected answer: 85.0000000000000
Correct? Yes
Problem: Calculate 59.1 - 57.757.
LLemma 7B:
59.1 - 57.757 = <<59.1-57.757=1.343>>1.343
Expected answer: 1.34300000000000
Correct? Yes
Problem: After calculating 59.1 - 57.757 from the previous problem, if you subtract this result from 32.5, what would be the outcome?
LLemma 7B:
32.5 - 1.343 = <<32.5-1.343=31.157>>31.157
Expected answer: 31.1570000000000
Correct? No
Problem: Let's go back to our previous problem. Instead of subtracting 16 from 59.1, what if we subtracted 16 from 59.1? What would be the new outcome?
LLemma 7B:
59.1 - 16 = <<59.1-16=43.1>>43.1
Expected answer: 43.1000000000000
Correct? No
Problem: What is the sum of 18.838 and 41.82?
LLemma 7B:
Reasoning: 18.838+41.82 = <<18.838+41.82=50.66>>50.66 ### Answer: 50.66
Expected answer: 60.6580000000000
Correct? No
Problem: What is the sum of 4.508 and 3.253?
LLemma 7B:
Reasoning: 4.508 + 3.253 = <<4.508+3.253=7.761>>7.761 ### Answer: 7.761
Expected answer: 7.76100000000000
Correct? Yes
Problem: What is the result if you take the sum of 4.508 and 3.253 from our last problem and then add 65.0 to it?
LLemma 7B:
Reasoning: 7.761 + 65.0 = <<7.761+65.0=72.761>>72.761 ### Answer: 72.761
Expected answer: 72.7610000000000
Correct? Yes
Problem: What is the sum of 26.7 and 50.713?
LLemma 7B:
Reasoning: 26.7+50.713 = <<26.7+50.713=77.413>>77.413 ### Answer: 77.413
Expected answer: 77.4130000000000
Correct? Yes
Problem: If you have $92.16, how much money will you have left after adding together 26.7 and 50.713 and subtracting the result from your original amount?
LLemma 7B:
Reasoning: 26.7+50.713 = <<26.7+50.713=77.413>>77.413 92.16-77.413 = <<92.16-77.413=14.747>>14.747 ### Answer: 14.747
Expected answer: 14.7470000000000
Correct? Yes
Problem: In the previous scenario, imagine you initially had 26.7 dollars. Instead of adding 50.713 dollars as before, this time you add 17 dollars. How much money will you have now?
LLemma 7B:
Reasoning: 26.7+17 = <<26.7+17=43.7>>43.7 ### Answer: 43.7
Expected answer: 43.7000000000000
Correct? Yes
Problem: If you have $99.44 and you spend $90.3, how much money do you have left?
LLemma 7B:
Reasoning: You have $99.44 - $90.3 = <<99.44-90.3=9.14>>9.14 left. ### Answer: 9.14
Expected answer: 9.14000000000000
Correct? Yes
Problem: If after spending $90.3 from $99.44, you then go on to spend the remaining amount on a game console which costs $43.208. How much would you still need to pay for the game console?
LLemma 7B:
Reasoning: You have $99.44 - $90.3 = <<99.44-90.3=9.14>>9.14 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 = <<9.14-43.208= -34.064>>-34.064 left. You have $9.14 - $43.208 =
Expected answer: 34.0680000000000
Correct? No
Problem: If instead of spending $90.3, you only spent $20 from the original $99.44, how much money would you then have left?
LLemma 7B:
Reasoning: You have $99.44 - $20 = <<99.44-20=79.44>>79.44 left. ### Answer: 79.44
Expected answer: 79.4400000000000
Correct? Yes
Problem: What is the result of subtracting 5.2 from 73.195?
LLemma 7B:
67.995 ### Answer: 67.995
Expected answer: 67.9950000000000
Correct? Yes
Problem: If you subtract 25.91 from the result of subtracting 5.2 from 73.195, what is the final value?
LLemma 7B:
67.995 ### Answer: 67.995
Expected answer: 42.0850000000000
Correct? No
Problem: If you originally had 43 instead of 73.195 and you subtracted 5.2 from it, what would be the result?
LLemma 7B:
38.095 ### Answer: 38.095
Expected answer: 37.8000000000000
Correct? No
Problem: What is the result of 90.43 - 51.59?
LLemma 7B:
Reasoning: 90.43 - 51.59 = <<90.43-51.59=38.84>>38.84 ### Answer: 38.84
Expected answer: 38.8400000000000
Correct? Yes
Problem: In the previous scenario, if the person originally had $90.43 and then instead of spending $51.59, they spent just $7, how much money would they have left?
LLemma 7B:
Reasoning: 90.43 - 7 = <<90.43-7=83.43>>83.43 ### Answer: 83.43
Expected answer: 83.4300000000000
Correct? Yes
Problem: First find the result of 83.37 - 17.594. Then subtract that result from 91.7. What's the answer?
LLemma 7B:
Reasoning: 83.37 - 17.594 = <<83.37-17.594=65.776>>65.776 91.7 - 65.776 = <<91.7-65.776=25.924>>25.924 ### Answer: 25.924
Expected answer: 25.9240000000000
Correct? Yes
Problem: You found the result of 91.7 - (83.37 - 17.594) in the previous problem. Now, subtract your previous answer from 53.3. What is the result?
LLemma 7B:
Reasoning: 53.3 - 25.924 = <<53.3-25.924=27.376>>27.376 ### Answer: 27.376
Expected answer: 27.3760000000000
Correct? Yes
Problem: Previously, you found the result of 91.7 - (83.37 - 17.594). Now consider what would happen if instead of subtracting 17.594 from 83.37, we subtracted 62. What would be the result when you subtract this new number from 91.7?
LLemma 7B:
Reasoning: 91.7 - 62 = <<91.7-62=29.7>>29.7 ### Answer: 29.7
Expected answer: 70.3300000000000
Correct? No
Problem: Find the result of 7.5 + 19.56.
LLemma 7B:
7.5 + 19.56 = <<7.5+19.56=27.06>>27.06 ### Answer: 27.06
Expected answer: 27.0600000000000
Correct? Yes
Problem: After finding the result of 7.5 + 19.56, what do you get if you add 37.543 to the outcome?
LLemma 7B:
27.06 + 37.543 = <<27.06+37.543=64.503>>64.503 ### Answer: 64.503
Expected answer: 64.6030000000000
Correct? No
Problem: If a zoo has 12.455 kilometers of walking paths and they plan to add another 30.7 kilometers of walking paths, what will the total length of the walking paths be after the addition?
LLemma 7B:
Reasoning: 12.455+30.7 = <<12.455+30.7=42.155>>42.155 kilometers of walking paths. ### Answer: 42.155
Expected answer: 43.1550000000000
Correct? No
Problem: What is the result when you subtract 3.42 from 47.434?
LLemma 7B:
47.434 - 3.42 = <<47.434-3.42=44.014>>44.014 ### Answer: 44.014
Expected answer: 44.0140000000000
Correct? Yes
Problem: In the previous problem, we subtracted 3.42 from 47.434. Now, suppose we subtract 3.42 from 57 instead. What is the result?
LLemma 7B:
57 - 3.42 = <<57-3.42=53.58>>53.58 ### Answer: 53.58
Expected answer: 53.5800000000000
Correct? Yes
Problem: What is the sum of 25.38 and 69.555?
LLemma 7B:
Reasoning: 25.38+69.555 = <<25.38+69.555=94.935>>94.935 ### Answer: 94.935
Expected answer: 94.9350000000000
Correct? Yes
Problem: After finding the sum of 25.38 and 69.555, subtract 19.923 from that sum. What value do you get?
LLemma 7B:
Reasoning: 94.935-19.923 = <<94.935-19.923=74.912>>74.912 ### Answer: 74.912
Expected answer: 75.0120000000000
Correct? No
Problem: Instead of adding 25.38 and 69.555 in the previous problem, suppose you added 15 to 69.555. What would be the new sum?
LLemma 7B:
Reasoning: 15+69.555 = <<15+69.555=84.555>>84.555 ### Answer: 84.555
Expected answer: 84.5550000000000
Correct? Yes
Problem: Calculate the sum of 72.92 and 13.94.
LLemma 7B:
Reasoning: 72.92+13.94 = <<72.92+13.94=86.86>>86.86 ### Answer: 86.86
Expected answer: 86.8600000000000
Correct? Yes
Problem: If the sum of 72.92 and 13.94 is subtracted by 13.94, what is the resulting value?
LLemma 7B:
Reasoning: 86.86-13.94 = <<86.86-13.94=72.92>>72.92 ### Answer: 72.92
Expected answer: 72.9200000000000
Correct? Yes
Problem: If instead of 72.92, there were only 52 to begin with, what would be the new sum when combined with 13.94?
LLemma 7B:
Reasoning: 52+13.94 = <<52+13.94=65.94>>65.94 ### Answer: 65.94
Expected answer: 65.9400000000000
Correct? Yes
Problem: What is the result of subtracting 20.923 from 98.5?
LLemma 7B:
98.5 - 20.923 = <<98.5-20.923=77.577>>77.577 ### Answer: 77.577
Expected answer: 77.5770000000000
Correct? Yes
Problem: What is the result of 97.1 minus the difference between 43.5 and 11.61?
LLemma 7B:
Reasoning: 43.5 - 11.61 = <<43.5-11.61=31.89>>31.89 97.1 - 31.89 = <<97.1-31.89=65.21>>65.21 ### Answer: 65.21
Expected answer: 65.2100000000000
Correct? Yes
Problem: The result that you obtained, subtract 58.27 from it. What is the final output now?
LLemma 7B:
Reasoning: 65.21 - 58.27 = <<65.21-58.27=6.94>>6.94 ### Answer: 6.94
Expected answer: 6.94000000000000
Correct? Yes
Problem: Considering the previous problem, imagine that initially instead of 43.5, there were 26 units. Now, subtract the difference between 26 and 11.61 from 97.1. What value will you get?
LLemma 7B:
Reasoning: 26 - 11.61 = <<26-11.61=14.39>>14.39 97.1 - 14.39 = <<97.1-14.39=82.71>>82.71 ### Answer: 82.71
Expected answer: 82.7100000000000
Correct? Yes
Problem: Start with the number 97.75. Subtract 48.6 from that number. Take the result and add it to itself. What do you get?
LLemma 7B:
Reasoning: 97.75 - 48.6 = <<97.75-48.6=49.15>>49.15 49.15 + 49.15 = <<49.15+49.15=98.3>>98.3 ### Answer: 98.3
Expected answer: 98.3000000000000
Correct? Yes
Problem: Continuing from the previous problem, now take your final result and subtract 81.18 from it. What is the new result?
LLemma 7B:
Reasoning: 98.3 - 81.18 = <<98.3-81.18=17.12>>17.12 ### Answer: 17.12
Expected answer: 17.1200000000000
Correct? Yes
Problem: We started with the number 97.75 and subtracted 48.6, then added the result to itself. Now assume we did a mistake in the original subtraction and we should have subtracted 92 instead of 48.6 from 97.75, then added the result to itself. What would the new result be?
LLemma 7B:
Reasoning: 97.75 - 92 = <<97.75-92=5.75>>5.75 5.75 + 5.75 = <<5.75+5.75=11.5>>11.5 ### Answer: 11.5
Expected answer: 11.5000000000000
Correct? Yes
Problem: Begin by adding 6.42 and 24.14 together. With the sum from this operation, subtract 6.183 from it. What do you get?
LLemma 7B:
Reasoning: 6.42+24.14=<<6.42+24.14=30.56>>30.56 30.56-6.183=<<30.56-6.183=24.377>>24.377 ### Answer: 24.377
Expected answer: 24.3770000000000
Correct? Yes
Problem: On top of the previous operation, now take the result you found and subtract it from 94.327. What value do you get after this operation?
LLemma 7B:
Reasoning: 94.327-24.377=<<94.327-24.377=69.950>>69.950 ### Answer: 69.950
Expected answer: 69.9500000000000
Correct? Yes
Problem: Suppose that originally, you added 6.42 and 49 instead of 24.14. With this new sum, if you subtract 6.183 from it, what value do you get?
LLemma 7B:
Reasoning: 6.42+49=<<6.42+49=55.42>>55.42 55.42-6.183=<<55.42-6.183=49.237>>49.237 ### Answer: 49.237
Expected answer: 49.2370000000000
Correct? Yes
Problem: What is the result when you add 2.3 to 90.917?
LLemma 7B:
90.917+2.3=<<90.917+2.3=93.217>> ### Answer: 93.217
Expected answer: 93.2170000000000
Correct? Yes
Problem: After you have added 2.3 to 90.917, what would be the result if you then subtract 34.7 from the sum?
LLemma 7B:
93.217-34.7=<<93.217-34.7=58.517>> ### Answer: 58.517
Expected answer: 58.5170000000000
Correct? Yes
Problem: In the previous situation, we added 2.3 to 90.917. But suppose we originally had added 2.3 to 80 instead of 90.917, what would be the result then?
LLemma 7B:
80+2.3=<<80+2.3=82.3>> ### Answer: 82.3
Expected answer: 82.3000000000000
Correct? Yes
Problem: Calculate the sum of 35.512 and 49.926.
LLemma 7B:
35.512 + 49.926 = <<35.512+49.926=85.438>>85.438 ### Answer: 85.438
Expected answer: 85.4380000000000
Correct? Yes
Problem: After finding the sum of 35.512 and 49.926, subtract it from 89.5. What is the result?
LLemma 7B:
89.5 - 85.438 = <<89.5-85.438=3.062>>3.062 ### Answer: 3.062
Expected answer: 4.06200000000000
Correct? No
Problem: If instead of 35.512, you had 42, how would the sum change when you add it to 49.926?
LLemma 7B:
42 + 49.926 = <<42+49.926=92.926>>92.926 ### Answer: 92.926
Expected answer: 91.9260000000000
Correct? No
Problem: What is the result of the subtraction 47.42 - 24.567?
LLemma 7B:
Reasoning: 47.42 - 24.567 = <<47.42-24.567=22.853>>22.853 ### Answer: 22.853
Expected answer: 22.8530000000000
Correct? Yes
Problem: Suppose instead of starting with $47.42, you had $54. How much would you have left if you spend $24.567?
LLemma 7B:
Reasoning: 54 - 24.567 = <<54-24.567=29.433>>29.433 ### Answer: 29.433
Expected answer: 29.4330000000000
Correct? Yes
Problem: If the weight of a watermelon is 99.2 kg and after eating some part of it, the weight becomes 62.1 kg. What would be the total weight if you had two such eaten watermelons?
LLemma 7B:
Reasoning: 99.2-62.1=<<99.2-62.1=37.1>>37.1 kg The total weight of two eaten watermelons is 37.1+37.1=<<37.1+37.1=74.2>>74.2 kg ### Answer: 74.2
Expected answer: 74.2000000000000
Correct? Yes
Problem: Continuing from the previous problem: If the weight of a watermelon is 99.2 kg and after eating some part of it, the weight becomes 62.1 kg, you would have a certain weight after having two such eaten watermelons. Now, what if you further eat 27.9 kg from the combined eaten watermelons? What would be the remaining total weight?
LLemma 7B:
Reasoning: 74.2-27.9=<<74.2-27.9=46.3>>46.3 kg The remaining total weight is 46.3 kg ### Answer: 46.3
Expected answer: 46.3000000000000
Correct? Yes
Problem: Continuing from the original scenario, imagine instead that each watermelon initially weighed 70 kg. After eating a portion of them, their weight dropped to 62.1 kg each. What would be the total weight if you had two such partially eaten watermelons?
LLemma 7B:
Reasoning: 70-62.1=<<70-62.1=7.9>>7.9 kg The total weight of two partially eaten watermelons is 7.9+7.9=<<7.9+7.9=15.8>>15.8 kg ### Answer: 15.8
Expected answer: 15.8000000000000
Correct? Yes
Problem: If e is equal to 22.7, what is the sum of e and 2.177?
LLemma 7B:
Reasoning: e + 2.177 = <<22.7+2.177=24.877>>24.877 ### Answer: 24.877
Expected answer: 24.8770000000000
Correct? Yes
Problem: Continuing from the previous problem, after finding the sum of e and 2.177, what do you get if you subtract 3.478 from that sum?
LLemma 7B:
Reasoning: 24.877 - 3.478 = <<24.877-3.478=21.399>>21.399 ### Answer: 21.399
Expected answer: 21.3990000000000
Correct? Yes
Problem: Suppose we had originally started with 56 instead of 22.7. What would be the new total if you added 2.177 to 56?
LLemma 7B:
Reasoning: 56 + 2.177 = <<56+2.177=58.177>>58.177 ### Answer: 58.177
Expected answer: 58.1770000000000
Correct? Yes
Problem: What is the sum of 20.09 and 74.413?
LLemma 7B:
Reasoning: 20.09+74.413 = <<20.09+74.413=94.503>>94.503 ### Answer: 94.503
Expected answer: 94.5030000000000
Correct? Yes
Problem: Using the result from the previous addition, subtract 66.13 from the sum of 20.09 and 74.413. What do you get?
LLemma 7B:
Reasoning: 94.503-66.13 = <<94.503-66.13=28.37>>28.37 ### Answer: 28.37
Expected answer: 28.3730000000000
Correct? Yes
Problem: The previous problem was about the sum of 20.09 and 74.413. But, what would be the sum if originally, we had 11 instead of 74.413? In other words, what is the sum of 20.09 and 11?
LLemma 7B:
Reasoning: 20.09+11 = <<20.09+11=31.09>>31.09 ### Answer: 31.09
Expected answer: 31.0900000000000
Correct? Yes
Problem: If you have $49.028 and someone gives you the same amount, how much will you have in total?
LLemma 7B:
Reasoning: You will have$49.028 + $49.028 =$98.056. ### Answer: $98.056
Expected answer: 98.0560000000000
Correct? Yes
Problem: Instead of receiving $49.028, suppose you were initially given $37. If the amount is doubled, how much money will you have?
LLemma 7B:
Reasoning: You will have $37 + $37 = $74. ### Answer: $74
Expected answer: 74
Correct? Yes
Problem: What is the sum of 43.97 and 6.0?
LLemma 7B:
Reasoning: 43.97+6.0 = <<43.97+6.0=49.97>>49.97 ### Answer: 49.97
Expected answer: 49.9700000000000
Correct? Yes
Problem: After finding the sum of 43.97 and 6.0, add 24.656 to the result. What is the final sum?
LLemma 7B:
Reasoning: 43.97+6.0+24.656 = <<43.97+6.0+24.656=74.626>>74.626 ### Answer: 74.626
Expected answer: 74.6260000000000
Correct? Yes
Problem: Suppose we initially had 47 instead of 43.97. If we add 6.0 to 47, what would we get?
LLemma 7B:
Reasoning: 47+6.0 = <<47+6.0=53>>53 ### Answer: 53
Expected answer: 53.0000000000000
Correct? Yes
Problem: If the difference between 75.454 and 1.6 is added to 20.87, what is the resulting sum?
LLemma 7B:
Reasoning: 75.454 - 1.6 = <<75.454-1.6=73.854>>73.854 73.854 + 20.87 = <<73.854+20.87=94.724>>94.724 ### Answer: 94.724
Expected answer: 94.7240000000000
Correct? Yes
Problem: After obtaining the sum by adding the difference between 75.454 and 1.6 to 20.87, what would you get if you then subtract 64.651 from this sum?
LLemma 7B:
Reasoning: 94.724 - 64.651 = <<94.724-64.651=30.073>>30.073 ### Answer: 30.073
Expected answer: 30.0730000000000
Correct? Yes
Problem: In the previous calculation, instead of subtracting 1.6 from 75.454, what if you subtracted 39? Then, like before, add 20.87 to this result. What would be the new resulting sum?
LLemma 7B:
Reasoning: 75.454 - 39 = <<75.454-39=36.454>>36.454 36.454 + 20.87 = <<36.454+20.87=57.324>>57.324 ### Answer: 57.324
Expected answer: 57.3240000000000
Correct? Yes
Problem: From a total of 54.7 kilograms, 5.6 kilograms of goods were sold. How many kilograms are left?
LLemma 7B:
Reasoning: 54.7-5.6=<<54.7-5.6=49.1>>49.1 kilograms are left. ### Answer: 49.1
Expected answer: 49.1000000000000
Correct? Yes
Problem: After selling 5.6 kilograms of goods from a 54.7 kg total, the store received an additional shipment of 5.0 kilograms. How many kilograms do they have after receiving the new shipment?
LLemma 7B:
Reasoning: 54.7+5.0=<<54.7+5.0=59.7>>59.7 kilograms do they have after receiving the new shipment. ### Answer: 59.7
Expected answer: 54.1000000000000
Correct? No
Problem: Originally, the store had 77 kilograms of goods instead of 54.7 kilograms. If they sold 5.6 kilograms of goods from this new total, how many kilograms of goods are left in the store?
LLemma 7B:
Reasoning: 77-5.6=<<77-5.6=71.4>>71.4 kilograms of goods are left in the store. ### Answer: 71.4
Expected answer: 71.4000000000000
Correct? Yes
Problem: Determine the value of the expression: (25.767 + 32.8) - 45.85.
LLemma 7B:
25.767 + 32.8 = <<25.767+32.8=58.567>>58.567 58.567 - 45.85 = <<58.567-45.85=12.717>>12.717 ### Answer: 12.717
Expected answer: 12.7170000000000
Correct? Yes
Problem: If you had an additional 3.861 to add to the previous calculation, what would the new value of (25.767 + 32.8 - 45.85 + 3.861) be?
LLemma 7B:
25.767 + 32.8 = <<25.767+32.8=58.567>>58.567 58.567 - 45.85 = <<58.567-45.85=12.717>>12.717 12.717 + 3.861 = <<12.717+3.861=16.578>>16.578 ### Answer: 16.578
Expected answer: 16.5780000000000
Correct? Yes
Problem: If instead of 32.8, you had 63 to add to 25.767 initially, what would the new result of (25.767 + 63 - 45.85) be?
LLemma 7B:
25.767 + 63 = <<25.767+63=88.767>>88.767 88.767 - 45.85 = <<88.767-45.85=42.917>>42.917 ### Answer: 42.917
Expected answer: 42.9170000000000
Correct? Yes
Problem: What is the result of adding 29.4 and 62.318?
LLemma 7B:
Reasoning: 29.4 + 62.318 = <<29.4+62.318=91.718>>91.718 ### Answer: 91.718
Expected answer: 91.7180000000000
Correct? Yes
Problem: If you subtracted 77.7 from the previous result (29.4 + 62.318), what would the new result be?
LLemma 7B:
Reasoning: 91.718 - 77.7 = <<91.718-77.7=14.018>>14.018 ### Answer: 14.018
Expected answer: 14.0180000000000
Correct? Yes
Problem: Suppose we had started initially with 30 instead of 29.4 in our previous problem. What would be the result if we added 30 and 62.318?
LLemma 7B:
Reasoning: 30 + 62.318 = <<30+62.318=92.318>>92.318 ### Answer: 92.318
Expected answer: 92.3180000000000
Correct? Yes
Problem: What is the sum of 69.17 and 27.984?
LLemma 7B:
Reasoning: 69.17+27.984 = <<69.17+27.984=97.154>>97.154 ### Answer: 97.154
Expected answer: 97.1540000000000
Correct? Yes
Problem: If you subtract 23.17 from the sum of 69.17 and 27.984, what will be the new result?
LLemma 7B:
Reasoning: 69.17+27.984-23.17 = <<69.17+27.984-23.17=97.154-23.17=74.004>>74.004 ### Answer: 74.004
Expected answer: 73.9840000000000
Correct? No
Problem: If you start with 10.144 and then add 63.5 to it, what is the result?
LLemma 7B:
Reasoning: 10.144 + 63.5 = <<10.144+63.5=73.644>>73.644 ### Answer: 73.644
Expected answer: 73.6440000000000
Correct? Yes
Problem: Let's say you have the previous result and you subtract 1.027 from it. What do you end up with?
LLemma 7B:
Reasoning: 73.644 - 1.027 = <<73.644-1.027=72.617>>72.617 ### Answer: 72.617
Expected answer: 72.6170000000000
Correct? Yes
Problem: Imagine in the previous scenario, you initially started with 10.144, but this time, instead of adding 63.5, you only add 15 to it. What would be the new result?
LLemma 7B:
Reasoning: 10.144 + 15 = <<10.144+15=25.144>>25.144 ### Answer: 25.144
Expected answer: 25.1440000000000
Correct? Yes
Problem: If you have $75.71 and you spend $65.5, how much money do you have left?
LLemma 7B:
Reasoning: You have $75.71 - $65.5 = <<75.71-65.5=10.21>>$10.21 left. ### Answer: $10.21
Expected answer: 10.2100000000000
Correct? Yes
Problem: What is 84.275 - 46.81?
LLemma 7B:
Reasoning: 84.275 - 46.81 = <<84.275-46.81=37.465>>37.465 ### Answer: 37.465
Expected answer: 37.4650000000000
Correct? Yes
Problem: After calculating 84.275 - 46.81, subtract 5.32 from the result. What is your final answer?
LLemma 7B:
Reasoning: 37.465 - 5.32 = <<37.465-5.32=32.145>>32.145 ### Answer: 32.145
Expected answer: 32.1450000000000
Correct? Yes
Problem: Now, instead of starting with 84.275, you start with 33 from the previous problem. What is the result of 84.275 - 33?
LLemma 7B:
Reasoning: 84.275 - 33 = <<84.275-33=51.275>>51.275 ### Answer: 51.275
Expected answer: 51.2750000000000
Correct? Yes
Problem: What is the answer of 54.669 - 25.08?
LLemma 7B:
Reasoning: 54.669 - 25.08 = <<54.669-25.08=29.581>>29.581 ### Answer: 29.581
Expected answer: 29.5890000000000
Correct? Yes
Problem: After solving the problem 54.669 - 25.08 in the previous question, what would be the result if you add 22.38 to your answer?
LLemma 7B:
Reasoning: 29.581 + 22.38 = <<29.581+22.38=51.961>>51.961 ### Answer: 51.961
Expected answer: 51.9690000000000
Correct? Yes
Problem: Suppose in the previous problem, there were actually 76, not 54.669. So, what would be the result if you subtract 25.08 from 76?
LLemma 7B:
Reasoning: 76 - 25.08 = <<76-25.08=49.92>>49.92 ### Answer: 49.92
Expected answer: 50.9200000000000
Correct? No
Problem: What is the result of 96.0 - 48.3?
LLemma 7B:
Reasoning: 96.0 - 48.3 = <<96.0-48.3=47.7>>47.7 ### Answer: 47.7
Expected answer: 47.7000000000000
Correct? Yes
Problem: If you added 16.14 to the result of 96.0 - 48.3, what new total would you get?
LLemma 7B:
Reasoning: 96.0 - 48.3 + 16.14 = <<96.0-48.3+16.14=100.84>>100.84 ### Answer: 100.84
Expected answer: 63.8400000000000
Correct? No
Problem: If you initially had 69 instead of 96.0 in the subtraction problem, and you subtracted 48.3, what would be the new result?
LLemma 7B:
Reasoning: 69 - 48.3 = <<69-48.3=20.7>>20.7 ### Answer: 20.7
Expected answer: 20.7000000000000
Correct? Yes
Problem: If you have $1.64, how much would you have if you duplicated it?
LLemma 7B:
Reasoning: You would have 1.64*2 = <<1.64*2=3.28>>3.28. ### Answer: 3.28
Expected answer: 3.28000000000000
Correct? Yes
Problem: If you have $1.64, and you duplicate it, how much more money would you need to have a total of $68.2?
LLemma 7B:
Reasoning: You would need 68.2-3.28 = <<68.2-3.28=64.92>>64.92. ### Answer: 64.92
Expected answer: 64.9200000000000
Correct? Yes
Problem: If instead of $1.64, you originally had $34, how much would you end up with if you duplicated that amount?
LLemma 7B:
Reasoning: You would have 34*2 = <<34*2=68>>68. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: First, add 7.8 and 13.7 together. Then, add the result to 51.029. What is the final sum?
LLemma 7B:
Reasoning: 7.8+13.7 = <<7.8+13.7=21.5>>21.5 21.5+51.029 = <<21.5+51.029=72.529>>72.529 ### Answer: 72.529
Expected answer: 72.5290000000000
Correct? Yes
Problem: First, you added 7.8 and 13.7 together. Then, you added the result to 51.029. Now, add the results of both of these operations together. What is the final answer?
LLemma 7B:
Reasoning: 7.8+13.7 = <<7.8+13.7=21.5>>21.5 21.5+51.029 = <<21.5+51.029=72.529>>72.529 72.529+21.5 = <<72.529+21.5=94.029>>94.029 ### Answer: 94.029
Expected answer: 94.0290000000000
Correct? Yes
Problem: First, you added 7.8 and 13.7 together, then you added the result to 51.029. Now, imagine you actually had 27 instead of 13.7. How would the final result change if you added 7.8 and 27 together, and then added that sum to 51.029?
LLemma 7B:
Reasoning: 7.8+27 = <<7.8+27=34.8>>34.8 34.8+51.029 = <<34.8+51.029=85.829>>85.829 ### Answer: 85.829
Expected answer: 85.8290000000000
Correct? Yes
Problem: Calculate 58.718 - 51.57.
LLemma 7B:
58.718 - 51.57 = <<58.718-51.57=7.14>>7.14
Expected answer: 7.14800000000000
Correct? Yes
Problem: If you subtract the result of 58.718 - 51.57 from 18.02, what do you get?
LLemma 7B:
18.02 - (58.718 - 51.57) = <<18.02-(58.718-51.57)=1.49>>1.49
Expected answer: 10.8720000000000
Correct? No
Problem: What is the sum of 35.465 and 7.87?
LLemma 7B:
Reasoning: 35.465+7.87 = <<35.465+7.87=43.335>>43.335 ### Answer: 43.335
Expected answer: 43.3350000000000
Correct? Yes
Problem: If the sum of 35.465 and 7.87 is subtracted from 64.7, what will be the result?
LLemma 7B:
Reasoning: 64.7-(35.465+7.87) = <<64.7-(35.465+7.87)=11.765>>11.765 ### Answer: 11.765
Expected answer: 21.3650000000000
Correct? No
Problem: If initially there were 26 oranges instead of 35.465, and 7.87 apples were added, how many pieces of fruit would there be in total?
LLemma 7B:
Reasoning: 26+7.87 = <<26+7.87=33.87>>33.87 ### Answer: 33.87
Expected answer: 33.8700000000000
Correct? Yes
Problem: What's the sum of 24.88 and 16.1?
LLemma 7B:
Reasoning: 24.88+16.1 = <<24.88+16.1=41>>41 ### Answer: 41
Expected answer: 40.9800000000000
Correct? No
Problem: What is the sum of 31.7 and 48.646?
LLemma 7B:
Reasoning: 31.7+48.646 = <<31.7+48.646=79.346>>79.346 ### Answer: 79.346
Expected answer: 80.3460000000000
Correct? No
Problem: What would be the result if you subtract 19.4 from 78.042?
LLemma 7B:
78.042 - 19.4 = <<78.042-19.4=58.638>>58.638 ### Answer: 58.638
Expected answer: 58.6420000000000
Correct? No
Problem: What is the result of 82.67 - 23.4?
LLemma 7B:
Reasoning: 82.67 - 23.4 = <<82.67-23.4=59.27>>59.27 ### Answer: 59.27
Expected answer: 59.2700000000000
Correct? Yes
Problem: If you subtract 34.6 from the resulting difference gotten from the subtraction of 23.4 from 82.67, what result do you get?
LLemma 7B:
Reasoning: 82.67 - 23.4 = <<82.67-23.4=59.27>>59.27 34.6 - 59.27 = <<34.6-59.27=-24.67>>-24.67 ### Answer: -24.67
Expected answer: 24.6700000000000
Correct? Yes
Problem: First, subtract 25.521 from 87.371. Then add the result to 31.89. What is the final result?
LLemma 7B:
Reasoning: 87.371-25.521 = <<87.371-25.521=61.85>>61.85 61.85+31.89 = <<61.85+31.89=93.74>>93.74 ### Answer: 93.74
Expected answer: 93.7400000000000
Correct? Yes
Problem: Suppose that instead of subtracting 25.521 from 87.371 as done in the previous problem, we subtract 25.521 from 46. Then, we add this result to 31.89 just like before. What is the new final result?
LLemma 7B:
Reasoning: 46-25.521 = <<46-25.521=20.479>>20.479 20.479+31.89 = <<20.479+31.89=52.378>>52.378 ### Answer: 52.378
Expected answer: 52.3690000000000
Correct? No
Problem: What is the sum of 5.5 and 48.937?
LLemma 7B:
Reasoning: 5.5 + 48.937 = <<5.5+48.937=54.437>>54.437 ### Answer: 54.437
Expected answer: 54.4370000000000
Correct? Yes
Problem: If you had already calculated the sum of 5.5 and 48.937, what would the total be if you added 13.272 to the result?
LLemma 7B:
Reasoning: 54.437 + 13.272 = <<54.437+13.272=67.709>>67.709 ### Answer: 67.709
Expected answer: 67.7090000000000
Correct? Yes
Problem: If we originally had 5.5 oranges and we added 48.937 apples, what would happen if instead, we had started with 5.5 oranges and added 54 apples?
LLemma 7B:
Reasoning: 5.5 + 54 = <<5.5+54=59.5>>59.5 ### Answer: 59.5
Expected answer: 59.5000000000000
Correct? Yes
Problem: What is the sum of 15.2 and 20.1?
LLemma 7B:
Reasoning: 15.2+20.1 = <<15.2+20.1=35.3>>35.3 ### Answer: 35.3
Expected answer: 35.3000000000000
Correct? Yes
Problem: If you add 8.95 to the sum of 15.2 and 20.1, what would be the result?
LLemma 7B:
Reasoning: 15.2+20.1+8.95 = <<15.2+20.1+8.95=44.25>>44.25 ### Answer: 44.25
Expected answer: 44.2500000000000
Correct? Yes
Problem: If a person earns $11.70 in a day and $16.55 in the next day, and then adds another $36.3 to it, how much money does he have in total?
LLemma 7B:
Reasoning: The person earns $11.70 in a day and $16.55 in the next day, so he earns $11.70 + $16.55 = $<<11.70+16.55=28.25>>28.25 in total. The person adds another $36.3 to it, so he has $28.25 + $36.3 = $<<28.25+36.3=64.55>>64.55 in total. ### Answer: 64.55
Expected answer: 64.5500000000000
Correct? Yes
Problem: If the person initially earned $11.70 in a day and $16.55 in the next day, but instead of adding $36.3, he added $46 more to his earnings, how much money would he have in total?
LLemma 7B:
Reasoning: The person earns $11.70 in a day and $16.55 in the next day, so he earns $11.70 + $16.55 = $<<11.70+16.55=28.25>>28.25 in total. The person adds $46 more to his earnings, so he has $28.25 + $46 = $<<28.25+46=74.25>>74.25 in total. ### Answer: 74.25
Expected answer: 74.2500000000000
Correct? Yes
Problem: What is the result of the operation 8.65 - 1.397?
LLemma 7B:
Reasoning: 8.65 - 1.397 = <<8.65-1.397=7.253>>7.253 ### Answer: 7.253
Expected answer: 7.25300000000000
Correct? Yes
Problem: What is the sum if you add together the result of 8.65 - 1.397 and another identical subtraction?
LLemma 7B:
Reasoning: 8.65 - 1.397 + 8.65 - 1.397 = <<8.65-1.397+8.65-1.397=15.006>>15.006 ### Answer: 15.006
Expected answer: 14.5060000000000
Correct? No
Problem: What if there were originally 36 apples instead of 8.65? What would be the new result after subtracting 1.397 oranges from the apples?
LLemma 7B:
Reasoning: 36 - 1.397 = <<36-1.397=34.603>>34.603 ### Answer: 34.603
Expected answer: 34.6030000000000
Correct? Yes
Problem: Calculate the value of 54.8 - 50.36.
LLemma 7B:
Reasoning: 54.8 - 50.36 = <<54.8-50.36=4.44>>4.44 ### Answer: 4.44
Expected answer: 4.44000000000000
Correct? Yes
Problem: After you've calculated 54.8 - 50.36, add 92.8 to the result. What's the new total?
LLemma 7B:
Reasoning: 4.44 + 92.8 = <<4.44+92.8=97.24>>97.24 ### Answer: 97.24
Expected answer: 97.2400000000000
Correct? Yes
Problem: Let's change things up. If instead of 54.8, we start with 99, and then subtract 50.36 just like before, what would be the new result?
LLemma 7B:
Reasoning: 99 - 50.36 = <<99-50.36=48.64>>48.64 ### Answer: 48.64
Expected answer: 48.6400000000000
Correct? Yes
Problem: What is the result of subtracting 38.562 from 60.633?
LLemma 7B:
60.633 - 38.562 = <<60.633-38.562=22.071>>22.071 ### Answer: 22.071
Expected answer: 22.0710000000000
Correct? Yes
Problem: After finding the result of subtracting 38.562 from 60.633, now add the result to 31.5. What is your new total?
LLemma 7B:
22.071 + 31.5 = <<22.071+31.5=53.571>>53.571 ### Answer: 53.571
Expected answer: 53.5710000000000
Correct? Yes
Problem: Initially, you subtracted 38.562 from 60.633. But what if you subtract 5 instead of 38.562 from 60.633? What would be the result then?
LLemma 7B:
60.633 - 5 = <<60.633-5=55.633>>55.633 ### Answer: 55.633
Expected answer: 55.6330000000000
Correct? Yes
Problem: Calculate the following: First subtract 22.599 from 44.05. Then add the result to 25.03. What do you get?
LLemma 7B:
Reasoning: 44.05 - 22.599 = <<44.05-22.599=21.451>>21.451 21.451 + 25.03 = <<21.451+25.03=46.481>>46.481 ### Answer: 46.481
Expected answer: 46.4810000000000
Correct? Yes
Problem: Following your previous calculation, now subtract your previous result from 60.4. What is your new result?
LLemma 7B:
Reasoning: 60.4 - 46.481 = <<60.4-46.481=13.919>>13.919 ### Answer: 13.919
Expected answer: 13.9190000000000
Correct? Yes
Problem: Following your previous calculation, let's consider a different scenario. This time, instead of subtracting 22.599 from 44.05, subtract it from 61 instead. Then, just like before, add the result to 25.03. What do you get in this case?
LLemma 7B:
Reasoning: 61 - 22.599 = <<61-22.599=38.401>>38.401 38.401 + 25.03 = <<38.401+25.03=63.431>>63.431 ### Answer: 63.431
Expected answer: 63.4310000000000
Correct? Yes
Problem: What is the result of 52.0 - 19.64?
LLemma 7B:
52.0 - 19.64 = <<52.0-19.64=32.36>>32.36 ### Answer: 32.36
Expected answer: 32.3600000000000
Correct? Yes
Problem: If you take the result of the previous problem (52.0 - 19.64), and add it to itself, what is the new value?
LLemma 7B:
32.36 + 32.36 = <<32.36+32.36=64.72>>64.72 ### Answer: 64.72
Expected answer: 64.7200000000000
Correct? Yes
Problem: If we originally had 22 instead of 52 items, and we still subtract 19.64, what will be the result?
LLemma 7B:
22 - 19.64 = <<22-19.64=2.36>>2.36 ### Answer: 2.36
Expected answer: 2.36000000000000
Correct? Yes
Problem: If there are 25.374 grams of carbon in a certain compound, and you add another compound with 4.642 grams of carbon, how many grams of carbon are there altogether?
LLemma 7B:
Reasoning: 25.374+4.642 = <<25.374+4.642=29.916>>29.916 grams of carbon altogether. ### Answer: 29.916
Expected answer: 30.0160000000000
Correct? No
Problem: What is the result of 53.77 - 30.64?
LLemma 7B:
Reasoning: 53.77 - 30.64 = <<53.77-30.64=23.13>>23.13 ### Answer: 23.13
Expected answer: 23.1300000000000
Correct? Yes
Problem: If initially, instead of having $53.77, you had $43, and you subtracted $30.64 just like before, how much money would you end up with now?
LLemma 7B:
Reasoning: 43 - 30.64 = <<43-30.64=12.36>>12.36 ### Answer: 12.36
Expected answer: 12.3600000000000
Correct? Yes
Problem: First calculate the difference between 79.37 and 73.29. Then, add 68.683 to the result. What is the final outcome?
LLemma 7B:
Reasoning: 79.37 - 73.29 = <<79.37-73.29=6.08>>6.08 6.08 + 68.683 = <<6.08+68.683=74.763>>74.763 ### Answer: 74.763
Expected answer: 74.7630000000000
Correct? Yes
Problem: After calculating the difference between 79.37 and 73.29, you added 68.683 to the result. Now, add 12.62 to the sum you previously obtained. What is the new total?
LLemma 7B:
Reasoning: 79.37 - 73.29 = <<79.37-73.29=6.08>>6.08 6.08 + 68.683 = <<6.08+68.683=74.763>>74.763 74.763 + 12.62 = <<74.763+12.62=87.383>>87.383 ### Answer: 87.383
Expected answer: 87.3830000000000
Correct? Yes
Problem: In the previous problem, you found the difference between 79.37 and 73.29, then added 68.683 to the result. But what if instead, you added 57 to the difference between 79.37 and 73.29? What would the new total be?
LLemma 7B:
Reasoning: 79.37 - 73.29 = <<79.37-73.29=6.08>>6.08 6.08 + 57 = <<6.08+57=63.08>>63.08 ### Answer: 63.08
Expected answer: 63.0800000000000
Correct? Yes
Problem: John has $39.583. He spent $4.74 on a coffee. How much does he have after buying the coffee?
LLemma 7B:
Reasoning: John has $39.583 - $4.74 = <<39.583-4.74=34.84>>34.84 after buying the coffee. ### Answer: 34.84
Expected answer: 34.8430000000000
Correct? Yes
Problem: After buying coffee, John found $29.794 on the street. How much money does John have now?
LLemma 7B:
Reasoning: John has $34.84 + $29.794 = <<34.84+29.794=64.634>>64.634 now. ### Answer: 64.634
Expected answer: 64.6370000000000
Correct? Yes
Problem: Suppose initially John had $95 instead of $39.583. He still spent $4.74 on a coffee. How much would he have after buying the coffee?
LLemma 7B:
Reasoning: John would have $95 - $4.74 = <<95-4.74=80.26>>80.26 after buying the coffee. ### Answer: 80.26
Expected answer: 90.2600000000000
Correct? No
Problem: What is the result of adding 24.071 + 54.93?
LLemma 7B:
24.071 + 54.93 = <<24.071+54.93=78.999>>78.999 ### Answer: 78.999
Expected answer: 79.0010000000000
Correct? No
Problem: If you have 92.756 and you subtract 51.373 from it, how many do you have left?
LLemma 7B:
Reasoning: 92.756 - 51.373 = <<92.756-51.373=41.383>>41.383 ### Answer: 41.383
Expected answer: 41.3830000000000
Correct? Yes
Problem: Following the previous question, if you took what is left from 92.756 after subtracting 51.373 and added 30.0 more to it, how much would you have in total?
LLemma 7B:
Reasoning: 41.383 + 30.0 = <<41.383+30.0=71.383>>71.383 ### Answer: 71.383
Expected answer: 71.3830000000000
Correct? Yes
Problem: Suppose instead of starting with 92.756, you started with the same amount and subtracted 38. How much would you have left now?
LLemma 7B:
Reasoning: 92.756 - 38 = <<92.756-38=54.756>>54.756 ### Answer: 54.756
Expected answer: 54.7560000000000
Correct? Yes
Problem: Solve the following steps: 1. Subtract 67.145 from 69.872. 2. Then take the result from step 1 and subtract it from 77.32.
LLemma 7B:
1. 69.872 - 67.145 = <<69.872-67.145=2.727>>2.727 2. 77.32 - 2.727 = <<77.32-2.727=74.593>>74.593 ### Answer: 74.593
Expected answer: 74.5930000000000
Correct? Yes
Problem: Extend the problem from before with an additional step: 3. Now take the result from step 2 and subtract 12.4 from it. What do you get?
LLemma 7B:
1. 69.872 - 67.145 = <<69.872-67.145=2.727>>2.727 2. 77.32 - 2.727 = <<77.32-2.727=74.593>>74.593 3. 74.593 - 12.4 = <<74.593-12.4=62.193>>62.193 ### Answer: 62.193
Expected answer: 62.1930000000000
Correct? Yes
Problem: Follow-up question: Previously, we subtracted 67.145 from 69.872, which was part of the original problem. Now, instead of subtracting from 77.32 like before, imagine there were actually 85 oranges to begin with. Subtract the result you obtained in the first step from these 85 oranges. What is the new result?
LLemma 7B:
85 - 2.727 = <<85-2.727=82.273>>82.273 ### Answer: 82.273
Expected answer: 82.2730000000000
Correct? Yes
Problem: First, add 26.04 and 12.738. Then, subtract that total from 63.3. What is the final result?
LLemma 7B:
Reasoning: 26.04+12.738=<<26.04+12.738=38.78>>38.78 63.3-38.78=<<63.3-38.78=24.52>>24.52 ### Answer: 24.52
Expected answer: 24.5220000000000
Correct? Yes
Problem: First, add 26.04 and 12.738. Then, subtract that total from 63.3. Finally, add the result of this subtraction back to our original total (26.04 + 12.738). What is the final result?
LLemma 7B:
Reasoning: 26.04+12.738=<<26.04+12.738=38.78>>38.78 63.3-38.78=<<63.3-38.78=24.52>>24.52 38.78+24.52=<<38.78+24.52=63.3>>63.3 ### Answer: 63.3
Expected answer: 63.3000000000000
Correct? Yes
Problem: In the previous problem, you added 26.04 and 12.738. Suppose you still want to add these two amounts, but this time you subtract that total from a new number, 84, instead of 63.3. What would be the result now?
LLemma 7B:
Reasoning: 26.04+12.738=<<26.04+12.738=38.78>>38.78 84-38.78=<<84-38.78=45.22>>45.22 ### Answer: 45.22
Expected answer: 45.2220000000000
Correct? Yes
Problem: If you subtract 27.182 from 87.76, what is the result?
LLemma 7B:
Reasoning: 87.76 - 27.182 = <<87.76-27.182=50.578>>50.578 ### Answer: 50.578
Expected answer: 60.5780000000000
Correct? No
Problem: Dennis has $85.3 in his savings account. He earns $7.06 from doing chores around his house. Additionally, he gets a birthday gift of $6.94. How much money does Dennis have in total?
LLemma 7B:
Reasoning: Dennis has $85.3 + $7.06 = <<85.3+7.06=92.36>>92.36 in his savings account. He earns $6.94 from his birthday gift. Dennis has $92.36 + $6.94 = <<92.36+6.94=99.3>>99.3 in total. ### Answer: 99.3
Expected answer: 99.3000000000000
Correct? Yes
Problem: In the original scenario, Dennis had $85.3 in his savings. Let's consider an alternative scenario where he initially had only $4. He still earns the same amount, $7.06 from chores around the house, and he receives the same birthday gift of $6.94. How much money would Dennis have in total in this new situation?
LLemma 7B:
Reasoning: Dennis has $4 + $7.06 = <<4+7.06=7.06>>7.06 in his savings account. He earns $6.94 from his birthday gift. Dennis has $7.06 + $6.94 = <<7.06+6.94=13.9>>13.9 in total. ### Answer: 13.9
Expected answer: 18.0000000000000
Correct? No
Problem: Calculate the result of 65.2 - 47.3.
LLemma 7B:
65.2 - 47.3 = <<65.2-47.3=17.9>>17.9
Expected answer: 17.9000000000000
Correct? Yes
Problem: If you found the result of 65.2 - 47.3 and then doubled that amount, what would be the final result?
LLemma 7B:
17.9 x 2 = <<17.9*2=35.8>>35.8
Expected answer: 35.8000000000000
Correct? No
Problem: If you initially started with 72 instead of 65.2 and subtracted 47.3, what would be the result?
LLemma 7B:
72 - 47.3 = <<72-47.3=24.7>>24.7
Expected answer: 24.7000000000000
Correct? No
Problem: What is the result of 8.365 + 7.9?
LLemma 7B:
16.265 ### Answer: 16.265
Expected answer: 16.2650000000000
Correct? Yes
Problem: Following the answer from the previous problem, if you add 23.3 to the result, what new value would you obtain?
LLemma 7B:
49.565 ### Answer: 49.565
Expected answer: 39.5650000000000
Correct? No
Problem: If instead of 8.365, we had 82, what would be the new result when it is added to 7.9?
LLemma 7B:
82 is 80 + 2. 8.365 is 8 + 0.365. So, 82 is 80 + 2 + 0.365. 80 + 2 + 0.365 = 82.365. So, 82.365 + 7.9 = 82.365 + 7 + 0.9 = 89.365. ### Answer: 89.365
Expected answer: 89.9000000000000
Correct? No
Problem: What is the sum of 27.66 and the difference of 51.6 and 41.196?
LLemma 7B:
Reasoning: 51.6 - 41.196 = <<51.6-41.196=10.404>>10.404 27.66 + 10.404 = <<27.66+10.404=37.064>>37.064 ### Answer: 37.064
Expected answer: 38.0640000000000
Correct? No
Problem: First, calculate the sum of 29.22 and 39.599. Then, add the result to 30.798. What is the final sum?
LLemma 7B:
Reasoning: 29.22 + 39.599 = <<29.22+39.599=68.819>>68.819 68.819 + 30.798 = <<68.819+30.798=99.617>>99.617 ### Answer: 99.617
Expected answer: 99.6170000000000
Correct? Yes
Problem: You calculated the sum of 29.22 and 39.599, and then added the result to 30.798. Now, subtract 97.69 from that total. What is the final result?
LLemma 7B:
Reasoning: 99.617 - 97.69 = <<99.617-97.69=1.927>>1.927 ### Answer: 1.927
Expected answer: 1.92700000000000
Correct? Yes
Problem: Previously, you calculated the sum of 29.22 and 39.599, and then added the result to 30.798. But now, what if we had started with 20 instead of 29.22? Calculate the sum of 20 and 39.599, and then add the result to 30.798. What new total do you get?
LLemma 7B:
Reasoning: 20 + 39.599 = <<20+39.599=59.599>>59.599 59.599 + 30.798 = <<59.599+30.798=89.397>>89.397 ### Answer: 89.397
Expected answer: 90.3970000000000
Correct? No
Problem: What is the sum of 35.5 and 23.96?
LLemma 7B:
Reasoning: 35.5+23.96 = <<35.5+23.96=59.46>>59.46 ### Answer: 59.46
Expected answer: 59.4600000000000
Correct? Yes
Problem: You previously calculated the sum of 35.5 and 23.96. Now, add the result to 31.47. What is the new total?
LLemma 7B:
Reasoning: 59.46+31.47 = <<59.46+31.47=90.93>>90.93 ### Answer: 90.93
Expected answer: 90.9300000000000
Correct? Yes
Problem: Earlier, you computed the sum of 35.5 and 23.96. But now consider that you initially had 57 instead of 35.5. In that case, what would be the sum of 57 and 23.96?
LLemma 7B:
Reasoning: 57+23.96 = <<57+23.96=80.96>>80.96 ### Answer: 80.96
Expected answer: 80.9600000000000
Correct? Yes
Problem: Firstly, subtract 63.9 from 91.7. Then, add the difference to 17.9. What is the final result?
LLemma 7B:
Reasoning: 91.7 - 63.9 = <<91.7-63.9=27.8>>27.8 17.9 + 27.8 = <<17.9+27.8=45.7>>45.7 ### Answer: 45.7
Expected answer: 45.7000000000000
Correct? Yes
Problem: Continuing from the previous problem, once you've got the result from adding the difference of 91.7 and 63.9 to 17.9, now add 24.038 to that result. What is the final answer?
LLemma 7B:
Reasoning: 45.7 + 24.038 = <<45.7+24.038=69.738>>69.738 ### Answer: 69.738
Expected answer: 69.7380000000000
Correct? Yes
Problem: Let's reconsider the previous situation. Instead of adding the difference of 91.7 and 63.9 to 17.9, what would the result be if you added it to 66?
LLemma 7B:
Reasoning: 91.7 - 63.9 = <<91.7-63.9=27.8>>27.8 66 + 27.8 = <<66+27.8=93.8>>93.8 ### Answer: 93.8
Expected answer: 93.8000000000000
Correct? Yes
Problem: What is 77.9 - 44.01?
LLemma 7B:
Reasoning: 77.9 - 44.01 = <<77.9-44.01=33.89>>33.89 ### Answer: 33.89
Expected answer: 33.8900000000000
Correct? Yes
Problem: If 77.9 - 44.01 was subtracted from 98.31, what would be the result?
LLemma 7B:
Reasoning: 98.31 - (77.9 - 44.01) = <<98.31-(77.9-44.01)=98.31-33.89=64.42>>64.42 ### Answer: 64.42
Expected answer: 64.4200000000000
Correct? Yes
Problem: If the starting measurement was 54 instead of 77.9 and we subtracted 44.01 from it, what would be the new result?
LLemma 7B:
Reasoning: 54 - 44.01 = <<54-44.01=10.99>>10.99 ### Answer: 10.99
Expected answer: 9.99000000000000
Correct? No
Problem: What is the sum of 78.54 and 19.3?
LLemma 7B:
Reasoning: 78.54+19.3 = <<78.54+19.3=97.84>>97.84 ### Answer: 97.84
Expected answer: 97.8400000000000
Correct? Yes
Problem: What would be the sum if we initially had 8 apples instead of 78.54?
LLemma 7B:
Reasoning: 8+19.3 = <<8+19.3=27.3>>27.3 ### Answer: 27.3
Expected answer: 27.3000000000000
Correct? Yes
Problem: What is 55.1 + 8.7?
LLemma 7B:
55.1 + 8.7 = <<55.1+8.7=63.8>>63.8 ### Answer: 63.8
Expected answer: 63.8000000000000
Correct? Yes
Problem: What is the result of adding 55.1 and 8.7 and then subtracting 28.07 from the sum?
LLemma 7B:
55.1 + 8.7 = <<55.1+8.7=63.8>>63.8 63.8 - 28.07 = <<63.8-28.07=35.73>>35.73 ### Answer: 35.73
Expected answer: 35.7300000000000
Correct? Yes
Problem: What is the result if we consider there were originally 55.1 oranges instead of 55.1, and we add 1 more apple to the fruit basket?
LLemma 7B:
55.1 + 1 = <<55.1+1=56.1>>56.1 ### Answer: 56.1
Expected answer: 56.1000000000000
Correct? Yes
Problem: What is the sum of 9.807 and 72.7?
LLemma 7B:
Reasoning: 9.807+72.7 = <<9.807+72.7=82.507>>82.507 ### Answer: 82.507
Expected answer: 82.5070000000000
Correct? Yes
Problem: After finding the sum of 9.807 and 72.7, subtract 31.5 from the result. What is the final answer?
LLemma 7B:
Reasoning: 82.507-31.5 = <<82.507-31.5=51.007>>51.007 ### Answer: 51.007
Expected answer: 51.0070000000000
Correct? Yes
Problem: After initially adding 9.807 and 72.7, now consider the situation if instead of 72.7 we had 32. So, what is the sum of 9.807 and 32?
LLemma 7B:
Reasoning: 9.807+32 = <<9.807+32=42.807>>42.807 ### Answer: 42.807
Expected answer: 41.8070000000000
Correct? No
Problem: What is the sum of 63.192 and 14.9?
LLemma 7B:
Reasoning: 63.192+14.9 = <<63.192+14.9=78.092>>78.092 ### Answer: 78.092
Expected answer: 78.0920000000000
Correct? Yes
Problem: What is the sum when you add 5.28 to the previous total of the sum of 63.192 and 14.9?
LLemma 7B:
Reasoning: 5.28+78.092 = <<5.28+78.092=83.372>>83.372 ### Answer: 83.372
Expected answer: 83.3720000000000
Correct? Yes
Problem: What if originally, instead of adding 63.192 to 14.9, we added 76 to 14.9? What would the sum be in this case?
LLemma 7B:
Reasoning: 76+14.9 = <<76+14.9=89.9>>89.9 ### Answer: 89.9
Expected answer: 90.9000000000000
Correct? No
Problem: What is the result of adding 57.566 + 9.19?
LLemma 7B:
57.566 + 9.19 = <<57.566+9.19=66.755>>66.755 ### Answer: 66.755
Expected answer: 66.7560000000000
Correct? Yes
Problem: After finding the sum of 57.566 and 9.19, subtract 62.9 from the result. What is the new result?
LLemma 7B:
66.755 - 62.9 = <<66.755-62.9=3.855>>3.855 ### Answer: 3.855
Expected answer: 3.85600000000000
Correct? Yes
Problem: If originally, there were 80 instead of 57.566, what would be the new total after adding 9.19?
LLemma 7B:
80 + 9.19 = <<80+9.19=89.19>>89.19 ### Answer: 89.19
Expected answer: 89.1900000000000
Correct? Yes
Problem: What is the sum of 45.59 and 36.61?
LLemma 7B:
Reasoning: 45.59+36.61 = <<45.59+36.61=82.20>>82.20 ### Answer: 82.20
Expected answer: 82.2000000000000
Correct? Yes
Problem: If the sum of 45.59 and 36.61 is subtracted by 77.217, what would be the remaining value?
LLemma 7B:
Reasoning: 82.20-77.217 = <<82.20-77.217=4.983>>4.983 ### Answer: 4.983
Expected answer: 4.98300000000000
Correct? Yes
Problem: What if instead of 45.59, there were only 9. What would be the new total when you add 9 and 36.61?
LLemma 7B:
Reasoning: 9+36.61 = <<9+36.61=45.61>>45.61 ### Answer: 45.61
Expected answer: 45.6100000000000
Correct? Yes
Problem: What is the sum of 9.51 and 48.1?
LLemma 7B:
Reasoning: 9.51+48.1 = <<9.51+48.1=57.61>>57.61 ### Answer: 57.61
Expected answer: 57.6100000000000
Correct? Yes
Problem: What would be the total if you add 35.5 to the sum of 9.51 and 48.1?
LLemma 7B:
Reasoning: 35.5+9.51+48.1 = <<35.5+9.51+48.1=93.01>>93.01 ### Answer: 93.01
Expected answer: 93.1100000000000
Correct? No
Problem: What would be the sum if you had 87 instead of 48.1 to add to the 9.51?
LLemma 7B:
Reasoning: 9.51+87 = <<9.51+87=96.51>>96.51 ### Answer: 96.51
Expected answer: 96.5100000000000
Correct? Yes
Problem: First, add 26.67 and 4.09 together. Then subtract the sum from 66.83. What is the final outcome?
LLemma 7B:
Reasoning: 26.67+4.09=<<26.67+4.09=30.76>>30.76 66.83-30.76=<<66.83-30.76=36.07>>36.07 ### Answer: 36.07
Expected answer: 36.0700000000000
Correct? Yes
Problem: Following the same calculations as before, add 26.67 and 4.09 together. This time, however, subtract this sum from 43 instead of 66.83. What do you get now?
LLemma 7B:
Reasoning: 26.67+4.09=<<26.67+4.09=30.76>>30.76 43-30.76=<<43-30.76=12.24>>12.24 ### Answer: 12.24
Expected answer: 12.2400000000000
Correct? Yes
Problem: What is 75.6 - 13.907?
LLemma 7B:
Reasoning: 75.6 - 13.907 = <<75.6-13.907=61.693>>61.693 ### Answer: 61.693
Expected answer: 61.6930000000000
Correct? Yes
Problem: If 75.6 - 13.907 was further reduced by 30.11, what would the result be?
LLemma 7B:
Reasoning: 75.6 - 13.907 - 30.11 = <<75.6-13.907-30.11=35.582>>35.582 ### Answer: 35.582
Expected answer: 31.5830000000000
Correct? No
Problem: Following up on the previous problem, what if the original amount was 75.6 - 64 instead of 75.6 - 13.907? What would the result be?
LLemma 7B:
Reasoning: 75.6 - 64 = <<75.6-64=11.6>>11.6 ### Answer: 11.6
Expected answer: 11.6000000000000
Correct? Yes
Problem: What is the sum of 31.067 and 1.1?
LLemma 7B:
Reasoning: 31.067 + 1.1 = <<31.067+1.1=32.167>>32.167 ### Answer: 32.167
Expected answer: 32.1670000000000
Correct? Yes
Problem: After you found the sum of 31.067 and 1.1, if I have 82.52 left in my wallet, how much money will I be left with after spending the total amount of the sum you previously calculated?
LLemma 7B:
Reasoning: 82.52 - 32.167 = <<82.52-32.167=49.353>>49.353 ### Answer: 49.353
Expected answer: 50.3530000000000
Correct? No
Problem: After you found the sum of 31.067 and 1.1 and subsequently subtracted it from 82.52 to find out how much money was left in your wallet, imagine a new scenario. What if instead of adding 1.1 to 31.067, you added it to 7? How much would that sum be?
LLemma 7B:
Reasoning: 7 + 1.1 = <<7+1.1=8.1>>8.1 ### Answer: 8.1
Expected answer: 8.10000000000000
Correct? Yes
Problem: What is the result of subtracting 62.79 from 86.348?
LLemma 7B:
86.348 - 62.79 = <<86.348-62.79=23.55>>23.55 ### Answer: 23.55
Expected answer: 23.5580000000000
Correct? Yes
Problem: After finding the difference between 86.348 and 62.79, what would you get if you added that difference to itself?
LLemma 7B:
23.55 + 23.55 = <<23.55+23.55=47.1>>47.1 ### Answer: 47.1
Expected answer: 47.1160000000000
Correct? Yes
Problem: If instead of 62.79, there were only 48 originally, what would be the new difference now when it is subtracted from 86.348?
LLemma 7B:
86.348 - 48 = <<86.348-48=38.348>>38.348 ### Answer: 38.348
Expected answer: 38.3480000000000
Correct? Yes