Step 1: Simplify within parentheses 1. 6 + 9 - 5 * 10 / 5 + 1 / 2 of (90 - 25 + 5) - Simplify within the parentheses: 90 - 25 + 5 = 70

1. 105/15 * 4 + 32 + 1/4 of (15 * 4 - 16)
   • Simplify within the parentheses: 15 * 4 - 16 = 44
2. 4 * (3 + 4 - 5) + 5 * (8 - 3 - 2)
   • Simplify within the first set of parentheses: 3 + 4 - 5 = 2
   • Simplify within the second set of parentheses: 8 - 3 - 2 = 3

Step 2: Perform multiplication and division from left to right 1. 6 + 9 - 5 * 10 / 5 + 1 / 2 of 70 - Perform multiplication: 5 * 10 = 50 - Perform division: 50 / 5 = 10 - Perform division: 1 / 2 = 0.5

1. 105/15 * 4 + 32 + 1/4 of 44
   • Perform division: 105/15 = 7
   • Perform multiplication: 7 * 4 = 28
   • Perform division: 1/4 = 0.25
2. 4 * 2 + 5 * 3
   • Perform multiplication: 4 * 2 = 8
   • Perform multiplication: 5 * 3 = 15

Step 3: Perform addition and subtraction from left to right 1. 6 + 9 - 10 + 0.5 * 70 - Perform addition: 6 + 9 = 15 - Perform subtraction: 15 - 10 = 5 - Perform multiplication: 0.5 * 70 = 35

1. 28 + 32 + 0.25 * 44
   • Perform addition: 28 + 32 = 60
   • Perform multiplication: 0.25 * 44 = 11
2. 8 + 15
   • Perform addition: 8 + 15 = 23

Step 4: Final calculation 1. 5 + 35 - Perform addition: 5 + 35 = 40

1. 60 + 11
   • Perform addition: 60 + 11 = 71
2. 23

Final Answers: 1. 6 + 9 - 5 * 10 / 5 + 1 / 2 of (90 - 25 + 5) = 40 2. 105/15 * 4 + 32 + 1/4 of (15 * 4 - 16) = 71 3. 4 * (3 + 4 - 5) + 5 * (8 - 3 - 2) = 23