Evaluate each expression. 1) \( (-17-3-5) \div(-4-1) \) 2) \( (15-5) \div-2 \cdot 2 \cdot-6 \) 3) \( -4 \div(4-(2 \cdot 6-4)) \) 4) \( -6+1--3+-6-1 \) 5) \( -3-4+4-(-1--1) \) 6) \( -\frac{4}{4(3-4)}(-5-6) \) 7) \( \frac{-8-1-2+2}{-5--2} \) 8) \( \frac{-2-1+-10+5}{1+1} \) 9) \( -5 \cdot 2+4-2+-1+2 \) 10) \( (5-1-1) \cdot(-5+3) \cdot-6 \) 11) \( (5-4)(6)-(5-(6-6)) \) 12) \( 4+\frac{9-6}{1+4-2} \) 13) \( \left(3^{2}\right)\left(\frac{8}{2-(2-2)}\right) \) 14) \( 3^{3}-\frac{9}{(3)(4-3)} \) 15) \( \left(\frac{5}{(2)(5)-5}\right)(6)-4 \)
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Let's tackle these expressions one by one: 1) \( (-17-3-5) \div(-4-1) = (-25) \div (-5) = 5 \) 2) \( (15-5) \div -2 \cdot 2 \cdot -6 = 10 \div -2 \cdot 2 \cdot -6 = -5 \cdot 2 \cdot -6 = 60 \) 3) \( -4 \div (4 - (2 \cdot 6 - 4)) = -4 \div (4 - (12 - 4)) = -4 \div (-4) = 1 \) 4) \( -6 + 1 - -3 + -6 - 1 = -6 + 1 + 3 - 6 - 1 = -9 \) 5) \( -3 - 4 + 4 - (-1 - -1) = -3 - 4 + 4 - (0) = -3 \) 6) \( -\frac{4}{4(3-4)}(-5-6) = -\frac{4}{4(-1)}(-11) = -\frac{4}{-4}(-11) = 11 \) 7) \( \frac{-8-1-2+2}{-5--2} = \frac{-9}{-3} = 3 \) 8) \( \frac{-2-1+-10+5}{1+1} = \frac{-8}{2} = -4 \) 9) \( -5 \cdot 2 + 4 - 2 + -1 + 2 = -10 + 4 - 2 - 1 + 2 = -7 \) 10) \( (5-1-1) \cdot(-5+3) \cdot -6 = (3) \cdot(-2) \cdot -6 = 36 \) 11) \( (5-4)(6)-(5-(6-6)) = (1)(6) - (5-0) = 6 - 5 = 1 \) 12) \( 4 + \frac{9-6}{1+4-2} = 4 + \frac{3}{3} = 4 + 1 = 5 \) 13) \( \left(3^{2}\right)\left(\frac{8}{2-(2-2)}\right) = 9 \cdot \text{undefined} = \text{undefined} \) (division by zero) 14) \( 3^{3}-\frac{9}{(3)(4-3)} = 27 - \frac{9}{3} = 27 - 3 = 24 \) 15) \( \left(\frac{5}{(2)(5)-5}\right)(6)-4 = \left(\frac{5}{5}\right)(6)-4 = 6 - 4 = 2 \) So, after evaluating each expression, we have the results as follows: 1) 5 2) 60 3) 1 4) -9 5) -3 6) 11 7) 3 8) -4 9) -7 10) 36 11) 1 12) 5 13) undefined 14) 24 15) 2