Question

find the value of the expression ((r - 1) div (n^2 - 14 div s)) for (n = 4), (r = 19), and (s = 2).

Explanation:

Step1: Substitute given values

Substitute $n=4$, $r=19$, $s=2$ into the expression:
$$(19 - 1) \div (4^2 - 14 \div 2)$$

Step2: Calculate numerator

Simplify the terms in the numerator:
$19 - 1 = 18$

Step3: Calculate denominator part 1

Compute the exponent and division in the denominator:
$4^2 = 16$, $14 \div 2 = 7$

Step4: Calculate denominator part 2

Subtract to find the full denominator:
$16 - 7 = 9$

Step5: Divide numerator by denominator

Divide the simplified numerator by the simplified denominator:
$18 \div 9 = 2$

Answer:

2