Question

Question in comments

Answer 1

smallest positive integer or zero really limits your answers (i.e. 0, 1, 2 ,3, ...)

have you tried substituting in zero first and seeing if its possible to get a negative answer?

Answer 2

I know how to solve the problem. I put for some people to have fun finding the solution

Answer 3

What particular value can z NOT have?

Answer 4

There are many values that cannot have. For example it cannot have the value zero, or 8, 9, 10,11 and many more

Answer 5

z=2 is the answer

Answer 6

Clearly the expression is an integer when \(z+3 = 5n\).

Letting \(n=1\),
\(z+3 = 5 \implies z = 2\)