Logical Algebra (Problem 1)

I have a number $x$ where three numbers (excluding π and e) are involved in this formula: $\frac{πe/y}{az^2}$ = $x$ . The numbers can 'talk'. y says "I am half of $x + 1$ ", a says " I am 21", z says " I am $x$ " We also know that if $z = x$ , the equation is rendered false and if $y$ = $\frac{x + 1}{2}$ , the equation is $x = √i$ , therefore only $a$ 's "statement" is true. Further clues: $(az)^2$ = $π$ , so $(z^2)$ = $\frac{π}{21}$ , $πe/y$ = 2, $π$ is approximately 3.14, $e$ is approximately 2.72 Using these clues, find $x$ using logic as well.