Availability of additional units above the minimum

If p = 32 - q - r and pq + r(q + p) = 255, then find the value of (p² + q² + r²).

Determine the remainder when the polynomial 4x ³  - 5x ²  + 2x + 1 is divided by (4x - 3).

Solve for x:

3x - 4 = 2x + 5

A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively.

If a + b = 5 and ab = 6, find the value of a³ + b³.

If (x²⁴  +  1)/x¹²  = 7, then the value of (x⁷²  +  1)/x³⁶  is 

If √f + (1/√f) = 5, then find the value of f + (1/f).