A half byte is know

If (a + b + c) = 9, find (a – 4)³ + (b – 2)³ + ( c – 3)³ - 3(a – 4 ) (b – 2 ) (c – 3)?

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

Simplify:
5x + 7y - [(10x + 4y) - (3x + 2y) + 5y] - 3x

Solve the inequality for real x:

3 − 2x ≤ (x + 1)/2 < 5

Suppose xy = -15 and (x² + y²) = 34, then determine the value of (x – y).

If a + (1/a) = 2, then find the value of (a⁵ + a³ + 6)/(7a – 5). 

For a =-4 and b = 5, value of a² – b² is:

If x⁴ + x³ + x² + x + 1 = 0, then find the value of x¹⁵²⁵ + x⁷²⁰ + 14 + x³²⁰ =?