If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

If x1x2x3 = 4(4 + x1 + x2 + x3), then what is the value of [1/(2 + x1)] + [1/(2 + x2)] + [1/(2 + x3)]?

If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:

If x + y = 7 and xy = 10, then the value of (1/x³ + 1/x³) is :

If a³ + 3a² + 9a = 1, then what is the value of a³ + (3/a)?

If x + y + z = 0, then what is the value of (3y² + x² + z²)/(2y² – xz)?

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:

If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x³ + y³ + z³ + xyz  is :

If α and β are the roots of equation x² – x + 1 = 0, then which equation will have roots α³ and β³?