If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114,

Determine the remainder when equation 4a³ - 5a² + 2a + 1 is divided by (4a - 3) . 

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

Find x, given 5 (√5)^x+6 = (√5)^2x+7 :

The total number of even factors of 2⁵ × 3³ × 5² is:

Solve for x (x > 1):

log₃(x − 1) + log₃(x + 1) = 2

Solve the equation:

3(x − 2) + 4(2x + 1) = 5(2x − 3) + 7

If a³ = 117 + b³ and a = 3 + b, then the value of a + b is:

Which one of the following is the equation for Velocity Time relation?

The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is