If 2 is a zero of the polynomial p(x) = x³ + 3x² - 6x - a then what is the sum of the squares of the other zeros of the polynomial ?

If z = x + iy is a complex number such that iz = 2 + 3i, then the value of x − y is

For what values of m, is mx² + mx + x8 + 9 a perfect square?

If a, b, c, d, e and f satisfy 2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f)?

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

What is the largest power of 10 that divides the product 29×28×27 x...2×1?