h3 - 40h2 + 375h - 1000 > 0 (h3 is h to the power of 3) - (h2 is h to the power of 2)

I know the general method - finding factors of 1000 and substituting them instead of h (factor theorem) - but the numbers are way too high. Is there any other method or do I just have to keep on substituting numbers?

(x2 + x - 12) / (x2+5x+6) < 0

(x+1)(x-2)(2x) >= 0 (2x is 2 to the power of x