Find the value of the polynomial $x^{2}-7x+12$ at $x=4$.

Evaluate $(65)^{2}$.

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 6$.

Without finding the cubes,factorise $(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$.

Evaluate $(153)^{2}$.

Evaluate the following using suitable identities: $(995)^{3}$