If $x = 2 + 2^{2/3} + 2^{1/3}$,then the value of $x^3 - 6x^2 + 6x$ is:

The number of real solutions of the equation $x|x+3|+|x-1|-2=0$ is

Let $f(x) = x^2 + ax + b$,where $a, b \in R$. If $f(x) = 0$ has all its roots imaginary,then the roots of $f(x) + f'(x) + f''(x) = 0$ are

If one root of the equation $x^3-6x^2+3x+10=0$ is the average of the other two,then the sum of the fourth powers of the roots of the equation is

If the equation $x^4+ax^3+bx^2+cx+d=0$ has three equal roots,then that root is

The roots of the equation $x^4+x^3-4x^2+x+1=0$ are diminished by $h$ so that the transformed equation does not contain the $x^2$ term. If the values of such $h$ are $\alpha$ and $\beta$,then $12(\alpha-\beta)^2=$