# Not too hard II

Algebra Level 5

If $$a$$, $$b$$ and $$c$$ are complex numbers such that:

$a^2+b^2+c^2=21\\ a^3+b^3+c^3=-55\\ abc=-8$

If the minimum value of $$a^4+b^4+c^4$$ can be expressed as $$-\dfrac{m+147\sqrt{n}}{4}$$, find $$m+n$$.

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