# My first problem

Algebra Level 5

$\dfrac{(a^3+b^3+c^3)^2 (a^4+b^4+c^4)}{(a^5+b^5+c^5)^2}$ Let $$a, b$$ and $$c$$ be ​​non-zero real numbers such that $$a + b + c = 0$$. The value of the above expression can be represented by $$\dfrac mn$$, both coprime positive integers. Calculate the value of $$m+n$$.

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