# Problem 6

Algebra Level 5

$\large \frac{abc(a+b+c)}{(a^2+b^2+c^2)^2}$

Given that $$a,b,c$$ are reals and are non-zero number at the same time and $$a^3b+b^3c+c^3a=0$$. Let the maximum value of the expression above be $$A$$. Compute $$\left \lfloor 60000A \right \rfloor$$.

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