# When All Else Fails, We Don't

Algebra Level 5

$\large 2000x^{6} + 100x^{5} + 10x^{3} + x - 2 = 0$

One of the roots of the equation above is of the form $\dfrac{m + \sqrt{n}}{r}$, where $m$ is a non-zero integer, $r$ and $n$ are relatively coprime positive integers.

Find the value of $m + n + r$.

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