# How hard can this be?

Algebra Level pending

Let $$f(x)$$ be a 5th degree polynomial of the form $${ x }^{ 5 }+a{ x }^{ 4 }+{ bx }^{ 3 }+c{ x }^{ 2 }+dx+e$$.

Also, $$f(n)=10n$$ for $$n = 1, 2, 3, 4, 5$$.

Find $$a+b+c+d+e.$$

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