# A Strange Polynomial in 2015

Algebra Level 5

Let $$f(x)$$ be a polynomial with integer coefficients such that

$f(2) = f(0) = f(1) = f(5) = n \\ f(-2) = f(-1) = f(-5) = -n$

for some positive integer $$n$$. Find the smallest possible value of $$n$$.

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