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Problem #107

Negated Twins

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

f(2) = f(0) = f(1) = f(5) = n and

f(-2) = f(-1) = f(-5) = -n for some positive integer n.

Find the smallest possible value of n.

Contributed by Abhishek Kandoi

Solved by 108 users

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