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  1. MHB Master
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    #1
    Here is this week's POTW:

    -----

    Let $a>0$ and $P(x)$ be a polynomial with integer coefficients such that

    $P(1)=P(3)=P(5)=P(7)=a$ and

    $P(2)=P(4)=P(6)=P(8)=-a$.

    What is the smallest possible value of $a$?

    -----

    Remember to read the "POTW submission guidelines to find out how to "submit your answers!

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