Find all integer values of aa such that the expression x5−x4y2+13x4y−13x3y3+30x3y2−x3y−30x2y4+x2y3−13x2y2+13xy4−30xy3+30y5\begin{align*} &x^5-x^4y^2 + 13x^4y-13x^3y^3+30x^3y^2 \\ &-x^3y-30x^2y^4 +x^2y^3-13x^2y^2+13xy^4 \\ &-30xy^3+30y^5 \end{align*} is divisible by x+ayx+ay.

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