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Find the sum of all positive integers aaa such that for some positive integer bbb the ratio xb+x−1xa+x2−1\frac{x^b+x-1}{x^a+x^2-1}xa+x2−1xb+x−1 is a polynomial in x.x.x.
Details and assumptions
If a=2,a=2,a=2, then the denominator is 2x2−1.2x^2-1.2x2−1.
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