Hi Michael,

On Feb 1, 2:37 am, Michael Beeson <[email protected]> wrote:
> I let Mathematica run a similar problem for 36 hours with no reply;
> but I don't understand why it's too difficult.

Indeed, not easy.

By the way, in your first example, you defined
sage: R.<z,p,q> = QQ[]
sage: a = z^2 - z^-2
sage: f = z^2 *(p-a)

At that point, f is not considered a polynomial, although f does not
contain negative powers. You asked how to make Sage know that f is a
polynomial. Here you are:

sage: f = R(f)
sage: f.resultant(z-p)
-p^4 + p^3 + 1

Cheers,
Simon

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