Sage hangs on the following input:

sage: K.<p,d,e,N> = FractionField(PolynomialRing(QQ,4,'pdeN'))
sage: R.<x> = K[]
sage: a = x-x^-1
sage: b = x^6-x^-6
sage: c = x^7-x^-7
sage: X = p*a + d*b + e*c
sage: F = N*a*b*c - X^2*(x-x^-1)

and also on this closely related input

sage: K.<p,d,e,N> = FractionField(PolynomialRing(QQ,4,'pdeN'))
sage: R.<x>= K[]
sage: a = x-x^-1
sage: b = x^6-x^-6
sage: c = x^7-x^-7
sage: X = p*a + d*b + e*c
sage: F = N*a*b*c
sage: G = X^2*(x-x^-1)
sage: F = F-G

but if the last line is changed to
sage: F = R(x^15*F) - R(x^15*G)

then it works fine.

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