I am wondering whether there is any software package that can compute Groebner bases for noncommutative algebras defined over the field of rational functions $\mathbb{Q}(q)$.

I have tried the GAP package GBNP but I can't seem to even construct $\mathbb{Q}(q)$ in it, much less define an algebra over it.

I have also tried the Mathematica package NCGB released by UC San Diego, but it suggests that I specialize to a rational value of $q$, which is not what I want to do.

Free software is preferred, but I am also interested in finding out if there is proprietary software that can do the job. Does Magma do this?