I often find myself spending too much time coming up with systems of equations for exercises for my students to practice on (that come out to nice integers). For two variables this is trivial, albeit annoying, but for three, four, five, etc variables it becomes increasingly more arduous. I was wondering if anyone knows of a program/website that will generate systems of equations with an arbitrary (up to at least four) number of variables.
Alternatively, any resource on generating systems of equations would be awesome. I have a feeling, based on google searches, that this ideal tool may not exist so I am totally willing to code it myself, but a starting point would be nice.