Hi,

> I'd be willing to work on any algebra-related task, and I'm willing
> to take up projects which rank as hard.  It is important thus that
> I know which of the such projects are of more relevance to SymPy.

Another topic which I think is quite relevant is symbolic summation
and related subjects. So I'd like to suggest the topic:

"Implement Karr algorithm, a decision procedure for symbolic summation"

There is a great deal of algebra in this task ...

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