In my limited experience it is best to let Sage handle the symbolic
computations explicitly. Then specify sympy ( algorithm='sympy') as a
check on important solutions or when the default gives an error. When
working on advanced problems it is always best to have a backup and a check
on your
The main problem facing Sympy may be performance, because they explicitly
use Python for everything. It shows for example
in https://github.com/sympy/sympy/issues/2635
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