perhaps the comma from the link must be deleted:  http://tinyurl.com/3atamuj
otherwise, http://www.cargalmathbooks.com/11%20Division%20Mod%20n.pdf

The CRT would solve the first problem where all moduli are prime, but
the 2nd problem has a composite modulus.

Hector is working on a congruence solver and that is nearly ready (so
that would solve the first problem) but I'm wondering if we should
have some ModulusNumber class to allow for such simple arithmetic as
presented in the 2nd problem. There is an old posting giving such a
class at

http://www.python.org/search/hypermail/python-1994q1/0523.html

There is also the online calculator at http://ptrow.com/perl/calculator.pl

Thanks for the suggestions,
/c

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