Solving a linear diophantine equation is an application of the Smith form.

A quadratic diophantine equation can be solved with the Hasse-Minkowski 
theorem, though thats is definitely more advanced 
(http://en.wikipedia.org/wiki/Hasse%E2%80%93Minkowski_theorem)

If its not one of these cases then you are pretty much out of luck ;-)

On Saturday, December 8, 2012 5:46:00 PM UTC, Robert Dodier wrote:
>
> Hello, is there a way to solve Diophantine equations in Sage?
>

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