Ax+By+....Cw+Ez=F  
Coefficients of the diophant equation and the free term (through space)  

Original diophant equation 
A private solution to this equation 
Returning to earlier written articles, on the diophantine equations some reconsideration written came, and it is ready to present fast search of a frequent solution of any complexity (with many variables) the linear diophantine equation.
The solution differs a little from the fact that it is possible to find in network.
Descriptive part of an algorithm will be a bit later when I am able to display the common decision, and not just private.
That it would be desirable to tell:
You should not check correctness of the calculator with check of a solution of the equation with two unknown. For this purpose there is other calculator, and this calculator is intended for a solution with many variables (three, ten, twenty etc.)
Now several examples
Original diophant equation 
A private solution to this equation 
Original diophant equation 
A private solution to this equation 