Try to generate a random matrix modulo m using, say, examples from the ?LinearAlgebra,Modular,Random help page.

Studying the integral bug discussed in Axel Vogt's blog, I met the following,

residue(arctan(z)^2/(1+z^2),z=I);

                                 1/2      1/2 2
                                2    (z I)
                       1/2 I ln(-------------)
                                      2

Not talking whether the residue has sense in this case, or not, having z in the answer is very wrong.

Alec

Following the midi crash course written by Daniel White, and using a table of midi note numbers, it is rather easy to write a Maple procedure producing midi files. Here is an example that I posted in Simple Sounds thread, slightly modified by adding an instrument as a 3rd parameter:

Maple 12.02 is now available. The Maple 12.02 update includes enhancements in a variety of areas, including:

Reduce became free and is available for download.

Alec