I have a client who wanted to know which objects had encountered errors on their way to be provisioned to Live@edu from the Hosted MA.

No one had ever asked me before and a quick search turned up the CSEntry tool. It's super simple:

In a command prompt, nav to c:\program files\microsoft identity integration server\bin

The command to get all of the export errors on the Hosted MA is:
Csexport Hosted c:\log\HostedExportErrors.xml /f:e /o:e

http://certsrv.ru/fim2010.en/html/d08e473a-483e-4de1-8585-068ec5405119.h... provides more information on the parameters and options. You can get more than just errors--you can find all disconnectors, etc.