rodehall,
There are no such objects like reminders itself in the Outlook.
Probably, you have duplicates of appointments or tasks with reminders set.
If you know exactly what type of Outlook items have reminders (after using mfcmapi.exe) then you can use
Remove duplicate task or
Removes duplicate calendar items utilities. If you not sure what type of items have reminders you can run
Duplicate Outlook items report utility to find it out.