Reminders Do Not Go Away

I have OL2003 and Live Connector. The connector's account is the default
delivery for Outlook. I am not using any .pst files.

I have 3 computers - 2 lappys and 1 desktop.

Everytime I open Outlook on one of the computers, OL syncs with the Live
server.

Reminders are announced. Most of them are very old, or have already been
dismissed.

Even though I dismiss the reminders, they keep reappearing. This happens on
all 3 computers. It doesn't matter if I dismiss them on all 3 computers or
not.

It's a frustrating PIA.

Any help appreciated.

Thanks.