I have created a Chrome user profile on a computer that is no longer trusted to sync my data to. How can I remotely delete this user to stop data from syncing on that device again? How can I delete the past synced data?

You can use the "Google Dashboard". Please see "Google Sync" title on that page. https://www.google.com/dashboard Manage Chrome Sync > Stop and Clear

Not sure what your wanting to do exactly, are you wanting to remove a synced device from your google account or delete a google account entirely? Remove a synced device from google account-  It used to be a lot easier, you could even see the computers your were synced on, but unfortunately that has changed. You will need to go to the 2 step verification page of settings, go to trusted computers tab, and require a code for all other computers. this will log all open accounts out and require a password and verification code on next login. Delete a google account - sign into google accounts page,  go to Data tools, delete account and data (note, this will delete your google account and all data from googles server) As far as removing past synced data on a device remotely, you cant. The data is stored locally and in the cloud. you would have to access the physical device and do a full uninstall of google chrome. ( Just uninstall will leave behind the local data, all someone has to do is reinstall chrome and the local data will still be there.