Google stores our website data like millions of other websites. We don't have active control over what Google stores, and that data is not always up to date. However, you can request Google to remove a link using their Request removal tool.
If you have deleted/inactivated your teaching profile but it's still showing up on google search, copy the link as is displayed in Google search results and request Google to remove it using Google url removals tool.
If you posted your requirements and you don't want google to see them, first close your post so it's not publicly available. Then request google to forget that request page using Google url removals tool.