I believe this is impossible, currently, but I often find myself wanting to look at questions that abide a pretty specific set of criteria. It would be useful to have some kind of a tool that lets you search for those, similar to an SQL query.
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Use the following search term:
This will find all questions that have tags
You can check the Unanswered -> No answers tab for questions with no answers, or Unanswered -> My tags to get questions with no upvoted answers in your favourite tags, but I don't think there's a way to mix & match both.
This will almost do the job:
However, a solution for this is to use that query and sort by votes and start searching from the last page.