That level of control/customization in not built-in to the site's default user interface.
But, the StackExchange Data Explorer ("SEDE") lets users create and run arbitrary queries.
SEDE queries run against an archived copy of the site data. The archive is generated / backed up each week-end (so a SEDE query won't detect the most recent i.e. this week's questions).
An example of a custom query is Find interesting unanswered questions.
To use this query, enter your own user ID, which I think is 295.
You can edit this query if it doesn't do exactly what you want. For example, this line ...
where (select count(*) from Posts a where a.ParentId = q.Id and a.Score > 0) = 0
... filters/removes (from the list of 'unanswered' results) all topics which have an answer which have a score of greater than 0. The two
0 in the above line correspond to the
n in your question title: you can edit the query to replace these
0 with other numbers, e.g.
For example the following looks for topics which have less than two answers that have a score of more than 1:
where (select count(*) from Posts a where a.ParentId = q.Id and a.Score > 1) < 2
This particular query tries to present/filter questions whose tags match the tags which you have historically been able to answer. If you want to remove that filter (so that you see questions regardless of their tags), I suspect it's sufficient to edit/remove this line from the query:
join #tags t on t.TagId = pt.TagId