This is as minimal of an issue as possible, but how about a small minimize button that makes the problem tags part of problems in practice room hidden by default?
The thing is although tags are useful to find problems or to know the classification of a problem once you give up, when you try to solve a problem for real they sort of give away the classification while you are reading the problem statement.
You can find it at Settings -> Show tags for unsolved problems
In your account settings there is the option to disable the tags for unsolved problems. (edit: megaterik was faster than me :( )
Ok then, but a small button to toggle them in one click would be nice, because sometimes you do want to see them and having to go to settings so frequently can be annoying.