Could swear I had a book with these sorts of puzzles but I can't find it.
So I'm looking through the internet for a good source to post - not original, but it is something - and I find this one:
I can't solve it. Even ran a quick script to try every possible combination of ((# _ #) _ #) _ # and nothing works. So I'm figuring there must be some trick in the phrasing, except I'm not seeing a loophole in there: "each number exactly once" using the "binary operations" of "addition, subtraction, multiplication, and division". (And in fact, creating operators like negation and exponent still isn't enough to get a solution.)
Non-answer: if the goal is to be legally an adult then coming up with 22 would be fine too.