>This makes me feel mentally disabledYou're a namefag, of course you feel that way. Drop that junk.
That's set theory, with a couple of complex numbers. I'm assuming you know what those are. If not, look it up.
I'm not great with (nor generally interested in) mathematics, but if I'm reading it right (Q = the set of rational numbers, which is normal for the blackboard-bold symbol Q,
https://en.wikipedia.org/wiki/Rational_number , and the final question being what is the intersection between the set S and Q) then it's just asking which of the 6 elements of the set S are rational.
So for example, 1/3 and 22/7 are obviously rational, [pi]/3 is obviously not, and so you need to figure out if the other 3 are rational. I forget all my trig and odd/even powers of those complex fractions so someone else needs to sub in.