"Surely there is not a university in Rome?"
Translation:Num universitas Romae est?
You can't use "num" with "-ne" as they contradict each other.
Num expect a negative answer, and -ne ask a yes-or-no question.
Num amas me?
I'm sure you don't love me, do you? Surely you don't love me? No!
Amasne me? Do you love me? Yes or no.
Nonne is the opposite of Num, and expects a positive answer.
Nonne me amas? Surely you love me? Yes!