This is the 6007th most frequent Polish word.
żaden
"Żaden" means "none" or "no" (used to indicate the absence of any).
Here, 'żaden' is used in its negative agreement form to reinforce the negative sentence.
Nie mam żaden problem z tym rozwiązaniem.
I have no problem with this solution.
In this sentence, 'żaden' indicates neither of the specified options are chosen or preferred.
Żaden z tych samochodów mi się nie podoba.
I don't like any of these cars.
Here, 'żaden' represents the lack of any student performing the action.