"Я не хочу жити в місті!"

Translation: I do not want to live in a city!

[PotatoSanta]

Why not 'the' city?

[adamz]

Yes I agree. It should be synonymous.

[damagyar]

Since the sentence seems neither to imply a specific city, requiring a definite article (the) nor one in general, requiring an indefinite article (a), I too feel both choices (a/the) should be accepted.