Only 2 of the boroughs which make up New York City are on Long Island; they are Brooklyn and Queens. The other three: Manhattan, Bronx and Staten Island are NOT on Long Island.
Denver isn't in the Rocky Mountains - in fact, it doesn't even border them, it is separated by Golden and Lakewood (as well as some other suburbs). I'm only including cities located in the mountains. The directions do specify that that is what I'm looking for.