The city that is NOT located in the Basin and Range Province is Denver.

Denver, the capital of Colorado, is situated east of the Rocky Mountains, on the High Plains, and does not fall within the geographical boundaries of the Basin and Range Province. In contrast, cities like Las Vegas and Reno are prominent urban centers within the Basin and Range, characterized by the surrounding desert landscapes and mountain ranges. Salt Lake City is also located in proximity to the Basin and Range Province, as it lies near the western edge of the Rocky Mountains. Therefore, Denver stands out as the city not associated with this geological province.