Student Apartments For Rent In Salt Lake City . 702 s main st, salt lake city, ut 84101. In total, there are 81 student housing options available near university of utah. Carriage Cove Student Living Apartments Provo, UT from www.apartments.com Housing overview at university of utah on average, rent for apartments near university of utah is $1,414/mo. Salt lake city 3 bedroom apartments; In total, there are 81 student housing options available near university of utah.