Smith completed 16-of-25 passes for 219 yards with a touchdown and also ran for a score, compiling 50 rushing yards on five caries as the Jets (6-7) snapped a three-game losing streak.
Smith was pulled from New York's previous game, a 23-3 loss to Miami.
Oakland's Matt McGloin, splitting time with Terrelle Pryor behind center, made good on 18-for-30 passes for 245 yards, two touchdowns and an interception.
Marcel Reece racked up 123 rushing yards with a touchdown for the Raiders (4-9).
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
Astronomers offer more expansive view of universe