Mathew Wade (16) played a poor shot to be caught at mid-on by England captain Joe Root. But Smith, at the other end, was batting at another level as he negotiated left-arm spinner Jack Leach's spinning deliveries well and showed superb technique against Broad and Overton to work his way through.
England lost Joe Denly, opening for the first time with Jason Roy pushed down, for just 4 with Pat Cummins taking his wicket. Rory Burns was batting on 15 with nighwatchman Overton on 3.
For England in the first innings, Broad was the pick of the bowlers with figures of 3/97.