On a cross-country journey the distance travelled at a given time by a wagon caravan is given by the equation:

p(t) = t^5 + 2t^3 - t^2 + 12

Starting at t = -1, one of the wagons starts moving on its own at a constant rate, and rejoins the caravan at t = 1. What is the equation that this lone wagon follows during this time interval?

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