We analyse d = 10, N = 2 supergravity and d = 10 Maxwell-Einstein theory with a cosmological constant for possible cosmologies. In the former case we find either an oscillating (3+1)-dimensional anti-de Sitter universe with a constant value for all fields on the remaining (internal) dimensions, which are CP 2 × S 2, or all internal-dimension fields are changing in time. In the latter case a variety of solutions are possible of a power-law form, as well as the previous oscillating case. In the oscillating cases the induced cosmological constant is less than 10 −120 M p1 4.