If you exert an input force over a greater distance than the distance exerted by the output force for an ideal machine compare the size of the input and output forces?

In an ideal machine, the input force will be smaller than the output force when the input force is exerted over a greater distance than the output force. This is because work input and work output must be equal in an ideal machine, and since work = force x distance, a smaller input force over a greater distance will result in a larger output force over a shorter distance to maintain equilibrium.