Aye, and I apologize, I left out two factors in weight at the poles vs. weight at the equator. Centripetal force causes you to weigh less at the equator, and also being farther away from the center of mass. All of these factors lead to a net INCREASE in weight at the poles, not a decrease. The centripetal(which is from the rotation of the earth) can be calculated out to give you a cleaner look. However, you'd still likely weigh more at the pole, regardless of the extra mass, due to the denser core.