What are the complex carbohydrates made of long chains of simple sugars?

If you're in a science or Biology class, I would refrain from using the Word "sugar". Sugar is too vague of a term to use when dealing with carbohydrates - same goes for lipids and "fat". However, by "sugar molecule", I think you're looking for the monomer of a carbohydrate molecule: monosaccharide. These monosaccharides can come together to form a disaccharide (two monomers) or polysaccharides (more than two monomers).