A delivery truck makes five stops in order: A, B, C, D, and E. At stop A, it loads 10 packages. At stop B, it unloads 3 packages and loads 5. At stop C, it unloads 4 packages. At stop D, it doubles the current number of packages on board. At stop E, it unloads half of its packages. How many packages remain on the truck after stop E?