If I cut a perfectly circular pizza through its center 6 times at 30° angles, I get 12 pieces of equal area.
If I don't have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area.
Theoretically I could cut the pizza into a total of 22 pieces using 6 cuts, but more often than not none of them would be of equal area.
For 6 cuts, what is the largest number of pieces of equal size I can obtain (using only straight cuts that go through the entire pizza)? What about $n$ cuts?
And since people are posting answers to this effect, no, you are not allowed to fold the pizza or rearrange slices. This is not a lateral thinking puzzle.