Hmmm toughie...
I would try something like the saws above...
or for more power....
you could try a Chain Saw.
However after much consideration and chatting to my local wood merchant, have been told not to advise the use of a SeeSaw !

On the serious side though (all joking aside):
MDF (Medium density Fibreboard) is man made from fibres and dust of wood which powder like. This is then bonded under high compression which inturn creates the wood. MDF is a
hazardous material when woking with it protection must be used! Any dust from cutting MDF has the simular properties as asbestos. So breathing the dust into the lungs is dangerous.
I use MDF to build Speakers and Sub boxes in cars. Its rigid and hard wearing, minimal flex in the wood creates nice deep punchy bass! But be very careful when working with it.