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This answers it all

According to research (in the US), cervical cancer deaths are a lower risk than having an adverse reaction to the Gardasil vaccine.

There is another vaccine they use, called Cervarix. Gardasil vaccinates against 2 strains, Cervarix is 4 strains I think (I may have them mixed around, it's late), but this fact says a lot really...
This is from 2009. I am pretty sure it has been debunked. I will find the research if I can and post it.