sure it does, its been posted here many times.
the number of girls that have died from it
compared to the number of people who die from cervical cancer
as percentages of the population
simple, really
Do the math and post it.
9 people have claimed a death due to HPV vaccine, as of a few days ago.
http://www.hrsa.gov/vaccinecompensation/statisticsreports.html#Claims
Now historically injury and death claims have been shown false about 3 to 1 but let us use the claims as the risk number, more conservative that way.
More than 35 million does of gardasil have been given out.
http://www.cdc.gov/vaccinesafety/vaccines/hpv/gardasil.html
So consider the incident of death 9 per 35,000,000 or about 26 per hundred million.
Now we get over 4,000 deaths per year, every year, for cervical cancer. Since we only can vaccinate for 70% of the causes we will use 70% of the deaths = 2,800.
http://www.cdc.gov/cancer/cervical/statistics/
There are were 156,958,212 women in the 2010 census. Now this includes many who would not be at risk but lets count them all, it makes a more conservative estimate, leaning more towards your claim.
http://www.census.gov/prod/cen2010/briefs/c2010br-03.pdf
So we have 2,800 per 156,958,212 or 1,783 per hundred million per year of deaths.
It has only been proved to protect for 5 years, it might be a lifetime, but let us use 5 years. That makes 8,915 per hundred million.
So the occurrence of death by the strains of HPV protected by the vaccine are at least 342 times greater than the vaccine. I know it is much more than that, but for every assumption or rounding, we went in favor of your claim.