HP Desk Top Computer Stopped Working

I purchased a desk top computer five months ago and it suddenly stop working. I have spent the last three days 3-4 hours on the phone with non english specking techs. I have been placed on hold for a least 30-40 minutes when they try to get a supervisior who cannot help as well. I have performed every test they requested for me to do at least three times. The computer still does not work. I keep explaining this to them to no avail. I do not want to file a complaint with the AG of Arkansas or the BBB.I just want to get my computer fixed or exchange for a new one. I have got pictures on the computer that I would not want to lose. So one should be able to make a decision even if is the wrong one.