Thanks for the advice. I did run Malwarebytes and it found some spyware that Spybot didn't catch. However, the iexplore.exe process was still starting on its own. I talked to the head IT guy where I worked and he gave me a usb drive with Combofix.exe that he downloaded from BleepingComputers.com. I ran it and it worked. The iexplore.exe does not show up anymore in the process list. My computer is working again.