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Usually blue screens means, bad memory, so to check that go to Memtest86.com - Memory Diagnostic
Over there, download the latest version ISO image. Then burn the ISO on to a CD. And then you boot off the CD, and the memtest program will run automatically. This will scan your RAM, for errors. If it detects a lot of errors, than it is bad memory.
edit: Run it for a good couple of hours, like hefemeister said.