Random BSOD on Dell Studio 9100

Pretty much all crashes were unable to create a dump file.
Please make sure your pc is configured for small dump files How to configure minidump | Windows 7 tutorial

Diagnostics Test

 System File Check

Please try following:

• Open an admin command prompt
• Copy/paste "sfc/scannow" (without quotes) and press enter
• When it finished reboot your system
• Open again an admin command prompt
• Enter sfc/scannow again

If sfc/scannow says "Windows Resource Protection found corrupt files but was unable to fix some of them" after the second SFC, please upload the cbs.log file located at {windows partition}\Windows\Logs\CBS\, if the file is too large try a 3rd party uploader like dropbox, onedrive, google drive, mediafire etc.
System File Check(SFC a.k.a. Windows Resource Protection) needs to have your system rebooted in order for sfc to try to fix the problems that it finds.

Make a photo of the result and post it.