Try running an ePSA/Diagnostic test on the system, click here to view a Dell article that explains how to run this test. Let me know if you receive any errors.
The ntoskrnl.exe BSOD is usually related to memory so you might need to reset it. If you're overclocking your system with a higher CPU clock speed, put this back to normal as it might be causing problems.
If you have a RAID setup of disk drives, update your drivers. Also update other drivers for hardware as this problem can be caused by drivers not matching the OS.
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