BSOD Randomly Restarts/Crashes my computer

When you have a BSOD you need to post new logs like you did in post #1.

Code:

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Use !analyze -v to get detailed debugging information.

BugCheck 116, {fffffa8009f79010, fffff8800f9dd2bc, ffffffffc000009a, 4}

*** WARNING: Unable to verify timestamp for nvlddmkm.sys
*** ERROR: Module load completed but symbols could not be loaded for nvlddmkm.sys
Probably caused by : nvlddmkm.sys ( nvlddmkm+99b2bc )

Followup: MachineOwner
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10: kd> lmvm nvlddmkm
start             end                 module name
fffff880`0f042000 fffff880`0fc83000   nvlddmkm T (no symbols)           
    Loaded symbol image file: nvlddmkm.sys
    Image path: \SystemRoot\system32\DRIVERS\nvlddmkm.sys
    Image name: nvlddmkm.sys
    Timestamp:        Mon Nov 11 23:54:05 2013 (5280DA75)
    CheckSum:         00C10283
    ImageSize:        00C41000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Video driver still seems quite old - is that the very latest available? If so, you might be out of luck - the card might be too old to support LoL.