Blue Screen problem, seemingly at random - error 0x0000007E

Freeride

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Hello, I have a problem with an old computer in that I get Blue Screen seemingly at random throughout the day. It may happen just once or 3-4 times a day. The errors I get are different, here is a picture of the last one.
View attachment 395975

Output from DM Log Collector:
View attachment 395976

The system specs are in my profile.
So far I have:

1) Reinstalled Windows on same HDD;
2) When this didn't help, I replaced the HDD and reinstalled Windows again - no change;
3) Replaced the RAM - no change;
4) Ran tests on CPU, FPU, memory, cache and disks - everything seems to work fine, except about 1 minute into the FPU test the program module crashes (but I *don't* get the Blue Screen);
5) Scanned the disks for errors again and again - CHKDSK doesn't find any problems.

This is getting pretty annoying. Can someone please help?
Thanks in advance.
 

My Computer

Computer type
PC/Desktop
OS
Microsoft Windows 7 Ultimate 64-bit 7601 Multiprocessor Free Service Pack 1
CPU
Intel(R) Core(TM)2 Duo CPU E8400 @ 3.00GHz
Motherboard
Intel Corporation DG33BU
Memory
2.00 GB
Graphics Card(s)
Intel(R) G33/G31 Express Chipset Family (Microsoft Corporati
Sound Card
High Definition Audio Device
Screen Resolution
1280 x 1024 x 32 bits (4294967296 colors) @ 60 Hz
Hard Drives
WDC WD5000AAKS-22V1A0 ATA Device
No one really knows what may fix the problem?

P.S. I I installed Linux on another HDD and there are no problems with it so far, so it seems it's not a hardware issue.
 

My Computer

Computer type
PC/Desktop
OS
Microsoft Windows 7 Ultimate 64-bit 7601 Multiprocessor Free Service Pack 1
CPU
Intel(R) Core(TM)2 Duo CPU E8400 @ 3.00GHz
Motherboard
Intel Corporation DG33BU
Memory
2.00 GB
Graphics Card(s)
Intel(R) G33/G31 Express Chipset Family (Microsoft Corporati
Sound Card
High Definition Audio Device
Screen Resolution
1280 x 1024 x 32 bits (4294967296 colors) @ 60 Hz
Hard Drives
WDC WD5000AAKS-22V1A0 ATA Device
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