Ongoing frequent BSOD, error 0x0000001E (no pattern as to when)

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AVG itself can be a cause of BSOD's. As a test I would recommend uninstalling AVG with its removal tool from here: Uninstallers (removal tools) for common antivirus software - ESET Knowledgebase

We recommended Microsoft Security Essentials from a strict BSOD perspective. Is most compatible & provides best stability compared to other antivirus app/Internet Security Software.

• Microsoft Security Essentials, Free antivirus for windows
• Malwarebytes Anti-Malware Free
• Good and Free system security combination

   Warning

Do not start the free trial of Malware Bytes; remember to deselect that option when prompted.

Run a full scan with both (separately) once downloaded, installed and updated.

Code:

lmvm iaStor
start             end                 module name
fffff880`01044000 fffff880`01198000   iaStor   T (no symbols)           
    Loaded symbol image file: iaStor.sys
    Image path: \SystemRoot\system32\DRIVERS\iaStor.sys
    Image name: iaStor.sys
    Timestamp:        Thu Jan 13 07:50:12 2011 (4D2E5A54)
    CheckSum:         0007188C
    ImageSize:        00154000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Please download the stable version of Intel Rapid Storage drivers from here:

• Intel® Rapid Storage Technology Version:11.2.0.1006

Sometimes drivers remain, not completely uninstalled. Follow this tutorial for complete removal of drivers of the particular program:

• How to Clean Left Over Driver Files with Driver Sweeper

Number down items at start-up. Keep only your anti-virus, this also improves the time for logging into windows.

• Click on the Start button
• Type “msconfig (without quotes), click the resulting link. It will open the System Configuration window.
• Select the “Startup” tab.
• Deselect all items other than the antivirus.
• Apply > OK
• Accept then restart.

Full tutorial:

• Startup Programs - Change
• Troubleshoot Application Conflicts by Performing a Clean Startup

Perform a System File Check to check the integrity of all protected Windows 7:

• Click Start Menu
• Click All Programs
• Click Accessories
• Right click Command Prompt
• Click Run as administrator
• Type
• Code:

  sfc /scannow

• and press Enter

Full tutorial here:

• SFC /Scannow Command - System File Checker

Check your hard drive(s) for errors by running chkdsk:

• Check your hard disk for errors
• Disk Check

Take memtest. Run for 8 passes and test each stick in a know good slot for an additional 6 passes.

• RAM - Test with Memtest86+

   Note

Pay close attention to part 3 of the tutorial in order to rule out the faulty stick.

   Information

Errors are sometimes found after 8 passes.

   Tip

Do this test overnight, before going to bed.

Let us know the results and further BSOD reports if you have them.

Download and install Revo Uninstaller free from here: Download Revo Uninstaller Freeware - Free and Full Download - Uninstall software, remove programs, solve uninstall problems

Opt for "Advanced Mode" and uninstall Malware bytes (also delete the leftover registry entries of mbam) then, reinstall malware bytes free and remember to unselect the free trial option.

Hope this helps, :)

I'm calling a friend to help you with RAM.

Can you upload the new dumps.

At startup try pressing F2 or F6 to bring up the boot priority choices, this will be a one-time change.
Did you unzip the memtest file and add to the formatted USB drive?

I believe on HPs its F9 for one time boot menu .

I got it from a HP support page but it did allow some models may be different.