kmp-downloader is a simple program that allows you to install fresh new kernel versions from the ubuntu kernel mainline ppa.
As it is, the mainline is not an actual "ppa" (personal package archive) and doesn't allow people to use apt-get to upgrade.
You may need python beautifoul soup (python-bs4) or execute:
sudo apt-get install python-bs4
How to use it
You may download it using this quick link: https://github.com/medigeek/kmp-downloader/tarball/master
Save the archive and extract the files. Double click on kmpd.py (execute in terminal). If you're not sure about an option, press Enter and it will select the default answer.
You may also execute this command (one-liner):
cd /tmp; rm -rf medigeek-kmp*; wget --no-check-certificate https://github.com/medigeek/kmp-downloader/tarball/master -O kmpd.tar.gz; tar xzf kmpd.tar.gz; cd medigeek-*; python kmpd.py
You will be asked a series of questions, where you either reply by "Y" or "N" (yes or no) or simply press enter and let the program figure out the default reply (mentioned in square  brackets). It will then install the appropriate debian packages.
Note: it will not fix the problems with other packages. I suggest running linux ppa packages without dkms package (without closed source packages like nvidia driver or virtualbox driver), in order to have a smooth, errorless installation.
To uninstall the kernel packages, remember to boot to a different kernel image first. Then you can use your favourite package manager to uninstall the packages.
If you prefer the command line, if you installed version 3.5.3, you can uninstall it using this command:
sudo apt-get purge linux-image-3.5.3.* linux-image-extra-3.5.3.* linux-headers-3.5.3.*