Hallo Stanislavs Kapustins
I do not know how old or new your computer is, however, Ubuntu-Mate is sometimes said to be a distro that does not require too many system resources - that is, it will run well on older computers. This is not really true - that is not the main focus of Ubuntu-Mate. If the Ubuntu-Mate versions you try seem to be too much for your computer, you might have more sucess with “MX Linux”:
https://mxlinux.org/
If MX Linux does not run well on your computer, try to talk to someone at a nearby “LUG - Linux User Group” meeting. Your computer might be the problem.
Ubuntu-Mate is a very “easy-to-get-to-know” distribution and a very good place to start your journey with desktop GNU/Linux. I hope 16.04 works for you.
If you want more help you could let us know which CPU your computer has, and also how much RAM.