I installed Fedora-23/KDE on a Thinkpad T60 (32-bit) from the appropriate Fedora/KDE spin.
After installation, the machine randomly stopped working. On googling, I read a suggestion to disable the touchpad in the BIOS. I did this, and find that it has made the system workable.
The laptop works fine under kernel 4.2.3-300.fc23.i686 , which is one of the two kernels offered. However, it does not work under the default kernel 4.2.5-300.fc23.i686; nothing appears on the screen after choosing the kernel, and Ctrl-Alt-F2 does not open a text console.
Another Thinkpad, T510 (64-bit) works fine under Fedora-23/KDE under the three kernels 4.2.{0,3,5}-300.fc23.x86_64 .