I have a Lenovo ThinkPad X1. And the nums lock symbol comes on seemingly randomly. And I have no idea why it appears or how to get rid of it. On the X1 I have no nums lock key. Suggestions?

Do you have a "num lock" key in 'blue' which uses a "Fn" key along with another key with blue Letters or symbols.

If nothing there, try going into the CMOS/BIOS settings to see if there's a Bootup setting to turn the num lock "on" when booted up. I'm not sure about Laptops but there's a setting in Desktop computers for that.