The
framework login is very restricted. About the only thing it is good for is "
cat /etc/shadow". Then copy your scrollback buffer into a shadow file on the host PC, and crack it with John the Ripper and my fiona wordlist.
But the easiest way to get the root password is to use the web page that lets you type in your kindle serial number and it tells you your root password. Look in the Tools index wiki.
EDIT: Okay, I looked up the password links for you:
https://wiki.mobileread.com/wiki/Tools_Index#Password
You can get your serial number in the settings "information" menu, or by using
Sir Alex's KDT program.
We do not encourage ad removal, but that information is not forbidden here, and you can find links to threads and kindle hacking wikis in the "kindle index wikis" that tell you how to do it. Start at the "master index" sticky thread...