This app was mentioned in 6 comments, with an average of 2.33 upvotes
As for backups - Texas intruments have all of their calculators' OSs available on their homepage. You'll have to register an account with them, but that's all.
As for the calculator not accepting new OSs, you'll need to be more detailed than that. What calculator is it, and what error message does it give?
Also, are you allowed to use a mobile phone with a calculator app? This app emulates a variety of TI calculators on your mobile phone - the ROM is available on TI's homepage, once you register an account.
Are none of the scientific calculator apps for Android any good?
For example: AlmostTI