I can't play the piano. (x)
Neither can I.
I don't like bananas. (x)
Neither do I
I didn't like that film. (x)
Neither did I
I have brought my laptop. (✔)
So have I
I'm tired. (✔)
So am I.
Lucy will come early tomorrow. (✔)
So will I
I studied a lot. (✔)
So did I
Sam won't go to the party. (x)
Neither will I
I haven't been to Italy (x).
Nor have I
I have to study today. (✔)
So do I.