I guess it's to definite arrangement in near future. __________I'm not crying. -> 난 울지 않을 거에요. __________I'm not eating. -> 난 먹지 않을 거에요. __________I'm not ready. -> 난 준비 하지 않을 거에요. __________I'm not sleeping. -> 난 안 잘 거에요. But reply on mine is also corrected. It is "present continous". And my reply is "plan of near future".

I'm not crying => 나는 울고 있지 않아요.(I take the meaning of the first sentence as in the point of present, I am not crying, but calm. Is it right meaning of that sentence?) I'm not eating => 나는 먹고 있지 않아요. I'm not ready =>나는 아직 준비가 되지 않았어요. I'm not sleeping => 나는 자고 있지 않아요. I wrote those Korean sentences based on the understanding that "Be verb(is,are) + ~ing" form expresses what the subject of a sentence is doing at the point of present.

나는 울고 있지 않아(be + ving) = 나는 안울어_I'm not crying. 나는 먹고 있지 않아_= 나는 안 먹어__I'm not eating. 나는 준비가 되지 않았어 = 준비 안됐(돼= 되+어) 어 _I'm not ready. 너눈 자고 있지 않아 = I'm not sleeping. I hope you like it^^

로 어떻게 말하나요? 안울어요/안울어 = I'm not crying. 안먹어요/안먹어 = I'm not eating. 준비안됬어요/준비안됬어 = I'm not ready. 안자요/안자 = I'm not sleeping.

울고 있지 않아요. = I'm not crying. 먹고 있지 않아요. = I'm not eating. I'm not ready =>take out. < sorry bad example. 자고 있지 않아요. I'm not sleeping => 나는 The subject can be eliminated. ----------------Okay. Sorry for number #3 / my error.