Sentence 1: No, don't dismiss it.

Sentence 2: No, don't release it.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Most fans prefer that such wrecks not occur, but when they do, fans pay justifiably close attention to the driver's fate.

Sentence 2: Fans don't pay much attention to wrecks.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: She always signed herself Rita Vandemeyer.

Sentence 2: Rita Vandemeyer was not her full name.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell