Sentence 1: what do you think of him

Sentence 2: Who cares what you think?
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Hardened and bitter, in search of a scapegoat, they occasionally lashed out at the weak.

Sentence 2: They were bitter in their search of a scapegoat, so they lashed out at the weak.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Not so the New York Times , which editorially called for legislation to overturn the ruling.

Sentence 2: The New York Times editor is personally involved in the situation.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell