Question: We shan't have to take another taxi.
We have to use two more taxis.

Answer: no

Question: A privileged few get to see the great Delacroix paintings in the library, illustrating the history of civilization.
The Delacroix paintings in the library cannot be seen by everyone.

Answer: yes

Question: The Department of Defense (DOD) is responsible for the military forces needed to deter war and protect the security of our country.
The DOD has been under more strain in recent times.

Answer:
it is not possible to tell