Question:
It takes little imagination to speculate that JQA felt liberated to enjoy this second career only because on July 4, 1826, midway through JQA's presidency, his venerated old man passed away.

Does it follow that "You have to use your imagination to guess if JQA felt free to start a new career because he never addressed it in writing."?
Answer:
it is not possible to tell

Question:
The divorce cost Hudson its biggest client and inaugurated Burger King's campaign to persuade customers to continue eating its meat.

Does it follow that "Hudson lost its biggest client in the the divorce and started Burger King's campaign to keep customers buying their products."?
Answer:
yes

Question:
You see, you know rather an inconvenient amount.

Does it follow that "It is convenient that you have already learned this much."?
Answer:
no

Question:
Today, one of the island's greatest attractions is the quiet poplar-shaded streets to the western end of Quai d'Orleans where you have a wonderful view of the apse of Notre-Dame.

Does it follow that "One of the island's attractions is the beautiful street."?
Answer:
yes