Translate the following English sentences into our symbolic language using any of the three truth functional operators $($i$.$e$.,$ conjunction, negation, and disjunction$).$ Use the constants at the end of each sentence to represent the atomic propositions they are obviously meant for. After you have translated the sentence, identify which truth$-$ functional connective is the main operator of the sentence. $($Note: not every sentence requires parentheses; a sentence requires parentheses only if it contains more than two atomic propositions$).$

Bob does not know how to fly an airplane or pilot a ship, but he does know how to ride a motorcycle. $($A$,$ S$,$ M$)$

Tom does not know how to swim or how to ride a horse. $($S$,$ H$)$

Theresa writes poems, not novels. $($P$,$ N$)$

Bob does not like Sally or Felicia, but he does like Alice. $($S$,$ F$,$ A$)$

Cricket is not widely played in the United States, but both football and baseball are. $($C$,$ F$,$ B$)$

Tom and Linda are friends, but Tom and Susan aren't $-$ although Linda and Susan are. $($T$,$ S$,$ L$)$

Lansing is east of Grand Rapids but west of Detroit. $($E$,$ W$)$

Either Tom or Linda brought David home after his surgery; but it wasn't Steve. $($T$,$ L$,$ S$)$

Next year, Steve will be living in either Boulder or Flagstaff, but not Phoenix or Denver. $($B$,$ F$,$ P$,$ D$)$

Henry VII of England was married to Anne Boleyn and Jane Seymour, but he only executed Anne Boleyn. $($A$,$ J$,$ E$)$

Henry VII of England executed either Anne Boleyn and Jane Boleyn or Thomas Cromwell and Thomas More. $($A$,$ J$,$ C$,$ M$)$

Children should be seen, but not heard. $($S$,$ H$)$