Negate each of the following and simplify the resulting statement.
a) p ˄ (q ˅ r) ˄ (¬p ˅ ¬q ˅ r)
b) (p ˄ q) → r
c) p → (¬q ˄ r)
d) p ˅ q ˅ (¬p ˄ ¬q ˄ r)
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