#### Answer

($P\cap E^{\prime}\cap Q)^{\prime}$

#### Work Step by Step

$A^{\prime}$ is the complement of A (in $S$), the set of all elements of $S$ NOT in $A$.
$A^{\prime}=\{x\in S|x\not\in A\}$
For an element to be in $A\cup B$, it must be in $A$ OR in $B$.
For an element to be in $A\cap B$, it must be in $A$ AND in $B$.
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S: the set of all integers;
P: the set of all positive integers
E: the set of all even integers;
Q: the set of all integers that are perfects squares
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The set of all integers that are not positive odd perfect squares
NOT [ (positive) AND (Odd) AND (perfect squares)]
NOT [ (from P) AND (NOT from E) AND ( from Q) ]
($P\cap E^{\prime}\cap Q)^{\prime}$