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We pose the following new variant of the Kuratowski closure-complementproblem: How many distinct sets may be obtained by starting with a set $A$ of aPolish space $X$, and applying only closure, complementation, and the $d$operator, as often as desired, in any order? The set operator $d$ was studiedby Kuratowski in his foundational text \textit{Topology: Volume I}; it assignsto $A$ the collection $dA$ of all points of second category for $A$. We showthat in ZFC set theory, the answer to this variant problem is $22$. In adistinct system equiconsistent with ZFC, namely ZF+DC+PB, the answer is only$18$.

A Kuratowski closure-complement variant whose solution is independent of ZF