They didn't particularly care, but there was no need for it.
He didn't particularly care what kind of music they made.
There was no hot water, but he did not care about that particularly.
I don't particularly care what the outcome of the war is.
It was something else I didn't particularly care to discuss.
So long as she was no longer a threat, he didn't particularly care what his mother did with her.
I don't particularly care that it is and like the way things are going.
And I didn't particularly care how that need got met.
I was in no mood to play games, but he didn't particularly care.
The men didn't particularly care for the task at hand.