Meanings of sleuth out in English

That my father would try to sleuth out the source of my behavior?

When the book arrived, school officials tried to sleuth out how it had traveled across the country.

When the book arrived, school officials tried to sleuth out how it had travelled across the country.

The funny part of it all is that we never suspected there was a sleuth out after us!

And there's one called Sherlock, which targets RNA instead of DNA, and can sleuth out the presents of viruses.

When we're camping, they sleuth out where I've hidden the hatchet and swing it around, pretending to be pirates.

There's no need to sleuth out the significance of a selection of partially effaced still-life paintings or a dim room visible through an interior window.