a head-scratcher

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a head-scratcher

A thoroughly complex or difficult mystery, problem, puzzle, or riddle. I'm not sure how we'll be able to reach an agreement with the labor unions on this issue. It's a head-scratcher, to be sure. A: "What is weightless but can be seen, and if you put it in a bucket, it will make the bucket lighter?" B: "Hmm, I don't know. That's a real head-scratcher!"
References in periodicals archive ?
"We're hoping that can turn the corner over the next couple of days really but if not its looks like we're going to have to investigate more really because its a little bit of a head scratcher at the minute.
The disparity is a head scratcher in what is described as largely a seven-figure barter deal.
Today, STV, 9.30pm STV haven't been shy to axe big-name programmes in favour of more Scottish fl avoured shows so showing James Corden's World Cup Live is a head scratcher. Th e comedian and model Abby Clancy, girlfriend of England striker Peter Crouch, will - quite rightly - be fl ying the St George's fl ag but does a Scottish audience really want to see it after every World Cup game on STV?
By the Numbers, Lincecum Contract a Head Scratcher (http://bizofbaseball.com/index.php?option=com_content&view=article&id=4079:by-the-numbers-lincecum-contract-a-head-scratcher&catid=26:editorials&Itemid=39)
It's a good start, but the homoerotic undertone is a bit of a head scratcher, but I guess dudes kissing other dudes is so hot right now.
With more questions raised than problems solved, I guess chalk this one up to being a head scratcher. The final mystery: where to get it?