Calculator.app won't open
When I try to launch the standard MacOS calculator app, its icon appears in the dock, but it won't open its window, and its menu does not appear in the menu bar (which is greyed out until I focus somewhere else). If I click on it in the dock and choose "Show All Windows" I get "No windows available". I can also choose "Quit" and it quits and disappears from the dock.
The problem has survived a reboot and happens regardless of where I start calculator from. I have macOS Sierra patched up to date. I have no files that look like they belong to calculator in ~/Libraries/Preferences or ~/Libraries/Caches.
iMac (Retina 5K, 27-inch, Late 2014), macOS Sierra (10.12.6)