Any problem where the inputs are ambiguous. Like when YouTube's ContentID takes down your video of you playing your original composition because someone else decided to claim it. Like when your Gmail account is closed because of a "Terms of Service" violation, but they won't tell you which one or show you what you did wrong. Basically most problems people have with Google could be solved by having a human spend 5 seconds looking into the issue and realizing, "Oh yeah, this is an edge case with an answer that's pretty obvious to a human, but not an algorithm."

Inequity, education, sustainability, public policy, governance - few examples where techno-solutionism isn't the right approach.

All problems are solved by humans; sometimes problem solving humans may use tools such as computers. Algorithms are just an automation that a human decided to use to solve a problem.

Whether an arbitrary program will end.

My half-serious reply: Figuring out what the problem is :)

“Computers are useless, they can only give you answers”

Security. Security cannot realistically be automated or scaled. Because any automated system at scale can be understood and gamed. And because humans interact with secure systems, and humans can be tricked. Even when you built a system that's say, cryptographically secure, you manipulate the humans to work around it, because humans aren't good at identifying cryptographic keys, and all automated systems serve human clients or masters.

This is why the Play Store and Chrome Web Store are full of malware, and why human-curated app markets have effectively zero.

Anything that involves interpretation of ambiguous scenarios (most famous: Twitter, YT and Facebook deleting legal content that falls under freedom of speech based upon abusive mass reports but refusing to account for patterns of trolling behavior), and much that requires creative input (i.e. photo/video composition, shooting and editing).

Any problem where the solution requires persuading people to adopt it or comply with it.

All those projects google shuts down? Those were problems they tried to solve but failed to.