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'unsolvable problem' is a correct and usable phrase in written English.
You can use it to describe a situation that cannot be resolved or solved. For example: "The environmental crisis is an unsolvable problem that we must all work together to fix."
Exact(59)
For an artist, how to comment on this state of affairs without risking infringement remains an unsolved — perhaps unsolvable — problem.
When I was a new student at MIT, there were legends of a math class in which the professor would occasionally assign an unsolved (and possibly unsolvable) problem.
Even if it's an unsolvable problem".
Homelessness is not an unsolvable problem.
I do not see this as being an unsolvable problem".
The operation had run into an unsolvable problem.
Seating became more restricted, and the rapid retrieval of baggage seemed to remain an unsolvable problem.
An unsolvable problem of the past might not seem like fertile ground for debate.
This is no unsolvable problem if we face it wisely and courageously.
"The whole field was a seemingly unsolvable problem, and everyone gave up on it.
Similar(1)
Blockchains, Allen told me, are critical to such identity systems because they solve previously "unsolvable" problems.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com