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"challenging problems" is correct and can be used in written English.
You can use it when you want to refer to problems that are difficult to solve. For example: "The teacher gave us a set of challenging problems to complete."
Exact(60)
3. Frederick Mosteller: Fifty Challenging Problems in Probability.
"I like challenging jobs, I like challenging problems, I like driving change.
Movement spurs creativity and helps solve challenging problems.
This is the point that creates challenging problems in practical systems containing large number of receivers.
The mapping process raises two new computationally challenging problems.
Student teams confront technically challenging problems.
All of which are challenging problems.
Curious about solving challenging problems for the betterment of society.
Paediatric autoimmune hepatitis presents its own set of challenging problems.
Working with children with challenging problems can be a tough process for residents and staff alike.
Seems like an abdication of responsibility, given the challenging problems in the state's immediate future.
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