Good problem book in differential geometry

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What are the books in Differential Geometry with a good collection of problems? At present I am having John M. Lee's Riemannian Manifolds, Kobayashi & Nomizu's Foundations of Differential Geometry. I particularly like Dieudonne's books in Analysis as well as books like Alexander Kirillov's Functional Analysis. To be precise, the books that have a huge number of exercises. The books I mentioned are definitely not of that category. Can anyone please suggest differential geometry books that gives a lot of exercises?

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John M. Lee's Introduction to Smooth Manifolds is also a great book with lots of exercises.