A calculus problem by Harsh Gupta

Calculus Level 4

\[ f(x) = x^2 + x g'(1) + g''(2) \\ g(x) = f(1) x^2 + x f'(x) + f''(x) \]

Find \(g(0) + f(3) + f(1) + g''(2) + f''(0) \).

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