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Calculus Level 5

\[\large{f (x) = \dfrac{(x^2 - 2x )( 2x^2 -5x -3)}{( 2x^2 + 3x -2)( 14x - 45 - x^2)}}\]

If the number of points where the above function is not continuous is \( A \) (also count the real numbers where the function is undefined), the number of local maxima is \( B \), the number of local minima is \( C \) and number of integers not included in range is \( D \). All \(A\), \(B\), \(C\) and \(D\) are whole numbers.

Enter your answer as \( A + B^2 + C^3 + D^4 \).


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