No equality ,So much differntiation

Calculus Level 3

\[\frac {\left(\dfrac {dy}{dx} \right)^7 \dfrac {d^3x}{dy^3} +\left(\dfrac {dy}{dx} \right)^3 \dfrac {d^3y}{dx^3}} {\left(\dfrac {dy}{dx} \right)^2 \left(\dfrac {d^2y}{dx^2}\right)^2} = \ \large ? \]

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