Two variable quantities A and B are found to be related by the equation given below. What is the rate of change $d\frac{A}{d}t$ at the moment when $A=5$ and $d\frac{B}{d}=2?$

$A^3{B}^3=152$

$\frac{dA}{dt}=$ when $A=5$ and $d\frac{B}{d}t=2.$

$($Simplify your answer.$)$

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