Find the equation of the ellipse in standard form if distance between directrix is $18$ and eccentricity is $\frac{1}{3}.$

Find the equation of the ellipse in standard form if minor axis is $16$ and eccentricity is $\frac{1}{3}$.

Find the equation of the ellipse in standard form if the distance between foci is $6$ and the distance between directrix is $\frac{50}{3}$.

Find the equation of the ellipse in standard form if the latus rectum has length $6$ and foci are $\left(+2,0\right)$.

Find the equation of the ellipse in standard form if passing through the points $(-3,1)$ and $(2,-2)$.

Find the equation of the ellipse in standard form if the distance between its directrix is $10$ and which passes through $(-\sqrt{5},2)$.

Find the equation of the ellipse in standard form if eccentricity is $2/3$ and passes through $(2,-5 / 3)$.

If an eccentricity of an ellipse is 2/3 and it passes through (2, −5/3) such that its equation is $\frac{x^2}{m}+\frac{y^2}{n}=1$ then find the value of $m+n$.