If you were a physicist trying to determine the gravitational constant and you were able to measure the force of gravity exerted between two objects, their masses, and the distance between their centers, how would you rewrite this formula?

Even though there is no formula displayed, the usual formula for gravitational force is:
F = G * (mass 1 * mass 2) / distance^2

F = G * (m1 * m2) / d^2

Since we want to measure the value of "G" then the formula is rewritten as

G = F * d^2 / (m1 * m2)