if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ?
"( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) has two appearances of 3 ( in 12 ^ 2 ) and no appearances of 5 . thus n must include at least 3 * 5 ^ 2 = 75 the answer is b ."
add(add(add(add(add(multiply(multiply(5, 2), 2), multiply(multiply(5, 2), 2)), multiply(multiply(5, 2), 2)), 2), const_4), const_4)