Problem: if n is a prime number greater than 11 , what is the remainder when n ^ 2 is divided by 12 ?
Rationale: "there are several algebraic ways to solve this question , but the easiest way is as follows : since we can not have two correct answers just pick a prime greater than 11 , square it and see what would be the remainder upon division of it by 12 . n = 17 - - > n ^ 2 = 289 - - > remainder upon division 289 by 12 is 1 . answer : b ."
annotated_formula: subtract(power(add(11, 2), 2), multiply(12, const_4))