Please answer question 2 using question 1 as a reference

1. Translate the following English sentences into statements of predicate calculus. (20 points, 4 parts 5 points each) a. All programmers enjoy discrete mathematics-Vx(p(x)d(x)) d(x) x enjoys discrete mathematics p(x)ix is a programmer b. Some integers are not odd = 3x(l(x)"O(x)) (x)x is an integer O(x) x is an odd number c. Every integer that is divisible by 2 is evenVx((x)(xe(x)) ()s an integer d(x) x is divisible by 2 e(x) x is even d. There exists a natural number that is not a positive integer 3x(n(x)p(x)) n(x)ix is a natural number p(x)ix is a positive integer 2. Refer to the statements of predicate calculus you provided for problem 1. Write the negation of each of those statements. (20 points, 4 parts 5 points each)