Consider the following relations: Student(snum: integer, sname: string, major: string, level: string, age: integer) Class(name: string, meets_at: time, room: string, fid: integer) Enrolled(snum: integer, cname: string) Faculty (fid: integer, fname: string, deptid: integer) The meaning of these relations is straightforward; for example, Enrolled has one record per student-class pair such that the student is enrolled in the class. Write the following queries in MySQL 8.0. No duplicates should be printed in any of the answers.

(1) Find the names of faculty members who do not teach any class. (2) For each age value that appears in Students, find the level value that appears most often. For example, if there are more FR level students aged 18 than SR, JR, or SO students aged 18, you should print the pair (18, FR). (3) Find the number of courses conducted per room. (4) Find the courses conducted in room R128 for which at least one student has enrolled. (5) Find the times at which classes occur for those courses for which at least one student has enrolled.