Input: New Haven, Connecticut
The city hosts numerous theatres and production houses, including the Yale Repertory Theatre, the Long Wharf Theatre, and the Shubert Theatre. There is also theatre activity from the Yale School of Drama, which works through the Yale University Theatre and the student-run Yale Cabaret. Southern Connecticut State University hosts the Lyman Center for the Performing Arts. The shuttered Palace Theatre (opposite the Shubert Theatre) is being renovated and will reopen as the College Street Music Hall in May, 2015. Smaller theatres include the Little Theater on Lincoln Street. Cooperative Arts and Humanities High School also boasts a state-of-the-art theatre on College Street. The theatre is used for student productions as well as the home to weekly services to a local non-denominational church, the City Church New Haven.

Yale also has a theater managed by its' own student, then name?
Output: Yale Cabaret.

Input: American Idol
American Idol is broadcast to over 100 nations outside of the United States. In most nations these are not live broadcasts and may be tape delayed by several days or weeks. In Canada, the first thirteen seasons of American Idol were aired live by CTV and/or CTV Two, in simulcast with Fox. CTV dropped Idol after its thirteenth season and in August 2014, Yes TV announced that it had picked up Canadian rights to American Idol beginning in its 2015 season.

Who stated in August 2014 that they picked up the rights beginning in its 2015 season?
Output: Yes TV

Input: Group (mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be shown to be abelian, a statement which does not generalize to order p3, as the non-abelian group D4 of order 8 = 23 above shows. Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.q[›] An intermediate step is the classification of finite simple groups.r[›] A nontrivial group is called simple if its only normal subgroups are the trivial group and the group itself.s[›] The Jordan–Hölder theorem exhibits finite simple groups as the building blocks for all finite groups. Listing all finite simple groups was a major achievement in contemporary group theory. 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relation between the largest finite simple sporadic group—the "monster group"—and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.

What area of classification leads to troublesome arithmetic?
Output: finite groups

Input: Greeks
Homer refers to the "Hellenes" (/ˈhɛliːnz/) as a relatively small tribe settled in Thessalic Phthia, with its warriors under the command of Achilleus. The Parian Chronicle says that Phthia was the homeland of the Hellenes and that this name was given to those previously called Greeks (Γραικοί). In Greek mythology, Hellen, the patriarch of Hellenes, was son of Pyrrha and Deucalion, who ruled around Phthia, the only survivors after the great deluge. It seems that the myth was invented when the Greek tribes started to separate from each other in certain areas of Greece and it indicates their common origin. Aristotle names ancient Hellas as an area in Epirus between Dodona and the Achelous river, the location of the great deluge of Deucalion, a land occupied by the Selloi and the "Greeks" who later came to be known as "Hellenes". Selloi were the priests of Dodonian Zeus and the word probably means "sacrificers" (compare Gothic saljan, "present, sacrifice"). There is currently no satisfactory etymology of the name Hellenes. Some scholars assert that the name Selloi changed to Sellanes and then to Hellanes-Hellenes. However this etymology connects the name Hellenes with the Dorians who occupied Epirus and the relation with the name Greeks given by the Romans becomes uncertain. The name Hellenes seems to be older and it was probably used by the Greeks with the establishment of the Great Amphictyonic League. This was an ancient association of Greek tribes with twelve founders which was organized to protect the great temples of Apollo in Delphi (Phocis) and of Demeter near Thermopylae (Locris). According to the legend it was founded after the Trojan War by the eponymous Amphictyon, brother of Hellen.

From what mystical lineage does this name benefactor ascend from ?
Output:
was son of Pyrrha and Deucalion, who ruled around Phthia, the only survivors after the great deluge.