Problem: Please answer a question about the following article about 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 defines finite groups of order p, a prime number, as being necessarily cyclic (abelian) groups Zp?
A: Lagrange's theorem
Problem: Please answer a question about the following article about Arena Football League:
It was announced on December 12, 2012, that the AFL reached a partnership agreement with NET10 Wireless to be the first non-motorsports-related professional sports league in the United States to have a title sponsor, renaming it the NET10 Wireless Arena Football League. The redesigned website showed the new logo which incorporated the current AFL logo with the one from NET10 Wireless. The title sponsorship agreement ended in 2014 after a two-year partnership.
On what date did the AFL announce its title sponsorship deal?
A: December 12, 2012
Problem: Please answer a question about the following article about Universal Studios:
By the late 1950s, the motion picture business was again changing. The combination of the studio/theater-chain break-up and the rise of television saw the reduced audience size for cinema productions. The Music Corporation of America (MCA), then predominately a talent agency, had also become a powerful television producer, renting space at Republic Studios for its Revue Productions subsidiary. After a period of complete shutdown, a moribund Universal agreed to sell its 360-acre (1.5 km²) studio lot to MCA in 1958, for $11 million, renamed Revue Studios. MCA owned the studio lot, but not Universal Pictures, yet was increasingly influential on Universal's product. The studio lot was upgraded and modernized, while MCA clients like Doris Day, Lana Turner, Cary Grant, and director Alfred Hitchcock were signed to Universal Pictures contracts.
In square kilometers, how large was the lot Universal sold to MCA?
A: 1.5
Problem: Please answer a question about the following article about Dutch Republic:
In theory, the stadtholders were freely appointed by and subordinate to the states of each province. However, in practice the princes of Orange of the House of Orange-Nassau, beginning with William the Silent, were always chosen as stadtholders of most of the provinces. Zeeland and usually Utrecht had the same stadtholder as Holland.
Who appointed the stadtholders?
A:
the states of each province