Problem: Extract the answer to the question from the following context. Question: What did Borcherds study? Context: 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 JordanHolder 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 groupthe "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.

A: contemporary group theory

Problem: Extract the answer to the question from the following context. Question: What was prior to the 80s? Context: After the establishment of Hampshire County Council, following the act in 1888, Southampton became a county borough within the county of Hampshire, which meant that it had many features of a county, but governance was now shared between the Corporation in Southampton and the new county council. There is a great source of confusion in the fact that the ancient shire county, along with its associated assizes, was known as the County of Southampton or Southamptonshire. This was officially changed to Hampshire in 1959 although the county had been commonly known as Hampshire or Hantscire for centuries. Southampton became a non-metropolitan district in 1974.

A: Southampton became a non-metropolitan district

Problem: Extract the answer to the question from the following context. Question: What does the second A in "AAAD" stand for? Context: NATO defines anti-aircraft warfare (AAW) as "measures taken to defend a maritime force against attacks by airborne weapons launched from aircraft, ships, submarines and land-based sites." In some armies the term All-Arms Air Defence (AAAD) is used for air defence by non-specialist troops. Other terms from the late 20th century include GBAD (Ground Based AD) with related terms SHORAD (Short Range AD) and MANPADS ("Man Portable AD Systems": typically shoulder-launched missiles). Anti-aircraft missiles are variously called surface-to-air missile, abbreviated and pronounced "SAM" and Surface to Air Guided Weapon (SAGW).

A: Arms

Problem: Extract the answer to the question from the following context. Question: How many km is equal to 2259 miles? Context: St. John's is located along the coast of the Atlantic Ocean, on the northeast of the Avalon Peninsula in southeast Newfoundland. The city covers an area of 446.04 square kilometres (172.22 sq mi) and is the most easterly city in North America, excluding Greenland; it is 295 miles (475 km) closer to London, England than it is to Edmonton, Alberta. The city of St. John's is located at a distance by air of 3,636 kilometres (2,259 mi) from Lorient, France which lies on a nearly precisely identical latitude across the Atlantic on the French western coast. The city is the largest in the province and the second largest in the Atlantic Provinces after Halifax, Nova Scotia. Its downtown area lies to the west and north of St. John's Harbour, and the rest of the city expands from the downtown to the north, south, east and west.

A:
3,636