input: Please answer the following: Extract the answer to the question from the following context. Question: Whats needed to understand a group by it's presentation Context: Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations
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output: Quotient groups and subgroups

Please answer this: Extract the answer to the question from the following context. Question: Which city did the Sea Wolves play for before Hartford? Context: While some teams have enjoyed considerable on-field and even financial success, many teams in the history of the league have enjoyed little success either on or off of the field of play. There are a number of franchises which existed in the form of a number of largely-unrelated teams under numerous management groups until they folded (an example is the New York CityHawks whose owners transferred the team from New York to Hartford to become the New England Sea Wolves after two seasons, then after another two seasons were sold and became the Toronto Phantoms, who lasted another two seasons until folding). There are a number of reasons why these teams failed, including financially weak ownership groups, lack of deep financial support from some owners otherwise capable of providing it, lack of media exposure, and the host city's evident lack of interest in its team or the sport as a whole.
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Answer: New York

Problem: Extract the answer to the question from the following context. Question: What was happening too quickly for some part of the population? Context: After the First World War, however, it became apparent that the number of mixed-race people was growing at a faster rate than the white population, and by 1930 fear of the "half-caste menace" undermining the White Australia ideal from within was being taken as a serious concern. Dr. Cecil Cook, the Northern Territory Protector of Natives, noted that:

A: number of mixed-race people was growing at a faster rate than the white population

Problem: Given the question: Extract the answer to the question from the following context. Question: Where can you find the use of the dialects of Avestan? Context: The other directly attested Old Iranian dialects are the two forms of Avestan, which take their name from their use in the Avesta, the liturgical texts of indigenous Iranian religion that now goes by the name of Zoroastrianism but in the Avesta itself is simply known as vohu daena (later: behdin). The language of the Avesta is subdivided into two dialects, conventionally known as "Old (or 'Gathic') Avestan", and "Younger Avestan". These terms, which date to the 19th century, are slightly misleading since 'Younger Avestan' is not only much younger than 'Old Avestan', but also from a different geographic region. The Old Avestan dialect is very archaic, and at roughly the same stage of development as Rigvedic Sanskrit. On the other hand, Younger Avestan is at about the same linguistic stage as Old Persian, but by virtue of its use as a sacred language retained its "old" characteristics long after the Old Iranian languages had yielded to their Middle Iranian stage. Unlike Old Persian, which has Middle Persian as its known successor, Avestan has no clearly identifiable Middle Iranian stage (the effect of Middle Iranian is indistinguishable from effects due to other causes).
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The answer is:
Old Iranian

input question: Extract the answer to the question from the following context. Question: what is the third place mentioned? Context: But by the 1940s, many of Boas' anthropologist contemporaries were active in the allied war effort against the "Axis" (Nazi Germany, Fascist Italy, and Imperial Japan). Many served in the armed forces, while others worked in intelligence (for example, Office of Strategic Services and the Office of War Information). At the same time, David H. Price's work on American anthropology during the Cold War provides detailed accounts of the pursuit and dismissal of several anthropologists from their jobs for communist sympathies.???
output answer: Imperial Japan)

input question: Extract the answer to the question from the following context. Question: what is the second area mentioned? Context: Ptolemy's Geography divided Asia on a similar basis. In the north is "Scythia this side of the Himalayas" and "Scythia beyond the Himalayas." To the south is "India on this side of the Ganges" and "India beyond the Ganges." Asia began on the coast of Anatolia ("land of the rising sun"). Beyond the Ganges and Himalayas (including the Tien Shan) were Serica and Serae (sections of China) and some other identifiable far eastern locations known to the voyagers and geographers but not to the general European public.???
output answer:
Scythia