Input: Read this: 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
Question: What group can be the quotient of the free group over the generators of the group?

Output: any group


QUES: Conventionally, Iranian languages are grouped in "western" and "eastern" branches. These terms have little meaning with respect to Old Avestan as that stage of the language may predate the settling of the Iranian peoples into western and eastern groups. The geographic terms also have little meaning when applied to Younger Avestan since it isn't known where that dialect (or dialects) was spoken either. Certain is only that Avestan (all forms) and Old Persian are distinct, and since Old Persian is "western", and Avestan was not Old Persian, Avestan acquired a default assignment to "eastern". Confusing the issue is the introduction of a western Iranian substrate in later Avestan compositions and redactions undertaken at the centers of imperial power in western Iran (either in the south-west in Persia, or in the north-west in Nisa/Parthia and Ecbatana/Media).

What were the centers of imperial power in Persia?
What is the answer?
ANS: unanswerable


QUES: Jiangsu Art Gallery is the largest gallery in Jiangsu Province, presenting some of the best traditional and contemporary art pieces of China; many other smaller-scale galleries, such as Red Chamber Art Garden and Jinling Stone Gallery, also have their own special exhibitions.
What type of exhibitions do Red Chamber Art Garden and Jinling Stone Gallery show?

ANS: their own special exhibitions


Most former British colonies and protectorates are among the 53 member states of the Commonwealth of Nations, a non-political, voluntary association of equal members, comprising a population of around 2.2 billion people. Sixteen Commonwealth realms voluntarily continue to share the British monarch, Queen Elizabeth II, as their head of state. These sixteen nations are distinct and equal legal entities – the United Kingdom, Australia, Canada, New Zealand, Papua New Guinea, Antigua and Barbuda, The Bahamas, Barbados, Belize, Grenada, Jamaica, Saint Kitts and Nevis, Saint Lucia, Saint Vincent and the Grenadines, Solomon Islands and Tuvalu.
If it is possible to answer this question, answer it for me (else, reply "unanswerable"): Who is the British Queen?
Ah, so.. Elizabeth II


Question: Rare books are found in several Yale collections. The Beinecke Rare Book Library has a large collection of rare books and manuscripts. The Harvey Cushing/John Hay Whitney Medical Library includes important historical medical texts, including an impressive collection of rare books, as well as historical medical instruments. The Lewis Walpole Library contains the largest collection of 18th‑century British literary works. The Elizabethan Club, technically a private organization, makes its Elizabethan folios and first editions available to qualified researchers through Yale.
Try to answer this question if possible: Where can qualified researchers lose Elizabethan folios?
Answer: unanswerable


Question: They established communities throughout Central and Eastern Europe, which had been their primary region of concentration and residence until recent times, evolving their own distinctive characteristics and diasporic identities. In the late Middle Ages the center of gravity of the Ashkenazi population, and its traditional cultural life, shifted steadily eastward, out of the German lands into Poland and Lithuania (including present-day Belarus and Ukraine). In the course of the late 18th and 19th centuries, those Jews who remained in or returned to the German lands experienced a cultural reorientation; under the influence of the Haskalah and the struggle for emancipation, as well the intellectual and cultural ferment in urban centers, they gradually abandoned the use of Yiddish, while developing new forms of Jewish religious life and cultural identity.
Try to answer this question if possible: In the late Middle Ages, as the Ashkenazi population shifted it moved into which location?
Answer:
Poland and Lithuania (including present-day Belarus and Ukraine)