Problem: Finite symmetry groups such as the Mathieu groups are used in coding theory, which is in turn applied in error correction of transmitted data, and in CD players. Another application is differential Galois theory, which characterizes functions having antiderivatives of a prescribed form, giving group-theoretic criteria for when solutions of certain differential equations are well-behaved.u["] Geometric properties that remain stable under group actions are investigated in (geometric) invariant theory.
What describes functions having antiderivatives of a prescribed form?
The answer is the following: differential Galois theory

The collation of all known variants of a text is referred to as a variorum, namely a work of textual criticism whereby all variations and emendations are set side by side so that a reader can track how textual decisions have been made in the preparation of a text for publication. The Bible and the works of William Shakespeare have often been the subjects of variorum editions, although the same techniques have been applied with less frequency to many other works, such as Walt Whitman's Leaves of Grass, and the prose writings of Edward Fitzgerald.
What is a variorum?
The collation of all known variants of a text

Input: British Isles
The Council does not have executive powers but meets biannually to discuss issues of mutual importance. Similarly, the Parliamentary Assembly has no legislative powers but investigates and collects witness evidence from the public on matters of mutual concern to its members. Reports on its findings are presented to the Governments of Ireland and the United Kingdom. During the February 2008 meeting of the BritishIrish Council, it was agreed to set up a standing secretariat that would serve as a permanent 'civil service' for the Council. Leading on from developments in the BritishIrish Council, the chair of the BritishIrish Inter-Parliamentary Assembly, Niall Blaney, has suggested that the body should shadow the BritishIrish Council's work.

Does the Parliamentary Assembly had any kinds of legislative authority?
Output: no

Input: Article: Judicial powerthe power to decide cases and controversiesis vested in the Supreme Court and inferior courts established by Congress. The judges must be appointed by the president with the advice and consent of the Senate, hold office during good behavior and receive compensations that may not be diminished during their continuance in office. If a court's judges do not have such attributes, the court may not exercise the judicial power of the United States. Courts exercising the judicial power are called "constitutional courts."

Now answer this question: Who appoints a judge?

Output: the president

Article: According to both indigenous American and European accounts and documents, American civilizations at the time of European encounter had achieved many accomplishments. For instance, the Aztecs built one of the largest cities in the world, Tenochtitlan, the ancient site of Mexico City, with an estimated population of 200,000. American civilizations also displayed impressive accomplishments in astronomy and mathematics. The domestication of maize or corn required thousands of years of selective breeding.

Question: How big was the population of the Aztec cit of Tenochtitlan?
Ans: 200,000

Input: Bird
The ability of birds to return to precise locations across vast distances has been known for some time; in an experiment conducted in the 1950s a Manx shearwater released in Boston returned to its colony in Skomer, Wales, within 13 days, a distance of 5,150 km (3,200 mi). Birds navigate during migration using a variety of methods. For diurnal migrants, the sun is used to navigate by day, and a stellar compass is used at night. Birds that use the sun compensate for the changing position of the sun during the day by the use of an internal clock. Orientation with the stellar compass depends on the position of the constellations surrounding Polaris. These are backed up in some species by their ability to sense the Earth's geomagnetism through specialised photoreceptors.

What do birds to compensate for the changing position of the sun during the day?
Output:
internal clock