Problem: Please answer a question about the following article about History of India:
In 530 BC Cyrus the Great, King of the Persian Achaemenid Empire crossed the Hindu-Kush mountains to seek tribute from the tribes of Kamboja, Gandhara and the trans-India region (modern Afghanistan and Pakistan). By 520 BC, during the reign of Darius I of Persia, much of the northwestern subcontinent (present-day eastern Afghanistan and Pakistan) came under the rule of the Persian Achaemenid Empire, as part of the far easternmost territories. The area remained under Persian control for two centuries. During this time India supplied mercenaries to the Persian army then fighting in Greece.
By 520 BC what empire ruled the northwestern Indian subcontinent?
A: Persian Achaemenid Empire
Problem: Please answer a question about the following article about George VI:
In September 1939, Britain and the self-governing Dominions, but not Ireland, declared war on Nazi Germany. George VI and his wife resolved to stay in London, despite German bombing raids. They officially stayed in Buckingham Palace throughout the war, although they usually spent nights at Windsor Castle. The first German raid on London, on 7 September 1940, killed about one thousand civilians, mostly in the East End. On 13 September, the King and Queen narrowly avoided death when two German bombs exploded in a courtyard at Buckingham Palace while they were there. In defiance, the Queen famously declared: "I am glad we have been bombed. It makes me feel we can look the East End in the face". The royal family were portrayed as sharing the same dangers and deprivations as the rest of the country. They were subject to rationing restrictions, and U.S. First Lady Eleanor Roosevelt remarked on the rationed food served and the limited bathwater that was permitted during a stay at the unheated and boarded-up Palace. In August 1942, the King's brother, Prince George, Duke of Kent, was killed on active service.
Against who did Britain declare war against in 1939?
A: Nazi Germany
Problem: Please answer a question about the following article about Professional wrestling:
Sometimes, poly-sided matches that pit every one for themselves will incorporate tagging rules. Outside of kayfabe, this is done to give wrestlers a break from the action (as these matches tend to go on for long periods of time), and to make the action in the ring easier to choreograph. One of the most mainstream examples of this is the four-corner match, the most common type of match in the WWE before it was replaced with its equivalent fatal four-way; four wrestlers, each for themselves, fight in a match, but only two wrestlers can be in the match at any given time. The other two are positioned in the corner, and tags can be made between any two wrestlers.
What happens in a fatal four-way?
A: four wrestlers, each for themselves, fight in a match, but only two wrestlers can be in the match at any given time.
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 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.
What can be used to classify small groups even though there is no classification of all finite groups?
A:
Computer algebra systems