Q: Extract the answer to the question from the following context. Question: The example uses a right and vertical what 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
A: reflection

Q: Extract the answer to the question from the following context. Question: Which group was a promise exacted from earlier, the Iroquois or the Huron Nation? Context: European colonists created treaties with Indigenous American tribes requesting the return of any runaway slaves. For example, in 1726, the British governor of New York exacted a promise from the Iroquois to return all runaway slaves who had joined them. This same promise was extracted from the Huron Nation in 1764, and from the Delaware Nation in 1765, though there is no record of slaves ever being returned. Numerous advertisements requested the return of African Americans who had married Indigenous Americans or who spoke an Indigenous American language. The primary exposure that Africans and Indigenous Americans had to each other came through the institution of slavery. Indigenous Americans learned that Africans had what Indigenous Americans considered 'Great Medicine' in their bodies because Africans were virtually immune to the Old-World diseases that were decimating most native populations. Because of this, many tribes encouraged marriage between the two groups, to create stronger, healthier children from the unions.
A: the Iroquois

Q: Extract the answer to the question from the following context. Question: What was sold by Terra Soft Solutions Context: PS3's hardware has also been used to build supercomputers for high-performance computing. Fixstars Solutions sells a version of Yellow Dog Linux for PlayStation 3 (originally sold by Terra Soft Solutions). RapidMind produced a stream programming package for PS3, but were acquired by Intel in 2009. Also, on January 3, 2007, Dr. Frank Mueller, Associate Professor of Computer science at NCSU, clustered 8 PS3s. Mueller commented that the 256 MB of system RAM is a limitation for this particular application and is considering attempting to retrofit more RAM. Software includes: Fedora Core 5 Linux ppc64, MPICH2, OpenMP v 2.5, GNU Compiler Collection and CellSDK 1.1. As a more cost-effective alternative to conventional supercomputers, the U.S. military has purchased clusters of PS3 units for research purposes. Retail PS3 Slim units cannot be used for supercomputing, because PS3 Slim lacks the ability to boot into a third-party OS.
A: Yellow Dog Linux

Q: Extract the answer to the question from the following context. Question: Which city was further from the earthquake, Tokyo or Chengdu? Context: Japanese seismologist Yuji Yagi at the University of Tsukuba said that the earthquake occurred in two stages: "The 155-mile Longmenshan Fault tore in two sections, the first one ripping about seven yards, followed by a second one that sheared four yards." His data also showed that the earthquake lasted about two minutes and released 30 times the energy of the Great Hanshin earthquake of 1995 in Japan, which killed over 6,000 people. He pointed out that the shallowness of the epicenter and the density of population greatly increased the severity of the earthquake. Teruyuki Kato, a seismologist at the University of Tokyo, said that the seismic waves of the quake traveled a long distance without losing their power because of the firmness of the terrain in central China. According to reports from Chengdu, the capital of Sichuan province, the earthquake tremors lasted for "about two or three minutes".
A:
Tokyo