Please answer this: Given the following passage "In the example above, the identity and the rotations constitute a subgroup R = {id, r1, r2, r3}, highlighted in red in the group table above: any two rotations composed are still a rotation, and a rotation can be undone by (i.e. is inverse to) the complementary rotations 270 for 90, 180 for 180, and 90 for 270 (note that rotation in the opposite direction is not defined). The subgroup test is a necessary and sufficient condition for a subset H of a group G to be a subgroup: it is sufficient to check that g1h H for all elements g, h H. Knowing the subgroups is important in understanding the group as a whole.d["]", answer the following question. Note that the answer is present within the text. Question: What is the inverse for 90?
++++++++
Answer: 270
Problem: Given the following passage "After dynastic quarrels however, there was a Christian reconquest in 1072. The family who returned the city to Christianity were called the Hautevilles, including Robert Guiscard and his army, who is regarded as a hero by the natives. It was under Roger II of Sicily that Norman holdings in Sicily and the southern part of the Italian Peninsula were promoted from the County of Sicily into the Kingdom of Sicily. The Kingdom's capital was Palermo, with the King's Court held at the Palazzo dei Normanni. Much construction was undertaken during this period, such as the building of Palermo Cathedral. The Kingdom of Sicily became one of the wealthiest states in Europe.", answer the following question. Note that the answer is present within the text. Question: what period in time is mentioned first?

A: 1072
Problem: Given the question: Given the following passage "Vacuum is space void of matter. The word stems from the Latin adjective vacuus for "vacant" or "void". An approximation to such vacuum is a region with a gaseous pressure much less than atmospheric pressure. Physicists often discuss ideal test results that would occur in a perfect vacuum, which they sometimes simply call "vacuum" or free space, and use the term partial vacuum to refer to an actual imperfect vacuum as one might have in a laboratory or in space. In engineering and applied physics on the other hand, vacuum refers to any space in which the pressure is lower than atmospheric pressure. The Latin term in vacuo is used to describe an object as being in what would otherwise be a vacuum.", answer the following question. Note that the answer is present within the text. Question: What prevents a given region from being a true vacuum?
++++++++++++++++++++++++++++++++
The answer is:
matter
input question: Given the following passage "The Delhi Metro is a rapid transit system serving New Delhi, Delhi, Gurgaon, Faridabad, Noida, and Ghaziabad in the National Capital Region of India. Delhi Metro is the world's 12th largest metro system in terms of length. Delhi Metro was India's first modern public transportation system, which had revolutionised travel by providing a fast, reliable, safe, and comfortable means of transport. The network consists of six lines with a total length of 189.63 kilometres (117.83 miles) with 142 stations, of which 35 are underground, five are at-grade, and the remainder are elevated. All stations have escalators, elevators, and tactile tiles to guide the visually impaired from station entrances to trains. It has a combination of elevated, at-grade, and underground lines, and uses both broad gauge and standard gauge rolling stock. Four types of rolling stock are used: Mitsubishi-ROTEM Broad gauge, Bombardier MOVIA, Mitsubishi-ROTEM Standard gauge, and CAF Beasain Standard gauge.", answer the following question. Note that the answer is present within the text. Question: which destination served by the metro is mentioned third????
output answer: Gurgaon
Given the following passage "As the number and size of agricultural societies increased, they expanded into lands traditionally used by hunter-gatherers. This process of agriculture-driven expansion led to the development of the first forms of government in agricultural centers, such as the Fertile Crescent, Ancient India, Ancient China, Olmec, Sub-Saharan Africa and Norte Chico.", answer the following question. Note that the answer is present within the text. Question: Before farming people used to be hunters and what?
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Answer: gatherers
Q: Given the following passage "The US racial or ethnic classification "black" refers to people with all possible kinds of skin pigmentation, from the darkest through to the very lightest skin colors, including albinos, if they are believed by others to have West African ancestry (in any discernible percentage), or to exhibit cultural traits associated with being "African American". As a result, in the United States the term "black people" is not an indicator of skin color or ethnic origin but is instead a socially based racial classification related to being African American, with a family history associated with institutionalized slavery. Relatively dark-skinned people can be classified as white if they fulfill other social criteria of "whiteness", and relatively light-skinned people can be classified as black if they fulfill the social criteria for "blackness" in a particular setting.", answer the following question. Note that the answer is present within the text. Question: What doesn't allow African Americans the ability to differentiate their culture in America?
A:
The US racial or ethnic classification "black