Input: Group (mathematics)
In the groups Z/nZ introduced above, the element 1 is primitive, so these groups are cyclic. Indeed, each element is expressible as a sum all of whose terms are 1. Any cyclic group with n elements is isomorphic to this group. A second example for cyclic groups is the group of n-th complex roots of unity, given by complex numbers z satisfying zn = 1. These numbers can be visualized as the vertices on a regular n-gon, as shown in blue at the right for n = 6. The group operation is multiplication of complex numbers. In the picture, multiplying with z corresponds to a counter-clockwise rotation by 60. Using some field theory, the group Fp can be shown to be cyclic: for example, if p = 5, 3 is a generator since 31 = 3, 32 = 9 4, 33 2, and 34 1.

What group is isomorphic to cyclic groups?
Output: Any cyclic group with n elements

Input: Renewable energy commercialization
Biomass for heat and power is a fully mature technology which offers a ready disposal mechanism for municipal, agricultural, and industrial organic wastes. However, the industry has remained relatively stagnant over the decade to 2007, even though demand for biomass (mostly wood) continues to grow in many developing countries. One of the problems of biomass is that material directly combusted in cook stoves produces pollutants, leading to severe health and environmental consequences, although improved cook stove programmes are alleviating some of these effects. First-generation biomass technologies can be economically competitive, but may still require deployment support to overcome public acceptance and small-scale issues.

What is a fully maturing technology which offer a ready disposal mechanismm?
Output: Biomass for heat and power

Input: Buckingham Palace
During World War I, the palace, then the home of King George V and Queen Mary, escaped unscathed. Its more valuable contents were evacuated to Windsor but the royal family remained in situ. The King imposed rationing at the palace, much to the dismay of his guests and household. To the King's later regret, David Lloyd George persuaded him to go further by ostentatiously locking the wine cellars and refraining from alcohol, to set a good example to the supposedly inebriated working class. The workers continued to imbibe and the King was left unhappy at his enforced abstinence. In 1938, the north-west pavilion, designed by Nash as a conservatory, was converted into a swimming pool.

Where were valuable items from Buckingham Palace taken during WWI?
Output: Windsor

Input: Dwight D. Eisenhower
Edgar took the first turn at school, and Dwight was employed as a night supervisor at the Belle Springs Creamery. Edgar asked for a second year, Dwight consented and worked for a second year. At that time, a friend "Swede" Hazlet was applying to the Naval Academy and urged Dwight to apply to the school, since no tuition was required. Eisenhower requested consideration for either Annapolis or West Point with his U.S. Senator, Joseph L. Bristow. Though Eisenhower was among the winners of the entrance-exam competition, he was beyond the age limit for the Naval Academy. He then accepted an appointment to West Point in 1911.

Where did Eisenhower work during his brother's first year of college?
Output:
Belle Springs Creamery