Problem: To understand groups beyond the level of mere symbolic manipulations as above, more structural concepts have to be employed.c["] There is a conceptual principle underlying all of the following notions: to take advantage of the structure offered by groups (which sets, being "structureless", do not have), constructions related to groups have to be compatible with the group operation. This compatibility manifests itself in the following notions in various ways. For example, groups can be related to each other via functions called group homomorphisms. By the mentioned principle, they are required to respect the group structures in a precise sense. The structure of groups can also be understood by breaking them into pieces called subgroups and quotient groups. The principle of "preserving structures"a recurring topic in mathematics throughoutis an instance of working in a category, in this case the category of groups.
What concept describes groups that can be related to each other via functions?
The answer is the following: group homomorphisms

Wood unsuitable for construction in its native form may be broken down mechanically (into fibers or chips) or chemically (into cellulose) and used as a raw material for other building materials, such as engineered wood, as well as chipboard, hardboard, and medium-density fiberboard (MDF). Such wood derivatives are widely used: wood fibers are an important component of most paper, and cellulose is used as a component of some synthetic materials. Wood derivatives can also be used for kinds of flooring, for example laminate flooring.
What type of flooring can be made from wood derivatives?
laminate

Input: Egypt
The canal is 193.30 km (120.11 mi) long, 24 m (79 ft) deep and 205 metres (673 ft) wide as of 2010. It consists of the northern access channel of 22 km (14 mi), the canal itself of 162.25 km (100.82 mi) and the southern access channel of 9 km (5.6 mi). The canal is a single lane with passing places in the "Ballah By-Pass" and the Great Bitter Lake. It contains no locks; seawater flows freely through the canal. In general, the canal north of the Bitter Lakes flows north in winter and south in summer. The current south of the lakes changes with the tide at Suez.

How many locks are contained in Suez Canal?
Output: no locks

Input: Article: The inevitable march to civil war and the combat in Madrid resulted in the removal of the capital of the Republic to Valencia. On 6 November 1936 the city became the capital of Republican Spain under the control of the prime minister Manuel Azana; the government moved to the Palau de Benicarlo, its ministries occupying various other buildings. The city was heavily bombarded by air and sea, necessitating the construction of over two hundred bomb shelters to protect the population. On 13 January 1937 the city was first shelled by a vessel of the Fascist Italian Navy, which was blockading the port by the order of Benito Mussolini. The bombardment intensified and inflicted massive destruction on several occasions; by the end of the war the city had survived 442 bombardments, leaving 2,831 dead and 847 wounded, although it is estimated that the death toll was higher, as the data given are those recognised by Francisco Franco's government. The Republican government passed to Juan Negrin on 17 May 1937 and on 31 October of that year moved to Barcelona. On 30 March 1939 Valencia surrendered and the Nationalist troops entered the city. The postwar years were a time of hardship for Valencians. During Franco's regime speaking or teaching Valencian was prohibited; in a significant reversal it is now compulsory for every schoolchild in Valencia.

Now answer this question: Where did the government relocate to in 1937?

Output: Barcelona

Article: While Brazil was fighting the US through the WTO's Dispute Settlement Mechanism against a heavily subsidized cotton industry, a group of four least-developed African countries Benin, Burkina Faso, Chad, and Mali also known as "Cotton-4" have been the leading protagonist for the reduction of US cotton subsidies through negotiations. The four introduced a "Sectoral Initiative in Favour of Cotton", presented by Burkina Faso's President Blaise Compaore during the Trade Negotiations Committee on 10 June 2003.

Question: What could the US do that would please the foreign cotton industry concerning cotton subsidies?
Ans: reduction

Input: Presbyterianism
The Presbyterian Church in Vanuatu is the largest denomination in the country, with approximately one-third of the population of Vanuatu members of the church. The PCV was taken to Vanuatu by missionaries from Scotland. The PCV (Presbyterian Church of Vanuatu) is headed by a moderator with offices in Port Vila. The PCV is particularly strong in the provinces of Tafea, Shefa, and Malampa. The Province of Sanma is mainly Presbyterian with a strong Roman Catholic minority in the Francophone areas of the province. There are some Presbyterian people, but no organised Presbyterian churches in Penama and Torba, both of which are traditionally Anglican. Vanuatu is the only country in the South Pacific with a significant Presbyterian heritage and membership. The PCV is a founding member of the Vanuatu Christian Council (VCC). The PCV runs many primary schools and Onesua secondary school. The church is strong in the rural villages.

Missionaries from which country started The Presbyterian Church in Vanuatu?
Output:
Scotland