Problem: In South America , the Portuguese conquered from Spain most of the Rio Negro valley, and repelled a Spanish attack on Mato Grosso . Between September 1762 and April 1763, Spanish forces led by don Pedro Antonio de Cevallos, Governor of Buenos Aires  undertook a campaign against the Portuguese in Uruguay and South Brazil. The Spaniards conquered the Portuguese territories of Colonia do Sacramento and Rio Grande de São Pedro and forced the Portuguese to surrender and retreat. Under the Treaty of Paris , Spain had to return to Portugal the colony of Sacramento, while the vast and rich territory of the so-called "Continent of S. Peter"  would be retaken from the Spanish army during the undeclared Hispano-Portuguese war of 1763-1777. As consequence of the war the Valdivian Fort System, a Spanish defensive complex in southern Chile, was updated and reinforced from 1764 onwards. Other vulnerable localities of colonial Chile such as Chiloé Archipelago, Concepción, Juan Fernández Islands and Valparaíso were also made ready for an eventual English attack.

How many years from the start of the Hispano-Portuguese war did the Spanish reinforce the Valdivian Fort System?
Answer: 1

Problem: The Black Sea Fleet is considered to have been founded by Prince Potemkin on May 13, 1783, together with its principal base, the city of Sevastopol. Formerly commanded by such legendary admirals as Dmitriy Senyavin and Pavel Nakhimov, it is a fleet of enormous historical and political importance for Russia. In 1790, Russian naval forces under the command of Admiral Fyodor Ushakov defeated the Turkish fleet at the Battle of Kerch Strait. From 1841 onward, the fleet was confined to the Black Sea by the London Straits Convention. As a result of the Crimean War, one provision of the Treaty of Paris was that the Black Sea was to be a demilitarized zone like the Island of Åland in the Baltic Sea, although Russia subsequently renounced the treaty and reconstituted its naval strength and fortifications in the Black Sea. The crew of the battleship Potemkin revolted in 1905 soon after the Navy's defeat in the Russo-Japanese War. Lenin wrote that the Potemkin uprising had had a huge importance in terms of being the first attempt at creating the nucleus of a revolutionary army. During World War I, there were a number of encounters between the Russian and Ottoman navies in the Black Sea. The Ottomans initially had the advantage due to their having under their command the German battlecruiser SMS Goeben, but after the two modern Russian dreadnoughts Imperatritsa Mariya and Imperatritsa Ekaterina Velikaya had been built in Mykolaiv, the Russians took command of the sea until the Russian government collapsed in November 1917. German submarines of the Constantinople Flotilla and Turkish light forces would continue to raid and harass Russian shipping until the war's end.

How many years after the Black Sea Fleet was founded did Russian naval forces under the command of Admiral Fyodor Ushakov defeat the Turkish fleet at the Battle of Kerch Strait?
Answer: 7

Problem: In 2000 there were 512,253 households out of which 31.70% had children under the age of 18 living with them, 48.70% were married couples living together, 11.80% had a female householder with no husband present, and 33.70% were non-families. 24.50% of all households were made up of individuals and 6.70% had someone living alone who was 65 years of age or older. The average household size was 2.65 and the average family size was 3.17.

How many in percent of households didn't have children under the age of 18 living with them?
Answer: 68.3

Problem: There were 23,686 households of which 31.8% had children under the age of 18 living with them, 52.3% were Marriage living together, 9.9% had a female householder with no husband present, 3.4% had a male householder with no wife present, and 34.5% were non-families. 27.0% of all households were made up of individuals and 9.5% had someone living alone who was 65 years of age or older. The average household size was 2.54 and the average family size was 3.08.

How many children of the 23686 households were under the age of 18 and living at home?
Answer:
7532.148