Problem: Among the results of the Greek and Islamic influence on this period in European history was the replacement of Roman numerals with the decimal positional number system and the invention of algebra, which allowed more advanced mathematics. Astronomy advanced following the translation of Ptolemy's Almagest from Greek into Latin in the late 12th century. Medicine was also studied, especially in southern Italy, where Islamic medicine influenced the school at Salerno.
What invention led to advances in mathematics?
The answer is the following: algebra

Problem: The importance of Southampton to the cruise industry was indicated by P&O Cruises's 175th anniversary celebrations, which included all seven of the company's liners visiting Southampton in a single day. Adonia, Arcadia, Aurora, Azura, Oceana, Oriana and Ventura all left the city in a procession on 3 July 2012.
Which of the seven P&O cruise liners has a name that begins with "V"?
The answer is the following: Ventura

Problem: Although critics have blamed Napoleon for several tactical mistakes preceding the battle, they have also praised his audacity for selecting a risky campaign strategy, choosing to invade the Italian peninsula from the north when the vast majority of French invasions came from the west, near or along the coastline. As Chandler points out, Napoleon spent almost a year getting the Austrians out of Italy in his first campaign; in 1800, it took him only a month to achieve the same goal. German strategist and field marshal Alfred von Schlieffen concluded that "Bonaparte did not annihilate his enemy but eliminated him and rendered him harmless" while "[attaining] the object of the campaign: the conquest of North Italy."
How long did it take Napoleon to drive Austria from Italy in 1800?
The answer is the following: a month

Problem: The original town of San Diego was located at the foot of Presidio Hill, in the area which is now Old Town San Diego State Historic Park. The location was not ideal, being several miles away from navigable water. In 1850, William Heath Davis promoted a new development by the Bay shore called "New San Diego", several miles south of the original settlement; however, for several decades the new development consisted only a few houses, a pier and an Army depot. In the late 1860s, Alonzo Horton promoted a move to the bayside area, which he called "New Town" and which became Downtown San Diego. Horton promoted the area heavily, and people and businesses began to relocate to New Town because of its location on San Diego Bay convenient to shipping. New Town soon eclipsed the original settlement, known to this day as Old Town, and became the economic and governmental heart of the city. Still, San Diego remained a relative backwater town until the arrival of a railroad connection in 1878.
What happened in 1878 that played a role in San Diego's economic growth?
The answer is the following:
the arrival of a railroad connection