Input: Article: Indian astronomer and mathematician Aryabhata (476-550), in his Aryabhatiya (499) introduced a number of trigonometric functions (including sine, versine, cosine and inverse sine), trigonometric tables, and techniques and algorithms of algebra. In 628 AD, Brahmagupta suggested that gravity was a force of attraction. He also lucidly explained the use of zero as both a placeholder and a decimal digit, along with the Hindu-Arabic numeral system now used universally throughout the world. Arabic translations of the two astronomers' texts were soon available in the Islamic world, introducing what would become Arabic numerals to the Islamic World by the 9th century. During the 14th–16th centuries, the Kerala school of astronomy and mathematics made significant advances in astronomy and especially mathematics, including fields such as trigonometry and analysis. In particular, Madhava of Sangamagrama is considered the "founder of mathematical analysis".

Now answer this question: When did Aryabhata live?

Output: 476-550


Article: Miami's heavy-rail rapid transit system, Metrorail, is an elevated system comprising two lines and 23 stations on a 24.4-mile (39.3 km)-long line. Metrorail connects the urban western suburbs of Hialeah, Medley, and inner-city Miami with suburban The Roads, Coconut Grove, Coral Gables, South Miami and urban Kendall via the central business districts of Miami International Airport, the Civic Center, and Downtown. A free, elevated people mover, Metromover, operates 21 stations on three different lines in greater Downtown Miami, with a station at roughly every two blocks of Downtown and Brickell. Several expansion projects are being funded by a transit development sales tax surcharge throughout Miami-Dade County.

Question: How many stations does Metrorail have?
Ans: 23


Here is a question about this article: At the close of the 1991 season, a proposal was tabled for the establishment of a new league that would bring more money into the game overall. The Founder Members Agreement, signed on 17 July 1991 by the game's top-flight clubs, established the basic principles for setting up the FA Premier League. The newly formed top division would have commercial independence from The Football Association and the Football League, giving the FA Premier League licence to negotiate its own broadcast and sponsorship agreements. The argument given at the time was that the extra income would allow English clubs to compete with teams across Europe.
What is the answer to this question: On which day was the Founder Members Agreement signed?
****
So... 17 July 1991


The problem: Answer a question about this article:
The league held its first season in 1992–93 and was originally composed of 22 clubs. The first ever Premier League goal was scored by Brian Deane of Sheffield United in a 2–1 win against Manchester United. The 22 inaugural members of the new Premier League were Arsenal, Aston Villa, Blackburn Rovers, Chelsea, Coventry City, Crystal Palace, Everton, Ipswich Town, Leeds United, Liverpool, Manchester City, Manchester United, Middlesbrough, Norwich City, Nottingham Forest, Oldham Athletic, Queens Park Rangers, Sheffield United, Sheffield Wednesday, Southampton, Tottenham Hotspur, and Wimbledon. Luton Town, Notts County and West Ham United were the three teams relegated from the old first division at the end of the 1991–92 season, and did not take part in the inaugural Premier League season.
For which team was the first goal scored?
****
The answer: Sheffield United


Problem: Please answer a question about the following article about Electric motor:
An advantage of the universal motor is that AC supplies may be used on motors which have some characteristics more common in DC motors, specifically high starting torque and very compact design if high running speeds are used. The negative aspect is the maintenance and short life problems caused by the commutator. Such motors are used in devices such as food mixers and power tools which are used only intermittently, and often have high starting-torque demands. Multiple taps on the field coil provide (imprecise) stepped speed control. Household blenders that advertise many speeds frequently combine a field coil with several taps and a diode that can be inserted in series with the motor (causing the motor to run on half-wave rectified AC). Universal motors also lend themselves to electronic speed control and, as such, are an ideal choice for devices like domestic washing machines. The motor can be used to agitate the drum (both forwards and in reverse) by switching the field winding with respect to the armature.
When is torque most important in universal motor applications?
A: starting


Question: Read this and answer the question

The Duchy of Lancaster is one of two royal duchies in England. It has landholdings throughout the region and elsewhere, operating as a property company, but also exercising the right of the Crown in the County Palatine of Lancaster. While the administrative boundaries changed in the 1970s, the county palatine boundaries remain the same as the historic boundaries. As a result, the High Sheriffs for Lancashire, Greater Manchester and Merseyside are appointed "within the Duchy and County Palatine of Lancaster".

Who are appointed within the Duchy and County Palatine of Lancater?
Answer:
High Sheriffs