TASK DEFINITION: In this task, you are given a set of context paragraph and some supporting facts to answer a question. Your task is to generate answer for given question based on set of context paragraphs and supporting facts.
PROBLEM: Context_1 : The 1960 Arkansas Razorbacks football team represented the University of Arkansas in the Southwest Conference (SWC) during the 1960 college football season. In their third year under head coach Frank Broyles, the Razorbacks compiled an 8–3 record (6–1 against SWC opponents), won the SWC championship, and outscored all opponents by a combined total of 185 to 87. The Razorbacks' only losses during the regular season came against Baylor by a 28–14 score and to Mississippi by a 10–7 score. The team was ranked #7 in both the final AP Poll and the final UPI Coaches Poll and went on to lose to Duke in the 1960 Cotton Bowl Classic by a 23–14 score. Context_2 : The 1960 Gator Bowl was a post-season college football bowl game between the Baylor Bears of the Southwest Conference (SWC) and the Florida Gators representing the Southeastern Conference (SEC). Florida defeated Baylor 13–12. Both quarterbacks were the game's Most Valuable Player: Florida's Larry Libertore and Baylor's Bobby Ply. Context_3 : The 1959 Arkansas Razorbacks football team represented the University of Arkansas in the Southwest Conference (SWC) during the 1959 college football season. In their second year under head coach Frank Broyles, the Razorbacks compiled a 9–2 record (5–1 against SWC opponents), finished in a tie with Texas for the SWC championship, and outscored all opponents by a combined total of 163 to 101. The Razorbacks' only losses came against Texas by a 13–12 score and to Mississippi by a 28–0 score. The team was ranked #9 in both the final AP Poll and the final UPI Coaches Poll and went on to defeat Georgia Tech in the 1960 Gator Bowl by a 14–7 score. Halfback Jim Mooty was selected by the Associated Press as a first-team player on the 1959 All-America Team. Context_4 : John Franklin Broyles (December 26, 1924 – August 14, 2017) was an American football player and coach, athletics administrator, and broadcaster. He served as the head football coach at the University of Missouri in 1957 and at the University of Arkansas from 1958 to 1976. Broyles also was Arkansas' athletic director from 1974 until his retirement on December 31, 2007. Context_5 : The 2011 Florida Gators football team represented the University of Florida in the sport of American football during the 2011 college football season. The Gators competed in the Football Bowl Subdivision (FBS) of the National Collegiate Athletic Association (NCAA) and the Eastern Division of the Southeastern Conference (SEC). They played their home games at Ben Hill Griffin Stadium on the university's Gainesville, Florida campus, and were led by first-year head coach Will Muschamp. Muschamp coached the Gators to a third-place finish in the SEC East, a 3–5 conference record, a 24–17 Gator Bowl victory over the Ohio State Buckeyes, and an overall win-loss record of 7–6 (.539). Context_6 : The 2010 Michigan Wolverines football team represented the University of Michigan in the 2010 NCAA Division I FBS football season. Michigan played its home games at Michigan Stadium in Ann Arbor, Michigan and competed in the Big Ten Conference. The season was the first since the renovation of Michigan Stadium, begun in 2007, was completed. The Wolverines were led by third-year head coach Rich Rodriguez. After its week 10 win against Illinois, Michigan became bowl eligible for the first time since 2007, and later accepted a bid to play in the Gator Bowl against Mississippi State on January 1, 2011, losing 52–14. The Wolverines finished the season sixth out of 120 Division I FBS teams in total offense, 110th in total defense and 112th in passing defense. Michigan finished with an overall record of 7–6, 3–5 in Big Ten play. After the season, head coach Rich Rodriguez and his staff were dismissed on January 5, 2011. Context_7 : The 2011 Gator Bowl game was a post-season college football bowl game between the Michigan Wolverines of the Big Ten and Mississippi State Bulldogs of the SEC, and was played on January 1, 2011 (1:30 p.m. ET), at EverBank Field in Jacksonville, Florida. It was the 66th edition of the bowl game and was broadcast by ESPN2. It was the first time these two teams have ever met. After the game started fairly close, Mississippi State ultimately pulled away and routed Michigan 52-14. It was the most points ever scored by one team in the Gator Bowl, and the worst loss Michigan has ever suffered in any bowl game in its long history. Rich Rodriguez was fired by Michigan after the game, marking the beginning of the "Brady Hoke Era," as Hoke would be named Rodriguez's replacement as Michigan head coach. Context_8 : The 1960 Gator Bowl was a college football bowl game between the Southwest Conference (SWC) co-champion Arkansas Razorbacks and the Georgia Tech Yellow Jackets representing the Southeastern Conference (SEC). Arkansas defeated Georgia Tech, 14–7, in front of 45,104 spectators. There were two players named Most Valuable Player: Jim Mooty of Arkansas and Maxie Baughan of Georgia Tech. Context_9 : The 1960 Baylor Bears football team represented Baylor University during the 1960 college football season. The Bears were led by second-year head coach John Bridgers and played their home games at Baylor Stadium in Waco, Texas. They competed as members of the Southwest Conference, finishing in second and ranked 12th in the final AP Poll with a regular season record of 8–2 (5–2 SWC). They were invited to the 1960 Gator Bowl, where they lost to Florida, 12–13. Context_10 : The 1955 Cotton Bowl Classic was a post-season college football bowl game between the Southwest Conference champion Arkansas Razorbacks and the champions of the SEC, the Georgia Tech Yellow Jackets. Georgia Tech defeated Arkansas, 14-6, in front of 75,550 spectators. Arkansas would get their revenge in the 1960 Gator Bowl, a 14-7 Hog win. fact_1 :  In their second year under head coach Frank Broyles, the Razorbacks compiled a 9–2 record (5–1 against SWC opponents), finished in a tie with Texas for the SWC championship, and outscored all opponents by a combined total of 163 to 101. fact_2 :  The team was ranked #9 in both the final AP Poll and the final UPI Coaches Poll and went on to defeat Georgia Tech in the 1960 Gator Bowl by a 14–7 score. fact_3 :  Broyles also was Arkansas' athletic director from 1974 until his retirement on December 31, 2007. Question: When did the head coach who led the Razorbacks to victory in the 1960 Gator Bowl retire?

SOLUTION: December 31, 2007

PROBLEM: Context_1 : Eastlands is Tasmania's largest shopping centre, located on the eastern side of the Derwent River, situated in the shopping district of Rosny Park, within the greater area of Hobart, Tasmania, Australia. It has a gross lettable area of about 33,000 square metres. Context_2 : Polegate is a village and civil parish in the Wealden District of East Sussex, England, United Kingdom. It is located five miles (8 km) north of the seaside resort of Eastbourne and is part of the greater area of that town. Although once a railway settlement, its importance as such has now waned by route closures. The civil parish of Polegate had a population of 8,586 on the 2011 census, 41.2% aged 65 and over. Context_3 : A metropolitan area, sometimes referred to as a metro area, greater area, commuter belt or conurbation, is a region consisting of a densely populated urban core and its less-populated surrounding territories, sharing industry, infrastructure, and housing. Context_4 : WCBC is an AM radio station that serves the greater area of Cumberland, Maryland. Founded in April, 1976, WCBC provides news coverage: locally, regionally, and nationally; weather forecasts; participation in major community events to promote the area and its organizations by way of remote broadcasts and community service announcements. Context_5 : The Biltmore is an upscale residential neighborhood & financial district in central North East Phoenix, Arizona. It is the city's most acclaimed neighborhood, largely due to its location, near the Arizona Biltmore Hotel. The local landmark was opened on 23 February 1929. The Resort is surrounded by two 18 hole championship golf courses built in 1928 and 1977 along with some of the most exclusive homes in the Valley of the Sun. The greater area is known as a financial district surrounded by upscale shopping, dining, and for its quality of life. The financial district is clustered with business and residential mid-rise tower buildings and gated neighborhoods along a line known as the "Camelback Corridor" which extends from Central Avenue, East on Camelback Road into Scottsdale. Context_6 : Hegang (, also known as Haoli and Heligang), is a prefecture-level city in Heilongjiang province of the People's Republic of China, situated in the southeastern section of the Lesser Khingan Range, facing Jiamusi across the Songhua River to the south and Russia's Jewish Autonomous Oblast across the Amur River to the north. Hegang is one of the principal coal-producing cities in China. Hegang covers an administrative area of 14679.88 km² and according to the 2010 Census, has a population of 1,058,665 inhabitants. Its built-up area is home to 664,471 inhabitants spread out over 5 urban districts including Dongshan being urbanized, even though still largely rural. Context_7 : Arbroath Infirmary is a hospital serving the town of Arbroath and the greater area of Angus, Scotland. Arbroath has a population of over 36,000 and the greater area served is over 60,000. The hospital is situated at the top of Rosemount Road and is part of NHS Tayside. It is separated into two wings. The Queen Mother wing hosts the maternity, minor injuries unit and outpatient department. The main wing consists of the medical unit with a female and a male medical ward, a physiotherapy gym and the X-ray department. There is also a kitchen in the main wing with a dining room. The operating theatre is no longer in use but is located in the main wing. There is no accident and emergency department in this hospital. Context_8 : New Town Road is a link road that connects Elizabeth Street to the Main Road within the greater area of Hobart, Tasmania. This road has seen less usage since the construction of the Brooker Highway which allows traffic to move directly to the main road and onto the northern area of the state. Context_9 : Vanga (vɑːɳɢ/ə/) is a city in Bandundu Province in the Democratic Republic of the Congo, approximately 340 km east of the capital city Kinshasa. Vanga is in the Kwilu District in the Bulungu Territory. Vanga is known for its large medical center that supports the greater Bandundu region. The greater area is considered a "citè" surrounding the hospital. Context_10 : Pulandian District () is one of the seven districts under the administration of Dalian, located in the south of Liaoning province, People's Republic of China. Its area is 2769.90 km² and its permanent population as of 2010 is 741,230. The district borders the prefecture-level city of Yingkou to the north. fact_1 :  Hegang covers an administrative area of 14679.88 km² and according to the 2010 Census, has a population of 1,058,665 inhabitants. fact_2 :  Its area is 2769.90 km² and its permanent population as of 2010 is 741,230. Question: Which has a greater area, Hegang or Pulandian District?

SOLUTION: Hegang

PROBLEM: Context_1 : Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Russian: Никола́й Григо́рьевич Чеботарёв , Ukrainian: Микола Григорович Чоботарьов ) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a noted Ukrainian and Soviet mathematician. He is best known for the Chebotaryov density theorem. Context_2 : In mathematics, the Khinchin integral (sometimes spelled Khintchine integral), also known as the Denjoy–Khinchin integral, generalized Denjoy integral or wide Denjoy integral, is one of a number of definitions of the integral of a function. It is a generalization of the Riemann and Lebesgue integrals. It is named after Aleksandr Khinchin and Arnaud Denjoy, but is not to be confused with the (narrow) Denjoy integral. Context_3 : Khinchin's theorem may refer to any of several different results by Aleksandr Khinchin: Context_4 : In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers "x", coefficients "a" of the continued fraction expansion of "x" have a finite geometric mean that is independent of the value of "x" and is known as Khinchin's constant. Context_5 : In mathematics, the Khintchine inequality, named after Aleksandr Khinchin and spelled in multiple ways in the Roman alphabet, is a theorem from probability, and is also frequently used in analysis. Heuristically, it says that if we pick formula_1 complex numbers formula_2, and add them together each multiplied by a random sign formula_3, then the expected value of the sum's modulus, or the modulus it will be closest to on average, will be not too far off from formula_4. Context_6 : Chebotarev's density theorem in algebraic number theory describes statistically the splitting of primes in a given Galois extension "K" of the field formula_1 of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic integers of "K". There are only finitely many patterns of splitting that may occur. Although the full description of the splitting of every prime "p" in a general Galois extension is a major unsolved problem, the Chebotarev density theorem says that the frequency of the occurrence of a given pattern, for all primes "p" less than a large integer "N", tends to a certain limit as "N" goes to infinity. It was proven by Nikolai Chebotaryov in his thesis in 1922, published in . Context_7 : In applied mathematics, the Wiener–Khinchin theorem, also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process. Context_8 : Felix Ruvimovich Gantmacher (Russian: Феликс Рувимович Гантмахер ) (23 February 1908 – 16 May 1964) was a Soviet mathematician, professor at Moscow Institute of Physics and Technology, well known for his contributions in mechanics, linear algebra and Lie group theory. In 1925–1926 he participated in seminar guided by Nikolai Chebotaryov in Odessa and wrote his first research paper in 1926. Context_9 : Aleksandr Yakovlevich Khinchin (Russian: Алекса́ндр Я́ковлевич Хи́нчин , French: "Alexandre Khintchine" ; July 19, 1894 – November 18, 1959) was a Soviet mathematician and one of the most significant people in the Soviet school of probability theory. Context_10 : In probability theory, the Palm–Khintchine theorem, the work of Conny Palm and Aleksandr Khinchin, expresses that a large number of not necessarily Poissonian renewal processes combined will have Poissonian properties. fact_1 : Aleksandr Yakovlevich Khinchin (Russian: Алекса́ндр Я́ковлевич Хи́нчин , French: "Alexandre Khintchine" ; July 19, 1894 – November 18, 1959) was a Soviet mathematician and one of the most significant people in the Soviet school of probability theory. fact_2 : Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Russian: Никола́й Григо́рьевич Чеботарёв , Ukrainian: Микола Григорович Чоботарьов ) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a noted Ukrainian and Soviet mathematician. Question: Aleksandr Khinchin and Nikolai Chebotaryov were both what?

SOLUTION:
Soviet mathematician