In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).

[Q]: Context: Latin (Latin: ) is a classical language belonging to the Italic branch of the Indo-European languages. The Latin alphabet is derived from the Etruscan and Greek alphabets., In mathematics, a rational number is any number that can be expressed as the quotient or fraction "p"/"q" of two integers, a numerator "p" and a non-zero denominator "q". Since "q" may be equal to1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", is usually denoted by a boldface Q (or blackboard bold formula_1, Unicode ); it was thus denoted in 1895 by Giuseppe Peano after "quoziente", Italian for "quotient"., In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these integers are further restricted to prime numbers, the process is called prime factorization., A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating whether the input number is prime or not. Factorization is thought to be a computationally difficult problem, whereas primality testing is comparatively easy (its running time is polynomial in the size of the input). Some primality tests "prove" that a number is prime, while others like MillerRabin prove that a number is composite. Therefore, the latter might be called "compositeness tests" instead of primality tests., Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers)., A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 3, 1 1 3, etc. are all valid factorizations of 3., Paul Leyland is a British number theorist who has studied integer factorization and primality testing., Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This was a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on., In number theory , a Leyland number is a number of the form x ^ y + y ^ x where x and y are integers greater than 1 . They are named after the mathematician Paul Leyland . The first few Leyland numbers are 8 , 17 , 32 , 54 , 57 , 100 , 145 , 177 , 320 , 368 , 512 , 593 , 945 , 1124 ( sequence A076980 in OEIS ) . The requirement that x and y both be greater than 1 is important , since without it every positive integer would be a Leyland number of the form x1 + 1x . Also , because of the commutative property of addition , the condition x y is usually added to avoid double - covering the set of Leyland numbers ( so we have 1 < y x ) . The first prime Leyland numbers are 17 , 593 , 32993 , 2097593 , 8589935681 , 59604644783353249 , 523347633027360537213687137 , 43143988327398957279342419750374600193 ( A094133 ) corresponding to 32 +23 , 92 +29 , 152 +215 , 212 +221 , 332 +233 , 245 +524 , 563 +356 , 3215 +1532 . One can also fix the value of y and consider the sequence of x values that gives Leyland primes , for example x2 + 2x is prime for x = 3 , 9 , 15 , 21 , 33 , 2007 , 2127 , 3759 , ... ( A064539 ) . By November 2012 , the largest Leyland number that had been proven to be prime was 51226753 + 67535122 with 25050 digits . From January 2011 to April 2011 , it was the largest prime whose primality was proved by elliptic curve primality proving . In December 2012 , this was improved by proving the primality of the two numbers 311063 + 633110 ( 5596 digits ) and 86562929 + 29298656 ( 30008 digits ) , the latter of which surpassed the previous record . There are many larger known probable primes such as 3147389 + 9314738 , but it is hard to prove primality of large Leyland numbers . Paul Leyland writes on his website : '' More recently still , it was realized that numbers of this form are ideal test cases for general purpose primality proving programs . They have a simple algebraic description but no obvious cyclotomic properties which special purpose algorithms can exploit . '' There is a project called XYYXF to factor composite Leyland numbers ., An integer (from the Latin "integer" meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and2048 are integers, while 9.75, , and are not., In Algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in formula_1 (the set of integers). The set of all algebraic integers, , is closed under addition and multiplication and therefore is a commutative subring of the complex numbers. The ring is the integral closure of regular integers formula_1 in complex numbers., Subject: leyland number, Relation: subclass_of, Options: (A) algorithm (B) blackboard (C) branch (D) category (E) complex number (F) decomposition (G) economics (H) engineering (I) integer (J) language (K) latin (L) mathematics (M) meeting (N) natural (O) natural number (P) number (Q) out (R) polynomial (S) problem (T) process (U) rational number (V) ring (W) set (X) test (Y) theorem (Z) theory ([) thought (\) time
[A]: natural number

[Q]: Context: The Gulf of Mexico is an ocean basin largely surrounded by the North American continent. It is bounded on the northeast, north and northwest by the Gulf Coast of the United States, on the southwest and south by Mexico, and on the southeast by Cuba. The U.S. states of Alabama, Florida, Louisiana, Mississippi and Texas border the Gulf on the north, which are often referred to as the "Third Coast" in comparison with the U.S. Atlantic and Pacific coasts, or sometimes the "south coast", in juxtaposition to the Great Lakes region being the "north coast." One of the gulf's seven main areas is the Gulf of Mexico basin., Onykia is a genus of squids in the family Onychoteuthidae. Due to similarities between the genera, several recent authors consider the genus "Moroteuthis" a junior synonym of "Onykia". The type species is "Onykia carriboea", the tropical clubhook squid., Onykia carriboea, the tropical clubhook squid, is a squid in the family Onychoteuthidae, the type species of the genus "Onykia". It is known with certainty only from immature specimens. The type locality of "O. carriboea" is the Gulf of Mexico. "Onykia robsoni" has been suggested as a junior synonym, owing to similarities between the species., Onykia robsoni , the rugose hooked squid , is a species of squid in the family Onychoteuthidae . It occurs in the Antarctic Ocean , at an estimated depth of 250 -- 550 meters . The mantle of this species grows to a length of 75 cm. The species has been suggested as a junior synonym of Onykia carriboea , the tropical clubhook squid , due to similarities between the species ., Subject: onykia robsoni, Relation: parent_taxon, Options: (A) alabama (B) moroteuthis (C) onychoteuthidae (D) onykia
[A]: moroteuthis

[Q]: Context: The City of New York, often called New York City or simply New York, is the most populous city in the United States. With an estimated 2015 population of 8,550,405 distributed over a land area of just , New York City is also the most densely populated major city in the United States. Located at the southern tip of the state of New York, the city is the center of the New York metropolitan area, one of the most populous urban agglomerations in the world. A global power city, New York City exerts a significant impact upon commerce, finance, media, art, fashion, research, technology, education, and entertainment, its fast pace defining the term "New York minute". Home to the headquarters of the United Nations, New York is an important center for international diplomacy and has been described as the cultural and financial capital of the world., CBS Corporation is an American mass media corporation focused on commercial broadcasting, publishing, and television production, with most of its operations in the United States. The president, chief executive and executive chairman of the company is Leslie Moonves. Sumner Redstone, owner of National Amusements, is CBS's majority shareholder and serves as chairman emeritus. The company began trading on the NYSE on January 3, 2006. Until then, the corporation was known as Viacom, and is the legal successor to said company. A new company, keeping the Viacom name, was spun off from CBS. CBS, not Viacom, retains control of over-the-air television (CBS, CW) and radio broadcasting, TV production and distribution, publishing, pay-cable, basic cable (Pop), and recording formerly owned by the larger company. CBS has its headquarters in the CBS Building (colloquially called "Black Rock"), Midtown, Manhattan, New York City, United States., Marketing in schools is a widespread phenomenon in which schools sign contracts allowing certain businesses to conduct marketing activities in school facilities primarily advertising. For example, a school might allow only one brand of soft drink to be sold in vending machines on the campus; in return, the soft drink company would provide compensation to the school (frequently money, but it may provide other compensation as well, such as building new facilities or paying for school supplies). The phrase usually refers to arrangements by elementary schools or high schools, rather than higher education; because this marketing is seen as targeting children, it is very controversial. One example of this is Channel One News, a TV show, branded as educational, shown in schools that shows two minutes of advertising. Channel One is shown in over 11,500 middle and high schools across the United States, reaching 7.7 million students., CBS Studio Center is a television and film studio located in the Studio City district of Los Angeles in the San Fernando Valley. It is located at 4024 Radford Avenue and takes up a triangular piece of land, with the Los Angeles River bisecting the site. The lot, which is not open to the public for tours, has 18 sound stages from 7,000 to , of office space, and 223 dressing rooms., Tracy Smith is a CBS News correspondent for CBS News Sunday Morning , in addition to reports she does for The CBS Evening News with Scott Pelley , and '' 48 Hours Mystery '' . Smith is a former Channel One News anchor and correspondent . She served as both co-anchor of the Saturday Early Show and a national correspondent for The Early Show from August 2005 through May 2007 . Smith was succeeded by Maggie Rodriguez ., CBS (an initialism of the network's former name, the Columbia Broadcasting System) is an American commercial broadcast television network that is a flagship property of CBS Corporation. The company is headquartered at the CBS Building in New York City with major production facilities and operations in New York City (at the CBS Broadcast Center) and Los Angeles (at CBS Television City and the CBS Studio Center)., The CBS Broadcast Center is a television and radio production facility located in New York City. It is CBS's main East Coast production center, much as Television City in Los Angeles is the West Coast hub., Marketing is the study and management of exchange relationships. The American Marketing Association has defined marketing as "the activity, set of institutions, and processes for creating, communicating, delivering, and exchanging offerings that have value for customers, clients, partners, and society at large." , Channel One News is a digital content provider. The daily news program has been accompanied by commercial advertising for marketing in schools, with supplementary educational resources. The Peabody and Telly Award-winning Channel One News program is broadcast to approximately 5 million young people in upper elementary schools, middle schools, and high schools across the United States. Channel One News is now also available advertising-free through a subscription. On May 13, 2014, it was sold for an undisclosed price to Houghton Mifflin Harcourt., Houghton Mifflin Harcourt is an educational and trade publisher in the United States. Headquartered in Boston's Back Bay, it publishes textbooks, instructional technology materials, assessments, reference works, and fiction and non-fiction for both young readers and adults., Katherine Anne "Katie" Couric (; born January 7, 1957) is an American journalist and author. She currently serves as Yahoo! Global News Anchor. Couric has been a television host on all Big Three television networks in the United States, and in her early career was an Assignment Editor for CNN. She worked for NBC News from 1989 to 2006, CBS News from 2006 to 2011, and ABC News from 2011 to 2014. In addition to her television news roles, she hosted "Katie", a syndicated daytime talk show produced by DisneyABC Domestic Television from September 10, 2012 to June 9, 2014. Some of her most important notable roles include co-host of "Today", anchor of the "CBS Evening News," and correspondent for "60 Minutes". She also reported for nearly every television news broadcast across ABC, CBS and NBC. Couric's first book, "The Best Advice I Ever Got: Lessons from Extraordinary Lives" was a "New York Times" best-seller. In 2004, Couric earned induction into the Television Hall of Fame., CBS Television City is a television studio complex located in the Fairfax District of Los Angeles at 7800 Beverly Boulevard, at the corner of North Fairfax Avenue. Designed by architect William Pereira, it is one of two CBS television studios in southern California the other is CBS Studio Center, located in the Studio City section of the San Fernando Valley, which houses additional production facilities and the network's Los Angeles local television operations (KCBS and KCAL). Since 1961, it has served as the master control facility for CBS's west coast television network operations; prior to that, it was based at Columbia Square. The company's West Coast radio production center is located more than a mile away to the south, in the Miracle Mile neighborhood., A television network is a telecommunications network for distribution of television program content, whereby a central operation provides programming to many television stations or pay television providers. Until the mid-1980s, television programming in most countries of the world was dominated by a small number of broadcast networks. Many early television networks (such as the BBC, NBC or CBC) evolved from earlier radio networks., Margarita Dania Rodriguez (born December 12, 1969) is a former co-anchor of the CBS television broadcast, "The Early Show", from December 2007 to December 2010. Rodriguez was also a substitute anchor for Katie Couric on "The CBS Evening News". Rodriguez was formerly co-anchor of the Saturday edition of "The Early Show" in 2007. , The Early Show is an American morning television program that aired on CBS from November 1, 1999 to January 7, 2012, and the ninth attempt at a morning news-talk program by the network since 1954. The program aired Monday through Friday from 7:00 to 9:00a.m. (live in the Eastern Time Zone, and on tape delay in all other time zones), although a number of affiliates either pre-empted or tape-delayed the Saturday edition. The program originally broadcast from the General Motors Building in New York City., Subject: tracy smith , Relation: occupation, Options: (A) advertising (B) architect (C) author (D) book (E) commercial (F) correspondent (G) editor (H) fashion (I) journalist (J) major (K) marketing (L) prior (M) programming (N) publisher (O) radio (P) television
[A]:
journalist