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 to 1, 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, and 2048 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: African-American music is an umbrella term covering a diverse range of musics and musical genres largely developed by African Americans. Their origins are in musical forms that arose out of the historical condition of slavery that characterized the lives of African Americans prior to the American Civil War., Fritz Weiss ( Czech : Bedich Weiss ) ( 28 September 1919 - 28 September 1944 ) was a jazz musician and arranger , active in the first half of the 20th century . He was an organizer of jazz performances and an important participant in the musical life of the Theresienstadt concentration camp . Weiss was one of the victims of the Holocaust ., The Jazz Age was a period in the 1920s, ending with the Great Depression, in which jazz music and dance styles became popular, mainly in the United States, but also in Britain, France and elsewhere. Jazz originated in New Orleans as a fusion of African and European music and played a significant part in wider cultural changes in this period, and its influence on pop culture continued long afterwards. The Jazz Age is often referred to in conjunction with the Roaring Twenties., Blues is a genre and musical form originated by African Americans in the Deep South of the United States around the end of the 19th century. The genre developed from roots in African musical traditions, African-American work songs and European-American folk music. Blues incorporated spirituals, work songs, field hollers, shouts, chants, and rhymed simple narrative ballads. The blues form, ubiquitous in jazz, rhythm and blues and rock and roll, is characterized by the call-and-response pattern, the blues scale and specific chord progressions, of which the twelve-bar blues is the most common. Blue notes (or "worried notes"), usually thirds or fifths flattened in pitch, are also an essential part of the sound. Blues shuffles or walking bass reinforce the trance-like rhythm and form a repetitive effect known as the groove., West Africa, also called Western Africa and the West of Africa, is the westernmost subregion of Africa. West Africa has been defined as including 18 countries: Benin, Burkina Faso, the island nation of Cape Verde, Gambia, Ghana, Guinea, Guinea-Bissau, Ivory Coast, Liberia, Mali, Mauritania, Niger, Nigeria, the island of Saint Helena, Senegal, Sierra Leone, São Tomé and Príncipe and Togo., Improvisation is broad term referring to the process of devising an atypical method of solving a problem due to lack of time or resources. In a technical context, this can mean adapting a device for some use other than that which it was designed for, or building a device from unusual components in an ad-hoc fashion. Improvisation, within the context of performing arts, is a very spontaneous performance without specific or scripted preparation. The skills of improvisation can apply to many different faculties, across all artistic, scientific, physical, cognitive, academic, and non-academic disciplines., Terezín is a former military fortress composed of citadel and adjacent walled garrison town of Litomice District, in the Ústí nad Labem Region of the Czech Republic., Africa is the world's second-largest and second-most-populous continent. At about 30.3 million km² (11.7 million square miles) including adjacent islands, it covers 6% of Earth's total surface area and 20.4 % of its total land area. With 1.1 billion people as of 2013, it accounts for about 15% of the world's human population. The continent is surrounded by the Mediterranean Sea to the north, both the Suez Canal and the Red Sea along the Sinai Peninsula to the northeast, the Indian Ocean to the southeast, and the Atlantic Ocean to the west. The continent includes Madagascar and various archipelagos. It contains 54 fully recognized sovereign states (countries), nine territories and two "de facto" independent states with limited or no recognition., Jazz is a music genre that originated amongst African Americans in New Orleans, United States, in the late 19th and early 20th centuries. Since the 1920s jazz age, jazz has become recognized as a major form of musical expression. It emerged in the form of independent traditional and popular musical styles, all linked by the common bonds of African American and European American musical parentage with a performance orientation. Jazz is characterized by swing and blue notes, call and response vocals, polyrhythms and improvisation. Jazz has roots in West African cultural and musical expression, and in African-American music traditions including blues and ragtime, as well as European military band music. Although the foundation of jazz is deeply rooted within the Black experience of the United States, different cultures have contributed their own experience and styles to the art form as well. Intellectuals around the world have hailed jazz as "one of America's original art forms"., A ghetto is a part of a city in which members of a minority group live, especially because of social, legal, or economic pressure. The term was originally used in Venice to describe the part of the city to which Jews were restricted and segregated. The term has been applied in various contexts., Ragtime  also spelled rag-time or rag time  is a musical genre that enjoyed its peak popularity between 1895 and 1918. Its cardinal trait is its syncopated, or "ragged", rhythm. The genre has its origins in African-American communities like St. Louis years before being published as popular sheet music for piano. Ernest Hogan (18651909) was a pioneer of ragtime music and was the first to compose ragtime into sheet music. The composition was called "LA Pas Ma LA" and it was released in 1895. Hogan has also been credited for coining the term "ragtime". The term is actually derived from his hometown "Shake Rag" in Bowling Green, Kentucky. Ben Harney, who is also a Kentucky native has often been credited for introducing the music to the mainstream public. His first ragtime composition "You've been a good old wagon but you done broke" helped popularize the musical genre. The composition was published in 1895 but released in 1896. Ragtime was also a modification of the march made popular by John Philip Sousa, with additional polyrhythms coming from African music. The ragtime composer Scott Joplin ("ca." 18681917) became famous through the publication of the "Maple Leaf Rag" (1899) and a string of ragtime hits such as "The Entertainer" (1902), although he was later forgotten by all but a small, dedicated community of ragtime aficionados until the major ragtime revival in the early 1970s. For at least 12 years after its publication, "Maple Leaf Rag" heavily influenced subsequent ragtime composers with its melody lines, harmonic progressions or metric patterns., Theresienstadt concentration camp, also referred to as Theresienstadt ghetto, was a concentration camp established by the SS during World War II in the garrison city of Terezín, located in German-occupied Czechoslovakia., Subject: fritz weiss, Relation: country_of_citizenship, Options: (A) academic (B) american (C) benin (D) burkina faso (E) czech republic (F) czechoslovakia (G) earth (H) france (I) ghana (J) guinea (K) madagascar (L) mauritania (M) niger (N) senegal (O) venice
[A]: czech republic


[Q]: Context: The Limpopo River rises in central southern Africa, and flows generally eastwards to the Indian Ocean. The term Limpopo is the modified version of the original Sepedi name "diphororo tša meetse", meaning gushing strong waterfalls". The river is approximately long, with a drainage basin in size. The mean discharge measured over a year is 170 m/s (6,200 cu ft/s) at its mouth. The Limpopo is the second largest river in Africa that drains to the Indian Ocean, after the Zambezi River., Namibia, officially the Republic of Namibia (German: ), is a country in southern Africa whose western border is the Atlantic Ocean. It shares land borders with Zambia and Angola to the north, Botswana to the east and South Africa to the south and east. Although it does not border Zimbabwe, a part of less than 200 metres of the Zambezi River (essentially a small bulge in Botswana to achieve a Botswana/Zambia micro-border) separates the two countries. Namibia gained independence from South Africa on 21 March 1990, following the Namibian War of Independence. Its capital and largest city is Windhoek, and it is a member state of the United Nations (UN), the Southern African Development Community (SADC), the African Union (AU), and the Commonwealth of Nations., Jonathan Nathaniel Moyo (born 12 January 1957) is a Zimbabwean politician who has served in the government of Zimbabwe as Minister of Higher Education since 2015. He previously served as Minister of Information from 2000 to 2005 and again from 2013 to 2015. He was elected to the House of Assembly of Zimbabwe as an independent candidate in 2005 and 2008. He is considered the core architect of AIPPA and POSA., Zimbabwe, officially the Republic of Zimbabwe, is a landlocked country located in southern Africa, between the Zambezi and Limpopo Rivers. It is bordered by South Africa to the south, Botswana to the west and southwest, Zambia to the northwest, and Mozambique to the east and northeast. Although it does not border Namibia, less than 200 metres of the Zambezi River separates it from that country. The capital and largest city is Harare. A country of roughly 13 million people, Zimbabwe has 16 official languages, with English, Shona, and Ndebele the most commonly used., South Africa, officially the Republic of South Africa (RSA), is the southernmost country in Africa. It is bounded on the south by of coastline of Southern Africa stretching along the South Atlantic and Indian Oceans, on the north by the neighbouring countries of Namibia, Botswana and Zimbabwe, and on the east and northeast by Mozambique and Swaziland, and surrounding the kingdom of Lesotho. South Africa is the 25th-largest country in the world by land area, and with close to 56 million people, is the world's 24th-most populous nation. It is the southernmost country on the mainland of the Old World or the Eastern Hemisphere. It is the only country that borders both the Atlantic Ocean and the Indian Ocean. About 80 percent of South Africans are of Sub-Saharan African ancestry, divided among a variety of ethnic groups speaking different Bantu languages, nine of which have official status. The remaining population consists of Africa's largest communities of European (white), Asian (Indian), and multiracial (coloured) ancestry., Tafataona P. Mahoso dubbed ' the Media Hangman ' was the controversial and vitriolic chairman of the Media and Information Commission ( MIC ) , an organ that was created by Jonathan Moyo to control the media in Zimbabwe , pursuant of AIPPA . He was replaced by Chinondidyachii Mararike in early 2008 when a judge determined that he was unfit to perform his duties as the chairman of MIC because he was ' politically biased . ' . He was controversially reappointed to a Zimbabwe media board in October 2009 even though a parliamentary committee gave him low marks during an interview ., Harare (officially called Salisbury until 1982) is the capital and most populous city of Zimbabwe. Situated in the north-east of the country in the heart of historic Mashonaland, the city has an estimated population of 1,606,000 (2009), with 2,800,000 in its metropolitan area (2006). Administratively, Harare is a metropolitan province, which also incorporates Chitungwiza town and Epworth. It is situated at an elevation of above sea level and its climate falls into the subtropical highland category., Botswana , officially the Republic of Botswana, is a landlocked country located in Southern Africa. The citizens refer to themselves as "Batswana" (singular: "Motswana"). Formerly the British protectorate of Bechuanaland, Botswana adopted its new name after becoming independent within the Commonwealth on 30 September 1966. Since then, it has maintained a strong tradition of stable representative democracy, with a consistent record of uninterrupted democratic elections., Subject: tafataona mahoso, Relation: date_of_birth, Options: (A) 1 (B) 12 january 1957 (C) 170 (D) 1957 (E) 1982 (F) 200 (G) 2000 (H) 2005 (I) 2008 (J) 2009 (K) 2013 (L) 21 march 1990 (M) 30 (N) 30 september 1966 (O) 56 (P) 6 (Q) 606 (R) 80 (S) september 1966
[A]:
12 january 1957