TASK DEFINITION: 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).
PROBLEM: Context: The megadiverse countries are a group of countries that harbor the majority of Earth's species and high numbers of endemic species. Conservation International identified 17 megadiverse countries in 1998. Many of them are located in, or partially in, tropical or subtropical regions., South America is a continent located in the western hemisphere, mostly in the southern hemisphere, with a relatively small portion in the northern hemisphere. It is also considered a subcontinent of the Americas, which is the model used in nations that speak Romance languages. The reference to South America instead of other regions (like Latin America or the Southern Cone) has increased in the last decades due to changing geopolitical dynamics (in particular, the rise of Brazil)., Chile, officially the Republic of Chile, is a South American country occupying a long, narrow strip of land between the Andes to the east and the Pacific Ocean to the west. It borders Peru to the north, Bolivia to the northeast, Argentina to the east, and the Drake Passage in the far south. Chilean territory includes the Pacific islands of Juan Fernandez, Salas y Gomez, Desventuradas, and Easter Island in Oceania. Chile also claims about of Antarctica, although all claims are suspended under the Antarctic Treaty., Latin America is a group of countries and dependencies in the Americas where Romance languages are predominant. The term originated in 19th century France as "Amerique latine" to consider French-speaking territories in the Americas (Haiti, French Guiana, Martinique, Guadeloupe, Saint Martin, Saint Barthelemy) along with the larger group of countries where Spanish and Portuguese languages prevailed. It is therefore broader than the terms Ibero-America or Hispanic Americathough it usually excludes French Canada and modern French Louisiana., Brazil, officially the Federative Republic of Brazil, is the largest country in both South America and Latin America. As the world's fifth-largest country by both area and population, it is the largest country to have Portuguese as an official language and the only one in the Americas. Bounded by the Atlantic Ocean on the east, Brazil has a coastline of . It borders all other South American countries except Ecuador and Chile and covers 47.3% of the continent's land area. Its Amazon River basin includes a vast tropical forest, home to diverse wildlife, a variety of ecological systems, and extensive natural resources spanning numerous protected habitats. This unique environmental heritage makes Brazil one of 17 megadiverse countries, and is the subject of significant global interest and debate regarding deforestation and environmental protection., The Copa Libertadores Femenina (sometimes called Copa Libertadores Femenino) is an annual international women's association football club competition in South America. It is organised by the South American Football Federation (CONMEBOL). The competition started in the 2009 season in response to the increased interest in women's football. It is the only CONMEBOL club competition for women., The Copa Libertadores de America is an annual international club football competition organized by CONMEBOL since 1960. It is one of the most prestigious tournaments in the world and the most prestigious club competition in Latin American football. The tournament is named in honor of the "Libertadores" (Spanish and Portuguese for "liberators"), the main leaders of the South American wars of independence, so a literal translation of its name into English would be ""Liberators of America Cup""., Women's association football, also commonly known as women's soccer, is the most prominent team sport played by women around the globe. It is played at the professional level in numerous countries throughout the world and 176 national teams participate internationally., Ecuador, officially the Republic of Ecuador (which literally translates as "Republic of the Equator"), is a representative democratic republic in northwestern South America, bordered by Colombia on the north, Peru on the east and south, and the Pacific Ocean to the west. Ecuador also includes the Galapagos Islands in the Pacific, about west of the mainland., The South American Football Confederation (CONMEBOL, or CSF) is the continental governing body of association football in South America (apart from Guyana, Suriname and French Guiana) and it is one of FIFA's six continental confederations. The oldest continental confederation in the world, its headquarters are located in Luque, Paraguay, near Asuncion. CONMEBOL is responsible for the organization and governance of South American football's major international tournaments. With 10 member football associations, it has the fewest members of all the confederations in FIFA., Santos Futebol Clube , commonly known as Santos or Sereias da Vila , is a Brazilian women 's football ( soccer ) club , based in the city of Santos , Sao Paulo state , Brazil . They won the Copa do Brasil twice and the Copa Libertadores Femenina twice . The women 's team was dissolved in 2012 for monetary reasons , then re-established in 2015 ., Subject: santos fc , Relation: instance_of, Options: (A) area (B) association football (C) association football club (D) brazil (E) club (F) competition (G) confederation (H) conservation (I) continent (J) country (K) football (L) football club (M) governance (N) group (O) harbor (P) headquarters (Q) island (R) language (S) model (T) name (U) ocean (V) organization (W) professional (X) representative (Y) republic (Z) romance ([) season (\) species (]) team (^) team sport (_) term (') variety

SOLUTION: association football club

PROBLEM: Context: Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum., In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found. Conjectures such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (which was a conjecture until proven in 1995) have shaped much of mathematical history as new areas of mathematics are developed in order to prove them., The Riemann zeta function or EulerRiemann zeta function, , is a function of a complex variable "s" that analytically continues the sum of the Dirichlet series , In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . It was proposed by , after whom it is named. The name is also used for some closely related analogues, such as the Riemann hypothesis for curves over finite fields., A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which proceed by listing the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions., A complex number is a number that can be expressed in the form , where and are real numbers and is the imaginary unit, satisfying the equation . In this expression, is the ' and is the ' of the complex number. If formula_1, then formula_2, In mathematics, a finite field or Galois field (so-named in honor of Evariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod when is a prime number., In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation., In mathematics , the grand Riemann hypothesis is a generalisation of the Riemann hypothesis and Generalized Riemann hypothesis . It states that the nontrivial zeros of all automorphic L - functions lie on the critical line 1/2 + it with t a real number variable and i the imaginary unit . The modified grand Riemann hypothesis is the assertion that the nontrivial zeros of all automorphic L - functions lie on the critical line or the real line ., Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework., Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics., The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so-called global L-functions, which are formally similar to the Riemann zeta-function. One can then ask the same question about the zeros of these "L"-functions, yielding various generalizations of the Riemann hypothesis. Many mathematicians believe these generalizations of the Riemann hypothesis to be true. The only cases of these conjectures which have been proven occur in the function field case (not the number field case)., Subject: grand riemann hypothesis, Relation: instance_of, Options: (A) class (B) complex (C) complex number (D) conjecture (E) definition (F) division (G) equation (H) field (I) function (J) hypothesis (K) magnitude (L) mathematics (M) may (N) number (O) order (P) phrase (Q) plane (R) position (S) prime number (T) quantity (U) relation (V) relationship (W) series (X) space (Y) statement (Z) structure ([) study (\) sum (]) term (^) theorem (_) three (') time (a) unit of measurement (b) variable

SOLUTION: conjecture

PROBLEM: Context: Alkmaar is a municipality and a city in the Netherlands, in the province of North Holland. Alkmaar is well known for its traditional cheese market. For tourists, it is a popular cultural destination., The Netherlands is the main constituent country of the Kingdom of the Netherlands. It is a densely populated country located in Western Europe with three island territories in the Caribbean. The European part of the Netherlands borders Germany to the east, Belgium to the south, and the North Sea to the northwest, sharing maritime borders with Belgium, the United Kingdom, and Germany. The largest cities in the Netherlands are Amsterdam, Rotterdam, The Hague and Utrecht. Amsterdam is the country's capital, while The Hague holds the Dutch seat of government and parliament. The name "Holland" is used to refer informally to the whole of the country of the Netherlands., Gerard Friedrich "Gerrie" Knetemann (6 March 1951 in Amsterdam 2 November 2004 in Bergen, North Holland) was a Dutch road bicycle racer who won the 1978 World Championship., Roxane Knetemann ( born April 1 , 1987 in Alkmaar ) is a Dutch professional racing cyclist . She is the daughter of former cyclist Gerrie Knetemann ., Subject: roxane knetemann, Relation: occupation, Options: (A) bicycle racer (B) united kingdom

SOLUTION:
bicycle racer