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).
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Question: 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

Answer: conjecture

Question: Context: Paul Gage is a research computer scientist who works at Cray Supercomputers . He is most well known for collaborating with David Slowinski on an algorithm that is credited with the discovery of several of the largest Mersenne primes : 2756839 1 in 1992 , 2859433 1 in 1994 , and 21257787 1 in 1996 ., In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number that can be written in the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. The first four Mersenne primes are 3, 7, 31, and 127., A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems., David Slowinski is a mathematician involved in prime numbers. His career highlights have included the discovery of several of the largest known Mersenne primes:
He has also written several textbooks on the subject., Subject: paul gage, Relation: occupation, Options: (A) friar (B) mathematician

Answer: mathematician

Question: Context: Ezra Cornell (January 11, 1807 December 9, 1874) was an American businessman, politician, philanthropist and educational administrator. He was the founder of Western Union and a co-founder of Cornell University. He also served as President of the New York Agriculture Society and as a New York state Senator., The University of Florida (commonly referred to as Florida or UF) is an American public land-grant, sea-grant, and space-grant research university on a campus in Gainesville, Florida. It is a senior member of the State University System of Florida and traces its origins to 1853, and has operated continuously on its Gainesville campus since September 1906., Andrew Dickson White (November 7, 1832 November 4, 1918) was an American historian and educator, who was the cofounder of Cornell University and served as its first president for nearly two decades. He was known for expanding the scope of college curriculae. A politician, he had served as state senator in New York. He was later appointed as a US diplomat to Germany and Russia, among other responsibilities., The State University System of Florida (SUS, or SUSF out-of-state) is a system of twelve public universities in the U.S. state of Florida. As of 2015, over 341,000 students were enrolled in Florida's state universities. Together with the Florida College System, which includes Florida's 28 community colleges and state colleges, it is part of Florida's system of public higher education. The system, headquartered in Tallahassee, is overseen by a Chancellor and governed by the Florida Board of Governors., Ithaca is a city in the Southern Tier-Finger Lakes region of New York. It is the seat of Tompkins County, as well as the largest community in the Ithaca-Tompkins County metropolitan area. This area contains the municipalities of the Town of Ithaca, the village of Cayuga Heights, and other towns and villages in Tompkins County. The city of Ithaca is located on the southern shore of Cayuga Lake, in Central New York. It is named for the Greek island of Ithaca., Gainesville is the county seat and largest city in Alachua County, Florida, United States, and the principal city of the Gainesville, Florida Metropolitan Statistical Area (MSA). The population of Gainesville in the 2013 US Census estimates was 127,488, a 2.4% growth from 2010. Gainesville is the largest city in the region of North Central Florida. It is also a component of the Gainesville-Lake City Combined Statistical Area, which had a 2013 population of 337,925., Cornell University is an American private Ivy League and federal land-grant doctoral university located in Ithaca, New York. Founded in 1865 by Ezra Cornell and Andrew Dickson White, the university was intended to teach and make contributions in all fields of knowledgefrom the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's motto, a popular 1865 Ezra Cornell quotation: "I would found an institution where any person can find instruction in any study.", W. Kent Fuchs ( / fks / ; born 1954 ) is an American university professor and academic administrator . He is the current president of the University of Florida in Gainesville , Florida . Upon taking office on January 1 , 2015 , he became the university 's twelfth president . He previously served as the provost of Cornell University from 2009 through 2014 . Fuchs was the Joseph Silbert Dean of the Cornell University College of Engineering from 2002 to 2008 . He also served as head of the School of Electrical and Computer Engineering , Purdue University , and Michael J. and Katherine R. Birck Distinguished Professor , from 1996 to 2002 , and professor in the Department of Electrical and Computer Engineering and the Coordinated Science Laboratory , University of Illinois , from 1985 to 1996 ., The Ivy League is a collegiate athletic conference comprising sports teams from eight private institutions of higher education in the Northeastern United States. The conference name is also commonly used to refer to those eight schools as a group beyond the sports context. The eight institutions are Brown University, Columbia University, Cornell University, Dartmouth College, Harvard University, the University of Pennsylvania, Princeton University, and Yale University. The term "Ivy League" has connotations of academic excellence, selectivity in admissions, and social elitism., Subject: w. kent fuchs, Relation: position_held, Options: (A) 4 (B) administrator (C) chancellor (D) columbia university (E) founder (F) politician (G) president (H) york

Answer:
chancellor