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In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1 / x or x, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a / b is b / a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1 / 5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f (x) that maps x to 1 / x, is one of the simplest examples of a function which is its own inverse (an involution).

Answer this question based on the passage: the product of a rational number and its multiplicative inverse is?

Stream of random thoughts: To answer the above question, the relevant sentence is: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1 / x or x, is a number which when multiplied by x yields the multiplicative identity, 1.... The answer is 1.
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Passage: In the confession, Justice Wargrave writes that he has long wished to set an unsolvable puzzle of murder. His victims would be of his choosing, as they were not found guilty in a trial. He explains how he tricked Dr Armstrong into helping him fake his own death under the pretext that it would help the group identify the killer. He also explains that he replaced the chair in Vera's room. Finally, he reveals how he used the gun and some elastic to ensure his own death matched the account in the guests' diaries. Although he wished to create an unsolvable mystery, he acknowledges in the missive a "pitiful human need" for recognition, hence the confession.

Question: Based on this passage, who was the murderer in and then there were none movie?

Stream of random thoughts: To answer the above question, the relevant sentence is: In the confession, Justice Wargrave writes that he has long wished to set an unsolvable puzzle of murder.... The answer is Justice Wargrave.
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Many languages are spoken, or historically have been spoken, in the United States. Today over 350 languages are used by the U.S. population. The most commonly used language is English (specifically, American English), which is the de facto national language of the United States. Since the 1965 Immigration Act, Spanish is the second most common language in the country. The United States does not have an official language, but 32 state governments out of 50 have declared English to be one, or the only, official language. The government of Louisiana offers services and most documents in both English and French, as does New Mexico in English and Spanish. The government of Puerto Rico, a U.S. territory, operates almost entirely in Spanish, even though its official languages are Spanish and English. There are many languages indigenous to North America or to U.S. states or holdings in the Pacific region. Hawaiian, although having few native speakers, is an official language along with English of the state of Hawaii. Alaska officializes English and twenty native languages.

Answer this question: number of languages spoken in the united states?

Stream of random thoughts: This is the relevant information: Today over 350 languages are used by the U.S. population.... The answer is over 350.
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Chris Pratt as Emmet Brickowski, an everyman and construction worker from Bricksburg Will Ferrell as Lord Business, president of the Octan Corporation under the name President Business Ferrell also plays "The Man Upstairs," a Lego collector in the live-action part of the film Elizabeth Banks as Lucy / Wyldstyle, a Master Builder Will Arnett as Bruce Wayne / Batman, a DC Comics superhero who is a Master Builder Nick Offerman as Metal Beard, a giant makeshift pirate and Master Builder Alison Brie as Princess Unikitty, a unicorn-horned kitten and Master Builder from Cloud Cuckoo Land Charlie Day as Benny, a "1980-something space guy" who is a Master Builder Liam Neeson as Bad Cop / Good Cop, a double-headed police officer that leads the Super Secret Police Neeson also voices Pa Cop, Bad Cop / Good Cop's father Morgan Freeman as Vitruvius, a blind old wizard who is one of the Master Builders Channing Tatum as Clark Kent / Superman, a DC Comics superhero who is one of the Master Builders Jonah Hill as Hal Jordan / Green Lantern, a DC Comics superhero who is one of the Master Builders Cobie Smulders as Diana Prince / Wonder Woman, a DC Comics superhero who is one of the Master Builders Jadon Sand as Finn, The Man Upstairs' young son in the live-action part of the film

Based on this passage, who is morgan freeman in the lego movie?


Stream of random thoughts: To answer the question, consider the following: Morgan Freeman as Vitruvius, a blind old wizard who is one of the Master Builders... The answer is Vitruvius , a blind old wizard who is one of the Master Builders.
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