Problem: Pacific War:

Before the attack on Pearl Harbor, the 800,000-member America First Committee vehemently opposed any American intervention in the European conflict, even as America sold military aid to Britain and the Soviet Union through the Lend-Lease program. Opposition to war in the U.S. vanished after the attack. On 8 December, the United States, the United Kingdom, Canada, and the Netherlands declared war on Japan, followed by China and Australia the next day. Four days after Pearl Harbor, Nazi Germany and Fascist Italy declared war on the United States, drawing the country into a two-theater war. This is widely agreed to be a grand strategic blunder, as it abrogated the benefit Germany gained by Japan's distraction of the U.S. (predicted months before in a memo by Commander Arthur McCollum)[nb 12] and the reduction in aid to Britain, which both Congress and Hitler had managed to avoid during over a year of mutual provocation, which would otherwise have resulted.

how many members did the America First Committee have?
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A: 800,000


Problem: Montevideo:

Uruguay's 1830s were dominated by the confrontation between Manuel Oribe and Fructuoso Rivera, the two revolutionary leaders who had fought against the Empire of Brazil under the command of Lavalleja, each of whom had become the caudillo of their respective faction. Politics were divided between Oribe's Blancos ("whites"), represented by the National Party, and Rivera's Colorados ("reds"), represented by the Colorado Party, with each party's name taken from the colour of its emblems. In 1838, Oribe was forced to resign the presidency; he established a rebel army and began a long civil war, the Guerra Grande, which lasted until 1851.

Who represented Rivera's Colorados?
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A: Colorado Party


Problem: New Haven, Connecticut:

New Haven is repeatedly referenced by Nick Carraway in F. Scott Fitzgerald's literary classic The Great Gatsby, as well as by fellow fictional Yale alumnus C. Montgomery Burns, a character from The Simpsons television show. A fictional native of New Haven is Alex Welch from the novella, The Odd Saga of the American and a Curious Icelandic Flock. The TV show Gilmore Girls is set (but not filmed) in New Haven and at Yale University, as are scenes in the film The Sisterhood of the Traveling Pants 2 (2008).

Who is the fictional Yale University alumnus, and ostensible former resident of New Haven, featured on The Simpsons? 
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A: C. Montgomery Burns


Problem: John von Neumann:

But von Neumann, who had participated at the Congress, confirmed his fame as an instantaneous thinker, and in less than a month was able to communicate to Gödel himself an interesting consequence of his theorem: namely that the usual axiomatic systems are unable to demonstrate their own consistency. However, Gödel had already discovered this consequence, now known as his second incompleteness theorem and sent von Neumann a preprint of his article containing both incompleteness theorems. Von Neumann acknowledged Gödel's priority in his next letter. He never thought much of "the American system of claiming personal priority for everything."

What was the consequence of the theory of incompleteness?
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A:
usual axiomatic systems are unable to demonstrate their own consistency