The problem: Answer a question about this article:
Exchanging "+" and "" in the expression, i.e. permuting the two solutions of the equation can be viewed as a (very simple) group operation. Similar formulae are known for cubic and quartic equations, but do not exist in general for degree 5 and higher. Abstract properties of Galois groups associated with polynomials (in particular their solvability) give a criterion for polynomials that have all their solutions expressible by radicals, i.e. solutions expressible using solely addition, multiplication, and roots similar to the formula above.
What concept is associated with the solvability of polynomials?
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The answer: Abstract properties of Galois groups

Problem: Please answer a question about the following article about Multiracial American:
During the 1800s Christian missionaries from Great Britain and the United States followed traders to the Hawaiian islands. Long-termly, the Anglo-Saxon presence negatively impacted the level of regard Hawaiian royal women held for their own indigenous looks. For centuries prior the arrival of Christians, first nation Hawaiian aesthetics, such as dark skin and ample bodies, had been considered signs of nobility. No matter how much they adapted their mannerisms to Western standard, some of the Anglo-Saxon missionaries were relentless in referring to the indigenous women as "Hawaiian squaws." By the last half of the 19th century, some Hawaiian women began marrying European men who found them exotic. The men, however, selected Hawaiian women who were thinner and paler in complexion.
What did westerners call the women of Hawaii?
A: Hawaiian squaws

Question: Read this and answer the question

The sensitivity of Earth-based infrared telescopes is significantly limited by water vapor in the atmosphere, which absorbs a portion of the infrared radiation arriving from space outside of selected atmospheric windows. This limitation can be partially alleviated by placing the telescope observatory at a high altitude, or by carrying the telescope aloft with a balloon or an aircraft. Space telescopes do not suffer from this handicap, and so outer space is considered the ideal location for infrared astronomy.

What limits the sensitivity of infrared telescopes on Earth?
Answer: water vapor in the atmosphere

Problem: The next three popes, including Pope Emeritus Benedict XVI, were created cardinals by him. His immediate successor, Albino Luciani, who took the name John Paul I, was created a cardinal in the consistory of 5 March 1973. Karol Wojtya was created a cardinal in the consistory of 26 June 1967. Joseph Ratzinger was created a cardinal in the small four-appointment consistory of 27 June 1977, which also included Bernardin Gantin from Benin, Africa. This became the last of Paul VI's consistories before his death in August 1978. Pope Paul was asked towards the end of his papacy whether he would retire at age 80, he replied "Kings can abdicate, Popes cannot."[citation needed]
How many future popes did Paul VI create first as cardinals?
The answer is the following: three

From early 1944 until the days leading up to the invasion, Kuribayashi transformed the island into a massive network of bunkers, hidden guns, and 11 mi (18 km) of underground tunnels. The heavy American naval and air bombardment did little but drive the Japanese further underground, making their positions impervious to enemy fire. Their pillboxes and bunkers were all connected so that if one was knocked out, it could be reoccupied again. The network of bunkers and pillboxes greatly favored the defender.
How many miles of hidden tunnel were on the island?
11

Here is a question about this article: Better acquaintance with Greek and Roman technical writings also influenced the development of European science (see the history of science in the Renaissance). This was despite what A. C. Crombie (viewing the Renaissance in the 19th-century manner as a chapter in the heroic March of Progress) calls "a backwards-looking admiration for antiquity", in which Platonism stood in opposition to the Aristotelian concentration on the observable properties of the physical world. But Renaissance humanists, who considered themselves as restoring the glory and nobility of antiquity, had no interest in scientific innovation. However, by the mid-to-late 16th century, even the universities, though still dominated by Scholasticism, began to demand that Aristotle be read in accurate texts edited according to the principles of Renaissance philology, thus setting the stage for Galileo's quarrels with the outmoded habits of Scholasticism.
What is the answer to this question: Who felt that looking to these ancient documents for new ideas was not the way to mover forward?
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So...
A. C. Crombie