Input: 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.

Now answer this question: What concept is associated with the solvability of polynomials?

Output: Abstract properties of Galois groups

Input: Article: The only foreign diplomatic experience Montini underwent was his time in the nunciature in Warsaw, Poland in 1923. Like Achille Ratti before him,[a] he felt confronted with the huge problem, not limited to Poland, of excessive nationalism: "This form of nationalism treats foreigners as enemies, especially foreigners with whom one has common frontiers. Then one seeks the expansion of one's own country at the expense of the immediate neighbours. People grow up with a feeling of being hemmed in. Peace becomes a transient compromise between wars." When he was recalled to Rome he was happy to go, because "this concludes this episode of my life, which has provided useful, though not always joyful, experiences."

Now answer this question: Where was Montini happy to return to after his tenure in Poland?

Output: Rome

Input: Article: Due to the Budget sequestration in 2013, the USAF was forced to ground many of its squadrons. The Commander of Air Combat Command, General Mike Hostage indicated that the USAF must reduce its F-15 and F-16 fleets and eliminate platforms like the A-10 in order to focus on a fifth-generation jet fighter future. In response to squadron groundings and flight time reductions, many Air Force pilots have opted to resign from active duty and enter the Air Force Reserve and Air National Guard while pursuing careers in the commercial airlines where they can find flight hours on more modern aircraft.

Now answer this question: Who was the Commander of Air Combat Command in 2013?

Output:
General Mike Hostage