Problem: American Idol:

David Archuleta's performance of John Lennon's "Imagine" was considered by many as one of the best of the season. Jennifer Lopez, who was brought in as a judge in season ten, called it a beautiful song-moment that she will never forget. Jason Castro's semi-final performance of "Hallelujah" also received considerable attention, and it propelled Jeff Buckley's version of the song to the top of the Billboard digital song chart. This was the first season in which contestants' recordings were released onto iTunes after their performances, and although sales information was not released so as not to prejudice the contest, leaked information indicated that contestants' songs frequently reached the top of iTunes sales charts.

Which contestant sang "Imagine" on season seven of American Idol?
---
A: David Archuleta

Problem: Guam:

The Compacts of Free Association between the United States, the Federated States of Micronesia, the Republic of the Marshall Islands and the Republic of Palau accorded the former entities of the Trust Territory of the Pacific Islands a political status of "free association" with the United States. The Compacts give citizens of these island nations generally no restrictions to reside in the United States (also its territories), and many were attracted to Guam due to its proximity, environmental, and cultural familiarity. Over the years, it was claimed by some in Guam that the territory has had to bear the brunt of this agreement in the form of public assistance programs and public education for those from the regions involved, and the federal government should compensate the states and territories affected by this type of migration.[citation needed] Over the years, Congress had appropriated "Compact Impact" aids to Guam, the Northern Mariana Islands and Hawaii, and eventually this appropriation was written into each renewed Compact. Some, however, continue to claim the compensation is not enough or that the distribution of actual compensation received is significantly disproportionate.[citation needed]

What is the benefit of the Compacts of Free Association?
---
A: no restrictions to reside in the United States (also its territories)

Problem: Elizabeth II:

In May 2007, The Daily Telegraph, citing unnamed sources, reported that the Queen was "exasperated and frustrated" by the policies of the British Prime Minister, Tony Blair, that she was concerned the British Armed Forces were overstretched in Iraq and Afghanistan, and that she had raised concerns over rural and countryside issues with Blair. She was, however, said to admire Blair's efforts to achieve peace in Northern Ireland. On 20 March 2008, at the Church of Ireland St Patrick's Cathedral, Armagh, the Queen attended the first Maundy service held outside England and Wales. At the invitation of the Irish President, Mary McAleese, the Queen made the first state visit to the Republic of Ireland by a British monarch in May 2011.

In what year did Tony Blair become the British prime minister?
---
A: unanswerable

Problem: Group (mathematics):

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 are used to express the solutions of polynomials?
---
A:
radicals