Problem: Erard and Philippa landed in France in January 1216.  On their journey to Le Puy-en-Velay, Erard was arrested by agents of the king of France but managed to escape and get to Champagne.  Erard and his supporters took up a position in Noyers, which Blanche of Navarre then besieged in April 1216.  That same month Erard accepted a truce and submitted the matter to the king of France for arbitration. In July 1216, King Philip II finally heard Erard's suit at Melun, but ruled in Blanche's favor due to the overwhelming evidence she provided:  the barons of the realm had sworn to support Theobald III should Henry II not return from the Holy Land, Theobald III had done homage to the king in 1198, Blanche had done homage to the king in 1201, and Theobald IV himself had made an innovative "anticipatory homage" in 1214.  Blanche even provided numerous letters patent, bearing the seals of the barons who had sworn homage.  Philip II ordained that the barons await the majority of Theobald IV and his assumption of his rights as Count .  Philip II ordered Erard and the barons to seal their own letters patent confirming the court's decision and promising to observe a truce.

How many months passed between Erard submitting the matter to the king for arbitration and the king hearing his suit?
Answer: 3

Problem: Trying to snap a four-game losing streak, the Raiders flew to Invesco Field at Mile High for a Week 12 AFC West rematch with the Denver Broncos. After a scoreless first quarter, Oakland drew first blood with kicker Sebastian Janikowski getting a 26-yard field goal. The Broncos would respond with kicker Matt Prater getting a 44-yard field goal. The Raiders would close out the half as WR Johnnie Lee Higgins returned a punt 89 yards for a touchdown. In the third quarter, Denver tied the game with FB Peyton Hillis getting a 6-yard TD run. Oakland would reply with rookie RB Darren McFadden getting a 1-yard TD run. In the fourth quarter, the Raiders pulled away as QB JaMarcus Russell completed a 4-yard TD pass to former Broncos WR Ashley Lelie, while McFadden got another 1-yard TD run.

How many yards was the total yardage of all the offensive touchdowns combined?
Answer: 12

Problem: The Patriots began their season at home with an AFC duel against the Cincinnati Bengals. After a Bengals punt, the Patriots scored the first points of the game, racing 72 yards in 5 plays, scoring on a 9-yard touchdown pass from Tom Brady to Wes Welker. Following a Bengals punt, the Patriots marched all the way to the Bengals 14, but had to settle for a 32-yard field goal by Stephen Gostkowski, extending the lead to 10-0. On the third play of the Bengals next drive, Cedric Benson  fumbled with Rob Ninkovich recovering at the Bengals 34. The Patriots only gained 4 yards and Gostkowski missed a 47-yard field goal, keeping the score 10-0. After another Bengals punt, the Patriots engineered a 10 play, 80-yard drive, scoring on another touchdown pass from Brady to Welker, widening the lead to 17-0. The Bengals reached Patriots territory for the first time on their next drive, but Gary Guyton intercepted Carson Palmer at the 41 and returned it 59 yards for a touchdown, giving the Patriots a big 24-0 lead. The Bengals finally struck on their next drive, driving to the Patriots 35, and Mike Nugent hitting a 53-yard field goal, making the score 24-3. After Ben Tate returned the ensuing kick 38 yards to the Patriots 32, the Patriots reached the Bengals 37, but Gostkowski missed the 55-yard field goal attempt wide right. Palmer connected with Jordan Shipley for a 51-yard gain on the last play of the first half, but they couldn't reach the end zone and the Patriots led 24-3 at halftime. Tate returned the opening kickoff of the second half 97 yards for a touchdown, blowing the game open 31-3. The Bengals countered with a 12 play, 85-yard drive, in just under seven minutes, scoring on a 1-yard touchdown pass from Palmer to Jermaine Gresham, trimming the deficit to 31-10. After a Patriots three-and-out, the Bengals continued their comeback, marching 74 yards in 12 plays, scoring on a 28-yard touchdown pass from Palmer to Chad Ochocinco, trimming the deficit to a manageable 31-17. The Patriots ended any hope of a Bengals comeback on their next drive, engineering a 14 play, 81-yard drive, in nearly eight minutes, scoring on a 1-yard touchdown pass from Brady to rookie Rob Gronkowski, increasing the lead to 38-17 midway through the fourth quarter. The Bengals answered, racing 76 yards in under four minutes, scoring on a 1-yard touchdown run by Benson, bringing the score to 38-24 with just under four minutes to play and giving the Bengals some hope, but the Patriots got the ball after Malik Johnson was flagged for illegal touch on the onside kick. The Patriots drove all the way to the Bengals 7 and turned the ball over on downs, draining over two minutes off the clock. The Bengals ran out the rest of the clock and the Patriots won the game.

How many points were scored in the first half?
Answer: 27

Problem: As early as 1070, Adam von Bremen referred to Roskilde as "Zealands largest town". At the time of the Reformation in 1536, it had some 6,000 inhabitants but as a result of war, fire and disease, by 1753 its population had dropped to only 1,550. By the 1860s, it had grown to around 5,000 and by the 1900s to some 9,000. Thereafter it increased appreciably until 1970 when there were almost 45,000 inhabitants. The population dipped slightly to 40,000 in the 1980s, but thanks to improved connections with Copenhagen and the establishment of the university, it grew steadily to reach 47,117 by 2014 making Roskilde Denmarks tenth largest city.

What was the lowest population in Roskilde?
Answer:
1,550