Problem: In the Treaty of Labiau on 20 November, Charles X Gustav of Sweden granted Frederick William of Brandenburg full sovereignty in the Duchy of Prussia in turn for a more active participation in the war. In the Treaty of Radnot on 6 December, Charles X Gustav promised to accept George II Rakoczi of Transylvania as king of Poland and Grand Duke of Lithuania in return for his entrance into the war. Rakoczi entered the war in January 1657, crossing into the commonwealth with a force of 25,000 Transylvanian-Wallachian-Moldavian men and 20,000 Cossacks who broke the Polish siege of Krakow before they met with Charles X Gustav, who had led a Swedish-Brandenburgian army southwards. The following month saw the Swedish-Brandenburg-Transylvanian-Romanian-Cossack forces play cat and mouse with the Polish-Lithuanian forces, moving about all of the commonwealth without any major engagements, except the capture of Brest by Charles X Gustav in May, and the sack of Warsaw by Rakoczi and Gustaf Otto Stenbock on 17 June. Due to internal conflicts within the Cossacks practically there was no participation of Cossack Hetmanate in that war. Worn out from previous campaigns and requesting Bohdan Khmelnytsky to break with Sweden, Alexis of Russia eventually signed the Truce of Vilna or Niemiez with the Polish-Lithuanian Commonwealth, and did not engage the Swedish army in any major battle throughout 1657 even though he still reinforced his armies in Livonia. On 18 June, a Swedish force defeated a Russian army of 8,000 men commanded by Matvey V. Sheremetev in the Battle of Walk at Walk . In early 1658, Sweden and Russia agreed on a truce, resulting in the Treaty of Valiesar and the Treaty of Kardis . The Russian war with Poland-Lithuania on the other hand resumed in 1658.

What year was the Treaty of Labiau signed?
Answer:

Problem: Coming off their loss to the Seahawks and subsequent bye week, the Broncos returned home for an interconference duel against the Arizona Cardinals. The Cardinals grabbed the early lead, with a 33-yard field goal by placekicker Chandler Catanzaro. The Broncos then claimed the lead, with quarterback Peyton Manning throwing his 500th career touchdown pass a 7-yarder to tight end Julius Thomas. Another field goal by Catanzaro from 48 yards out, narrowed the Broncos' lead to 7-6. The Broncos expanded their lead midway through the second quarter, with Manning connecting on a 31-yard touchdown pass to wide receiver Demaryius Thomas. On the Broncos' next possession, Manning was intercepted by Cardinals' defensive end Calais Campbell deep in Broncos' territory. The Cardinals' offense capitalized on the next play, with a 5-yard touchdown run by running back Andre Ellington. After the two teams traded punts, Manning threw another touchdown pass to Demaryius Thomas an 86-yarder just after the two-minute warning. The Broncos added to their lead in the third quarter, with a 44-yard field goal by placekicker Brandon McManus. Cardinals' quarterback Drew Stanton, playing in place of an injured Carson Palmer, was knocked out of the game with a concussion by Broncos' linebacker Von Miller. Later in the third quarter, third-string quarterback Logan Thomas threw an 81-yard touchdown pass to Ellington to narrow the Broncos' lead to 24-20. However, in the fourth quarter, the Broncos pulled away from the Cardinals and scored the final 17 points of the game, with a 41-yard field goal by McManus, a 12-yard touchdown pass from Manning to Julius Thomas and an 8-yard touchdown run by running back Juwan Thompson. The Broncos improved their all-time series record against the Cardinals to 8-1-1, and remained unbeaten in home games against the Cardinals (5-0).

How many field goals did Brandon McManus kick in the second half?
Answer: 2

Problem: After a scoreless first quarter, the Cardinals struck first on a Jay Feely 47-yard field goal. The Lions responded with a 72-yard touchdown pass from Matthew Stafford to Calvin Johnson, to take a 7-3 lead. The Cardinals went up 10-7 on a 36-yard TD pass from Carson Palmer to Andre Ellington. The Lions retook the lead, 14-10, when Stafford and Johnson connected again, this time on a 3-yard TD pass. Arizona scored first in the third quarter, capitalizing on a Lions turnover with a 23-yard Jay Feely field goal. The Lions got a turnover of their own, as DeAndre Levy returned an interception 66 yards for a touchdown, making the score 21-13. The Cardinals finished the third quarter scoring with a 43-yard Feely field goal to close the score to 21-16. Feely hit again from 33 yards early in the fourth quarter to make the score 21-19. A pass interference penalty by Bill Bentley put the ball on the Lions 1-yard line late in the final quarter, and Arizona's Rashard Mendenhall plunged over two plays later for a touchdown. Arizona failed on a 2-point conversion, making the final score Cardinals 25, Lions 21. Matthew Stafford was 24-of-36 passing for 278 yards and two touchdowns. Calvin Johnson led all receivers with 6 receptions for 116 yards and two touchdowns. David Akers missed a 47-yard field goal, and had another field goal attempt blocked.

How many yards did Calvin Johnson have on his two touchdown receptions?
Answer: 75

Problem: Coming off their home win over the Cardinals, the Redskins flew to Cowboys Stadium for a Week 3 NFC East duel with the Dallas Cowboys on Monday night. Washington threw the game's opening punch in the first quarter with a 46-yard field goal from kicker Graham Gano. The Cowboys answered with kicker Dan Bailey getting a 41-yard field goal, while the Redskins replied with Gano's 27-yard field goal. Dallas would take the lead in the second quarter as Bailey made a 27-yard and a 32-yard field goal, yet the Redskins closed out the half with Gano's 50-yard field goal. Washington began the third quarter with quarterback Rex Grossman finding running back Tim Hightower on a 1-yard touchdown pass. The Cowboys would end the third quarter with Bailey making a 41-yard field goal. Dallas regained the lead in the fourth quarter with Bailey booting a 23-yard and a 40-yard field goal. The 'Skins tried to rally, but the Cowboys' defense held on to preserve the win.

How many field goals between 30 and 50 were made?
Answer:
6