Problem: Trying to snap a two-game skid, the Falcons flew to the Louisiana Superdome for a Week 7 divisional duel with the New Orleans Saints. Due to QB Joey Harrington's ineffectiveness from last week's loss to the Giants, QB Byron Leftwich was given the start. In the first quarter, Atlanta trailed early as Saints QB Drew Brees completed a 37-yard TD pass to WR Devery Henderson. The Falcons responded with former Saints kicker Morten Andersen's 38-yard field goal. In the second quarter, Atlanta began to play well as Andersen got a 33-yard field goal, while Leftwich completed a 9-yard TD pass to WR Roddy White. In the third quarter, New Orleans retook the lead with RB Pierre Thomas getting a 24-yard TD run. On the Falcons' next possession, Leftwich's left leg got injured during a sack by Saints DE Will Smith. Harrington took over for the rest of the game. In the fourth quarter, Andersen gave Atlanta a 21-yard field goal. The Saints sealed the win with Brees hooking up with RB Reggie Bush on a 4-yard TD pass, along with Bush's 2-point conversion run. With their third-straight loss, the Falcons entered their bye week at 1-6.

How many yards longer did the two longest touchdowns measure relative to the two shortest?
Answer: 48

Problem: The Patriots rebounded from their opening week loss by establishing an early insurmountable lead against the New Orleans Saints in their week 2 matchup. Brandin Cooks returned to the Bayou while the controversy surrounded Saints running backs Adrian Peterson and Mark Ingram (at this point Kamara wasn't part of the argument) over touches. Peterson would later be shipped to the Cardinals in an ironic turn of events for Chris Johnson. Tom Brady completed three first-quarter touchdown passes to Rex Burkhead, Rob Gronkowski, and Chris Hogan. The three touchdowns marked a personal record for Brady, who had never in his career had so many scores in the first quarter of any game. Mike Gillislee added a running touchdown in the second quarter, and the Patriots played a conservative second half to seal the 36-20 victory. Grownkowski injured his groin in the third quarter, causing him to leave the game.

How many points did the Patriots win by?
Answer: 16

Problem: The PRI, or Institutional Revolutionary Party is one of the major lasting legacies of the Mexican Revolution; its first iteration was the Partido Nacional Revolucionario founded in 1929 under Northern revolutionary general and president of Mexico  Plutarco Elías Calles, following the assassination of president-elect  Álvaro Obregón in 1928. The establishment of the party created an enduring structure that managed not only presidential succession but also groups with competing interests. Initially, Calles remained the power behind the presidency during a period known as the Maximato, but his hand-picked presidential candidate, Lázaro Cárdenas, won a power struggle with Calles, expelling him from the country. Cárdenas reorganized the party that Calles founded, creating formal sectors for interest groups, including one for the Mexican military. The reorganized party was named Party of the Mexican Revolution.  In 1946, the party again changed its name to the Institutional Revolutionary Party. The party under its various names held the presidency from 1929 to 2000 and since 2012, is the party again in power.

How many years passed between when the Institutional Revolutionary Party in took power the first time and the second time?
Answer: 83

Problem: Vest Recklinghausen was first mentioned in 1228 as a fiefdom of the Archbishopric of Cologne and thus it belonged to the Electoral Rhenish Circle. The administrator lived in castle Westerholt, located in Herten. From 1446 to 1576 it was used as collateral, first pawned to the lords of Gemen  and after 1492 to the Lords of Schauenburg and Holstein-Pinneberg, who pawned the territory back to the Archbishops of Cologne in 1576. During the Cologne War , Vest Recklinghausen was occupied and sacked several times by troops from both sides of the conflict. In 1583, although much of the territory was already Protestant, the Calvinist Elector of Cologne, Gebhard, Truchsess von Waldburg and his wife, Agnes, ordered the destruction of the icons and decorative elements of the churches. In 1584, the territory was sacked again, this time by the competing archbishop, Ernst of Bavaria. In 1586, the territory was invaded by Martin Schenck and Hermann Cloedt, who caused great damage to the farms and small villages, and were besieged by Claude de Berlaymont, also known as Haultpenne, in the city of Werl.

How many years was the time span where Vest Recklinghausen was used as collateral?
Answer:
130