Problem: In July 1449 Esen Tayisi of the Mongols launched a large-scale, three-pronged invasion of China with his puppet khagan Toqtaq-Buqa. He personally advanced on Datong in August. The eunuch official Wang Zhen, who dominated the Ming court, encouraged the 22-year-old Zhengtong Emperor to lead his own armies into battle against Esen. The size of Esen's army is unknown but a best guess puts it at some 20,000 men. The Ming army of about 500,000 was hastily assembled; its command was made up of 20 experienced generals and a large entourage of high-ranking civil officials, with Wang Zhen acting as field marshal. On August 3 Esen's army crushed a badly supplied Chinese army at Yanghe, just inside the Great Wall. The same day the Emperor appointed his half-brother Zhu Qiyu as regent. The next day he left Beijing for Juyong Pass. The objective was a short, sharp march west to Datong via the Xuanfu garrison, a campaign into the steppe and then a return to Beijing by a southerly route through Yuzhou. Initially the march was mired by heavy rain. At Juyong Pass the civil officials and generals wanted to halt and send the emperor back to Beijing, but their opinions were overruled by Wang Zhen. On August 16, the army came upon the corpse-strewn battlefield of Yanghe. When it reached Datong on August 18, reports from garrison commanders persuaded Wang Zhen that a campaign into the steppe would be too dangerous. The "expedition" was declared to have reached a victorious conclusion and on August 20 the army set out back toward China proper.

How many is the difference in the number of people in Esen's army and the number of people in the Ming army?
Answer: 480000

Problem: Trying to snap a two-game skid, the Chargers went home for an AFC West duel with the Kansas City Chiefs. In the first quarter, San Diego's struggling offense found some life with kicker Nate Kaeding getting a 24-yard field goal, while RB LaDainian Tomlinson got a 5-yard TD run. In the second quarter, the Chargers increased its lead with Kaeding kicking a 51-yard field goal. The Chiefs would answer with kicker Dave Rayner getting a 25-yard field goal. Afterwards, San Diego ended the half with Kaeding getting a 38-yard field goal. Unfortunately, in the third quarter, the Chargers lost their lead Kansas City getting a 41-yard field goal from Rayner and QB Damon Huard completing a 22-yard TD pass to TE Tony Gonzalez. Even worse, San Diego ended up losing in the fourth quarter with Huard completing a 51-yard TD pass to WR Dwayne Bowe, along with CB Tyron Brackenridge returning a fumble 50 yards for a touchdown. One of the few positives from the game, Tomlinson would finally get his first 100-yard game of the year. He would get 132 rushing yards on 20 carries.

How many yards difference was Nate Kaeding's second field goal compared to his third field goal?
Answer: 13

Problem: On 17 August, Medvedev announced that Russian forces would begin to pull out of Georgia the following day. The two countries exchanged prisoners of war on 19 August. A Georgian official said that although his country exchanged five Russian servicemen for fifteen Georgians, among them two civilians, Georgia suspected that Russia still held two more Georgians. On 22 August, Russian forces withdrew from Igoeti and the Georgian police proceeded towards Gori. Russia claimed that its military withdrawal was completed; however, Russian checkpoints remained near Gori and two Russian lookout stations remained near Poti. On 13 September, Russian troops began withdrawing from western Georgia and by 11:00 Moscow Time, the posts near Poti were abandoned. Withdrawals from Senaki and Khobi also took place. Russian forces withdrew from the buffer zones adjacent to Abkhazia and South Ossetia on 8 October and authority over them was transferred to the European Union monitoring mission in Georgia. Russia continued to maintain a single checkpoint in the border village of Perevi. On 12 December, Russian forces withdrew; eight hours later they re-entered the village and Georgian police withdrew after the Russians threatened to fire. Russian forces then set up three checkpoints in the village. On 18 October 2010 all Russian troops in Perevi withdrew to South Ossetia and a Georgian Army unit moved in. On 9 September 2008, Russia announced that its troops in South Ossetia and Abkhazia would remain under bilateral agreements with their respective de facto governments. Russian Foreign Minister Sergey Lavrov said that a military presence in Abkhazia and South Ossetia was essential to prevent Georgia from regaining control. Georgia considers Abkhazia and South Ossetia Russian-occupied territories. In November 2011, the European Parliament passed a resolution recognising Abkhazia and South Ossetia as occupied Georgian territories.

European Parliament passed a resolution recognising Abkhazia as occupied Georgian territories how many years after all Russian troops in Perevi withdrew?
Answer: 1

Problem: The smallest front of the war was in Catalonia. In 1689 the Duke of Noailles had led French forces there aimed at bringing further pressure to bear on the Spanish by re-igniting a peasant rising against Charles II, which initially broke out in 1687. Exploiting the situation, Noailles captured Camprodon on 22 May, but a larger Spanish army under the Duke of Villahermosa forced him to withdraw back to Roussillon in August. The Catalan campaign settled down in 1690, but a new front in Piedmont-Savoy proved more eventful. A ferment of religious animosities and Savoyard hatred of the French produced a theatre characterised by massacres and atrocities: constant guerrilla attacks by the armed populace were met by draconian reprisals. In 1690 Saint-Ruth took most of the Victor Amadeus II's exposed Duchy of Savoy, routing the Savoyard army in the process until only the great fortress of Montmelian remained in ducal hands; while to the south in Piedmont, Nicolas Catinat led 12,000 men and soundly defeated Victor Amadeus at the Battle of Staffarda on 18 August. Catinat immediately took Saluzzo, followed by Savigliano, Fossano, and Susa, but lacking sufficient troops, and with sickness rife within his army, Catinat was obliged to withdraw back across the Alps for the winter.

How many years after the peasant rising against Charles II did the Duke of Noailles take forces to Catalonia?
Answer:
2