Problem: In 1620, he crushed the Commonwealth army at the Battle of Ţuţora . The campaign was suspended for the winter but, in 1621, both sides resumed hostilities. In 1621, an army of 100,000-250,000 soldiers , led by Osman II, advanced from Constantinople and Edirne in April, towards the Polish frontier. The Polish army had 8,280 hussars, 8,200 cossack style cavalry , 1,400 Lisowski cavalry, 2,160 western cavalry, 6,800 Polish infantry, 5,800 western infantry, 800 Hungarian infantry and 25,000 Zaporozhian Cossacks. The Turks, following their victory in the Battle of Ţuţora, had high hopes of conquering Ukraine , and perhaps even toppling the Commonwealth entirely and reaching the Baltic Sea. This time, however, they were stopped by a Commonwealth army, aided by a large Cossack detachment, at the Battle of Khotyn. The 65,000 Poles and Cossacks were able to withstand an Ottoman army three times the size throughout the month of September. When the Polish cavalry rallied forth in October they broke the will of the besiegers and the Sultan sued for peace. The ensuing peace treaty resulted in no border change but the Commonwealth agreed to stop its interference in Moldavia. Both sides claimed victory, as the Commonwealth saw the battle of Khotyn as a successful stopping of the Ottoman invasion of its mainland and the Ottoman Empire achieved its goal of removing the impending threat on the Moldavian lands. The Polish-Ottoman border would remain relatively peaceful until the Polish-Ottoman War  and the Polish-Ottoman War .

How many soldiers did the Polish Army consist of?
Answer: 58440

Problem: Because of anti-communist sentiment at the start of the Cold War, the Republic of China was initially recognized as the sole legitimate government of China by the United Nations and most Western nations. On 9 January 1950, the Israeli government extended recognition to the People's Republic of China. United Nations General Assembly Resolution 505, passed on 1 February 1952 considered the Chinese communists to be rebels against the Republic of China. However, the 1970s saw a switch in diplomatic recognitions from the ROC to the PRC. On 25 October 1971, Resolution 2758 was passed by the UN General Assembly, which "decides to restore all its rights to the People's Republic of China and to recognize the representatives of its Government as the only legitimate representatives of China to the United Nations, and to expel forthwith the representatives of Chiang Kai-shek from the place which they unlawfully occupy at the United Nations and in all the organizations related to it."  Multiple attempts by the Republic of China to rejoin the UN, no longer to represent all of China but just the people of the territories it governs, have not made it past committee, largely due to diplomatic maneuvering by the PRC, which claims Resolution 2758 has settled the matter. The PRC refuses to maintain diplomatic relations with any nation that recognizes the ROC, but does not object to nations conducting economic, cultural, and other such exchanges with Taiwan that do not imply diplomatic relation. Therefore, many nations that have diplomatic relations with Beijing maintain quasi-diplomatic offices in Taipei. Similarly, the government in Taiwan maintains quasi-diplomatic offices in most nations under various names, most commonly as the Taipei Economic and Cultural Office.

What has kept the Republic of China from rejoining the UN?
Answer: diplomatic maneuvering by the PRC

Problem: The Steelers started their regular season, against the Houston Texans, in front of 64,001&#160;spectators at Heinz Field in Pittsburgh. The Steelers drove the ball 52&#160;yards on their opening drive, with their biggest gain coming on a 17-yard run from quarterback Ben Roethlisberger. Willie Parker scored a touchdown at 5:44 of the opening quarter and added a second touchdown in the following quarter. After a LaMarr Woodley interception the Steelers extended their lead to 21&#160;points when Roethlisberger completed a 13-yard touchdown pass to Ward. With 4:34 remaining in the half, former-Steelers' kicker Kris Brown converted a 34-yard field goal. Pittsburgh led the game 21-3 as time expired on the first half. In the second half, Parker scored his third touchdown of the game&#8212;surpassing his touchdown total for the entire 2007 season&#8212;and was named the AFC offensive player of the week for his performance. Pittsburgh's defense held Houston to six&#160;yards on their ensuing drive and the Steelers drove 80&#160;yards to take a 35-3 lead. The Texans scored two touchdowns in the final quarter, but Pittsburgh's James Harrison led the team with three sacks&#8212;forcing a fumble on the third&#8212;and the Steelers won their first game of the season starting out 1-0.

How many points did the Steelers win by?
Answer: 32

Problem: Trying to snap a two-game skid, the Rams flew to Qwest Field for a Week 3 NFC West duel with the Seattle Seahawks. In the first quarter, St. Louis trailed early as Seahawks kicker Olindo Mare got a 28-yard field goal, QB Matt Hasselbeck completing a 10-yard TD pass to WR Michael Bumpus, and RB Julius Jones getting a 29-yard TD run. In the second quarter, the Rams got on the board as former Seahawk kicker Josh Brown got a 43-yard field goal, yet Seattle responded with RB T.J. Duckett getting a 4-yard TD run. St. Louis would answer with Brown kicking a 29-yard field goal, yet the Seahawks increased its lead with Mare kicking a 38-yard field goal. In the third quarter, the Rams tried to rally as QB Marc Bulger completed a 21-yard TD pass to WR Dane Looker. However, in the fourth quarter, Seattle pulled away with Duckett's 1-yard TD run and Mare's 38-yard field goal.

Who scored more field goals, Olindo Mare or Josh Brown?
Answer:
Olindo Mare