TASK DEFINITION: This task involves creating questions from a given passage that involve some kind of complex reasoning (including numerical reasoning). 
The generated questions must require looking at more than one part of the passage to answer. Try to use a variety of reasoning types in your questions (some of the sample reasoning types are illustrated in the 'positive examples' field) and also have a variety of answer types (spans, numbers, dates). A span is a continuous phrase taken directly from the passage or question. In such questions, the answer spans are recommended to be five words. Questions with answer type "number", are expected to start with "How many". For instance, "How long did an event last?" can be phrased as "How many years did an event last?". To increase diversity, try to create more questions for which the answer will be multiple spans. Please create questions that require AT LEAST 2 arithmetic operations as illustrated in the 'positive examples' field. You are encouraged to try DIFFERENT COMBINATIONS of operations and not just limit to the combinations shown in those examples. The more challenging questions you create, the better it is.
PROBLEM: Passage: Following their road win over the Raiders, the Lions played their Week 2 home opener against their NFC North rival Minnesota Vikings for the lead in the division.  After a scoreless first quarter, Detroit pounced first with QB Jon Kitna completing a 9-yard TD pass to WR Roy Williams.  The Vikings tied the game with QB Tarvaris Jackson getting a 1-yard TD run.  The Lions took the lead prior to halftime with kicker Jason Hanson's 30-yard field goal. In the third quarter, when Kitna was temporarily out with a concussion, QB J. T. O'Sullivan came in and completed a 7-yard TD pass to Calvin Johnson to increase Detroit's lead.  Minnesota, however, tied the game up with kicker Ryan Longwell getting a 32-yard field goal and DE Ray Edwards returning a fumble 9 yards for a touchdown.  After both teams failed to score in the fourth quarter, the Vikings got the ball to begin overtime.  The Lions forced a fumble nine plays into their drive and would eventually get the win with Hanson's 37-yard field goal.

SOLUTION: How many field goals between 30 and 40 yards were made?

PROBLEM: Passage: Trying to end a three-game skid, the 49ers flew to Qwest Field for an NFC West rematch with the Seattle Seahawks on Thursday night.  In the first quarter, the Niners started off bumpy as Seahawks RB Shaun Alexander got a 3-yard TD run for Seattle's early strike and the only score of the period.  In the second quarter, San Francisco would get a field goal before halftime as kicker Joe Nedney nailed one from 39 yards out.  After a scorless third quarter, the Niners were in full force as QB Alex Smith completed an 8-yard TD pass to rookie TE Vernon Davis.  Afterwards, Smith would complete a 20-yard TD pass to RB Frank Gore.  Then, the 49ers wrapped the game up with Smith getting a very easy 18-yard QB sneak for a touchdown.  Seattle would get one more score as QB Matt Hasselbeck completed a 22-yard TD pass to TE Jerramy Stevens.  Fortunately, the Niners would get the win and the season sweep over the Seahawks.  With the win, the 49ers improved to 6-8.

SOLUTION: How long was Frank Gore's touchdown?

PROBLEM: Passage: The Mexican Empire was quickly overthrown under the Plan of Casa Mata, the provinces of the empire became independent states. The first Republic of Yucatán, declared on May 29, 1823, joined the Federal Republic of the United Mexican States as the Federated Republic of Yucatán on December 23, 1823. The second Republic of Yucatán emerged when the federal pact signed by Yucatán and endorsed in the Constitution of Yucatán of 1825 was broken by the centralist government of Mexico since 1835. In 1841 the state of Tabasco decreed its separation from Mexico and Miguel Barbachano, then governor of Yucatán, sent a commission headed by Justo Sierra O'Reilly to meet with Tabasco authorities to propose the creation of an independent federal republic from Mexico formed by the two states. The idea failed when Tabasco rejoined Mexico in 1842. On August 22, 1846, Mexican interim president José Mariano Salas restored the 1824 constitution and the federalism. Two years later, during the government of president José Joaquín de Herrera, Miguel Barbachano ordered the reinstatement of Yucatán to Mexico under the Constitution of Yucatán of 1825. A decisive factor for the reinstatement was the Caste War, which forced Yucatán to seek outside help. In 1852 due to internal struggles between opposing political factions, was created the Territory of Campeche. On April 29, 1863, during the government of Benito Juárez, Campeche gained its current status as an independent state.

SOLUTION:
How many months after the first Republic of Yucatán was declared did it join the Federal Republic of the United Mexican States as the Federated Republic of Yucatán?