Use a disfluent question or a proper question and find the answer to the question based on the given context or return None if an answer can't be found. A disfluent question is a question that has some interruptions in it while framing. A proper question is the correct form of the question without any disfluency.

Input: Consider Input: proper question: What is the name of one algebraic generalization prime numbers have inspired? 
 disfluent question: What is the name of one algebraic generalization conjecture no um prime numbers have inspired? 
 context: Many questions regarding prime numbers remain open, such as Goldbach's conjecture (that every even integer greater than 2 can be expressed as the sum of two primes), and the twin prime conjecture (that there are infinitely many pairs of primes whose difference is 2). Such questions spurred the development of various branches of number theory, focusing on analytic or algebraic aspects of numbers. Primes are used in several routines in information technology, such as public-key cryptography, which makes use of properties such as the difficulty of factoring large numbers into their prime factors. Prime numbers give rise to various generalizations in other mathematical domains, mainly algebra, such as prime elements and prime ideals.

Output: prime ideals


Input: Consider Input: proper question: What says that formations must be older than the inclusions inside them? 
 disfluent question: Who or no make that what says that formations must be older than the inclusions inside them? 
 context: The principle of inclusions and components states that, with sedimentary rocks, if inclusions (or clasts) are found in a formation, then the inclusions must be older than the formation that contains them. For example, in sedimentary rocks, it is common for gravel from an older formation to be ripped up and included in a newer layer. A similar situation with igneous rocks occurs when xenoliths are found. These foreign bodies are picked up as magma or lava flows, and are incorporated, later to cool in the matrix. As a result, xenoliths are older than the rock which contains them.

Output: None


Input: Consider Input: proper question: How was Sadat rewarded by the Islamists for his attempts to keep Egypt from being in modern times and civilization? 
 disfluent question: How was the Soviet Union no sorry Sadat rewarded by the Islamists for his attempts to keep Egypt from being in modern times and civilization? 
 context: Egyptian President Anwar Sadat – whose policies included opening Egypt to Western investment (infitah); transferring Egypt's allegiance from the Soviet Union to the United States; and making peace with Israel – released Islamists from prison and welcomed home exiles in tacit exchange for political support in his struggle against leftists. His encouraging of the emergence of the Islamist movement was said to have been imitated by many other Muslim leaders in the years that followed.  This gentlemen's agreement between Sadat and Islamists broke down in 1975 but not before Islamists came to completely dominate university student unions. Sadat was later assassinated and a formidable insurgency was formed in Egypt in the 1990s. The French government has also been reported to have promoted Islamist preachers in the hope of channeling Muslim energies into zones of piety and charity.


Output: None


