Problem: Given the question: Build a movie plot around this: Where does the notebook fall out of? Hal's coat
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The answer is:
The plot alternates between events immediately following the death of Robert (Anthony Hopkins), a brilliant mathematician whose genius was undone by crippling mental illness, and flashbacks revealing the life he shared with his daughter Catherine (Gwyneth Paltrow). Catherine is also a mathematician, but she struggles with living in her father's shadow, with balancing her demanding studies with caring for her father and also with the fear that she may have inherited his mental illness. At home, Robert clings to sanity by constantly bombarding Catherine with complex mathematical problems.In the opening scene Robert startles Catherine while she watches TV in the middle of the night. He gives her a bottle of champagne for her birthday, and they chat for a while about the nature of insanity, ending with the revelation that Robert died last week and his funeral is tomorrow.Awakened from this dream, Catherine realizes that Hal (Jake Gyllenhaal), a former graduate student of Robert's, is still upstairs, reading through Robert's books. Robert filled many notebooks with meaningless notes. Hal believes that Robert's genius may have withstood his illness, and clues to that genius might lie among the gibberish of his notebooks. When Hal comments on the vast amount of work Robert did, a suspicious Catherine searches Hal's backpack. Though Catherine finds nothing in Hal's bag, a notebook falls out of his coat. He explains that he wanted to give the notebook as a birthday present because it "had something written in it about her, not math, her". Hal is forced to leave, giving the notebook as intended, when Catherine calls the police.The next day, for the funeral, Catherine's sister Claire (Hope Davis) arrives in town. A huge contrast to the unkempt Catherine, Claire is an overly put together, neurotic New Yorker. Relations between the sisters are tense, and Catherine cannot stand her sister's constant harping on matters of appearance. Catherine is also upset that Claire didn't care for her father as much as Catherine did...

Problem: Given the question: Build a movie plot around this: How long ago was the young girl murdered? 5 years
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The answer is:
Five years after a young girl was murdered when her mother seemed to have started to recover, a phone call once again shatters her life: "Mummy, it's me... come and get me". Helped by an ex-policeman and a reporter who is expert in the supernatural, she sets out on a desperate search for a terrifying truth that lay dormant until now: a group of the occult that rejects its own name, the empirical science of evil, uninhabited desolate houses that conceal things, secrets... An abominable trap. This truth spreads its tentacles through time and space, from the horror of the Holocaust to the occult fever in sixties London up to the present day. After years of lethargy, the nameless are about to be revealed. A number: 106, an abandoned motel. They might manage to find the child. Perhaps she's alive and can be saved, but the horror is only just beginning...

Problem: Given the question: Build a movie plot around this: What crashed near town? A UFO.
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The answer is:
Teenage brothers Nick and Tyler come across a UFO that crashed near their town. Soon after evading the government, mainly agent Armstrong, and keeping the UFO in seclusion, Tyler goes through dramatic physical changes and gains superhuman abilities due to his dramatic trip into space via the UFO. The situation becomes even more difficult to cover up considering that Tyler is being constantly blown off by Nick, due to Nick's efforts at chasing Julie Gunn, as well as Nick having to make a science project to graduate high school and reptile-like aliens that have begun to appear and pursue Tyler. After having literally no one left to turn to, Tyler decides to tell agent Armstrong about the UFO. After agent Armstrong explains to Tyler about the effects that his trip into space had on his body, he shoots the ship with a laser gun, thereby critically damaging it, before he reveals himself to Tyler as a reptile-like alien in disguise and captures him.Nick, feeling guilty for constantly doubting and ignoring Tyler, goes to the UFO hideout to try to apologize. Upon finding that Tyler is missing and the UFO damaged, he begins an attempt to repair the UFO. After trying all night, he is successful, and the UFO takes him to the hidden underground fortress in which the aliens are residing and realizes that it is actually an impact crater from the aliens' crash-landing on Earth. Nick locates Tyler and frees him from his holding cell. The brothers uncover that the aliens are planning to take over Earth by polluting the atmosphere. Tyler then uses an alien explosive from the UFO to destroy the aliens and their pollution equipment and escape in the UFO. However, they do not succeed in destroying all of them and are chased by a surviving alien in a more powerful version of their UFO.After destroying the alien fighter and its pilot in a fast-paced dogfight, the UFO crashes at Nick's high school graduation. Nick then uses fixing the UFO as his science project and is allowed to graduate. Nick wins Julie over and they kiss, Tyler...