TASK DEFINITION: In this task, you will be shown an extract from a movie plot. You need to read the extract and create questions that can be answered from the extract. The questions should be well-formed and grammatically correct. The questions should be completely answerable from the given passage and should not require any external knowledge. Subjective questions are not allowed. Create questions that result in factoid answers. A simple rule of thumb to decide whether a question is factoid or not is to see if two different people with average reading/comprehension skills would come up with the same answer after reading the passage.
PROBLEM: 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 in his final years.At the funeral, Catherine expresses her frustration with the many people there. She interrupts the string quartet with an impromptu speech, berating everyone for not being there for her father while he was alive. She describes his descent into insanity, and that at one time he would borrow piles of books believing that aliens were sending him messages encoded in their Dewey Decimal codes. She ends by saying she's glad her father is dead and walks out of the church mid-funeral.Claire decides to sell Robert's house back to the university and wants Catherine to come with her to New York; Catherine is upset that she will be forced to leave the house. It becomes evident that Claire suspects that Catherine may be struggling with mental illnesses, as their father had. A wake held at the house the night after the funeral, is attended by many academic mathematicians. Hal appears and chats up Catherine. Softening up to Hal, Catherine sleeps with him. Afterwards, she gives the student a key to her father's desk.In flashbacks, Robert is shown suddenly invigorated, believing he has seen the beginnings of a new mathematical proof that will prove his triumph over mental illness.In the present, Hal finds a notebook in Robert's desk, which itself contains a lengthy but apparently very important proof. He is very excited and shows the discovery to Catherine and Claire. He asks Catherine how long she knew about this and why she did not tell him about it. She tells him that she wrote it. Catherine claims the work is hers and not her father's despite evidence to the contrary. Neither Hal nor Claire believe Catherine. Hal believes the mathematics of the proof are beyond Catherine, while Claire simply suspects that Catherine is suffering the onset of mental illness. Catherine can't describe the proof without the notebook because it "is not a muffin recipe". Hal decides to take it to the math department the next day to verify the proof's accuracy.He returns as Claire and Catherine are leaving, with news that the math department believes the proof to be valid. Hal tells Claire that he doesn't think that her father wrote the proof because it employs newer mathematics and wants Catherine to explain it to him sometime. Catherine remains stung by his earlier lack of trust, and the sisters leave for the airport; but, Hal sprints after the car and throws the book through the window and onto Catherine's lap.At the airport, Catherine has another flashback. It is revealed that, while living together, her father challenged her to work on math, which she does, ultimately completing a proof, which she describes in one of the many notebooks in the house. Catherine goes to tell her father about the breakthrough, but he insists she read aloud the proof that he is working on. To Catherine's disappointment, Robert's notebook contains not a proof, but a rambling and desperate observation of the passage of the seasons, that the year is divided into months of cold, months of warmth and months of indeterminate temperature, that the future of heat is the future of cold, that the future of cold is infinite, and that he will never be as cold as he will be in the future. Reading her father's work, Catherine realizes that Robert has not overcome his mental illness. A dispirited Catherine leaves her notebook in Robert's desk, where Hal will later find it.Catherine has begun to come to terms with herself, aided by Hal's confidence in her. She decides that she does not need to go with her sister to New York and runs out of the airport. She returns to University of Chicago, and the film ends with her and Hal meeting up on campus and discussing the proof.

SOLUTION: What was Robert ?

PROBLEM: Arye Gross plays an up-and-coming artist who foregoes the convenience of big-city life for the charms of Montana in this drama, writer-director Thomas Bezucha's debut feature. On the eve of his first show at the Whitney Museum, Henry (Gross) hears news that his grandfather back home has had a stroke. Upon returning to his idyllic birthplace, however, Henry realizes that the old man isn't the only thing he has to tend to: There's the semi-closeted issue of his sexuality, which he longs to reveal to his clan -- as well as to his old high-school crush, Dean (Tim DeKay). Amidst all the angst, Henry fails to notice the advances of the sensitive Pike (Eric Schweig), an espresso-brewing outdoorsman who owns the town's general store and cooks meals for the stroke-addled grandpa Sam (George Coe).

SOLUTION: Where is Henry's first art show being held?

PROBLEM: 1900: Having had enough of living with her late husband's mother and maiden aunt, young widow Lucy Muir decides to move with her young daughter Anna to a place of her own by the sea. Her eye falls on the picturesque coastal village of Whitecliff where she finds a unique house Gull Cottage. The leasing agent tries his hardest to dissuade Lucy from taking the cottage, telling her that all the previous tenants have moved out just as quickly as they moved in. Lucy soon discovers the reason for the landlord's warnings when she sees windows and doors open on their own, candles blown out and hears disembodied laughter. Unlike the previous tenants, strong-willed Lucy refuses to be scared off by the hauntings and demands that the ghost reveal himself. He appears and Lucy recognises him immediately as Captain Daniel Gregg, the cottage's previous owner whose portrait hangs above the mantelpiece. The ghost agrees to restrict himself to the master bedroom if Lucy will move his portrait into the room and Lucy agrees including sharing the room. Initially hostile towards one another, Lucy and the Captain develop a mutual respect that quickly becomes admiration. When Lucy eventually finds herself in financial difficulties, in order to raise money the Captain (or Daniel as he asks her to call him) suggests they publish a memoir of his life. While writing the book, Daniel dictates and Lucy objects to the language and phraseology and through the banter they become closer. When the book is finally finished and ready to be published, Lucy realises she's fallen in love with Daniel, and he with her. Both know that the situation is hopeless, and Daniel tells her that he wants her to experience life including meeting real men. Lucy reluctantly agrees, and while visiting a publisher in London, Lucy meets the smooth-talking Miles Fairlie, an author of children's books. Miles takes a fancy to the attractive widow, assists her and tries to court her. Daniel is not at all happy at Lucy's choice and tries to warn her off but Lucy is enchanted by Miles and thinks Daniel is just being jealous. When Lucy ultimately declares her intention to marry Miles, Daniel decides to disappear from Lucy's life permanently. While Lucy is asleep, Daniel bids her a touching farewell and tells her that when she wakes up she will remember him only as a dream. Shortly afterwards, Lucy is devastated to discover that Miles is already married with a family and was just stringing her along and she was not the first.The years pass, and Lucy continues to live at Gull Cottage with no memory of Daniel until one day Anna, who is now grown up and engaged, mentions that as a little girl she used to regularly spend time with the ghost of Captain Gregg. This jogs something in Lucy's memory when she realizes they both had the same experience so it wasn't just her own dreams. For the next thirty years Lucy resides in Gull Cottage while Anna grows up and has children of her own. One night Lucy tells her maid that she is feeling unwell, drops her night time drink and falls unconscious in her armchair. Daniel appears, takes her hands and tells her that she'll never be tired again and lifts her out of the chair. Lucy, young again, takes Daniel's arm and the two ghosts walk out into the night, together at last.

SOLUTION:
Who does Lucy decide to marry?