Background: Joseph Frank "Buster" Keaton (October 4, 1895 - February 1, 1966) was an American actor, comedian, film director, producer, screenwriter, and stunt performer. He was best known for his silent films, in which his trademark was physical comedy with a consistently stoic, deadpan expression, earning him the nickname "The Great Stone Face". Critic Roger Ebert wrote of Keaton's "extraordinary period from 1920 to 1929, [when] he worked without interruption on a series of films that make him, arguably, the greatest actor-director in the history of the movies". His career declined afterward with a dispiriting loss of his artistic independence when he was hired by Metro-Goldwyn-Mayer and he descended into alcoholism, ruining his family life.
Context: Keaton signed with Metro-Goldwyn-Mayer in 1928, a business decision that he would later call the worst of his life. He realized too late that the studio system MGM represented would severely limit his creative input. For instance, the studio refused his request to make his early project, Spite Marriage, as a sound film and after the studio converted, he was obliged to adhere to dialogue-laden scripts. However, MGM did allow Keaton some creative participation on his last originally developed/written silent film The Cameraman, 1928, which was his first project under contract with them, but hired Edward Sedgwick as the official director.  Keaton was forced to use a stunt double during some of the more dangerous scenes, something he had never done in his heyday, as MGM wanted badly to protect its investment. "Stuntmen don't get laughs," Keaton had said. Some of his most financially successful films for the studio were during this period. MGM tried teaming the laconic Keaton with the rambunctious Jimmy Durante in a series of films, The Passionate Plumber, Speak Easily, and What! No Beer? The latter would be Keaton's last starring feature in his home country. The films proved popular. (Thirty years later, both Keaton and Durante had cameo roles in It's a Mad Mad Mad Mad World, albeit not in the same scenes.)  In the first Keaton pictures with sound, he and his fellow actors would shoot each scene three times: one in English, one in Spanish, and one in either French or German. The actors would phonetically memorize the foreign-language scripts a few lines at a time and shoot immediately after. This is discussed in the TCM documentary Buster Keaton: So Funny it Hurt, with Keaton complaining about having to shoot lousy films not just once, but three times.  Keaton was so demoralized during the production of 1933's What! No Beer? that MGM fired him after the filming was complete, despite the film being a resounding hit. In 1934, Keaton accepted an offer to make an independent film in Paris, Le Roi des Champs-Elysees. During this period, he made another film, in England, The Invader (released in the United States as An Old Spanish Custom in 1936).
Question: Was he in any of these films?
Answer: Thirty years later, both Keaton and Durante had cameo roles in It's a Mad Mad Mad Mad World,

Problem: Background: Augusta Ada King-Noel, Countess of Lovelace (nee Byron; 10 December 1815 - 27 November 1852) was an English mathematician and writer, chiefly known for her work on Charles Babbage's proposed mechanical general-purpose computer, the Analytical Engine. She was the first to recognise that the machine had applications beyond pure calculation, and published the first algorithm intended to be carried out by such a machine. As a result, she is sometimes regarded as the first to recognise the full potential of a "computing machine" and the first computer programmer. Ada Lovelace was the only legitimate child of the poet Lord Byron, and his wife Anne Isabella "Annabella" Milbanke, Lady Wentworth.
Context: Throughout her illnesses, she continued her education. Her mother's obsession with rooting out any of the insanity of which she accused Byron was one of the reasons that Ada was taught mathematics from an early age. She was privately schooled in mathematics and science by William Frend, William King, and Mary Somerville, the noted researcher and scientific author of the 19th century. One of her later tutors was the mathematician and logician Augustus De Morgan. From 1832, when she was seventeen, her mathematical abilities began to emerge, and her interest in mathematics dominated the majority of her adult life. In a letter to Lady Byron, De Morgan suggested that her daughter's skill in mathematics could lead her to become "an original mathematical investigator, perhaps of first-rate eminence".  Lovelace often questioned basic assumptions by integrating poetry and science. While studying differential calculus, she wrote to De Morgan:  I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar  Lovelace believed that intuition and imagination were critical to effectively applying mathematical and scientific concepts. She valued metaphysics as much as mathematics, viewing both as tools for exploring "the unseen worlds around us".
Question: What age was she when she began to show her mathematical abilities?
Answer:
From 1832, when she was seventeen,