Question: What song did the songwriter of Imagine by the Beatles write with David Bowie?

full_context: Document 1: Fame (David Bowie song): ``Fame ''is a song recorded by David Bowie, initially released in 1975. Written by Bowie, Carlos Alomar and John Lennon, it was a hit in North America, becoming Bowie's first number 1 single in the Canadian Singles Chart as well as the U.S. Billboard Hot 100. The song was one of the more successful singles of the year, ranking at number 7 on the Billboard Year - End Hot 100. It was less successful in Europe, reaching number 17 in the UK Singles Chart.
Document 2: God (John Lennon song): "God" is a song from John Lennon's first post-Beatles solo album, "John Lennon/Plastic Ono Band". The album was released on 11 December 1970 in the United States and the United Kingdom.
Document 3: All You Need Is Love: ``All You Need Is Love ''is a song by the English rock band the Beatles that was released as a non-album single in July 1967. It was written by John Lennon and credited to Lennon -- McCartney. The Beatles performed the song over a pre-recorded backing track as Britain's contribution to Our World, the first live global television link. Watched by over 400 million in 25 countries, the programme was broadcast via satellite on 25 June 1967. The song captured the utopian sentiments of the Summer of Love era and topped singles charts in Britain, the United States and many other countries.
Document 4: Imagine (1972 film): Imagine is a 1972 television film by John Lennon and Yoko Ono, filmed mostly at their Tittenhurst Park home in Ascot, England, during 1971, and intended for television. All the songs from Lennon's "Imagine" album appear in the soundtrack, and also the songs "Mrs. Lennon" and "Don't Count the Waves", from Ono's album "Fly".
Document 5: "Heroes" (David Bowie song): ``'Heroes' ''is a song recorded by the English musician David Bowie, written by Brian Eno and Bowie. Produced by Bowie and Tony Visconti, it was recorded in July and August 1977, and released on 23 September 1977. A product of Bowie's`` Berlin'' period, the track was not a huge hit in the United Kingdom or United States at the time, but has gone on to become one of Bowie's signature songs. In January 2016, following Bowie's death, the song reached a new peak of number 12 in the UK Singles Chart. ``'Heroes' ''has been cited as Bowie's second-most covered song after`` Rebel Rebel''.
Document 6: "Heroes" (David Bowie song): ``'Heroes' ''is a song recorded by the English musician David Bowie, written by Brian Eno and Bowie. Produced by Bowie and Tony Visconti, it was recorded in July and August 1977, and released on 23 September 1977. A product of Bowie's`` Berlin'' period, the track was not a huge hit in the UK or US at the time, but has gone on to become one of Bowie's signature songs. In January 2016, following Bowie's death, the song reached a new peak of number 12 in the UK Singles Chart. ``'Heroes' ''has been cited as Bowie's second-most covered song after`` Rebel Rebel''.
Document 7: Mr. Tambourine Man: The song has been performed and recorded by many artists, including the Byrds, Judy Collins, Melanie, Odetta, and Stevie Wonder among others. The Byrds version was released in April of 1965 as their first single on Columbia Records, reaching number 1 on both the "Billboard" Hot 100 chart and the UK Singles Chart, as well as being the title track of their debut album, "Mr. Tambourine Man." The Byrds' recording of the song was influential in popularizing the musical subgenres of folk rock and jangle pop, leading many contemporary bands to mimic its fusion of jangly guitars and intellectual lyrics in the wake of the single's success.
Document 8: Imagine (John Lennon album): Imagine is the second studio album by John Lennon after his departure from the Beatles. Recorded and released in 1971, the album's musical arrangements are more elaborate compared to the basic, small-group arrangements of his first album, "John Lennon/Plastic Ono Band".
Document 9: I'm Afraid of Americans: "I'm Afraid of Americans" is a single by David Bowie from the 1997 album "Earthling". The song, co-written by Bowie and Brian Eno, was originally written during Bowie's studio sessions for the 1995 album "Outside" but was not released until a rough mix appeared on the soundtrack to the film "Showgirls", and was subsequently remade for "Earthling". A top 20 hit in Canada, the rework also peaked at number 66 on the "Billboard" Hot 100 and spent 16 weeks on that chart. This was the final Bowie single which charted on the Hot 100 until "Blackstar" and "Lazarus" following his death.
Document 10: Imagine (John Lennon song): ``Imagine ''is a song written and performed by English musician John Lennon. The best - selling single of his solo career, its lyrics encourage the listener to imagine a world at peace without the barriers of borders or the divisions of religion and nationality and to consider the possibility that the whole of humanity would live unattached to material possessions.
Document 11: Jealous Guy: ``Jealous Guy ''is a song by English rock musician John Lennon from his 1971 album Imagine. Lennon began writing the song in 1968, when, as`` Child of Nature'', it was among the many songs demoed by the Beatles before they recorded their self - titled double album (also known as the ``White Album ''). The lyrics were originally inspired by a lecture given by Maharishi Mahesh Yogi in early 1968, when the Beatles attended his spiritual retreat in Rishikesh, India. In its rewritten form, the song serves as a confessional in which Lennon addresses the feelings of inadequacy that resulted in his failings as a lover and husband.
Document 12: Changes (David Bowie song): ``Changes ''Single by David Bowie from the album Hunky Dory B - side`` Andy Warhol'' Released 7 January 1972 Format 7 ''single Recorded Trident Studios, London, summer 1971 Genre Art pop, glam rock Length 3: 33 Label RCA Records 2160 Songwriter (s) David Bowie Producer (s) Ken Scott, David Bowie David Bowie singles chronology ``Moonage Daydream'' (1971)`` Changes ''(1972) ``Starman'' (1972)`` Moonage Daydream ''(Arnold Corns) (1971) ``Changes'' (1972)`` Starman ''(1972) Hunky Dory track listing ``Changes'' (1)`` Oh! You Pretty Things ''(2) Alternative cover Music video ``Changes'' (Live) on YouTube
Document 13: David Bowie: Dissatisfied with his stage name as Davy (and Davie) Jones, which in the mid-1960s invited confusion with Davy Jones of The Monkees, Bowie renamed himself after the 19th - century American pioneer James Bowie and the knife he had popularised. His April 1967 solo single, ``The Laughing Gnome '', using speeded - up thus high - pitched vocals, failed to chart. Released six weeks later, his album debut, David Bowie, an amalgam of pop, psychedelia, and music hall, met the same fate. It was his last release for two years.
Document 14: Fame (The Game): "Fame (The Game)" was the second official single from Donna Summer's 2008 studio album "Crayons". It reached #1 on the "Billboard" Hot Dance Club Play chart.
Document 15: Only People (song): "Only People" is a song written by John Lennon released on his 1973 album "Mind Games". The song is included on the 2010 album, "Gimme Some Truth". "Only People" revolves around Lennon's and Ono's personal philosophy. Lennon said that it failed as a song, saying that in an interview with Playboy Magazine that "It was a good lick, but I couldn't get the words to make sense."
ground_truth: ``Fame ''
sub_queries: who wrote the song imagine by the beatles Answer: John Lennon
what song did John Lennon write for david bowie Answer: ``Fame ''