"Hey Bulldog" is a song by the Beatles which first appeared on the "Yellow Submarine" soundtrack album in 1969.
 Credited to Lennon–McCartney but written primarily by John Lennon, it was finished in the studio by Lennon and McCartney.
 The song was recorded during the filming of the "Lady Madonna" promotional video, and like "Lady Madonna", is one of the few Beatles' songs based on a piano riff.
 It had a working title of "You Can Talk to Me".
"Cool the Engines" is a song written by Tom Scholz, Brad Delp and Fran Sheehan that was originally released on Boston's 1986 album "Third Stage".
 In the US it was also released as a 12" promotional single backed with another song from "Third Stage", "The Launch," and as the B-side to the third commercially released single from the album, "Can'tcha Say (You Believe in Me)/Still in Love."
 It reached #4 on the "Billboard" Mainstream Rock chart.
 "Blllboard" also rated it as the #25 Top Rock Track of 1987.
 It was also included on Boston's 1997 compilation album "Greatest Hits".
"King's Lead Hat" is a song written by Brian Eno, released in 1977 as the fifth track from his album "Before and After Science".
 The title is an anagram of "Talking Heads".
 In 1978, a remixed version of the song was released as a single backed by "R.A.F.", a collaboration with Snatch.
"The Inner Light" is a song by the English rock group the Beatles, written by George Harrison.
 It was released on a non-album single in March 1968, as the B-side to "Lady Madonna".
 The song was the first Harrison composition to be issued on a Beatles single and reflects the band's embrace of Transcendental Meditation, which they were studying in India under Maharishi Mahesh Yogi at the time of the single's release.
 After "Love You To" and "Within You Without You", it was the last of Harrison's three songs from the Beatles era that demonstrate an overt Indian classical influence and are styled as Indian pieces.
 The lyrics are a rendering of a poem from the Taoist "Tao Te Ching", which he set to music on the recommendation of Juan Mascaró, a Sanskrit scholar who had translated the passage in his 1958 book "Lamps of Fire".
"Weight of the World" is a song performed by Ringo Starr, released on his 1992 album, "Time Takes Time".
 Written by Brian O'Doherty and Fred Velez, the song was released as a lead single backed with "After All These Years", and "Don't Be Cruel" (the latter was only on the CD single).
 The single reached 74 in the UK charts.
 It was released on 28 April 1992 in the US, and on 18 May in the UK.
"Real Good Looking Boy" is a song written by the guitarist of the British rock band The Who, Pete Townshend.
 It was originally released in 2004 on the compilation album "Then and Now", and was one of two new songs on that album, the other being "Old Red Wine".
 Together, they were the first new songs released by the Who for 15 years.
 It was later released as an edited single backed with the aforementioned song.
 "Real Good Looking Boy" was later performed in the 2007 rock musical "The Boy Who Heard Music".
"Lady Madonna" is a song by the Beatles, written by Paul McCartney and credited to Lennon–McCartney.
 In March 1968, it was released as a single, backed with "The Inner Light".
 The song was recorded on 3 and 6 February 1968 before the Beatles left for India.
 This single was the last release by the band on Parlophone in the United Kingdom, where it reached number 1 for the two weeks beginning 27 March, and Capitol Records in the United States, where it debuted at number 23 on the "Billboard" Hot 100 for the week ending 23 March and reached number 4 from the week ending 20 April through the week ending 4 May.
 All subsequent releases, starting with "Hey Jude" in August 1968, were released on their own label, Apple Records, under EMI distribution, until the late 1970s, when Capitol and Parlophone re-released old material.
"Are You the One?"
 is the second single released by Australian electronic dance music duo The Presets, from their debut studio album "Beams".
 The single backed with non-album tracks "Truth and Lies" and "Midnight Boundary", as well a remix of "Girl and the Sea" by Cut Copy was released on 24 October 2005.
 The song peaked at No. 68 on the ARIA singles charts.
"American Woman" is a song released by the Canadian rock band The Guess Who in November 1969, from their sixth studio album of the same name.
 It was later released in March 1970 as a single backed with "No Sugar Tonight", which reached number one on the "Billboard" Hot 100.
 "Billboard" magazine placed the single at number three on the Year-End Hot 100 singles of 1970 list.
 On May 22, 1970, the single was certified as gold by the RIAA.
"Youth in Trouble" is the first single released by Australian duo The Presets, from their third studio album "Pacifica".
 The single backed with a number of remixes, including a version by US producer Curtis Jones (aka Green Velvet) and British DJ Alex Metric.
 It was released as a digital download on 29 June 2012.
 The song peaked at No. 13 on the ARIA Club Tracks chart.

Question:  "Lady Madonna" was released as a single backed with a song that reflects what?
Answer: the band's embrace of Transcendental Meditation