Question: When was the 8th season of the show premiered in which Samantha Jo "Mandy" Moore have appeared and  which is an American television reality program and dance competition airing on the Fox network?

Context paragraphs:
Live to Dance: Live to Dance is a United States television reality program and dance competition on the CBS network based on the British series "Got to Dance".  Dancers from all over the country auditioned for "Live to Dance" in "specially constructed Dance Domes".  Resembling the British dance competition series "Got to Dance", the show was first shown on January 4, 2011, and was headlined by the "American Idol" judge Paula Abdul as lead judge with Andrew Günsberg as host.  Judging alongside Abdul were Kimberly Wyatt, the former member of Pussycat Dolls, and Michael Jackson's long-time choreographer Travis Payne.  The show was intended to rival "So You Think You Can Dance" and unlike most other reality shows, allowed dancers of all ages to compete.  The series was not renewed for a second season.

So You Think You Can Dance (U.S. season 8): So You Think You Can Dance is an American television reality program and dance competition airing on the Fox network.  The show's eighth season premiered on May 26, 2011.  It features the return of Mary Murphy and Nigel Lythgoe as permanent judges and Cat Deeley as host.  Also returning is the selection of a Top 20 for the finals, in contrast to season 7's Top 11.  Contemporary dancer Melanie Moore won the season and Sasha Mallory was the runner-up.  This is the first season where both the winner and runner-up were female.  DialIdol covered only the last four weeks of this season.

So You Think You Can Dance (U.S. season 4): So You Think You Can Dance is a United States television reality program and dance competition airing on the Fox Broadcasting Company network.  Season four premiered on May 22, 2008, with Nigel Lythgoe and Mary Murphy returning as permanent judges and Cat Deeley returning to host.  Joshua Allen was announced as the winner on August 7, 2008, the first hip-hop dancer to win the title.

Mandy Moore (choreographer): Samantha Jo "Mandy" Moore (born March 28, 1976 in St. Louis, Missouri and raised in Breckenridge, Colorado) is an American choreographer who is well known for her work on "Dancing with the Stars" and on "So You Think You Can Dance", having appeared on seasons 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, , and 14.  Moore was nominated for Emmy Awards in 2008, 2011, 2013, 2014, and twice in 2017.  She won the Emmy Award for Outstanding Choreography in 2017 for "Dancing with the Stars" ("On Top of the World" and "Carol of the Bells" from Season 23).  She has also choreographed duet and group numbers for "So You Think You Can Dance United Kingdom", "Canada", "Ukraine", and "the Netherlands".

Dansefeber (season 2): Dansefeber is a Norwegian television reality program and dance competition airing on the TVNorge network.  The show is a version of the US original version "So You Think You Can Dance".  Season two premiered with Merete Lingjærde, Geir Bie and Vibeke Sørlie as permanent judges and Henriette Lien returning to host.  Contemporary dancer Hanna Mjåvatn was crowned Norway's Favourite Dancer and the top price of 500,000 norwegian kroner, as the first female dancer to win the competition in every version of the show.  Runner-up were hip-hop dancer Eric Nærbø, with jazz dancer Michelle Purvis finishing 3rd, and Latin ballroom dancer Bjørn Holthe finishing 4th.

So You Think You Can Dance (U.S. season 7): So You Think You Can Dance is a United States television reality program and dance competition airing on the Fox Broadcasting Company network.  Season seven premiered on May 27, 2010.  In the August 12 finale, contemporary/jazz dancer Lauren Froderman was named "America's Favorite Dancer" and received the grand prize of $250,000, as well as an appearance on the cover of "Dance Spirit" magazine and in print advertising for Gatorade.  Contemporary dancers Kent Boyd and Robert Roldan were named runner-up and third-place finisher, respectively.

The X Factor (Australian TV series): The X Factor is an Australian television reality music competition, based on the original UK series, to find new singing talent.  The first season of the show premiered on Network Ten on 6 February 2005.  Ten dropped "The X Factor" after the first season due to poor ratings.  In 2010, the Seven Network won the rights to the show, and a second season went into production.  "The X Factor" was renewed after the highly successful "Australian Idol" was no longer broadcast on Network Ten.  "The X Factor" was produced by FremantleMedia Australia, and was broadcast on the Seven Network in Australia and on TV3 in New Zealand.  The program was cancelled after its eighth season in 2016.

So You Think You Can Dance (U.S. season 6): So You Think You Can Dance, also known as SYTYCD, is a United States television reality program and dance competition airing on the Fox Broadcasting Company network.  Season six premiered on Wednesday, September 9, 2009, with Nigel Lythgoe and Mary Murphy returning as permanent judges and Cat Deeley returning to host.  Season six is the first to air during the fall season, immediately following the summer airing of season five.  Live shows began airing October 26 and the season finale aired on December 16.  Russell Ferguson, the first krumper to make it to the Las Vegas auditions, won the title of "America's Favorite Dancer" and the $250,000 prize.  Also in the finale were Jakob Karr in second place, Kathryn McCormick in third place, Ellenore Scott in fourth place, Ashleigh Di Lello in fifth place and Ryan Di Lello in sixth place.

So You Think You Can Dance (U.S. season 5): So You Think You Can Dance is a United States television reality program and dance competition airing on the Fox Broadcasting Company network.  Season five premiered on May 21, 2009, with Nigel Lythgoe and Mary Murphy returning as permanent judges and Cat Deeley returning to host.  Jeanine Mason was crowned America's Favorite Dancer on August 6, 2009, making her the second female to win the show.  For the first time, the show moved to a new stage, but it turned out to be the last season at CBS Studios.

So You Think You Can Dance (U.S. season 3): So You Think You Can Dance is an American television reality program and dance competition airing on the Fox network.  Season three premiered May 24, 2007.

Supporting paragraphs: Mandy Moore (choreographer) So You Think You Can Dance (U.S. season 8)
Answer: May 26, 2011