Question: Are both Supergrass and Modest Mouse American rock bands?

Context paragraphs:
Sad Sappy Sucker: Sad Sappy Sucker is the name of a 2001 album release by alternative rock band Modest Mouse.  Originally slated to be Modest Mouse's debut album, "Sad Sappy Sucker" was shelved for several years until its eventual release in 2001, on the heels of the popularity of "The Moon & Antarctica".  Several songs were recorded at Olympia, Washington's Dub Narcotic Studios.  The record was officially released by K Records on April 24, 2001, available in both Compact Disc and vinyl LP, and containing nine additional tracks added to the original track listing of 15 songs.

Modest Mouse: Modest Mouse is an American rock band formed in 1992 in Issaquah, Washington (a suburb of Seattle), and currently based in Portland, Oregon.  The founding members are lead singer/guitarist Isaac Brock, drummer Jeremiah Green, and bassist Eric Judy.  Strongly influenced by groups Pavement, the Pixies, XTC, and Talking Heads, the band rehearsed, rearranged, and recorded demos for almost two years before finally signing with small-town indie label, K Records, and releasing numerous singles.  Since the band's 1996 debut album, "This Is a Long Drive for Someone with Nothing to Think About", the group's lineup has centered on Brock and Green.  Judy performed on every Modest Mouse album until his departure in 2012.  Guitarist Johnny Marr (formerly of the Smiths) joined the band in 2006, shortly following percussionist Joe Plummer (formerly of the Black Heart Procession) and multi-instrumentalist Tom Peloso, to work on the album "We Were Dead Before the Ship Even Sank".  Guitarist Jim Fairchild joined the band in 2009.  The band's sixth album, "Strangers to Ourselves", was released on March 17, 2015.

Tom Peloso: Tom Peloso is an American musician who was born February 25, 1967 in Waynesboro, Virginia.  He is a current active member of the indie rock band Modest Mouse.  Peloso has played with Modest Mouse since their 2004 album, "Good News for People Who Love Bad News", including their latest release, "Strangers to Ourselves".  He also plays in his own band, Tom Peloso and The Virginia Sheiks.

Never Ending Math Equation: "Never Ending Math Equation" is a two sided single by indie rock band Modest Mouse.  On its B-side it features "Workin' on Leavin' the Livin'", and both of which later appeared on their "Building Nothing Out of Something" compilation album.  The 7" was originally released as part of the Sub Pop singles club.  Since that release, the featured song "Never Ending Math Equation" has received some mainstream success and as a result of such, Modest Mouse have frequently played the song at their live performances.  On the inside of the sleeve there is information about the second run of the Sub Pop singles club and a subscription form from 1998.

Baron von Bullshit Rides Again: Baron von Bulls*** Rides Again is a live bootleg album by indie rock band Modest Mouse, the first live CD unofficially, and later officially released by the group.  The live performance was recorded by Modest Mouse, but was not officially released by the band.  Instead, only a small number of individuals could obtain a copy at the time by purchasing the album exclusively at Park Avenue CDs in Orlando.  Later that year, the album was made available on the Internet.  It was released on April 13, 2004, one week after the studio album "Good News for People Who Love Bad News" was in stores.  Currently, this disc is out-of-print.  The album was recorded at The Social in Orlando, Florida during a string of shows between February 13–15, 2004.

Supergrass: Supergrass were an English rock band, formed in 1993 in Oxford.  The band consisted of brothers Gaz (guitar and lead vocals) and Rob Coombes (keyboards and backing vocals), Mick Quinn (bass and backing vocals) and Danny Goffey (drums and backing vocals).

Good News for People Who Love Bad News: Good News for People Who Love Bad News is the fourth full-length album recorded by alternative rock band Modest Mouse.  Jeremiah Green, who played drums on all other Modest Mouse releases, did not perform on this album due to his temporary absence from the band.

Sharpen Your Teeth: Sharpen Your Teeth is an album by the indie rock band Ugly Casanova.  Brainchild of Modest Mouse lead singer Isaac Brock, Ugly Casanova was his attempt to try new methods and genres outside the realms of Modest Mouse.  The album sees Brock performing on more instruments and using a more stripped down method of recording.  The story given is that an eccentric character named Edgar Graham met with Modest Mouse while on tour.  During their time together, Graham and the band recorded a few songs together, and Graham completely disappeared.  In an attempt to get Graham to resurface, Brock took the recordings to Sub Pop Records, redid them in the studio, and had them released as Sharpen Your Teeth.  A follow-up is highly unlikely due to contractual obligations Brock has with Modest Mouse's label Epic Records.  It has since been revealed that Brock fabricated the story himself, using Ugly Casanova as a method of writing music whilst not being recognized instantly as Modest Mouse.

Ben Massarella: Ben Massarella is a percussionist and drummer best known for his work with the American rock bands Modest Mouse, Califone and Red Red Meat.  Massarella currently resides in The Vale of Paradise.

Brand New/Modest Mouse Tour: The Brand New/Modest Mouse Tour was a United States concert tour by American alternative rock bands Brand New and Modest Mouse.  The tour lasted from June 2017 to July 2017.

Supporting paragraphs: Supergrass Modest Mouse
Answer: no