Question: The Stewart Indian School opened in 1890 with 37 students from Washoe and Shoshone tribes as well as what three closely related groups of indigenous peoples of the Great Basin?

Context paragraphs:
Western Shoshone: The Western Shoshone comprise several Shoshone tribes that are indigenous to the Great Basin and have lands identified in the Treaty of Ruby Valley 1863.  They resided in Idaho, Nevada, California, and Utah.  The tribes are very closely related culturally to the Paiute, Goshute, Bannock, Ute, and Timbisha tribes.

History of Salt Lake City: Originally, the Salt Lake Valley was inhabited by the Shoshone, Paiute, Goshute and Ute Native American tribes.  At the time of the founding of Salt Lake City the valley was within the territory of the Northwestern Shoshone, who had their seasonal camps along streams within the valley and in adjacent valleys.  One of the local Shoshone tribes, the Western Goshute tribe, referred to the Great Salt Lake as "Pi'a-pa", meaning "big water", or "Ti'tsa-pa", meaning "bad water".  The land was treated by the United States as public domain; no aboriginal title by the Northwestern Shoshone was ever recognized by the United States or extinguished by treaty with the United States.  Father Silvestre Vélez de Escalante, a Spanish Franciscan missionary is considered the first European explorer in the area in 1776, but only came as far north as Utah valley (Provo), some 60 miles south of the Salt Lake City area.  The first US visitor to see the Salt Lake area was John Chugg in 1824.  U.S. Army officer John C. Frémont surveyed the Great Salt Lake and the Salt Lake Valley in 1843 and 1845.  The Donner Party, a group of ill-fated pioneers, traveled through the Great Salt Lake Valley a year before the Mormon pioneers.  This group had spent weeks traversing difficult terrain and brush, cutting a road through the Wasatch Mountains, coming through Emigration canyon into the Salt Lake Valley on August 12, 1846.  This same path would be used by the vanguard company of Mormon pioneers, and for many years after that by those following them to Salt Lake.

Native American languages of Utah: Utah, a state in the western United States that straddles the intersection of the Colorado Plateau, the Great Basin, and the Rocky Mountains, has been the traditional home of several Uto-Aztecan bands from a few tribes that are considered Paiute and Shoshone.  The Shoshone in Utah belong to the Goshute and Northern Shoshone linguistic group, while the various Paiute peoples either belong to the Ute or Southern Paiute linguistic classifications.  As such, in total, there are two Native American languages spoken in Utah: Shoshone and Colorado River Numic.

Indigenous peoples: Indigenous peoples, also known as first peoples, aboriginal peoples, native peoples, or autochthonous peoples, are ethnic groups who are descended from and identify with the original inhabitants of a given region, in contrast to groups that have settled, occupied or colonized the area more recently.  Groups are usually described as indigenous when they maintain traditions or other aspects of an early culture that is associated with a given region.  Not all indigenous peoples share this characteristic, sometimes having adopted substantial elements of a colonising culture, such as dress, religion or language.  Indigenous peoples may be settled in a given locale/region or exhibit a nomadic lifestyle across a large territory, but they are generally historically associated with a specific territory on which they depend.  Indigenous societies are found in every inhabited climate zone and continent of the world.

Paiute: Paiute ( ; also Piute) refers to three closely related groups of indigenous peoples of the Great Basin:

List of extinct indigenous peoples of Brazil: At the time of the discovery of Brazil by the Europeans, a total of 2,000 indigenous nations, divided into several thousands of tribes existed in Brazil.  The total number of native tribes which inhabited the present day Brazil at the time of first contact is disputed, as well as difficult to ascertain.  The names of large number of tribes who were exterminated as a result of intertribal warfare is not recorded anywhere and so is the case of several smaller tribes who were wiped out by the colonizers.  Curt Nimuendajú gives a list of 1,400 nations in his monumental work Mapa etno-histórico do Brasil e regiões adjacentes, but he ignored many smaller (extinct) tribes in Eastern Brazil, and was unaware of some other tribes which were uncontacted at that time.  Currently only 200 nations (790 tribes) are alive, with no survivors being reported for the remaining nations.  However this doesn't mean all their bloodlines are extinct only their cultures.  Brazilian Pardo and Mestizo population have mostly unknown indigenous backgrounds.  Which can and probably have many of this indigenous peoples as ancestors.  The Bandeirantes once hunted and enslaved indigenous peoples in the then unknown interior of Brazil from the 16th to the early 19th century.  The indigenous peoples were eventually aculturated and integrated into European civilization.

Stewart Indian School: The Stewart Indian School (1890-1980) was an Indian school southeast of Carson City, NV.  The school was a part of the Native American boarding schools project, infamous for removing children from their families, forbidding the speaking of native languages, sexual abuse, and other forms of harsh treatment.  The school was named for Nevada's first senator, William M. Stewart and opened on December 17, 1890.  It has also been known as Stewart Institute, Carson Industrial School, and Carson Indian School.  The school opened with 37 students from Washoe, Paiute and Shoshone tribes and was staffed by 3 teachers.  Students were taught basic educational classes but focused on vocational skills such as agriculture, ranching and carpentry.

Indigenous peoples of the Great Basin: The Indigenous Peoples of the Great Basin are Native Americans of the northern Great Basin, Snake River Plain, and upper Colorado River basin.  The "Great Basin" is a cultural classification of indigenous peoples of the Americas and a cultural region located between the Rocky Mountains and the Sierra Nevada, in what is now Nevada, and parts of Oregon, California, Idaho, Wyoming, and Utah.  There is very little precipitation in the Great Basin area which affects the lifestyles and cultures of the inhabitants.

Indigenous peoples of California: The Indigenous peoples of California (known as Native Californians) are the indigenous inhabitants who have lived or currently live in the geographic area within the current boundaries of California before and after the arrival of Europeans.  With over forty groups seeking to be federally recognized tribes, California has the second largest Native American population in the United States.  The California cultural area does not conform exactly to the state of California's boundaries.  Many tribes on the eastern border with Nevada are classified as Great Basin tribes, and some tribes on the Oregon border are classified as Plateau tribes.  Tribes in Baja California who do not cross into California are classified as Indigenous peoples of Mexico.

Fort McDermitt Paiute and Shoshone Tribe: The Fort McDermitt Paiute and Shoshone Tribe is a federally recognized tribe of Northern Paiute and Western Shoshone peoples, whose reservation Fort McDermitt Paiute and Shoshone Tribes of the Fort McDermitt Indian Reservation spans the Nevada and Oregon border next to Idaho.  The reservation has 16,354 acres in Nevada and 19,000 acres in Oregon.

Supporting paragraphs: Stewart Indian School Paiute
Answer: Paiute