Kazakh vs Kazak language

Kazakh and Kazak language both are nouns.

Word	Noun	Adjective	Verb	Adverb
Kazakh	Yes	No	No	No
Kazak language	Yes	No	No	No

As nouns, Kazakh and Kazak language are synonyms defined as:

Other synonyms of Kazakh include Kazak, Kazakh language.

Kazakh (noun)	Kazak language (noun)
the Turkic language spoken by the Kazak	the Turkic language spoken by the Kazak
a landlocked republic to the south of Russia and to the northeast of the Caspian Sea; the original Turkic-speaking inhabitants were overrun by Mongols in the 13th century; an Asian soviet from 1936 to 1991
a Muslim who is a member of a Turkic people of western Asia (especially in Kazakstan)