This is the 2753rd most frequent Russian word.
казахстанский
"Kazakhstani" – relating to Kazakhstan or its people.
Here, 'казахстанский' is used as an adjective modifying the noun 'музыкант', specifying the nationality of the musician.
Казахстанский музыкант исполнил традиционную песню.
A Kazakhstani musician performed a traditional song.
In this sentence, 'казахстанскими' is the plural instrumental form of the adjective 'казахстанский', which describes the type of dishes featured in the restaurant.
Этот ресторан славится казахстанскими блюдами.
This restaurant is famous for Kazakhstani dishes.
The adjective 'казахстанские' characterizes the paintings as originating from Kazakhstan.