This is the 726th most frequent Czech word.
americkém
"Americkém" is the locative singular form of "americký," meaning "American" in English.
Here, 'americkém' is used as an adjective in the locative singular masculine form to describe 'univerzitě' (university), implying a location in the United States or influenced by American culture.
Studoval jsem na americkém univerzitě.
I studied at an American university.
In this instance, 'americkém' is an adjective in the locative singular masculine form modifying 'městě' (city), describing its American characteristics.
Film se odehrává v americkém městě.
The movie takes place in an American city.
Here, 'americkém' modifies 'problému' (issue) in the locative singular masculine form, characterizing the issue as pertaining to or originating from America.