If something is impossible to put up with, you can say it is intolerable. It would be intolerable if your neighbors played their terrible, loud music all night long.
Intolerable, tolerable, tolerate, tolerant, and even extol all share the same Latin root word tolerare, which means to bear. Intolerable couples that with the prefix in-, which means not, giving the word its unbearable meaning. The Intolerable Acts, for example, were laws passed by the British Parliament in 1774. The American colonists found them unendurable, and they sparked support for the independence movement, which eventually led to the Declaration of Independence in 1776.