Answer:
Mary has a terrible toothache but doesn't want to go to the dentist -compound sentence
Although there was strong opposition, Allen Ginsberg’s poem "Howl" was published in 1956, and it’s considered one of the greatest contributions to modern literature - compound - complex sentence
The teacher took the students to the art museum - simple sentence
Because the weather was hot and humid, the children went to the river for a swim - complex sentence
I hope this helps