She always thought him to be( to be инфинитив) right.
Thought him to be -сложное дополнение
I could never understand what made her do (do-bare infinitive-«голый» инфинитив без частицы to )that.
Made her do-сложное дополнение
The parents expected the teacher to improve( to improve-инфинитив) the child's speech.
Expected the teacher to improve-сложное дополнение
We expect this statement to be ( to be-инфинитив) true.
Expect this statement to be-сложное дополнение