57) They (not to know)what questions (to be going) to be discussed at that coming meeting.
62)if you (to be going) to take a bath after dinner I (to turn on) the hot water at once
63) she (not to play) her favourite part yet but of course she (to hope) that some day she will

Ответ:

57) They did not know (not know) what questions were going to be discussed at that coming meeting.

62) If you are going (be going) to take a bath after dinner, I will turn on (turn on) the hot water at once.

63) She has not played (not play) her favourite part yet, but of course she hopes (hope) that someday she will.