Should I use most simple or simplest to indicate something cannot be more simple? Can I use both? Is one prefered? If simplest - how is that pronounced? (Is the e silent?)
As I understand it, Past Simple (the second sentence) is possible here only as the simplest version of Present Perfect (the third sentence), isn't it? But why is Present Perfect more common here than Present Simple?
'From' and 'to' can be used with quite a range of words, normally describing some sort of scale (one extreme to another for example). Consider 'from left to right' or 'from front to back'. Similarly to your example, 'from easy to hard' is also fine. So yes, 'from simple to complex' is correct.
Yes, the sentence is much more fluent without the about. The simplest answer is "because that's not how we generally speak in English"; you can see how much more common explain this is than explain about this is. It is not impossible to use explain with about, but explain usually takes a direct object, which is the thing that you are explaining. "explain about X" carries a sense of "to speak ...
The simplest variant that is grammatical is My mom is always the first. I'm guessing that your use of be is intended to convey her determination to be the first. The most idiomatic way of saying that is My mom always has to be the first. There is no form of be that clearly expresses habitual behaviour.
I'll explain this more below, but first, here are some examples of the first and simplest case: It was huge for him to score this win. (he is not huge) It was dangerous for him to climb up there. (he is not dangerous) The second case is somewhat more complex. Sometimes we use for you to emphasize the circumstances of the person in question.
Are there any shades of meaning between the use of the past continuous, present simple and past simple in the following sentences? He was saying that he is going to leave soon. He says that ...
This is probably what you want and is the simplest form. 2 I was trying to run the computer program, but it didn't work. The implication here is that you tried running it over a period of time (maybe you made several attempts) and then stopped, or you tried and you were interrupted (you tried and it crashed).