Firstly I have this sentence with のと; the context being a girl helping a boy with a math problem that he got wrong. She is literally sitting next to him and says:
At first I thought this was just the の that nominalizes the preceding clause and the conditional と which would mean something like,
"Now, when this becomes a negative times a negative, watch out for the calculation order." However, it just felt weird to think of it like that because it just sounds generally odd and also I'm not sure what the point of having の there would be if it's a conditional. Anyhow, this lead me to wonder if this のと was working somewhat like から, denoting a cause/effect and is to mean "because" or "so"; making the sentence to mean,
"Now, this becomes a negative times a negative so watch out for the calculation order." I did find this answer on here, which gave me some confidence that I'm right but I'd like it if someone could confirm it.
Second, I have these sentences with the other two "issues"; the context here is that the speaker who is 先生, brings her students to her family's rice field for the day instead of class. The students look uninterested and then 先生 says:
I'm not quite sure what sort of nuance とこ adds to the meaning when 先生の田んぼ would already mean, "teacher's rice field". In addition, I'm having a little bit of trouble parsing this, and I'm not sure whether or not 別に is modifying めんどい. I thought it was at first glance (which made me wonder why it's not めんどくない) but, as I have been typing out this question I think I'm realizing that it's not. That being said, I did find this answer, and it seems to indicate that 別に implies a negative. But now, I'm just thinking 別に is only modifying お金がない. Even though I think I'm starting to actually see how this sentence works, if someone could break it down and show me how I should parse it, that would be great.
Also, my attempted translation for those sentences:
Today I'll have you help me with this rice field. Well, even if say, "this", it's Sensei's (my) rice field... Oh it's not what you think! It's not particularly that we don't have the money to hire a part timer or because it's troublesome for Sensei to help with the house, so it's not like I'm making (you) students work (because of that). I actually think this translation is pretty much correct (other than no translation for とこ), however I think I am getting to this conclusion based on an intuition of what makes sense in the context and the words used on a whole, rather than fully parsing and understanding (if that makes sense).