Hiya,
1. あなたにとって理想の住環境とはどんな環境ですか。
My translation: "What is your ideal living environment?"
I am somewhat familiar with this use of とは, but what actual change in meaning/nuance would occur if と was deleted?
2. 出られるレースは全部出場し、無駄な出費はできるだけ抑えました。
My translation: "I took part in all the races I could, and cut down on unnecessary expenses as much as possible."
Is this correct? Does 出られるレース literally mean "races that I was able to participate in"?
3. このユニットでは、足立さんが会社で上司にお願いしたり、先生から家庭教師を頼まれたりします。
I understand the first part OK, but I can't make sense of who is doing what to whom in 先生から家庭教師を頼まれたりします. I think this is one of the "passive verb with object" patterns that I asked about recently, but I still can't figure it out.
4. Person A has asked person B for a favour:
B: ダメだって~。他の人に頼んでよ~。悪いけど。
A: う~ん。わかった、ごめんね、変なこと頼んで。
My translation:
A: "It's impossible. You'll have to ask someone else. I'm sorry."
B: "Oh. I understand, I'm sorry I asked you (such) an odd thing."
a) Is this OK? What would be the most appropriate translation of 変な here?
b) I recognise ダメだ, but what is って adding in this case?
5. ・・・友達から電話があったらメッセージを聞いおいてもらう
Presumably this is a typo for 聞きおいてもらう?