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Could anybody check the sentences below for me?

Teacher: Pass up your homework please!

Lucus: Sorry! I forgot/forget doing it last night.

Teacher: Don't forget to do it next time.

Is it the same to use forget and forgot in this sentence?

Victory: Have you brought along my book!

Lucus: Oh! I forget/forgot bringing it!

Is it the same to use forget or forgot in this sentence?

Lucus: Sorry! I forget/forgot bringing along the software.

Is it the same to use forget or forget in this sentence?

Lucus: I always forget to call my parents.

Lucus: Honey! Don't forget to give me a call when you arrive.

Many thanks in advance.
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Only these are correct:

Teacher: Pass up your homework please!
Lucus: Sorry! I forgot to do it last night.
Teacher: Don't forget to do it next time.

Victory: Have you brought along my book!
Lucus: Oh! I forgot to bring it!

Lucus: Sorry! I forgot to bring along the software.

Lucus: I always forget to call my parents.

Lucus: Honey! Don't forget to give me a call when you arrive.
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I forgot to call you. -- I didn't call you because I didn't remember that I was supposed to call you.
I forgot [calling you / having called you]. -- I did call you, but I don't remember that I did. I forgot that I had called you.

I forgot to buy the tickets. -- I didn't buy the tickets because I didn't remember that I was supposed to buy them.
I forgot [buying / having bought] the tickets. -- I bought the tickets, but I don't remember that I did. I forgot that I had bought the tickets.

Instead of saying I forgot [calling you / buying the tickets], I usually say I don't remember [calling you / buying the tickets]. A bit more formally, you can also say, I don't remember having [called you / bought the tickets].

CJ
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Comments  
Thank you very much for your helping!

However, I still get a question.

Is it possible for forget or forgot be followed by Ving?

This a sentence I found in an authoritative English reference book.

Li Yang Forgot seeing me before.

Could you help me with it?

Many thanks in advance.
 CalifJim's reply was promoted to an answer.
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