What's the Mandarin equivalent of 埋 in Cantonese?
http://www.cantonese.sheik.co.uk/dictionary/characters/946/
  
  埋
  
  /maai4 /  jyutping
  
  /mai2/ /man2/   pinyin
  
  [1] [v] bury; cover up; lay sth underground
  
  [2] [v] conceal; hide; lie low
  
  [3] [粵] [v] finish up; close out; settle (an account)
  
  [4] [粵] [v] move closer/nearer to; close in/up
  
  [5] [粵] [adv] closer together; nearer to
  
  [6] [粵] [adv] even; too; also; as well



In "記住帶埋手套", "埋" means "too"(see [6]) . In Mandarin, it is "也".
The sentence would become "記住也帶手套"
in "走之前要閂埋房門" , "埋" means "close in/up"(see [4]). In Mandarin, it is "上". The sentence would become "走之前要閂上房門"
"佢跟埋我哋一齊去", "埋" means "as well" (see [6]).  In Mandarin, it is "也". The sentence would become "他也跟我們一起去"


More examples:

When 埋 = finish up 


Cantonese: 做埋啲功課先可以去玩。
Mandarin: 做完那些功課才可以去玩。


When 埋 = closer together 


Cantonese: 你兩個企埋啲。
Mandarin: 你們兩個站近點。