Parentheses, braces, and brackets

When I was in high school I had hard times with using parentheses, braces, and brackets to group formulas. Sometimes I used only parentheses even a group within parentheses. In Japanese there is a word to categorize these symbols of grouping, I was a little bit confused that there seemed to be no such word to categorize them. Maybe my confusion come simply from I haven't properly make clear distinctions of these symbols, especially when I'm taking notes.

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