brackets.js

/*
Usage :

node brackets.js 
((a+b*d)*(x/2))*(1+(y+(x-2)/10))
[ '(a+b*d)',
  '(x/2)',
  '((a+b*d)*(x/2))',
  '(x-2)',
  '(y+(x-2)/10)',
  '(1+(y+(x-2)/10))' ]
*/

let s = "((a+b*d)*(x/2))*(1+(y+(x-2)/10))"
let opening_bracket_pos = []
let stack = []

for (let i = 0;i < s.length; i++)
{
	if (s[i] == '(')
	{
		opening_bracket_pos.push(i)
	}
	else if (s[i] == ')')
	{
		start_pos = opening_bracket_pos.pop()
		stack.push(s.substring(start_pos, i + 1))
	}
}

console.log(s);
console.log(stack);