#!/usr/bin/env python3
from decimal import Decimal
import re
import sys

bracket_pattern = re.compile(r"(.+)\(([^\(\)]+)\)(.+)")

def decimalise(token):
    try:
        return Decimal(token)
    except:
        return token

def add_subtract(tokens):
    assert "*" not in tokens and "/" not in tokens
    while len(tokens) > 1:
        operand_one, operator, operand_two, tail = (tokens[0], tokens[1],
                                                    tokens[2], tokens[3:])
        if operator == "+":
            tokens = [operand_one + operand_two] + tail
        elif operator == "-":
            tokens = [operand_one - operand_two] + tail
        else:
            raise RuntimeError("oh no")
    return tokens[0]

def multiply_divide(tokens):
    while "*" in tokens or "/" in tokens:
        for i in range(len(tokens)):
            if tokens[i] == "*" or tokens[i] == "/":
                head, operand_one, operand_two, tail = (tokens[:max(i-1, 0)],
                                                        tokens[i-1],
                                                        tokens[i+1],
                                                        tokens[i+2:])
                if tokens[i] == "*":
                    tokens = head + [operand_one * operand_two] + tail
                elif tokens[i] == "/":
                    tokens = head + [operand_one // operand_two] + tail
                else:
                    raise RuntimeError("oh no 2")
                break
    return tokens

def evaluate_str(string):
    match = re.search(bracket_pattern, string)
    while match is not None:
        string = (match.group(1) + " "
                  + str(evaluate_str(match.group(2)))
                  + " " + match.group(3))
        match = re.search(bracket_pattern, string)
    tokens = list(map(decimalise, string.split(" ")))
    tokens = [token for token in tokens if token != "" and token != " "]
    tokens = multiply_divide(tokens)
    return add_subtract(tokens)

try:
    path = sys.argv[1]
except IndexError:
    path = "itsnewmath.txt"

with open(path) as f:
    lines = f.readlines()
for line in lines:
    expr1, expr2 = line.strip().split(" = ")
    try:
        if evaluate_str(expr1) == evaluate_str(expr2):
            answer = "True:   "
        else:
            answer = "False:  "
    except:
        answer = "Error:  "
    print("{0}{1}".format(answer, line.strip()))