Your task is to define a function that understands basic mathematical expressions and solves them.
For example:

```python
calculate("1 + 1")        # => 2
calculate("18 + 4*6")     # => 42
calculate("245 - 826")    # => -581
calculate("09 + 000482")  # => 491
calculate("8 / 4 + 6")    # => 8
calculate("5 + 1 / 5")    # => 5.2
calculate("1+2+3")        # => 6
calculate("9 /3 + 12/ 6") # => 5
```
Notes:

- Input string will contain numbers (may be integers and floats) and arithmetic operations.
- Input string may contain spaces, and all space characters should be ignored.
- Operations that will be used: addition (+), subtraction (-), multiplication (*), and division (/)
- Operations must be done in the order of operations: First multiplication and division, then addition and subtraction.
- In this kata, input expression will not have negative numbers. (ex: "-4 + 5")
- If output is an integer, return as integer. Else return as float.
- If input string is empty, contains letters, has a wrong syntax, contains division by zero or is not a string, return False.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import functools as ft\nimport math\n\nops = [\'*\', \'/\', \'+\', \'-\']\n\n\ndef SanitizeExpression(expression):\n    return expression.replace("+-", "-").replace("-+", "-").replace("--", "+")\n    pass\n\n\ndef ExtendList(arr, value, op):\n    arr.extend(value.split(op))\n    return arr\n\n\ndef LastIndexOfAny(expression, operators, startIndex):\n    arr = [expression[0:startIndex].rfind(x) for x in operators]\n    arr.sort()\n    return arr[-1]\n    pass\n\n\ndef IndexOfAny(expression, operators, startIndex):\n    arr = [x + startIndex for x in [expression[startIndex:].find(x) for x in operators] if x != -1]\n    if len(arr) == 0:\n        arr = [-1]\n    arr.sort()\n    return arr[0]\n    pass\n\n\ndef FloatToString(value):\n    return "%.30f" % value\n    pass\n\n\ndef EvaluateSimpleExpression(expression):\n    numberText = expression.split(ops[0])\n    numberText = ft.reduce(lambda r, s: ExtendList(r, s, ops[2]), numberText, [])\n    numberText = ft.reduce(lambda r, s: ExtendList(r, s, ops[3]), numberText, [])\n    numberText = ft.reduce(lambda r, s: ExtendList(r, s, ops[1]), numberText, [])\n\n    numbers = [float(x) for x in numberText if x != \'\']\n\n    minusCount = expression.count(\'-\')\n\n    if expression.count(\'*\') > 0:\n        return numbers[0] * numbers[1] * math.pow(-1, minusCount)\n\n    if expression.count(\'/\') > 0:\n        return numbers[0] / numbers[1] * math.pow(-1, minusCount)\n\n    if expression.count(\'-\') > 0:\n        return numbers[0] - numbers[1]\n\n    return numbers[0] + numbers[1]\n    pass\n\n\ndef ResolveSimpleExpression(expression, operatorIndex):\n    startIndex = LastIndexOfAny(expression, ops, operatorIndex - 1) + 1\n    indexNext = IndexOfAny(expression, ops, operatorIndex + 2)\n\n    if indexNext == -1:\n        length = len(expression)\n    else:\n        length = indexNext\n\n    length -= startIndex\n\n    return expression[startIndex:startIndex + length]\n    pass\n\n\ndef EvaluateSimpleInComplexExpression(expression, operatorIndex):\n    simple = ResolveSimpleExpression(expression, operatorIndex)\n    simpleAns = EvaluateSimpleExpression(simple)\n    if math.fabs(simpleAns) < 1e-10:\n        simpleAns = 0\n        pass\n\n    insertIndex = expression.find(simple)\n\n    return expression[0:insertIndex] + FloatToString(simpleAns) + expression[insertIndex + len(simple):]\n    pass\n\n\ndef SimplifyExpressionByOperatorsRec(expression, applyNegative, multiplier, operators):\n    if expression[0] == \'+\':\n        expression = expression[1:]\n\n    if applyNegative and expression[0] == \'-\':\n        multiplier *= -1\n        expression = expression[1:].replace("+", "X").replace("-", "+").replace("X", "-")\n        pass\n\n    indexArr = [x for x in [expression.find(op) for op in operators] if x > 0]\n    if len(indexArr) > 0:\n        indexArr.sort()\n        index = indexArr[0]\n\n        expression = EvaluateSimpleInComplexExpression(expression, index)\n        expression = SanitizeExpression(expression)\n\n        return SimplifyExpressionByOperatorsRec(expression, applyNegative, multiplier, operators)\n        pass\n\n    try:\n        return FloatToString(float(expression) * multiplier)\n    except:\n        return expression\n    pass\n\n\ndef SimplifyExpressionByOperators(expression, applyNegative, operators):\n    return SimplifyExpressionByOperatorsRec(expression, applyNegative, 1, operators)\n\n\ndef EvaluateComplexExpression(expression):\n    result = SimplifyExpressionByOperators(expression, False, [\'*\', \'/\'])\n\n    return SimplifyExpressionByOperators(result, True, [\'+\', \'-\'])\n    pass\n\n\ndef EvaluateBracketExpression(expression):\n    closeIndex = expression.find(\')\')\n    if closeIndex >= 0:\n        openIndex = expression[0:closeIndex].rfind(\'(\')\n        startIndex = openIndex + 1\n        length = closeIndex - startIndex\n\n        complexExp = expression[startIndex:closeIndex]\n        resolved = EvaluateComplexExpression(complexExp)\n\n        expression = expression[0:openIndex] + str(resolved) + expression[openIndex + length + 2:]\n        expression = SanitizeExpression(expression)\n\n        return EvaluateBracketExpression(expression)\n        pass\n\n    return EvaluateComplexExpression(expression)\n    pass\n\n\ndef calculate(expression):    \n    try:\n        test = \'string\' + expression\n    except:\n        return False\n    \n    expression = str(expression).replace(" ", "")        \n    if expression == \'\':\n        return 0\n    \n    expression = SanitizeExpression(expression)\n\n    try:\n        return float(EvaluateBracketExpression(expression))\n    except:\n        return False\n    pass\n\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'calculate'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 10570