<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def _process_equation(value, fmt):
 """Processes the equation. Returns a dict containing eq properties."""


    # pylint: disable=global-statement
    global Nreferences  # Global references counter
    global cursec       # Current section

    # Parse the equation
    attrs = value[0]

    # Initialize the return value
    eq = {'is_unnumbered': False,
          'is_unreferenceable': False,
          'is_tagged': False,
          'attrs': attrs}

    # Bail out if the label does not conform
    if not LABEL_PATTERN.match(attrs[0]):
        eq['is_unnumbered'] = True
        eq['is_unreferenceable'] = True
        return eq

    # Process unreferenceable equations
    if attrs[0] == 'eq:': # Make up a unique description
        attrs[0] = attrs[0] + str(uuid.uuid4())
        eq['is_unreferenceable'] = True
        unreferenceable.append(attrs[0])

    # For html, hard-code in the section numbers as tags
    kvs = PandocAttributes(attrs, 'pandoc').kvs
    if numbersections and fmt in ['html', 'html5'] and 'tag' not in kvs:
        if kvs['secno'] != cursec:
            cursec = kvs['secno']
            Nreferences = 1
        kvs['tag'] = cursec + '.' + str(Nreferences)
        Nreferences += 1

    # Save to the global references tracker
    eq['is_tagged'] = 'tag' in kvs
    if eq['is_tagged']:
        # Remove any surrounding quotes
        if kvs['tag'][0] == '"' and kvs['tag'][-1] == '"':
            kvs['tag'] = kvs['tag'].strip('"')
        elif kvs['tag'][0] == "'" and kvs['tag'][-1] == "'":
            kvs['tag'] = kvs['tag'].strip("'")
        references[attrs[0]] = kvs['tag']
    else:
        Nreferences += 1
        references[attrs[0]] = Nreferences

    # Adjust equation depending on the output format
    if fmt in ['latex', 'beamer']:
        if not eq['is_unreferenceable']:  # Code in the tags
            value[-1] += r'\tag{%s}\label{%s}' % \
              (references[attrs[0]].replace(' ', r'\ '), attrs[0]) \
              if eq['is_tagged'] else r'\label{%s}'%attrs[0]
    elif fmt in ('html', 'html5'):
        pass  # Insert html in process_equations() instead
    else:  # Hard-code in the number/tag
        if isinstance(references[attrs[0]], int):  # Numbered reference
            value[-1] += r'\qquad (%d)' % references[attrs[0]]
        else:  # Tagged reference
            assert isinstance(references[attrs[0]], STRTYPES)
            text = references[attrs[0]].replace(' ', r'\ ')
            if text.startswith('$') and text.endswith('$'):  # Math
                tag = text[1:-1]
            else:  # Text
                tag = r'\text{%s}' % text
            value[-1] += r'\qquad (%s)' % tag

    return eq