diff --git a/Lib/_abcoll.py b/Lib/_abcoll.py
index 326c1f9..ad5a9c0 100644
--- a/Lib/_abcoll.py
+++ b/Lib/_abcoll.py
@@ -369,8 +369,9 @@
     __hash__ = None
 
     def __eq__(self, other):
-        return isinstance(other, Mapping) and \
-               dict(self.items()) == dict(other.items())
+        if not isinstance(other, Mapping):
+            return NotImplemented
+        return dict(self.items()) == dict(other.items())
 
     def __ne__(self, other):
         return not (self == other)
diff --git a/Lib/test/test_collections.py b/Lib/test/test_collections.py
index 4330583..363511f 100644
--- a/Lib/test/test_collections.py
+++ b/Lib/test/test_collections.py
@@ -1,5 +1,5 @@
 
-import unittest, doctest
+import unittest, doctest, operator
 import inspect
 from test import test_support
 from collections import namedtuple, Counter, OrderedDict
@@ -253,6 +253,37 @@
         self.assertNotIsInstance(C(), abc)
         self.assertFalse(issubclass(C, abc))
 
+    def validate_comparison(self, instance):
+        ops = ['lt', 'gt', 'le', 'ge', 'ne', 'or', 'and', 'xor', 'sub']
+        operators = {}
+        for op in ops:
+            name = '__' + op + '__'
+            operators[name] = getattr(operator, name)
+
+        class Other:
+            def __init__(self):
+                self.right_side = False
+            def __eq__(self, other):
+                self.right_side = True
+                return True
+            __lt__ = __eq__
+            __gt__ = __eq__
+            __le__ = __eq__
+            __ge__ = __eq__
+            __ne__ = __eq__
+            __ror__ = __eq__
+            __rand__ = __eq__
+            __rxor__ = __eq__
+            __rsub__ = __eq__
+
+        for name, op in operators.items():
+            if not hasattr(instance, name):
+                continue
+            other = Other()
+            op(instance, other)
+            self.assertTrue(other.right_side,'Right side not called for %s.%s'
+                            % (type(instance), name))
+
 class TestOneTrickPonyABCs(ABCTestCase):
 
     def test_Hashable(self):
@@ -430,6 +461,14 @@
             self.assertIsInstance(sample(), Set)
             self.assertTrue(issubclass(sample, Set))
         self.validate_abstract_methods(Set, '__contains__', '__iter__', '__len__')
+        class MySet(Set):
+            def __contains__(self, x):
+                return False
+            def __len__(self):
+                return 0
+            def __iter__(self):
+                return iter([])
+        self.validate_comparison(MySet())
 
     def test_hash_Set(self):
         class OneTwoThreeSet(Set):
@@ -493,6 +532,14 @@
             self.assertTrue(issubclass(sample, Mapping))
         self.validate_abstract_methods(Mapping, '__contains__', '__iter__', '__len__',
             '__getitem__')
+        class MyMapping(collections.Mapping):
+            def __len__(self):
+                return 0
+            def __getitem__(self, i):
+                raise IndexError
+            def __iter__(self):
+                return iter(())
+        self.validate_comparison(MyMapping())
 
     def test_MutableMapping(self):
         for sample in [dict]: