diff --git a/Lib/test/test_cmd_line.py b/Lib/test/test_cmd_line.py
index efef74f..28362df 100644
--- a/Lib/test/test_cmd_line.py
+++ b/Lib/test/test_cmd_line.py
@@ -103,6 +103,20 @@
             self.exit_code('-c', 'pass'),
             0)
 
+    def test_hash_randomization(self):
+        # Verify that -R enables hash randomization:
+        self.verify_valid_flag('-R')
+        hashes = []
+        for i in range(2):
+            code = 'print(hash("spam"))'
+            data = self.start_python('-R', '-c', code)
+            hashes.append(data)
+        self.assertNotEqual(hashes[0], hashes[1])
+
+        # Verify that sys.flags contains hash_randomization
+        code = 'import sys; print sys.flags'
+        data = self.start_python('-R', '-c', code)
+        self.assertTrue('hash_randomization=1' in data)
 
 def test_main():
     test.test_support.run_unittest(CmdLineTest)
diff --git a/Lib/test/test_hash.py b/Lib/test/test_hash.py
index 7ce40b9..1a982c4 100644
--- a/Lib/test/test_hash.py
+++ b/Lib/test/test_hash.py
@@ -3,10 +3,18 @@
 #
 # Also test that hash implementations are inherited as expected
 
+import os
+import sys
+import struct
+import datetime
 import unittest
+import subprocess
+
 from test import test_support
 from collections import Hashable
 
+IS_64BIT = (struct.calcsize('l') == 8)
+
 
 class HashEqualityTestCase(unittest.TestCase):
 
@@ -133,10 +141,100 @@
         for obj in self.hashes_to_check:
             self.assertEqual(hash(obj), _default_hash(obj))
 
+class HashRandomizationTests(unittest.TestCase):
+
+    # Each subclass should define a field "repr_", containing the repr() of
+    # an object to be tested
+
+    def get_hash_command(self, repr_):
+        return 'print(hash(%s))' % repr_
+
+    def get_hash(self, repr_, seed=None):
+        env = os.environ.copy()
+        if seed is not None:
+            env['PYTHONHASHSEED'] = str(seed)
+        else:
+            env.pop('PYTHONHASHSEED', None)
+        cmd_line = [sys.executable, '-c', self.get_hash_command(repr_)]
+        p = subprocess.Popen(cmd_line, stdin=subprocess.PIPE,
+                             stdout=subprocess.PIPE, stderr=subprocess.STDOUT,
+                             env=env)
+        out, err = p.communicate()
+        out = test_support.strip_python_stderr(out)
+        return int(out.strip())
+
+    def test_randomized_hash(self):
+        # two runs should return different hashes
+        run1 = self.get_hash(self.repr_, seed='random')
+        run2 = self.get_hash(self.repr_, seed='random')
+        self.assertNotEqual(run1, run2)
+
+class StringlikeHashRandomizationTests(HashRandomizationTests):
+    def test_null_hash(self):
+        # PYTHONHASHSEED=0 disables the randomized hash
+        if IS_64BIT:
+            known_hash_of_obj = 1453079729188098211
+        else:
+            known_hash_of_obj = -1600925533
+
+        # Randomization is disabled by default:
+        self.assertEqual(self.get_hash(self.repr_), known_hash_of_obj)
+
+        # It can also be disabled by setting the seed to 0:
+        self.assertEqual(self.get_hash(self.repr_, seed=0), known_hash_of_obj)
+
+    def test_fixed_hash(self):
+        # test a fixed seed for the randomized hash
+        # Note that all types share the same values:
+        if IS_64BIT:
+            h = -4410911502303878509
+        else:
+            h = -206076799
+        self.assertEqual(self.get_hash(self.repr_, seed=42), h)
+
+class StrHashRandomizationTests(StringlikeHashRandomizationTests):
+    repr_ = repr('abc')
+
+    def test_empty_string(self):
+        self.assertEqual(hash(""), 0)
+
+class UnicodeHashRandomizationTests(StringlikeHashRandomizationTests):
+    repr_ = repr(u'abc')
+
+    def test_empty_string(self):
+        self.assertEqual(hash(u""), 0)
+
+class BufferHashRandomizationTests(StringlikeHashRandomizationTests):
+    repr_ = 'buffer("abc")'
+
+    def test_empty_string(self):
+        self.assertEqual(hash(buffer("")), 0)
+
+class DatetimeTests(HashRandomizationTests):
+    def get_hash_command(self, repr_):
+        return 'import datetime; print(hash(%s))' % repr_
+
+class DatetimeDateTests(DatetimeTests):
+    repr_ = repr(datetime.date(1066, 10, 14))
+
+class DatetimeDatetimeTests(DatetimeTests):
+    repr_ = repr(datetime.datetime(1, 2, 3, 4, 5, 6, 7))
+
+class DatetimeTimeTests(DatetimeTests):
+    repr_ = repr(datetime.time(0))
+
+
 def test_main():
     test_support.run_unittest(HashEqualityTestCase,
                               HashInheritanceTestCase,
-                              HashBuiltinsTestCase)
+                              HashBuiltinsTestCase,
+                              StrHashRandomizationTests,
+                              UnicodeHashRandomizationTests,
+                              BufferHashRandomizationTests,
+                              DatetimeDateTests,
+                              DatetimeDatetimeTests,
+                              DatetimeTimeTests)
+                              
 
 
 if __name__ == "__main__":
diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index db7e9b4..0561499 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -6,6 +6,8 @@
 import unittest
 import warnings
 import sys
+import subprocess
+
 from test import test_support
 
 warnings.filterwarnings("ignore", "tempnam", RuntimeWarning, __name__)
@@ -499,18 +501,46 @@
 
 class URandomTests (unittest.TestCase):
     def test_urandom(self):
-        try:
-            with test_support.check_warnings():
-                self.assertEqual(len(os.urandom(1)), 1)
-                self.assertEqual(len(os.urandom(10)), 10)
-                self.assertEqual(len(os.urandom(100)), 100)
-                self.assertEqual(len(os.urandom(1000)), 1000)
-                # see http://bugs.python.org/issue3708
-                self.assertEqual(len(os.urandom(0.9)), 0)
-                self.assertEqual(len(os.urandom(1.1)), 1)
-                self.assertEqual(len(os.urandom(2.0)), 2)
-        except NotImplementedError:
-            pass
+        with test_support.check_warnings():
+            self.assertEqual(len(os.urandom(1)), 1)
+            self.assertEqual(len(os.urandom(10)), 10)
+            self.assertEqual(len(os.urandom(100)), 100)
+            self.assertEqual(len(os.urandom(1000)), 1000)
+            # see http://bugs.python.org/issue3708
+            self.assertEqual(len(os.urandom(0.9)), 0)
+            self.assertEqual(len(os.urandom(1.1)), 1)
+            self.assertEqual(len(os.urandom(2.0)), 2)
+
+    def test_urandom_length(self):
+        self.assertEqual(len(os.urandom(0)), 0)
+        self.assertEqual(len(os.urandom(1)), 1)
+        self.assertEqual(len(os.urandom(10)), 10)
+        self.assertEqual(len(os.urandom(100)), 100)
+        self.assertEqual(len(os.urandom(1000)), 1000)
+
+    def test_urandom_value(self):
+        data1 = os.urandom(16)
+        data2 = os.urandom(16)
+        self.assertNotEqual(data1, data2)
+
+    def get_urandom_subprocess(self, count):
+        code = '\n'.join((
+            'import os, sys',
+            'data = os.urandom(%s)' % count,
+            'sys.stdout.write(data)',
+            'sys.stdout.flush()'))
+        cmd_line = [sys.executable, '-c', code]
+        p = subprocess.Popen(cmd_line, stdin=subprocess.PIPE,
+                             stdout=subprocess.PIPE, stderr=subprocess.STDOUT)
+        out, err = p.communicate()
+        out = test_support.strip_python_stderr(out)
+        self.assertEqual(len(out), count)
+        return out
+
+    def test_urandom_subprocess(self):
+        data1 = self.get_urandom_subprocess(16)
+        data2 = self.get_urandom_subprocess(16)
+        self.assertNotEqual(data1, data2)
 
 class Win32ErrorTests(unittest.TestCase):
     def test_rename(self):
diff --git a/Lib/test/test_set.py b/Lib/test/test_set.py
index 3539a14..18822ca 100644
--- a/Lib/test/test_set.py
+++ b/Lib/test/test_set.py
@@ -6,7 +6,6 @@
 import operator
 import copy
 import pickle
-import os
 from random import randrange, shuffle
 import sys
 import collections
@@ -688,6 +687,17 @@
         if self.repr is not None:
             self.assertEqual(repr(self.set), self.repr)
 
+    def check_repr_against_values(self):
+        text = repr(self.set)
+        self.assertTrue(text.startswith('{'))
+        self.assertTrue(text.endswith('}'))
+
+        result = text[1:-1].split(', ')
+        result.sort()
+        sorted_repr_values = [repr(value) for value in self.values]
+        sorted_repr_values.sort()
+        self.assertEqual(result, sorted_repr_values)
+
     def test_print(self):
         fo = open(test_support.TESTFN, "wb")
         try:
@@ -837,6 +847,46 @@
         self.length = 3
         self.repr   = None
 
+#------------------------------------------------------------------------------
+
+class TestBasicOpsString(TestBasicOps):
+    def setUp(self):
+        self.case   = "string set"
+        self.values = ["a", "b", "c"]
+        self.set    = set(self.values)
+        self.dup    = set(self.values)
+        self.length = 3
+
+    def test_repr(self):
+        self.check_repr_against_values()
+
+#------------------------------------------------------------------------------
+
+class TestBasicOpsUnicode(TestBasicOps):
+    def setUp(self):
+        self.case   = "unicode set"
+        self.values = [u"a", u"b", u"c"]
+        self.set    = set(self.values)
+        self.dup    = set(self.values)
+        self.length = 3
+
+    def test_repr(self):
+        self.check_repr_against_values()
+
+#------------------------------------------------------------------------------
+
+class TestBasicOpsMixedStringUnicode(TestBasicOps):
+    def setUp(self):
+        self.case   = "string and bytes set"
+        self.values = ["a", "b", u"a", u"b"]
+        self.set    = set(self.values)
+        self.dup    = set(self.values)
+        self.length = 4
+
+    def test_repr(self):
+        with test_support.check_warnings():
+            self.check_repr_against_values()
+
 #==============================================================================
 
 def baditer():
diff --git a/Lib/test/test_support.py b/Lib/test/test_support.py
index 2212fce..b572f9a 100644
--- a/Lib/test/test_support.py
+++ b/Lib/test/test_support.py
@@ -24,7 +24,7 @@
            "captured_stdout", "TransientResource", "transient_internet",
            "run_with_locale", "set_memlimit", "bigmemtest", "bigaddrspacetest",
            "BasicTestRunner", "run_unittest", "run_doctest", "threading_setup",
-           "threading_cleanup", "reap_children"]
+           "threading_cleanup", "reap_children", "strip_python_stderr"]
 
 class Error(Exception):
     """Base class for regression test exceptions."""
@@ -893,3 +893,13 @@
                     break
             except:
                 break
+
+def strip_python_stderr(stderr):
+    """Strip the stderr of a Python process from potential debug output
+    emitted by the interpreter.
+
+    This will typically be run on the result of the communicate() method
+    of a subprocess.Popen object.
+    """
+    stderr = re.sub(br"\[\d+ refs\]\r?\n?$", b"", stderr).strip()
+    return stderr
diff --git a/Lib/test/test_symtable.py b/Lib/test/test_symtable.py
index 0b4190d..4b54f55 100644
--- a/Lib/test/test_symtable.py
+++ b/Lib/test/test_symtable.py
@@ -105,10 +105,11 @@
 
     def test_function_info(self):
         func = self.spam
-        self.assertEqual(func.get_parameters(), ("a", "b", "kw", "var"))
-        self.assertEqual(func.get_locals(),
+        self.assertEqual(
+            tuple(sorted(func.get_parameters())), ("a", "b", "kw", "var"))
+        self.assertEqual(tuple(sorted(func.get_locals())),
                          ("a", "b", "bar", "internal", "kw", "var", "x"))
-        self.assertEqual(func.get_globals(), ("bar", "glob"))
+        self.assertEqual(tuple(sorted(func.get_globals())), ("bar", "glob"))
         self.assertEqual(self.internal.get_frees(), ("x",))
 
     def test_globals(self):
diff --git a/Lib/test/test_sys.py b/Lib/test/test_sys.py
index fd6fb2b..e82569a 100644
--- a/Lib/test/test_sys.py
+++ b/Lib/test/test_sys.py
@@ -384,7 +384,7 @@
         attrs = ("debug", "py3k_warning", "division_warning", "division_new",
                  "inspect", "interactive", "optimize", "dont_write_bytecode",
                  "no_site", "ignore_environment", "tabcheck", "verbose",
-                 "unicode", "bytes_warning")
+                 "unicode", "bytes_warning", "hash_randomization")
         for attr in attrs:
             self.assert_(hasattr(sys.flags, attr), attr)
             self.assertEqual(type(getattr(sys.flags, attr)), int, attr)