--- a/python/test/unit/la/test_vector.py
+++ b/python/test/unit/la/test_vector.py
@@ -22,6 +22,7 @@
 import pytest
 import numpy
 from copy import copy
+from ctypes import c_long
 
 from dolfin import *
 from dolfin_utils.test import *
@@ -398,17 +399,21 @@
     xfail_type = pytest.mark.xfail(strict=True, raises=TypeError)
     xfail_type_py3 = pytest.mark.xfail(strict=True, raises=TypeError)
 
-
+    # some systems (32 bit arches) do not have numpy.float128
+    try:
+        test_float128 = numpy.float128(42.0)
+    except AttributeError:
+        test_float128 = numpy.longdouble(42.0)
     @pytest.mark.parametrize("operand",
-                             [int(42), 42.0, numpy.sin(1.0), numpy.float(42.0),
-                                numpy.float64(42.0), numpy.float_(42.0),
-                                numpy.int(42.0), numpy.long(42.0),
+                             [int(42), 42.0, numpy.sin(1.0), float(42.0),
+                                numpy.float64(42.0),
+                                int(42.0), c_long(42).value,
                                 numpy.float16(42.0), numpy.float16(42.0),
-                                numpy.float32(42.0), numpy.float128(42.0),
-                                numpy.longfloat(42.0), numpy.int8(42.0),
+                                numpy.float32(42.0), test_float128,
+                                numpy.longdouble(42.0), numpy.int8(42.0),
                                 numpy.int16(42.0), numpy.int32(42.0),
                                 numpy.intc(42.0), numpy.longdouble(42.0),
-                                numpy.int0(42.0), numpy.int64(42.0),
+                                numpy.intp(42.0), numpy.int64(42.0),
                                 numpy.int_(42.0), numpy.longlong(42.0),
                              ])
     def test_vector_type_priority_with_numpy(self, any_backend, operand):
--- a/python/test/unit/la/test_la_basic.py
+++ b/python/test/unit/la/test_la_basic.py
@@ -89,8 +89,8 @@
     def test_vector(self, any_backend):
         self.backend, self.sub_backend = any_backend
         from numpy import ndarray, linspace, array, fromiter
-        from numpy import int,int0,int16,int32,int64
-        from numpy import uint,uint0,uint16,uint32,uint64
+        from numpy import intp,int16,int32,int64
+        from numpy import uint,uintp,uint16,uint32,uint64
         mesh = UnitSquareMesh(3, 3)
         v, w = assemble_vectors(mesh)
 
@@ -102,8 +102,8 @@
 
         # Test set and access with different integers
         lind = 2
-        for T in [int,int16,int32,int64,uint,uint0,uint16,uint32,uint64,\
-                  int0]:
+        for T in [int,int16,int32,int64,uint,uintp,uint16,uint32,uint64,\
+                  intp]:
             v[T(lind)] = 2.0
             assert round(v[T(lind)] - 2.0, 7) == 0
 
--- a/python/test/unit/function/test_expression.py
+++ b/python/test/unit/function/test_expression.py
@@ -22,7 +22,7 @@
 import pytest
 from dolfin import *
 from math import sin, cos, exp, tan
-from numpy import array, zeros, float_
+from numpy import array, zeros
 import numpy as np
 
 from dolfin_utils.test import fixture, skip_in_parallel