diff --git a/src/api/python/z3/z3.py b/src/api/python/z3/z3.py
index d4ff556fe..36283356d 100644
--- a/src/api/python/z3/z3.py
+++ b/src/api/python/z3/z3.py
@@ -114,15 +114,26 @@ def _symbol2py(ctx, s):
 
 # Hack for having nary functions that can receive one argument that is the
 # list of arguments.
+# Use this when function takes a single list of arguments
 def _get_args(args):
-    try:
-        if len(args) == 1 and (isinstance(args[0], tuple) or isinstance(args[0], list)):
+     try:
+       if len(args) == 1 and (isinstance(args[0], tuple) or isinstance(args[0], list)):
             return args[0]
-        elif len(args) == 1 and (isinstance(args[0], set) or isinstance(args[0], AstVector)):
+       elif len(args) == 1 and (isinstance(args[0], set) or isinstance(args[0], AstVector)):
             return [arg for arg in args[0]]
+       else:
+            return args
+     except:  # len is not necessarily defined when args is not a sequence (use reflection?)
+        return args
+
+# Use this when function takes multiple arguments
+def _get_args_ast_list(args):
+    try:
+        if isinstance(args, set) or isinstance(args, AstVector) or isinstance(args, tuple):
+            return [arg for arg in args]
         else:
             return args
-    except:  # len is not necessarily defined when args is not a sequence (use reflection?)
+    except:
         return args
 
 def _to_param_value(val):
@@ -7943,8 +7954,10 @@ def AtLeast(*args):
     return BoolRef(Z3_mk_atleast(ctx.ref(), sz, _args, k), ctx)
 
 
-def _pb_args_coeffs(args):
-    args  = _get_args(args)
+def _pb_args_coeffs(args, default_ctx = None):
+    args  = _get_args_ast_list(args)
+    if len(args) == 0:
+       return _get_ctx(default_ctx), 0, (Ast * 0)(), (ctypes.c_int * 0)()
     args, coeffs = zip(*args)
     if __debug__:
         _z3_assert(len(args) > 0, "Non empty list of arguments expected")
@@ -7976,7 +7989,7 @@ def PbGe(args, k):
     ctx, sz, _args, _coeffs = _pb_args_coeffs(args)
     return BoolRef(Z3_mk_pbge(ctx.ref(), sz, _args, _coeffs, k), ctx)
 
-def PbEq(args, k):
+def PbEq(args, k, ctx = None):
     """Create a Pseudo-Boolean inequality k constraint.
 
     >>> a, b, c = Bools('a b c')
diff --git a/src/api/python/z3/z3printer.py b/src/api/python/z3/z3printer.py
index 3a6b7269e..8fd0c182e 100644
--- a/src/api/python/z3/z3printer.py
+++ b/src/api/python/z3/z3printer.py
@@ -36,7 +36,7 @@ _z3_op_to_str = {
     Z3_OP_CONCAT : 'Concat', Z3_OP_EXTRACT : 'Extract', Z3_OP_BV2INT : 'BV2Int',
     Z3_OP_ARRAY_MAP : 'Map', Z3_OP_SELECT : 'Select', Z3_OP_STORE : 'Store', 
     Z3_OP_CONST_ARRAY : 'K', Z3_OP_ARRAY_EXT : 'Ext', 
-    Z3_OP_PB_AT_MOST : 'AtMost', Z3_OP_PB_LE : 'PbLe', Z3_OP_PB_GE : 'PbGe'
+    Z3_OP_PB_AT_MOST : 'AtMost', Z3_OP_PB_LE : 'PbLe', Z3_OP_PB_GE : 'PbGe', Z3_OP_PB_EQ : 'PbEq'
     }
 
 # List of infix operators
@@ -930,6 +930,8 @@ class Formatter:
                 return self.pp_pbcmp(a, d, f, xs)
             elif k == Z3_OP_PB_GE:
                 return self.pp_pbcmp(a, d, f, xs)
+            elif k == Z3_OP_PB_EQ:
+                return self.pp_pbcmp(a, d, f, xs)
             elif z3.is_pattern(a):
                 return self.pp_pattern(a, d, xs)
             elif self.is_infix(k):
diff --git a/src/smt/smt_quantifier.cpp b/src/smt/smt_quantifier.cpp
index 0ca244185..1f6811a0f 100644
--- a/src/smt/smt_quantifier.cpp
+++ b/src/smt/smt_quantifier.cpp
@@ -222,7 +222,7 @@ namespace smt {
 
         final_check_status final_check_eh(bool full) {
             if (full) {
-                IF_VERBOSE(100, verbose_stream() << "(smt.final-check \"quantifiers\")\n";);
+                IF_VERBOSE(100, if (!m_quantifiers.empty()) verbose_stream() << "(smt.final-check \"quantifiers\")\n";);
                 final_check_status result  = m_qi_queue.final_check_eh() ? FC_DONE : FC_CONTINUE;
                 final_check_status presult = m_plugin->final_check_eh(full);
                 if (presult != FC_DONE)