diff --git a/lib/GGE/Exp.pm b/lib/GGE/Exp.pm
index f059631..597843e 100644
--- a/lib/GGE/Exp.pm
+++ b/lib/GGE/Exp.pm
@@ -37,29 +37,32 @@ role GGE::ShowContents {
     }
 }
 
-# RAKUDO: Could name this one GGE::Exp::CUT or something, if enums
-#         with '::' in them worked, which they don't. [perl #71460]
-our sub CUT_GROUP { -1 }
-our sub CUT_RULE  { -2 }
-our sub CUT_MATCH { -3 }
-#enum CUT (
-#    CUT_GROUP => -1,
-#    CUT_RULE  => -2,
-#    CUT_MATCH => -3,
-#);
-
-our sub GREEDY { 0 }
-our sub EAGER  { 1 }
-our sub NONE   { 2 }
-#enum GGE_BACKTRACK <
-#    GREEDY
-#    EAGER
-#    NONE
-#>;
 
 class GGE::Exp is GGE::Match {
     our $group;
 
+    # RAKUDO: Should be just 'CutType' [RT #75454]
+    package GGE::Exp::CutType {
+        our sub CUT_GROUP { -1 }
+        our sub CUT_RULE  { -2 }
+        our sub CUT_MATCH { -3 }
+    }
+    # RAKUDO: Enums don't work enough yet.
+    # our enum GGE::Exp::CutType (
+    #     CUT_GROUP => -1,
+    #     CUT_RULE  => -2,
+    #     CUT_MATCH => -3,
+    # );
+
+    # RAKUDO: Should be just 'Backtracking' [RT #75454]
+    package GGE::Exp::Backtracking {
+        our sub GREEDY { 0 }
+        our sub EAGER  { 1 }
+        our sub NONE   { 2 }
+    }
+    # RAKUDO: Enums don't work enough yet.
+    # our enum GGE::Exp::Backtracking <GREEDY EAGER NONE>;
+
     method structure($indent = 0) {
         # RAKUDO: The below was originally written as a map, but there's
         #         a bug somewhere in &map and lexical pads. The workaround
@@ -148,7 +151,7 @@ class GGE::Exp is GGE::Match {
             }
             when 'fail' {
                 local-return();
-            } ]], CUT_RULE);
+            } ]], GGE::Exp::CutType::CUT_RULE);
         my $explabel = 'R';
         $GGE::Exp::group = self;
         my $exp = self.reduce;
@@ -180,7 +183,8 @@ class GGE::Exp is GGE::Match {
             %hash<n> = $quant<max>;
             %hash<N> = %hash<n> == Inf ?? '### ' !! '';
             # RAKUDO: Waiting for named enums for this one
-            # my $bt = ($quant<backtrack> // GREEDY).name.lc;
+            # my $bt = ($quant<backtrack>
+            #           // GGE::Exp::Backtracking::GREEDY).name.lc;
             my $bt = 'no idea';
             %hash<Q> = sprintf '%s..%s (%s)', %hash<m>, %hash<n>, $bt;
         }
@@ -256,7 +260,7 @@ class GGE::Exp::Quant is GGE::Exp {
     method contents() {
         my ($min, $max, $bt) = map { self{$_} },
                                    <min max backtrack>;
-        $bt //= GREEDY;
+        $bt //= GGE::Exp::Backtracking::GREEDY;
         # RAKUDO: Named enums
         # "{$bt.name.lc} $min..$max"
         "no idea $min..$max"
@@ -277,7 +281,7 @@ class GGE::Exp::Quant is GGE::Exp {
         %args<c> = 0;
         %args<C> = '### ';
         given self<backtrack> {
-            when EAGER() {
+            when GGE::Exp::Backtracking::EAGER() {
                 $code.emit( q[[
             when '%L' { # quant %Q eager
                 push @gpad, 0;
@@ -308,7 +312,7 @@ class GGE::Exp::Quant is GGE::Exp {
                 goto('%1');
             } ]], $replabel, $nextlabel, |%args);
             }
-            when NONE() {
+            when GGE::Exp::Backtracking::NONE() {
                 # RAKUDO: Hash slices not implemented yet
                 # %args<c C> = $code.unique(), '';
                 %args<c> = $code.unique();
@@ -709,7 +713,7 @@ class GGE::Exp::CGroup is GGE::Exp::Group {
 
 class GGE::Exp::Cut is GGE::Exp {
     method reduce() {
-        if self<cutmark> > CUT_RULE() {
+        if self<cutmark> > GGE::Exp::CutType::CUT_RULE() {
             my $group = $GGE::Exp::group;
             if !$group<cutmark> {
                 $group<cutmark> = CodeString.unique();
@@ -802,7 +806,8 @@ class GGE::Exp::Subrule is GGE::Exp does GGE::ShowContents {
             when '%L_cont' {
                 %4
                 goto('fail');
-            } ]], CUT_MATCH, $next, $captgen, $captsave, $captback, |%args);
+            } ]], GGE::Exp::CutType::CUT_MATCH, $next,
+                  $captgen, $captsave, $captback, |%args);
         }
     }
 }
diff --git a/lib/GGE/Perl6Regex.pm b/lib/GGE/Perl6Regex.pm
index d8e7ce5..c487a2f 100644
--- a/lib/GGE/Perl6Regex.pm
+++ b/lib/GGE/Perl6Regex.pm
@@ -471,23 +471,23 @@ class GGE::Perl6Regex {
 
         $m.to = $mob.to;
         if $mod2 eq ':?' {
-            $m<backtrack> = EAGER;
+            $m<backtrack> = GGE::Exp::Backtracking::EAGER;
             $m.to += 2;
         }
         elsif $mod2 eq ':!' {
-            $m<backtrack> = GREEDY;
+            $m<backtrack> = GGE::Exp::Backtracking::GREEDY;
             $m.to += 2;
         }
         elsif $mod1 eq '?' {
-            $m<backtrack> = EAGER;
+            $m<backtrack> = GGE::Exp::Backtracking::EAGER;
             ++$m.to;
         }
         elsif $mod1 eq '!' {
-            $m<backtrack> = GREEDY;
+            $m<backtrack> = GGE::Exp::Backtracking::GREEDY;
             ++$m.to;
         }
         elsif $mod1 eq ':' || $key eq ':' {
-            $m<backtrack> = NONE;
+            $m<backtrack> = GGE::Exp::Backtracking::NONE;
             ++$m.to;
         }
 
@@ -652,7 +652,9 @@ class GGE::Perl6Regex {
             $exp<sep> = perl6exp($sep, %pad);
         }
         %pad<isarray> = $isarray;
-        $exp<backtrack> //= %pad<ratchet> ?? NONE() !! GREEDY;
+        $exp<backtrack> //= %pad<ratchet>
+            ?? GGE::Exp::Backtracking::NONE()
+            !! GGE::Exp::Backtracking::GREEDY;
         return $exp;
     }
 
@@ -730,9 +732,9 @@ class GGE::Perl6Regex {
 
     multi sub perl6exp(GGE::Exp::Cut $exp is rw, %pad) {
         $exp<cutmark> =
-               $exp.ast eq '::'  ?? CUT_GROUP()
-            !! $exp.ast eq ':::' ?? CUT_RULE()
-            !!                      CUT_MATCH;
+               $exp.ast eq '::'  ?? GGE::Exp::CutType::CUT_GROUP()
+            !! $exp.ast eq ':::' ?? GGE::Exp::CutType::CUT_RULE()
+            !!                      GGE::Exp::CutType::CUT_MATCH;
         return $exp;
     }