diff --git a/tools/utils/misc.go b/tools/utils/misc.go
index 5a107cb57..ca5b8702b 100644
--- a/tools/utils/misc.go
+++ b/tools/utils/misc.go
@@ -7,6 +7,7 @@ import (
 	"sort"
 
 	"golang.org/x/exp/constraints"
+	"golang.org/x/exp/slices"
 )
 
 var _ = fmt.Print
@@ -26,6 +27,36 @@ func Reversed[T any](s []T) []T {
 	return ans
 }
 
+func Remove[T comparable](s []T, q T) []T {
+	idx := slices.Index(s, q)
+	if idx > -1 {
+		return slices.Delete(s, idx, idx+1)
+	}
+	return s
+}
+
+func RemoveAll[T comparable](s []T, q T) []T {
+	ans := s
+	for {
+		idx := slices.Index(ans, q)
+		if idx < 0 {
+			break
+		}
+		ans = slices.Delete(ans, idx, idx+1)
+	}
+	return ans
+}
+
+func Filter[T any](s []T, f func(x T) bool) []T {
+	ans := make([]T, 0, len(s))
+	for _, x := range s {
+		if f(x) {
+			ans = append(ans, x)
+		}
+	}
+	return ans
+}
+
 func Sort[T any](s []T, less func(a, b T) bool) []T {
 	sort.Slice(s, func(i, j int) bool { return less(s[i], s[j]) })
 	return s