diff --git a/mysql-test/main/having_cond_pushdown.result b/mysql-test/main/having_cond_pushdown.result
index 1afed563fcb..e5e99fe2381 100644
--- a/mysql-test/main/having_cond_pushdown.result
+++ b/mysql-test/main/having_cond_pushdown.result
@@ -4982,3 +4982,114 @@ a
 0
 DROP TABLE t1;
 End of 10.4 tests
+#
+# MDEV-29363: Constant subquery causing a crash in pushdown optimization
+#
+CREATE TABLE t1 (a INT, b INT, c INT);
+INSERT INTO t1 VALUES (3, 3, 4), (NULL, NULL, 2);
+EXPLAIN FORMAT=JSON SELECT a,b,c FROM t1 GROUP BY a,b,c
+HAVING a = (SELECT MIN(b) AS min_b FROM t1) and (a = b or a = c);
+EXPLAIN
+{
+  "query_block": {
+    "select_id": 1,
+    "filesort": {
+      "sort_key": "t1.b, t1.c",
+      "temporary_table": {
+        "table": {
+          "table_name": "t1",
+          "access_type": "ALL",
+          "rows": 2,
+          "filtered": 100,
+          "attached_condition": "t1.a = (subquery#2) and (t1.b = (subquery#2) or t1.c = (subquery#2))"
+        },
+        "subqueries": [
+          {
+            "query_block": {
+              "select_id": 2,
+              "table": {
+                "table_name": "t1",
+                "access_type": "ALL",
+                "rows": 2,
+                "filtered": 100
+              }
+            }
+          }
+        ]
+      }
+    }
+  }
+}
+SELECT a,b,c FROM t1 GROUP BY a,b,c
+HAVING a = (SELECT MIN(b) AS min_b FROM t1) and (a = b or a = c);
+a	b	c
+3	3	4
+EXPLAIN FORMAT=JSON SELECT a FROM t1 GROUP BY a,b
+HAVING a = (SELECT MIN(a) AS min_a FROM t1) AND (a = 3 or a > b);
+EXPLAIN
+{
+  "query_block": {
+    "select_id": 1,
+    "filesort": {
+      "sort_key": "t1.b",
+      "temporary_table": {
+        "table": {
+          "table_name": "t1",
+          "access_type": "ALL",
+          "rows": 2,
+          "filtered": 100,
+          "attached_condition": "t1.a = (subquery#2) and (1 or (subquery#2) > t1.b)"
+        },
+        "subqueries": [
+          {
+            "query_block": {
+              "select_id": 2,
+              "table": {
+                "table_name": "t1",
+                "access_type": "ALL",
+                "rows": 2,
+                "filtered": 100
+              }
+            }
+          }
+        ]
+      }
+    }
+  }
+}
+SELECT a FROM t1 GROUP BY a,b
+HAVING a = (SELECT MIN(a) AS min_a FROM t1) AND (a = 3 or a > b);
+a
+3
+DROP TABLE t1;
+#
+# MDEV-32424: Pushdown: server crashes at JOIN::save_explain_data()
+# (fixed by the patch for MDEV-29363)
+#
+CREATE TABLE t1 (a INT, b INT, c INT);
+INSERT INTO t1 VALUES (1, 1, 3), (3, 2, 3);
+SELECT a,b,c FROM t1 GROUP BY a,b,c
+HAVING a = (SELECT MIN(b) AS min_b FROM t1) and a IN (b, c);
+a	b	c
+1	1	3
+DROP TABLE t1;
+#
+# MDEV-32293: Pushdown: server crashes at check_simple_equality()
+# (fixed by the patch for MDEV-29363)
+#
+CREATE VIEW v1 AS SELECT 1 AS a;
+SELECT * FROM v1 GROUP BY a HAVING a = 'b' AND a = (a IS NULL);
+a
+Warnings:
+Warning	1292	Truncated incorrect DECIMAL value: 'b'
+DROP VIEW v1;
+#
+# MDEV-32304: Pushdown: server crashes at Item_field::used_tables()
+# (fixed by the patch for MDEV-29363)
+#
+CREATE VIEW v1 AS SELECT 1 AS a;
+SELECT * FROM v1
+GROUP BY a HAVING a = (a IS NULL OR a IS NULL);
+a
+DROP VIEW v1;
+End of 10.5 tests
diff --git a/mysql-test/main/having_cond_pushdown.test b/mysql-test/main/having_cond_pushdown.test
index 57f70152375..f2812fb14f2 100644
--- a/mysql-test/main/having_cond_pushdown.test
+++ b/mysql-test/main/having_cond_pushdown.test
@@ -1498,3 +1498,64 @@ SELECT a FROM t1 GROUP BY a HAVING NOT a;
 DROP TABLE t1;
 
 --echo End of 10.4 tests
+
+--echo #
+--echo # MDEV-29363: Constant subquery causing a crash in pushdown optimization
+--echo #
+
+CREATE TABLE t1 (a INT, b INT, c INT);
+INSERT INTO t1 VALUES (3, 3, 4), (NULL, NULL, 2);
+
+let $q=
+SELECT a,b,c FROM t1 GROUP BY a,b,c
+  HAVING a = (SELECT MIN(b) AS min_b FROM t1) and (a = b or a = c);
+
+eval EXPLAIN FORMAT=JSON $q;
+eval $q;
+
+let $q=
+SELECT a FROM t1 GROUP BY a,b
+  HAVING a = (SELECT MIN(a) AS min_a FROM t1) AND (a = 3 or a > b);
+
+eval EXPLAIN FORMAT=JSON $q;
+eval $q;
+
+DROP TABLE t1;
+
+--echo #
+--echo # MDEV-32424: Pushdown: server crashes at JOIN::save_explain_data()
+--echo # (fixed by the patch for MDEV-29363)
+--echo #
+
+CREATE TABLE t1 (a INT, b INT, c INT);
+INSERT INTO t1 VALUES (1, 1, 3), (3, 2, 3);
+
+SELECT a,b,c FROM t1 GROUP BY a,b,c
+  HAVING a = (SELECT MIN(b) AS min_b FROM t1) and a IN (b, c);
+
+DROP TABLE t1;
+
+--echo #
+--echo # MDEV-32293: Pushdown: server crashes at check_simple_equality()
+--echo # (fixed by the patch for MDEV-29363)
+--echo #
+
+CREATE VIEW v1 AS SELECT 1 AS a;
+
+SELECT * FROM v1 GROUP BY a HAVING a = 'b' AND a = (a IS NULL);
+
+DROP VIEW v1;
+
+--echo #
+--echo # MDEV-32304: Pushdown: server crashes at Item_field::used_tables()
+--echo # (fixed by the patch for MDEV-29363)
+--echo #
+
+CREATE VIEW v1 AS SELECT 1 AS a;
+
+SELECT * FROM v1
+  GROUP BY a HAVING a = (a IS NULL OR a IS NULL);
+
+DROP VIEW v1;
+
+--echo End of 10.5 tests
diff --git a/sql/item.cc b/sql/item.cc
index be923fe7bae..55960ab8739 100644
--- a/sql/item.cc
+++ b/sql/item.cc
@@ -11085,8 +11085,13 @@ bool Item::cleanup_excluding_immutables_processor (void *arg)
   if (!(get_extraction_flag() == IMMUTABLE_FL))
     return cleanup_processor(arg);
   else
-  {
-    clear_extraction_flag();
     return false;
-  }
+}
+
+
+bool Item::remove_immutable_flag_processor (void *arg)
+{
+  if (get_extraction_flag() == IMMUTABLE_FL)
+    clear_extraction_flag();
+  return false;
 }
diff --git a/sql/item.h b/sql/item.h
index 389c2da4cf4..73c775a849d 100644
--- a/sql/item.h
+++ b/sql/item.h
@@ -1990,6 +1990,7 @@ public:
   virtual bool change_context_processor(void *arg) { return 0; }
   virtual bool reset_query_id_processor(void *arg) { return 0; }
   virtual bool is_expensive_processor(void *arg) { return 0; }
+  bool remove_immutable_flag_processor (void *arg);
 
   // FIXME reduce the number of "add field to bitmap" processors
   virtual bool add_field_to_set_processor(void *arg) { return 0; }
diff --git a/sql/sql_lex.cc b/sql/sql_lex.cc
index b669925a263..e114d6de5e1 100644
--- a/sql/sql_lex.cc
+++ b/sql/sql_lex.cc
@@ -11338,6 +11338,19 @@ Item *st_select_lex::pushdown_from_having_into_where(THD *thd, Item *having)
       goto exit;
     }
   }
+
+  /*
+    Remove IMMUTABLE_FL only after all of the elements of the condition are processed.
+  */
+  it.rewind();
+  while ((item=it++))
+  {
+    if (item->walk(&Item::remove_immutable_flag_processor, 0, STOP_PTR))
+    {
+      attach_to_conds.empty();
+      goto exit;
+    }
+  }
 exit:
   thd->lex->current_select= save_curr_select;
   return having;