diff --git a/kernel/cpu.c b/kernel/cpu.c
index 04892a82f6ac..2a885c5f2429 100644
--- a/kernel/cpu.c
+++ b/kernel/cpu.c
@@ -780,8 +780,8 @@ static int takedown_cpu(unsigned int cpu)
 	BUG_ON(cpu_online(cpu));
 
 	/*
-	 * The CPUHP_AP_SCHED_MIGRATE_DYING callback will have removed all
-	 * runnable tasks from the cpu, there's only the idle task left now
+	 * The teardown callback for CPUHP_AP_SCHED_STARTING will have removed
+	 * all runnable tasks from the CPU, there's only the idle task left now
 	 * that the migration thread is done doing the stop_machine thing.
 	 *
 	 * Wait for the stop thread to go away.
diff --git a/tools/objtool/Makefile b/tools/objtool/Makefile
index 0f94af3ccaaa..ae0272f9a091 100644
--- a/tools/objtool/Makefile
+++ b/tools/objtool/Makefile
@@ -7,9 +7,11 @@ ARCH := x86
 endif
 
 # always use the host compiler
-CC = gcc
-LD = ld
-AR = ar
+HOSTCC	?= gcc
+HOSTLD	?= ld
+CC	 = $(HOSTCC)
+LD	 = $(HOSTLD)
+AR	 = ar
 
 ifeq ($(srctree),)
 srctree := $(patsubst %/,%,$(dir $(CURDIR)))
diff --git a/tools/objtool/orc_dump.c b/tools/objtool/orc_dump.c
index 36c5bf6a2675..c3343820916a 100644
--- a/tools/objtool/orc_dump.c
+++ b/tools/objtool/orc_dump.c
@@ -76,7 +76,8 @@ int orc_dump(const char *_objname)
 	int fd, nr_entries, i, *orc_ip = NULL, orc_size = 0;
 	struct orc_entry *orc = NULL;
 	char *name;
-	unsigned long nr_sections, orc_ip_addr = 0;
+	size_t nr_sections;
+	Elf64_Addr orc_ip_addr = 0;
 	size_t shstrtab_idx;
 	Elf *elf;
 	Elf_Scn *scn;
@@ -187,10 +188,10 @@ int orc_dump(const char *_objname)
 				return -1;
 			}
 
-			printf("%s+%lx:", name, rela.r_addend);
+			printf("%s+%llx:", name, (unsigned long long)rela.r_addend);
 
 		} else {
-			printf("%lx:", orc_ip_addr + (i * sizeof(int)) + orc_ip[i]);
+			printf("%llx:", (unsigned long long)(orc_ip_addr + (i * sizeof(int)) + orc_ip[i]));
 		}