diff --git a/src/tools/tidy/src/allowed_run_make_makefiles.txt b/src/tools/tidy/src/allowed_run_make_makefiles.txt
index 6b3533c25785f..d6da40d3d78f0 100644
--- a/src/tools/tidy/src/allowed_run_make_makefiles.txt
+++ b/src/tools/tidy/src/allowed_run_make_makefiles.txt
@@ -27,10 +27,7 @@ run-make/foreign-rust-exceptions/Makefile
 run-make/incr-add-rust-src-component/Makefile
 run-make/incr-foreign-head-span/Makefile
 run-make/interdependent-c-libraries/Makefile
-run-make/issue-107094/Makefile
-run-make/issue-14698/Makefile
 run-make/issue-15460/Makefile
-run-make/issue-33329/Makefile
 run-make/issue-35164/Makefile
 run-make/issue-36710/Makefile
 run-make/issue-47551/Makefile
diff --git a/tests/run-make/issue-14698/foo.rs b/tests/run-make/invalid-tmpdir-env-var/foo.rs
similarity index 100%
rename from tests/run-make/issue-14698/foo.rs
rename to tests/run-make/invalid-tmpdir-env-var/foo.rs
diff --git a/tests/run-make/invalid-tmpdir-env-var/rmake.rs b/tests/run-make/invalid-tmpdir-env-var/rmake.rs
new file mode 100644
index 0000000000000..db44debb319eb
--- /dev/null
+++ b/tests/run-make/invalid-tmpdir-env-var/rmake.rs
@@ -0,0 +1,20 @@
+// When the TMP (on Windows) or TMPDIR (on Unix) variable is set to an invalid
+// or non-existing directory, this used to cause an internal compiler error (ICE). After the
+// addition of proper error handling in #28430, this test checks that the expected message is
+// printed.
+// See /~https://github.com/rust-lang/rust/issues/14698
+
+use run_make_support::{is_windows, rustc};
+
+// NOTE: This is not a UI test despite its simplicity, as the error message contains a path
+// with some variability that is difficult to normalize
+
+fn main() {
+    let mut rustc = rustc();
+    if is_windows() {
+        rustc.env("TMP", "fake");
+    } else {
+        rustc.env("TMPDIR", "fake");
+    }
+    rustc.input("foo.rs").run_fail().assert_stderr_contains("couldn't create a temp dir");
+}
diff --git a/tests/run-make/issue-107094/Makefile b/tests/run-make/issue-107094/Makefile
deleted file mode 100644
index d614e3e1055c0..0000000000000
--- a/tests/run-make/issue-107094/Makefile
+++ /dev/null
@@ -1,7 +0,0 @@
-# needs-git-hash
-
-include ../tools.mk
-
-all:
-	$(BARE_RUSTC) --version --verbose | $(CGREP) -i -e "commit-hash: [0-9a-f]{40}" "commit-date: [0-9]{4}-[0-9]{2}-[0-9]{2}"
-	$(BARE_RUSTDOC) --version --verbose | $(CGREP) -i -e "commit-hash: [0-9a-f]{40}" "commit-date: [0-9]{4}-[0-9]{2}-[0-9]{2}"
diff --git a/tests/run-make/issue-14698/Makefile b/tests/run-make/issue-14698/Makefile
deleted file mode 100644
index a1cfb5abab541..0000000000000
--- a/tests/run-make/issue-14698/Makefile
+++ /dev/null
@@ -1,4 +0,0 @@
-include ../tools.mk
-
-all:
-	TMP=fake TMPDIR=fake $(RUSTC) foo.rs 2>&1 | $(CGREP) "couldn't create a temp dir:"
diff --git a/tests/run-make/issue-33329/Makefile b/tests/run-make/issue-33329/Makefile
deleted file mode 100644
index 9c149440d8ec4..0000000000000
--- a/tests/run-make/issue-33329/Makefile
+++ /dev/null
@@ -1,5 +0,0 @@
-include ../tools.mk
-
-all:
-	$(RUSTC) --target x86_64_unknown-linux-musl main.rs 2>&1 | $(CGREP) \
-		"error: Error loading target specification: Could not find specification for target"
diff --git a/tests/run-make/issue-33329/main.rs b/tests/run-make/issue-33329/main.rs
deleted file mode 100644
index f328e4d9d04c3..0000000000000
--- a/tests/run-make/issue-33329/main.rs
+++ /dev/null
@@ -1 +0,0 @@
-fn main() {}
diff --git a/tests/run-make/version-verbose-commit-hash/rmake.rs b/tests/run-make/version-verbose-commit-hash/rmake.rs
new file mode 100644
index 0000000000000..733c0e2cdb14f
--- /dev/null
+++ b/tests/run-make/version-verbose-commit-hash/rmake.rs
@@ -0,0 +1,20 @@
+// `--version --verbose` should display the git-commit hashes of rustc and rustdoc, but this
+// functionality was lost due to #104184. After this feature was returned by #109981, this
+// test ensures it will not be broken again.
+// See /~https://github.com/rust-lang/rust/issues/107094
+
+//@ needs-git-hash
+
+use run_make_support::{bare_rustc, bare_rustdoc, regex};
+
+fn main() {
+    let out_rustc =
+        bare_rustc().arg("--version").arg("--verbose").run().stdout_utf8().to_lowercase();
+    let out_rustdoc =
+        bare_rustdoc().arg("--version").arg("--verbose").run().stdout_utf8().to_lowercase();
+    let re =
+        regex::Regex::new(r#"commit-hash: [0-9a-f]{40}\ncommit-date: [0-9]{4}-[0-9]{2}-[0-9]{2}"#)
+            .unwrap();
+    assert!(re.is_match(&out_rustc));
+    assert!(re.is_match(&out_rustdoc));
+}
diff --git a/tests/ui/errors/wrong-target-spec.rs b/tests/ui/errors/wrong-target-spec.rs
new file mode 100644
index 0000000000000..bc9038c1fab54
--- /dev/null
+++ b/tests/ui/errors/wrong-target-spec.rs
@@ -0,0 +1,8 @@
+// The attentive may note the underscores in the target triple, making it invalid. This test
+// checks that such invalid target specs are rejected by the compiler.
+// See /~https://github.com/rust-lang/rust/issues/33329
+
+//@ needs-llvm-components: x86
+//@ compile-flags: --target x86_64_unknown-linux-musl
+
+fn main() {}
diff --git a/tests/ui/errors/wrong-target-spec.stderr b/tests/ui/errors/wrong-target-spec.stderr
new file mode 100644
index 0000000000000..8b06f404078d0
--- /dev/null
+++ b/tests/ui/errors/wrong-target-spec.stderr
@@ -0,0 +1,2 @@
+error: Error loading target specification: Could not find specification for target "x86_64_unknown-linux-musl". Run `rustc --print target-list` for a list of built-in targets
+