diff --git a/frontend/Dockerfile b/frontend/Dockerfile
index ea4ec00c..128394b0 100644
--- a/frontend/Dockerfile
+++ b/frontend/Dockerfile
@@ -18,11 +18,11 @@ RUN flutter pub get
 RUN flutter pub run build_runner build --delete-conflicting-outputs
 RUN flutter build web --release
 # Cache busting so that users don't have to hard refresh
-RUN RANDOMVALUE=$RANDOM
-RUN mv build/web/flutter_bootstrap.js build/web/flutter_bootstrap.$RANDOMVALUE.js
-RUN mv build/web/main.dart.js build/web/main.dart.$RANDOMVALUE.js
-RUN find build/web/ -type f -exec sed -i -e 's/flutter_bootstrap.js/flutter_bootstrap.'$RANDOMVALUE'.js/g' {} \;
-RUN find build/web/ -type f -exec sed -i -e 's/main.dart.js/main.dart.'$RANDOMVALUE'.js/g' {} \;
+RUN RANDOMVALUE=$RANDOM && \
+    mv build/web/flutter_bootstrap.js build/web/flutter_bootstrap.$RANDOMVALUE.js && \
+    mv build/web/main.dart.js build/web/main.dart.$RANDOMVALUE.js && \
+    find build/web/ -type f -exec sed -i -e 's/flutter_bootstrap.js/flutter_bootstrap.'$RANDOMVALUE'.js/g' {} \; && \
+    find build/web/ -type f -exec sed -i -e 's/main.dart.js/main.dart.'$RANDOMVALUE'.js/g' {} \;
 
 FROM ubuntu:22.04
 ENV DEBIAN_FRONTEND=noninteractive