diff --git a/Dockerfile b/Dockerfile
index 553cb64..7338327 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,10 +1,12 @@
 
 FROM python:3.7-alpine
 
-RUN mkdir -p /var/matemat/db /var/matemat/upload
-RUN apk --update add libmagic
 ADD . /
-RUN pip3 install -r /requirements.txt
+RUN mkdir -p /var/matemat/db /var/matemat/upload \
+  && apk --update add libmagic zlib jpeg zlib-dev jpeg-dev build-base \
+  && pip3 install -r /requirements.txt \
+  && apk del zlib-dev jpeg-dev build-base \
+  && rm -rf /var/cache/apk /root/.cache/pip
 
 EXPOSE 80/tcp
 CMD [ "/run.sh" ]