diff --git a/base-notebook/Dockerfile b/base-notebook/Dockerfile
index bff89e95..a3422dd3 100644
--- a/base-notebook/Dockerfile
+++ b/base-notebook/Dockerfile
@@ -44,17 +44,16 @@ ARG miniforge_checksum="c56cc2da96043688c6bdb521d825de27754de0a342d5228ba3155cd9
 # Install all OS dependencies for notebook server that starts but lacks all
 # features (e.g., download as all possible file formats)
 ENV DEBIAN_FRONTEND noninteractive
-RUN apt-get -q update \
- && apt-get install -yq --no-install-recommends \
+RUN apt-get -q update && \
+    apt-get install -yq --no-install-recommends \
     wget \
     ca-certificates \
     sudo \
     locales \
     fonts-liberation \
-    run-one \
- && apt-get clean && rm -rf /var/lib/apt/lists/*
-
-RUN echo "en_US.UTF-8 UTF-8" > /etc/locale.gen && \
+    run-one && \
+    apt-get clean && rm -rf /var/lib/apt/lists/* && \
+    echo "en_US.UTF-8 UTF-8" > /etc/locale.gen && \
     locale-gen
 
 # Configure environment
@@ -159,9 +158,8 @@ USER root
 
 # Prepare upgrade to JupyterLab V3.0 #1205
 RUN sed -re "s/c.NotebookApp/c.ServerApp/g" \
-    /etc/jupyter/jupyter_notebook_config.py > /etc/jupyter/jupyter_server_config.py
-
-RUN fix-permissions /etc/jupyter/
+    /etc/jupyter/jupyter_notebook_config.py > /etc/jupyter/jupyter_server_config.py && \
+    fix-permissions /etc/jupyter/
 
 # Switch back to jovyan to avoid accidental container runs as root
 USER $NB_UID
diff --git a/base-notebook/test/test_python.py b/base-notebook/test/test_python.py
new file mode 100644
index 00000000..f36b748e
--- /dev/null
+++ b/base-notebook/test/test_python.py
@@ -0,0 +1,19 @@
+# Copyright (c) Jupyter Development Team.
+# Distributed under the terms of the Modified BSD License.
+import logging
+
+from packaging import version
+
+LOGGER = logging.getLogger(__name__)
+
+
+def test_python_version(container, python_next_version="3.9"):
+    """Check that python version is lower than the next version"""
+    LOGGER.info(f"Checking that python version is lower than {python_next_version}")
+    c = container.run(tty=True, command=["start.sh"])
+    cmd = c.exec_run("python --version")
+    output = cmd.output.decode("utf-8")
+    actual_python_version = version.parse(output.split()[1])
+    assert actual_python_version < version.parse(
+        python_next_version
+    ), f"Python version shall be lower than {python_next_version}"
diff --git a/datascience-notebook/Dockerfile b/datascience-notebook/Dockerfile
index de58ea49..62ce058c 100644
--- a/datascience-notebook/Dockerfile
+++ b/datascience-notebook/Dockerfile
@@ -39,8 +39,8 @@ RUN mkdir "/opt/julia-${JULIA_VERSION}" && \
     wget -q https://julialang-s3.julialang.org/bin/linux/x64/$(echo "${JULIA_VERSION}" | cut -d. -f 1,2)"/julia-${JULIA_VERSION}-linux-x86_64.tar.gz" && \
     echo "${julia_checksum} *julia-${JULIA_VERSION}-linux-x86_64.tar.gz" | sha256sum -c - && \
     tar xzf "julia-${JULIA_VERSION}-linux-x86_64.tar.gz" -C "/opt/julia-${JULIA_VERSION}" --strip-components=1 && \
-    rm "/tmp/julia-${JULIA_VERSION}-linux-x86_64.tar.gz"
-RUN ln -fs /opt/julia-*/bin/julia /usr/local/bin/julia
+    rm "/tmp/julia-${JULIA_VERSION}-linux-x86_64.tar.gz" && \
+    ln -fs /opt/julia-*/bin/julia /usr/local/bin/julia
 
 # Show Julia where conda libraries are \
 RUN mkdir /etc/julia && \
diff --git a/pyspark-notebook/Dockerfile b/pyspark-notebook/Dockerfile
index 9f09e161..6c24329d 100644
--- a/pyspark-notebook/Dockerfile
+++ b/pyspark-notebook/Dockerfile
@@ -56,7 +56,7 @@ USER $NB_UID
 
 # Install pyarrow
 RUN conda install --quiet --yes --satisfied-skip-solve \
-    'pyarrow=3.0.*' && \
+    'pyarrow=4.0.*' && \
     conda clean --all -f -y && \
     fix-permissions "${CONDA_DIR}" && \
     fix-permissions "/home/${NB_USER}"
diff --git a/scipy-notebook/Dockerfile b/scipy-notebook/Dockerfile
index dd912670..bedbaa02 100644
--- a/scipy-notebook/Dockerfile
+++ b/scipy-notebook/Dockerfile
@@ -24,7 +24,7 @@ RUN conda install --quiet --yes \
     'cython=0.29.*' \
     'dask=2021.4.*' \
     'dill=0.3.*' \
-    'h5py=3.1.*' \
+    'h5py=3.2.*' \
     'ipywidgets=7.6.*' \
     'ipympl=0.7.*'\
     'matplotlib-base=3.4.*' \
@@ -40,7 +40,7 @@ RUN conda install --quiet --yes \
     'seaborn=0.11.*' \
     'sqlalchemy=1.4.*' \
     'statsmodels=0.12.*' \
-    'sympy=1.7.*' \
+    'sympy=1.8.*' \
     'vincent=0.4.*' \
     'widgetsnbextension=3.5.*'\
     'xlrd=2.0.*' && \
diff --git a/tensorflow-notebook/Dockerfile b/tensorflow-notebook/Dockerfile
index 902218f0..7be3aed8 100644
--- a/tensorflow-notebook/Dockerfile
+++ b/tensorflow-notebook/Dockerfile
@@ -7,8 +7,7 @@ LABEL maintainer="Jupyter Project <jupyter@googlegroups.com>"
 
 # Install Tensorflow
 RUN mamba install --quiet --yes \
-    'tensorflow=2.4.1' \
-    && \
+    'tensorflow=2.4.1' && \
     conda clean --all -f -y && \
     fix-permissions "${CONDA_DIR}" && \
     fix-permissions "/home/${NB_USER}"