diff --git a/kokoro/linux/build_and_run_docker.sh b/kokoro/linux/build_and_run_docker.sh
index f9c6071027..b81a3684b7 100755
--- a/kokoro/linux/build_and_run_docker.sh
+++ b/kokoro/linux/build_and_run_docker.sh
@@ -8,7 +8,6 @@
 # OUTPUT_DIR - Directory that will be copied from inside docker after finishing.
 # $@ - Extra args to pass to docker run
 
-
 set -ex
 
 cd $(dirname $0)/../..
@@ -39,7 +38,6 @@ docker run \
   -e KOKORO_BUILD_ID=$KOKORO_BUILD_ID \
   -e EXTERNAL_GIT_ROOT="/var/local/kokoro/protobuf" \
   -e TEST_SET="$TEST_SET" \
-  -e THIS_IS_REALLY_NEEDED='see https://github.com/docker/docker/issues/14203 for why docker is awful' \
   -v "$git_root:/var/local/kokoro/protobuf:ro" \
   -v $CCACHE_DIR:$CCACHE_DIR \
   -w /var/local/git/protobuf \
@@ -47,16 +45,9 @@ docker run \
   $DOCKER_IMAGE_NAME \
   bash -l "/var/local/kokoro/protobuf/$DOCKER_RUN_SCRIPT" || FAILED="true"
 
-# Copy output artifacts
-if [ "$OUTPUT_DIR" != "" ]
-then
-  docker cp "$CONTAINER_NAME:/var/local/git/protobuf/$OUTPUT_DIR" "${git_root}/kokoro" || FAILED="true"
-fi
-
 # remove the container, possibly killing it first
 docker rm -f $CONTAINER_NAME || true
 
-if [ "$FAILED" != "" ]
-then
+[ -z "$FAILED" ] || {
   exit 1
-fi
+}
diff --git a/kokoro/linux/pull_request_in_docker.sh b/kokoro/linux/pull_request_in_docker.sh
index e28ef958eb..a048c47031 100755
--- a/kokoro/linux/pull_request_in_docker.sh
+++ b/kokoro/linux/pull_request_in_docker.sh
@@ -22,52 +22,4 @@ cd protobuf
 # Initialize any submodules:
 git submodule update --init --recursive
 
-# Set up the directory where our test output is going to go.
-OUTPUT_DIR=`mktemp -d`
-LOG_OUTPUT_DIR=$OUTPUT_DIR/logs
-mkdir -p $LOG_OUTPUT_DIR/1/cpp
-
-################################################################################
-# cpp build needs to run first, non-parallelized, so that protoc is available
-# for other builds.
-
-# Output filenames to follow the overall scheme used by parallel, ie:
-#  $DIR/logs/1/cpp/stdout
-#  $DIR/logs/1/cpp/stderr
-#  $DIR/logs/1/csharp/stdout
-#  $DIR/logs/1/csharp/stderr
-#  $DIR/logs/1/java_jdk7/stdout
-#  $DIR/logs/1/java_jdk7/stderr
-CPP_STDOUT=$LOG_OUTPUT_DIR/1/cpp/stdout
-CPP_STDERR=$LOG_OUTPUT_DIR/1/cpp/stderr
-
-# Time the C++ build, so we can put this info in the test output.
-# It's important that we get /usr/bin/time (which supports -f and -o) and not
-# the bash builtin "time" which doesn't.
-TIME_CMD="/usr/bin/time -f %e -o $LOG_OUTPUT_DIR/1/cpp/build_time"
-
-$TIME_CMD $TEST_SCRIPT cpp > >(tee $CPP_STDOUT) 2> >(tee $CPP_STDERR >&2)
-
-# Other tests are run in parallel. TEST_SET is defined in
-# buildcmds/pull_request{_32}.sh
-
-parallel --results $LOG_OUTPUT_DIR --joblog $OUTPUT_DIR/joblog $TEST_SCRIPT ::: \
-  $TEST_SET \
-  || FAILED="true"  # Process test results even if tests fail.
-
-cat $OUTPUT_DIR/joblog
-
-# The directory that is copied from Docker back into the Kokoro workspace.
-COPY_FROM_DOCKER=/var/local/git/protobuf/testoutput
-mkdir -p $COPY_FROM_DOCKER
-TESTOUTPUT_XML_FILE=$COPY_FROM_DOCKER/sponge_log.xml
-
-# Process all the output files from "parallel" and package them into a single
-# .xml file with detailed, broken-down test output.
-python $MY_DIR/make_test_output.py $OUTPUT_DIR > $TESTOUTPUT_XML_FILE
-
-ls -l $TESTOUTPUT_XML_FILE
-
-if [ "$FAILED" == "true" ]; then
-	exit 1
-fi
+$TEST_SCRIPT $TEST_SET
diff --git a/tests.sh b/tests.sh
index 5bb8ae39a5..4ae766c8a0 100755
--- a/tests.sh
+++ b/tests.sh
@@ -18,12 +18,12 @@ internal_build_cpp() {
   ./autogen.sh
   ./configure CXXFLAGS="-fPIC"  # -fPIC is needed for python cpp test.
                                 # See python/setup.py for more details
-  make -j2
+  make -j4
 }
 
 build_cpp() {
   internal_build_cpp
-  make check -j2 || (cat src/test-suite.log; false)
+  make check -j4 || (cat src/test-suite.log; false)
   cd conformance && make test_cpp && cd ..
 
   # The benchmark code depends on cmake, so test if it is installed before
@@ -68,7 +68,7 @@ build_cpp_distcheck() {
   fi
 
   # Do the regular dist-check for C++.
-  make distcheck -j2
+  make distcheck -j4
 }
 
 build_csharp() {