diff --git a/.github/workflows/buildwheel.yml b/.github/workflows/buildwheel.yml
index d8cdb150..2b2da417 100644
--- a/.github/workflows/buildwheel.yml
+++ b/.github/workflows/buildwheel.yml
@@ -7,28 +7,54 @@ jobs:
     name: Build wheels for ${{ matrix.os }}
     runs-on: ${{ matrix.os }}
     strategy:
+      fail-fast: false
       matrix:
         # os: [ubuntu-20.04, windows-2019, macOS-10.15]
         os: [ubuntu-20.04, macOS-10.15]
 
     steps:
-      - uses: actions/checkout@v2
+      - uses: actions/checkout@v3
       - uses: actions/setup-python@v2
 
-      - name: Install cibuildwheel
-        run: python -m pip install cibuildwheel==1.10.0
       - name: Build wheels
-        run: python -m cibuildwheel --output-dir wheelhouse
+        uses: pypa/cibuildwheel@v2.3.1
         env:
-          CIBW_BUILD: cp37-* cp38-*
+          CIBW_BUILD: cp37-* cp38-* cp39-* cp310-*
+          CIBW_SKIP: "*-win32 *-manylinux_i686 *-musllinux_*"
+          CIBW_MANYLINUX_X86_64_IMAGE: manylinux2014
           CIBW_BEFORE_ALL_LINUX: bin/cibw_before_build_linux.sh
           CIBW_BEFORE_ALL_MACOS: bin/cibw_before_build_macosx.sh
-          # There are problems with both older and newer cython versions...
-          CIBW_BEFORE_BUILD: pip install numpy cython==0.27.3
+          CIBW_BEFORE_BUILD: pip install numpy cython
           CIBW_ENVIRONMENT: >
             C_INCLUDE_PATH=$(pwd)/.local/include/
             LIBRARY_PATH=$(pwd)/.local/lib/
             LD_LIBRARY_PATH=$(pwd)/.local/lib:$LD_LIBRARY_PATH
+          CIBW_TEST_COMMAND: python -c 'import flint; print(str(flint.fmpz(2)))'
+
       - uses: actions/upload-artifact@v2
         with:
           path: wheelhouse/*.whl
+
+  test_wheels:
+    needs: build_wheels
+    name: Test ${{ matrix.python-version }} wheel on ${{ matrix.os }}
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        os: [ubuntu-20.04, macOS-10.15]
+        python-version: ['3.7', '3.8', '3.9', '3.10']
+
+    steps:
+      - uses: actions/checkout@v2
+      - uses: actions/setup-python@v2
+        with:
+          python-version: ${{ matrix.python-version }}
+      - uses: actions/download-artifact@v3
+        with:
+          name: artifact
+          path: wheelhouse
+      - run: python -m venv venv
+      - run: venv/bin/pip install -U pip
+      - run: venv/bin/pip install --find-links wheelhouse python_flint
+      - run: venv/bin/python test/test.py
diff --git a/bin/build_dependencies_unix.sh b/bin/build_dependencies_unix.sh
index 52013c3d..6ff7117e 100755
--- a/bin/build_dependencies_unix.sh
+++ b/bin/build_dependencies_unix.sh
@@ -74,6 +74,8 @@ if [ $USE_GMP = "gmp" ]; then
   curl -O https://gmplib.org/download/gmp/gmp-$GMPVER.tar.xz
   tar xf gmp-$GMPVER.tar.xz
   cd gmp-$GMPVER
+    # Show the output of configfsf.guess
+    ./configfsf.guess
     ./configure --prefix=$PREFIX\
       --enable-fat\
       --enable-shared=yes\
diff --git a/bin/build_variables.sh b/bin/build_variables.sh
index 027532c4..253f787e 100644
--- a/bin/build_variables.sh
+++ b/bin/build_variables.sh
@@ -14,8 +14,8 @@ PREFIX=$(pwd)/.local
 mkdir -p $PREFIX
 
 GMPVER=6.2.1
-YASMVER=1.3.1
+YASMVER=1.3.0
 MPIRVER=3.0.0
 MPFRVER=4.1.0
-FLINTVER=2.7.1
-ARBVER=2.19.0
+FLINTVER=2.8.4
+ARBVER=2.22.0
diff --git a/bin/build_wheel.sh b/bin/build_wheel.sh
index ba314f40..bc4c62ef 100755
--- a/bin/build_wheel.sh
+++ b/bin/build_wheel.sh
@@ -12,8 +12,8 @@ source bin/build_variables.sh
 python3 -m venv $PREFIX/venv
 source $PREFIX/venv/bin/activate
 pip install -U pip wheel delocate
-pip install numpy cython==0.27.3
-# N.B. bugs in both older and newer Cython versions...
+pip install numpy cython
+# Working as of cython==0.29.28
 
 C_INCLUDE_PATH=.local/include/ LIBRARY_PATH=.local/lib/ pip wheel .
 
diff --git a/bin/cibw_before_build_linux.sh b/bin/cibw_before_build_linux.sh
index 01506701..0bfc1456 100755
--- a/bin/cibw_before_build_linux.sh
+++ b/bin/cibw_before_build_linux.sh
@@ -2,5 +2,5 @@
 
 yum install -y xz
 bin/build_dependencies_unix.sh\
-  --gmp gmp\
-  --host x86_64-unknown-linux-gnu
+  --gmp mpir\
+  --host x86_64-pc-linux-gnu