Ok, it is not as bad as I first thought. Many failures were due to a broken 
installation of fricas. By doing `sage -i fricas`, these are now fixed.

Also, I filtered the failures into families of failures below:

fricas related:
---------------
sage -t --long src/sage/symbolic/integration/integral.py  # 3 doctests 
failed
sage -t --long src/sage/symbolic/integration/external.py  # 14 doctests 
failed
sage -t --long src/sage/symbolic/expression.pyx  # 2 doctests failed
sage -t --long src/sage/calculus/calculus.py  # 6 doctests failed
sage -t --long src/sage/functions/other.py  # 1 doctest failed
sage -t --long src/sage/combinat/posets/posets.py  # 1 doctest failed
sage -t --long src/sage/functions/orthogonal_polys.py  # 6 doctests failed
sage -t --long src/sage/matrix/matrix1.pyx  # 4 doctests failed
sage -t --long src/sage/interfaces/fricas.py  # 172 doctests failed
sage -t --long src/sage/functions/jacobi.py  # 4 doctests failed
sage -t --long src/sage/functions/log.py  # 3 doctests failed
sage -t --long src/sage/functions/gamma.py  # 4 doctests failed
sage -t --long src/sage/calculus/desolvers.py  # 13 doctests failed
sage -t --long src/sage/functions/generalized.py  # 1 doctest failed
sage -t --long src/sage/rings/real_double.pyx  # 1 doctest failed
sage -t --long src/sage/rings/complex_double.pyx  # 1 doctest failed
sage -t --long src/sage/rings/integer_ring.pyx  # 1 doctest failed
sage -t --long src/sage/functions/error.py  # 1 doctest failed
sage -t --long src/sage/symbolic/ring.pyx  # 1 doctest failed
sage -t --long src/sage/rings/infinity.py  # 2 doctests failed
sage -t --long src/sage/rings/real_mpfr.pyx  # 1 doctest failed
sage -t --long src/sage/rings/finite_rings/integer_mod_ring.py  # 1 doctest 
failed
sage -t --long src/sage/functions/special.py  # 10 doctests failed
sage -t --long src/sage/symbolic/expression_conversions.py  # 20 doctests 
failed
sage -t --long src/sage/rings/finite_rings/integer_mod.pyx  # 2 doctests 
failed
sage -t --long src/sage/rings/rational_field.py  # 1 doctest failed

Latex stuff (fixed in https://github.com/sagemath/sage/pull/39491):
sage -t --long src/sage/misc/latex.py  # 1 doctest failed
sage -t --long src/sage/misc/latex_standalone.py  # 2 doctests failed

oeis (fixed in https://github.com/sagemath/sage/pull/39489):
sage -t --long src/sage/databases/oeis.py  # 1 doctest failed
sage -t --long src/sage/rings/lazy_series.py  # 1 doctest failed
sage -t --long src/sage/combinat/species/library.py  # 1 doctest failed
sage -t --long src/doc/en/developer/coding_basics.rst  # 1 doctest failed
sage -t --long src/sage/combinat/quickref.py  # 1 doctest failed

RuntimeError: Error loading GAP package AtlasRep.  You may want to install 
gap_packages SPKG.
sage -t --long src/sage/graphs/generators/smallgraphs.py  # 8 doctests 
failed
sage -t --long src/sage/graphs/strongly_regular_db.pyx  # 4 doctests failed

json.decoder.JSONDecodeError: Expecting value: line 1 column 1 (char 0)
sage -t --long src/sage/misc/package.py  # 2 doctests failed

internet:
sage -t --long src/sage/databases/findstat.py  # 3 doctests failed

strange ones:
sage -t --long src/sage/repl/interpreter.py  # 1 doctest failed
sage -t --long src/sage/tests/cmdline.py  # 2 doctests failed
sage -t --long src/sage/combinat/designs/ext_rep.py  # 2 doctests failed


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