diff --git a/build/pkgs/singular/checksums.ini b/build/pkgs/singular/checksums.ini
index 69cc9aae6e3..67bdbebe236 100644
--- a/build/pkgs/singular/checksums.ini
+++ b/build/pkgs/singular/checksums.ini
@@ -1,4 +1,4 @@
 tarball=singular-VERSION.tar.gz
-sha1=1f678e1cc756fd8dc29dcdef5ae67441b6bcc779
-sha256=c269abbd24c84fe33edc0af1e78b8fec53d8e94338410ac06c2666cfd40d43f2
-upstream_url=ftp://jim.mathematik.uni-kl.de/pub/Math/Singular/SOURCES/${VERSION_MAJOR}-${VERSION_MINOR}-${VERSION_MICRO}/singular-VERSION.tar.gz
+sha1=2f67f3a8c91ef794a232c5df471c68850d248476
+sha256=23a7674d1cf734b436c26c145dc22cb51f71a14d61e6ca17084293ccd0148902
+upstream_url=ftp://jim.mathematik.uni-kl.de/pub/Math/Singular/SOURCES/${VERSION_MAJOR}-${VERSION_MINOR}-0/singular-VERSION.tar.gz
diff --git a/build/pkgs/singular/package-version.txt b/build/pkgs/singular/package-version.txt
index fdc6698807a..fee356b7e0f 100644
--- a/build/pkgs/singular/package-version.txt
+++ b/build/pkgs/singular/package-version.txt
@@ -1 +1 @@
-4.4.0
+4.4.0p6
diff --git a/src/sage/libs/singular/option.pyx b/src/sage/libs/singular/option.pyx
index e729255e2d9..3855fb2f732 100644
--- a/src/sage/libs/singular/option.pyx
+++ b/src/sage/libs/singular/option.pyx
@@ -20,15 +20,17 @@ By default, tail reductions are performed::
     sage: from sage.libs.singular.option import opt, opt_ctx
     sage: opt['red_tail']
     True
-    sage: std(I)[-1]
+    sage: red = std(I)[-1]; red
     d^2*e^6 + 28*b*c*d + ...
 
 If we don't want this, we can create an option context, which disables
 this::
 
     sage: with opt_ctx(red_tail=False, red_sb=False):
-    ....:    std(I)[-1]
-    d^2*e^6 + 8*c^3 + ...
+    ....:    notred = std(I)[-1]; notred
+    d^2*e^6 + ...
+    sage: len(list(red)) < len(list(notred))
+    True
 
 However, this does not affect the global state::
 
diff --git a/src/sage/rings/polynomial/multi_polynomial_ideal.py b/src/sage/rings/polynomial/multi_polynomial_ideal.py
index bb9ee33b86f..f8daa8371b6 100644
--- a/src/sage/rings/polynomial/multi_polynomial_ideal.py
+++ b/src/sage/rings/polynomial/multi_polynomial_ideal.py
@@ -176,7 +176,7 @@
     The Groebner basis modulo any product of the prime factors is also non-trivial::
 
         sage: I.change_ring(P.change_ring(IntegerModRing(2 * 7))).groebner_basis()
-        [x + 9*y + 13*z, y^2 + 3*y, y*z + 7*y + 6, 2*y + 6, z^2 + 3, 2*z + 10]
+        [x + ..., y^2 + 3*y, y*z + 7*y + 6, 2*y + 6, z^2 + 3, 2*z + 10]
 
     Modulo any other prime the Groebner basis is trivial so there are
     no other solutions. For example::