diff --git a/Project.toml b/Project.toml
index 9fca97b98..94a4d84f0 100644
--- a/Project.toml
+++ b/Project.toml
@@ -13,7 +13,7 @@ SHA = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 TOML = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
 
 [compat]
-AbstractAlgebra = "0.44.2"
+AbstractAlgebra = "0.44.8"
 FLINT_jll = "^300.100.100"
 Libdl = "1.6"
 LinearAlgebra = "1.6"
diff --git a/src/flint/fmpz.jl b/src/flint/fmpz.jl
index 2680eeca0..f487809a9 100644
--- a/src/flint/fmpz.jl
+++ b/src/flint/fmpz.jl
@@ -425,12 +425,16 @@ function divexact(x::ZZRingElem, y::ZZRingElem; check::Bool=true)
   return z
 end
 
-function divides(x::ZZRingElem, y::ZZRingElem)
-  z = ZZRingElem()
+function AbstractAlgebra.divides!(z::ZZRingElem, x::ZZRingElem, y::ZZRingElem)
   res = @ccall libflint.fmpz_divides(z::Ref{ZZRingElem}, x::Ref{ZZRingElem}, y::Ref{ZZRingElem})::Bool
   return res, z
 end
 
+function AbstractAlgebra.divides(x::ZZRingElem, y::ZZRingElem)
+  z = ZZRingElem()
+  return divides!(z, x, y)
+end
+
 divides(x::ZZRingElem, y::Integer) = divides(x, ZZRingElem(y))
 
 @doc raw"""
diff --git a/src/flint/fq_default.jl b/src/flint/fq_default.jl
index 305837b42..06dd43738 100644
--- a/src/flint/fq_default.jl
+++ b/src/flint/fq_default.jl
@@ -601,21 +601,25 @@ end
 function set!(z::FqFieldElem, a::FqFieldElemOrPtr)
   @ccall libflint.fq_default_set(z::Ref{FqFieldElem}, a::Ref{FqFieldElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::Int)
   @ccall libflint.fq_default_set_si(z::Ref{FqFieldElem}, a::Int, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::UInt)
   @ccall libflint.fq_default_set_ui(z::Ref{FqFieldElem}, a::UInt, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::ZZRingElemOrPtr)
   @ccall libflint.fq_default_set_fmpz(z::Ref{FqFieldElem}, a::Ref{ZZRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 set!(z::FqFieldElem, a::Integer) = set!(z, flintify(a))
@@ -623,26 +627,31 @@ set!(z::FqFieldElem, a::Integer) = set!(z, flintify(a))
 function set!(z::FqFieldElem, a::ZZPolyRingElemOrPtr)
   @ccall libflint.fq_default_set_fmpz_poly(z::Ref{FqFieldElem}, a::Ref{ZZPolyRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::zzModPolyRingElemOrPtr)
   @ccall libflint.fq_default_set_nmod_poly(z::Ref{FqFieldElem}, a::Ref{zzModPolyRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::fpPolyRingElemOrPtr)
   @ccall libflint.fq_default_set_nmod_poly(z::Ref{FqFieldElem}, a::Ref{fpPolyRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::ZZModPolyRingElemOrPtr)
   @ccall libflint.fq_default_set_fmpz_mod_poly(z::Ref{FqFieldElem}, a::Ref{ZZModPolyRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 function set!(z::FqFieldElem, a::FpPolyRingElemOrPtr)
   @ccall libflint.fq_default_set_fmpz_mod_poly(z::Ref{FqFieldElem}, a::Ref{FpPolyRingElem}, parent(z)::Ref{FqField})::Nothing
   z.poly = nothing
+  return z
 end
 
 #