diff --git a/src/promote.jl b/src/promote.jl
index f739611..e01a9a9 100644
--- a/src/promote.jl
+++ b/src/promote.jl
@@ -42,6 +42,30 @@ function SA.promote_with_map(
     return Polynomial{V,M,T}(copy(p.a), new_x), map
 end
 
+function MP.promote_rule_constant(
+    ::Type{Any},
+    ::Type{<:DMonomialLike{V,M}},
+) where {V,M}
+    return Any
+end
+function MP.promote_rule_constant(
+    ::Type{Any},
+    ::Type{_Term{V,M,T}},
+) where {V,M,T}
+    return Any
+end
+function MP.promote_rule_constant(
+    ::Type{Any},
+    ::Type{_Term{V,M,T}},
+) where {V,M,T}
+    return Any
+end
+function MP.promote_rule_constant(
+    ::Type{Any},
+    ::Type{<:TermPoly{V,M,T}},
+) where {V,M,T}
+    return Any
+end
 function MP.promote_rule_constant(
     ::Type{T},
     ::Type{<:DMonomialLike{V,M}},
diff --git a/test/runtests.jl b/test/runtests.jl
index 36f20ea..9ff257a 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -91,4 +91,11 @@ import DynamicPolynomials
 end
 end
 
+@testset "Issue #166: promote_operation with Any" begin
+    DynamicPolynomials.@polyvar x
+    V = typeof(x)
+    @test promote_type(V, Any) == Any
+    @test promote_type(typeof(x/2), Any) == Any
+end
+
 include("mvp.jl")