diff --git a/modin/core/storage_formats/pandas/query_compiler.py b/modin/core/storage_formats/pandas/query_compiler.py
index 7efcb9cc47b..cd0e59ca56f 100644
--- a/modin/core/storage_formats/pandas/query_compiler.py
+++ b/modin/core/storage_formats/pandas/query_compiler.py
@@ -399,9 +399,6 @@ def get_axis_len(self, axis: Literal[0, 1]) -> int:
         """
         Return the length of the specified axis.
 
-        A query compiler may choose to override this method if it has a more efficient way
-        of computing the length of an axis without materializing it.
-
         Parameters
         ----------
         axis : {0, 1}
diff --git a/modin/pandas/dataframe.py b/modin/pandas/dataframe.py
index ef7899070b8..e90837a3b6d 100644
--- a/modin/pandas/dataframe.py
+++ b/modin/pandas/dataframe.py
@@ -782,7 +782,7 @@ def dot(self, other) -> Union[DataFrame, Series]:  # noqa: PR01, RT01, D200
         if isinstance(other, BasePandasDataset):
             common = self.columns.union(other.index)
             if len(common) > self._query_compiler.get_axis_len(1) or len(common) > len(
-                other.index
+                other
             ):
                 raise ValueError("Matrices are not aligned")
 
@@ -1121,13 +1121,10 @@ def insert(
                 )
             if allow_duplicates is not True and column in self.columns:
                 raise ValueError(f"cannot insert {column}, already exists")
-            if (
-                not -self._query_compiler.get_axis_len(1)
-                <= loc
-                <= self._query_compiler.get_axis_len(1)
-            ):
+            columns_len = self._query_compiler.get_axis_len(1)
+            if not -columns_len <= loc <= columns_len:
                 raise IndexError(
-                    f"index {loc} is out of bounds for axis 0 with size {self._query_compiler.get_axis_len(1)}"
+                    f"index {loc} is out of bounds for axis 0 with size {columns_len}"
                 )
             elif loc < 0:
                 raise ValueError("unbounded slice")
diff --git a/modin/pandas/series.py b/modin/pandas/series.py
index 42b664a6ada..11188e85879 100644
--- a/modin/pandas/series.py
+++ b/modin/pandas/series.py
@@ -966,7 +966,7 @@ def dot(self, other) -> Union[Series, np.ndarray]:  # noqa: PR01, RT01, D200
         """
         if isinstance(other, BasePandasDataset):
             common = self.index.union(other.index)
-            if len(common) > len(self) or len(common) > len(other.index):
+            if len(common) > len(self) or len(common) > len(other):
                 raise ValueError("Matrices are not aligned")
 
             qc = other.reindex(index=common)._query_compiler