Apply mineral oil or commercial solvents to the construction adhesive.
Rub the oil with paper towels or rags to remove the wet, soft adhesive.
Apply more mineral oil or commercial solvents to the adhesive. Continue to rub with rags to remove more of the adhesive. Repeat the process of applying oil or solvent and rubbing until all the adhesive is removed.
Cut along the connection between the adhesive and the concrete using a razor knife or other sharp cutting tool.
Pry the adhesive away from the cement with the point of a screwdriver to create a working space to make cuts. Continue to cut and pry the adhesive until the bulk of the material in removed from the cement.
Apply light oils or solvents to the residual adhesive on the concrete. Allow the solvents or oil to soften the residual adhesive and scrape with the razor knife or sharpened putty knife. Repeat the oil or solvent and scraping process until the residue of the construction adhesive is removed from the cement.