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Refer https://community.ptc.com/t5/PTC-Mathcad-Installation/How-and-from-Where-to-Download-Mathcad-PrimeTrial-or-Express/m-p/705185#M1 to request for Mathcad Express on new laptop.
You can also refer this link https://community.ptc.com/t5/PTC-Mathcad-Installation/All-About-Mathcad-Software-Installation/td-p/706433 for additional information