Mathematica

Mathematica CloudDeploy APIFunction.

Local Time in city by Mathematica.

cityTime = 
  APIFunction[{"city" -> "City"}, ClockGauge[LocalTime[#city]] &, 
   "HTML"];
EmbedCode[CloudDeploy[cityTime]]

Local GeoGraphics in city by Mathematica.

cityL = APIFunction[{"city" -> "City"}, GeoGraphics[#city] &, 
   "HTML"];
EmbedCode[CloudDeploy[cityL]]

cityP = APIFunction[{"city" -> "City", 
    "province" -> "AdministrativeDivision"}, 
   GeoGraphics[{EdgeForm[Black], FaceForm[Red], Polygon[#province], 
      GeoMarker[#city]}, GeoScaleBar -> Automatic] &, "HTML"];
EmbedCode[CloudDeploy[cityP]]

FactorInteger

func = APIFunction[{"x" -> "Integer"}, FactorInteger[#x] &, "HTML"];
EmbedCode[CloudDeploy[func]]

Integrate

int = APIFunction[{"function" -> "Expression", 
    "variable" -> "Expression", "lowerLimit" -> "Real", 
    "upperLimit" -> "Real"}, 
   Integrate[#function, {#variable, #lowerLimit, #upperLimit}] &, 
   "HTML"];
EmbedCode[CloudDeploy[int]]

Factor

fac = APIFunction[{"polynomial" -> "Expression"}, 
   Factor[#polynomial] &, "HTML"];
EmbedCode[CloudDeploy[fac]]