A ridiculous problem I remember seeing was approximately this one:

  a/(b+c) + b/(a+c) + c/(a+b)=896.
  a,b,c positive integers

I think it probably used random symbols instead of letters and didn’t have the integer requirement. Indeed if you allow real numbers or 0 then it is easy to find a solution. I think it didn’t go particularly viral because it was too hard. I think there’s a slightly easier version if you replace 896 by 16.