using System;
using System.Linq;
 
public class Test
{
	public static void Main()
	{
            var path = "qwerty-qwerty-some-random-string";
            var root = "aardvark-junk-qwerty-qwerty";
 
            var prefix = root.Select((ch, i) => root.Substring(i))
                             .Where(pref => path.StartsWith(pref))
                             .DefaultIfEmpty("")
                             .First();
            var result = path.Substring(prefix.Length);
 
            Console.WriteLine(result);	
	}
}

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