Let $B$ be the answer to problem 14, and let $C$ be the answer to problem 15. A quadratic function $f(x)$ has two real roots that sum to 210 + 4. After translating the graph of $f(x)$ left by $B$ units and down by $C$ units, the new quadratic function also has two real roots. Find the sum of the two real roots of the new quadratic function.