<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def build_sample_ace_problem_breiman85(N=200):
 """Sample problem from Breiman 1985."""

    x_cubed = numpy.random.standard_normal(N)
    x = scipy.special.cbrt(x_cubed)
    noise = numpy.random.standard_normal(N)
    y = numpy.exp((x ** 3.0) + noise)
    return [x], y