code: def dmp_eval_tail(f, A, u, K):
      """
      Evaluate a polynomial at ``x_j = a_j, ...`` in ``K[X]``.
  
      Examples
      ========
  
      >>> from sympy.polys import ring, ZZ
      >>> R, x,y = ring("x,y", ZZ)
  
      >>> f = 2*x*y + 3*x + y + 2
  
      >>> R.dmp_eval_tail(f, [2])
      7*x + 4
      >>> R.dmp_eval_tail(f, [2, 2])
      18
  
      """
      if not A:
          return f
  
      if dmp_zero_p(f, u):
          return dmp_zero(u - len(A))
  
      e = _rec_eval_tail(f, 0, A, u, K)
  
      if u == len(A) - 1:
          return e
      else:
          return dmp_strip(e, u - len(A))
  
imports: from sympy.polys.densearith import dup_add_term, dmp_add_term, dup_lshift, dup_add, dmp_add, dup_sub, dmp_sub, dup_mul, dmp_mul, dup_sqr, dup_div, dup_rem, dmp_rem, dmp_expand, dup_mul_ground, dmp_mul_ground, dup_quo_ground, dmp_quo_ground, dup_exquo_ground, dmp_exquo_ground
  from sympy.polys.densebasic import dup_strip, dmp_strip, dup_convert, dmp_convert, dup_degree, dmp_degree, dmp_to_dict, dmp_from_dict, dup_LC, dmp_LC, dmp_ground_LC, dup_TC, dmp_TC, dmp_zero, dmp_ground, dmp_zero_p, dup_to_raw_dict, dup_from_raw_dict, dmp_zeros
  from sympy.polys.polyerrors import MultivariatePolynomialError, DomainError
  from sympy.utilities import variations
  from math import ceil, log
label_desc: Use image node_id 14 for calling a global function with example usage: dmp_eval_tail(f, A, u, K) and returns: f, dmp_zero, e, dmp_strip