code: def clear_coefficients(expr, rhs=S.Zero):
      """Return `p, r` where `p` is the expression obtained when Rational
      additive and multiplicative coefficients of `expr` have been stripped
      away in a naive fashion (i.e. without simplification). The operations
      needed to remove the coefficients will be applied to `rhs` and returned
      as `r`.
  
      Examples
      ========
  
      >>> from sympy.simplify.simplify import clear_coefficients
      >>> from sympy.abc import x, y
      >>> from sympy import Dummy
      >>> expr = 4*y*(6*x + 3)
      >>> clear_coefficients(expr - 2)
      (y*(2*x + 1), 1/6)
  
      When solving 2 or more expressions like `expr = a`,
      `expr = b`, etc..., it is advantageous to provide a Dummy symbol
      for `rhs` and  simply replace it with `a`, `b`, etc... in `r`.
  
      >>> rhs = Dummy('rhs')
      >>> clear_coefficients(expr, rhs)
      (y*(2*x + 1), _rhs/12)
      >>> _[1].subs(rhs, 2)
      1/6
      """
      was = None
      free = expr.free_symbols
      if expr.is_Rational:
          return (S.Zero, rhs - expr)
      while expr and was != expr:
          was = expr
          m, expr = (
              expr.as_content_primitive()
              if free
              else factor_terms(expr).as_coeff_Mul(rational=True)
          )
          rhs /= m
          c, expr = expr.as_coeff_Add(rational=True)
          rhs -= c
      expr = signsimp(expr, evaluate=False)
      if expr.could_extract_minus_sign():
          expr = -expr
          rhs = -rhs
      return expr, rhs
  
imports: from collections import defaultdict
  from sympy.concrete.products import Product
  from sympy.concrete.summations import Sum
  from sympy.core import Basic, S, Add, Mul, Pow, Symbol, sympify, expand_func, Function, Dummy, Expr, factor_terms, expand_power_exp, Eq
  from sympy.core.exprtools import factor_nc
  from sympy.core.parameters import global_parameters
  from sympy.core.function import expand_log, count_ops, _mexpand, nfloat, expand_mul, expand
  from sympy.core.numbers import Float, I, pi, Rational
  from sympy.core.relational import Relational
  from sympy.core.rules import Transform
  from sympy.core.sorting import ordered
  from sympy.core.sympify import _sympify
  from sympy.core.traversal import bottom_up, walk
  from sympy.functions import gamma, exp, sqrt, log, exp_polar, re
  from sympy.functions.combinatorial.factorials import CombinatorialFunction
  from sympy.functions.elementary.complexes import unpolarify, Abs, sign
  from sympy.functions.elementary.exponential import ExpBase
  from sympy.functions.elementary.hyperbolic import HyperbolicFunction
  from sympy.functions.elementary.integers import ceiling
  from sympy.functions.elementary.piecewise import Piecewise, piecewise_fold, piecewise_simplify
  from sympy.functions.elementary.trigonometric import TrigonometricFunction
  from sympy.functions.special.bessel import BesselBase, besselj, besseli, besselk, bessely, jn
  from sympy.functions.special.tensor_functions import KroneckerDelta
  from sympy.integrals.integrals import Integral
  from sympy.matrices.expressions import MatrixExpr, MatAdd, MatMul, MatPow, MatrixSymbol
  from sympy.polys import together, cancel, factor
  from sympy.polys.numberfields.minpoly import _is_sum_surds, _minimal_polynomial_sq
  from sympy.simplify.combsimp import combsimp
  from sympy.simplify.cse_opts import sub_pre, sub_post
  from sympy.simplify.hyperexpand import hyperexpand
  from sympy.simplify.powsimp import powsimp
  from sympy.simplify.radsimp import radsimp, fraction, collect_abs
  from sympy.simplify.sqrtdenest import sqrtdenest
  from sympy.simplify.trigsimp import trigsimp, exptrigsimp
  from sympy.utilities.decorator import deprecated
  from sympy.utilities.iterables import has_variety, sift, subsets, iterable
  from sympy.utilities.misc import as_int
  import mpmath
label_desc: Use image node_id 23 for calling a global function with example usage: clear_coefficients(expr, rhs) and returns: expr,  rhs, S,  unknown