code: def stringify_terms(
      terms: List[List[int]], variable_names: List[str] = list("xyz")
  ) -> List[str]:
      """Formatting utility for multisets."""
  
      def stringify_power(index: int, degree: int) -> str:
          """Helper formatting utility for powers."""
          var = variable_names[index]
          if degree == 0:
              return ""
          if degree == 1:
              return var
          return f"{var}^{degree}"
  
      powers = get_powers(terms)
      return list(
          map(
              lambda _: "".join([stringify_power(*el) for el in _]),
              powers,
          )
      )
  
imports: from collections import defaultdict
  from dataclasses import dataclass, field
  from itertools import combinations_with_replacement, product
  import math
  from math import comb
  import numpy
  import numpy.typing
  import random
  import sympy
  from sympy import Symbol, Poly, diff
  from sympy.parsing.sympy_parser import standard_transformations, implicit_multiplication_application
  from typing import List, Optional, Tuple, Dict
  from helm.benchmark.adaptation.adapters.adapter_factory import ADAPT_GENERATION
  from helm.benchmark.adaptation.adapter_spec import AdapterSpec
  from helm.benchmark.window_services.tokenizer_service import TokenizerService
  from helm.common.authentication import Authentication
  from helm.proxy.services.server_service import ServerService
  from .scenario import Scenario, Instance, Reference, TRAIN_SPLIT, TEST_SPLIT, CORRECT_TAG, Input, Output
label_desc: Use image node_id 5 for calling a global function with example usage: stringify_terms(terms, variable_names) and returns: list, var, str, degree, str, var