code: def test_XXM_det_QQ(DM):
      dM1 = DM([[(1, 2), (2, 3)], [(3, 4), (4, 5)]])
      assert dM1.det() == QQ(-1, 10)
  
imports: from sympy.external.gmpy import GROUND_TYPES
  from sympy import ZZ, QQ, GF, ZZ_I, symbols
  from sympy.polys.matrices.exceptions import DMBadInputError, DMDomainError, DMNonSquareMatrixError, DMNonInvertibleMatrixError, DMShapeError
  from sympy.polys.matrices.domainmatrix import DM, DomainMatrix, DDM, SDM, DFM
  from sympy.testing.pytest import raises, skip
  import pytest
label_desc: Use image node_id 53 for calling a global function with example usage: test_XXM_det_QQ(DM) without return types