[en] With the discovery of some hidden-charm pentaquark resonances by the LHCb Collaboration, investigations of pentaquark states containing heavy quarks have aroused the interest of theorists. We study herein $qqq\stackrel{¯<!--\; ??\; -->}{q}Q$ (q = u or d, Q=c or b) pentaquark system, in the framework of the chiral quark model. In consequence, some charmed and bottomed pentaquarks are considered to exist by five-body dynamical calculations. In the charm sector, ${\mathrm{\Sigma <!--\; ??\; -->}}_c\mathrm{\pi <!--\; ??\; -->}(I{J}^P=0{\frac{1}{2}}^{-<!--\; ???\; -->})$ and ${\mathrm{\Sigma <!--\; ??\; -->}}_c^{\ast <!--\; ???\; -->}\mathrm{\pi <!--\; ??\; -->}(I{J}^P=0{\frac{3}{2}}^{-<!--\; ???\; -->})$ are possible candidates of ${\mathrm{\Lambda <!--\; ??\; -->}}_c$(2595) and ${\mathrm{\Lambda <!--\; ??\; -->}}_c$(2625), respectively. Besides, two high-spin states, ${\mathrm{\Sigma <!--\; ??\; -->}}_c^{\ast <!--\; ???\; -->}\mathrm{\rho <!--\; ??\; -->}(I{J}^P=0{\frac{5}{2}}^{-<!--\; ???\; -->})$ and $\mathrm{\Delta <!--\; ??\; -->}{D}^{\ast <!--\; ???\; -->}(I{J}^P=1{\frac{5}{2}}^{-<!--\; ???\; -->})$, are also found in the energy region of 3.2 ∼ 3.3 GeV. In the bottom sector, ${\mathrm{\Sigma <!--\; ??\; -->}}_b\mathrm{\pi <!--\; ??\; -->}(I{J}^P=0{\frac{1}{2}}^{-<!--\; ???\; -->})$, ${\mathrm{\Sigma <!--\; ??\; -->}}_b^{\ast <!--\; ???\; -->}\mathrm{\pi <!--\; ??\; -->}(I{J}^P=0{\frac{3}{2}}^{-<!--\; ???\; -->})$ could be candidates of ${\mathrm{\Lambda <!--\; ??\; -->}}_b$(5912) and ${\mathrm{\Lambda <!--\; ??\; -->}}_b$(5920), respectively. And ${\mathrm{\Sigma <!--\; ??\; -->}}_b^{\ast <!--\; ???\; -->}\mathrm{\rho <!--\; ??\; -->}(I{J}^P=0{\frac{5}{2}}^{-<!--\; ???\; -->})$ and $\mathrm{\Delta <!--\; ??\; -->}{B}^{\ast <!--\; ???\; -->}(I{J}^P=1{\frac{5}{2}}^{-<!--\; ???\; -->})$ are found in the energy regionof 6.5 ∼ 6.6 GeV. ${\mathrm{\Sigma <!--\; ??\; -->}}_c^{(\ast <!--\; ???\; -->)}\mathrm{\pi <!--\; ??\; -->}$ and ${\mathrm{\Sigma <!--\; ??\; -->}}_b^{(\ast <!--\; ???\; -->)}\mathrm{\pi <!--\; ??\; -->}$ are expected as compact states, while ${\mathrm{\Sigma <!--\; ??\; -->}}_c^{\ast <!--\; ???\; -->}\mathrm{\rho <!--\; ??\; -->}$, ${\mathrm{\Sigma <!--\; ??\; -->}}_b^{\ast <!--\; ???\; -->}\mathrm{\rho <!--\; ??\; -->}$, $\mathrm{\Delta <!--\; ??\; -->}{D}^{\ast <!--\; ???\; -->}$ and $\mathrm{\Delta <!--\; ??\; -->}{B}^{\ast <!--\; ???\; -->}$ are expected as molecular states.