The transport properties of the manganites La 1Ϫx Sn x MnO 3ϩ␦ with xϭ0.1-0.5 and of Fe-doped samples have been comprehensively studied using magnetoresistance measurements, 57 Fe and 119 Sn Mössbauer spectroscopy, and x-ray diffraction. At the Sn concentration xϭ0.5, La 0.5 Sn 0.5 MnO 3ϩ␦ , is a single phase. The manganites La 1Ϫx Sn x MnO 3ϩ␦ with xϽ0.5 consist of two phases, ABO 3 and A 2 B 2 O 7 ; the chemical formulas are LaMnO 3ϩ␦ and (La 0.5 Sn 0.5 ) 2 Mn 2 O 7 , respectively. The colossal magnetoresistance ͑CMR͒ in La 1Ϫx Sn x MnO 3ϩ␦ appears to have its origin in deficient La and/or Mn ions in the ABO 3 phase. Mössbauer spectra show that a superparamagnetic doublet exists from Tϭ250-77 K for the ABO 3 phase in the Fe-doped sample and may have superparamagneticlike spin clusters that lead to a low saturation field. Consequently, the CMR reaches 75% at an applied field of only 20 kOe for the Fe-doped sample; however, the same CMR requires fields as high as 70 kOe in the undoped La 0.7 Sn 0.3 MnO 3ϩ␦ sample. ͓S0163-1829͑99͒02437-6͔