We report the detection of luminous CO(J = 2→1), CO(J = 3→2), and CO(J = 4→3) emission in the strongly lensed high-redshift quasars B1938+666 (z = 2.059), HE 0230−2130 (z = 2.166), HE 1104−1805 (z = 2.322), and B1359+154 (z = 3.240), using the Combined Array for Research in Millimeter-wave Astronomy. B1938+666 was identified in a "blind" CO redshift search, demonstrating the feasibility of such investigations with millimeter interferometers. These galaxies are lensing-amplified by factors of μ L 11-170, and thus allow us to probe the molecular gas in intrinsically fainter galaxies than currently possible without the aid of gravitational lensing. We report lensing-corrected intrinsic CO line luminosities of L CO = 0.65-21×10 9 K km s −1 pc 2 , translating to H 2 masses of M(H 2 ) = 0.52-17 × 10 9 (α CO /0.8) M . To investigate whether or not the active galactic nucleus (AGN) in luminous quasars substantially contributes to L FIR , we study the L CO -L FIR relation for quasars relative to galaxies without a luminous AGN as a function of redshift. We find no substantial differences between submillimeter galaxies and high-z quasars, but marginal evidence for an excess in L FIR in nearby low-L FIR AGN galaxies. This may suggest that an AGN contribution to L FIR is significant in systems with relatively low gas and dust content, but only minor in the most far-infrared-luminous galaxies (in which L FIR is dominated by star formation).