Patients are stratified according to baseline neuropathy (none vs grade 1), debulked status (no gross residual disease [no clinically apparent residual lesions at the completion of primary surgery] vs optimal [largest residual lesion < 1 cm at primary surgery] vs sub-optimally debulked [residual lesion > 1 cm] or not operated upon), and cancer type (ovarian/fallopian tube/primary peritoneal cancers vs lung cancer vs other). Patients are randomized to 1 of 2 treatment arms. Patients are grouped based on, Planned paclitaxel dose cycle length (Weekly vs. every 3 weeks vs. every 4 weeks). The stratification factors listed include demographic, prognostic factors and medication that can potentially impact the primary or secondary outcomes, so they need to be distributed evenly among the two arms. The 18 level combinations involved in these four stratification factors are within the maximum recommended of one half of the group sample size for the study.