LCL161 Plus Topotecan for Patients With Relapsed/Refractory Small Cell Lung Cancer and Select Gynecologic Malignancies

Inclusion Criteria: * Dose Escalation Portion: Must have histological diagnosis of relapsed/refractory SCLC or gynecological malignancy for which topotecan would be indicated. * Dose Expansion Portion: Must have histological diagnosis of relapsed/refractory SCLC or ovarian cancer for which topotecan would be indicated. * Patients must have evidence of recurrent epithelial ovarian, fallopian tube, or primary peritoneal cancer and must have previously received a platinum- / taxane-based chemotherapy regimen unless contraindicated. Only patients with platinum-resistant disease (recurrence \< 6 months after platinum-based chemotherapy) are eligible. * Patients with SCLC must have received platinum-based chemotherapy unless contraindicated. * Patients must provide written informed consent prior to any screening procedures. * Measurable or non-measurable (but evaluable) disease per Response Evaluation Criteria in Solid Tumors (RECIST) v1.1 (Eisenhauer et al. 2009) * Required baseline laboratory status: * Hemoglobin ≥90 g/L (9 g/dL) * Platelets ≥100 x 109/L (100,000/mm3) * Absolute neutrophil count (ANC) ≥1.5 x 109/L (1500/mm3) * Serum total bilirubin ≤1.5 x the upper limit of normal (ULN) (in patients with known Gilbert Syndrome, a total bilirubin ≤3.0 x ULN, with direct bilirubin ≤1.5 x ULN) * Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) ≤2.5 x the ULN, except for patients with tumor involvement of the liver who must have ALT and AST ≤5 x ULN * Creatinine clearance ≥ 50 mL/min, (measured by Cockcroft-Gault method): * Aged ≥18 years * Ability to swallow and retain oral medication * Eastern Cooperative Oncology Group (ECOG) Performance Status score of 0 or 1. * Life expectancy ≥12 weeks * Male patients with female partners of childbearing potential and female patients of childbearing potential are required to use two forms of acceptable contraception, including one barrier method, during their participation in the study and for 6 months following last dose of study drug. Male patients must also refrain from donating sperm during their participation in the study. * Ability to understand the nature of this study and comply with the study procedures and laboratory tests. Exclusion Criteria: * Patients with brain metastases may be enrolled if radiation and/or surgery have been completed and follow-up evaluation by computed tomography (CT) or magnetic resonance imaging (MRI) after 1 month demonstrates stable disease (SD), and the patient does not require corticosteroids or enzyme-inducing anti-epileptic medications for central nervous system disease. Patients with SCLC should have brain imaging performed within the last 2 months prior to study entry. * More than 3 prior cytotoxic chemotherapy regimens given in the metastatic setting. * Second-line ovarian cancer patients that are platinum-sensitive. * Most recent chemotherapy ≤21 days and unresolved toxicities National Cancer Institute Common Terminology Criteria for Adverse Events (NCI CTCAE v4.03 Grade ≥2 (except alopecia) * Use of an investigational drug ≤21 days or 5 half-lives (whichever is shorter) prior to the first dose of LCL161. For study drugs for which 5 half-lives is ≤21 days, a minimum of 14 days between termination of the study drug and administration of LCL161 is required * Impairment of gastrointestinal function or gastrointestinal disease that may alter absorption of oral medications * Major surgery ≤3 weeks or minor surgical procedures ≤7 days prior to study entry. No waiting is required following port-a-cath placement. * Patients who are currently receiving chronic (\>14 days) treatment with corticosteroids at a dose ≥10 mg of prednisone (or its glucocorticoid equivalent) per day, or any other chronic immunosuppressive treatment that cannot be discontinued prior to starting study drug * Patients who are currently receiving treatment with agents that are metabolized solely through cytochrome P450 (CYP) 3A4/5 (CYP3A4/5) and have a narrow therapeutic index or are strong CYP2C8 inhibitors; or are receiving treatment with agents that carry a risk for QT prolongation and are CYP3A substrates. Caution should be used in patients taking other CYP2C8- or CYP3A4/5-interacting agents. * New York Heart Association (NYHA) Class III or IV heart failure, uncontrolled angina, severe uncontrolled ventricular arrhythmias, or electrocardiographic evidence of acute ischemia or active conduction system abnormalities (see Appendix B), prolongation of the QTc interval to \>450 msec for males or \>470 msec for females on baseline electrocardiogram (ECG) per institutional standard or any of the following: * History or presence of ventricular tachyarrhythmia * Presence of unstable atrial fibrillation; patients with stable atrial fibrillation are eligible, provided they do not meet any of the other cardiac exclusion criteria. * Clinically significant resting bradycardia (\<50 bpm) * Angina pectoris or acute myocardial infarction ≤3 months prior to starting study drug * Other clinically significant heart disease (e.g., symptomatic congestive heart failure, uncontrolled arrhythmia or hypertension) * Patients who are pregnant (positive beta-human chorionic gonadotropin \[β-HCG\]) or breastfeeding. * Women of childbearing potential, defined as all women physiologically capable of becoming pregnant, unless they are using highly effective methods of contraception during dosing and for at least 6 months after study treatment. Highly effective methods include: * Total abstinence or * Male partner or female sterilization or * Combination of any two of the following (a+b or a+c or b+c): * Use of oral, injected, or implanted hormonal methods of contraception * Placement of an intrauterine device (IUD) or intrauterine system (IUS) * Barrier methods of contraception: condom for male partner or occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/vaginal suppository. Note: Postmenopausal women are allowed to participate in this study. Women are considered post-menopausal and not of childbearing potential if they have had 12 months of natural (spontaneous) amenorrhea with an appropriate clinical profile (e.g. age appropriate, history of vasomotor symptoms) or have had surgical bilateral oophorectomy (with or without hysterectomy) or tubal ligation at least 6 weeks ago. In the case of oophorectomy alone, a woman is considered to be not of childbearing potential only when her reproductive status has been confirmed by follow-up hormone level assessment. * Wide field radiotherapy (including therapeutic radioisotopes such as strontium 89) administered ≤28 days or limited field radiation for palliation ≤7 days prior to starting study drug or has not recovered from side effects of such therapy * Known diagnosis of human immunodeficiency virus, hepatitis B, or hepatitis C Psychological, familial, sociological, or geographical conditions that do not permit compliance with the protocol.