Temsirolimus, Carboplatin, and Paclitaxel in Treating Patients With Advanced Solid Tumors

Criteria: * Histologically confirmed solid tumors * Measurable or nonmeasurable disease: No serum tumor marker elevation as the only evidence of disease; Patients with ovarian or endometrial cancer must have measurable disease, defined as \>= 1 lesion \>= 20 mm by conventional techniques OR \>= 10 mm by spiral CT scan * Advanced disease; Refractory to standard therapy OR no standard therapy is available * Carboplatin and paclitaxel considered reasonable therapeutic option * No known brain metastases * ECOG performance status 0-1 * Life expectancy \>= 12 weeks * Absolute granulocyte count \>= 1,500/mm\^3 * Platelet count \>= 100,000/mm\^3 * Bilirubin =\< 1.5 times upper limit of normal (ULN) * AST and ALT =\< 3 times ULN (5 times ULN if documented liver metastases) * Fasting serum cholesterol =\< 9.0 mmol/L * Fasting triglycerides =\< 4.56 mmol/L * Creatinine normal OR creatinine clearance \>= 50 mL/min * Not pregnant or nursing * Negative pregnancy test * Fertile patients must use effective contraception * Accessible for treatment and follow up * No serious cardiovascular illness, including any of the following: myocardial infarction within the past 6 months, congestive heart failure (even if medically controlled), unstable angina, active cardiomyopathy, cardiac arrhythmia, uncontrolled hypertension * No preexisting sensory or motor neuropathy \>= grade 2 due to previous chemotherapy; Local or regional neurological findings related to previous injury or disease allowed * No hearing loss \>= grade 2 from any cause * No history of allergic reactions attributed to compounds of similar chemical or biological composition to temsirolimus * No serious illness or medical condition that would preclude study treatment including, but not limited to, any of the following: History of significant neurologic or psychiatric disorder that would impair the ability to obtain consent or limit study compliance, Active uncontrolled infection or nonhealing wounds, OR; * At least 4 weeks since prior radiotherapy (except low-dose, palliative radiotherapy) and recovered * At least 4 weeks since prior chemotherapy and recovered * No more than 2 prior chemotherapy regimens * Prior therapy with carboplatin and/or paclitaxel allowed provided the patient has no persistent related toxicity \>= grade 1 AND retreatment with the combination is clinically indicated (e.g., second-line therapy for ovarian cancer with \> 6-month treatment-free interval) * At least 21 days since prior major surgery and recovered * No prior mTOR inhibitor * No concurrent prophylactic hematopoietic colony-stimulating factors * No other concurrent anticancer therapy or investigational agents * Active peptic ulcer disease, Any other medical condition that might be aggravated by treatment