CCI-779 in Treating Patients With Soft Tissue Sarcoma or Gastrointestinal Stromal Tumor

Inclusion Criteria:

* Histologically or cytologic confirmed soft tissue sarcoma
* Measurable disease; for patients having only lesions measuring at least 1 cm to less than 2 cm, must use spiral CT imaging for both pre- and post-treatment tumor assessments
* Absolute neutrophil count (ANC) \>= 1,500/μL
* Platelets (PLTS) \>= 100,000/μL
* Hgb \>= 10.0 g/dL
* Direct bilirubin =\< 1.5 x ULN (upper limit normal)
* AST(SGOT) =\< 2.5 x ULN or =\< 5 x ULN\* if liver metastases are present
* ALT(SGPT) =\< 2.5 x ULN or =\< 5 x ULN\* if liver metastases are present
* Creatinine =\< 1.5 x ULN, or if greater, creatinine clearance \>= 50 mL/min/1.73 m\^2
* Baseline glucose levels
* Fasting serum cholesterol =\< 350 mg/dL (9.0 mmol/L)
* Fasting triglycerides =\< 400 mg/dL (4.56 mmol/L)
* ECOG Performance Status (PS) 0, 1 or 2
* Life expectancy \>= 12 weeks
* Capable of understanding the investigational nature, potential risks and benefits of the study, and able to provide valid informed consent

Exclusion Criteria:

* Any of the following as this regimen may be harmful to a developing fetus or nursing child:

  * Pregnant women
  * Breast-feeding women
  * Men or women of childbearing potential or their sexual partners who are unwilling to employ adequate contraception ( diaphragm, birth control pills, injections, intrauterine device \[IUD\], surgical sterilization, subcutaneous implants, or abstinence, etc.)
* Any of the following:

  * Nitrosoureas or mitomycin =\< 6 weeks prior to study entry
  * Other chemotherapy =\< 4 weeks prior to study entry
  * Radiotherapy =\< 4 weeks prior to study entry
  * Concurrent use of any other investigation agent
  * Adverse events due to agents administered =\< 4 weeks prior to study entry
* History of allergic reactions attributed to compounds of similar chemical or biologic composition to CCI-779
* Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, diabetes, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements
* Known HIV-positive patients receiving combination anti-retroviral therapy
* Prior chemotherapy for metastatic disease

  * Exceptions:

    * Patients with GIST who fail Gleevec are eligible
    * Patients who have had adjuvant/neoadjuvant chemotherapy are also eligible
* Known brain metastases

  * Exception: Patients with treated brain metastatic disease with stable symptoms after treatment for \>= 1 month