Evaluation of the Safety and Tolerability of TAK-228 With TAK-117 and Paclitaxel in Advanced Solid Tumors

Inclusion Criteria:

* Male or female patients 18 years or older
* Patients must have a diagnosis of an advanced solid tumor malignancy and must be refractory to or intolerant of existing therapies known to provide a clinical benefit
* Eastern Cooperative Oncology Group (ECOG) performance status and/or other performance status of 0-2
* Female patients who:

  * Are postmenopausal for at least 1 year before the screening visit, OR
  * Are surgically sterile, OR
  * If they are of childbearing potential must have a negative pregnancy test and agree to practice one effective method of pregnancy prevention contraception and one additional effective (barrier) method, at the same time, from the time of signing the informed consent through 90 days (or longer as mandated by local labeling \[e.g., USPI, SmPC, etc.,\]) after the last dose of study drug, OR
  * Agree to practice true abstinence, when this is in line with the preferred and usual lifestyle of the patient. (Periodic abstinence \[e.g., calendar, ovulation, sympto- thermal and post ovulation methods\], withdrawal, spermicides only, and lactational amenorrhea are not acceptable methods of contraception. Female and male condoms should not be used together.)
* Male patients, even if surgically sterilized (i.e., status post-vasectomy), who:

  * Agree to practice highly effective barrier contraception during the entire study treatment period and through 120 days after the last dose of study drug, OR
  * Agree to practice true abstinence, when this is in line with the preferred and usual lifestyle of the patient. (Periodic abstinence \[e.g., calendar, ovulation, sympto- thermal and post ovulation methods for the female partner\], withdrawal, spermicides only, and lactational amenorrhea are not acceptable methods of contraception. Female and male condoms should not be used together.)
  * Agree not to donate sperm during the course of this study or within 120 days after receiving their last dose of study drug
* Screening clinical laboratory values as specified below:

  * Bone marrow reserve consistent with: absolute neutrophil count (ANC) ≥1.5 x 109/L; platelet count ≥100 x 109/L; hemoglobin ≥9 g/dL without transfusion within 1-week preceding study drug administration
  * Hepatic: total bilirubin ≤1.5 x upper limit of normal (ULN), transaminases (aspartate aminotransferase/serum glutamic oxaloacetic transaminase- AST/SGOT and alanine aminotransferase/serum glutamic pyruvic transaminase-ALT/SGPT) ≤2.5 x ULN (≤5 x ULN if liver metastases are present)
  * Renal: creatinine clearance ≥50 mL/min based either on Cockcroft-Gault estimate or based on urine collection (12 or 24 hour)
  * Metabolic: Glycosylated hemoglobin (HbA1c) \<7.0%, fasting serum glucose (≤ 130 mg/dL) and fasting triglycerides ≤300 mg/dL
* Ability to swallow oral medications
* Voluntary written consent must be given before performance of any study related procedure not part of standard medical care, with the understanding that the patient may withdraw consent at any time without prejudice to future medical care
* Patients who have a history of brain metastasis are eligible for the study provided that all the following criteria are met:

  * Brain metastases which have been treated
  * No evidence of disease progression for ≥3 months before the first dose of study drug
  * No hemorrhage after treatment
  * Off-treatment with dexamethasone for 4 weeks before administration of the first dose of TAK-228
  * No ongoing requirement for dexamethasone or anti-epileptic drugs

Exclusion Criteria:

* Active central nervous system (CNS) metastasis
* Other clinically significant co-morbidities, in the opinion of the investigators, such as uncontrolled pulmonary disease, active central nervous system disease, active infection, or any other condition that could compromise the patient's participation in the study
* Known human immunodeficiency virus infection
* Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection.
* Any serious medical or psychiatric illness that could, in the investigator's opinion, potentially interfere with the completion of treatment according to this protocol
* Diagnosed or treated for another malignancy within 2 years before administration of the first dose of study drug, or previously diagnosed with another malignancy and have any evidence of residual disease. Patients with non-melanoma skin cancer or carcinoma in situ of any type are not excluded if they have undergone complete resection.
* Breast feeding or pregnant
* Treatment with any investigational products within 30 days before the first dose of study drug
* Previous treatment with PI3K, AKT, dual PI3K/mTOR inhibitors, TORC1/2 inhibitors (prior treatment with everolimus is allowed)
* Manifestations of malabsorption due to prior gastrointestinal (GI) surgery, GI disease, or for an unknown reason that may alter the absorption of TAK-228. In addition, patients with small bowel or jejunal stomata are also excluded.