Key Inclusion Criteria:

          -  Confirmed diagnosis of metastatic treatment-resistant ovarian cancer (including
             cancers of the fallopian tube), pancreatic adenocarcinoma, hormone receptor
             (HR)-negative and HER2-negative (triple negative) breast cancer (TNBC) or non-small
             cell lung cancer (NSCLC), or relapsed/refractory multiple myeloma

          -  Eastern Cooperative Oncology Group (ECOG) score of 0 or 1

          -  Prior therapies as defined by tumor type:

               -  Multiple myeloma: relapsed or refractory disease previously treated with or
                  intolerant to at least three different lines of therapy that contained at least
                  one of the following drug classes: proteasome inhibitor, an immune modulatory
                  drug, alkylators, CD38 monoclonal antibody and glucocorticoids. Patients must be
                  at least 90 days since autologous stem cell transplant

               -  NSCLC: i.) Patients without driver mutations must have received standard therapy,
                  including both checkpoint inhibition and platinum-based chemotherapy or be
                  intolerant of these standard therapies ii.) Patients with driver mutations must
                  have received or be intolerant to prior targeted therapy directed at the specific
                  identified mutations in addition to the standard chemotherapy classes

               -  Pancreatic adenocarcinoma: disease progression following at least one standard of
                  care systemic chemotherapy for metastatic or unresectable disease or be
                  intolerant of these standard therapies

               -  TNBC: ER and/or PR < or =10%, HER2 negative and experienced disease progression
                  following at least one prior systemic anti-cancer therapy regimen as part of
                  their treatment for management of metastatic breast cancer or be intolerant to
                  these standard therapies

               -  Ovarian: platinum-resistant (progression of disease by either CA-125, clinical or
                  radiographic assessment within 6 months of last platinum-based chemotherapy ) and
                  must have received at least two prior lines of therapy for metastatic ovarian
                  cancer, including at least one prior line of therapy including a
                  platinum-containing regimen or be intolerant of these standard therapies

          -  Evaluable disease as defined by tumor type

          -  TnMUC1+ disease, determined by centrally tested TnMUC1 expression in a prior or
             archival tumor biopsy

          -  Toxicities from any previous therapy must have recovered to Grade 1 or baseline

          -  Estimated estimated glomerular filtration rate ≥ 60 m/min by Modification of Diet in
             Renal Disease criteria

          -  Aspartate aminotransferase (AST) or alanine aminotransferase (ALT) ≤ 2.5 x upper
             institutional limit of normal with the following exception: Patients with known
             hepatic metastases, AST or ALT ≤ 3 x upper institutional limit of normal

          -  Serum total bilirubin < 1.5 mg/dL with the following exception: patients with known
             Gilbert's disease, serum total bilirubin < 3 mg/dL

          -  Serum albumin ≥ 3.0 g/dL (solid tumor patients in Arm 1 and Phase 1a only, not
             applicable to patients with multiple myeloma)

          -  Left ventricular ejection fraction (LVEF) ≥ 50%. LVEF assessment must have been
             performed within 6 months of treatment start

          -  Hemoglobin ≥ 8 g/dL

          -  Absolute neutrophil count ≥ 1000/μL

          -  Platelet count ≥ 75,000/μL (for Multiple Myeloma patients with bone marrow plasma
             cells ≥ 50% of cellularity: ≥ 30,000/μL)

          -  Patients of reproductive potential agree to use approved contraceptive methods per
             protocol

        Key Exclusion Criteria:

          -  Active invasive cancer other than the proposed cancers included in the study

          -  Current treatment with systemic high-dose corticosteroids (defined as a dose greater
             than the equivalent of prednisone 10 mg/day)

          -  Active autoimmune disease (including connective tissue disease, uveitis, sarcoidosis,
             inflammatory bowel disease or multiple sclerosis) or have a history of severe
             autoimmune disease requiring prolonged immunosuppressive therapy (any
             immunosuppressive therapy should have been stopped within 6 weeks prior to screening
             visit)

          -  Current human immunodeficiency virus (HIV), hepatitis C virus (HCV), hepatitis B virus
             (HBV) infections

          -  Other active or uncontrolled medical or psychiatric condition that would preclude
             participation in the opinion of the Sponsor or Principal Investigator

          -  Prior allogeneic stem cell transplant

          -  Active and untreated central nervous system (CNS) malignancy

          -  History of severe infusion reaction to monoclonal antibodies or biological therapies,
             or to study product excipients that would preclude the patient safely receiving
             CART-TnMUC1 cells

          -  Active or recent (within the past 6 months prior to apheresis) cardiovascular disease,
             defined as (1) New York Heart Association (NYHA) Class III or IV heart failure, (2)
             unstable angina or (3) a history of recent (within 6 months) myocardial infarction or
             sustained (> 30 second) ventricular tachyarrhythmias, or (4) cerebrovascular accident

          -  Have inadequate venous access for or contraindications for the apheresis procedure

          -  Pregnant or breastfeeding women