Inclusion Criteria:

- Has a histologically or cytologically documented advanced solid tumor or lymphoma
that has relapsed from or is refractory to standard treatment, or for which no
standard treatment is available. Subjects with melanoma who are ineligible to receive
or have declined ipilimumab treatment, or who are refractory or intolerant to
ipilimumab may enroll.

- Man or woman >= 18 years old.

- Has an Eastern Cooperative Oncology Group (ECOG) performance status 0-1.

- Has adequate bone marrow function, defined as:

Platelet count >= 100 x 109/L Hemoglobin >= 9.0 g/dL Absolute neutrophil count >= 1.5 x
109/L.

- Has adequate renal function, defined as: Creatinine clearance >= 60 mL/min, as
calculated using the modified Cockcroft Gault equation, ([{140 - age in years} × {actual
weight in kg}] divided by [{72 × serum creatinine in mg/dL} multiply by 0.85 if female]),
OR creatinine =< 1.5 x ULN.

- Has adequate hepatic function, defined as: AST/ALT levels =< 3 x ULN (if liver
metastases are present, =< 5 x ULN) Bilirubin =< 1.5 x ULN.

- Has adequate blood clotting function, defined as: International normalized ratio (INR)
and activated partial thromboplastin time (aPTT) =< 1.5 x ULN.

- Subject should be able to provide written informed consent, comply with protocol
visits and procedures, be able to take oral medication, and not have any active
infection or comorbidity that would interfere with therapy.

- Subject (male and female) of childbearing/reproductive potential must agree to use
double-barrier contraceptive measures or avoid intercourse during the study and for
90 days after the last dose of study drug.

- Subject must be fully informed about their illness and the investigational nature of
the study protocol (including foreseeable risks and possible side effects) and must
sign and date an IRB [Institutional Review Board]-approved Informed consent Form
[ICF] (including Health Insurance Portability and Accountability Act authorization,
if applicable) before performance of any study specific procedures or tests.

- Is willing to provide and there is confirmed availability of pre-existing diagnostic
or resected tumor samples, such as paraffin-embedded sections. Providing fresh tumor
biopsy is optional for subjects in Dose Escalation cohorts.

- Is willing to undergo tumor genotyping for TP53 mutation, insertion, or deletion at
screening. Confirmation of TP53 nonmutant status is encouraged, but not required
prior to DS-3032b dosing.

- Is willing to provide additional archived samples for comprehensive genomic and/or
proteomic analyses if the subject has a partial response/complete response to
DS-3032b treatment.

Exclusion Criteria:

- Has a tumor that contains a nonsynonymous mutation, insertion, or deletion in the
TP53 gene determined previously or at screening.

- Has a history of primary central nervous system malignancy.

- Has gastrointestinal conditions that could affect the absorption of DS-3032b in the
opinion of the Investigator.

- Has an uncontrolled infection requiring intravenous antibiotics, antivirals, or
antifungals, known human immunodeficiency virus infection, or active hepatitis B or C
infection.

- Has received an allogeneic bone marrow or allogeneic stem cell transplant.

- Has a concomitant medical condition that would increase the risk of toxicity, in the
opinion of the Investigator or Sponsor.

- Has clinically active brain metastases, defined as untreated and symptomatic, or
requiring therapy with steroids or anticonvulsants to control associated symptoms.
Subjects with treated brain metastases that are no longer symptomatic and who require
no treatment with steroids may be included in the study if they have recovered from
the acute toxic effect of radiotherapy. A minimum of 4 weeks must have elapsed
between the end of whole brain radiotherapy and study enrollment (2 weeks for
stereotactic radiotherapy).

- Has unresolved toxicities from previous anticancer therapy, defined as toxicities
(other than alopecia) not yet resolved to NCI-CTCAE v4, grade =< 1 or baseline.
Subjects with chronic grade 2 toxicities may be eligible per the discretion of the
Investigator and Sponsor (eg, grade 2 chemotherapy-induced neuropathy).

- Had an autologous transplant within 3 months of starting study drug treatment.

- Is receiving concomitant treatment with a strong inhibitor or inducer of CYP3A4/5.

- Had systemic treatment with anticancer therapy, antibody-based therapy, retinoid
therapy, or hormonal therapy within 3 weeks before study drug treatment; or treatment
with nitrosoureas or mitomycin C within 6 weeks before study drug treatment; or
treatment with small-molecule targeted agents within 2 weeks before study drug
treatment. Previous and concurrent use of hormone replacement therapy, the use of
gonadotropin releasing hormone modulators for prostate cancer, and the use of
somatostatin analogs for neuroendocrine tumors are permitted if such therapy has not
been changed within 8 weeks before study drug treatment.

- Had therapeutic radiation therapy or major surgery within 4 weeks before study drug
treatment or palliative radiation therapy within 2 weeks before study drug treatment.

- Participated in a therapeutic clinical study within 3 weeks before study drug
treatment, or current participation in other therapeutic investigational procedures.

- Prolongation of corrected QT interval by Fridericia's method (QTcF) at rest, where
the mean QTcF interval is > 450 milliseconds (ms) for males and > 470 ms for females
based on triplicate ECG.

- Pregnant or breastfeeding.

- Substance abuse or medical, psychological, or social conditions that, in the opinion
of the Investigator, may interfere with the subject's participation in the clinical
study or evaluation of the clinical study results.

- Prior treatment with an MDM2 inhibitor.