Study of Immune Response Modifier in the Treatment of Hematologic Malignancies

Subjects are eligible for the study if they meet all of the following Inclusion Criteria: * Diagnosis of one of the following hematologic malignancies not responding to at least 2 standard treatment regimens. Any criteria for persistent or recurrent disease acceptable, i.e. ≥5% blasts for acute leukemia. * acute lymphoblastic leukemia (ALL) * acute myeloid leukemia (AML) * non-Hodgkin's lymphoma (NHL) * Hodgkin's lymphoma (HL) * multiple myeloma (MM) * chronic lymphocytic leukemia (CLL) * Performance status - Karnofsky \> 50% for patients \> 10 years of age or Lansky \>50% for patients \< 10 year of age * Normal organ function within 14 days of study entry * If female and of childbearing potential, are willing to use adequate contraception (hormonal, barrier method, abstinence) prior to study entry and for the duration of study participation. A female is considered to be of childbearing potential unless she has had her uterus removed, had a double oophorectomy, or has been amenorrheic for at least 6 months after chemotherapy Exclusion Criteria: * Had/have the following prior/concurrent therapy: * Systemic corticosteroids (oral or injectable) within 7 days of first dose of 852A (topical or inhaled steroids are allowed) * Investigational drugs/agents within 14 days of first dose of 852A * Immunosuppressive therapy, including cytotoxic agents within 14 days of first dose of 852A (nitrosoureas within 30 days of first dose) * Drugs known to induce QT interval prolongation and/or induce Torsades De Pointes unless best available drug required to treat life-threatening conditions * Radiotherapy within 4 weeks of the first dose of 852A * Hematopoietic cell transplantation 4 weeks of first dose of 852A * Active infection or fever \> 38.5°C within 3 days of first dose of 852A * Cardiac ischemia, cardiac arrhythmias or congestive heart failure uncontrolled by medication * History of, or clinical evidence of, a condition which, in the opinion of the investigator, could confound the results of the study or put the subject at undue risk * Uncontrolled intercurrent or chronic illness * Active autoimmune disease requiring immunosuppressive therapy within 30 days * Active hepatitis B or C with evidence of ongoing viral replication * Hyperthyroidism * Uncontrolled seizure disorder * Active coagulation disorder not controlled with medication * Pregnant or lactating * Concurrent malignancy (if in remission, at least 5 years disease free) except for localized (in-situ) disease, basal carcinomas and cutaneous squamous cell carcinomas adequately treated * Proven active central nervous system (CNS) disease * Human Immunodeficiency Virus (HIV) positive * Congenital long QT syndrome or abnormal baseline QTc interval (\> 450 msec in males and \> 470 msec in females) after Bazett's correction (QTc msec = QT msec / square root of the RR interval in seconds) on screening electrocardiogram (ECG).