Eribulin Mesylate and Gemcitabine Hydrochloride in Treating Patients With Metastatic Solid Tumors or Solid Tumors That Cannot be Removed by Surgery

Inclusion Criteria: * Patients must have histologically confirmed malignancy that is metastatic or unresectable and for which standard curative antineoplastic drug treatments do not exist or are no longer effective: * Ovarian/Endometrial Expansion Cohort: Patients must have histologically or cytologically confirmed ovarian or endometrial malignancy that is metastatic or unresectable and for which standard curative antineoplastic drug treatments do not exist or are no longer effective * CHEMOTHERAPY: Patients may have had up to two prior chemotherapy regimens for advanced or metastatic incurable solid tumors; prior (neo) adjuvant chemotherapy is allowed and not considered among the maximum of two prior regimens; patients must have completed any prior chemotherapy at least 4 weeks prior to registration; prior treatment with gemcitabine is not allowed * Chemo Naïve/Minimally Pre-Treated Cohort: Patients may not have received any prior chemotherapy for metastatic disease; prior adjuvant chemotherapy is allowed; patients must have completed any prior chemotherapy at least 4 weeks prior to registration; prior treatment with gemcitabine is not allowed * RADIATION: patients may have received prior radiation, however this must have been completed at least 4 weeks prior to registration; patients must not have had more than 40% of their bone marrow irradiated and must have either measurable disease outside the field or progression post radiation therapy * SURGERY: patients may have had prior surgery; patients must be at least 4 weeks from any major surgery prior to registration on the study * Eastern Cooperative Oncology Group (ECOG) performance status (PS) =\< 2 (Karnofsky \>= 60%) * Life expectancy \> 3 months * Leukocytes \>= 3 x 10\^9/L * Absolute neutrophil count \>= 1.5 x 10\^9/L * Platelets \>= 100 x 10\^9/L * Total bilirubin within normal institutional limits * Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\])/alanine aminotransferase (ALT) (serum glutamic pyruvate transaminase \[SGPT\]) =\< 2.5 x institutional upper limit of normal * Creatinine clearance \>= 60 mL/min/1.73 m\^2 for patients with creatinine levels above institutional normal * Since cytochrome P450 (CYP)3A4 appears to be the major enzyme responsible for the human hepatic metabolism of E7389 in vitro, the concurrent use of inhibitors and inducers of CYP3A4 are prohibited during the study treatment period; concurrent use of CYP3A4 substrates are allowed, however, use caution and monitor the patient for potential drug interactions * The effects of E7389 on the developing human fetus are unknown; for this reason and because antitubulin agents as well as other therapeutic agents used in this trial are known to be teratogenic, women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation; should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately * Ability to understand and the willingness to sign a written informed consent document Exclusion Criteria: * Patients who have had chemotherapy, biologic therapy, hormonal therapy or radiotherapy within 4 weeks (6 weeks for nitrosoureas or mitomycin C) prior to entering the study or those who have not recovered to \< Common Terminology Criteria for Adverse Events (CTCAE) grade 2 from adverse events due to agents administered more than 4 weeks earlier are not eligible to participate in this study; grade 1 persisting toxicities or those deemed irreversible will not be exclusionary; patients who have received prior gemcitabine are also excluded * Patients may not be receiving any other investigational agents concurrently; patients should not be receiving any other anticancer therapy while on study, such as hormonal, biologic, or targeted therapies * Patients with known brain metastases should be excluded from this clinical trial because of their poor prognosis and because they often develop progressive neurologic dysfunction that would confound the evaluation of neurologic and other adverse events * History of allergic reactions attributed to compounds of similar chemical or biologic composition to E7389 or gemcitabine used in study * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements * Pregnant women are excluded from this study because E7389 is an antitubulin agent with the potential for teratogenic or abortifacient effects; because there is an unknown but potential risk for adverse events in nursing infants secondary to treatment of the mother with E7389, breastfeeding should be discontinued if the mother is treated with E7389; these potential risks may also apply to other agents used in this study * Human immunodeficiency virus (HIV)-positive patients on combination antiretroviral therapy are ineligible because of the potential for pharmacokinetic interactions with E7389; in addition, these patients are at increased risk of lethal infections when treated with marrow-suppressive therapy; appropriate studies will be undertaken in patients receiving combination antiretroviral therapy when indicated