The Problem Solvers Independent Commissions Act requires all states to conduct congressional redistricting through independent commissions rather than allowing state legislatures to draw district lines. Each commission would have equal representation from the two largest political parties in the state legislature, plus unaffiliated members, and would be assembled through a random selection process from qualified applicants. Commission members must meet strict eligibility requirements, including a three-year voting history in the state and a prohibition on recent involvement in politics or government, and the bill specifies detailed criteria for map-drawing that prioritize equal population, prevention of partisan gerrymandering, and preservation of geographic boundaries. The legislation mandates extensive public participation through open meetings and comment periods, and requires the final redistricting plan to receive approval from at least two-thirds of commission members with support across all partisan categories. If a commission fails to approve a map on time, state courts can appoint special masters to develop a plan, ensuring the legislature cannot control the outcome. The bill takes effect beginning with the 2030 census and does not include specific federal funding but expresses the sense of Congress that states should adequately resource these commissions.