A new scheme for lightest supersymmetric particle (LSP) dark matter is introduced and studied in theories of TeV supersymmetry with a QCD axion, a, and a high reheat temperature after inflation, T R . A large overproduction of axinos (ã) and gravitinos (G) from scattering at T R , and from freeze-in at the TeV scale, is diluted by the late decay of a saxion condensate that arises from inflation. The two lightest superpartners areã, with mass of order the TeV scale, andG with mass m 3/2 anywhere between the keV and TeV scales, depending on the mediation scale of supersymmetry breaking. Dark matter contains both warm and cold components: forG LSP the warm component arises fromã →Ga, while forã LSP the warm component arises fromG →ãa. The free-streaming scale for the warm component is predicted to be of order 1 Mpc (and independent of m 3/2 in the case ofG LSP). T R can be as high as 10 16 GeV, for any value of m 3/2 , solving the gravitino problem. The PQ symmetry breaking scale V PQ depends on T R and m 3/2 and can be anywhere in the range (10 10 − 10 16 ) GeV. Detailed predictions are made for the lifetime of the neutralino LOSP decaying toã+h/Z andG+h/Z/γ, which is in the range of (10 −1 −10 6 )m over much of parameter space. For an axion misalignment angle of order unity, the axion contribution to dark matter is sub-dominant, except when V PQ approaches 10 16 GeV.