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Ultrasolve
Rigorous methods for solving the hardest problems.
Skills
8 in the Claude listing
analogize
Use when invoked directly or selected by the router because a problem has the abstract shape of a solved problem in another domain.
decompose
Use when invoked directly or selected by the router because a problem needs answerable seams, ordered partial results, and explicit recomposition.
define
Use when a felt difficulty has an unsettled outcome or competing definitions: a proposed solution arrives without recoverable success criteria, symptoms presume a cause, or stakeholders disagree about
generalize
Use when invoked directly or selected by the router to broaden an already-found result or expose structure hidden by an awkward special case.
invert
Use when invoked directly or selected by the router because an end state is clearer than the forward route or bounded backward hypotheses could aid diagnosis.
restate
Use when invoked directly or selected by the router because repeated formulations lead to the same dead end or hide a useful viewpoint.
simplify
Use when invoked directly or selected by the router because interacting constraints and edge cases hide a problem's core difficulty.
solve
Use when a well-defined problem is genuinely stuck after reasoned attempts, such as recurring dead ends, constraints that defeat plausible designs, an unmanageable problem shape, or a clear outcome wi
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