Single tool with critical definition gaps. Tool name 'solve_integer_constraints' lacks action verb prefix (should be 'solve_' or similar, which it has, but is overly generic). Description is present (71 chars) but minimal and lacks WHEN/WHY context. Input schema visible but severely incomplete: parameters lack individual descriptions, no type constraints on nested objects, no output schema documented. No error handling guidance. No parameter validation rules stated. Violates multiple baseline requirements: 100% of A+ tools have param descriptions (this has 0); 100% of A+ tools document return types (this has none).

• Add descriptions to all nested schema properties: 'coeffs' → 'Dictionary mapping variable names (strings) to integer coefficients (e.g., {"x": 2, "y": -3})', 'bound' → 'Integer upper bound: the linear combination sum(coeff*var) must be <= bound'.
• Document the output schema explicitly: 'Returns {"satisfiable": bool, "model": {var_name: int_value} | null}. If satisfiable=true, model contains a satisfying integer assignment. If false, model is null (system is infeasible).'
• Expand tool description to include: search domain bounds (-50 to 50), limitation to ≤3 variables, and what happens on infeasibility. Example: 'Solves systems of linear integer inequalities (Presburger arithmetic) over variables in [-50, 50]. Supports up to 3 variables. Returns a satisfying assignment if one exists, or null if infeasible.'
• Add error handling: return structured errors for >3 variables ('Too many variables: supports max 3, got N') and infeasible systems ('No satisfying assignment found in domain [-50, 50]'). Include recovery hints.
• Consider renaming to 'solve_presburger_inequalities' or 'find_integer_solution' to better distinguish from generic constraint solvers and clarify the mathematical domain.