Two full-real polynomial primitives share F0: F1=F0+(0) and F2=F0+(-12). Find the constant F1−F2. Use reduced positive-denominator fractions, retaining /1 for integers.
G001 — Two full-real polynomial primitives share F0: F1=F0+(0) and F2=F0+(-12). Find the constant F1−F2. Use reduced positive-denominator fractions, retaining /1 for integers.
Definition and scope
Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Retain the ORIGINAL bank full operation prefix,domain and ordered answer roles.Use orthogonal_equal_unit only where a frame is declared,and degrees where an angle unit is declared.Integer fractions retain/1.Do not invent parameters or alter original bilingual sources.
Primitive difference ORIGINAL C1 minus C2 := sub(0, -12)
After
Primitive difference ORIGINAL C1 minus C2 = 12
Conditions: none
Substitute exact ORIGINAL roles,without floating approximation.SAFE bounds raw inputs only;derived integers/rationals are unbounded and do not inherit another bank component cap.
The TWO GIVEN expressions share the SAME F0;expanding subtraction cancels F0 and -F0,leaving C1-C2.No extra polynomial or anchor is needed,and no theorem on arbitrary disconnected-domain primitives is inferred.
S003 · premise_and_result_audit — Reverse-check this step against the ORIGINAL data,indices and premises,without claiming the conclusion uniquely recovers the inputs.Finite exact checking,independent review,formal proof and publication clearance remain separate.
S002 · premise_and_result_audit — Recompute Primitive difference ORIGINAL C1 minus C2 with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Reverse-check this step against the ORIGINAL data,indices and premises,without claiming the conclusion uniquely recovers the inputs.Finite exact checking,independent review,formal proof and publication clearance remain separate.
Result
12/1
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
This question review and source binding
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.