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R0003-02161 · q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0061
Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. a=0, b=-1, x=-2, response=-1. Give (a,b,x,response,a*x+b,match?,rule code).
G001 — Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. a=0, b=-1, x=-2, response=-1. Give (a,b,x,response,a*x+b,match?,rule code).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.
Before
synthetic response record and a declared mathematical rule
After
check rule agreement,not a learner diagnosis
Conditions: none
These are synthetic records;one response does not diagnose a real learner's ability,psychology or learning outcome.
Rule: synthetic_record_scope · Uses: G001
Before
a·x := mul(0, -2)
After
a·x = 0
Conditions: none
Substitute the given input in the multiplicative term.
Rule: exact_rational_arithmetic · Uses: G001, S001
Before
a·x+b := sum(0, -1)
After
a·x+b = -1
Conditions: none
Add the constant to obtain the rule-expected value.
Rule: exact_rational_arithmetic · Uses: G001, S002
Before
response=-1; expected=-1
After
match=Yes
Conditions: none
This records rule agreement for this substitution only,not the cause of an error.
Rule: substitution_record_match · Uses: G001, S003
Before
rule agreement=Yes
After
record code=matches_rule_expected
Conditions: none
The code records agreement with the stated rule,not a person-level score or general learning diagnosis.
Rule: diagnostic_rule_code · Uses: G001, S004
S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S003 · premise_and_result_audit — Recompute a·x+b with exact rational arithmetic, not rounded decimals.S002 · premise_and_result_audit — Recompute a·x with exact rational arithmetic, not rounded decimals.S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.(0, -1, -2, -1, -1, Yes, matches_rule_expected)
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
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.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 01b3f4676bc190172c93e9be432bf04bd106caf361bf6c10ac7e95d28dd368e6candidate record SHA-256: 5c592af88aa35a56d2bb22c90bde392fb67314a86d53b736856e86edbd4bec1esemantic review receipt SHA-256: 5dbc70ebd5f74b23384c93b63a2b1d6519e206c79f22ae16a6c2d7483cea783fquestion-first witness SHA-256: cf121c8dd2fec13aa118b04b049ee39494f1d6d9ecdc13514cafb78c0fc021faLean: NOT_RUN · human review: NOT_PERFORMED