Synthetic Rule-Agreement Records without Learner Diagnosis
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This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately.
batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations · 2026-10-13 · 100 questions
This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.
1. Synthetic Integer-Sum Response and Its Rule Code
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=-12, b=-9, response=-20. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-12, -9, -20, -21, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-12, -9, -20, -21, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
2. Synthetic Integer-Sum Response and Its Rule Code
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=-11, b=-7, response=-18. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-11, -7, -18, -18, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-11, -7, -18, -18, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
3. Synthetic Integer-Sum Response and Its Rule Code
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=-10, b=-5, response=-15. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-10, -5, -15, -15, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-10, -5, -15, -15, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
4. Synthetic Integer-Sum Response and Its Rule Code
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=-9, b=-3, response=-11. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-9, -3, -11, -12, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-9, -3, -11, -12, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
5. Synthetic Integer-Sum Response and Its Rule Code
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=-8, b=-1, response=-9. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-8, -1, -9, -9, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-8, -1, -9, -9, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
6. Synthetic Integer-Sum Response and Its Rule Code
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=-7, b=1, response=-6. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-7, 1, -6, -6, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-7, 1, -6, -6, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
7. Synthetic Integer-Sum Response and Its Rule Code
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=-6, b=3, response=-2. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-6, 3, -2, -3, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-6, 3, -2, -3, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
8. Synthetic Integer-Sum Response and Its Rule Code
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=-5, b=5, response=0. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-5, 5, 0, 0, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-5, 5, 0, 0, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
9. Synthetic Integer-Sum Response and Its Rule Code
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=-4, b=7, response=3. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-4, 7, 3, 3, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-4, 7, 3, 3, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
10. Synthetic Integer-Sum Response and Its Rule Code
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=-3, b=9, response=7. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-3, 9, 7, 6, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, 9, 7, 6, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
11. Synthetic Integer-Sum Response and Its Rule Code
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=-2, b=11, response=9. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-2, 11, 9, 9, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, 11, 9, 9, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
12. Synthetic Integer-Sum Response and Its Rule Code
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=-1, b=13, response=12. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(-1, 13, 12, 12, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, 13, 12, 12, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
13. Synthetic Integer-Sum Response and Its Rule Code
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=15, response=16. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(0, 15, 16, 15, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, 15, 16, 15, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
14. Synthetic Integer-Sum Response and Its Rule Code
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=1, b=17, response=18. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(1, 17, 18, 18, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (1, 17, 18, 18, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
15. Synthetic Integer-Sum Response and Its Rule Code
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=2, b=19, response=21. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(2, 19, 21, 21, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (2, 19, 21, 21, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
16. Synthetic Integer-Sum Response and Its Rule Code
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=3, b=21, response=25. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(3, 21, 25, 24, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (3, 21, 25, 24, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
17. Synthetic Integer-Sum Response and Its Rule Code
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=4, b=23, response=27. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(4, 23, 27, 27, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (4, 23, 27, 27, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
18. Synthetic Integer-Sum Response and Its Rule Code
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=5, b=25, response=30. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(5, 25, 30, 30, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (5, 25, 30, 30, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
19. Synthetic Integer-Sum Response and Its Rule Code
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=6, b=27, response=34. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(6, 27, 34, 33, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (6, 27, 34, 33, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
20. Synthetic Integer-Sum Response and Its Rule Code
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=7, b=29, response=36. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(7, 29, 36, 36, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (7, 29, 36, 36, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
21. Synthetic Integer-Sum Response and Its Rule Code
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=8, b=31, response=39. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(8, 31, 39, 39, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (8, 31, 39, 39, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
22. Synthetic Integer-Sum Response and Its Rule Code
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=9, b=33, response=43. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(9, 33, 43, 42, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (9, 33, 43, 42, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
23. Synthetic Integer-Sum Response and Its Rule Code
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=10, b=35, response=45. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(10, 35, 45, 45, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (10, 35, 45, 45, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
24. Synthetic Integer-Sum Response and Its Rule Code
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=11, b=37, response=48. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(11, 37, 48, 48, Yes, matches_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (11, 37, 48, 48, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
25. Synthetic Integer-Sum Response and Its Rule Code
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=12, b=39, response=52. Give (a,b,response,a+b,match?,matches_rule_expected or differs_from_rule_expected).
View answer and explanation
(12, 39, 52, 51, No, differs_from_rule_expected)
Recompute the exact integer sum. A mismatched response licenses only the stated rule code, not a diagnosis of its author. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (12, 39, 52, 51, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-integer-sum-record · candidate
26. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-8, q=1≠0, r=-7, s=1≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-8, 1, -7, 1, -8, -7, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-8, 1, -7, 1, -8, -7, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
27. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-7, q=2≠0, r=-14, s=2≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-7, 2, -14, 2, -14, -28, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-7, 2, -14, 2, -14, -28, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
28. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-6, q=3≠0, r=-17, s=3≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-6, 3, -17, 3, -18, -51, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-6, 3, -17, 3, -18, -51, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
29. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-5, q=4≠0, r=-20, s=4≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-5, 4, -20, 4, -20, -80, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-5, 4, -20, 4, -20, -80, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
30. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-4, q=5≠0, r=-19, s=5≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-4, 5, -19, 5, -20, -95, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-4, 5, -19, 5, -20, -95, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
31. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-3, q=1≠0, r=-18, s=6≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-3, 1, -18, 6, -18, -18, Yes, Yes, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, 1, -18, 6, -18, -18, Yes, Yes, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
32. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-2, q=2≠0, r=-13, s=7≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-2, 2, -13, 7, -14, -26, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, 2, -13, 7, -14, -26, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
33. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=-1, q=3≠0, r=-1, s=1≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(-1, 3, -1, 1, -1, -3, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, 3, -1, 1, -1, -3, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
34. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=0, q=4≠0, r=1, s=2≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(0, 4, 1, 2, 0, 4, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, 4, 1, 2, 0, 4, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
35. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=1, q=5≠0, r=3, s=3≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(1, 5, 3, 3, 3, 15, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (1, 5, 3, 3, 3, 15, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
36. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=2, q=1≠0, r=9, s=4≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(2, 1, 9, 4, 8, 9, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (2, 1, 9, 4, 8, 9, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
37. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=3, q=2≠0, r=15, s=5≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(3, 2, 15, 5, 15, 30, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (3, 2, 15, 5, 15, 30, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
38. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=4, q=3≠0, r=25, s=6≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(4, 3, 25, 6, 24, 75, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (4, 3, 25, 6, 24, 75, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
39. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=5, q=4≠0, r=35, s=7≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(5, 4, 35, 7, 35, 140, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (5, 4, 35, 7, 35, 140, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
40. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=6, q=5≠0, r=7, s=1≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(6, 5, 7, 1, 6, 35, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (6, 5, 7, 1, 6, 35, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
41. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=7, q=1≠0, r=14, s=2≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(7, 1, 14, 2, 14, 14, Yes, Yes, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (7, 1, 14, 2, 14, 14, Yes, Yes, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
42. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=8, q=2≠0, r=25, s=3≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(8, 2, 25, 3, 24, 50, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (8, 2, 25, 3, 24, 50, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
43. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=9, q=3≠0, r=36, s=4≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(9, 3, 36, 4, 36, 108, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (9, 3, 36, 4, 36, 108, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
44. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=10, q=4≠0, r=51, s=5≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(10, 4, 51, 5, 50, 204, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (10, 4, 51, 5, 50, 204, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
45. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=11, q=5≠0, r=66, s=6≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(11, 5, 66, 6, 66, 330, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (11, 5, 66, 6, 66, 330, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
46. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=12, q=1≠0, r=85, s=7≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(12, 1, 85, 7, 84, 85, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (12, 1, 85, 7, 84, 85, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
47. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=13, q=2≠0, r=13, s=1≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(13, 2, 13, 1, 13, 26, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (13, 2, 13, 1, 13, 26, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
48. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=14, q=3≠0, r=29, s=2≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(14, 3, 29, 2, 28, 87, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (14, 3, 29, 2, 28, 87, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
49. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=15, q=4≠0, r=45, s=3≠0; Boolean response=false. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(15, 4, 45, 3, 45, 180, No, No, Yes, matches_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (15, 4, 45, 3, 45, 180, No, No, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
50. Synthetic Fraction-Equivalence Response with Nonzero Denominators
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. Fractions p/q and r/s have p=16, q=5≠0, r=65, s=4≠0; Boolean response=true. Give (p,q,r,s,p*s,r*q,equivalent?,response,match?,rule code). Preserve the signed original numerator/denominator values in these fields.
View answer and explanation
(16, 5, 65, 4, 64, 325, No, Yes, No, differs_from_rule_expected)
Cross products test equivalence exactly, including negative denominators; compare that truth value with the synthetic response without replacing the record’s raw fractions. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (16, 5, 65, 4, 64, 325, No, Yes, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-fraction-equivalence-record · candidate
51. Synthetic Response to a Declared Substitution
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=-3, b=-11, x=-2, response=-6. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-3, -11, -2, -6, -5, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, -11, -2, -6, -5, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
52. Synthetic Response to a Declared Substitution
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=-2, b=-10, x=-1, response=-8. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-2, -10, -1, -8, -8, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, -10, -1, -8, -8, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
53. Synthetic Response to a Declared Substitution
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=-1, b=-9, x=0, response=-9. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-1, -9, 0, -9, -9, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, -9, 0, -9, -9, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
54. Synthetic Response to a Declared Substitution
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=-8, x=1, response=-9. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(0, -8, 1, -9, -8, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, -8, 1, -9, -8, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
55. Synthetic Response to a Declared Substitution
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=1, b=-7, x=2, response=-5. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(1, -7, 2, -5, -5, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (1, -7, 2, -5, -5, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
56. Synthetic Response to a Declared Substitution
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=2, b=-6, x=-2, response=-10. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(2, -6, -2, -10, -10, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (2, -6, -2, -10, -10, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
57. Synthetic Response to a Declared Substitution
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=3, b=-5, x=-1, response=-9. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(3, -5, -1, -9, -8, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (3, -5, -1, -9, -8, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
58. Synthetic Response to a Declared Substitution
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=-3, b=-4, x=0, response=-4. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-3, -4, 0, -4, -4, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, -4, 0, -4, -4, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
59. Synthetic Response to a Declared Substitution
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=-2, b=-3, x=1, response=-5. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-2, -3, 1, -5, -5, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, -3, 1, -5, -5, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
60. Synthetic Response to a Declared Substitution
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=-1, b=-2, x=2, response=-5. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-1, -2, 2, -5, -4, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, -2, 2, -5, -4, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
61. Synthetic Response to a Declared Substitution
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).
View answer and explanation
(0, -1, -2, -1, -1, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, -1, -2, -1, -1, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
62. Synthetic Response to a Declared Substitution
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=1, b=0, x=-1, response=-1. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(1, 0, -1, -1, -1, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (1, 0, -1, -1, -1, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
63. Synthetic Response to a Declared Substitution
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=2, b=1, x=0, response=0. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(2, 1, 0, 0, 1, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (2, 1, 0, 0, 1, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
64. Synthetic Response to a Declared Substitution
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=3, b=2, x=1, response=5. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(3, 2, 1, 5, 5, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (3, 2, 1, 5, 5, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
65. Synthetic Response to a Declared Substitution
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=-3, b=3, x=2, response=-3. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-3, 3, 2, -3, -3, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, 3, 2, -3, -3, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
66. Synthetic Response to a Declared Substitution
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=-2, b=4, x=-2, response=7. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-2, 4, -2, 7, 8, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, 4, -2, 7, 8, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
67. Synthetic Response to a Declared Substitution
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=-1, b=5, x=-1, response=6. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-1, 5, -1, 6, 6, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, 5, -1, 6, 6, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
68. Synthetic Response to a Declared Substitution
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=6, x=0, response=6. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(0, 6, 0, 6, 6, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, 6, 0, 6, 6, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
69. Synthetic Response to a Declared Substitution
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=1, b=7, x=1, response=7. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(1, 7, 1, 7, 8, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (1, 7, 1, 7, 8, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
70. Synthetic Response to a Declared Substitution
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=2, b=8, x=2, response=12. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(2, 8, 2, 12, 12, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (2, 8, 2, 12, 12, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
71. Synthetic Response to a Declared Substitution
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=3, b=9, x=-2, response=3. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(3, 9, -2, 3, 3, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (3, 9, -2, 3, 3, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
72. Synthetic Response to a Declared Substitution
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=-3, b=10, x=-1, response=12. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-3, 10, -1, 12, 13, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-3, 10, -1, 12, 13, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
73. Synthetic Response to a Declared Substitution
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=-2, b=11, x=0, response=11. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-2, 11, 0, 11, 11, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-2, 11, 0, 11, 11, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
74. Synthetic Response to a Declared Substitution
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=-1, b=12, x=1, response=11. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(-1, 12, 1, 11, 11, Yes, matches_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (-1, 12, 1, 11, 11, Yes, matches_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
75. Synthetic Response to a Declared Substitution
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=13, x=2, response=12. Give (a,b,x,response,a*x+b,match?,rule code).
View answer and explanation
(0, 13, 2, 12, 13, No, differs_from_rule_expected)
Evaluate the declared expression, compare values and retain only a rule-agreement status. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (0, 13, 2, 12, 13, No, differs_from_rule_expected).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-linear-substitution-record · candidate
76. Presence Flags for a Replayable Synthetic Record
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. item_id=21000; prompt_present=true, expected_present=false, response_present=false, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21000, Yes, No, No, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21000, Yes, No, No, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
77. Presence Flags for a Replayable Synthetic Record
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. item_id=21001; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21001, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21001, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
78. Presence Flags for a Replayable Synthetic Record
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. item_id=21002; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21002, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21002, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
79. Presence Flags for a Replayable Synthetic Record
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. item_id=21003; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21003, Yes, Yes, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21003, Yes, Yes, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
80. Presence Flags for a Replayable Synthetic Record
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. item_id=21004; prompt_present=true, expected_present=true, response_present=false, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21004, Yes, Yes, No, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21004, Yes, Yes, No, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
81. Presence Flags for a Replayable Synthetic Record
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. item_id=21005; prompt_present=true, expected_present=false, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21005, Yes, No, Yes, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21005, Yes, No, Yes, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
82. Presence Flags for a Replayable Synthetic Record
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. item_id=21006; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21006, Yes, Yes, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21006, Yes, Yes, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
83. Presence Flags for a Replayable Synthetic Record
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. item_id=21007; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21007, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21007, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
84. Presence Flags for a Replayable Synthetic Record
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. item_id=21008; prompt_present=true, expected_present=true, response_present=false, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21008, Yes, Yes, No, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21008, Yes, Yes, No, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
85. Presence Flags for a Replayable Synthetic Record
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. item_id=21009; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21009, Yes, Yes, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21009, Yes, Yes, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
86. Presence Flags for a Replayable Synthetic Record
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. item_id=21010; prompt_present=true, expected_present=false, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21010, Yes, No, Yes, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21010, Yes, No, Yes, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
87. Presence Flags for a Replayable Synthetic Record
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. item_id=21011; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21011, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21011, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
88. Presence Flags for a Replayable Synthetic Record
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. item_id=21012; prompt_present=true, expected_present=true, response_present=false, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21012, Yes, Yes, No, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21012, Yes, Yes, No, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
89. Presence Flags for a Replayable Synthetic Record
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. item_id=21013; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21013, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21013, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
90. Presence Flags for a Replayable Synthetic Record
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. item_id=21014; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21014, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21014, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
91. Presence Flags for a Replayable Synthetic Record
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. item_id=21015; prompt_present=true, expected_present=false, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21015, Yes, No, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21015, Yes, No, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
92. Presence Flags for a Replayable Synthetic Record
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. item_id=21016; prompt_present=true, expected_present=true, response_present=false, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21016, Yes, Yes, No, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21016, Yes, Yes, No, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
93. Presence Flags for a Replayable Synthetic Record
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. item_id=21017; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21017, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21017, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
94. Presence Flags for a Replayable Synthetic Record
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. item_id=21018; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21018, Yes, Yes, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21018, Yes, Yes, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
95. Presence Flags for a Replayable Synthetic Record
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. item_id=21019; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21019, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21019, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
96. Presence Flags for a Replayable Synthetic Record
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. item_id=21020; prompt_present=true, expected_present=false, response_present=false, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21020, Yes, No, No, Yes, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21020, Yes, No, No, Yes, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
97. Presence Flags for a Replayable Synthetic Record
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. item_id=21021; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21021, Yes, Yes, Yes, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21021, Yes, Yes, Yes, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
98. Presence Flags for a Replayable Synthetic Record
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. item_id=21022; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21022, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21022, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
99. Presence Flags for a Replayable Synthetic Record
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. item_id=21023; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21023, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21023, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
100. Presence Flags for a Replayable Synthetic Record
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. item_id=21024; prompt_present=true, expected_present=true, response_present=false, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).
View answer and explanation
(21024, Yes, Yes, No, No, No, synthetic_record_incomplete)
Completeness requires every explicitly Boolean field-presence flag. A complete record alone proves neither response correctness nor educational effectiveness. This explicit finite/exact slice is neither a general theorem nor a judgment about a person. The exact result, retaining the requested order, is (21024, Yes, Yes, No, No, No, synthetic_record_incomplete).
Reviewed step-by-step derivation
Diagnostic mathematical assessment records · qf-app21-diagnostic-record-completeness · candidate
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