# OCME ยท Knowledge & practice explorer 302 MKO / 1,441 families / 360 batches / 36,000 questions. 36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training. 25 results; page 1/1. ## Question 17026: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0076`; number: 17026 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0076/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0076.json) ## Question 17027: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0077`; number: 17027 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0077/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0077.json) ## Question 17028: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0078`; number: 17028 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0078/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0078.json) ## Question 17029: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0079`; number: 17029 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0079/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0079.json) ## Question 17030: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0080`; number: 17030 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0080/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0080.json) ## Question 17031: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0081`; number: 17031 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0081/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0081.json) ## Question 17032: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0082`; number: 17032 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0082/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0082.json) ## Question 17033: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0083`; number: 17033 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0083/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0083.json) ## Question 17034: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0084`; number: 17034 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0084/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0084.json) ## Question 17035: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0085`; number: 17035 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0085/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0085.json) ## Question 17036: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0086`; number: 17036 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0086/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0086.json) ## Question 17037: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0087`; number: 17037 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0087/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0087.json) ## Question 17038: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0088`; number: 17038 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0088/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0088.json) ## Question 17039: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0089`; number: 17039 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0089/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0089.json) ## Question 17040: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0090`; number: 17040 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0090/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0090.json) ## Question 17041: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0091`; number: 17041 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0091/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0091.json) ## Question 17042: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0092`; number: 17042 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0092/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0092.json) ## Question 17043: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0093`; number: 17043 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0093/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0093.json) ## Question 17044: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0094`; number: 17044 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0094/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0094.json) ## Question 17045: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0095`; number: 17045 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0095/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0095.json) ## Question 17046: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0096`; number: 17046 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0096/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0096.json) ## Question 17047: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0097`; number: 17047 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0097/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0097.json) ## Question 17048: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0098`; number: 17048 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0098/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0098.json) ## Question 17049: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0099`; number: 17049 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0099/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0099.json) ## Question 17050: Failure to Find an Integer Preimage Does Not Establish Real Nonmembership - ID: `q-20261014-advance-20261102-r03-linear-map-image-0100`; number: 17050 - Processing: second_context_reviewed - MKO: [mko-linear-map-image](/en/mko/mko-linear-map-image/) - Family: [qf-mod33-image-bounded-search-boundary](/en/explore/?family=qf-mod33-image-bounded-search-boundary) - Batch: [batch-20261014-advance-20261102-r03-linear-map-image-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r03-linear-map-image-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0100/) / [Markdown](/en/questions/q-20261014-advance-20261102-r03-linear-map-image-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r03-linear-map-image-0100.json)