# 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 10901: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0051`; number: 10901 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0051/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0051.json) ## Question 10902: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0052`; number: 10902 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0052/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0052.json) ## Question 10903: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0053`; number: 10903 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0053/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0053.json) ## Question 10904: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0054`; number: 10904 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0054/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0054.json) ## Question 10905: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0055`; number: 10905 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0055/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0055.json) ## Question 10906: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0056`; number: 10906 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0056/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0056.json) ## Question 10907: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0057`; number: 10907 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0057/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0057.json) ## Question 10908: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0058`; number: 10908 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0058/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0058.json) ## Question 10909: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0059`; number: 10909 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0059/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0059.json) ## Question 10910: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0060`; number: 10910 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0060/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0060.json) ## Question 10911: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0061`; number: 10911 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0061/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0061.json) ## Question 10912: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0062`; number: 10912 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0062/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0062.json) ## Question 10913: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0063`; number: 10913 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0063/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0063.json) ## Question 10914: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0064`; number: 10914 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0064/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0064.json) ## Question 10915: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0065`; number: 10915 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0065/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0065.json) ## Question 10916: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0066`; number: 10916 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0066/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0066.json) ## Question 10917: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0067`; number: 10917 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0067/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0067.json) ## Question 10918: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0068`; number: 10918 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0068/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0068.json) ## Question 10919: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0069`; number: 10919 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0069/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0069.json) ## Question 10920: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0070`; number: 10920 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0070/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0070.json) ## Question 10921: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0071`; number: 10921 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0071/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0071.json) ## Question 10922: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0072`; number: 10922 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0072/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0072.json) ## Question 10923: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0073`; number: 10923 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0073/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0073.json) ## Question 10924: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0074`; number: 10924 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0074/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0074.json) ## Question 10925: Operation Preservation for Every Source Pair - ID: `q-20261013-advance-20261023-r03-subgroup-homomorphism-0075`; number: 10925 - Processing: second_context_reviewed - MKO: [mko-subgroup-homomorphism](/en/mko/mko-subgroup-homomorphism/) - Family: [qf-mod23-subgroup-homomorphism-audit](/en/explore/?family=qf-mod23-subgroup-homomorphism-audit) - Batch: [batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations](/en/explore/?batch=batch-20261013-advance-20261023-r03-subgroup-homomorphism-foundations) - [Derivation](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0075/) / [Markdown](/en/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261023-r03-subgroup-homomorphism-0075.json)