# 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. 200 results; page 2/8. ## Question 6626: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0051`; number: 6626 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0051/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0051.json) ## Question 6627: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0052`; number: 6627 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0052/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0052.json) ## Question 6628: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0053`; number: 6628 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0053/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0053.json) ## Question 6629: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0054`; number: 6629 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0054/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0054.json) ## Question 6630: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0055`; number: 6630 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0055/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0055.json) ## Question 6631: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0056`; number: 6631 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0056/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0056.json) ## Question 6632: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0057`; number: 6632 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0057/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0057.json) ## Question 6633: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0058`; number: 6633 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0058/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0058.json) ## Question 6634: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0059`; number: 6634 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0059/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0059.json) ## Question 6635: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0060`; number: 6635 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0060/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0060.json) ## Question 6636: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0061`; number: 6636 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0061/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0061.json) ## Question 6637: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0062`; number: 6637 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0062/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0062.json) ## Question 6638: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0063`; number: 6638 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0063/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0063.json) ## Question 6639: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0064`; number: 6639 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0064/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0064.json) ## Question 6640: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0065`; number: 6640 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0065/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0065.json) ## Question 6641: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0066`; number: 6641 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0066/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0066.json) ## Question 6642: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0067`; number: 6642 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0067/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0067.json) ## Question 6643: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0068`; number: 6643 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0068/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0068.json) ## Question 6644: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0069`; number: 6644 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0069/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0069.json) ## Question 6645: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0070`; number: 6645 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0070/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0070.json) ## Question 6646: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0071`; number: 6646 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0071/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0071.json) ## Question 6647: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0072`; number: 6647 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0072/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0072.json) ## Question 6648: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0073`; number: 6648 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0073/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0073.json) ## Question 6649: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0074`; number: 6649 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0074/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0074.json) ## Question 6650: Original Denominator Guard versus Cross-Multiplication - ID: `q-20261010-advance-20261014-r03-equation-0075`; number: 6650 - Processing: second_context_reviewed - MKO: [mko-equation](/en/mko/mko-equation/) - Family: [qf-density14-equation-denominator-exclusion-check](/en/explore/?family=qf-density14-equation-denominator-exclusion-check) - Batch: [batch-20261010-advance-20261014-r03-equation-foundations](/en/explore/?batch=batch-20261010-advance-20261014-r03-equation-foundations) - [Derivation](/en/questions/q-20261010-advance-20261014-r03-equation-0075/) / [Markdown](/en/questions/q-20261010-advance-20261014-r03-equation-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261010-advance-20261014-r03-equation-0075.json) [Next](/en/explore/index.md?mko=mko-equation&page=3)