# OCME · 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.

100 results; page 1/4.

## Question 15901: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0026`; number: 15901
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0026/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0026.json)

## Question 15902: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0027`; number: 15902
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0027/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0027.json)

## Question 15903: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0028`; number: 15903
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0028/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0028.json)

## Question 15904: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0029`; number: 15904
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0029/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0029.json)

## Question 15905: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0030`; number: 15905
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0030/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0030.json)

## Question 15906: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0031`; number: 15906
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0031/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0031.json)

## Question 15907: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0032`; number: 15907
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0032/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0032.json)

## Question 15908: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0033`; number: 15908
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0033/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0033.json)

## Question 15909: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0034`; number: 15909
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0034/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0034.json)

## Question 15910: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0035`; number: 15910
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0035/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0035.json)

## Question 15911: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0036`; number: 15911
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0036/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0036.json)

## Question 15912: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0037`; number: 15912
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0037/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0037.json)

## Question 15913: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0038`; number: 15913
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0038/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0038.json)

## Question 15914: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0039`; number: 15914
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0039/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0039.json)

## Question 15915: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0040`; number: 15915
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0040/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0040.json)

## Question 15916: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0041`; number: 15916
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0041/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0041.json)

## Question 15917: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0042`; number: 15917
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0042/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0042.json)

## Question 15918: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0043`; number: 15918
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0043/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0043.json)

## Question 15919: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0044`; number: 15919
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0044/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0044.json)

## Question 15920: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0045`; number: 15920
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0045/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0045.json)

## Question 15921: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0046`; number: 15921
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0046/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0046.json)

## Question 15922: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0047`; number: 15922
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0047/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0047.json)

## Question 15923: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0048`; number: 15923
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0048/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0048.json)

## Question 15924: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0049`; number: 15924
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0049/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0049.json)

## Question 15925: Add in the Parent Ring, Then Take the Quotient Class

- ID: `q-20261014-advance-20261031-r04-finite-quotient-ring-0050`; number: 15925
- Processing: second_context_reviewed
- MKO: [mko-finite-quotient-ring](/en/mko/mko-finite-quotient-ring/)
- Family: [qf-mod31-quotring-add](/en/explore/?family=qf-mod31-quotring-add)
- Batch: [batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0050/) / [Markdown](/en/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261031-r04-finite-quotient-ring-0050.json)

[Next](/en/explore/index.md?mko=mko-finite-quotient-ring&page=2)
