{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"family":"qf-mod42-higher-polynomial-nth-derivative"},"total":25,"page":1,"page_count":1,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0026","number":23051,"title":{"zh-Hant":"第 23051 題：高階導數","en":"Question 23051: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"37f6ebe85cd282eb796672278f5adcf97053070c88f1127075691088b5982131","derivation_sha256":"ac8d55fe8c691eef23aaabbf152e6b281e1bfae353b83a8e37e4f87e853f28aa"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0027","number":23052,"title":{"zh-Hant":"第 23052 題：高階導數","en":"Question 23052: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ffd5a006f8f7faee0be23d39505d0dcbfeee25f5202df6de71d9d83ab8d37b25","derivation_sha256":"a0f0d74057a9eab9f371f8dae67ce127f58b01e9e0c1af633a9dd25e57b5be55"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0028","number":23053,"title":{"zh-Hant":"第 23053 題：高階導數","en":"Question 23053: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ae4b592c250c4c3c3880df4c053f4a426df12e3f70d78916efa057a3e03b4109","derivation_sha256":"b729cfed5dd13fac38bce0d66dfd17fd3010c69d0cbccdcfe429b12311c0e05b"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0029","number":23054,"title":{"zh-Hant":"第 23054 題：高階導數","en":"Question 23054: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1a88bbad6961a1db8cf0aa0fea6bd05753090c55986ebac77e536a576b76c170","derivation_sha256":"5e518253c99e23b0ed3468884f2ed884eee76caeaa834d3c458257286648d81f"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0030","number":23055,"title":{"zh-Hant":"第 23055 題：高階導數","en":"Question 23055: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1a325a2aa21ae9438114371ab8ba3d5e62549dd89c1c51dbd45cf60706a3a0ef","derivation_sha256":"230d527dc54a1b71e29519d20d5014bd544239d0e5dd3b0ee315a3949855a03e"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0031","number":23056,"title":{"zh-Hant":"第 23056 題：高階導數","en":"Question 23056: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d57d11a826b207f12c206bba61d5ec8ff9f56c362c56b6699d27a1c44b85735a","derivation_sha256":"d581a3d5d0a5ccaa05cb226166781ce7b584d753cb54f020020c48d97a75f93c"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0032","number":23057,"title":{"zh-Hant":"第 23057 題：高階導數","en":"Question 23057: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"743011eaa633f8f9d7321943cffade48d3a9ef42d85dcbd1517df4b4f3461cf9","derivation_sha256":"eb60870981497407481cb15b070ef4da1c8223e46d85a41ffaafed5b20d63f33"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0033","number":23058,"title":{"zh-Hant":"第 23058 題：高階導數","en":"Question 23058: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a6c51779bc128212f198b38c0dd4e0388ded49eac9fa38dc221b2a60df60d9f6","derivation_sha256":"39967b8f8e3fa77b8458469ea969668b874c34156031bb795cb027a2192903e0"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0034","number":23059,"title":{"zh-Hant":"第 23059 題：高階導數","en":"Question 23059: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5f2a38ef8f37e495be76dc8da0601f9df5a66000e64b446edfeb8a7779565afb","derivation_sha256":"9f6e6c59a23579dfa0f6ce403b4d4b56c0519cd1620d234dfb691d43eb3e560f"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0035","number":23060,"title":{"zh-Hant":"第 23060 題：高階導數","en":"Question 23060: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ac7f1669f0c89af62e1eecaa7914f48bdb5aa145557b0535c53e17ae7eff1403","derivation_sha256":"721a0d1594b3d6da218af850dc4ac62b4da0f9662cafc85bdd8b3fee98cd8756"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0036","number":23061,"title":{"zh-Hant":"第 23061 題：高階導數","en":"Question 23061: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2bd127c4d9976ff59921ec67ba4bbea2675b9901fbe0fd86857a512a236339ec","derivation_sha256":"3b7c2045b69429d949e298bb6827277b3461f308f4602544edb4d7a912b79fe7"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0037","number":23062,"title":{"zh-Hant":"第 23062 題：高階導數","en":"Question 23062: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d89bf8ceb72652e552ae212fc87410d9c9fc33917c3259ee8bf5aa5330660d47","derivation_sha256":"26cbdddde6c2f65f0d7a60d4c5ebe032333e3eae5d466e5a9186008d5ae5f1a7"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0038","number":23063,"title":{"zh-Hant":"第 23063 題：高階導數","en":"Question 23063: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6bb3676d985550926818e000f5976ea307d6905607feaab6d5d9c81d66b4bc65","derivation_sha256":"c1ce21e2ecebe1a49735d61582d35877efad08215115b2d84ed9e960b55ea6a3"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0039","number":23064,"title":{"zh-Hant":"第 23064 題：高階導數","en":"Question 23064: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"67ec98660f3346a335039457f2ffeecbf4990816d0845091d6bc50c307de6728","derivation_sha256":"65f7f9bb5479a4e2f9b660f37ad37ffa9aba37d8ed80100e4d79bdc7968608c1"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0040","number":23065,"title":{"zh-Hant":"第 23065 題：高階導數","en":"Question 23065: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"dd898a7f129fe4461a3bfee00174e6f1f935440b9388129a8187d94a74bbd0c1","derivation_sha256":"e252b6dd36d7b1349055aefc876b25fed0ad644815c4ee8f1ad7fda467612826"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0041","number":23066,"title":{"zh-Hant":"第 23066 題：高階導數","en":"Question 23066: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4de15f92aa3c0b467ff9bfc96224a3134c99cc2b47071e84434a67bdea72b106","derivation_sha256":"51434b6cc18874308114bfa2b9c21ecdbe2859de99e67c3bf49c1ebea75630d3"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0042","number":23067,"title":{"zh-Hant":"第 23067 題：高階導數","en":"Question 23067: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0a220acab71fcf3f3c440bcd5cdf7afe5d16b3feb480f2e3660794d138df204e","derivation_sha256":"4d60fbf69d9c06916411757c5d9637d3f9b7869b27387fcf46d1bf86456a9288"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0043","number":23068,"title":{"zh-Hant":"第 23068 題：高階導數","en":"Question 23068: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f0cf8fa6695b31b2af30018a467e1c648fbd78b3965b769c7d67ae7db8dce9d7","derivation_sha256":"cab5a7a5e29fbb43cc2f1c47901d50901ceb3a9bc40af8460b9144b0911ba3fe"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0044","number":23069,"title":{"zh-Hant":"第 23069 題：高階導數","en":"Question 23069: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2d5cd4f1444bddaf7b6ab51c15cde85fa2020b1523f3b371a2dd31a5e158c5d2","derivation_sha256":"05cd3f2abaf1eefa2d0dd1f7eff9984cf9b960707a625646d3b9c069da3a2744"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0045","number":23070,"title":{"zh-Hant":"第 23070 題：高階導數","en":"Question 23070: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"35a2730433950dd1dee1ebe144fa8762fc29987d2666e5a2bfcd0274af079991","derivation_sha256":"706f805ee713b7256856e886d4ac8f34f0d4c281d29e697fbc5c441d78d38735"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0046","number":23071,"title":{"zh-Hant":"第 23071 題：高階導數","en":"Question 23071: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6373a14c3707d6511135b00912417b939c715a076b5dc33f8dd5083e6d9f84dc","derivation_sha256":"90667d07dbbc098c8b2f9c1f78691d85779c4f0fde4432f2bfe1bb8568c8a1e9"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0047","number":23072,"title":{"zh-Hant":"第 23072 題：高階導數","en":"Question 23072: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"08e4591cd797ee5561ecbf44bd3fcee2198535bd4a183044c7cd07c45a2268ae","derivation_sha256":"fe412a4be7a99385ac75ac39c08e8890ba49a9b76d676a9679989301a89524e5"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0048","number":23073,"title":{"zh-Hant":"第 23073 題：高階導數","en":"Question 23073: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bc1ddd0f70fac6e42475886b8ca22d9ab9b09c45babb5e6e43a2981fdcb3755a","derivation_sha256":"5564a36834b2b54fc31fcf2eac10c14e42cd3ada981b98cb55d075fcbe4987d2"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0049","number":23074,"title":{"zh-Hant":"第 23074 題：高階導數","en":"Question 23074: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e5c88466f8f607fda4ce202d3c97e8fe36666c5c20472bf1ed0920003b56f719","derivation_sha256":"d6fa366e4c321044f360972702d2edff5f338c9d5db4e505e48894f63ad64cc2"},{"question_id":"q-20261014-advance-20261111-r02-higher-order-derivative-0050","number":23075,"title":{"zh-Hant":"第 23075 題：高階導數","en":"Question 23075: Exact Falling Factorials Preserve Low-to-High Derivative Coefficients"},"family_id":"qf-mod42-higher-polynomial-nth-derivative","batch_id":"batch-20261014-advance-20261111-r02-higher-order-derivative-foundations","mko_ids":["mko-higher-order-derivative"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6a082fdcf04b645dd8deaffc61ac4b0faa467a2ee2d0a48acee0dace061f1b97","derivation_sha256":"8d0351836adda60b4308a33b9904776a2bf83eea5cc074ec64b850aa5783b3e3"}]}