{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0001","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"00cba39cfe92034dd68ba0195e163554ae4517fdbf32c6bc3984f1b2e11662ad","family_id":"qf-integer-membership","seed":20260920,"semantic_template":"qf-integer-membership/{\"integer\":false,\"raw\":\"0.5\"}"},"fields":{"title":"Integer Membership","stem":"Does 0.5 belong to the integer set Z?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"0.5 is not an integer; decimal notation must not be classified by appearance alone."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0002","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ee867447964ffe4deaf333d6332a80e8a893d4374955ee7d6d2f10a6cfaefdd8","family_id":"qf-integer-membership","seed":20260921,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-1\"}"},"fields":{"title":"Integer Membership","stem":"Does -1 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-1 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0003","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a2134dd9d570ffb137899e8c83eb62e6af9872f1413278569b750defbf720bb3","family_id":"qf-integer-membership","seed":20260922,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"2\"}"},"fields":{"title":"Integer Membership","stem":"Does 2 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"2 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0004","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1dfdedb327eea7152e80bc0a5222a1a857396d5c695d2a6536cb09479a0f85f1","family_id":"qf-integer-membership","seed":20260923,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-3\"}"},"fields":{"title":"Integer Membership","stem":"Does -3 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-3 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0005","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6fbccad10959cfe83d7aa65687fbdeb8ed734e2c27000c24c233830dd5d7b446","family_id":"qf-integer-membership","seed":20260924,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"4\"}"},"fields":{"title":"Integer Membership","stem":"Does 4 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"4 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0006","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a3ef8a647fa4b8a7338008059aba239f42f5fd499bac39921a64cabd35006030","family_id":"qf-integer-membership","seed":20260925,"semantic_template":"qf-integer-membership/{\"integer\":false,\"raw\":\"5.5\"}"},"fields":{"title":"Integer Membership","stem":"Does 5.5 belong to the integer set Z?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"5.5 is not an integer; decimal notation must not be classified by appearance alone."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0007","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"34bcc9b765cf36815a356e53a877d3693df8c3745f6c2f46a0490015d62e696a","family_id":"qf-integer-membership","seed":20260926,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"6\"}"},"fields":{"title":"Integer Membership","stem":"Does 6 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"6 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0008","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"261d660959003db265e1c9c425bad73587ceded06f724b03e39fcf33310de002","family_id":"qf-integer-membership","seed":20260927,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-7\"}"},"fields":{"title":"Integer Membership","stem":"Does -7 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-7 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0009","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"948348aa6595dd6d020271d9c1e296ac390ed597249a18550b0136d0d4f992b4","family_id":"qf-integer-membership","seed":20260928,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"8\"}"},"fields":{"title":"Integer Membership","stem":"Does 8 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"8 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0010","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5da8ca902010e3a3560b0860a43634906818d2e1bda4920381805a4f55909577","family_id":"qf-integer-membership","seed":20260929,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-9\"}"},"fields":{"title":"Integer Membership","stem":"Does -9 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-9 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0011","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a6e686f1d59f6a44659d726b7abb1213277268423cae02febc9c011138930b11","family_id":"qf-integer-membership","seed":20260930,"semantic_template":"qf-integer-membership/{\"integer\":false,\"raw\":\"10.5\"}"},"fields":{"title":"Integer Membership","stem":"Does 10.5 belong to the integer set Z?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"10.5 is not an integer; decimal notation must not be classified by appearance alone."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0012","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2dfde7c38228684d1b5ffe2b57fdf1fabdeedb3e10b68a1a759f2ad37193c932","family_id":"qf-integer-membership","seed":20260931,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-11\"}"},"fields":{"title":"Integer Membership","stem":"Does -11 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-11 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0013","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"cbbedd0f79847fa70ec762d6fc9040d81ac760b33fde9abb45221860576d3b49","family_id":"qf-integer-membership","seed":20260932,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"12\"}"},"fields":{"title":"Integer Membership","stem":"Does 12 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"12 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0014","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6f7d9871b3a7ffb944bb981b23d6f17e2ea509531559b573782f42eda353d9d5","family_id":"qf-integer-membership","seed":20260933,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-13\"}"},"fields":{"title":"Integer Membership","stem":"Does -13 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-13 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0015","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2f9fd6f9a84570af09119c5fb7f0ea841e801ae791935f3e3f45e5ffb0fc1a5e","family_id":"qf-integer-membership","seed":20260934,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"14\"}"},"fields":{"title":"Integer Membership","stem":"Does 14 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"14 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0016","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"297d76c1933e1982f7f13a6a9306482b41ee727b1e385f481385b27c23b72700","family_id":"qf-integer-membership","seed":20260935,"semantic_template":"qf-integer-membership/{\"integer\":false,\"raw\":\"15.5\"}"},"fields":{"title":"Integer Membership","stem":"Does 15.5 belong to the integer set Z?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"15.5 is not an integer; decimal notation must not be classified by appearance alone."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0017","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c45b6d2bb50d4397857dcd014e5dcdec62ef7fb7e7232f769c6a34d587f48f08","family_id":"qf-integer-membership","seed":20260936,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"16\"}"},"fields":{"title":"Integer Membership","stem":"Does 16 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"16 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0018","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"edb61c7fb1aad9fde27f48db657befd1ebbc59f00d6b9d9ae4b0c2cf0f78e31e","family_id":"qf-integer-membership","seed":20260937,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-17\"}"},"fields":{"title":"Integer Membership","stem":"Does -17 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-17 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0019","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ed3bed92a1f4fe4a51c4cb262542cc6ef105d790b9bb3f40fba8839409dd5b9f","family_id":"qf-integer-membership","seed":20260938,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"18\"}"},"fields":{"title":"Integer Membership","stem":"Does 18 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"18 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0020","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e08b8eb84dfdf25ba483520c9d14086043f76936da622264a7cff6a9671baf93","family_id":"qf-integer-membership","seed":20260939,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-19\"}"},"fields":{"title":"Integer Membership","stem":"Does -19 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-19 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0021","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7a522f58941e4de755d3f5ff8e4f49a31bd5438d40982d34cefb0607bbb713f2","family_id":"qf-integer-membership","seed":20260940,"semantic_template":"qf-integer-membership/{\"integer\":false,\"raw\":\"20.5\"}"},"fields":{"title":"Integer Membership","stem":"Does 20.5 belong to the integer set Z?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"20.5 is not an integer; decimal notation must not be classified by appearance alone."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0022","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b4cabf4344687ebc586b9821d23611c3a66db0bbe45e13f45b4edd5465ed9f46","family_id":"qf-integer-membership","seed":20260941,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-21\"}"},"fields":{"title":"Integer Membership","stem":"Does -21 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-21 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0023","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"30562f5f0d7cc6111f835abca8c09171e46d8cbb15eeacc9180035e8735d3275","family_id":"qf-integer-membership","seed":20260942,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"22\"}"},"fields":{"title":"Integer Membership","stem":"Does 22 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"22 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0024","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"118e45b6cc3ec20168ed295bcd463b803525beeee5150d0469a02aa1e7071a64","family_id":"qf-integer-membership","seed":20260943,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-23\"}"},"fields":{"title":"Integer Membership","stem":"Does -23 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"-23 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-membership-0025","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5f7f88c8ee173a2f60c4da15eeb44634008c09ea0784894b45bfee46571b3bab","family_id":"qf-integer-membership","seed":20260944,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"24\"}"},"fields":{"title":"Integer Membership","stem":"Does 24 belong to the integer set Z?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"24 is a positive integer, zero, or a negative integer, so it belongs to Z."},"skills":["integer membership"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0001","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3a7abd75432e208766b8e3b8d7ecde5cb1785b689421399e6f773144cc95de2d","family_id":"qf-integer-sign-classification","seed":20261020,"semantic_template":"qf-integer-sign-classification/{\"n\":0,\"sign\":\"零\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 0 positive, zero, or negative?","answer":{"kind":"choice","value":"Zero","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 0 is zero. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0002","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f6a1bea32478bcf1e8d5b90b4664db607f9c3cfa4901c1ec44a565d55e401ceb","family_id":"qf-integer-sign-classification","seed":20261021,"semantic_template":"qf-integer-sign-classification/{\"n\":-1,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -1 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -1 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0003","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"319900ebca88bf00c9fe1a78a3b4cb0a05bcf70082c8803d3eb860df1c2d1a40","family_id":"qf-integer-sign-classification","seed":20261022,"semantic_template":"qf-integer-sign-classification/{\"n\":2,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 2 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 2 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0004","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"637a960fdccfddb55486dcba1e2cd7f0577e838f198d7eb26c0cf8c4a8eadd00","family_id":"qf-integer-sign-classification","seed":20261023,"semantic_template":"qf-integer-sign-classification/{\"n\":-3,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -3 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -3 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0005","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e4aa1fe3a73a8c595e6e50e57c9a14f230226abb79029b7cf53c0e7b9349f9e9","family_id":"qf-integer-sign-classification","seed":20261024,"semantic_template":"qf-integer-sign-classification/{\"n\":4,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 4 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 4 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0006","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4ff28538b31ffd42cc4d81b4d021bdbdd3da8f8c8baab5698625498c75a2cd40","family_id":"qf-integer-sign-classification","seed":20261025,"semantic_template":"qf-integer-sign-classification/{\"n\":-5,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -5 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -5 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0007","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"43c9cb8de61d35091b7408e8e7a8994fe96897c15575304c332eb40be4deaa14","family_id":"qf-integer-sign-classification","seed":20261026,"semantic_template":"qf-integer-sign-classification/{\"n\":6,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 6 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 6 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0008","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d6576819cda673752db5fe435eecd03efc44a5dc355c6f2f13bcec32f4f39821","family_id":"qf-integer-sign-classification","seed":20261027,"semantic_template":"qf-integer-sign-classification/{\"n\":-7,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -7 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -7 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0009","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8d0c3c7a102aa629e810ac22a868678090eb535627154f57a4050d421340407a","family_id":"qf-integer-sign-classification","seed":20261028,"semantic_template":"qf-integer-sign-classification/{\"n\":8,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 8 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 8 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0010","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f476a3f79a981f78acd59f623b99e440b793ece301e09b6e34f69b18d62a77b6","family_id":"qf-integer-sign-classification","seed":20261029,"semantic_template":"qf-integer-sign-classification/{\"n\":-9,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -9 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -9 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0011","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5e267a3dbdd361274c5a3dfc3dd9baba40bbfae18891bef0e2434aaa37ac0ebc","family_id":"qf-integer-sign-classification","seed":20261030,"semantic_template":"qf-integer-sign-classification/{\"n\":10,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 10 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 10 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0012","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e0fc972f152527c2895d1e27d51941878bf4d6f78566a57752f3136aaa6542aa","family_id":"qf-integer-sign-classification","seed":20261031,"semantic_template":"qf-integer-sign-classification/{\"n\":-11,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -11 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -11 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0013","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e191c20bb8d02275dc8931ef377ba2710581e890cf645227ed585c418128c9ba","family_id":"qf-integer-sign-classification","seed":20261032,"semantic_template":"qf-integer-sign-classification/{\"n\":12,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 12 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 12 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0014","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ad476a529d4606c2d4683ff9b6327f59d39f3fa0a9d37b3778a79079f40baebf","family_id":"qf-integer-sign-classification","seed":20261033,"semantic_template":"qf-integer-sign-classification/{\"n\":-13,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -13 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -13 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0015","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"406483995f19c732dd403d324271d2b3615b8b8d66f9fc16165ffa792eee3cec","family_id":"qf-integer-sign-classification","seed":20261034,"semantic_template":"qf-integer-sign-classification/{\"n\":14,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 14 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 14 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0016","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d1129b4d388cc5ca783c5ee2f445095481c50407381bf8c5d07018b41b29e80f","family_id":"qf-integer-sign-classification","seed":20261035,"semantic_template":"qf-integer-sign-classification/{\"n\":-15,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -15 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -15 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0017","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4034f056503963cd953b53727bc068c01f6495ead7259e5e2ecc2a2391990668","family_id":"qf-integer-sign-classification","seed":20261036,"semantic_template":"qf-integer-sign-classification/{\"n\":16,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 16 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 16 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0018","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"be1862460e715e940effda4dd32e254d83a0c5546d2c1c88e3b0dd707c3469ef","family_id":"qf-integer-sign-classification","seed":20261037,"semantic_template":"qf-integer-sign-classification/{\"n\":-17,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -17 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -17 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0019","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2bfb70db0eab76be529a70ea0e64672ca6a2a7d3ecc8321a953a80740fde2f8e","family_id":"qf-integer-sign-classification","seed":20261038,"semantic_template":"qf-integer-sign-classification/{\"n\":18,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 18 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 18 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0020","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"76adda92342f310a3195984992241e7e304d6bd80f03f1bfd97f12e49a08291b","family_id":"qf-integer-sign-classification","seed":20261039,"semantic_template":"qf-integer-sign-classification/{\"n\":-19,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -19 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -19 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0021","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f89da31bc7925c2abf1c6ae5ca61e096e911aa6a05144f34a901f42b4c5390c3","family_id":"qf-integer-sign-classification","seed":20261040,"semantic_template":"qf-integer-sign-classification/{\"n\":20,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 20 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 20 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0022","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1c98211edb66b4068874900f57902b1b88cac61ebd818820b79e3ba7b2f93d22","family_id":"qf-integer-sign-classification","seed":20261041,"semantic_template":"qf-integer-sign-classification/{\"n\":-21,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -21 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -21 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0023","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a2e9d18bf4560b03d1983d1ca2be3ea851d61092aed1b6b8ecff37a87aac0a25","family_id":"qf-integer-sign-classification","seed":20261042,"semantic_template":"qf-integer-sign-classification/{\"n\":22,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 22 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 22 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0024","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c8468fa910ad5af7fb230f983f3831fefd2f9a9095262edadb1552db40e5efc4","family_id":"qf-integer-sign-classification","seed":20261043,"semantic_template":"qf-integer-sign-classification/{\"n\":-23,\"sign\":\"負\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer -23 positive, zero, or negative?","answer":{"kind":"choice","value":"Negative","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, -23 is negative. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-sign-classification-0025","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"24cd1d7015c3e8559695adefe844c0212b3bbfd23426428af5caa5f941dbe4ab","family_id":"qf-integer-sign-classification","seed":20261044,"semantic_template":"qf-integer-sign-classification/{\"n\":24,\"sign\":\"正\"}"},"fields":{"title":"Integer Sign Classification","stem":"Relative to 0, is the integer 24 positive, zero, or negative?","answer":{"kind":"choice","value":"Positive","choices":["Positive","Zero","Negative"],"explanation":"Relative to 0, 24 is positive. Zero is neither positive nor negative."},"skills":["integer sign"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0001","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"14df44a024dc7621c30a60be8622b80cf6093a64332ebfb9dac9a6ad1a86e8c7","family_id":"qf-integer-opposite","seed":20261120,"semantic_template":"qf-integer-opposite/{\"n\":0,\"opposite\":0}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 0?","answer":{"kind":"numeric","value":0,"explanation":"0+0=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0002","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c9236884a48be6ca4ca2c02371f227c34ac1aa8557dbe14268e58a64c9691fc1","family_id":"qf-integer-opposite","seed":20261121,"semantic_template":"qf-integer-opposite/{\"n\":-1,\"opposite\":1}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -1?","answer":{"kind":"numeric","value":1,"explanation":"-1+1=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0003","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6d913f3f4d57be5e5de4cfda61eb50a4faf99045e34cf849bbe484eecbed1f58","family_id":"qf-integer-opposite","seed":20261122,"semantic_template":"qf-integer-opposite/{\"n\":2,\"opposite\":-2}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 2?","answer":{"kind":"numeric","value":-2,"explanation":"2+-2=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0004","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"637d761d8b034a49fd50de652307f90365425300125e9b1893e47d205ab7a87b","family_id":"qf-integer-opposite","seed":20261123,"semantic_template":"qf-integer-opposite/{\"n\":-3,\"opposite\":3}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -3?","answer":{"kind":"numeric","value":3,"explanation":"-3+3=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0005","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"72a9dacdbb62e7c39daf281a353574d279c661d4e97ed50e94ac99e6c336feef","family_id":"qf-integer-opposite","seed":20261124,"semantic_template":"qf-integer-opposite/{\"n\":4,\"opposite\":-4}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 4?","answer":{"kind":"numeric","value":-4,"explanation":"4+-4=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0006","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8c403653ddfff49acf9e3cb0c6342324e95e183b91e6da7aa44cc663c22724c2","family_id":"qf-integer-opposite","seed":20261125,"semantic_template":"qf-integer-opposite/{\"n\":-5,\"opposite\":5}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -5?","answer":{"kind":"numeric","value":5,"explanation":"-5+5=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0007","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7d13912ad15ee462d33860fc5e1281c422d8b467d83a3774f6f42428ea521beb","family_id":"qf-integer-opposite","seed":20261126,"semantic_template":"qf-integer-opposite/{\"n\":6,\"opposite\":-6}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 6?","answer":{"kind":"numeric","value":-6,"explanation":"6+-6=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0008","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2ef8ba4ff4118c496adfd6ded726a93f12e9eab7ac8ca6ba9d77706332ad9f2e","family_id":"qf-integer-opposite","seed":20261127,"semantic_template":"qf-integer-opposite/{\"n\":-7,\"opposite\":7}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -7?","answer":{"kind":"numeric","value":7,"explanation":"-7+7=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0009","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e62481c0ac43f23def1f355c1ac45fb1b555064a6e5527e0f1cc4c605068b042","family_id":"qf-integer-opposite","seed":20261128,"semantic_template":"qf-integer-opposite/{\"n\":8,\"opposite\":-8}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 8?","answer":{"kind":"numeric","value":-8,"explanation":"8+-8=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0010","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3cec263915190a358ac0185e18676b8e3263f586c5f5ec2e063dce020e70497f","family_id":"qf-integer-opposite","seed":20261129,"semantic_template":"qf-integer-opposite/{\"n\":-9,\"opposite\":9}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -9?","answer":{"kind":"numeric","value":9,"explanation":"-9+9=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0011","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"584580a08c388786f586c360c75921a921ec834d97d4b0641168375916334729","family_id":"qf-integer-opposite","seed":20261130,"semantic_template":"qf-integer-opposite/{\"n\":10,\"opposite\":-10}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 10?","answer":{"kind":"numeric","value":-10,"explanation":"10+-10=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0012","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"87a01a036dddf4c9cb04cbf044fa24f0834f9465c3b258fc48d3cb33655e9cd7","family_id":"qf-integer-opposite","seed":20261131,"semantic_template":"qf-integer-opposite/{\"n\":-11,\"opposite\":11}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -11?","answer":{"kind":"numeric","value":11,"explanation":"-11+11=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0013","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"176cd12dff3234adbc5773187f3e326be15a8bc28ed5923644210b81a738b5db","family_id":"qf-integer-opposite","seed":20261132,"semantic_template":"qf-integer-opposite/{\"n\":12,\"opposite\":-12}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 12?","answer":{"kind":"numeric","value":-12,"explanation":"12+-12=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0014","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e1ff8e7b2f69f7bc254e0c09125a8f76bd47c38fa4e8dbc19b85cea486af4753","family_id":"qf-integer-opposite","seed":20261133,"semantic_template":"qf-integer-opposite/{\"n\":-13,\"opposite\":13}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -13?","answer":{"kind":"numeric","value":13,"explanation":"-13+13=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0015","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f5bf5db09ae290a97b786342a83994a96c6112116ffa0d801c1e7f0f12bb53a6","family_id":"qf-integer-opposite","seed":20261134,"semantic_template":"qf-integer-opposite/{\"n\":14,\"opposite\":-14}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 14?","answer":{"kind":"numeric","value":-14,"explanation":"14+-14=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0016","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ea1413c38dba3be7cf4e72058d18e269267dce179e2c89f6219441a0f400242c","family_id":"qf-integer-opposite","seed":20261135,"semantic_template":"qf-integer-opposite/{\"n\":-15,\"opposite\":15}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -15?","answer":{"kind":"numeric","value":15,"explanation":"-15+15=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0017","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4b6469543855394d80450e2b30a3210013932831ee69eeff6cf7cb28b087ffaf","family_id":"qf-integer-opposite","seed":20261136,"semantic_template":"qf-integer-opposite/{\"n\":16,\"opposite\":-16}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 16?","answer":{"kind":"numeric","value":-16,"explanation":"16+-16=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0018","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"71b5a6de840c78a8d4492ebfe45f01327c34cf34773bf12a02538a4162b2889e","family_id":"qf-integer-opposite","seed":20261137,"semantic_template":"qf-integer-opposite/{\"n\":-17,\"opposite\":17}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -17?","answer":{"kind":"numeric","value":17,"explanation":"-17+17=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0019","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4c6cd51ecd4acb544b5eddec9e954d5591cba87fa4eb341cd1a60c7c6113ae5a","family_id":"qf-integer-opposite","seed":20261138,"semantic_template":"qf-integer-opposite/{\"n\":18,\"opposite\":-18}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 18?","answer":{"kind":"numeric","value":-18,"explanation":"18+-18=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0020","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b26205c335ee240966b5cdcc4785ecbc3b7b4921fb41298ad4712948568de306","family_id":"qf-integer-opposite","seed":20261139,"semantic_template":"qf-integer-opposite/{\"n\":-19,\"opposite\":19}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -19?","answer":{"kind":"numeric","value":19,"explanation":"-19+19=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0021","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"73f39de0566c86725dcedf0d54e48543020357e9dad252d188d4d0b575d603ab","family_id":"qf-integer-opposite","seed":20261140,"semantic_template":"qf-integer-opposite/{\"n\":20,\"opposite\":-20}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 20?","answer":{"kind":"numeric","value":-20,"explanation":"20+-20=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0022","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4c6fc18634a5407408dfe4bf46c010242e5927a1f764ac2c9f2a23be0e23e981","family_id":"qf-integer-opposite","seed":20261141,"semantic_template":"qf-integer-opposite/{\"n\":-21,\"opposite\":21}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -21?","answer":{"kind":"numeric","value":21,"explanation":"-21+21=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0023","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5a579d6e22293fa937aabf04abbf4cd587d94604b3d430ff4f96f196cd95866b","family_id":"qf-integer-opposite","seed":20261142,"semantic_template":"qf-integer-opposite/{\"n\":22,\"opposite\":-22}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 22?","answer":{"kind":"numeric","value":-22,"explanation":"22+-22=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0024","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"df2182dc9894d17904a84cc49d272c4593244afe07885ffc54407d014208eb7b","family_id":"qf-integer-opposite","seed":20261143,"semantic_template":"qf-integer-opposite/{\"n\":-23,\"opposite\":23}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of -23?","answer":{"kind":"numeric","value":23,"explanation":"-23+23=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-integer-opposite-0025","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"75bc13981437c31c8c45df10564dab57306c0a269720ade7cce6577df47e2476","family_id":"qf-integer-opposite","seed":20261144,"semantic_template":"qf-integer-opposite/{\"n\":24,\"opposite\":-24}"},"fields":{"title":"Additive Opposite","stem":"What is the additive opposite of 24?","answer":{"kind":"numeric","value":-24,"explanation":"24+-24=0. This is the additive opposite, not a reciprocal or absolute value."},"skills":["additive opposite"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0001","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f1cdf71e3f3412b705f81401b828d8a9365c3d8f4212685d31755dc9811e5b85","family_id":"qf-signed-context-integer","seed":20261220,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":0,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 0?","answer":{"kind":"numeric","value":0,"explanation":"The zero point and positive direction are explicit, so 0 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0002","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"14d863452157931d02212463c1c726ef7065198eef3a1ac388c75fe882b1b6b5","family_id":"qf-signed-context-integer","seed":20261221,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-1,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -1?","answer":{"kind":"numeric","value":-1,"explanation":"The zero point and positive direction are explicit, so -1 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0003","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ff785062e07c7dcb57184203ca35595703d46688d0fcc0ef50756a856a1cf378","family_id":"qf-signed-context-integer","seed":20261222,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":2,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 2?","answer":{"kind":"numeric","value":2,"explanation":"The zero point and positive direction are explicit, so 2 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0004","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c60c01bb0aea27f5ce9dea1e3fbd1bf391506d1d8ef6daa99615bd6c4d8b4029","family_id":"qf-signed-context-integer","seed":20261223,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-3,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -3?","answer":{"kind":"numeric","value":-3,"explanation":"The zero point and positive direction are explicit, so -3 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0005","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"17462d3583f6c48e5eb0ce41c414cbb57fd0690d49553829b9ee88f472dd6430","family_id":"qf-signed-context-integer","seed":20261224,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":4,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 4?","answer":{"kind":"numeric","value":4,"explanation":"The zero point and positive direction are explicit, so 4 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0006","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1313108392e9d88f5e3f269db9cbaa14c0d422e38ed111b0af2c88a7e9ab7ecd","family_id":"qf-signed-context-integer","seed":20261225,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-5,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -5?","answer":{"kind":"numeric","value":-5,"explanation":"The zero point and positive direction are explicit, so -5 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0007","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"392aead221a28c2fdf5a7ea9da543ba06fa1b0ac550ccc8ab71a20893b876d29","family_id":"qf-signed-context-integer","seed":20261226,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":6,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 6?","answer":{"kind":"numeric","value":6,"explanation":"The zero point and positive direction are explicit, so 6 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0008","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2fa18e044a07b695c445184886b3f80262214503a4591389f22f96dab57f7c18","family_id":"qf-signed-context-integer","seed":20261227,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-7,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -7?","answer":{"kind":"numeric","value":-7,"explanation":"The zero point and positive direction are explicit, so -7 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0009","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d2633fa4ca5de6b805f442623e8c6e382aaf4fc6bbe01d7df406b49c63e9a9cd","family_id":"qf-signed-context-integer","seed":20261228,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":8,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 8?","answer":{"kind":"numeric","value":8,"explanation":"The zero point and positive direction are explicit, so 8 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0010","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3b94b7e31ce1f8ee3932b376efc57212c00ee0399abf4b36ceed3cf903b0fc1d","family_id":"qf-signed-context-integer","seed":20261229,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-9,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -9?","answer":{"kind":"numeric","value":-9,"explanation":"The zero point and positive direction are explicit, so -9 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0011","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3aee3a5f35f704a83c10912d5092d61c86efa44d5eb1f79c597a55ef276ec4a8","family_id":"qf-signed-context-integer","seed":20261230,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":10,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 10?","answer":{"kind":"numeric","value":10,"explanation":"The zero point and positive direction are explicit, so 10 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0012","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"92ed652ebe95c4cfd1fdade598ad36aab7d448b5764c53b9396306fe8516cd1b","family_id":"qf-signed-context-integer","seed":20261231,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-11,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -11?","answer":{"kind":"numeric","value":-11,"explanation":"The zero point and positive direction are explicit, so -11 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0013","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"411b42ecc7ddbe1c412b098491a9a2c7f69a606ff60caa321955f6256fdf3a43","family_id":"qf-signed-context-integer","seed":20261232,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":12,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 12?","answer":{"kind":"numeric","value":12,"explanation":"The zero point and positive direction are explicit, so 12 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0014","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"777aba9dd5c4f5c6c80eb9bcccb9bedd81d3692b3153b0068a2f6de55dd1cb51","family_id":"qf-signed-context-integer","seed":20261233,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-13,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -13?","answer":{"kind":"numeric","value":-13,"explanation":"The zero point and positive direction are explicit, so -13 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0015","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"59a2488d7845c534a84a6de35be52a3fb94bad4a6616c2f7aa2aea72d85b3e0d","family_id":"qf-signed-context-integer","seed":20261234,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":14,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 14?","answer":{"kind":"numeric","value":14,"explanation":"The zero point and positive direction are explicit, so 14 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0016","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4b4d94ece04b2d301621328d5baa1496fe9fc679fb9f4348d374940115ae2128","family_id":"qf-signed-context-integer","seed":20261235,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-15,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -15?","answer":{"kind":"numeric","value":-15,"explanation":"The zero point and positive direction are explicit, so -15 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0017","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c42724a4fb0d2a6e8a7a147e416ead4ddb93df9fe655fb55576eb9c3289b7a28","family_id":"qf-signed-context-integer","seed":20261236,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":16,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 16?","answer":{"kind":"numeric","value":16,"explanation":"The zero point and positive direction are explicit, so 16 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0018","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8d8d327a88ee176b231d39f189d954c06f1fb7e31519e854caf9f33b63d94493","family_id":"qf-signed-context-integer","seed":20261237,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-17,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -17?","answer":{"kind":"numeric","value":-17,"explanation":"The zero point and positive direction are explicit, so -17 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0019","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ae8e7faa06980b16ad6d1e6402dbbe53e43f04c7de536177dae63a61593ae6ef","family_id":"qf-signed-context-integer","seed":20261238,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":18,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 18?","answer":{"kind":"numeric","value":18,"explanation":"The zero point and positive direction are explicit, so 18 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0020","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6d7cf409d99d9134f8611b464d6f2716e2bee8186f555d6518c174c71b3dc687","family_id":"qf-signed-context-integer","seed":20261239,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-19,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -19?","answer":{"kind":"numeric","value":-19,"explanation":"The zero point and positive direction are explicit, so -19 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0021","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d49ab91b9cfb3cfc770472093187fd2fa3b626995d38acf64405c54867ba9875","family_id":"qf-signed-context-integer","seed":20261240,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":20,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 20?","answer":{"kind":"numeric","value":20,"explanation":"The zero point and positive direction are explicit, so 20 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0022","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9577348a6215356fe6f50c90d14f2ca391b3034e1a8e5cde93abaf0a81b88d81","family_id":"qf-signed-context-integer","seed":20261241,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-21,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -21?","answer":{"kind":"numeric","value":-21,"explanation":"The zero point and positive direction are explicit, so -21 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0023","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f847f1789ba8b2fae250204d026284805892b86be2e2fe6f3dab64b23d2d7f40","family_id":"qf-signed-context-integer","seed":20261242,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":22,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 22?","answer":{"kind":"numeric","value":22,"explanation":"The zero point and positive direction are explicit, so 22 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0024","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1b7811588a9a4d3a49d092b2bb77dc05cb641a9f5396c7c3ac383dab2eae4ac8","family_id":"qf-signed-context-integer","seed":20261243,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-23,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -23?","answer":{"kind":"numeric","value":-23,"explanation":"The zero point and positive direction are explicit, so -23 floors directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260919-signed-context-integer-0025","batch_id":"batch-20260919-integer-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"cdab5e9b7e7fc35e4001d0985d62b777240dc1c9f286f7eecac9e645e30248c7","family_id":"qf-signed-context-integer","seed":20261244,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":24,\"zero\":\"入口\"}"},"fields":{"title":"Integer in a Signed Context","stem":"The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 24?","answer":{"kind":"numeric","value":24,"explanation":"The zero point and positive direction are explicit, so 24 metres directly represents the signed displacement. No unit conversion is introduced."},"skills":["signed contexts"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}