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Question: 45 + 50
Think: Split 50 into 50 and 0. 45 + 50 = 95 -> 95 + 0 = 95.
Result: 95 |
Question: 3 + 17
Answer: 20 |
Question: 86 + 47
Think: Split 47 into 40 and 7. 86 + 40 = 126 -> 126 + 7 = 133.
Result: 133 |
Question: 33 + 17
Think: Split 17 into 10 and 7. 33 + 10 = 43 -> 43 + 7 = 50.
Result: 50 |
Question: 63643 + 60349
Think: Split 60349 into 60000 then 300 then 40 then 9. 63643 + 60000 = 123643 -> 123643 + 300 = 123943 -> 123943 + 40 = 123983 -> 123983 + 9 = 123992
Result: 123992 |
Question: 77782 + 66656
Think: Split 66656 into 60000 then 6000 then 600 then 50 then 6. 77782 + 60000 = 137782 -> 137782 + 6000 = 143782 -> 143782 + 600 = 144382 -> 144382 + 50 = 144432 -> 144432 + 6 = 144438
Result: 144438 |
Question: 81 + 43
Think: Split 43 into 40 and 3. 81 + 40 = 121 -> 121 + 3 = 124.
Result: 124 |
Question: 14 + 0
Answer: 14 |
Question: 63 + 49
Think: Split 49 into 40 and 9. 63 + 40 = 103 -> 103 + 9 = 112.
Result: 112 |
Question: 33260 + 55536
Think: Split 55536 into 50000 then 5000 then 500 then 30 then 6. 33260 + 50000 = 83260 -> 83260 + 5000 = 88260 -> 88260 + 500 = 88760 -> 88760 + 30 = 88790 -> 88790 + 6 = 88796
Result: 88796 |
Question: 16563 + 35081
Think: Split 35081 into 30000 then 5000 then 80 then 1. 16563 + 30000 = 46563 -> 46563 + 5000 = 51563 -> 51563 + 80 = 51643 -> 51643 + 1 = 51644
Result: 51644 |
Question: 81286 + 89677
Think: Split 89677 into 80000 then 9000 then 600 then 70 then 7. 81286 + 80000 = 161286 -> 161286 + 9000 = 170286 -> 170286 + 600 = 170886 -> 170886 + 70 = 170956 -> 170956 + 7 = 170963
Result: 170963 |
Question: 84601 + 35771
Think: Split 35771 into 30000 then 5000 then 700 then 70 then 1. 84601 + 30000 = 114601 -> 114601 + 5000 = 119601 -> 119601 + 700 = 120301 -> 120301 + 70 = 120371 -> 120371 + 1 = 120372
Result: 120372 |
Question: 25728 + 14433
Think: Split 14433 into 10000 then 4000 then 400 then 30 then 3. 25728 + 10000 = 35728 -> 35728 + 4000 = 39728 -> 39728 + 400 = 40128 -> 40128 + 30 = 40158 -> 40158 + 3 = 40161
Result: 40161 |
Question: 6 + 12
Answer: 18 |
Question: 73 + 39
Think: Split 39 into 30 and 9. 73 + 30 = 103 -> 103 + 9 = 112.
Result: 112 |
Question: 32 + 33
Think: Split 33 into 30 and 3. 32 + 30 = 62 -> 62 + 3 = 65.
Result: 65 |
Question: 14 + 26
Think: Split 26 into 20 and 6. 14 + 20 = 34 -> 34 + 6 = 40.
Result: 40 |
Question: 15 + 13
Answer: 28 |
Question: 20 + 45
Think: Split 45 into 40 and 5. 20 + 40 = 60 -> 60 + 5 = 65.
Result: 65 |
Question: 79773 + 73310
Think: Split 73310 into 70000 then 3000 then 300 then 10. 79773 + 70000 = 149773 -> 149773 + 3000 = 152773 -> 152773 + 300 = 153073 -> 153073 + 10 = 153083
Result: 153083 |
Question: 5 + 3
Answer: 8 |
Question: 72 + 25
Think: Split 25 into 20 and 5. 72 + 20 = 92 -> 92 + 5 = 97.
Result: 97 |
Question: 66518 + 42243
Think: Split 42243 into 40000 then 2000 then 200 then 40 then 3. 66518 + 40000 = 106518 -> 106518 + 2000 = 108518 -> 108518 + 200 = 108718 -> 108718 + 40 = 108758 -> 108758 + 3 = 108761
Result: 108761 |
Question: 19211 + 72753
Think: Split 72753 into 70000 then 2000 then 700 then 50 then 3. 19211 + 70000 = 89211 -> 89211 + 2000 = 91211 -> 91211 + 700 = 91911 -> 91911 + 50 = 91961 -> 91961 + 3 = 91964
Result: 91964 |
Question: 94 + 23
Think: Split 23 into 20 and 3. 94 + 20 = 114 -> 114 + 3 = 117.
Result: 117 |
Question: 50353 + 55205
Think: Split 55205 into 50000 then 5000 then 200 then 5. 50353 + 50000 = 100353 -> 100353 + 5000 = 105353 -> 105353 + 200 = 105553 -> 105553 + 5 = 105558
Result: 105558 |
Question: 0 + 15
Answer: 15 |
Question: 9 + 15
Answer: 24 |
Question: 17 + 18
Answer: 35 |
Question: 52331 + 19715
Think: Split 19715 into 10000 then 9000 then 700 then 10 then 5. 52331 + 10000 = 62331 -> 62331 + 9000 = 71331 -> 71331 + 700 = 72031 -> 72031 + 10 = 72041 -> 72041 + 5 = 72046
Result: 72046 |
Question: 58010 + 39755
Think: Split 39755 into 30000 then 9000 then 700 then 50 then 5. 58010 + 30000 = 88010 -> 88010 + 9000 = 97010 -> 97010 + 700 = 97710 -> 97710 + 50 = 97760 -> 97760 + 5 = 97765
Result: 97765 |
Question: 45435 + 64380
Think: Split 64380 into 60000 then 4000 then 300 then 80. 45435 + 60000 = 105435 -> 105435 + 4000 = 109435 -> 109435 + 300 = 109735 -> 109735 + 80 = 109815
Result: 109815 |
Question: 92 + 20
Think: Split 20 into 20 and 0. 92 + 20 = 112 -> 112 + 0 = 112.
Result: 112 |
Question: 92610 + 81340
Think: Split 81340 into 80000 then 1000 then 300 then 40. 92610 + 80000 = 172610 -> 172610 + 1000 = 173610 -> 173610 + 300 = 173910 -> 173910 + 40 = 173950
Result: 173950 |
Question: 11 + 8
Answer: 19 |
Question: 25284 + 94462
Think: Split 94462 into 90000 then 4000 then 400 then 60 then 2. 25284 + 90000 = 115284 -> 115284 + 4000 = 119284 -> 119284 + 400 = 119684 -> 119684 + 60 = 119744 -> 119744 + 2 = 119746
Result: 119746 |
Question: 78 + 34
Think: Split 34 into 30 and 4. 78 + 30 = 108 -> 108 + 4 = 112.
Result: 112 |
Question: 29 + 13
Think: Split 13 into 10 and 3. 29 + 10 = 39 -> 39 + 3 = 42.
Result: 42 |
Question: 54 + 36
Think: Split 36 into 30 and 6. 54 + 30 = 84 -> 84 + 6 = 90.
Result: 90 |
Question: 15 + 31
Think: Split 31 into 30 and 1. 15 + 30 = 45 -> 45 + 1 = 46.
Result: 46 |
Question: 17466 + 72178
Think: Split 72178 into 70000 then 2000 then 100 then 70 then 8. 17466 + 70000 = 87466 -> 87466 + 2000 = 89466 -> 89466 + 100 = 89566 -> 89566 + 70 = 89636 -> 89636 + 8 = 89644
Result: 89644 |
Question: 74818 + 32481
Think: Split 32481 into 30000 then 2000 then 400 then 80 then 1. 74818 + 30000 = 104818 -> 104818 + 2000 = 106818 -> 106818 + 400 = 107218 -> 107218 + 80 = 107298 -> 107298 + 1 = 107299
Result: 107299 |
Question: 4 + 0
Answer: 4 |
Question: 4 + 5
Answer: 9 |
Question: 0 + 2
Answer: 2 |
Question: 5698 + 14475
Think: Split 14475 into 10000 then 4000 then 400 then 70 then 5. 5698 + 10000 = 15698 -> 15698 + 4000 = 19698 -> 19698 + 400 = 20098 -> 20098 + 70 = 20168 -> 20168 + 5 = 20173
Result: 20173 |
Question: 17 + 29
Think: Split 29 into 20 and 9. 17 + 20 = 37 -> 37 + 9 = 46.
Result: 46 |
Question: 70033 + 56678
Think: Split 56678 into 50000 then 6000 then 600 then 70 then 8. 70033 + 50000 = 120033 -> 120033 + 6000 = 126033 -> 126033 + 600 = 126633 -> 126633 + 70 = 126703 -> 126703 + 8 = 126711
Result: 126711 |
Question: 0 + 15
Answer: 15 |
Question: 9 + 3
Answer: 12 |
Question: 96 + 19
Think: Split 19 into 10 and 9. 96 + 10 = 106 -> 106 + 9 = 115.
Result: 115 |
Question: 52864 + 37692
Think: Split 37692 into 30000 then 7000 then 600 then 90 then 2. 52864 + 30000 = 82864 -> 82864 + 7000 = 89864 -> 89864 + 600 = 90464 -> 90464 + 90 = 90554 -> 90554 + 2 = 90556
Result: 90556 |
Question: 12 + 2
Answer: 14 |
Question: 15 + 19
Answer: 34 |
Question: 18 + 2
Answer: 20 |
Question: 8 + 10
Answer: 18 |
Question: 86 + 32
Think: Split 32 into 30 and 2. 86 + 30 = 116 -> 116 + 2 = 118.
Result: 118 |
Question: 75427 + 60444
Think: Split 60444 into 60000 then 400 then 40 then 4. 75427 + 60000 = 135427 -> 135427 + 400 = 135827 -> 135827 + 40 = 135867 -> 135867 + 4 = 135871
Result: 135871 |
Question: 5268 + 21117
Think: Split 21117 into 20000 then 1000 then 100 then 10 then 7. 5268 + 20000 = 25268 -> 25268 + 1000 = 26268 -> 26268 + 100 = 26368 -> 26368 + 10 = 26378 -> 26378 + 7 = 26385
Result: 26385 |
Question: 26128 + 34819
Think: Split 34819 into 30000 then 4000 then 800 then 10 then 9. 26128 + 30000 = 56128 -> 56128 + 4000 = 60128 -> 60128 + 800 = 60928 -> 60928 + 10 = 60938 -> 60938 + 9 = 60947
Result: 60947 |
Question: 4 + 11
Answer: 15 |
Question: 69672 + 27563
Think: Split 27563 into 20000 then 7000 then 500 then 60 then 3. 69672 + 20000 = 89672 -> 89672 + 7000 = 96672 -> 96672 + 500 = 97172 -> 97172 + 60 = 97232 -> 97232 + 3 = 97235
Result: 97235 |
Question: 2526 + 59924
Think: Split 59924 into 50000 then 9000 then 900 then 20 then 4. 2526 + 50000 = 52526 -> 52526 + 9000 = 61526 -> 61526 + 900 = 62426 -> 62426 + 20 = 62446 -> 62446 + 4 = 62450
Result: 62450 |
Question: 17 + 36
Think: Split 36 into 30 and 6. 17 + 30 = 47 -> 47 + 6 = 53.
Result: 53 |
Question: 42818 + 68481
Think: Split 68481 into 60000 then 8000 then 400 then 80 then 1. 42818 + 60000 = 102818 -> 102818 + 8000 = 110818 -> 110818 + 400 = 111218 -> 111218 + 80 = 111298 -> 111298 + 1 = 111299
Result: 111299 |
Question: 14 + 2
Answer: 16 |
Question: 99105 + 68028
Think: Split 68028 into 60000 then 8000 then 20 then 8. 99105 + 60000 = 159105 -> 159105 + 8000 = 167105 -> 167105 + 20 = 167125 -> 167125 + 8 = 167133
Result: 167133 |
Question: 29898 + 69758
Think: Split 69758 into 60000 then 9000 then 700 then 50 then 8. 29898 + 60000 = 89898 -> 89898 + 9000 = 98898 -> 98898 + 700 = 99598 -> 99598 + 50 = 99648 -> 99648 + 8 = 99656
Result: 99656 |
Question: 21028 + 14966
Think: Split 14966 into 10000 then 4000 then 900 then 60 then 6. 21028 + 10000 = 31028 -> 31028 + 4000 = 35028 -> 35028 + 900 = 35928 -> 35928 + 60 = 35988 -> 35988 + 6 = 35994
Result: 35994 |
Question: 11 + 8
Answer: 19 |
Question: 14 + 15
Answer: 29 |
Question: 0 + 12
Answer: 12 |
Question: 68461 + 64797
Think: Split 64797 into 60000 then 4000 then 700 then 90 then 7. 68461 + 60000 = 128461 -> 128461 + 4000 = 132461 -> 132461 + 700 = 133161 -> 133161 + 90 = 133251 -> 133251 + 7 = 133258
Result: 133258 |
Question: 41457 + 31829
Think: Split 31829 into 30000 then 1000 then 800 then 20 then 9. 41457 + 30000 = 71457 -> 71457 + 1000 = 72457 -> 72457 + 800 = 73257 -> 73257 + 20 = 73277 -> 73277 + 9 = 73286
Result: 73286 |
Question: 42801 + 56243
Think: Split 56243 into 50000 then 6000 then 200 then 40 then 3. 42801 + 50000 = 92801 -> 92801 + 6000 = 98801 -> 98801 + 200 = 99001 -> 99001 + 40 = 99041 -> 99041 + 3 = 99044
Result: 99044 |
Question: 15 + 43
Think: Split 43 into 40 and 3. 15 + 40 = 55 -> 55 + 3 = 58.
Result: 58 |
Question: 66237 + 77904
Think: Split 77904 into 70000 then 7000 then 900 then 4. 66237 + 70000 = 136237 -> 136237 + 7000 = 143237 -> 143237 + 900 = 144137 -> 144137 + 4 = 144141
Result: 144141 |
Question: 68 + 11
Think: Split 11 into 10 and 1. 68 + 10 = 78 -> 78 + 1 = 79.
Result: 79 |
Question: 14304 + 67959
Think: Split 67959 into 60000 then 7000 then 900 then 50 then 9. 14304 + 60000 = 74304 -> 74304 + 7000 = 81304 -> 81304 + 900 = 82204 -> 82204 + 50 = 82254 -> 82254 + 9 = 82263
Result: 82263 |
Question: 80210 + 54265
Think: Split 54265 into 50000 then 4000 then 200 then 60 then 5. 80210 + 50000 = 130210 -> 130210 + 4000 = 134210 -> 134210 + 200 = 134410 -> 134410 + 60 = 134470 -> 134470 + 5 = 134475
Result: 134475 |
Question: 23055 + 32583
Think: Split 32583 into 30000 then 2000 then 500 then 80 then 3. 23055 + 30000 = 53055 -> 53055 + 2000 = 55055 -> 55055 + 500 = 55555 -> 55555 + 80 = 55635 -> 55635 + 3 = 55638
Result: 55638 |
Question: 48 + 45
Think: Split 45 into 40 and 5. 48 + 40 = 88 -> 88 + 5 = 93.
Result: 93 |
Question: 95195 + 76575
Think: Split 76575 into 70000 then 6000 then 500 then 70 then 5. 95195 + 70000 = 165195 -> 165195 + 6000 = 171195 -> 171195 + 500 = 171695 -> 171695 + 70 = 171765 -> 171765 + 5 = 171770
Result: 171770 |
Question: 27 + 21
Think: Split 21 into 20 and 1. 27 + 20 = 47 -> 47 + 1 = 48.
Result: 48 |
Question: 56138 + 59608
Think: Split 59608 into 50000 then 9000 then 600 then 8. 56138 + 50000 = 106138 -> 106138 + 9000 = 115138 -> 115138 + 600 = 115738 -> 115738 + 8 = 115746
Result: 115746 |
Question: 61002 + 53526
Think: Split 53526 into 50000 then 3000 then 500 then 20 then 6. 61002 + 50000 = 111002 -> 111002 + 3000 = 114002 -> 114002 + 500 = 114502 -> 114502 + 20 = 114522 -> 114522 + 6 = 114528
Result: 114528 |
Question: 24 + 28
Think: Split 28 into 20 and 8. 24 + 20 = 44 -> 44 + 8 = 52.
Result: 52 |
Question: 24631 + 8506
Think: Split 8506 into 8000 then 500 then 6. 24631 + 8000 = 32631 -> 32631 + 500 = 33131 -> 33131 + 6 = 33137
Result: 33137 |
Question: 18 + 17
Answer: 35 |
Question: 77553 + 38690
Think: Split 38690 into 30000 then 8000 then 600 then 90. 77553 + 30000 = 107553 -> 107553 + 8000 = 115553 -> 115553 + 600 = 116153 -> 116153 + 90 = 116243
Result: 116243 |
Question: 45142 + 75858
Think: Split 75858 into 70000 then 5000 then 800 then 50 then 8. 45142 + 70000 = 115142 -> 115142 + 5000 = 120142 -> 120142 + 800 = 120942 -> 120942 + 50 = 120992 -> 120992 + 8 = 121000
Result: 121000 |
Question: 78 + 48
Think: Split 48 into 40 and 8. 78 + 40 = 118 -> 118 + 8 = 126.
Result: 126 |
Question: 17915 + 38600
Think: Split 38600 into 30000 then 8000 then 600. 17915 + 30000 = 47915 -> 47915 + 8000 = 55915 -> 55915 + 600 = 56515
Result: 56515 |
Question: 90 + 42
Think: Split 42 into 40 and 2. 90 + 40 = 130 -> 130 + 2 = 132.
Result: 132 |
Question: 85 + 22
Think: Split 22 into 20 and 2. 85 + 20 = 105 -> 105 + 2 = 107.
Result: 107 |
Question: 3 + 9
Answer: 12 |
Question: 7446 + 3773
Think: Split 3773 into 3000 then 700 then 70 then 3. 7446 + 3000 = 10446 -> 10446 + 700 = 11146 -> 11146 + 70 = 11216 -> 11216 + 3 = 11219
Result: 11219 |
Question: 9 + 6
Answer: 15 |
Question: 47 + 17
Think: Split 17 into 10 and 7. 47 + 10 = 57 -> 57 + 7 = 64.
Result: 64 |
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LLM Addition Training Dataset (Odometer-Style Logic)
Overview
This dataset is designed to teach Large Language Models (LLMs) the foundational logic of addition through Chain-of-Thought (CoT) and Place-Value Expansion. Instead of simple $A + B = C$ pairs, this dataset forces the model to "think" through the process of splitting numbers into their constituent parts (units, tens, hundreds, thousands) and adding them step-by-step.
Dataset Structure
The dataset consists of approximately 60,000 examples across three complexity tiers:
- Foundation Tier (1-20): Direct recall for small-number addition.
- Expansion Tier (21-150): Introduction to splitting tens and units.
- Odometer Tier (151-99,999): Multi-digit addition using recursive place-value logic.
Format
Each entry follows a consistent text completion format:
- Question: The addition problem.
- Think: The logical breakdown (e.g., "Split 532 into 500 then 30 then 2").
- Result: The final verified sum.
Intended Use
This dataset is ideal for:
- Continued Pre-training: Injecting arithmetic stability into small models (0.1B - 3B parameters).
- Fine-Tuning: Teaching a model to follow a specific "scratchpad" reasoning format.
- Arithmetic Benchmarking: Testing if a model can handle multi-digit carry-over logic.
Logic Example
Question: 53242 + 123 Think: Split 123 into 100 then 20 then 3. 53242 + 100 = 53342 -> 53342 + 20 = 53362 -> 53362 + 3 = 53365 Result: 53365
License
MIT
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