input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
1252290
|
2 3 5 13 13 13 19
|
[
"1252290 2 626145",
"626145 3 208715",
"208715 5 41743",
"41743 13 3211",
"3211 13 247",
"247 13 19",
"19 19 1"
] |
888070
|
2 5 88807
|
[
"888070 2 444035",
"444035 5 88807",
"88807 88807 1"
] |
4327604
|
2 2 1081901
|
[
"4327604 2 2163802",
"2163802 2 1081901",
"1081901 1081901 1"
] |
4105555
|
5 643 1277
|
[
"4105555 5 821111",
"821111 643 1277",
"1277 1277 1"
] |
1306150
|
2 5 5 151 173
|
[
"1306150 2 653075",
"653075 5 130615",
"130615 5 26123",
"26123 151 173",
"173 173 1"
] |
2371525
|
5 5 13 7297
|
[
"2371525 5 474305",
"474305 5 94861",
"94861 13 7297",
"7297 7297 1"
] |
424107
|
3 3 47123
|
[
"424107 3 141369",
"141369 3 47123",
"47123 47123 1"
] |
3175733
|
11 31 67 139
|
[
"3175733 11 288703",
"288703 31 9313",
"9313 67 139",
"139 139 1"
] |
3196449
|
3 3 3 118387
|
[
"3196449 3 1065483",
"1065483 3 355161",
"355161 3 118387",
"118387 118387 1"
] |
3415703
|
1031 3313
|
[
"3415703 1031 3313",
"3313 3313 1"
] |
875214
|
2 3 3 48623
|
[
"875214 2 437607",
"437607 3 145869",
"145869 3 48623",
"48623 48623 1"
] |
2001573
|
3 3 7 31771
|
[
"2001573 3 667191",
"667191 3 222397",
"222397 7 31771",
"31771 31771 1"
] |
130758
|
2 3 19 31 37
|
[
"130758 2 65379",
"65379 3 21793",
"21793 19 1147",
"1147 31 37",
"37 37 1"
] |
2907283
|
131 22193
|
[
"2907283 131 22193",
"22193 22193 1"
] |
3236880
|
2 2 2 2 3 5 13487
|
[
"3236880 2 1618440",
"1618440 2 809220",
"809220 2 404610",
"404610 2 202305",
"202305 3 67435",
"67435 5 13487",
"13487 13487 1"
] |
2772090
|
2 3 3 3 5 10267
|
[
"2772090 2 1386045",
"1386045 3 462015",
"462015 3 154005",
"154005 3 51335",
"51335 5 10267",
"10267 10267 1"
] |
1519258
|
2 13 71 823
|
[
"1519258 2 759629",
"759629 13 58433",
"58433 71 823",
"823 823 1"
] |
2126371
|
13 163567
|
[
"2126371 13 163567",
"163567 163567 1"
] |
4990550
|
2 5 5 151 661
|
[
"4990550 2 2495275",
"2495275 5 499055",
"499055 5 99811",
"99811 151 661",
"661 661 1"
] |
1475856
|
2 2 2 2 3 3 37 277
|
[
"1475856 2 737928",
"737928 2 368964",
"368964 2 184482",
"184482 2 92241",
"92241 3 30747",
"30747 3 10249",
"10249 37 277",
"277 277 1"
] |
3838443
|
3 7 47 3889
|
[
"3838443 3 1279481",
"1279481 7 182783",
"182783 47 3889",
"3889 3889 1"
] |
1806534
|
2 3 3 100363
|
[
"1806534 2 903267",
"903267 3 301089",
"301089 3 100363",
"100363 100363 1"
] |
2409279
|
3 803093
|
[
"2409279 3 803093",
"803093 803093 1"
] |
1678925
|
5 5 67157
|
[
"1678925 5 335785",
"335785 5 67157",
"67157 67157 1"
] |
4152497
|
47 53 1667
|
[
"4152497 47 88351",
"88351 53 1667",
"1667 1667 1"
] |
4476959
|
4476959
|
[
"4476959 4476959 1"
] |
525830
|
2 5 52583
|
[
"525830 2 262915",
"262915 5 52583",
"52583 52583 1"
] |
627461
|
457 1373
|
[
"627461 457 1373",
"1373 1373 1"
] |
4986397
|
13 541 709
|
[
"4986397 13 383569",
"383569 541 709",
"709 709 1"
] |
4820284
|
2 2 7 172153
|
[
"4820284 2 2410142",
"2410142 2 1205071",
"1205071 7 172153",
"172153 172153 1"
] |
1681262
|
2 11 76421
|
[
"1681262 2 840631",
"840631 11 76421",
"76421 76421 1"
] |
3925345
|
5 89 8821
|
[
"3925345 5 785069",
"785069 89 8821",
"8821 8821 1"
] |
3615789
|
3 67 17989
|
[
"3615789 3 1205263",
"1205263 67 17989",
"17989 17989 1"
] |
4348927
|
11 29 13633
|
[
"4348927 11 395357",
"395357 29 13633",
"13633 13633 1"
] |
1791624
|
2 2 2 3 19 3929
|
[
"1791624 2 895812",
"895812 2 447906",
"447906 2 223953",
"223953 3 74651",
"74651 19 3929",
"3929 3929 1"
] |
1132295
|
5 433 523
|
[
"1132295 5 226459",
"226459 433 523",
"523 523 1"
] |
3604167
|
3 3 7 19 3011
|
[
"3604167 3 1201389",
"1201389 3 400463",
"400463 7 57209",
"57209 19 3011",
"3011 3011 1"
] |
2541154
|
2 7 11 29 569
|
[
"2541154 2 1270577",
"1270577 7 181511",
"181511 11 16501",
"16501 29 569",
"569 569 1"
] |
2617905
|
3 5 174527
|
[
"2617905 3 872635",
"872635 5 174527",
"174527 174527 1"
] |
3722749
|
613 6073
|
[
"3722749 613 6073",
"6073 6073 1"
] |
1920632
|
2 2 2 7 34297
|
[
"1920632 2 960316",
"960316 2 480158",
"480158 2 240079",
"240079 7 34297",
"34297 34297 1"
] |
3755518
|
2 13 13 41 271
|
[
"3755518 2 1877759",
"1877759 13 144443",
"144443 13 11111",
"11111 41 271",
"271 271 1"
] |
1494582
|
2 3 249097
|
[
"1494582 2 747291",
"747291 3 249097",
"249097 249097 1"
] |
1141547
|
11 157 661
|
[
"1141547 11 103777",
"103777 157 661",
"661 661 1"
] |
4477490
|
2 5 447749
|
[
"4477490 2 2238745",
"2238745 5 447749",
"447749 447749 1"
] |
2203197
|
3 457 1607
|
[
"2203197 3 734399",
"734399 457 1607",
"1607 1607 1"
] |
4203508
|
2 2 43 24439
|
[
"4203508 2 2101754",
"2101754 2 1050877",
"1050877 43 24439",
"24439 24439 1"
] |
3682665
|
3 3 3 3 3 5 7 433
|
[
"3682665 3 1227555",
"1227555 3 409185",
"409185 3 136395",
"136395 3 45465",
"45465 3 15155",
"15155 5 3031",
"3031 7 433",
"433 433 1"
] |
1291818
|
2 3 11 23 23 37
|
[
"1291818 2 645909",
"645909 3 215303",
"215303 11 19573",
"19573 23 851",
"851 23 37",
"37 37 1"
] |
2903396
|
2 2 17 42697
|
[
"2903396 2 1451698",
"1451698 2 725849",
"725849 17 42697",
"42697 42697 1"
] |
1529062
|
2 37 20663
|
[
"1529062 2 764531",
"764531 37 20663",
"20663 20663 1"
] |
302241
|
3 100747
|
[
"302241 3 100747",
"100747 100747 1"
] |
842055
|
3 5 73 769
|
[
"842055 3 280685",
"280685 5 56137",
"56137 73 769",
"769 769 1"
] |
27421
|
17 1613
|
[
"27421 17 1613",
"1613 1613 1"
] |
53012
|
2 2 29 457
|
[
"53012 2 26506",
"26506 2 13253",
"13253 29 457",
"457 457 1"
] |
2105171
|
61 34511
|
[
"2105171 61 34511",
"34511 34511 1"
] |
2994169
|
2994169
|
[
"2994169 2994169 1"
] |
1327634
|
2 7 11 37 233
|
[
"1327634 2 663817",
"663817 7 94831",
"94831 11 8621",
"8621 37 233",
"233 233 1"
] |
814249
|
17 211 227
|
[
"814249 17 47897",
"47897 211 227",
"227 227 1"
] |
2691402
|
2 3 7 64081
|
[
"2691402 2 1345701",
"1345701 3 448567",
"448567 7 64081",
"64081 64081 1"
] |
1532921
|
13 117917
|
[
"1532921 13 117917",
"117917 117917 1"
] |
1116684
|
2 2 3 3 31019
|
[
"1116684 2 558342",
"558342 2 279171",
"279171 3 93057",
"93057 3 31019",
"31019 31019 1"
] |
4092799
|
29 141131
|
[
"4092799 29 141131",
"141131 141131 1"
] |
735777
|
3 3 3 7 17 229
|
[
"735777 3 245259",
"245259 3 81753",
"81753 3 27251",
"27251 7 3893",
"3893 17 229",
"229 229 1"
] |
2838366
|
2 3 3 137 1151
|
[
"2838366 2 1419183",
"1419183 3 473061",
"473061 3 157687",
"157687 137 1151",
"1151 1151 1"
] |
4566537
|
3 3 3 3 56377
|
[
"4566537 3 1522179",
"1522179 3 507393",
"507393 3 169131",
"169131 3 56377",
"56377 56377 1"
] |
2626657
|
11 89 2683
|
[
"2626657 11 238787",
"238787 89 2683",
"2683 2683 1"
] |
1911667
|
17 139 809
|
[
"1911667 17 112451",
"112451 139 809",
"809 809 1"
] |
888609
|
3 271 1093
|
[
"888609 3 296203",
"296203 271 1093",
"1093 1093 1"
] |
3565360
|
2 2 2 2 5 41 1087
|
[
"3565360 2 1782680",
"1782680 2 891340",
"891340 2 445670",
"445670 2 222835",
"222835 5 44567",
"44567 41 1087",
"1087 1087 1"
] |
3856003
|
587 6569
|
[
"3856003 587 6569",
"6569 6569 1"
] |
2443056
|
2 2 2 2 3 7 11 661
|
[
"2443056 2 1221528",
"1221528 2 610764",
"610764 2 305382",
"305382 2 152691",
"152691 3 50897",
"50897 7 7271",
"7271 11 661",
"661 661 1"
] |
3998940
|
2 2 3 5 11 73 83
|
[
"3998940 2 1999470",
"1999470 2 999735",
"999735 3 333245",
"333245 5 66649",
"66649 11 6059",
"6059 73 83",
"83 83 1"
] |
3621806
|
2 239 7577
|
[
"3621806 2 1810903",
"1810903 239 7577",
"7577 7577 1"
] |
3815577
|
3 3 353 1201
|
[
"3815577 3 1271859",
"1271859 3 423953",
"423953 353 1201",
"1201 1201 1"
] |
2457479
|
19 129341
|
[
"2457479 19 129341",
"129341 129341 1"
] |
989429
|
7 107 1321
|
[
"989429 7 141347",
"141347 107 1321",
"1321 1321 1"
] |
148917
|
3 49639
|
[
"148917 3 49639",
"49639 49639 1"
] |
3926281
|
29 135389
|
[
"3926281 29 135389",
"135389 135389 1"
] |
307003
|
17 18059
|
[
"307003 17 18059",
"18059 18059 1"
] |
4380755
|
5 277 3163
|
[
"4380755 5 876151",
"876151 277 3163",
"3163 3163 1"
] |
4395602
|
2 67 32803
|
[
"4395602 2 2197801",
"2197801 67 32803",
"32803 32803 1"
] |
258732
|
2 2 3 3 7187
|
[
"258732 2 129366",
"129366 2 64683",
"64683 3 21561",
"21561 3 7187",
"7187 7187 1"
] |
2056632
|
2 2 2 3 67 1279
|
[
"2056632 2 1028316",
"1028316 2 514158",
"514158 2 257079",
"257079 3 85693",
"85693 67 1279",
"1279 1279 1"
] |
3629123
|
3629123
|
[
"3629123 3629123 1"
] |
1829440
|
2 2 2 2 2 2 5 5717
|
[
"1829440 2 914720",
"914720 2 457360",
"457360 2 228680",
"228680 2 114340",
"114340 2 57170",
"57170 2 28585",
"28585 5 5717",
"5717 5717 1"
] |
1795199
|
7 337 761
|
[
"1795199 7 256457",
"256457 337 761",
"761 761 1"
] |
2117749
|
179 11831
|
[
"2117749 179 11831",
"11831 11831 1"
] |
712664
|
2 2 2 89083
|
[
"712664 2 356332",
"356332 2 178166",
"178166 2 89083",
"89083 89083 1"
] |
4943312
|
2 2 2 2 11 28087
|
[
"4943312 2 2471656",
"2471656 2 1235828",
"1235828 2 617914",
"617914 2 308957",
"308957 11 28087",
"28087 28087 1"
] |
1766619
|
3 3 196291
|
[
"1766619 3 588873",
"588873 3 196291",
"196291 196291 1"
] |
3780079
|
3780079
|
[
"3780079 3780079 1"
] |
618602
|
2 19 73 223
|
[
"618602 2 309301",
"309301 19 16279",
"16279 73 223",
"223 223 1"
] |
3054493
|
13 234961
|
[
"3054493 13 234961",
"234961 234961 1"
] |
617074
|
2 308537
|
[
"617074 2 308537",
"308537 308537 1"
] |
523507
|
19 59 467
|
[
"523507 19 27553",
"27553 59 467",
"467 467 1"
] |
4187464
|
2 2 2 523433
|
[
"4187464 2 2093732",
"2093732 2 1046866",
"1046866 2 523433",
"523433 523433 1"
] |
42050
|
2 5 5 29 29
|
[
"42050 2 21025",
"21025 5 4205",
"4205 5 841",
"841 29 29",
"29 29 1"
] |
3582146
|
2 19 107 881
|
[
"3582146 2 1791073",
"1791073 19 94267",
"94267 107 881",
"881 881 1"
] |
2330528
|
2 2 2 2 2 67 1087
|
[
"2330528 2 1165264",
"1165264 2 582632",
"582632 2 291316",
"291316 2 145658",
"145658 2 72829",
"72829 67 1087",
"1087 1087 1"
] |
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