input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
1237697
829 1493
[ "1237697 829 1493", "1493 1493 1" ]
218753
23 9511
[ "218753 23 9511", "9511 9511 1" ]
3553954
2 881 2017
[ "3553954 2 1776977", "1776977 881 2017", "2017 2017 1" ]
469239
3 71 2203
[ "469239 3 156413", "156413 71 2203", "2203 2203 1" ]
255520
2 2 2 2 2 5 1597
[ "255520 2 127760", "127760 2 63880", "63880 2 31940", "31940 2 15970", "15970 2 7985", "7985 5 1597", "1597 1597 1" ]
4223686
2 2111843
[ "4223686 2 2111843", "2111843 2111843 1" ]
1521354
2 3 227 1117
[ "1521354 2 760677", "760677 3 253559", "253559 227 1117", "1117 1117 1" ]
2175169
2175169
[ "2175169 2175169 1" ]
4328743
29 61 2447
[ "4328743 29 149267", "149267 61 2447", "2447 2447 1" ]
2888654
2 43 33589
[ "2888654 2 1444327", "1444327 43 33589", "33589 33589 1" ]
4027474
2 11 183067
[ "4027474 2 2013737", "2013737 11 183067", "183067 183067 1" ]
4200339
3 11 13 9791
[ "4200339 3 1400113", "1400113 11 127283", "127283 13 9791", "9791 9791 1" ]
3057712
2 2 2 2 7 23 1187
[ "3057712 2 1528856", "1528856 2 764428", "764428 2 382214", "382214 2 191107", "191107 7 27301", "27301 23 1187", "1187 1187 1" ]
3051873
3 3 11 29 1063
[ "3051873 3 1017291", "1017291 3 339097", "339097 11 30827", "30827 29 1063", "1063 1063 1" ]
4590252
2 2 3 3 127507
[ "4590252 2 2295126", "2295126 2 1147563", "1147563 3 382521", "382521 3 127507", "127507 127507 1" ]
447958
2 7 7 7 653
[ "447958 2 223979", "223979 7 31997", "31997 7 4571", "4571 7 653", "653 653 1" ]
96444
2 2 3 3 3 19 47
[ "96444 2 48222", "48222 2 24111", "24111 3 8037", "8037 3 2679", "2679 3 893", "893 19 47", "47 47 1" ]
1406107
293 4799
[ "1406107 293 4799", "4799 4799 1" ]
4828511
1789 2699
[ "4828511 1789 2699", "2699 2699 1" ]
2611268
2 2 11 17 3491
[ "2611268 2 1305634", "1305634 2 652817", "652817 11 59347", "59347 17 3491", "3491 3491 1" ]
711254
2 29 12263
[ "711254 2 355627", "355627 29 12263", "12263 12263 1" ]
162792
2 2 2 3 3 7 17 19
[ "162792 2 81396", "81396 2 40698", "40698 2 20349", "20349 3 6783", "6783 3 2261", "2261 7 323", "323 17 19", "19 19 1" ]
1144769
19 60251
[ "1144769 19 60251", "60251 60251 1" ]
1983868
2 2 495967
[ "1983868 2 991934", "991934 2 495967", "495967 495967 1" ]
826235
5 165247
[ "826235 5 165247", "165247 165247 1" ]
2634344
2 2 2 329293
[ "2634344 2 1317172", "1317172 2 658586", "658586 2 329293", "329293 329293 1" ]
248410
2 5 24841
[ "248410 2 124205", "124205 5 24841", "24841 24841 1" ]
2284137
3 3 17 14929
[ "2284137 3 761379", "761379 3 253793", "253793 17 14929", "14929 14929 1" ]
917910
2 3 3 5 7 31 47
[ "917910 2 458955", "458955 3 152985", "152985 3 50995", "50995 5 10199", "10199 7 1457", "1457 31 47", "47 47 1" ]
1340445
3 5 89363
[ "1340445 3 446815", "446815 5 89363", "89363 89363 1" ]
1525233
3 131 3881
[ "1525233 3 508411", "508411 131 3881", "3881 3881 1" ]
3672483
3 613 1997
[ "3672483 3 1224161", "1224161 613 1997", "1997 1997 1" ]
1600095
3 5 7 7 7 311
[ "1600095 3 533365", "533365 5 106673", "106673 7 15239", "15239 7 2177", "2177 7 311", "311 311 1" ]
2482182
2 3 3 37 3727
[ "2482182 2 1241091", "1241091 3 413697", "413697 3 137899", "137899 37 3727", "3727 3727 1" ]
3595185
3 3 3 3 3 5 11 269
[ "3595185 3 1198395", "1198395 3 399465", "399465 3 133155", "133155 3 44385", "44385 3 14795", "14795 5 2959", "2959 11 269", "269 269 1" ]
474320
2 2 2 2 5 7 7 11 11
[ "474320 2 237160", "237160 2 118580", "118580 2 59290", "59290 2 29645", "29645 5 5929", "5929 7 847", "847 7 121", "121 11 11", "11 11 1" ]
349786
2 174893
[ "349786 2 174893", "174893 174893 1" ]
4995331
11 17 26713
[ "4995331 11 454121", "454121 17 26713", "26713 26713 1" ]
1533143
29 29 1823
[ "1533143 29 52867", "52867 29 1823", "1823 1823 1" ]
2269375
5 5 5 5 3631
[ "2269375 5 453875", "453875 5 90775", "90775 5 18155", "18155 5 3631", "3631 3631 1" ]
1858259
13 223 641
[ "1858259 13 142943", "142943 223 641", "641 641 1" ]
2965551
3 23 42979
[ "2965551 3 988517", "988517 23 42979", "42979 42979 1" ]
1799084
2 2 7 7 67 137
[ "1799084 2 899542", "899542 2 449771", "449771 7 64253", "64253 7 9179", "9179 67 137", "137 137 1" ]
3549540
2 2 3 5 59159
[ "3549540 2 1774770", "1774770 2 887385", "887385 3 295795", "295795 5 59159", "59159 59159 1" ]
4442220
2 2 3 3 5 23 29 37
[ "4442220 2 2221110", "2221110 2 1110555", "1110555 3 370185", "370185 3 123395", "123395 5 24679", "24679 23 1073", "1073 29 37", "37 37 1" ]
4854241
7 349 1987
[ "4854241 7 693463", "693463 349 1987", "1987 1987 1" ]
4804055
5 19 61 829
[ "4804055 5 960811", "960811 19 50569", "50569 61 829", "829 829 1" ]
3528952
2 2 2 7 29 41 53
[ "3528952 2 1764476", "1764476 2 882238", "882238 2 441119", "441119 7 63017", "63017 29 2173", "2173 41 53", "53 53 1" ]
3766930
2 5 163 2311
[ "3766930 2 1883465", "1883465 5 376693", "376693 163 2311", "2311 2311 1" ]
998598
2 3 149 1117
[ "998598 2 499299", "499299 3 166433", "166433 149 1117", "1117 1117 1" ]
3442069
331 10399
[ "3442069 331 10399", "10399 10399 1" ]
4945686
2 3 824281
[ "4945686 2 2472843", "2472843 3 824281", "824281 824281 1" ]
3910847
397 9851
[ "3910847 397 9851", "9851 9851 1" ]
2724227
11 227 1091
[ "2724227 11 247657", "247657 227 1091", "1091 1091 1" ]
3971238
2 3 661873
[ "3971238 2 1985619", "1985619 3 661873", "661873 661873 1" ]
3266936
2 2 2 19 21493
[ "3266936 2 1633468", "1633468 2 816734", "816734 2 408367", "408367 19 21493", "21493 21493 1" ]
2348203
11 13 16421
[ "2348203 11 213473", "213473 13 16421", "16421 16421 1" ]
3210033
3 1070011
[ "3210033 3 1070011", "1070011 1070011 1" ]
2672300
2 2 5 5 26723
[ "2672300 2 1336150", "1336150 2 668075", "668075 5 133615", "133615 5 26723", "26723 26723 1" ]
3142218
2 3 97 5399
[ "3142218 2 1571109", "1571109 3 523703", "523703 97 5399", "5399 5399 1" ]
2992267
2992267
[ "2992267 2992267 1" ]
688795
5 347 397
[ "688795 5 137759", "137759 347 397", "397 397 1" ]
1631309
1631309
[ "1631309 1631309 1" ]
2704571
43 62897
[ "2704571 43 62897", "62897 62897 1" ]
1668075
3 5 5 23 967
[ "1668075 3 556025", "556025 5 111205", "111205 5 22241", "22241 23 967", "967 967 1" ]
3917069
13 59 5107
[ "3917069 13 301313", "301313 59 5107", "5107 5107 1" ]
3827233
653 5861
[ "3827233 653 5861", "5861 5861 1" ]
25964
2 2 6491
[ "25964 2 12982", "12982 2 6491", "6491 6491 1" ]
1600334
2 163 4909
[ "1600334 2 800167", "800167 163 4909", "4909 4909 1" ]
4019952
2 2 2 2 3 89 941
[ "4019952 2 2009976", "2009976 2 1004988", "1004988 2 502494", "502494 2 251247", "251247 3 83749", "83749 89 941", "941 941 1" ]
374396
2 2 11 67 127
[ "374396 2 187198", "187198 2 93599", "93599 11 8509", "8509 67 127", "127 127 1" ]
4956435
3 3 5 11 17 19 31
[ "4956435 3 1652145", "1652145 3 550715", "550715 5 110143", "110143 11 10013", "10013 17 589", "589 19 31", "31 31 1" ]
2078136
2 2 2 3 3 3 3 3 1069
[ "2078136 2 1039068", "1039068 2 519534", "519534 2 259767", "259767 3 86589", "86589 3 28863", "28863 3 9621", "9621 3 3207", "3207 3 1069", "1069 1069 1" ]
4089197
7 7 17 4909
[ "4089197 7 584171", "584171 7 83453", "83453 17 4909", "4909 4909 1" ]
2862093
3 13 73387
[ "2862093 3 954031", "954031 13 73387", "73387 73387 1" ]
711019
711019
[ "711019 711019 1" ]
3067287
3 1022429
[ "3067287 3 1022429", "1022429 1022429 1" ]
3711686
2 11 168713
[ "3711686 2 1855843", "1855843 11 168713", "168713 168713 1" ]
132671
7 11 1723
[ "132671 7 18953", "18953 11 1723", "1723 1723 1" ]
3907779
3 29 44917
[ "3907779 3 1302593", "1302593 29 44917", "44917 44917 1" ]
1157638
2 578819
[ "1157638 2 578819", "578819 578819 1" ]
720798
2 3 13 9241
[ "720798 2 360399", "360399 3 120133", "120133 13 9241", "9241 9241 1" ]
4692969
3 3 17 37 829
[ "4692969 3 1564323", "1564323 3 521441", "521441 17 30673", "30673 37 829", "829 829 1" ]
154171
151 1021
[ "154171 151 1021", "1021 1021 1" ]
3229632
2 2 2 2 2 2 3 3 3 3 7 89
[ "3229632 2 1614816", "1614816 2 807408", "807408 2 403704", "403704 2 201852", "201852 2 100926", "100926 2 50463", "50463 3 16821", "16821 3 5607", "5607 3 1869", "1869 3 623", "623 7 89", "89 89 1" ]
4231052
2 2 7 7 21587
[ "4231052 2 2115526", "2115526 2 1057763", "1057763 7 151109", "151109 7 21587", "21587 21587 1" ]
153930
2 3 5 7 733
[ "153930 2 76965", "76965 3 25655", "25655 5 5131", "5131 7 733", "733 733 1" ]
2440077
3 631 1289
[ "2440077 3 813359", "813359 631 1289", "1289 1289 1" ]
1382060
2 2 5 19 3637
[ "1382060 2 691030", "691030 2 345515", "345515 5 69103", "69103 19 3637", "3637 3637 1" ]
1402959
3 17 27509
[ "1402959 3 467653", "467653 17 27509", "27509 27509 1" ]
4017508
2 2 11 17 41 131
[ "4017508 2 2008754", "2008754 2 1004377", "1004377 11 91307", "91307 17 5371", "5371 41 131", "131 131 1" ]
1044169
7 43 3469
[ "1044169 7 149167", "149167 43 3469", "3469 3469 1" ]
4489880
2 2 2 5 112247
[ "4489880 2 2244940", "2244940 2 1122470", "1122470 2 561235", "561235 5 112247", "112247 112247 1" ]
1068605
5 213721
[ "1068605 5 213721", "213721 213721 1" ]
3212921
397 8093
[ "3212921 397 8093", "8093 8093 1" ]
175217
7 25031
[ "175217 7 25031", "25031 25031 1" ]
2344002
2 3 227 1721
[ "2344002 2 1172001", "1172001 3 390667", "390667 227 1721", "1721 1721 1" ]
2011769
2011769
[ "2011769 2011769 1" ]
1436795
5 113 2543
[ "1436795 5 287359", "287359 113 2543", "2543 2543 1" ]
2463661
271 9091
[ "2463661 271 9091", "9091 9091 1" ]