input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
1410040
2 2 2 5 35251
[ "1410040 2 705020", "705020 2 352510", "352510 2 176255", "176255 5 35251", "35251 35251 1" ]
3449569
163 21163
[ "3449569 163 21163", "21163 21163 1" ]
2213738
2 79 14011
[ "2213738 2 1106869", "1106869 79 14011", "14011 14011 1" ]
400530
2 3 5 13 13 79
[ "400530 2 200265", "200265 3 66755", "66755 5 13351", "13351 13 1027", "1027 13 79", "79 79 1" ]
2897508
2 2 3 31 7789
[ "2897508 2 1448754", "1448754 2 724377", "724377 3 241459", "241459 31 7789", "7789 7789 1" ]
106240
2 2 2 2 2 2 2 2 5 83
[ "106240 2 53120", "53120 2 26560", "26560 2 13280", "13280 2 6640", "6640 2 3320", "3320 2 1660", "1660 2 830", "830 2 415", "415 5 83", "83 83 1" ]
3973966
2 41 48463
[ "3973966 2 1986983", "1986983 41 48463", "48463 48463 1" ]
3018894
2 3 17 17 1741
[ "3018894 2 1509447", "1509447 3 503149", "503149 17 29597", "29597 17 1741", "1741 1741 1" ]
2163545
5 29 43 347
[ "2163545 5 432709", "432709 29 14921", "14921 43 347", "347 347 1" ]
3485181
3 7 165961
[ "3485181 3 1161727", "1161727 7 165961", "165961 165961 1" ]
2250309
3 373 2011
[ "2250309 3 750103", "750103 373 2011", "2011 2011 1" ]
1428966
2 3 3 7 11 1031
[ "1428966 2 714483", "714483 3 238161", "238161 3 79387", "79387 7 11341", "11341 11 1031", "1031 1031 1" ]
30882
2 3 5147
[ "30882 2 15441", "15441 3 5147", "5147 5147 1" ]
4913875
5 5 5 19 2069
[ "4913875 5 982775", "982775 5 196555", "196555 5 39311", "39311 19 2069", "2069 2069 1" ]
2297467
29 227 349
[ "2297467 29 79223", "79223 227 349", "349 349 1" ]
2386092
2 2 3 198841
[ "2386092 2 1193046", "1193046 2 596523", "596523 3 198841", "198841 198841 1" ]
4766276
2 2 509 2341
[ "4766276 2 2383138", "2383138 2 1191569", "1191569 509 2341", "2341 2341 1" ]
754063
103 7321
[ "754063 103 7321", "7321 7321 1" ]
3482057
67 51971
[ "3482057 67 51971", "51971 51971 1" ]
2859102
2 3 3 193 823
[ "2859102 2 1429551", "1429551 3 476517", "476517 3 158839", "158839 193 823", "823 823 1" ]
2885204
2 2 7 103043
[ "2885204 2 1442602", "1442602 2 721301", "721301 7 103043", "103043 103043 1" ]
1118034
2 3 3 179 347
[ "1118034 2 559017", "559017 3 186339", "186339 3 62113", "62113 179 347", "347 347 1" ]
1524075
3 5 5 7 2903
[ "1524075 3 508025", "508025 5 101605", "101605 5 20321", "20321 7 2903", "2903 2903 1" ]
1396599
3 151 3083
[ "1396599 3 465533", "465533 151 3083", "3083 3083 1" ]
1731003
3 23 25087
[ "1731003 3 577001", "577001 23 25087", "25087 25087 1" ]
3539890
2 5 19 31 601
[ "3539890 2 1769945", "1769945 5 353989", "353989 19 18631", "18631 31 601", "601 601 1" ]
838846
2 419423
[ "838846 2 419423", "419423 419423 1" ]
488463
3 162821
[ "488463 3 162821", "162821 162821 1" ]
3318961
17 101 1933
[ "3318961 17 195233", "195233 101 1933", "1933 1933 1" ]
2164666
2 7 154619
[ "2164666 2 1082333", "1082333 7 154619", "154619 154619 1" ]
4283029
4283029
[ "4283029 4283029 1" ]
3286543
13 13 19447
[ "3286543 13 252811", "252811 13 19447", "19447 19447 1" ]
2147445
3 3 3 5 15907
[ "2147445 3 715815", "715815 3 238605", "238605 3 79535", "79535 5 15907", "15907 15907 1" ]
4446755
5 889351
[ "4446755 5 889351", "889351 889351 1" ]
3884788
2 2 971197
[ "3884788 2 1942394", "1942394 2 971197", "971197 971197 1" ]
221341
389 569
[ "221341 389 569", "569 569 1" ]
2948987
2948987
[ "2948987 2948987 1" ]
2583552
2 2 2 2 2 2 2 2 2 2 3 29 29
[ "2583552 2 1291776", "1291776 2 645888", "645888 2 322944", "322944 2 161472", "161472 2 80736", "80736 2 40368", "40368 2 20184", "20184 2 10092", "10092 2 5046", "5046 2 2523", "2523 3 841", "841 29 29", "29 29 1" ]
1508443
421 3583
[ "1508443 421 3583", "3583 3583 1" ]
4802106
2 3 800351
[ "4802106 2 2401053", "2401053 3 800351", "800351 800351 1" ]
108302
2 54151
[ "108302 2 54151", "54151 54151 1" ]
1030862
2 7 7 67 157
[ "1030862 2 515431", "515431 7 73633", "73633 7 10519", "10519 67 157", "157 157 1" ]
1155912
2 2 2 3 48163
[ "1155912 2 577956", "577956 2 288978", "288978 2 144489", "144489 3 48163", "48163 48163 1" ]
3537605
5 257 2753
[ "3537605 5 707521", "707521 257 2753", "2753 2753 1" ]
2006056
2 2 2 13 19289
[ "2006056 2 1003028", "1003028 2 501514", "501514 2 250757", "250757 13 19289", "19289 19289 1" ]
4557534
2 3 759589
[ "4557534 2 2278767", "2278767 3 759589", "759589 759589 1" ]
4587783
3 31 49331
[ "4587783 3 1529261", "1529261 31 49331", "49331 49331 1" ]
1421489
17 83617
[ "1421489 17 83617", "83617 83617 1" ]
1696917
3 23 24593
[ "1696917 3 565639", "565639 23 24593", "24593 24593 1" ]
2981000
2 2 2 5 5 5 11 271
[ "2981000 2 1490500", "1490500 2 745250", "745250 2 372625", "372625 5 74525", "74525 5 14905", "14905 5 2981", "2981 11 271", "271 271 1" ]
1851514
2 7 7 7 2699
[ "1851514 2 925757", "925757 7 132251", "132251 7 18893", "18893 7 2699", "2699 2699 1" ]
1289835
3 3 5 28663
[ "1289835 3 429945", "429945 3 143315", "143315 5 28663", "28663 28663 1" ]
712039
31 103 223
[ "712039 31 22969", "22969 103 223", "223 223 1" ]
1375625
5 5 5 5 31 71
[ "1375625 5 275125", "275125 5 55025", "55025 5 11005", "11005 5 2201", "2201 31 71", "71 71 1" ]
3302972
2 2 47 17569
[ "3302972 2 1651486", "1651486 2 825743", "825743 47 17569", "17569 17569 1" ]
4529795
5 905959
[ "4529795 5 905959", "905959 905959 1" ]
3331259
29 313 367
[ "3331259 29 114871", "114871 313 367", "367 367 1" ]
3982027
7 619 919
[ "3982027 7 568861", "568861 619 919", "919 919 1" ]
2600729
1217 2137
[ "2600729 1217 2137", "2137 2137 1" ]
4152695
5 37 22447
[ "4152695 5 830539", "830539 37 22447", "22447 22447 1" ]
1556874
2 3 3 3 11 2621
[ "1556874 2 778437", "778437 3 259479", "259479 3 86493", "86493 3 28831", "28831 11 2621", "2621 2621 1" ]
4361657
223 19559
[ "4361657 223 19559", "19559 19559 1" ]
2246678
2 7 383 419
[ "2246678 2 1123339", "1123339 7 160477", "160477 383 419", "419 419 1" ]
1461423
3 19 25639
[ "1461423 3 487141", "487141 19 25639", "25639 25639 1" ]
2935949
47 62467
[ "2935949 47 62467", "62467 62467 1" ]
4936034
2 47 52511
[ "4936034 2 2468017", "2468017 47 52511", "52511 52511 1" ]
433476
2 2 3 3 12041
[ "433476 2 216738", "216738 2 108369", "108369 3 36123", "36123 3 12041", "12041 12041 1" ]
3667945
5 563 1303
[ "3667945 5 733589", "733589 563 1303", "1303 1303 1" ]
4134461
239 17299
[ "4134461 239 17299", "17299 17299 1" ]
1611771
3 7 23 47 71
[ "1611771 3 537257", "537257 7 76751", "76751 23 3337", "3337 47 71", "71 71 1" ]
799297
109 7333
[ "799297 109 7333", "7333 7333 1" ]
3997656
2 2 2 3 3 13 4271
[ "3997656 2 1998828", "1998828 2 999414", "999414 2 499707", "499707 3 166569", "166569 3 55523", "55523 13 4271", "4271 4271 1" ]
1912320
2 2 2 2 2 2 2 2 2 3 3 5 83
[ "1912320 2 956160", "956160 2 478080", "478080 2 239040", "239040 2 119520", "119520 2 59760", "59760 2 29880", "29880 2 14940", "14940 2 7470", "7470 2 3735", "3735 3 1245", "1245 3 415", "415 5 83", "83 83 1" ]
1540150
2 5 5 30803
[ "1540150 2 770075", "770075 5 154015", "154015 5 30803", "30803 30803 1" ]
4015456
2 2 2 2 2 29 4327
[ "4015456 2 2007728", "2007728 2 1003864", "1003864 2 501932", "501932 2 250966", "250966 2 125483", "125483 29 4327", "4327 4327 1" ]
430337
157 2741
[ "430337 157 2741", "2741 2741 1" ]
1155057
3 521 739
[ "1155057 3 385019", "385019 521 739", "739 739 1" ]
23800
2 2 2 5 5 7 17
[ "23800 2 11900", "11900 2 5950", "5950 2 2975", "2975 5 595", "595 5 119", "119 7 17", "17 17 1" ]
2333686
2 59 19777
[ "2333686 2 1166843", "1166843 59 19777", "19777 19777 1" ]
3829592
2 2 2 13 23 1601
[ "3829592 2 1914796", "1914796 2 957398", "957398 2 478699", "478699 13 36823", "36823 23 1601", "1601 1601 1" ]
533515
5 106703
[ "533515 5 106703", "106703 106703 1" ]
2185089
3 349 2087
[ "2185089 3 728363", "728363 349 2087", "2087 2087 1" ]
2598235
5 519647
[ "2598235 5 519647", "519647 519647 1" ]
3985510
2 5 113 3527
[ "3985510 2 1992755", "1992755 5 398551", "398551 113 3527", "3527 3527 1" ]
1883014
2 7 19 7079
[ "1883014 2 941507", "941507 7 134501", "134501 19 7079", "7079 7079 1" ]
1829995
5 23 15913
[ "1829995 5 365999", "365999 23 15913", "15913 15913 1" ]
2535839
17 43 3469
[ "2535839 17 149167", "149167 43 3469", "3469 3469 1" ]
3235804
2 2 11 13 5657
[ "3235804 2 1617902", "1617902 2 808951", "808951 11 73541", "73541 13 5657", "5657 5657 1" ]
4719947
1481 3187
[ "4719947 1481 3187", "3187 3187 1" ]
4887120
2 2 2 2 3 5 7 2909
[ "4887120 2 2443560", "2443560 2 1221780", "1221780 2 610890", "610890 2 305445", "305445 3 101815", "101815 5 20363", "20363 7 2909", "2909 2909 1" ]
3333540
2 2 3 5 7 7937
[ "3333540 2 1666770", "1666770 2 833385", "833385 3 277795", "277795 5 55559", "55559 7 7937", "7937 7937 1" ]
979427
37 103 257
[ "979427 37 26471", "26471 103 257", "257 257 1" ]
128087
23 5569
[ "128087 23 5569", "5569 5569 1" ]
3852531
3 3 71 6029
[ "3852531 3 1284177", "1284177 3 428059", "428059 71 6029", "6029 6029 1" ]
1837043
13 141311
[ "1837043 13 141311", "141311 141311 1" ]
2624490
2 3 3 5 11 11 241
[ "2624490 2 1312245", "1312245 3 437415", "437415 3 145805", "145805 5 29161", "29161 11 2651", "2651 11 241", "241 241 1" ]
3254007
3 1084669
[ "3254007 3 1084669", "1084669 1084669 1" ]
1525518
2 3 3 84751
[ "1525518 2 762759", "762759 3 254253", "254253 3 84751", "84751 84751 1" ]
4479979
7 639997
[ "4479979 7 639997", "639997 639997 1" ]
739648
2 2 2 2 2 2 7 13 127
[ "739648 2 369824", "369824 2 184912", "184912 2 92456", "92456 2 46228", "46228 2 23114", "23114 2 11557", "11557 7 1651", "1651 13 127", "127 127 1" ]