input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
2701851
3 37 101 241
[ "2701851 3 900617", "900617 37 24341", "24341 101 241", "241 241 1" ]
319381
277 1153
[ "319381 277 1153", "1153 1153 1" ]
2400974
2 1069 1123
[ "2400974 2 1200487", "1200487 1069 1123", "1123 1123 1" ]
4906268
2 2 17 23 3137
[ "4906268 2 2453134", "2453134 2 1226567", "1226567 17 72151", "72151 23 3137", "3137 3137 1" ]
2297971
13 47 3761
[ "2297971 13 176767", "176767 47 3761", "3761 3761 1" ]
2485345
5 497069
[ "2485345 5 497069", "497069 497069 1" ]
3734632
2 2 2 11 31 37 37
[ "3734632 2 1867316", "1867316 2 933658", "933658 2 466829", "466829 11 42439", "42439 31 1369", "1369 37 37", "37 37 1" ]
1382713
853 1621
[ "1382713 853 1621", "1621 1621 1" ]
1575428
2 2 393857
[ "1575428 2 787714", "787714 2 393857", "393857 393857 1" ]
2311119
3 3 3 85597
[ "2311119 3 770373", "770373 3 256791", "256791 3 85597", "85597 85597 1" ]
127591
127591
[ "127591 127591 1" ]
1183177
31 38167
[ "1183177 31 38167", "38167 38167 1" ]
2475843
3 825281
[ "2475843 3 825281", "825281 825281 1" ]
4531612
2 2 37 67 457
[ "4531612 2 2265806", "2265806 2 1132903", "1132903 37 30619", "30619 67 457", "457 457 1" ]
3009049
19 158371
[ "3009049 19 158371", "158371 158371 1" ]
4363446
2 3 727241
[ "4363446 2 2181723", "2181723 3 727241", "727241 727241 1" ]
3590568
2 2 2 3 3 3 3 3 1847
[ "3590568 2 1795284", "1795284 2 897642", "897642 2 448821", "448821 3 149607", "149607 3 49869", "49869 3 16623", "16623 3 5541", "5541 3 1847", "1847 1847 1" ]
568760
2 2 2 5 59 241
[ "568760 2 284380", "284380 2 142190", "142190 2 71095", "71095 5 14219", "14219 59 241", "241 241 1" ]
3426095
5 17 17 2371
[ "3426095 5 685219", "685219 17 40307", "40307 17 2371", "2371 2371 1" ]
4525886
2 107 21149
[ "4525886 2 2262943", "2262943 107 21149", "21149 21149 1" ]
800311
800311
[ "800311 800311 1" ]
425266
2 212633
[ "425266 2 212633", "212633 212633 1" ]
2448997
1433 1709
[ "2448997 1433 1709", "1709 1709 1" ]
3159782
2 29 157 347
[ "3159782 2 1579891", "1579891 29 54479", "54479 157 347", "347 347 1" ]
2401422
2 3 400237
[ "2401422 2 1200711", "1200711 3 400237", "400237 400237 1" ]
1355063
1355063
[ "1355063 1355063 1" ]
3328887
3 1109629
[ "3328887 3 1109629", "1109629 1109629 1" ]
2260165
5 452033
[ "2260165 5 452033", "452033 452033 1" ]
3908087
61 64067
[ "3908087 61 64067", "64067 64067 1" ]
708334
2 11 11 2927
[ "708334 2 354167", "354167 11 32197", "32197 11 2927", "2927 2927 1" ]
1767862
2 67 79 167
[ "1767862 2 883931", "883931 67 13193", "13193 79 167", "167 167 1" ]
2836902
2 3 472817
[ "2836902 2 1418451", "1418451 3 472817", "472817 472817 1" ]
116433
3 3 17 761
[ "116433 3 38811", "38811 3 12937", "12937 17 761", "761 761 1" ]
2063748
2 2 3 229 751
[ "2063748 2 1031874", "1031874 2 515937", "515937 3 171979", "171979 229 751", "751 751 1" ]
1119343
1119343
[ "1119343 1119343 1" ]
4632702
2 3 31 24907
[ "4632702 2 2316351", "2316351 3 772117", "772117 31 24907", "24907 24907 1" ]
2615872
2 2 2 2 2 2 7 5839
[ "2615872 2 1307936", "1307936 2 653968", "653968 2 326984", "326984 2 163492", "163492 2 81746", "81746 2 40873", "40873 7 5839", "5839 5839 1" ]
1073714
2 536857
[ "1073714 2 536857", "536857 536857 1" ]
1955135
5 7 13 4297
[ "1955135 5 391027", "391027 7 55861", "55861 13 4297", "4297 4297 1" ]
663668
2 2 83 1999
[ "663668 2 331834", "331834 2 165917", "165917 83 1999", "1999 1999 1" ]
1679377
7 7 34273
[ "1679377 7 239911", "239911 7 34273", "34273 34273 1" ]
2054075
5 5 82163
[ "2054075 5 410815", "410815 5 82163", "82163 82163 1" ]
368462
2 184231
[ "368462 2 184231", "184231 184231 1" ]
3275509
17 192677
[ "3275509 17 192677", "192677 192677 1" ]
4912703
71 69193
[ "4912703 71 69193", "69193 69193 1" ]
2905330
2 5 290533
[ "2905330 2 1452665", "1452665 5 290533", "290533 290533 1" ]
4418439
3 1472813
[ "4418439 3 1472813", "1472813 1472813 1" ]
3718646
2 1859323
[ "3718646 2 1859323", "1859323 1859323 1" ]
2216209
29 76421
[ "2216209 29 76421", "76421 76421 1" ]
435321
3 3 3 23 701
[ "435321 3 145107", "145107 3 48369", "48369 3 16123", "16123 23 701", "701 701 1" ]
1958370
2 3 5 29 2251
[ "1958370 2 979185", "979185 3 326395", "326395 5 65279", "65279 29 2251", "2251 2251 1" ]
3290736
2 2 2 2 3 179 383
[ "3290736 2 1645368", "1645368 2 822684", "822684 2 411342", "411342 2 205671", "205671 3 68557", "68557 179 383", "383 383 1" ]
641608
2 2 2 11 23 317
[ "641608 2 320804", "320804 2 160402", "160402 2 80201", "80201 11 7291", "7291 23 317", "317 317 1" ]
1387665
3 3 3 5 19 541
[ "1387665 3 462555", "462555 3 154185", "154185 3 51395", "51395 5 10279", "10279 19 541", "541 541 1" ]
2206541
59 149 251
[ "2206541 59 37399", "37399 149 251", "251 251 1" ]
946278
2 3 3 52571
[ "946278 2 473139", "473139 3 157713", "157713 3 52571", "52571 52571 1" ]
2765439
3 3 109 2819
[ "2765439 3 921813", "921813 3 307271", "307271 109 2819", "2819 2819 1" ]
3334993
373 8941
[ "3334993 373 8941", "8941 8941 1" ]
283868
2 2 13 53 103
[ "283868 2 141934", "141934 2 70967", "70967 13 5459", "5459 53 103", "103 103 1" ]
4365753
3 7 7 17 1747
[ "4365753 3 1455251", "1455251 7 207893", "207893 7 29699", "29699 17 1747", "1747 1747 1" ]
4199257
4199257
[ "4199257 4199257 1" ]
3273614
2 487 3361
[ "3273614 2 1636807", "1636807 487 3361", "3361 3361 1" ]
576363
3 192121
[ "576363 3 192121", "192121 192121 1" ]
3660108
2 2 3 31 9839
[ "3660108 2 1830054", "1830054 2 915027", "915027 3 305009", "305009 31 9839", "9839 9839 1" ]
1952462
2 976231
[ "1952462 2 976231", "976231 976231 1" ]
2738354
2 29 31 1523
[ "2738354 2 1369177", "1369177 29 47213", "47213 31 1523", "1523 1523 1" ]
1162631
1162631
[ "1162631 1162631 1" ]
3061244
2 2 89 8599
[ "3061244 2 1530622", "1530622 2 765311", "765311 89 8599", "8599 8599 1" ]
230784
2 2 2 2 2 2 2 3 601
[ "230784 2 115392", "115392 2 57696", "57696 2 28848", "28848 2 14424", "14424 2 7212", "7212 2 3606", "3606 2 1803", "1803 3 601", "601 601 1" ]
1827450
2 3 3 5 5 31 131
[ "1827450 2 913725", "913725 3 304575", "304575 3 101525", "101525 5 20305", "20305 5 4061", "4061 31 131", "131 131 1" ]
2566375
5 5 5 7 7 419
[ "2566375 5 513275", "513275 5 102655", "102655 5 20531", "20531 7 2933", "2933 7 419", "419 419 1" ]
3368988
2 2 3 3 7 29 461
[ "3368988 2 1684494", "1684494 2 842247", "842247 3 280749", "280749 3 93583", "93583 7 13369", "13369 29 461", "461 461 1" ]
319092
2 2 3 26591
[ "319092 2 159546", "159546 2 79773", "79773 3 26591", "26591 26591 1" ]
245625
3 5 5 5 5 131
[ "245625 3 81875", "81875 5 16375", "16375 5 3275", "3275 5 655", "655 5 131", "131 131 1" ]
1287194
2 29 22193
[ "1287194 2 643597", "643597 29 22193", "22193 22193 1" ]
2190517
7 312931
[ "2190517 7 312931", "312931 312931 1" ]
1572579
3 3 23 71 107
[ "1572579 3 524193", "524193 3 174731", "174731 23 7597", "7597 71 107", "107 107 1" ]
3022122
2 3 101 4987
[ "3022122 2 1511061", "1511061 3 503687", "503687 101 4987", "4987 4987 1" ]
4721358
2 3 71 11083
[ "4721358 2 2360679", "2360679 3 786893", "786893 71 11083", "11083 11083 1" ]
3835742
2 1917871
[ "3835742 2 1917871", "1917871 1917871 1" ]
1076700
2 2 3 5 5 37 97
[ "1076700 2 538350", "538350 2 269175", "269175 3 89725", "89725 5 17945", "17945 5 3589", "3589 37 97", "97 97 1" ]
557954
2 19 14683
[ "557954 2 278977", "278977 19 14683", "14683 14683 1" ]
252269
347 727
[ "252269 347 727", "727 727 1" ]
3413192
2 2 2 17 25097
[ "3413192 2 1706596", "1706596 2 853298", "853298 2 426649", "426649 17 25097", "25097 25097 1" ]
1350946
2 109 6197
[ "1350946 2 675473", "675473 109 6197", "6197 6197 1" ]
3495540
2 2 3 5 17 23 149
[ "3495540 2 1747770", "1747770 2 873885", "873885 3 291295", "291295 5 58259", "58259 17 3427", "3427 23 149", "149 149 1" ]
1372836
2 2 3 233 491
[ "1372836 2 686418", "686418 2 343209", "343209 3 114403", "114403 233 491", "491 491 1" ]
3567119
3567119
[ "3567119 3567119 1" ]
1196472
2 2 2 3 49853
[ "1196472 2 598236", "598236 2 299118", "299118 2 149559", "149559 3 49853", "49853 49853 1" ]
3226288
2 2 2 2 13 15511
[ "3226288 2 1613144", "1613144 2 806572", "806572 2 403286", "403286 2 201643", "201643 13 15511", "15511 15511 1" ]
3115157
3115157
[ "3115157 3115157 1" ]
1755950
2 5 5 7 29 173
[ "1755950 2 877975", "877975 5 175595", "175595 5 35119", "35119 7 5017", "5017 29 173", "173 173 1" ]
3674675
5 5 146987
[ "3674675 5 734935", "734935 5 146987", "146987 146987 1" ]
2713656
2 2 2 3 11 19 541
[ "2713656 2 1356828", "1356828 2 678414", "678414 2 339207", "339207 3 113069", "113069 11 10279", "10279 19 541", "541 541 1" ]
2318251
13 178327
[ "2318251 13 178327", "178327 178327 1" ]
4103422
2 613 3347
[ "4103422 2 2051711", "2051711 613 3347", "3347 3347 1" ]
1596876
2 2 3 133073
[ "1596876 2 798438", "798438 2 399219", "399219 3 133073", "133073 133073 1" ]
1809005
5 11 31 1061
[ "1809005 5 361801", "361801 11 32891", "32891 31 1061", "1061 1061 1" ]
3825927
3 3 3 7 31 653
[ "3825927 3 1275309", "1275309 3 425103", "425103 3 141701", "141701 7 20243", "20243 31 653", "653 653 1" ]
2428356
2 2 3 7 28909
[ "2428356 2 1214178", "1214178 2 607089", "607089 3 202363", "202363 7 28909", "28909 28909 1" ]