input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
4812880
|
2 2 2 2 5 60161
|
[
"4812880 2 2406440",
"2406440 2 1203220",
"1203220 2 601610",
"601610 2 300805",
"300805 5 60161",
"60161 60161 1"
] |
2130628
|
2 2 23 23159
|
[
"2130628 2 1065314",
"1065314 2 532657",
"532657 23 23159",
"23159 23159 1"
] |
1761185
|
5 352237
|
[
"1761185 5 352237",
"352237 352237 1"
] |
1231883
|
1231883
|
[
"1231883 1231883 1"
] |
1780459
|
1780459
|
[
"1780459 1780459 1"
] |
3124100
|
2 2 5 5 7 4463
|
[
"3124100 2 1562050",
"1562050 2 781025",
"781025 5 156205",
"156205 5 31241",
"31241 7 4463",
"4463 4463 1"
] |
1910915
|
5 53 7211
|
[
"1910915 5 382183",
"382183 53 7211",
"7211 7211 1"
] |
958752
|
2 2 2 2 2 3 3 3329
|
[
"958752 2 479376",
"479376 2 239688",
"239688 2 119844",
"119844 2 59922",
"59922 2 29961",
"29961 3 9987",
"9987 3 3329",
"3329 3329 1"
] |
4177882
|
2 331 6311
|
[
"4177882 2 2088941",
"2088941 331 6311",
"6311 6311 1"
] |
2435926
|
2 1217963
|
[
"2435926 2 1217963",
"1217963 1217963 1"
] |
1249850
|
2 5 5 7 3571
|
[
"1249850 2 624925",
"624925 5 124985",
"124985 5 24997",
"24997 7 3571",
"3571 3571 1"
] |
4240433
|
4240433
|
[
"4240433 4240433 1"
] |
4564875
|
3 5 5 5 7 37 47
|
[
"4564875 3 1521625",
"1521625 5 304325",
"304325 5 60865",
"60865 5 12173",
"12173 7 1739",
"1739 37 47",
"47 47 1"
] |
351911
|
7 50273
|
[
"351911 7 50273",
"50273 50273 1"
] |
4331992
|
2 2 2 7 7 43 257
|
[
"4331992 2 2165996",
"2165996 2 1082998",
"1082998 2 541499",
"541499 7 77357",
"77357 7 11051",
"11051 43 257",
"257 257 1"
] |
381483
|
3 3 3 71 199
|
[
"381483 3 127161",
"127161 3 42387",
"42387 3 14129",
"14129 71 199",
"199 199 1"
] |
2663711
|
2663711
|
[
"2663711 2663711 1"
] |
2610692
|
2 2 7 93239
|
[
"2610692 2 1305346",
"1305346 2 652673",
"652673 7 93239",
"93239 93239 1"
] |
2358614
|
2 17 69371
|
[
"2358614 2 1179307",
"1179307 17 69371",
"69371 69371 1"
] |
1820288
|
2 2 2 2 2 2 2 14221
|
[
"1820288 2 910144",
"910144 2 455072",
"455072 2 227536",
"227536 2 113768",
"113768 2 56884",
"56884 2 28442",
"28442 2 14221",
"14221 14221 1"
] |
48466
|
2 11 2203
|
[
"48466 2 24233",
"24233 11 2203",
"2203 2203 1"
] |
753946
|
2 479 787
|
[
"753946 2 376973",
"376973 479 787",
"787 787 1"
] |
3122002
|
2 13 120077
|
[
"3122002 2 1561001",
"1561001 13 120077",
"120077 120077 1"
] |
2009515
|
5 401903
|
[
"2009515 5 401903",
"401903 401903 1"
] |
3468346
|
2 7 247739
|
[
"3468346 2 1734173",
"1734173 7 247739",
"247739 247739 1"
] |
319743
|
3 3 35527
|
[
"319743 3 106581",
"106581 3 35527",
"35527 35527 1"
] |
815698
|
2 13 137 229
|
[
"815698 2 407849",
"407849 13 31373",
"31373 137 229",
"229 229 1"
] |
590250
|
2 3 5 5 5 787
|
[
"590250 2 295125",
"295125 3 98375",
"98375 5 19675",
"19675 5 3935",
"3935 5 787",
"787 787 1"
] |
4141483
|
4141483
|
[
"4141483 4141483 1"
] |
3749934
|
2 3 151 4139
|
[
"3749934 2 1874967",
"1874967 3 624989",
"624989 151 4139",
"4139 4139 1"
] |
4449208
|
2 2 2 47 11833
|
[
"4449208 2 2224604",
"2224604 2 1112302",
"1112302 2 556151",
"556151 47 11833",
"11833 11833 1"
] |
1410503
|
19 61 1217
|
[
"1410503 19 74237",
"74237 61 1217",
"1217 1217 1"
] |
4317557
|
107 40351
|
[
"4317557 107 40351",
"40351 40351 1"
] |
2448168
|
2 2 2 3 83 1229
|
[
"2448168 2 1224084",
"1224084 2 612042",
"612042 2 306021",
"306021 3 102007",
"102007 83 1229",
"1229 1229 1"
] |
4748335
|
5 949667
|
[
"4748335 5 949667",
"949667 949667 1"
] |
2569734
|
2 3 3 367 389
|
[
"2569734 2 1284867",
"1284867 3 428289",
"428289 3 142763",
"142763 367 389",
"389 389 1"
] |
788102
|
2 7 41 1373
|
[
"788102 2 394051",
"394051 7 56293",
"56293 41 1373",
"1373 1373 1"
] |
132221
|
19 6959
|
[
"132221 19 6959",
"6959 6959 1"
] |
4226053
|
13 325081
|
[
"4226053 13 325081",
"325081 325081 1"
] |
123317
|
127 971
|
[
"123317 127 971",
"971 971 1"
] |
2454450
|
2 3 5 5 16363
|
[
"2454450 2 1227225",
"1227225 3 409075",
"409075 5 81815",
"81815 5 16363",
"16363 16363 1"
] |
3023342
|
2 7 215953
|
[
"3023342 2 1511671",
"1511671 7 215953",
"215953 215953 1"
] |
4660016
|
2 2 2 2 19 15329
|
[
"4660016 2 2330008",
"2330008 2 1165004",
"1165004 2 582502",
"582502 2 291251",
"291251 19 15329",
"15329 15329 1"
] |
172125
|
3 3 3 3 5 5 5 17
|
[
"172125 3 57375",
"57375 3 19125",
"19125 3 6375",
"6375 3 2125",
"2125 5 425",
"425 5 85",
"85 5 17",
"17 17 1"
] |
2494978
|
2 79 15791
|
[
"2494978 2 1247489",
"1247489 79 15791",
"15791 15791 1"
] |
4454239
|
4454239
|
[
"4454239 4454239 1"
] |
44865
|
3 3 5 997
|
[
"44865 3 14955",
"14955 3 4985",
"4985 5 997",
"997 997 1"
] |
2071884
|
2 2 3 172657
|
[
"2071884 2 1035942",
"1035942 2 517971",
"517971 3 172657",
"172657 172657 1"
] |
1155595
|
5 7 137 241
|
[
"1155595 5 231119",
"231119 7 33017",
"33017 137 241",
"241 241 1"
] |
261749
|
17 89 173
|
[
"261749 17 15397",
"15397 89 173",
"173 173 1"
] |
1459788
|
2 2 3 11 11059
|
[
"1459788 2 729894",
"729894 2 364947",
"364947 3 121649",
"121649 11 11059",
"11059 11059 1"
] |
3184370
|
2 5 7 45491
|
[
"3184370 2 1592185",
"1592185 5 318437",
"318437 7 45491",
"45491 45491 1"
] |
8005
|
5 1601
|
[
"8005 5 1601",
"1601 1601 1"
] |
1417160
|
2 2 2 5 71 499
|
[
"1417160 2 708580",
"708580 2 354290",
"354290 2 177145",
"177145 5 35429",
"35429 71 499",
"499 499 1"
] |
466297
|
13 35869
|
[
"466297 13 35869",
"35869 35869 1"
] |
900032
|
2 2 2 2 2 2 7 7 7 41
|
[
"900032 2 450016",
"450016 2 225008",
"225008 2 112504",
"112504 2 56252",
"56252 2 28126",
"28126 2 14063",
"14063 7 2009",
"2009 7 287",
"287 7 41",
"41 41 1"
] |
510110
|
2 5 29 1759
|
[
"510110 2 255055",
"255055 5 51011",
"51011 29 1759",
"1759 1759 1"
] |
3716856
|
2 2 2 3 3 11 13 19 19
|
[
"3716856 2 1858428",
"1858428 2 929214",
"929214 2 464607",
"464607 3 154869",
"154869 3 51623",
"51623 11 4693",
"4693 13 361",
"361 19 19",
"19 19 1"
] |
3598212
|
2 2 3 23 13037
|
[
"3598212 2 1799106",
"1799106 2 899553",
"899553 3 299851",
"299851 23 13037",
"13037 13037 1"
] |
2521715
|
5 7 109 661
|
[
"2521715 5 504343",
"504343 7 72049",
"72049 109 661",
"661 661 1"
] |
1218961
|
487 2503
|
[
"1218961 487 2503",
"2503 2503 1"
] |
3801733
|
13 292441
|
[
"3801733 13 292441",
"292441 292441 1"
] |
646972
|
2 2 161743
|
[
"646972 2 323486",
"323486 2 161743",
"161743 161743 1"
] |
2124016
|
2 2 2 2 132751
|
[
"2124016 2 1062008",
"1062008 2 531004",
"531004 2 265502",
"265502 2 132751",
"132751 132751 1"
] |
2262157
|
47 48131
|
[
"2262157 47 48131",
"48131 48131 1"
] |
836815
|
5 7 23909
|
[
"836815 5 167363",
"167363 7 23909",
"23909 23909 1"
] |
3671107
|
11 333737
|
[
"3671107 11 333737",
"333737 333737 1"
] |
289434
|
2 3 48239
|
[
"289434 2 144717",
"144717 3 48239",
"48239 48239 1"
] |
736104
|
2 2 2 3 30671
|
[
"736104 2 368052",
"368052 2 184026",
"184026 2 92013",
"92013 3 30671",
"30671 30671 1"
] |
4672785
|
3 5 13 31 773
|
[
"4672785 3 1557595",
"1557595 5 311519",
"311519 13 23963",
"23963 31 773",
"773 773 1"
] |
163005
|
3 5 10867
|
[
"163005 3 54335",
"54335 5 10867",
"10867 10867 1"
] |
182878
|
2 61 1499
|
[
"182878 2 91439",
"91439 61 1499",
"1499 1499 1"
] |
1339582
|
2 669791
|
[
"1339582 2 669791",
"669791 669791 1"
] |
2710557
|
3 3 3 100391
|
[
"2710557 3 903519",
"903519 3 301173",
"301173 3 100391",
"100391 100391 1"
] |
2353195
|
5 13 41 883
|
[
"2353195 5 470639",
"470639 13 36203",
"36203 41 883",
"883 883 1"
] |
3573882
|
2 3 3 3 3 13 1697
|
[
"3573882 2 1786941",
"1786941 3 595647",
"595647 3 198549",
"198549 3 66183",
"66183 3 22061",
"22061 13 1697",
"1697 1697 1"
] |
4878353
|
61 79973
|
[
"4878353 61 79973",
"79973 79973 1"
] |
3510175
|
5 5 140407
|
[
"3510175 5 702035",
"702035 5 140407",
"140407 140407 1"
] |
4845687
|
3 7 11 11 1907
|
[
"4845687 3 1615229",
"1615229 7 230747",
"230747 11 20977",
"20977 11 1907",
"1907 1907 1"
] |
2853947
|
109 26183
|
[
"2853947 109 26183",
"26183 26183 1"
] |
4628669
|
4628669
|
[
"4628669 4628669 1"
] |
757884
|
2 2 3 137 461
|
[
"757884 2 378942",
"378942 2 189471",
"189471 3 63157",
"63157 137 461",
"461 461 1"
] |
3097668
|
2 2 3 7 36877
|
[
"3097668 2 1548834",
"1548834 2 774417",
"774417 3 258139",
"258139 7 36877",
"36877 36877 1"
] |
2828729
|
113 25033
|
[
"2828729 113 25033",
"25033 25033 1"
] |
3853682
|
2 7 275263
|
[
"3853682 2 1926841",
"1926841 7 275263",
"275263 275263 1"
] |
4672392
|
2 2 2 3 194683
|
[
"4672392 2 2336196",
"2336196 2 1168098",
"1168098 2 584049",
"584049 3 194683",
"194683 194683 1"
] |
1886464
|
2 2 2 2 2 2 2 2 7369
|
[
"1886464 2 943232",
"943232 2 471616",
"471616 2 235808",
"235808 2 117904",
"117904 2 58952",
"58952 2 29476",
"29476 2 14738",
"14738 2 7369",
"7369 7369 1"
] |
3562563
|
3 29 40949
|
[
"3562563 3 1187521",
"1187521 29 40949",
"40949 40949 1"
] |
2323052
|
2 2 580763
|
[
"2323052 2 1161526",
"1161526 2 580763",
"580763 580763 1"
] |
2560737
|
3 41 109 191
|
[
"2560737 3 853579",
"853579 41 20819",
"20819 109 191",
"191 191 1"
] |
2789658
|
2 3 3 154981
|
[
"2789658 2 1394829",
"1394829 3 464943",
"464943 3 154981",
"154981 154981 1"
] |
591264
|
2 2 2 2 2 3 3 2053
|
[
"591264 2 295632",
"295632 2 147816",
"147816 2 73908",
"73908 2 36954",
"36954 2 18477",
"18477 3 6159",
"6159 3 2053",
"2053 2053 1"
] |
3023443
|
3023443
|
[
"3023443 3023443 1"
] |
2537117
|
11 230647
|
[
"2537117 11 230647",
"230647 230647 1"
] |
4368287
|
7 11 56731
|
[
"4368287 7 624041",
"624041 11 56731",
"56731 56731 1"
] |
2471751
|
3 3 193 1423
|
[
"2471751 3 823917",
"823917 3 274639",
"274639 193 1423",
"1423 1423 1"
] |
144183
|
3 13 3697
|
[
"144183 3 48061",
"48061 13 3697",
"3697 3697 1"
] |
1672904
|
2 2 2 79 2647
|
[
"1672904 2 836452",
"836452 2 418226",
"418226 2 209113",
"209113 79 2647",
"2647 2647 1"
] |
201854
|
2 100927
|
[
"201854 2 100927",
"100927 100927 1"
] |
534919
|
7 11 6947
|
[
"534919 7 76417",
"76417 11 6947",
"6947 6947 1"
] |
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