data_type
stringclasses
5 values
answer_start_char
int64
18
266
tokens
list
id
int64
0
2.35k
answer_char_len
int64
1
19
tokens_len
int64
11
3.78k
shows_work
bool
1 class
tokenizer
stringclasses
1 value
char_len
int64
19
5.75k
rule
stringlengths
5
10
word_problem_type
stringclasses
3 values
kind
stringclasses
4 values
txt
stringlengths
19
5.75k
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 9, 22, 271, 15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 198, 22 ]
500
null
24
null
cl100k_base
32
x+0*7
null
null
The rule: x+0*7 0 1 2 3 4 5 6 7
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271, 16, 201, 17, 201, 19, 201, 23, 201, 845, 201, 843 ]
501
null
21
null
cl100k_base
30
2^x+0
null
null
The rule: 2^x+0 1 2 4 8 16 32
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 6028, 10, 508, 271, 5925, 220, 6083, 220, 6365, 220, 6281, 220, 2721, 220, 4161, 220, 3534 ]
502
null
22
null
cl100k_base
39
x+71+20
null
null
The rule: x+71+20 91 92 93 94 95 96 97
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 2983, 271, 1135, 11, 2970, 11, 5728, 11, 7461, 11, 8258, 11, 17690, 11, 22303, 11, 7461, 21, 11, 12652, 15, 11, 19288, 23 ]
503
null
34
null
cl100k_base
61
2^(x+3)+42
null
null
The rule: 2^(x+3)+42 50,58,74,106,170,298,554,1066,2090,4138
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2137, 18988, 10, 15, 271, 15, 11, 2137, 11, 2495, 11, 8546, 11, 10132, 11, 6280, 11, 11727 ]
504
null
22
null
cl100k_base
41
39*x+0
null
null
The rule: 39*x+0 0,39,78,117,156,195,234
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 9, 777, 271, 15, 197, 16, 197, 17, 197, 18, 197, 19, 197, 20 ]
505
null
20
null
cl100k_base
29
x+0*19
null
null
The rule: x+0*19 0 1 2 3 4 5
arithmetic_sequence
null
[ 791, 6037, 25, 220, 18, 9, 17, 61, 87, 10, 1484, 271, 4278, 11, 6550, 11, 5037, 11, 4513, 11, 10288, 11, 6280, 11, 17335, 11, 21884 ]
506
null
27
null
cl100k_base
51
3*2^x+99
null
null
The rule: 3*2^x+99 102,105,111,123,147,195,291,483
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2137, 6737, 87, 10, 23, 696, 13384, 765, 220, 18113, 765, 220, 15515, 765, 220, 16371, 765, 220, 20304 ]
507
null
23
null
cl100k_base
47
39*(x+8)
null
null
The rule: 39*(x+8) 312 | 351 | 390 | 429 | 468
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 914, 271, 3174, 220, 220, 3226, 220, 220, 4578, 220, 220, 9800 ]
508
null
22
null
cl100k_base
37
2^(x+4)+25
null
null
The rule: 2^(x+4)+25 41 57 89 153
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 13571, 87, 10, 17, 7405, 2421, 271, 6083, 201, 4161, 201, 6849, 201, 4364, 201, 9756, 201, 12463, 201, 17451 ]
509
null
25
null
cl100k_base
47
2^(x+2)+88
null
null
The rule: 2^(x+2)+88 92 96 104 120 152 216 344
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 9, 21, 271, 15, 262, 220, 16, 262, 220, 17, 262, 220, 18, 262, 220, 19 ]
510
null
22
null
cl100k_base
38
x+0*6
null
null
The rule: x+0*6 0 1 2 3 4
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 61, 87, 10, 4103, 271, 4331, 3929, 220, 4370, 3929, 220, 3487, 3929, 220, 1399, 3929, 220, 2614, 3929, 220, 5833, 3929, 220, 8027, 3929, 220, 5245, 3929, 220, 14498 ]
511
null
35
null
cl100k_base
79
2^x+52
null
null
The rule: 2^x+52 53 --> 54 --> 56 --> 60 --> 68 --> 84 --> 116 --> 180 --> 308
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 15, 271, 17, 91, 23, 91, 843, 91, 4386 ]
512
null
19
null
cl100k_base
29
2*4^x+0
null
null
The rule: 2*4^x+0 2|8|32|128
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 10, 777, 271, 777, 197, 508, 197, 1691, 197, 1313, 197, 1419, 197, 1187, 197, 914, 197, 1627, 197, 1544, 197, 1591 ]
513
null
28
null
cl100k_base
47
x+0+19
null
null
The rule: x+0+19 19 20 21 22 23 24 25 26 27 28
arithmetic_sequence
null
[ 791, 6037, 25, 220, 24, 18988, 10, 1419, 271, 1419, 11, 843, 11, 3174, 11, 1135, 11, 2946, 11, 2614, 11, 2813, 11, 4218, 11, 2721, 11, 6849 ]
514
null
28
null
cl100k_base
48
9*x+23
null
null
The rule: 9*x+23 23,32,41,50,59,68,77,86,95,104
arithmetic_sequence
null
[ 791, 6037, 25, 865, 61, 19, 10, 15, 271, 15, 11, 220, 16, 11, 220, 845, 11, 220, 5932, 11, 220, 4146, 11, 220, 15894 ]
515
null
25
null
cl100k_base
39
x^4+0
null
null
The rule: x^4+0 0, 1, 16, 81, 256, 625
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271, 19, 271, 845, 271, 1227, 271, 4146 ]
516
null
19
null
cl100k_base
33
4*4^x+0
null
null
The rule: 4*4^x+0 4 16 64 256
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 1987, 10, 966, 271, 2614, 674, 220, 3076, 674, 220, 2031, 674, 220, 6028, 674, 220, 5332 ]
517
null
22
null
cl100k_base
41
x+38+30
null
null
The rule: x+38+30 68 # 69 # 70 # 71 # 72
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 61, 87, 10, 2790, 271, 2618, 220, 1135, 220, 5538, 220, 5120, 220, 13121, 220, 7699, 15, 220, 17448, 17, 220, 10513, 966, 220, 15573, 6086, 220, 14274, 7028 ]
518
null
34
null
cl100k_base
63
4^x+46
null
null
The rule: 4^x+46 47 50 62 110 302 1070 4142 16430 65582 262190
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271, 845, 674, 220, 843, 674, 220, 1227, 674, 220, 4386, 674, 220, 4146 ]
519
null
25
null
cl100k_base
45
2^(x+4)+0
null
null
The rule: 2^(x+4)+0 16 # 32 # 64 # 128 # 256
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 3080, 9, 2166, 271, 14423, 21, 198, 14423, 22, 198, 14423, 23, 198, 14423, 24 ]
520
null
20
null
cl100k_base
38
x+67*48
null
null
The rule: x+67*48 3216 3217 3218 3219
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 15, 271, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227, 11, 220, 4386, 11, 220, 4146, 11, 220, 8358 ]
521
null
31
null
cl100k_base
49
2^(x+3)+0
null
null
The rule: 2^(x+3)+0 8, 16, 32, 64, 128, 256, 512
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2790, 6737, 87, 10, 16, 696, 2790, 220, 6083, 220, 10350, 220, 10336, 220, 9870, 220, 16660, 220, 15805 ]
522
null
23
null
cl100k_base
45
46*(x+1)
null
null
The rule: 46*(x+1) 46 92 138 184 230 276 322
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2148, 6737, 87, 10, 18, 696, 6365, 271, 8874, 271, 9992, 271, 9714, 271, 13460, 271, 14185, 271, 17267, 271, 12226, 271, 16546 ]
523
null
27
null
cl100k_base
62
31*(x+3)
null
null
The rule: 31*(x+3) 93 124 155 186 217 248 279 310 341
arithmetic_sequence
null
[ 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271, 18, 262, 220, 21, 262, 220, 717, 262, 220, 1187, 262, 220, 2166, 262, 220, 4161 ]
524
null
26
null
cl100k_base
47
3*2^x
null
null
The rule: 3*2^x 3 6 12 24 48 96
arithmetic_sequence
null
[ 791, 6037, 25, 220, 1806, 6737, 87, 10, 22, 696, 15537, 198, 17408, 198, 8765, 198, 14648, 198, 18501, 198, 14870, 198, 21235, 198, 21312, 198, 14148 ]
525
null
27
null
cl100k_base
55
37*(x+7)
null
null
The rule: 37*(x+7) 259 296 333 370 407 444 481 518 555
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 9, 17, 61, 87, 271, 17, 11, 220, 19, 11, 220, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227 ]
526
null
26
null
cl100k_base
36
2*2^x
null
null
The rule: 2*2^x 2, 4, 8, 16, 32, 64
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 10, 1682, 271, 1682, 220, 966, 220, 2148, 220, 843, 220, 1644, 220, 1958, 220, 1758, 220, 1927 ]
527
null
24
null
cl100k_base
41
x+0+29
null
null
The rule: x+0+29 29 30 31 32 33 34 35 36
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 15, 9, 1544, 271, 15, 220, 16, 220, 17, 220, 18, 220, 19, 220, 20, 220, 21, 220, 22 ]
528
null
24
null
cl100k_base
33
x+0*27
null
null
The rule: x+0*27 0 1 2 3 4 5 6 7
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 6069, 9, 1774, 271, 18017, 20, 201, 18017, 21, 201, 18017, 22, 201, 18017, 23, 201, 18017, 24, 201, 18265, 15, 201, 18265, 16, 201, 18265, 17, 201, 18265, 18 ]
529
null
35
null
cl100k_base
63
x+83*45
null
null
The rule: x+83*45 3735 3736 3737 3738 3739 3740 3741 3742 3743
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 22, 271, 806, 201, 868, 201, 1419, 201, 2137, 201, 6028, 201, 8878, 201, 15666, 201, 21851 ]
530
null
27
null
cl100k_base
45
4*2^x+7
null
null
The rule: 4*2^x+7 11 15 23 39 71 135 263 519
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 15, 271, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21 ]
531
null
24
null
cl100k_base
40
4^(x+3)+0
null
null
The rule: 4^(x+3)+0 64, 256, 1024, 4096
arithmetic_sequence
null
[ 791, 6037, 25, 220, 18, 61, 87, 10, 1954, 271, 5925, 3929, 220, 6365, 3929, 220, 1484, 3929, 220, 8546, 3929, 220, 11123, 3929, 220, 8765, 3929, 220, 18831, 3929, 220, 14206, 22, 3929, 220, 23467, 16, 3929, 220, 4468, 5958 ]
532
null
41
null
cl100k_base
94
3^x+90
null
null
The rule: 3^x+90 91 --> 93 --> 99 --> 117 --> 171 --> 333 --> 819 --> 2277 --> 6651 --> 19773
arithmetic_sequence
null
[ 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271, 18, 1174, 220, 21, 1174, 220, 717, 1174, 220, 1187, 1174, 220, 2166, 1174, 220, 4161, 1174, 220, 5926, 1174, 220, 12910, 1174, 220, 17521, 1174, 220, 9800, 21 ]
533
null
39
null
cl100k_base
67
3*2^x
null
null
The rule: 3*2^x 3 , 6 , 12 , 24 , 48 , 96 , 192 , 384 , 768 , 1536
arithmetic_sequence
null
[ 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 3929, 220, 14052, 3929, 220, 22194, 3929, 220, 13302, 22, 3929, 220, 20744, 16 ]
534
null
27
null
cl100k_base
57
3^(x+4)+0
null
null
The rule: 3^(x+4)+0 81 --> 243 --> 729 --> 2187 --> 6561
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 61, 87, 10, 6086, 271, 6069, 11, 4218, 11, 3264, 11, 10465 ]
535
null
17
null
cl100k_base
30
4^x+82
null
null
The rule: 4^x+82 83,86,98,146
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 5932, 271, 9591, 271, 17609, 271, 5120, 20, 271, 19561, 22, 271, 10513, 2397, 271, 20744, 1114, 271, 14274, 11057, 271, 6849, 24678, 22 ]
536
null
34
null
cl100k_base
73
4^(x+3)+81
null
null
The rule: 4^(x+3)+81 145 337 1105 4177 16465 65617 262225 1048657
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2148, 18988, 10, 1774, 271, 1774, 11, 220, 4767, 11, 220, 7699, 11, 220, 10350, 11, 220, 11739 ]
537
null
22
null
cl100k_base
40
31*x+45
null
null
The rule: 31*x+45 45, 76, 107, 138, 169
arithmetic_sequence
null
[ 791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 91, 16, 91, 23, 91, 1544, 91, 1227, 91, 6549, 91, 12463, 91, 16522, 91, 8358, 91, 22194 ]
538
null
28
null
cl100k_base
48
x^3+0
null
null
The rule: x^3+0 0|1|8|27|64|125|216|343|512|729
arithmetic_sequence
null
[ 791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 198, 16, 198, 23, 198, 1544, 198, 1227, 198, 6549, 198, 12463 ]
539
null
22
null
cl100k_base
36
x^3+0
null
null
The rule: x^3+0 0 1 8 27 64 125 216
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 9, 17, 61, 87, 271, 19, 197, 23, 197, 845, 197, 843 ]
540
null
17
null
cl100k_base
26
4*2^x
null
null
The rule: 4*2^x 4 8 16 32
arithmetic_sequence
null
[ 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 15, 271, 1227, 11, 4146, 11, 4278, 19, 11, 12378, 21, 11, 9892, 5833, 11, 15573, 1927, 11, 14274, 8929 ]
541
null
30
null
cl100k_base
56
4^(x+3)+0
null
null
The rule: 4^(x+3)+0 64,256,1024,4096,16384,65536,262144
arithmetic_sequence
null
[ 791, 6037, 25, 220, 1691, 18988, 10, 1032, 271, 1032, 11, 1958, 11, 2131, 11, 4767, 11, 3534, 11, 8899, 11, 10125 ]
542
null
22
null
cl100k_base
41
21*x+13
null
null
The rule: 21*x+13 13,34,55,76,97,118,139
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2096, 6737, 87, 10, 15, 696, 15, 405, 2096, 405, 2421, 405, 9413 ]
543
null
17
null
cl100k_base
34
44*(x+0)
null
null
The rule: 44*(x+0) 0->44->88->132
arithmetic_sequence
null
[ 791, 6037, 25, 220, 1135, 18988, 10, 1114, 271, 1114, 197, 3080, 197, 8546, 197, 11515, 197, 13460, 197, 16567, 197, 16718, 197, 18775, 197, 19561, 197, 20419 ]
544
null
28
null
cl100k_base
56
50*x+17
null
null
The rule: 50*x+17 17 67 117 167 217 267 317 367 417 467
arithmetic_sequence
null
[ 791, 6037, 25, 220, 17, 18988, 10, 5728, 271, 5728, 765, 220, 4767, 765, 220, 2495, 765, 220, 1490, 765, 220, 6086, 765, 220, 5833, 765, 220, 4218 ]
545
null
28
null
cl100k_base
50
2*x+74
null
null
The rule: 2*x+74 74 | 76 | 78 | 80 | 82 | 84 | 86
arithmetic_sequence
null
[ 791, 6037, 25, 220, 2166, 18988, 10, 15, 271, 15, 91, 2166, 91, 4161, 91, 8929, 91, 5926, 91, 8273, 91, 15287, 91, 17014, 91, 12910 ]
546
null
26
null
cl100k_base
49
48*x+0
null
null
The rule: 48*x+0 0|48|96|144|192|240|288|336|384
arithmetic_sequence
null
[ 791, 6037, 25, 865, 10, 972, 10, 1644, 271, 3971, 91, 4103, 91, 4331, 91, 4370, 91, 2131, 91, 3487 ]
547
null
20
null
cl100k_base
36
x+18+33
null
null
The rule: x+18+33 51|52|53|54|55|56
arithmetic_sequence
null
[ 791, 6037, 25, 220, 21, 18988, 10, 15, 271, 15, 1174, 220, 21, 1174, 220, 717, 1174, 220, 972, 1174, 220, 1187, 1174, 220, 966, 1174, 220, 1927, 1174, 220, 2983 ]
548
null
31
null
cl100k_base
52
6*x+0
null
null
The rule: 6*x+0 0 , 6 , 12 , 18 , 24 , 30 , 36 , 42
arithmetic_sequence
null
[ 791, 6037, 25, 220, 605, 6737, 87, 10, 605, 696, 1041, 262, 220, 5120, 262, 220, 4364, 262, 220, 5894, 262, 220, 6860, 262, 220, 3965, 262, 220, 6330, 262, 220, 8258, 262, 220, 5245, 262, 220, 7028 ]
549
null
38
null
cl100k_base
87
10*(x+10)
null
null
The rule: 10*(x+10) 100 110 120 130 140 150 160 170 180 190
arithmetic_sequence
null
[ 18, 674, 220, 24, 674, 220, 1544, 674, 220, 5932, 674, 220, 14052, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271 ]
550
null
23
null
cl100k_base
38
3*3^x
null
null
3 # 9 # 27 # 81 # 243The rule: 3*3^x
arithmetic_sequence
null
[ 19166, 765, 220, 12819, 765, 220, 20911, 765, 220, 18048, 765, 220, 22048, 765, 220, 20691, 765, 220, 18660, 765, 220, 22768, 791, 6037, 25, 220, 2983, 6737, 87, 10, 24, 696 ]
551
null
32
null
cl100k_base
65
42*(x+9)
null
null
378 | 420 | 462 | 504 | 546 | 588 | 630 | 672The rule: 42*(x+9)
arithmetic_sequence
null
[ 13897, 11, 220, 19162, 11, 220, 18781, 11, 220, 19230, 11, 220, 12910, 11, 220, 18695, 11, 220, 16481, 11, 220, 20062, 791, 6037, 25, 865, 10, 777, 9, 508, 271 ]
552
null
31
null
cl100k_base
57
x+19*20
null
null
380, 381, 382, 383, 384, 385, 386, 387The rule: x+19*20
arithmetic_sequence
null
[ 1627, 11, 1591, 11, 843, 11, 1272, 11, 3487, 11, 2421, 11, 9756, 11, 11209, 11, 21600, 11, 6849, 23, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 1187, 271 ]
553
null
32
null
cl100k_base
54
2*2^x+24
null
null
26,28,32,40,56,88,152,280,536,1048The rule: 2*2^x+24
arithmetic_sequence
null
[ 2614, 11, 220, 3076, 11, 220, 5332, 11, 220, 2813, 791, 6037, 25, 865, 61, 17, 10, 2614, 271 ]
554
null
19
null
cl100k_base
32
x^2+68
null
null
68, 69, 72, 77The rule: x^2+68
arithmetic_sequence
null
[ 15, 405, 843, 405, 1227, 405, 4161, 405, 4386, 405, 6330, 405, 5926, 405, 10697, 405, 4146, 791, 6037, 25, 220, 843, 6737, 87, 10, 15, 696 ]
555
null
27
null
cl100k_base
58
32*(x+0)
null
null
0->32->64->96->128->160->192->224->256The rule: 32*(x+0)
arithmetic_sequence
null
[ 18, 220, 220, 24, 220, 220, 1544, 220, 220, 5932, 220, 220, 14052, 220, 220, 22194, 220, 220, 13302, 22, 220, 220, 20744, 16, 220, 220, 5162, 6069, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271 ]
556
null
38
null
cl100k_base
58
3*3^x
null
null
3 9 27 81 243 729 2187 6561 19683The rule: 3*3^x
arithmetic_sequence
null
[ 17, 11, 220, 21, 11, 220, 972, 11, 220, 4370, 11, 220, 10674, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271 ]
557
null
23
null
cl100k_base
34
2*3^x
null
null
2, 6, 18, 54, 162The rule: 2*3^x
arithmetic_sequence
null
[ 5958, 1174, 220, 4767, 1174, 220, 6086, 1174, 220, 6281, 1174, 220, 8899, 1174, 220, 11247, 1174, 220, 14274, 1174, 220, 20555, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 10, 2031, 271 ]
558
null
34
null
cl100k_base
61
3*2^x+70
null
null
73 , 76 , 82 , 94 , 118 , 166 , 262 , 454The rule: 3*2^x+70
arithmetic_sequence
null
[ 8899, 23, 201, 8899, 24, 201, 9079, 15, 201, 9079, 16, 201, 9079, 17, 201, 9079, 18, 791, 6037, 25, 865, 10, 2287, 9, 972, 271 ]
559
null
26
null
cl100k_base
48
x+66*18
null
null
1188 1189 1190 1191 1192 1193The rule: x+66*18
arithmetic_sequence
null
[ 845, 405, 777, 405, 2148, 405, 4643, 405, 15828, 791, 6037, 25, 220, 19, 61, 87, 10, 868, 271 ]
560
null
19
null
cl100k_base
37
4^x+15
null
null
16->19->31->79->271The rule: 4^x+15
arithmetic_sequence
null
[ 15, 91, 2618, 91, 6281, 91, 9335, 91, 9367, 91, 12422, 91, 16544, 91, 18196, 91, 18322, 91, 19711, 791, 6037, 25, 220, 2618, 18988, 10, 15, 271 ]
561
null
28
null
cl100k_base
53
47*x+0
null
null
0|47|94|141|188|235|282|329|376|423The rule: 47*x+0
arithmetic_sequence
null
[ 15, 201, 16, 201, 17, 201, 18, 201, 19, 201, 20, 201, 21, 201, 22, 201, 23, 791, 6037, 25, 865, 10, 15, 9, 1691, 271 ]
562
null
26
null
cl100k_base
35
x+0*21
null
null
0 1 2 3 4 5 6 7 8The rule: x+0*21
arithmetic_sequence
null
[ 5932, 3929, 220, 4044, 3929, 220, 6550, 3929, 220, 11068, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 2495, 271 ]
563
null
22
null
cl100k_base
45
3*3^x+78
null
null
81 --> 87 --> 105 --> 159The rule: 3*3^x+78
arithmetic_sequence
null
[ 15, 674, 220, 1806, 674, 220, 5728, 674, 220, 5037, 674, 220, 10410, 674, 220, 9741, 674, 220, 9716, 674, 220, 15537, 791, 6037, 25, 220, 1806, 18988, 10, 15, 271 ]
564
null
31
null
cl100k_base
59
37*x+0
null
null
0 # 37 # 74 # 111 # 148 # 185 # 222 # 259The rule: 37*x+0
arithmetic_sequence
null
[ 2618, 11, 220, 2166, 11, 220, 2491, 11, 220, 1135, 11, 220, 3971, 11, 220, 4103, 11, 220, 4331, 11, 220, 4370, 11, 220, 2131, 791, 6037, 25, 865, 10, 15, 10, 2618, 271 ]
565
null
34
null
cl100k_base
52
x+0+47
null
null
47, 48, 49, 50, 51, 52, 53, 54, 55The rule: x+0+47
arithmetic_sequence
null
[ 5925, 11, 220, 6083, 11, 220, 6365, 11, 220, 6281, 11, 220, 2721, 791, 6037, 25, 865, 10, 5495, 10, 1591, 271 ]
566
null
22
null
cl100k_base
37
x+63+28
null
null
91, 92, 93, 94, 95The rule: x+63+28
arithmetic_sequence
null
[ 15, 220, 16, 220, 17, 220, 18, 791, 6037, 25, 865, 10, 15, 9, 868, 271 ]
567
null
16
null
cl100k_base
25
x+0*15
null
null
0 1 2 3The rule: x+0*15
arithmetic_sequence
null
[ 17, 91, 21, 91, 972, 91, 4370, 91, 10674, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 15, 271 ]
568
null
21
null
cl100k_base
32
2*3^x+0
null
null
2|6|18|54|162The rule: 2*3^x+0
arithmetic_sequence
null
[ 17, 11, 220, 20, 11, 220, 1114, 11, 220, 2397, 11, 220, 15574, 11, 220, 4278, 20, 11, 220, 12378, 22, 11, 220, 9892, 5313, 11, 220, 15573, 1806, 11, 220, 14274, 9591, 791, 6037, 25, 220, 19, 61, 87, 10, 16, 271 ]
569
null
43
null
cl100k_base
68
4^x+1
null
null
2, 5, 17, 65, 257, 1025, 4097, 16385, 65537, 262145The rule: 4^x+1
arithmetic_sequence
null
[ 1591, 11, 966, 11, 1958, 11, 2983, 11, 2970, 11, 1954, 11, 10559, 11, 16544, 11, 22600, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 1627, 271 ]
570
null
29
null
cl100k_base
49
2*2^x+26
null
null
28,30,34,42,58,90,154,282,538The rule: 2*2^x+26
arithmetic_sequence
null
[ 15, 674, 220, 1032, 674, 220, 1627, 674, 220, 2137, 674, 220, 4103, 674, 220, 2397, 791, 6037, 25, 220, 1032, 18988, 10, 15, 271 ]
571
null
25
null
cl100k_base
44
13*x+0
null
null
0 # 13 # 26 # 39 # 52 # 65The rule: 13*x+0
arithmetic_sequence
null
[ 1691, 201, 1313, 201, 1419, 201, 1187, 201, 914, 201, 1627, 791, 6037, 25, 865, 10, 15, 10, 1691, 271 ]
572
null
20
null
cl100k_base
35
x+0+21
null
null
21 22 23 24 25 26The rule: x+0+21
arithmetic_sequence
null
[ 1313, 405, 1419, 405, 1187, 405, 914, 405, 1627, 405, 1544, 405, 1591, 791, 6037, 25, 865, 10, 605, 10, 717, 271 ]
573
null
22
null
cl100k_base
45
x+10+12
null
null
22->23->24->25->26->27->28The rule: x+10+12
arithmetic_sequence
null
[ 4364, 220, 220, 8878, 220, 220, 3965, 220, 220, 10680, 220, 220, 5245, 220, 220, 6280, 791, 6037, 25, 220, 868, 6737, 87, 10, 23, 696 ]
574
null
26
null
cl100k_base
48
15*(x+8)
null
null
120 135 150 165 180 195The rule: 15*(x+8)
arithmetic_sequence
null
[ 5925, 197, 6281, 197, 7461, 197, 10559, 197, 18061, 197, 5037, 19, 197, 19770, 21, 197, 10513, 5728, 791, 6037, 25, 220, 19, 61, 87, 10, 1954, 271 ]
575
null
28
null
cl100k_base
51
4^x+90
null
null
91 94 106 154 346 1114 4186 16474The rule: 4^x+90
arithmetic_sequence
null
[ 1484, 220, 15602, 220, 23619, 220, 8610, 20, 220, 23480, 24, 220, 4468, 1721, 220, 20615, 3080, 220, 11242, 10680, 220, 20823, 22094, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 972, 271 ]
576
null
35
null
cl100k_base
68
3^(x+4)+18
null
null
99 261 747 2205 6579 19701 59067 177165 531459The rule: 3^(x+4)+18
arithmetic_sequence
null
[ 15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 198, 22, 791, 6037, 25, 865, 10, 15, 9, 24, 271 ]
577
null
24
null
cl100k_base
32
x+0*9
null
null
0 1 2 3 4 5 6 7The rule: x+0*9
arithmetic_sequence
null
[ 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 791, 6037, 25, 865, 10, 15, 9, 975, 271 ]
578
null
19
null
cl100k_base
28
x+0*14
null
null
0, 1, 2, 3The rule: x+0*14
arithmetic_sequence
null
[ 15, 674, 220, 16, 674, 220, 17, 674, 220, 18, 674, 220, 19, 674, 220, 20, 674, 220, 21, 674, 220, 22, 674, 220, 23, 791, 6037, 25, 865, 10, 15, 9, 1313, 271 ]
579
null
34
null
cl100k_base
51
x+0*22
null
null
0 # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8The rule: x+0*22
arithmetic_sequence
null
[ 15, 11, 220, 2618, 11, 220, 6281, 11, 220, 9335, 11, 220, 9367, 11, 220, 12422, 11, 220, 16544, 11, 220, 18196, 791, 6037, 25, 220, 2618, 18988, 10, 15, 271 ]
580
null
31
null
cl100k_base
52
47*x+0
null
null
0, 47, 94, 141, 188, 235, 282, 329The rule: 47*x+0
arithmetic_sequence
null
[ 1682, 262, 220, 1758, 262, 220, 4331, 262, 220, 7699, 262, 220, 16955, 262, 220, 23532, 262, 220, 12425, 18, 262, 220, 23654, 22, 262, 220, 4468, 2545, 262, 220, 20615, 2075, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 1627, 271 ]
581
null
44
null
cl100k_base
89
3*3^x+26
null
null
29 35 53 107 269 755 2213 6587 19709 59075The rule: 3*3^x+26
arithmetic_sequence
null
[ 19, 271, 717, 271, 1927, 271, 6640, 271, 16723, 271, 24425, 271, 17335, 21, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 271 ]
582
null
24
null
cl100k_base
47
4*3^x
null
null
4 12 36 108 324 972 2916The rule: 4*3^x
arithmetic_sequence
null
[ 1644, 197, 3174, 197, 3226, 197, 4578, 197, 9800, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 914, 271 ]
583
null
21
null
cl100k_base
37
2^(x+3)+25
null
null
33 41 57 89 153The rule: 2^(x+3)+25
arithmetic_sequence
null
[ 1591, 11, 220, 843, 11, 220, 1272, 11, 220, 3487, 11, 220, 2421, 11, 220, 9756, 11, 220, 11209, 11, 220, 21600, 11, 220, 6849, 23, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 1187, 271 ]
584
null
38
null
cl100k_base
59
4*2^x+24
null
null
28, 32, 40, 56, 88, 152, 280, 536, 1048The rule: 4*2^x+24
arithmetic_sequence
null
[ 2075, 11, 220, 1954, 11, 220, 6550, 11, 220, 4364, 11, 220, 8878, 11, 220, 3965, 11, 220, 10680, 11, 220, 5245, 11, 220, 6280, 791, 6037, 25, 220, 868, 6737, 87, 10, 20, 696 ]
585
null
35
null
cl100k_base
61
15*(x+5)
null
null
75, 90, 105, 120, 135, 150, 165, 180, 195The rule: 15*(x+5)
arithmetic_sequence
null
[ 14487, 201, 20360, 201, 21776, 201, 21876, 201, 23402, 201, 21385, 201, 20744, 201, 25388, 201, 25527, 201, 25659, 791, 6037, 25, 220, 3174, 6737, 87, 10, 605, 696 ]
586
null
29
null
cl100k_base
60
41*(x+10)
null
null
410 451 492 533 574 615 656 697 738 779The rule: 41*(x+10)
arithmetic_sequence
null
[ 3174, 201, 2075, 201, 7743, 201, 10290, 791, 6037, 25, 220, 1958, 18988, 10, 3174, 271 ]
587
null
16
null
cl100k_base
32
34*x+41
null
null
41 75 109 143The rule: 34*x+41
arithmetic_sequence
null
[ 2096, 674, 220, 1774, 674, 220, 2790, 674, 220, 2618, 674, 220, 2166, 674, 220, 2491, 674, 220, 1135, 674, 220, 3971, 674, 220, 4103, 674, 220, 4331, 791, 6037, 25, 865, 10, 15, 10, 2096, 271 ]
588
null
37
null
cl100k_base
65
x+0+44
null
null
44 # 45 # 46 # 47 # 48 # 49 # 50 # 51 # 52 # 53The rule: x+0+44
arithmetic_sequence
null
[ 1032, 11, 220, 868, 11, 220, 1691, 11, 220, 2137, 11, 220, 6365, 11, 220, 3192, 11, 220, 25021, 11, 220, 13762, 24, 11, 220, 23480, 18, 11, 220, 5162, 2721, 791, 6037, 25, 220, 18, 61, 87, 10, 717, 271 ]
589
null
41
null
cl100k_base
65
3^x+12
null
null
13, 15, 21, 39, 93, 255, 741, 2199, 6573, 19695The rule: 3^x+12
arithmetic_sequence
null
[ 2970, 201, 2031, 201, 8899, 201, 12226, 201, 7699, 23, 201, 18136, 15, 201, 10513, 1987, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 4370, 271 ]
590
null
28
null
cl100k_base
49
4*4^x+54
null
null
58 70 118 310 1078 4150 16438The rule: 4*4^x+54
arithmetic_sequence
null
[ 15, 674, 220, 914, 674, 220, 1135, 674, 220, 2075, 674, 220, 1041, 674, 220, 6549, 674, 220, 3965, 674, 220, 10005, 674, 220, 1049, 674, 220, 11057, 791, 6037, 25, 220, 914, 18988, 10, 15, 271 ]
591
null
37
null
cl100k_base
70
25*x+0
null
null
0 # 25 # 50 # 75 # 100 # 125 # 150 # 175 # 200 # 225The rule: 25*x+0
arithmetic_sequence
null
[ 17, 197, 21, 197, 972, 197, 4370, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271 ]
592
null
17
null
cl100k_base
26
2*3^x
null
null
2 6 18 54The rule: 2*3^x
arithmetic_sequence
null
[ 19166, 262, 220, 12819, 262, 220, 20911, 262, 220, 18048, 262, 220, 22048, 262, 220, 20691, 791, 6037, 25, 220, 2983, 6737, 87, 10, 24, 696 ]
593
null
26
null
cl100k_base
58
42*(x+9)
null
null
378 420 462 504 546 588The rule: 42*(x+9)
arithmetic_sequence
null
[ 3534, 201, 3264, 201, 6550, 201, 8874, 201, 10718, 201, 9716, 201, 15231, 201, 14868, 201, 21138, 201, 23038, 791, 6037, 25, 865, 61, 18, 10, 3534, 271 ]
594
null
28
null
cl100k_base
55
x^3+97
null
null
97 98 105 124 161 222 313 440 609 826The rule: x^3+97
arithmetic_sequence
null
[ 4370, 262, 220, 1399, 262, 220, 2287, 262, 220, 5332, 262, 220, 2495, 262, 220, 5833, 262, 220, 1954, 262, 220, 4161, 791, 6037, 25, 220, 21, 6737, 87, 10, 24, 696 ]
595
null
32
null
cl100k_base
63
6*(x+9)
null
null
54 60 66 72 78 84 90 96The rule: 6*(x+9)
arithmetic_sequence
null
[ 16, 197, 17, 197, 19, 197, 23, 197, 845, 197, 843, 197, 1227, 197, 4386, 197, 4146, 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271 ]
596
null
27
null
cl100k_base
41
2^x+0
null
null
1 2 4 8 16 32 64 128 256The rule: 2^x+0
arithmetic_sequence
null
[ 16, 11, 17, 11, 19, 11, 23, 11, 845, 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271 ]
597
null
19
null
cl100k_base
27
2^x+0
null
null
1,2,4,8,16The rule: 2^x+0
arithmetic_sequence
null
[ 2421, 674, 220, 4578, 674, 220, 1954, 674, 220, 5925, 674, 220, 6083, 791, 6037, 25, 865, 10, 2491, 10, 2137, 271 ]
598
null
22
null
cl100k_base
41
x+49+39
null
null
88 # 89 # 90 # 91 # 92The rule: x+49+39
arithmetic_sequence
null
[ 1135, 674, 220, 3971, 674, 220, 4370, 674, 220, 2946, 674, 220, 2287, 674, 220, 2075, 674, 220, 4218, 674, 220, 1484, 791, 6037, 25, 865, 61, 17, 10, 1135, 271 ]
599
null
31
null
cl100k_base
55
x^2+50
null
null
50 # 51 # 54 # 59 # 66 # 75 # 86 # 99The rule: x^2+50