numbers
listlengths 4
4
| solutions
listlengths 1
11
| solvable
bool 1
class | amt
float64 4.36
212
| solved_rate
float64 0.2
1
| mean_time
float64 4.63
41.1
| std_time
float64 1.25
23
| __index_level_0__
int64 0
1.36k
|
|---|---|---|---|---|---|---|---|
[
3,
4,
5,
7
] |
[
"4×3+7+5",
"(7-5)×4×3",
"(5+3)×(7-4)",
"5×4+7-3",
"(7-3)×5+4",
"(7+5-4)×3"
] | true
| 6.86
| 0.967
| 7.38
| 2.69
| 727
|
[
3,
4,
7,
12
] |
[
"7×3+12/4",
"12×7/3-4",
"7×4-12/3",
"12×7/4+3"
] | true
| 15.14
| 0.831
| 14.51
| 6.45
| 746
|
[
11,
12,
12,
13
] |
[
"13+12+11-12",
"13×12-12×11"
] | true
| 6.89
| 0.972
| 7.5
| 2.72
| 1,355
|
[
1,
1,
2,
9
] |
[
"(9-1)×(2+1)"
] | true
| 6.8
| 0.95
| 7.11
| 2.31
| 7
|
[
3,
3,
12,
13
] |
[
"13+12-3/3",
"13×3-12-3"
] | true
| 6.84
| 0.934
| 7.28
| 2.68
| 714
|
[
3,
3,
3,
10
] |
[
"10×3-3-3",
"(10-3)×3+3"
] | true
| 6.92
| 0.944
| 7.49
| 3.17
| 667
|
[
6,
8,
8,
9
] |
[
"9×8-8×6",
"(8+8)×9/6"
] | true
| 20.38
| 0.628
| 12.06
| 7.29
| 1,220
|
[
2,
2,
3,
8
] |
[
"8×3+2-2",
"(8+3)×2+2"
] | true
| 5.3
| 0.982
| 5.68
| 1.89
| 357
|
[
1,
9,
12,
12
] |
[
"(12-9-1)×12"
] | true
| 6.54
| 0.929
| 6.93
| 2.79
| 329
|
[
4,
4,
4,
5
] |
[
"(4/4+5)×4"
] | true
| 8.03
| 0.85
| 8.05
| 3.95
| 900
|
[
4,
8,
10,
11
] |
[
"(10+4-11)×8"
] | true
| 7.79
| 0.908
| 8.12
| 3.49
| 1,047
|
[
4,
5,
9,
9
] |
[
"(9/9+5)×4"
] | true
| 6.51
| 0.882
| 6.76
| 2.8
| 970
|
[
1,
5,
10,
12
] |
[
"12×10×1/5",
"12/(1-5/10)"
] | true
| 6.62
| 0.922
| 7.05
| 3.06
| 258
|
[
5,
5,
5,
9
] |
[
"9+5+5+5"
] | true
| 10.32
| 0.875
| 10.07
| 4.21
| 1,073
|
[
2,
2,
4,
13
] |
[
"13×2+2-4",
"(4-2)×13-2",
"13×4/2-2",
"13×2-4/2"
] | true
| 8.74
| 0.911
| 9.24
| 4.19
| 372
|
[
4,
6,
7,
10
] |
[
"(6-4)×7+10",
"7×4+6-10",
"(7-4)×10-6",
"(10-6)×7-4"
] | true
| 10.32
| 0.869
| 10.46
| 4.88
| 993
|
[
4,
4,
8,
12
] |
[
"12×4×4/8",
"8×4+4-12",
"(4-8/4)×12",
"(12-4)×4-8"
] | true
| 11.2
| 0.92
| 11.87
| 5.22
| 932
|
[
1,
3,
5,
10
] |
[
"10×3-5-1",
"5×3+10-1"
] | true
| 9.18
| 0.932
| 9.66
| 3.84
| 142
|
[
2,
5,
5,
8
] |
[
"(5/5+2)×8"
] | true
| 7.08
| 0.886
| 7.29
| 3.23
| 525
|
[
6,
8,
11,
11
] |
[
"11+11+8-6"
] | true
| 7.03
| 0.942
| 7.56
| 3.11
| 1,232
|
[
4,
8,
8,
9
] |
[
"(8+4-9)×8"
] | true
| 8.23
| 0.925
| 8.52
| 3.2
| 1,036
|
[
4,
5,
7,
13
] |
[
"(13-5)×(7-4)",
"(13×7+5)/4"
] | true
| 16.58
| 0.722
| 13.01
| 6.56
| 963
|
[
12,
12,
12,
13
] |
[
"(12+12)×(13-12)",
"13+12-12/12"
] | true
| 5.79
| 0.975
| 6.13
| 2
| 1,359
|
[
2,
3,
6,
7
] |
[
"7×6/2+3",
"7×3+6/2",
"(7×2-6)×3"
] | true
| 16.66
| 0.811
| 15.37
| 6.84
| 440
|
[
2,
5,
6,
6
] |
[
"(5×2-6)×6",
"(5-2)×6+6"
] | true
| 11.91
| 0.782
| 10.44
| 6.03
| 531
|
[
8,
8,
9,
12
] |
[
"12×8-9×8"
] | true
| 25.95
| 0.568
| 13.14
| 7.83
| 1,298
|
[
1,
5,
5,
9
] |
[
"(5+1)×(9-5)"
] | true
| 9.05
| 0.886
| 9.18
| 3.72
| 226
|
[
5,
8,
10,
11
] |
[
"11+10+8-5"
] | true
| 11.44
| 0.876
| 11.19
| 4.87
| 1,157
|
[
1,
5,
5,
11
] |
[
"(11-5)×(5-1)"
] | true
| 9.97
| 0.877
| 10.09
| 4.23
| 228
|
[
6,
6,
6,
12
] |
[
"(6+6)×12/6",
"(6-12/6)×6"
] | true
| 9.32
| 0.892
| 9.49
| 4.57
| 1,182
|
[
1,
4,
8,
9
] |
[
"9×8/(4-1)",
"8×4+1-9",
"(9-1)×4-8"
] | true
| 12.08
| 0.89
| 12.17
| 5.22
| 212
|
[
1,
2,
4,
13
] |
[
"(13+1)×2-4",
"(13-1)×(4-2)",
"(13-1)×4/2"
] | true
| 7.59
| 0.939
| 7.94
| 2.98
| 79
|
[
1,
3,
6,
8
] |
[
"(8-3-1)×6",
"8×6/(3-1)",
"(6-3)×8×1",
"(6/3+1)×8"
] | true
| 6.01
| 0.958
| 6.45
| 2.55
| 148
|
[
4,
4,
7,
12
] |
[
"(12-4)×(7-4)",
"(7-4)×4+12",
"(12-7)×4+4"
] | true
| 8.69
| 0.895
| 8.97
| 4.17
| 926
|
[
3,
3,
4,
5
] |
[
"(3/3+5)×4",
"(5-3)×4×3",
"(5+4)×3-3"
] | true
| 7.45
| 0.94
| 7.9
| 3.25
| 671
|
[
4,
8,
13,
13
] |
[
"13+13-8/4",
"(4-13/13)×8"
] | true
| 6.05
| 0.946
| 6.31
| 1.96
| 1,054
|
[
4,
4,
4,
8
] |
[
"8×4-4-4",
"(4+4)×4-8",
"(4-4/4)×8",
"(8/4+4)×4"
] | true
| 6.89
| 0.963
| 7.49
| 2.9
| 903
|
[
3,
4,
10,
10
] |
[
"10×3+4-10"
] | true
| 15.18
| 0.755
| 13.27
| 6.28
| 756
|
[
1,
3,
4,
9
] |
[
"(4+1)×3+9",
"(9-3)×4×1",
"9×3+1-4",
"(4-1)×9-3"
] | true
| 8.4
| 0.946
| 8.94
| 3.86
| 133
|
[
4,
8,
8,
8
] |
[
"(8-4)×8-8",
"8×8/4+8",
"(4-8/8)×8"
] | true
| 6.87
| 0.945
| 7.27
| 2.8
| 1,035
|
[
2,
2,
12,
13
] |
[
"13+12-2/2"
] | true
| 7.02
| 0.926
| 7.33
| 2.67
| 408
|
[
3,
7,
12,
12
] |
[
"(12-7-3)×12",
"(12×7-12)/3",
"(12/12+7)×3"
] | true
| 8.05
| 0.912
| 8.44
| 3.54
| 855
|
[
2,
4,
8,
9
] |
[
"(9-4-2)×8"
] | true
| 10.39
| 0.835
| 10.03
| 4.55
| 507
|
[
5,
5,
7,
7
] |
[
"7+7+5+5",
"7×7-5×5",
"5×5-7/7",
"(7+5)×(7-5)"
] | true
| 5.66
| 0.979
| 6.01
| 1.93
| 1,079
|
[
2,
4,
7,
11
] |
[
"11+7+4+2",
"(4+2)×(11-7)",
"(11+2-7)×4"
] | true
| 8.68
| 0.926
| 9.08
| 3.86
| 504
|
[
3,
8,
8,
9
] |
[
"(9-8)×8×3",
"(9-8/8)×3"
] | true
| 6.94
| 0.958
| 7.29
| 2.55
| 859
|
[
2,
2,
2,
9
] |
[
"(9+2)×2+2"
] | true
| 14.13
| 0.757
| 11.48
| 6.62
| 347
|
[
2,
2,
6,
11
] |
[
"(11-2)×2+6"
] | true
| 26.25
| 0.622
| 19.02
| 8.98
| 386
|
[
1,
1,
1,
8
] |
[
"(1+1+1)×8"
] | true
| 4.46
| 0.988
| 4.66
| 1.25
| 0
|
[
2,
2,
3,
11
] |
[
"(11+3-2)×2"
] | true
| 9.31
| 0.861
| 9.3
| 4.21
| 360
|
[
7,
10,
10,
11
] |
[
"11+10+10-7"
] | true
| 7.38
| 0.937
| 7.72
| 2.98
| 1,287
|
[
2,
4,
4,
6
] |
[
"(4×2-4)×6",
"4×4+6+2",
"(4+4)×6/2",
"(6+4)×2+4"
] | true
| 11.54
| 0.901
| 11.89
| 4.82
| 475
|
[
5,
9,
11,
13
] |
[
"(11-5)×(13-9)"
] | true
| 23.56
| 0.613
| 16.85
| 7.77
| 1,167
|
[
7,
10,
12,
12
] |
[
"(10-7)×12-12",
"12×10/(12-7)"
] | true
| 7.8
| 0.847
| 7.89
| 3.92
| 1,290
|
[
4,
6,
6,
12
] |
[
"(6-4)×6+12",
"12×6/4+6"
] | true
| 12.19
| 0.86
| 11.97
| 6.04
| 989
|
[
4,
5,
8,
9
] |
[
"(9+5-8)×4",
"(9-5)×4+8"
] | true
| 8.12
| 0.894
| 8.53
| 4.16
| 965
|
[
3,
11,
11,
12
] |
[
"(3-11/11)×12"
] | true
| 6.29
| 0.915
| 6.53
| 2.23
| 894
|
[
3,
5,
10,
10
] |
[
"(10-10/5)×3"
] | true
| 27.46
| 0.54
| 13.48
| 7.51
| 792
|
[
1,
3,
10,
11
] |
[
"11×3+1-10",
"(11+10+3)×1"
] | true
| 7.05
| 0.963
| 7.7
| 3.16
| 172
|
[
2,
3,
7,
10
] |
[
"10×2+7-3",
"(10×7+2)/3"
] | true
| 17.64
| 0.77
| 15.37
| 7.02
| 450
|
[
1,
3,
3,
10
] |
[
"(10+1-3)×3",
"(10-1)×3-3"
] | true
| 9.05
| 0.901
| 9.22
| 4.14
| 125
|
[
5,
5,
11,
13
] |
[
"13+11+5-5"
] | true
| 6.22
| 0.963
| 6.88
| 2.62
| 1,097
|
[
2,
5,
5,
13
] |
[
"(13-5)×(5-2)",
"(5×5-13)×2",
"(13-5/5)×2"
] | true
| 7.02
| 0.923
| 7.46
| 2.86
| 530
|
[
3,
3,
12,
12
] |
[
"12×12/(3+3)",
"12+12+3-3",
"(12-12/3)×3"
] | true
| 5.4
| 0.988
| 5.88
| 2.04
| 713
|
[
1,
2,
6,
8
] |
[
"(6-2-1)×8",
"8×6×1/2",
"(8+1)×2+6"
] | true
| 6.15
| 0.961
| 6.49
| 2.36
| 90
|
[
8,
10,
12,
12
] |
[
"(12+8)×12/10",
"12×10-12×8"
] | true
| 20.55
| 0.633
| 11.9
| 7.62
| 1,316
|
[
1,
4,
4,
6
] |
[
"(6+1)×4-4",
"(6-1)×4+4"
] | true
| 15.95
| 0.797
| 13.98
| 6.92
| 181
|
[
3,
7,
7,
12
] |
[
"(3-7/7)×12"
] | true
| 6.63
| 0.902
| 6.81
| 2.61
| 838
|
[
2,
3,
3,
8
] |
[
"(3×2-3)×8",
"(3-2)×8×3",
"(3+3)×8/2",
"(3/3+2)×8"
] | true
| 5.62
| 0.97
| 6
| 1.96
| 414
|
[
1,
5,
9,
9
] |
[
"9+9+5+1"
] | true
| 7.41
| 0.944
| 7.9
| 3.23
| 251
|
[
1,
2,
3,
13
] |
[
"13×2+1-3",
"(3-1)×13-2"
] | true
| 10.8
| 0.915
| 11.16
| 4.86
| 69
|
[
1,
3,
4,
7
] |
[
"7×4-3-1",
"(3+1)×7-4",
"7×3+4-1",
"(4-1)×7+3"
] | true
| 8.9
| 0.951
| 9.73
| 3.97
| 131
|
[
1,
7,
9,
10
] |
[
"(9-1)×(10-7)"
] | true
| 10.1
| 0.869
| 9.98
| 3.97
| 300
|
[
5,
5,
8,
12
] |
[
"(5+5-8)×12"
] | true
| 12.1
| 0.794
| 11.1
| 5.12
| 1,087
|
[
1,
9,
11,
11
] |
[
"(11+1)×(11-9)"
] | true
| 7.77
| 0.901
| 7.97
| 3.09
| 326
|
[
9,
10,
12,
13
] |
[
"13+12+9-10"
] | true
| 8.3
| 0.935
| 8.87
| 3.64
| 1,330
|
[
6,
7,
10,
13
] |
[
"13+10+7-6",
"(13-7)×(10-6)",
"(10+7-13)×6"
] | true
| 7.07
| 0.967
| 7.62
| 2.81
| 1,213
|
[
2,
4,
6,
13
] |
[
"13×2+4-6",
"(6-4)×13-2",
"(13-4)×2+6",
"4/(13/6-2)"
] | true
| 10.06
| 0.872
| 10.26
| 5.09
| 499
|
[
3,
7,
9,
9
] |
[
"(9+3)×(9-7)",
"(9×7+9)/3",
"(9/9+7)×3"
] | true
| 6.52
| 0.91
| 6.96
| 2.86
| 845
|
[
2,
2,
4,
5
] |
[
"5×4+2+2",
"(2+2)×5+4",
"5×4+2×2",
"5×2×2+4",
"(2/2+5)×4",
"(5-2)×4×2"
] | true
| 6.25
| 0.983
| 6.61
| 2.08
| 364
|
[
2,
4,
6,
9
] |
[
"(9-6)×4×2",
"(4-2)×9+6",
"9×4/2+6",
"9×4-6×2",
"(9-6/2)×4",
"(4/6+2)×9",
"6/(9/4-2)"
] | true
| 8.66
| 0.921
| 9.16
| 4.15
| 495
|
[
9,
9,
11,
12
] |
[
"9/9+12+11",
"(12-9)×11-9"
] | true
| 5.64
| 0.94
| 5.99
| 2.14
| 1,322
|
[
1,
11,
13,
13
] |
[
"(13-1)×(13-11)",
"(11/13+1)×13"
] | true
| 8.79
| 0.913
| 9.1
| 3.85
| 338
|
[
2,
3,
4,
5
] |
[
"(5+3-2)×4",
"(5+4+3)×2"
] | true
| 11.5
| 0.844
| 11.11
| 5.56
| 421
|
[
1,
3,
8,
12
] |
[
"12+8+3+1",
"12×8/(3+1)",
"(12/3-1)×8"
] | true
| 7.72
| 0.967
| 8.22
| 2.9
| 164
|
[
1,
1,
4,
10
] |
[
"(1+1)×10+4"
] | true
| 9.67
| 0.847
| 9.43
| 5.1
| 28
|
[
2,
4,
10,
10
] |
[
"(4/10+2)×10"
] | true
| 116.36
| 0.26
| 30.52
| 19.71
| 516
|
[
1,
4,
5,
10
] |
[
"(10+1-5)×4",
"(10-4)×(5-1)"
] | true
| 8.97
| 0.914
| 9.16
| 3.67
| 193
|
[
3,
6,
6,
13
] |
[
"(13-6-3)×6",
"(13×6-6)/3"
] | true
| 15.47
| 0.727
| 12.46
| 6.72
| 808
|
[
4,
6,
8,
12
] |
[
"(6+4-8)×12",
"8×6/4+12",
"(8+4)×12/6",
"(12-6)×(8-4)",
"12×4/(8-6)",
"(6-12/4)×8",
"(8-12/6)×4"
] | true
| 8.29
| 0.942
| 8.94
| 3.55
| 998
|
[
1,
3,
9,
12
] |
[
"(3+1)×9-12",
"(12-1)×3-9",
"(12+9+3)×1",
"(9/3-1)×12"
] | true
| 6.14
| 0.965
| 6.57
| 2.41
| 169
|
[
4,
4,
4,
11
] |
[
"(11-4)×4-4"
] | true
| 8.69
| 0.863
| 8.87
| 4.6
| 906
|
[
2,
11,
11,
13
] |
[
"11×2+13-11",
"(11+11)/2+13",
"(13-11/11)×2",
"(13-11)×11+2"
] | true
| 6.83
| 0.951
| 7.36
| 2.84
| 652
|
[
1,
3,
10,
12
] |
[
"12+10+3-1"
] | true
| 7.13
| 0.965
| 7.6
| 2.74
| 173
|
[
2,
4,
10,
12
] |
[
"(10-4×2)×12",
"12+10+4-2",
"4/2+12+10",
"(10-2)×12/4",
"(10-4)×2+12",
"12/(10/4-2)"
] | true
| 7.43
| 0.966
| 8.1
| 3.22
| 518
|
[
5,
6,
7,
8
] |
[
"(7+5)×(8-6)",
"(7+5-8)×6",
"8×6/(7-5)"
] | true
| 7.87
| 0.938
| 8.33
| 3.14
| 1,108
|
[
4,
5,
12,
13
] |
[
"13+12+4-5",
"(13-5)×12/4",
"(13+5-12)×4"
] | true
| 5.92
| 0.977
| 6.44
| 2.16
| 982
|
[
2,
4,
5,
13
] |
[
"13+5+4+2",
"(13-5-2)×4",
"(13+4-5)×2"
] | true
| 7.79
| 0.947
| 8.37
| 3.35
| 491
|
[
1,
2,
4,
7
] |
[
"(7+1-2)×4",
"(7+4+1)×2"
] | true
| 10.41
| 0.891
| 10.73
| 5.06
| 73
|
[
5,
7,
9,
13
] |
[
"13+9+7-5",
"(13-7)×(9-5)"
] | true
| 9.95
| 0.911
| 10.37
| 4.02
| 1,141
|
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