numbers
stringlengths 12
16
| solutions
stringlengths 11
136
| solvable
bool 1
class | amt
float64 4.57
191
| solved_rate
float64 0.22
1
| mean_time
float64 4.81
34.8
| std_time
float64 1.47
19.7
|
|---|---|---|---|---|---|---|
[3, 4, 7, 11]
|
['(11+7)×4/3', '(11-3)×(7-4)', '(11+4-7)×3']
| true
| 9.49
| 0.868
| 9.31
| 4.63
|
[2, 4, 7, 10]
|
['(10-7)×4×2', '(4-2)×7+10', '7×4/2+10', '(10-2)×(7-4)']
| true
| 8.56
| 0.912
| 8.82
| 3.86
|
[1, 1, 4, 8]
|
['(8+4)×(1+1)', '(8-1-1)×4', '(4-1)×8×1']
| true
| 5.03
| 0.982
| 5.4
| 1.83
|
[1, 4, 4, 10]
|
['(10-4)×4×1']
| true
| 7.92
| 0.923
| 8.15
| 3.46
|
[1, 3, 10, 11]
|
['11×3+1-10', '(11+10+3)×1']
| true
| 7.05
| 0.963
| 7.7
| 3.16
|
[4, 4, 4, 6]
|
['6×4+4-4']
| true
| 5.27
| 0.982
| 5.66
| 1.95
|
[4, 7, 10, 10]
|
['(7-10/10)×4']
| true
| 9.17
| 0.839
| 8.92
| 4.21
|
[6, 7, 8, 10]
|
['(7+6-10)×8', '7×6-10-8', '(8-6)×7+10']
| true
| 8.11
| 0.914
| 8.61
| 3.65
|
[3, 5, 5, 12]
|
['(3-5/5)×12']
| true
| 7.43
| 0.889
| 7.77
| 3.45
|
[4, 5, 5, 8]
|
['(4-5/5)×8']
| true
| 7.38
| 0.879
| 7.52
| 3
|
[3, 8, 9, 10]
|
['(10-9)×8×3', '10+9+8-3', '(9+3)×(10-8)']
| true
| 6.71
| 0.963
| 7.06
| 2.54
|
[2, 5, 5, 7]
|
['7×2+5+5']
| true
| 12.33
| 0.821
| 11.77
| 4.99
|
[2, 8, 10, 13]
|
['13×2+8-10', '(10-8)×13-2']
| true
| 13.91
| 0.809
| 13.04
| 6.27
|
[9, 9, 9, 12]
|
['(9+9)×12/9']
| true
| 19.42
| 0.631
| 10.38
| 7.1
|
[3, 3, 7, 12]
|
['(3×3-7)×12', '(12+3-7)×3', '(7-3)×3+12']
| true
| 10.53
| 0.844
| 10.37
| 5.39
|
[1, 4, 5, 5]
|
['5×4+5-1', '(5-1)×5+4']
| true
| 7.59
| 0.959
| 8.09
| 2.79
|
[2, 4, 6, 11]
|
['11×2+6-4', '(6-4)×11+2', '(11+4)×2-6', '4/(2-11/6)']
| true
| 11.49
| 0.853
| 11.28
| 5.59
|
[1, 1, 13, 13]
|
['13+13-1-1']
| true
| 5.14
| 0.994
| 5.46
| 1.64
|
[2, 2, 9, 11]
|
['11+9+2+2', '2×2+11+9']
| true
| 7.89
| 0.917
| 8.18
| 3.26
|
[1, 11, 12, 13]
|
['(13-11)×12×1']
| true
| 7.44
| 0.943
| 7.87
| 3.18
|
[1, 5, 7, 10]
|
['7×5-10-1', '(7/5+1)×10']
| true
| 20.8
| 0.697
| 16.68
| 7.9
|
[1, 4, 5, 11]
|
['(11-5)×4×1']
| true
| 8.35
| 0.907
| 8.63
| 4
|
[4, 7, 9, 11]
|
['(7-4)×11-9', '(9-4)×7-11']
| true
| 37.33
| 0.523
| 23.35
| 11.52
|
[1, 1, 2, 7]
|
['(7+1)×(2+1)']
| true
| 6.73
| 0.955
| 6.95
| 2.06
|
[2, 3, 5, 13]
|
['3×2+13+5', '13×2+3-5', '(5-3)×13-2']
| true
| 12.22
| 0.858
| 12.12
| 5.45
|
[4, 9, 9, 12]
|
['(9+9-12)×4', '(4-12/9)×9']
| true
| 17.15
| 0.711
| 13.83
| 6.78
|
[5, 5, 6, 6]
|
['(5+5-6)×6', '5×5-6/6', '(6-6/5)×5']
| true
| 7.14
| 0.931
| 7.63
| 2.91
|
[2, 3, 5, 6]
|
['6×5-3×2', '5×3×2-6', '(5+2-3)×6', '(5-3)×6×2', '(5+3)×6/2', '(6/2+5)×3']
| true
| 7.71
| 0.954
| 8.19
| 3.01
|
[2, 3, 5, 9]
|
['(9-5)×3×2', '9×3+2-5', '(5-2)×9-3', '(9×5+3)/2']
| true
| 8.87
| 0.922
| 9.41
| 4.3
|
[6, 6, 7, 10]
|
['(10-7)×6+6']
| true
| 8.05
| 0.841
| 8.08
| 4.22
|
[1, 3, 5, 9]
|
['(9-3)×(5-1)', '(5×3+9)×1', '(5/3+1)×9']
| true
| 10.47
| 0.907
| 10.72
| 4.59
|
[2, 10, 10, 11]
|
['(10/10+11)×2']
| true
| 7.59
| 0.85
| 7.41
| 3.02
|
[10, 11, 12, 13]
|
['13+12+10-11']
| true
| 8.21
| 0.959
| 8.84
| 3.58
|
[2, 5, 5, 10]
|
['(5-2/10)×5']
| true
| 191.41
| 0.216
| 24.53
| 17.32
|
[5, 5, 13, 13]
|
['5×5-13/13']
| true
| 7.22
| 0.854
| 7.42
| 3.23
|
[3, 3, 3, 9]
|
['(9-3/3)×3']
| true
| 9.63
| 0.842
| 9.58
| 4.9
|
[3, 4, 8, 12]
|
['12×4/3+8', '12×4-8×3', '12×3-8-4', '(8+4)×3-12', '(12+4-8)×3', '(8-4)×3+12']
| true
| 11.71
| 0.875
| 11.59
| 5.58
|
[4, 7, 7, 7]
|
['(7-7/7)×4']
| true
| 6.86
| 0.888
| 7.08
| 3.04
|
[1, 3, 6, 6]
|
['(6+1-3)×6', '(6+6)×(3-1)', '(6×3+6)×1']
| true
| 6.5
| 0.973
| 7
| 2.62
|
[1, 7, 7, 9]
|
['9+7+7+1']
| true
| 7.19
| 0.961
| 7.57
| 2.88
|
[7, 7, 11, 12]
|
['7/7+12+11', '(12-7)×7-11']
| true
| 5.49
| 0.938
| 5.83
| 2.13
|
[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
|
[1, 5, 8, 12]
|
['(5+1)×(12-8)', '(8-5-1)×12', '12+8+5-1', '12×8/(5-1)']
| true
| 6.05
| 0.983
| 6.5
| 2.2
|
[1, 1, 1, 13]
|
['(13-1)×(1+1)']
| true
| 5.55
| 0.974
| 5.88
| 1.78
|
[7, 10, 10, 12]
|
['(12-10)×7+10']
| true
| 12.68
| 0.778
| 11.52
| 5.48
|
[3, 4, 9, 12]
|
['(9-4-3)×12', '9×4/3+12', '9×3-12/4', '(12+3-9)×4', '(12-4)×9/3', '12×9/4-3', '(3-4/12)×9']
| true
| 7.7
| 0.945
| 8.18
| 3.19
|
[1, 2, 7, 12]
|
['(7-1)×2+12']
| true
| 12.06
| 0.771
| 10.21
| 5.89
|
[4, 4, 5, 13]
|
['4×4+13-5']
| true
| 16.19
| 0.724
| 12.52
| 7.38
|
[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
|
[2, 7, 9, 13]
|
['9×2+13-7', '13×2+7-9', '(9-7)×13-2']
| true
| 9.86
| 0.874
| 10.04
| 4.92
|
[3, 5, 6, 11]
|
['(5×3-11)×6', '6×3+11-5', '(11-5)×3+6']
| true
| 13.09
| 0.825
| 12.41
| 6.81
|
[7, 9, 13, 13]
|
['13+13+7-9', '(13-7)×(13-9)']
| true
| 6.91
| 0.965
| 7.48
| 2.77
|
[3, 8, 8, 11]
|
['11+8+8-3']
| true
| 9.77
| 0.901
| 9.98
| 4.55
|
[3, 6, 12, 12]
|
['(6-3)×12-12', '(12-6)×12/3', '(6-12/3)×12', '(12/12+3)×6']
| true
| 7.8
| 0.931
| 8.36
| 3.55
|
[4, 6, 7, 9]
|
['(9+7)×6/4']
| true
| 59.92
| 0.421
| 20.42
| 12.69
|
[5, 8, 9, 13]
|
['9×5-13-8']
| true
| 65.12
| 0.363
| 34.82
| 16.79
|
[1, 2, 7, 9]
|
['9×2+7-1', '7×2+9+1']
| true
| 9.52
| 0.934
| 10.01
| 3.92
|
[4, 10, 12, 12]
|
['(10+4-12)×12', '12×12/(10-4)', '12×4/(12-10)']
| true
| 8.21
| 0.922
| 8.68
| 3.5
|
[1, 10, 12, 12]
|
['(12-10)×12×1']
| true
| 6.31
| 0.959
| 6.89
| 2.91
|
[3, 5, 10, 12]
|
['(10-5-3)×12', '12+10+5-3']
| true
| 7.54
| 0.948
| 8.1
| 3.18
|
[5, 5, 11, 13]
|
['13+11+5-5']
| true
| 6.22
| 0.963
| 6.88
| 2.62
|
[8, 9, 12, 13]
|
['13+12+8-9', '12×8/(13-9)']
| true
| 6.94
| 0.96
| 7.43
| 2.68
|
[2, 7, 8, 12]
|
['(12-7-2)×8', '(8-7)×12×2']
| true
| 6.37
| 0.952
| 6.83
| 2.6
|
[3, 5, 5, 8]
|
['(5+3)×(8-5)', '8×3+5-5']
| true
| 5.58
| 0.971
| 5.96
| 2.06
|
[1, 1, 3, 12]
|
['(3-1)×12×1']
| true
| 5.02
| 0.975
| 5.37
| 1.83
|
[4, 6, 6, 10]
|
['(10+6)×6/4']
| true
| 58.72
| 0.4
| 23.53
| 13.1
|
[2, 2, 10, 10]
|
['10+10+2+2', '2×2+10+10']
| true
| 4.81
| 0.982
| 5.11
| 1.61
|
[3, 5, 7, 9]
|
['9+7+5+3', '9×5-7×3', '(5-7/3)×9', '(9+3)×(7-5)']
| true
| 11.95
| 0.86
| 11.7
| 4.99
|
[7, 9, 10, 11]
|
['(10-7)×11-9', '(11-9)×7+10']
| true
| 12.71
| 0.774
| 11.18
| 5.49
|
[1, 2, 3, 6]
|
['(3+2-1)×6', '(6+2)×3×1', '(3-1)×6×2']
| true
| 6.68
| 0.971
| 7.13
| 2.42
|
[1, 1, 5, 5]
|
['(5+1)×(5-1)', '(5×5-1)×1']
| true
| 5.36
| 0.991
| 5.74
| 1.83
|
[4, 7, 10, 12]
|
['(10+4)×12/7', '(12-4)×(10-7)', '(10-7)×4+12']
| true
| 13.36
| 0.792
| 11.83
| 5.79
|
[2, 8, 8, 9]
|
['(9+2-8)×8']
| true
| 8.16
| 0.904
| 8.5
| 3.44
|
[3, 8, 13, 13]
|
['8×3+13-13']
| true
| 5.35
| 0.952
| 5.75
| 2.09
|
[6, 7, 7, 10]
|
['(7+7-10)×6']
| true
| 14.08
| 0.722
| 11.24
| 5.54
|
[2, 4, 11, 11]
|
['11+11+4-2', '4/2+11+11']
| true
| 5.94
| 0.962
| 6.36
| 2.34
|
[3, 5, 6, 10]
|
['10+6+5+3', '(10/5+6)×3']
| true
| 12.15
| 0.858
| 11.87
| 5.63
|
[2, 3, 5, 7]
|
['7×3+5-2', '(5-2)×7+3', '5×3+7+2']
| true
| 11.68
| 0.892
| 11.78
| 4.92
|
[6, 6, 10, 13]
|
['6/6+13+10', '(13-10)×6+6']
| true
| 5.97
| 0.938
| 6.5
| 2.71
|
[3, 5, 7, 12]
|
['(7+3)×12/5', '12×3-7-5', '(7+5)×3-12']
| true
| 18.49
| 0.712
| 14.74
| 8.13
|
[3, 3, 7, 7]
|
['(3/7+3)×7']
| true
| 51.64
| 0.407
| 13.53
| 8.22
|
[2, 2, 10, 11]
|
['(11×2-10)×2']
| true
| 98.41
| 0.308
| 26.78
| 17.49
|
[5, 9, 12, 12]
|
['(9+5-12)×12', '(12×9+12)/5']
| true
| 11.15
| 0.832
| 10.93
| 4.85
|
[2, 7, 10, 10]
|
['(10-2)×(10-7)', '(10+7)×2-10']
| true
| 17.77
| 0.678
| 13.95
| 6.11
|
[5, 6, 13, 13]
|
['(5-13/13)×6']
| true
| 6.97
| 0.872
| 7.07
| 2.8
|
[3, 3, 5, 6]
|
['6×5-3-3', '(3+3)×5-6', '(3×3-5)×6', '(5-3/3)×6', '(5+3)×(6-3)', '5×3+6+3', '(6+5-3)×3']
| true
| 6.77
| 0.965
| 7.38
| 2.69
|
[2, 2, 5, 5]
|
['5×5-2/2', '(5+5+2)×2']
| true
| 6.73
| 0.934
| 7.1
| 2.49
|
[1, 7, 13, 13]
|
['(13×13-1)/7']
| true
| 48.91
| 0.412
| 14.87
| 9.19
|
[1, 1, 6, 6]
|
['(6+6)×(1+1)', '(6-1-1)×6']
| true
| 6.11
| 0.974
| 6.54
| 2.21
|
[1, 2, 11, 11]
|
['(11+11+2)×1']
| true
| 5.97
| 0.975
| 6.46
| 2.42
|
[2, 7, 10, 11]
|
['10×7/2-11', '10×2+11-7']
| true
| 13.84
| 0.786
| 12.62
| 6.25
|
[5, 5, 8, 9]
|
['5×5+8-9', '(8-5)×5+9']
| true
| 8.37
| 0.899
| 8.84
| 4
|
[5, 10, 10, 13]
|
['(13×10-10)/5']
| true
| 49.77
| 0.39
| 17.43
| 8.13
|
[2, 4, 8, 11]
|
['(11-8)×4×2', '(11-4×2)×8', '11×2+8/4', '11×8/4+2']
| true
| 8.3
| 0.929
| 8.6
| 3.65
|
[8, 8, 8, 13]
|
['(8+8-13)×8']
| true
| 9.44
| 0.843
| 9.4
| 4.42
|
[8, 8, 8, 10]
|
['(10-8)×8+8']
| true
| 6.53
| 0.902
| 6.84
| 2.94
|
[4, 4, 4, 4]
|
['4×4+4+4']
| true
| 6.64
| 0.979
| 7.21
| 2.97
|
[4, 7, 8, 13]
|
['13+8+7-4', '(13-7)×(8-4)']
| true
| 9.72
| 0.909
| 10.22
| 4.41
|
[3, 6, 8, 13]
|
['13+8+6-3']
| true
| 15.3
| 0.817
| 14.74
| 6.46
|
[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
|
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