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, 5, 5]
|
['5×5+3-4', '5×3+5+4']
| true
| 8.09
| 0.94
| 8.78
| 3.79
|
[6, 6, 6, 12]
|
['(6+6)×12/6', '(6-12/6)×6']
| true
| 9.32
| 0.892
| 9.49
| 4.57
|
[3, 4, 8, 11]
|
['(11+3-8)×4', '8×4+3-11', '(11-3)×4-8', '8/(4-11/3)']
| true
| 10.32
| 0.869
| 10.25
| 5.02
|
[1, 3, 6, 13]
|
['(13+1-6)×3', '(13-1)×6/3']
| true
| 8.22
| 0.921
| 8.49
| 3.18
|
[1, 4, 7, 9]
|
['(9-1)×(7-4)']
| true
| 12.9
| 0.819
| 12.06
| 5.16
|
[3, 6, 11, 12]
|
['(11-6-3)×12', '(12+3-11)×6']
| true
| 7.4
| 0.933
| 7.82
| 3.18
|
[11, 11, 12, 12]
|
['12+12+11-11']
| true
| 5.15
| 0.988
| 5.54
| 1.87
|
[10, 11, 12, 12]
|
['(12+12)×(11-10)', '(12+10)×12/11']
| true
| 6.06
| 0.961
| 6.36
| 2.1
|
[4, 7, 11, 11]
|
['(7-11/11)×4']
| true
| 7.41
| 0.864
| 7.6
| 3.55
|
[3, 5, 9, 12]
|
['(5+3)×(12-9)', '(5-9/3)×12', '(12+5-9)×3', '(9-5)×3+12']
| true
| 9.09
| 0.9
| 9.37
| 4.08
|
[1, 4, 8, 11]
|
['11+8+4+1', '(11+1)×8/4']
| true
| 7.89
| 0.957
| 8.34
| 2.9
|
[10, 12, 13, 13]
|
['13+13+10-12']
| true
| 8.02
| 0.945
| 8.53
| 3.01
|
[2, 3, 3, 3]
|
['(3+3+2)×3', '(3×3+3)×2']
| true
| 13.24
| 0.822
| 12.17
| 6.04
|
[9, 10, 10, 13]
|
['13+10+10-9']
| true
| 7.61
| 0.953
| 8.04
| 3.09
|
[3, 6, 6, 12]
|
['6×3+12-6', '12×6/(6-3)', '6×6/3+12', '12×3-6-6', '(6+6)×3-12', '(3-6/6)×12', '(12-6)×3+6', '(12/6+6)×3']
| true
| 7.09
| 0.956
| 7.77
| 2.97
|
[2, 6, 8, 13]
|
['6/2+13+8', '13×2+6-8', '(8-6)×13-2']
| true
| 11.21
| 0.866
| 11.1
| 5.13
|
[4, 5, 6, 9]
|
['9+6+5+4']
| true
| 18.8
| 0.757
| 16.88
| 7.22
|
[4, 4, 4, 9]
|
['(9-4)×4+4']
| true
| 8.61
| 0.881
| 8.62
| 4.06
|
[4, 10, 11, 12]
|
['12/4+11+10']
| true
| 25.19
| 0.631
| 17.86
| 9.14
|
[4, 5, 7, 7]
|
['7×5-7-4', '(7/7+5)×4']
| true
| 6.93
| 0.911
| 7.53
| 3.6
|
[4, 8, 12, 13]
|
['(12+4-13)×8', '12/4+13+8']
| true
| 7.67
| 0.919
| 8.32
| 3.73
|
[9, 9, 12, 12]
|
['12+12+9-9']
| true
| 5.38
| 0.984
| 5.88
| 2.12
|
[1, 1, 4, 4]
|
['(4+1+1)×4']
| true
| 6.11
| 0.946
| 6.4
| 2.45
|
[1, 3, 8, 9]
|
['9×8×1/3', '3/(9/8-1)']
| true
| 6.44
| 0.922
| 7.03
| 3.37
|
[3, 3, 4, 11]
|
['3×3+11+4', '(11-4)×3+3']
| true
| 11.13
| 0.885
| 11.18
| 5.5
|
[1, 2, 2, 9]
|
['(9+2+1)×2']
| true
| 10.95
| 0.824
| 10.15
| 4.57
|
[2, 5, 10, 10]
|
['(10+2)×10/5', '(10/5+10)×2']
| true
| 10.8
| 0.787
| 9.94
| 4.23
|
[10, 11, 11, 12]
|
['12+11+11-10']
| true
| 7.45
| 0.968
| 7.93
| 2.82
|
[3, 3, 7, 13]
|
['(7×3-13)×3']
| true
| 94.36
| 0.273
| 33.82
| 19.64
|
[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
|
[6, 8, 11, 12]
|
['12×6/(11-8)']
| true
| 14.04
| 0.778
| 12.57
| 5.81
|
[4, 6, 12, 12]
|
['(12-6-4)×12', '6×4+12-12', '12×6-12×4', '(4-12/6)×12']
| true
| 6.64
| 0.97
| 7.12
| 2.47
|
[1, 2, 8, 8]
|
['(8×2+8)×1', '(8/2-1)×8']
| true
| 6.45
| 0.962
| 7.02
| 2.73
|
[2, 7, 8, 9]
|
['(9+7)×2-8']
| true
| 76.32
| 0.387
| 19.6
| 12.12
|
[1, 4, 7, 13]
|
['(13-7)×4×1', '(13+7+4)×1']
| true
| 6.64
| 0.967
| 7.28
| 2.93
|
[1, 2, 7, 10]
|
['(7×2+10)×1']
| true
| 7.44
| 0.907
| 8.05
| 4.11
|
[3, 8, 8, 8]
|
['8×3+8-8', '(8×8+8)/3']
| true
| 5.76
| 0.976
| 6.13
| 2.15
|
[3, 5, 10, 10]
|
['(10-10/5)×3']
| true
| 27.46
| 0.54
| 13.48
| 7.51
|
[1, 3, 3, 10]
|
['(10+1-3)×3', '(10-1)×3-3']
| true
| 9.05
| 0.901
| 9.22
| 4.14
|
[4, 8, 8, 11]
|
['(11×8+8)/4']
| true
| 94.44
| 0.298
| 24.47
| 14.91
|
[3, 3, 11, 12]
|
['(11-3×3)×12', '3/3+12+11', '11×3+3-12']
| true
| 5.69
| 0.948
| 6.13
| 2.23
|
[1, 4, 8, 12]
|
['12×8×1/4', '(8+1)×4-12', '(12+8+4)×1', '12/(1-4/8)']
| true
| 5.92
| 0.976
| 6.31
| 2.2
|
[2, 8, 12, 13]
|
['(13+2-12)×8']
| true
| 7.68
| 0.898
| 7.95
| 3.55
|
[5, 9, 10, 11]
|
['9×5-11-10']
| true
| 49.16
| 0.426
| 29.23
| 14.1
|
[3, 3, 4, 13]
|
['(13-4)×3-3']
| true
| 15.11
| 0.765
| 12.74
| 7.08
|
[3, 7, 12, 13]
|
['(13-7)×12/3', '12/3+13+7', '(13+7-12)×3']
| true
| 7.19
| 0.939
| 7.68
| 3.11
|
[8, 9, 9, 12]
|
['9×8/(12-9)']
| true
| 11.79
| 0.826
| 11.1
| 4.78
|
[9, 12, 12, 12]
|
['(12-9)×12-12']
| true
| 7.35
| 0.816
| 7.21
| 3.72
|
[2, 2, 6, 11]
|
['(11-2)×2+6']
| true
| 26.25
| 0.622
| 19.02
| 8.98
|
[1, 1, 2, 13]
|
['13×2-1-1', '(1+1)×13-2', '(13-1)×2×1']
| true
| 5.19
| 0.988
| 5.51
| 1.79
|
[5, 8, 12, 12]
|
['(8-5)×12-12']
| true
| 7.86
| 0.753
| 7.04
| 3.77
|
[1, 5, 6, 9]
|
['(9-5)×6×1']
| true
| 7.22
| 0.922
| 7.71
| 3.55
|
[1, 3, 5, 8]
|
['(5+1-3)×8', '5×3+8+1', '(8-3)×5-1']
| true
| 6.59
| 0.953
| 7.28
| 2.99
|
[1, 4, 6, 7]
|
['(7+1-4)×6', '4/(7/6-1)']
| true
| 8.83
| 0.872
| 9.07
| 4.68
|
[3, 9, 10, 11]
|
['9/3+11+10', '(10+9-11)×3']
| true
| 7.29
| 0.93
| 7.68
| 2.95
|
[2, 4, 10, 11]
|
['11×4-10×2', '(11-10/2)×4', '(11-4)×2+10']
| true
| 15.73
| 0.796
| 14.41
| 6.58
|
[10, 10, 11, 12]
|
['10/10+12+11']
| true
| 6.22
| 0.935
| 6.61
| 2.36
|
[3, 6, 6, 13]
|
['(13-6-3)×6', '(13×6-6)/3']
| true
| 15.47
| 0.727
| 12.46
| 6.72
|
[1, 4, 10, 12]
|
['12×10/(4+1)', '(10-1)×4-12', '4/(1-10/12)']
| true
| 17.15
| 0.721
| 13.15
| 6.88
|
[5, 5, 5, 9]
|
['9+5+5+5']
| true
| 10.32
| 0.875
| 10.07
| 4.21
|
[5, 6, 10, 13]
|
['13+10+6-5']
| true
| 8.63
| 0.912
| 9.35
| 4.41
|
[2, 2, 7, 10]
|
['(10/2+7)×2']
| true
| 32.81
| 0.532
| 17.19
| 9.45
|
[2, 2, 3, 3]
|
['(3+3)×(2+2)', '(3+3)×2×2', '(3×2+2)×3']
| true
| 8.01
| 0.934
| 8.35
| 3.24
|
[5, 6, 12, 13]
|
['(13-6-5)×12', '13+12+5-6', '(12+5-13)×6']
| true
| 6.1
| 0.975
| 6.51
| 2.17
|
[6, 10, 12, 12]
|
['12/6+12+10', '(12-10)×6+12']
| true
| 10.08
| 0.887
| 10.37
| 4.61
|
[2, 4, 6, 7]
|
['(6+2)×(7-4)', '7×4+2-6', '(6-2)×7-4', '7×2+6+4', '6/(2-7/4)']
| true
| 10.58
| 0.899
| 10.66
| 4.37
|
[2, 7, 8, 8]
|
['(8+2-7)×8', '(7-8/2)×8', '(8×7-8)/2']
| true
| 7.78
| 0.926
| 8.16
| 3.19
|
[4, 4, 5, 6]
|
['(5-4/4)×6', '(5-4)×6×4']
| true
| 6.3
| 0.958
| 6.62
| 2.25
|
[3, 4, 8, 10]
|
['(10-4-3)×8', '(10-8)×4×3', '(10+8)×4/3', '(10-8/4)×3']
| true
| 7.4
| 0.935
| 7.76
| 3.21
|
[3, 3, 10, 13]
|
['3/3+13+10']
| true
| 7.65
| 0.893
| 7.92
| 3.61
|
[12, 13, 13, 13]
|
['13+12-13/13', '(13+13)×12/13']
| true
| 6.49
| 0.947
| 6.86
| 2.44
|
[3, 3, 5, 13]
|
['13+5+3+3', '13×3-5×3']
| true
| 11.86
| 0.852
| 11.62
| 4.87
|
[7, 9, 10, 12]
|
['12+10+9-7']
| true
| 7.39
| 0.941
| 7.95
| 3.25
|
[2, 3, 8, 12]
|
['(12-8)×3×2', '(8-3×2)×12', '8×3/2+12', '(8-2)×12/3', '(12-8/2)×3', '(12/2-3)×8', '(8×3-12)×2', '(12/3+8)×2']
| true
| 9.41
| 0.932
| 9.93
| 3.89
|
[3, 3, 3, 12]
|
['(3+3)×12/3', '3×3+12+3', '(3-3/3)×12', '(12-3)×3-3']
| true
| 6.17
| 0.97
| 6.66
| 2.46
|
[2, 3, 4, 11]
|
['(11-3-2)×4', '(11+4-3)×2', '(11+3)×2-4']
| true
| 9.35
| 0.88
| 9.49
| 4.23
|
[10, 10, 12, 13]
|
['13+12-10/10']
| true
| 7.21
| 0.923
| 7.49
| 2.61
|
[2, 3, 4, 5]
|
['(5+3-2)×4', '(5+4+3)×2']
| true
| 11.5
| 0.844
| 11.11
| 5.56
|
[2, 3, 4, 12]
|
['(3×2-4)×12', '(12-3×2)×4', '(12+4)×3/2', '(4+2)×12/3', '(4-3)×12×2', '(12/3+2)×4']
| true
| 7.6
| 0.944
| 8.1
| 3.28
|
[2, 4, 10, 10]
|
['(4/10+2)×10']
| true
| 116.36
| 0.26
| 30.52
| 19.71
|
[1, 4, 5, 7]
|
['7×4+1-5', '(5-1)×7-4']
| true
| 12.8
| 0.879
| 12.72
| 5.32
|
[1, 7, 9, 13]
|
['(7-1)×(13-9)', '(13-1)×(9-7)']
| true
| 7.35
| 0.939
| 7.63
| 2.61
|
[5, 5, 8, 12]
|
['(5+5-8)×12']
| true
| 12.1
| 0.794
| 11.1
| 5.12
|
[2, 4, 9, 12]
|
['(12-9)×4×2', '(9×2-12)×4', '12/(9/2-4)', '(9×4+12)/2', '(12/4+9)×2']
| true
| 11.52
| 0.873
| 11.48
| 4.9
|
[1, 1, 4, 7]
|
['(7-1)×4×1', '(7+1)×(4-1)']
| true
| 5.59
| 0.972
| 5.94
| 2.07
|
[1, 4, 7, 8]
|
['8×4-7-1', '(7+1)×4-8', '(7-1)×(8-4)', '(7-4)×8×1']
| true
| 6.25
| 0.966
| 6.78
| 2.73
|
[1, 3, 5, 7]
|
['(7+5)×(3-1)', '(5+1)×(7-3)']
| true
| 9.32
| 0.895
| 9.53
| 4.12
|
[4, 5, 9, 13]
|
['5×4+13-9', '(13-9)×5+4']
| true
| 9.01
| 0.893
| 9.68
| 4.99
|
[1, 6, 8, 12]
|
['(12-8)×6×1', '(8-6)×12×1', '(12/6+1)×8']
| true
| 5.4
| 0.971
| 5.79
| 2
|
[1, 1, 1, 12]
|
['(1+1)×12×1']
| true
| 4.82
| 0.993
| 5.15
| 1.6
|
[1, 8, 8, 10]
|
['(10+1-8)×8']
| true
| 7.11
| 0.923
| 7.5
| 3.03
|
[4, 7, 9, 12]
|
['(7+4-9)×12', '12+9+7-4', '12×4/(9-7)']
| true
| 8.23
| 0.947
| 8.7
| 3.31
|
[4, 5, 8, 10]
|
['(8+4)×10/5', '(4-8/5)×10', '(8-10/5)×4', '(8/10+4)×5']
| true
| 14.33
| 0.756
| 11.89
| 6.13
|
[2, 4, 6, 12]
|
['12+6+4+2', '(4+2)×6-12', '(4×2-6)×12', '(12-4×2)×6', '(4-2)×6+12', '6×4/2+12', '(6+2)×12/4', '(12-4)×6/2', '(6×4-12)×2', '12/(2-6/4)']
| true
| 10.44
| 0.944
| 11.21
| 4.84
|
[5, 8, 8, 8]
|
['8×5-8-8', '8×8-8×5']
| true
| 11.38
| 0.809
| 10.9
| 5.46
|
[2, 5, 7, 13]
|
['13×2+5-7', '7×5+2-13', '(7×5+13)/2', '(7-5)×13-2']
| true
| 12.31
| 0.84
| 12.05
| 5.81
|
[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
|
[2, 4, 11, 12]
|
['(11-2)×4-12']
| true
| 66.98
| 0.399
| 25.01
| 14.65
|
[3, 9, 12, 13]
|
['(12+9-13)×3', '(13-9)×3+12']
| true
| 8.15
| 0.896
| 8.63
| 4.01
|
[9, 11, 12, 12]
|
['12×11-12×9']
| true
| 21.38
| 0.593
| 11.02
| 6.56
|
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