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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