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
|
---|---|---|---|---|---|---|
[1, 2, 8, 13]
|
['13+8+2+1']
| true | 10.44 | 0.916 | 10.66 | 4.77 |
[3, 9, 9, 9]
|
['9+9+9-3', '(9×9-9)/3', '(9-9/9)×3']
| true | 6.12 | 0.976 | 6.56 | 2.19 |
[9, 10, 12, 12]
|
['(12+12)×(10-9)']
| true | 5.96 | 0.959 | 6.29 | 2.05 |
[1, 2, 13, 13]
|
['(13+13-2)×1']
| true | 6.25 | 0.973 | 6.96 | 2.69 |
[2, 9, 10, 12]
|
['(10-2)×(12-9)', '(10-9)×12×2']
| true | 7.28 | 0.941 | 7.63 | 2.89 |
[1, 3, 9, 11]
|
['11+9+3+1', '(11×3-9)×1', '(11/3-1)×9']
| true | 7.19 | 0.951 | 7.69 | 3.09 |
[2, 4, 7, 7]
|
['(7+7)×2-4']
| true | 35.74 | 0.512 | 17.72 | 9.75 |
[2, 3, 10, 10]
|
['(10-3)×2+10']
| true | 19.95 | 0.687 | 14.88 | 7.68 |
[4, 4, 6, 11]
|
['(11-6)×4+4']
| true | 8.94 | 0.864 | 8.91 | 4.57 |
[2, 10, 11, 13]
|
['(10+2)×(13-11)', '(13+10-11)×2']
| true | 8.6 | 0.897 | 8.66 | 3.42 |
[3, 5, 5, 7]
|
['(7+5)×(5-3)', '(5/5+7)×3']
| true | 7.63 | 0.901 | 7.86 | 3.17 |
[6, 7, 9, 9]
|
['7×6-9-9', '(9+7)×9/6', '(9-7)×9+6']
| true | 12.04 | 0.806 | 11.2 | 6.1 |
[3, 7, 8, 13]
|
['(13-7-3)×8', '13×3-8-7']
| true | 10.01 | 0.844 | 9.93 | 5.13 |
[2, 6, 8, 12]
|
['12+8+6-2', '12×8/(6-2)', '(8×2-12)×6', '(8-2)×6-12', '(12-6)×8/2', '(6-8/2)×12', '8×6-12×2']
| true | 10.55 | 0.942 | 11.28 | 4.55 |
[1, 3, 5, 10]
|
['10×3-5-1', '5×3+10-1']
| true | 9.18 | 0.932 | 9.66 | 3.84 |
[4, 4, 6, 9]
|
['(4+4)×(9-6)', '9×4×4/6']
| true | 12.94 | 0.768 | 11.01 | 5.86 |
[6, 7, 10, 12]
|
['12×7/6+10', '12×7-10×6', '12×6/(10-7)']
| true | 10.92 | 0.851 | 10.85 | 4.89 |
[5, 7, 7, 11]
|
['(5-11/7)×7']
| true | 90.39 | 0.275 | 26.22 | 13.42 |
[2, 6, 7, 9]
|
['9+7+6+2', '(9-7)×6×2', '(9+2-7)×6', '7×6-9×2']
| true | 7.34 | 0.961 | 7.85 | 3.01 |
[10, 10, 10, 12]
|
['(10+10)×12/10']
| true | 23.18 | 0.597 | 11.12 | 7.61 |
[1, 3, 3, 4]
|
['(4+3+1)×3', '(3-1)×4×3', '(3+3)×4×1']
| true | 5.62 | 0.976 | 5.87 | 1.77 |
[4, 5, 10, 11]
|
['10×4-11-5', '(11+5-10)×4']
| true | 8.06 | 0.881 | 8.5 | 4.35 |
[5, 8, 8, 9]
|
['9×8/(8-5)', '(9-5)×8-8']
| true | 7.87 | 0.872 | 8.18 | 3.96 |
[3, 5, 8, 8]
|
['8+8+5+3', '(5-3)×8+8']
| true | 8.26 | 0.923 | 8.73 | 3.95 |
[2, 3, 8, 9]
|
['(9-3×2)×8', '(9-3)×8/2']
| true | 14.34 | 0.809 | 13.17 | 6.4 |
[5, 8, 11, 12]
|
['(8+5-11)×12', '(11+5)×12/8', '(11-5)×(12-8)']
| true | 10.6 | 0.871 | 10.85 | 4.37 |
[3, 6, 8, 12]
|
['(12-6-3)×8', '(8-12/3)×6']
| true | 15.52 | 0.802 | 14.12 | 6.22 |
[1, 5, 11, 12]
|
['(11-1)×12/5']
| true | 15.54 | 0.712 | 11.75 | 6.26 |
[3, 3, 5, 12]
|
['5×3+12-3', '(12-5)×3+3']
| true | 11.66 | 0.873 | 11.77 | 5.3 |
[7, 7, 7, 12]
|
['(7+7)×12/7']
| true | 16.45 | 0.645 | 9.38 | 6.22 |
[1, 6, 6, 11]
|
['11+6+6+1', '(11-6-1)×6', '6×6-11-1']
| true | 5.75 | 0.983 | 6.23 | 2.24 |
[4, 6, 8, 9]
|
['(9-8)×6×4', '9×8/4+6', '(4-8/6)×9']
| true | 8.02 | 0.935 | 8.51 | 3.48 |
[3, 6, 9, 9]
|
['9×3+6-9', '(9-6)×9-3', '(9/9+3)×6']
| true | 7.08 | 0.94 | 7.65 | 3.29 |
[1, 2, 9, 12]
|
['12+9+2+1']
| true | 7.85 | 0.927 | 8.43 | 3.84 |
[2, 9, 9, 12]
|
['12×2+9-9', '12/2+9+9', '(9+9)×2-12']
| true | 5.36 | 0.974 | 5.79 | 2.01 |
[4, 8, 10, 11]
|
['(10+4-11)×8']
| true | 7.79 | 0.908 | 8.12 | 3.49 |
[1, 6, 8, 9]
|
['9+8+6+1', '(9-6)×8×1', '8/(1-6/9)']
| true | 6.14 | 0.983 | 6.57 | 2.35 |
[5, 5, 11, 12]
|
['5×5+11-12', '5/5+12+11', '(12-5)×5-11']
| true | 5.53 | 0.964 | 5.89 | 1.9 |
[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 |
[3, 9, 9, 13]
|
['(9-3)×(13-9)']
| true | 17.18 | 0.675 | 12.58 | 6.35 |
[6, 6, 6, 6]
|
['6+6+6+6', '6×6-6-6']
| true | 4.57 | 0.995 | 4.81 | 1.47 |
[1, 6, 9, 13]
|
['(13-9)×6×1']
| true | 7.97 | 0.908 | 8.36 | 4.08 |
[7, 8, 9, 10]
|
['9×8/(10-7)']
| true | 12.36 | 0.796 | 11.28 | 5.51 |
[5, 6, 10, 11]
|
['(10+5-11)×6', '(11-5)×(10-6)']
| true | 7.91 | 0.905 | 8.27 | 3.58 |
[2, 5, 5, 9]
|
['5×2+9+5', '(5-2)×5+9']
| true | 16.2 | 0.785 | 14.74 | 6.1 |
[6, 6, 9, 11]
|
['(6+6)×(11-9)', '(9+6-11)×6']
| true | 8.79 | 0.886 | 9.14 | 4.16 |
[4, 5, 5, 9]
|
['5×4+9-5', '(9-5)×5+4']
| true | 9.04 | 0.915 | 9.42 | 3.93 |
[5, 10, 13, 13]
|
['10×5-13-13', '13+13-10/5', '(13-5)×(13-10)']
| true | 7.58 | 0.927 | 8.01 | 2.78 |
[1, 6, 12, 12]
|
['12×12×1/6', '12/(1-6/12)']
| true | 6.06 | 0.945 | 6.44 | 2.43 |
[3, 9, 9, 12]
|
['9×3+9-12', '9/3+12+9', '(3-9/9)×12', '(12-9)×9-3']
| true | 6.57 | 0.952 | 7.02 | 2.65 |
[1, 6, 7, 9]
|
['(7+1)×(9-6)']
| true | 11.67 | 0.844 | 11.36 | 4.68 |
[4, 4, 5, 7]
|
['(7+4-5)×4']
| true | 9.96 | 0.852 | 9.63 | 4.6 |
[3, 3, 3, 11]
|
['11×3-3×3']
| true | 12.39 | 0.786 | 11.1 | 5.61 |
[8, 9, 10, 12]
|
['(10+8)×12/9', '12×10/8+9']
| true | 51.92 | 0.431 | 23.06 | 14.34 |
[1, 2, 5, 7]
|
['(7+5)×2×1', '(7+1)×(5-2)', '(7-2)×5-1']
| true | 6.84 | 0.952 | 7.17 | 2.64 |
[2, 8, 10, 10]
|
['8/2+10+10', '(10+2)×(10-8)', '(10+10-8)×2', '(10/10+2)×8']
| true | 6.01 | 0.955 | 6.36 | 2.11 |
[2, 7, 11, 12]
|
['(11-7-2)×12', '(11-7)×12/2', '12/2+11+7', '(11+7)×2-12']
| true | 8.35 | 0.914 | 8.69 | 3.48 |
[2, 3, 4, 9]
|
['9×4×2/3', '(9+3)×(4-2)', '(9+3)×4/2']
| true | 11.29 | 0.884 | 11.35 | 4.87 |
[8, 8, 10, 13]
|
['8/8+13+10', '13×8-10×8']
| true | 7.02 | 0.906 | 7.45 | 3.11 |
[9, 10, 12, 13]
|
['13+12+9-10']
| true | 8.3 | 0.935 | 8.87 | 3.64 |
[4, 6, 13, 13]
|
['6×4+13-13', '13+13+4-6']
| true | 5.26 | 0.988 | 5.67 | 1.8 |
[3, 4, 4, 10]
|
['(10-3)×4-4']
| true | 15.03 | 0.769 | 12.54 | 6.93 |
[6, 8, 10, 11]
|
['(11-8)×10-6']
| true | 21.39 | 0.639 | 14.37 | 7.76 |
[1, 2, 2, 4]
|
['(2+1)×4×2']
| true | 7.6 | 0.958 | 7.94 | 2.47 |
[2, 2, 12, 12]
|
['12+12+2-2', '(12×2-12)×2']
| true | 5.77 | 0.986 | 6.27 | 2.24 |
[4, 9, 9, 10]
|
['10+9+9-4']
| true | 10.03 | 0.899 | 10.28 | 4.17 |
[3, 5, 6, 8]
|
['8×6/(5-3)', '(5-6/3)×8', '(6-5)×8×3']
| true | 7.43 | 0.938 | 7.96 | 3.23 |
[4, 5, 6, 7]
|
['(7+5)×(6-4)', '(7+5-6)×4']
| true | 8.81 | 0.897 | 9.2 | 3.97 |
[6, 6, 9, 13]
|
['13×6-9×6']
| true | 31.03 | 0.538 | 14.15 | 9.07 |
[2, 9, 10, 13]
|
['10×2+13-9', '(13+9-10)×2']
| true | 8.87 | 0.901 | 9.36 | 4.17 |
[2, 2, 6, 8]
|
['(8-2-2)×6', '(8-2×2)×6', '8×2+6+2', '(6+2)×2+8', '(8+6-2)×2', '(8-2)×(6-2)']
| true | 9.41 | 0.955 | 9.83 | 3.55 |
[1, 4, 8, 13]
|
['13+8+4-1', '(13+1-8)×4', '(13-1)×8/4']
| true | 6.81 | 0.974 | 7.2 | 2.49 |
[4, 9, 11, 12]
|
['(9+4-11)×12', '12×11/4-9', '12×4/(11-9)']
| true | 10.25 | 0.887 | 10.39 | 4.31 |
[2, 2, 2, 13]
|
['(13-2/2)×2', '(13-2)×2+2']
| true | 6.84 | 0.935 | 7.23 | 2.8 |
[5, 6, 9, 11]
|
['(11+9)×6/5', '(11+5)×9/6']
| true | 75.91 | 0.334 | 27.08 | 15.22 |
[4, 6, 12, 13]
|
['(13-12)×6×4']
| true | 6.4 | 0.938 | 6.88 | 2.91 |
[10, 11, 11, 13]
|
['(13+11)×(11-10)', '11/11+13+10']
| true | 6.51 | 0.948 | 6.93 | 2.65 |
[5, 7, 10, 12]
|
['(7+5)×(12-10)', '(7+5-10)×12', '12+10+7-5']
| true | 6.76 | 0.968 | 7.25 | 2.52 |
[5, 7, 11, 13]
|
['(7+5)×(13-11)']
| true | 13.48 | 0.709 | 10.38 | 5.51 |
[1, 4, 9, 13]
|
['9×4+1-13']
| true | 28.97 | 0.61 | 19.64 | 10.47 |
[2, 3, 4, 4]
|
['(3+2)×4+4', '4×4×3/2', '(4-2)×4×3']
| true | 9.43 | 0.942 | 9.83 | 3.62 |
[1, 11, 11, 13]
|
['(11+1)×(13-11)', '(13/11+1)×11']
| true | 10.33 | 0.875 | 10.27 | 4.31 |
[7, 8, 8, 9]
|
['(9-7)×8+8']
| true | 7.39 | 0.864 | 7.82 | 3.96 |
[5, 6, 8, 9]
|
['(8+5-9)×6', '(9+6)×8/5']
| true | 9.73 | 0.899 | 10.01 | 4.44 |
[5, 6, 7, 13]
|
['6×5+7-13', '(13+7)×6/5', '7×6-13-5', '(13-7)×5-6']
| true | 10.72 | 0.862 | 10.82 | 5.55 |
[1, 1, 3, 5]
|
['(5+1)×(3+1)']
| true | 6.92 | 0.954 | 7.24 | 2.32 |
[1, 2, 3, 10]
|
['10×2+3+1', '(10-2)×3×1', '(10+3-1)×2', '(10+2)×(3-1)']
| true | 6.17 | 0.983 | 6.49 | 1.99 |
[1, 2, 2, 5]
|
['(5+1)×(2+2)', '(5+1)×2×2']
| true | 7.78 | 0.947 | 8.07 | 2.85 |
[3, 6, 7, 13]
|
['6×3+13-7', '(13-7)×3+6']
| true | 11.65 | 0.824 | 10.94 | 6.02 |
[3, 5, 7, 10]
|
['(5+3)×(10-7)', '(5-3)×7+10', '(10+5-7)×3']
| true | 11.37 | 0.846 | 11.02 | 5.28 |
[2, 3, 6, 11]
|
['(11-3)×6/2', '(11-6/2)×3', '11×2+6/3', '11×6/3+2']
| true | 9.84 | 0.901 | 10.09 | 4.48 |
[1, 3, 10, 12]
|
['12+10+3-1']
| true | 7.13 | 0.965 | 7.6 | 2.74 |
[1, 5, 5, 13]
|
['13+5+5+1']
| true | 8.31 | 0.93 | 8.49 | 3.27 |
[2, 6, 6, 9]
|
['(6+2)×(9-6)', '(9+6)×2-6', '(9×6-6)/2']
| true | 17.45 | 0.725 | 13.7 | 6.89 |
[4, 4, 4, 10]
|
['10×4-4×4', '(4×4-10)×4']
| true | 15.27 | 0.765 | 13.03 | 6.5 |
[1, 1, 3, 9]
|
['(9+3)×(1+1)', '(9-1)×3×1']
| true | 5.19 | 0.97 | 5.53 | 1.84 |
[3, 3, 9, 9]
|
['9+9+3+3', '9×3-9/3', '(3-3/9)×9', '9×9/3-3']
| true | 7.43 | 0.959 | 7.78 | 2.79 |
[8, 8, 8, 11]
|
['11×8-8×8']
| true | 18.2 | 0.632 | 10.83 | 6.35 |
[3, 4, 10, 10]
|
['10×3+4-10']
| true | 15.18 | 0.755 | 13.27 | 6.28 |
[5, 8, 8, 13]
|
['13+8+8-5']
| true | 8.14 | 0.925 | 8.5 | 3.7 |
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