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
|
|---|---|---|---|---|---|---|---|
[
6,
8,
10,
11
] |
[
"(11-8)×10-6"
] | true | 21.39 | 0.639 | 14.37 | 7.76 | 1,229 |
[
3,
3,
9,
12
] |
[
"12×3-9-3",
"(9+3)×3-12",
"(9-3)×12/3"
] | true | 11.16 | 0.873 | 11.27 | 5.07 | 708 |
[
2,
8,
12,
12
] |
[
"(12-8-2)×12",
"12×12/(8-2)",
"(12-8)×12/2",
"(8-12/2)×12",
"12/(2-12/8)",
"(12/12+2)×8"
] | true | 7.01 | 0.953 | 7.36 | 2.61 | 629 |
[
1,
4,
4,
8
] |
[
"(8-1)×4-4",
"(4×4+8)×1"
] | true | 10.58 | 0.899 | 10.77 | 5.54 | 183 |
[
1,
3,
4,
13
] |
[
"(13-4-1)×3",
"4×3+13-1"
] | true | 8.31 | 0.944 | 8.87 | 3.71 | 137 |
[
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 | 807 |
[
1,
2,
5,
5
] |
[
"5×5+1-2"
] | true | 6.72 | 0.951 | 7.25 | 2.96 | 80 |
[
5,
6,
7,
7
] |
[
"(5-7/7)×6"
] | true | 6.82 | 0.874 | 6.95 | 2.8 | 1,107 |
[
4,
7,
8,
8
] |
[
"(7+4-8)×8",
"8×7-8×4",
"(7-8/8)×4"
] | true | 6.99 | 0.943 | 7.41 | 2.6 | 1,015 |
[
2,
5,
7,
9
] |
[
"7×5-9-2"
] | true | 35.81 | 0.532 | 24.02 | 10.62 | 541 |
[
2,
8,
8,
13
] |
[
"(13-8-2)×8",
"(8×2-13)×8",
"(13-8/8)×2"
] | true | 6.58 | 0.93 | 7.02 | 2.65 | 617 |
[
2,
4,
4,
11
] |
[
"(4/4+11)×2",
"(11×4+4)/2"
] | true | 7.92 | 0.845 | 7.85 | 3.57 | 480 |
[
1,
3,
8,
13
] |
[
"(13+8+3)×1"
] | true | 10.99 | 0.905 | 11.34 | 5.11 | 165 |
[
1,
5,
8,
11
] |
[
"(8-1)×5-11",
"(11+8+5)×1"
] | true | 12.26 | 0.894 | 12.59 | 5.57 | 248 |
[
1,
7,
12,
13
] |
[
"(13+1)×12/7"
] | true | 29.06 | 0.558 | 15.69 | 9.56 | 307 |
[
4,
5,
11,
11
] |
[
"(11-4)×5-11",
"(11/11+5)×4"
] | true | 6.83 | 0.874 | 7.33 | 3.71 | 978 |
[
2,
8,
9,
13
] |
[
"(8-2)×(13-9)",
"(13+8-9)×2",
"9/(2-13/8)"
] | true | 8.48 | 0.9 | 8.65 | 3.72 | 622 |
[
1,
11,
11,
12
] |
[
"(11/11+1)×12"
] | true | 5.95 | 0.936 | 6.19 | 2.22 | 334 |
[
1,
2,
7,
8
] |
[
"8×2+7+1",
"(7+1)×2+8",
"(7-1)×8/2"
] | true | 8.73 | 0.946 | 9.22 | 3.59 | 97 |
[
2,
9,
9,
13
] |
[
"(13-9/9)×2"
] | true | 7.16 | 0.887 | 7.25 | 2.65 | 634 |
[
3,
5,
8,
8
] |
[
"8+8+5+3",
"(5-3)×8+8"
] | true | 8.26 | 0.923 | 8.73 | 3.95 | 783 |
[
1,
2,
8,
8
] |
[
"(8×2+8)×1",
"(8/2-1)×8"
] | true | 6.45 | 0.962 | 7.02 | 2.73 | 102 |
[
4,
5,
8,
13
] |
[
"8×4+5-13",
"(13-5)×4-8"
] | true | 13.51 | 0.779 | 11.91 | 6.17 | 969 |
[
5,
6,
6,
6
] |
[
"(5-6/6)×6"
] | true | 7.93 | 0.875 | 8.13 | 3.62 | 1,101 |
[
6,
7,
11,
13
] |
[
"(13+11)×(7-6)"
] | true | 7.6 | 0.901 | 8.01 | 3.52 | 1,216 |
[
3,
7,
9,
10
] |
[
"9×3+7-10",
"(10+7-9)×3",
"(10-7)×9-3"
] | true | 7.68 | 0.92 | 8.25 | 3.53 | 846 |
[
6,
8,
11,
12
] |
[
"12×6/(11-8)"
] | true | 14.04 | 0.778 | 12.57 | 5.81 | 1,233 |
[
1,
7,
9,
12
] |
[
"(7+1)×(12-9)",
"(9-7)×12×1"
] | true | 5.71 | 0.962 | 6.11 | 2.22 | 302 |
[
5,
8,
8,
8
] |
[
"8×5-8-8",
"8×8-8×5"
] | true | 11.38 | 0.809 | 10.9 | 5.46 | 1,150 |
[
5,
6,
9,
10
] |
[
"(9+5-10)×6",
"10×9/5+6"
] | true | 8.36 | 0.908 | 8.87 | 3.84 | 1,118 |
[
2,
2,
6,
13
] |
[
"(13+2)×2-6"
] | true | 74.75 | 0.334 | 31.47 | 17.1 | 388 |
[
1,
5,
6,
10
] |
[
"(5+1)×(10-6)",
"(10-5-1)×6"
] | true | 7.95 | 0.917 | 8.25 | 3.27 | 235 |
[
5,
7,
8,
8
] |
[
"(7-5)×8+8",
"(8+7)×8/5"
] | true | 9 | 0.826 | 8.73 | 4.81 | 1,135 |
[
4,
4,
5,
7
] |
[
"(7+4-5)×4"
] | true | 9.96 | 0.852 | 9.63 | 4.6 | 910 |
[
1,
7,
10,
13
] |
[
"(7+1)×(13-10)"
] | true | 10.91 | 0.835 | 10.49 | 4.66 | 305 |
[
4,
6,
6,
10
] |
[
"(10+6)×6/4"
] | true | 58.72 | 0.4 | 23.53 | 13.1 | 988 |
[
5,
6,
6,
12
] |
[
"6×5+6-12",
"12×5-6×6",
"(12-6)×5-6"
] | true | 15.07 | 0.808 | 13.93 | 6.33 | 1,106 |
[
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 | 249 |
[
4,
8,
10,
12
] |
[
"(8+4)×(12-10)",
"(8+4-10)×12",
"8/4+12+10",
"(10-4)×(12-8)",
"12×4/(10-8)",
"(10+8-12)×4"
] | true | 7.27 | 0.958 | 7.82 | 2.92 | 1,048 |
[
4,
5,
6,
9
] |
[
"9+6+5+4"
] | true | 18.8 | 0.757 | 16.88 | 7.22 | 952 |
[
1,
2,
4,
5
] |
[
"(5+2-1)×4",
"(4+2)×(5-1)"
] | true | 9.09 | 0.905 | 9.44 | 4.21 | 71 |
[
1,
2,
6,
12
] |
[
"12×6/(2+1)",
"(6×2+12)×1",
"(6/2-1)×12"
] | true | 6.06 | 0.969 | 6.44 | 2.26 | 94 |
[
3,
3,
8,
9
] |
[
"(9-3-3)×8",
"(8+3)×3-9",
"(8-3)×3+9"
] | true | 8.07 | 0.886 | 8.42 | 3.9 | 701 |
[
1,
1,
5,
8
] |
[
"(5-1-1)×8"
] | true | 5.02 | 0.965 | 5.39 | 1.83 | 33 |
[
4,
6,
6,
7
] |
[
"(7-6)×6×4",
"(7-4)×6+6",
"(7-6/6)×4"
] | true | 5.86 | 0.966 | 6.23 | 2.09 | 985 |
[
2,
3,
7,
8
] |
[
"(7+2)×8/3",
"(8-2)×(7-3)",
"(8+7-3)×2",
"8/(7/3-2)"
] | true | 14.29 | 0.805 | 13.14 | 5.77 | 448 |
[
2,
3,
6,
12
] |
[
"3×2+12+6",
"6×3×2-12",
"12×3/2+6",
"12×3-6×2",
"(12+2-6)×3",
"(6-2)×3+12",
"(12-2)×3-6",
"6×3+12/2",
"(12+3)×2-6",
"(12-3)×2+6"
] | true | 12.65 | 0.914 | 13.08 | 5.34 | 445 |
[
4,
8,
9,
11
] |
[
"(8+4)×(11-9)",
"11+9+8-4",
"(9+8-11)×4"
] | true | 8.9 | 0.929 | 9.39 | 3.94 | 1,043 |
[
6,
8,
8,
12
] |
[
"12×8/6+8",
"(8+8-12)×6"
] | true | 11.41 | 0.882 | 11.61 | 5.06 | 1,223 |
[
3,
8,
10,
11
] |
[
"(11-10)×8×3"
] | true | 5.95 | 0.946 | 6.33 | 2.37 | 869 |
[
1,
2,
4,
11
] |
[
"(11+1)×(4-2)",
"(11+1)×4/2",
"(11-1)×2+4"
] | true | 7.77 | 0.92 | 8.01 | 2.8 | 77 |
[
1,
2,
5,
9
] |
[
"(2+1)×5+9",
"9×2+5+1",
"(9-1)×(5-2)"
] | true | 8.07 | 0.952 | 8.5 | 3.07 | 84 |
[
3,
3,
6,
11
] |
[
"11×3-6-3",
"(11+3-6)×3",
"(11-3)×(6-3)"
] | true | 9.58 | 0.903 | 9.94 | 4.55 | 691 |
[
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 | 82 |
[
2,
3,
8,
11
] |
[
"11+8+3+2",
"8×2+11-3",
"(11-2)×8/3",
"(11-3)×2+8"
] | true | 9.59 | 0.927 | 10.18 | 4.06 | 457 |
[
6,
8,
9,
12
] |
[
"9×8/6+12",
"(9+6-12)×8"
] | true | 11.91 | 0.865 | 11.86 | 5.1 | 1,227 |
[
4,
5,
5,
8
] |
[
"(4-5/5)×8"
] | true | 7.38 | 0.879 | 7.52 | 3 | 946 |
[
2,
3,
5,
11
] |
[
"(11+5)×3/2",
"5×2+11+3",
"(11+2-5)×3",
"(11-3)×(5-2)",
"11×2+5-3",
"5×3+11-2",
"(5-3)×11+2"
] | true | 8.07 | 0.949 | 8.58 | 3.32 | 436 |
[
2,
10,
10,
12
] |
[
"(10+2)×(12-10)",
"12×2+10-10"
] | true | 5.89 | 0.972 | 6.29 | 2.3 | 644 |
[
5,
10,
11,
11
] |
[
"10/5+11+11"
] | true | 7.37 | 0.904 | 7.66 | 2.88 | 1,173 |
[
5,
5,
9,
9
] |
[
"5×5-9/9"
] | true | 7.46 | 0.852 | 7.73 | 3.52 | 1,089 |
[
2,
2,
11,
11
] |
[
"(2/11+2)×11"
] | true | 63.59 | 0.396 | 14.07 | 9.37 | 404 |
[
6,
6,
8,
9
] |
[
"(6+6-9)×8",
"(8-6)×9+6"
] | true | 8.59 | 0.903 | 8.93 | 3.61 | 1,188 |
[
3,
9,
12,
13
] |
[
"(12+9-13)×3",
"(13-9)×3+12"
] | true | 8.15 | 0.896 | 8.63 | 4.01 | 889 |
[
3,
6,
9,
13
] |
[
"6/3+13+9",
"(13+3)×9/6",
"13×3-9-6"
] | true | 21.26 | 0.697 | 17.59 | 7.87 | 824 |
[
1,
2,
8,
10
] |
[
"(8-1)×2+10"
] | true | 21.92 | 0.674 | 15.76 | 8.19 | 104 |
[
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 | 609 |
[
4,
4,
6,
9
] |
[
"(4+4)×(9-6)",
"9×4×4/6"
] | true | 12.94 | 0.768 | 11.01 | 5.86 | 917 |
[
6,
9,
10,
11
] |
[
"11+10+9-6",
"10×9-11×6"
] | true | 9.99 | 0.915 | 10.29 | 4.13 | 1,240 |
[
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 | 62 |
[
1,
6,
9,
10
] |
[
"10+9+6-1",
"(10/6+1)×9"
] | true | 9.62 | 0.922 | 9.93 | 3.85 | 281 |
[
4,
4,
10,
12
] |
[
"(10-4-4)×12",
"10×4-12-4",
"(12+4-10)×4"
] | true | 8.34 | 0.908 | 8.7 | 4 | 937 |
[
1,
5,
6,
13
] |
[
"(13+6+5)×1"
] | true | 10.01 | 0.905 | 10.37 | 4.8 | 238 |
[
1,
4,
12,
12
] |
[
"(4-1)×12-12",
"(12/4-1)×12"
] | true | 6.44 | 0.913 | 6.7 | 2.58 | 223 |
[
1,
3,
5,
13
] |
[
"(13-5)×3×1",
"(13-1)×(5-3)"
] | true | 7.02 | 0.944 | 7.44 | 2.72 | 145 |
[
7,
8,
9,
10
] |
[
"9×8/(10-7)"
] | true | 12.36 | 0.796 | 11.28 | 5.51 | 1,270 |
[
2,
2,
5,
5
] |
[
"5×5-2/2",
"(5+5+2)×2"
] | true | 6.73 | 0.934 | 7.1 | 2.49 | 373 |
[
1,
3,
3,
3
] |
[
"(3+3)×(3+1)",
"(3×3-1)×3"
] | true | 6.76 | 0.956 | 7.15 | 2.54 | 118 |
[
4,
7,
11,
11
] |
[
"(7-11/11)×4"
] | true | 7.41 | 0.864 | 7.6 | 3.55 | 1,029 |
[
1,
5,
8,
13
] |
[
"(13-8)×5-1"
] | true | 13.27 | 0.801 | 11.92 | 6.1 | 250 |
[
8,
9,
11,
12
] |
[
"12+11+9-8"
] | true | 6.87 | 0.951 | 7.55 | 3.1 | 1,310 |
[
1,
1,
2,
11
] |
[
"11×2+1+1",
"(1+1)×11+2",
"(11+1)×2×1"
] | true | 5.08 | 0.99 | 5.42 | 1.7 | 9 |
[
2,
3,
7,
9
] |
[
"(9+7)×3/2",
"(7-2)×3+9",
"(7×3-9)×2"
] | true | 31.21 | 0.581 | 18.73 | 10.41 | 449 |
[
1,
5,
9,
13
] |
[
"(5+1)×(13-9)"
] | true | 10.53 | 0.848 | 10.39 | 4.89 | 255 |
[
2,
7,
7,
8
] |
[
"8+7+7+2",
"(7/7+2)×8"
] | true | 5.65 | 0.969 | 5.98 | 2.02 | 593 |
[
2,
2,
7,
7
] |
[
"(7+7-2)×2"
] | true | 15.7 | 0.697 | 11.73 | 6.19 | 389 |
[
3,
5,
11,
11
] |
[
"11+11+5-3"
] | true | 6.58 | 0.947 | 7.12 | 2.99 | 796 |
[
11,
13,
13,
13
] |
[
"13+13+11-13"
] | true | 5.85 | 0.979 | 6.42 | 2.42 | 1,357 |
[
2,
5,
10,
13
] |
[
"10×5-13×2",
"13×2-10/5",
"13×10/5-2"
] | true | 13.14 | 0.822 | 12.66 | 6.05 | 557 |
[
2,
3,
9,
9
] |
[
"3×2+9+9",
"(9+2)×3-9",
"9×2+9-3",
"(9/3+9)×2"
] | true | 9.18 | 0.91 | 9.59 | 4.02 | 460 |
[
6,
12,
12,
12
] |
[
"12×12/(12-6)"
] | true | 14.38 | 0.759 | 12.07 | 6.97 | 1,254 |
[
1,
3,
5,
12
] |
[
"(5+1)×12/3",
"(12+1-5)×3",
"(5-1)×3+12",
"(5-3)×12×1"
] | true | 5.49 | 0.966 | 5.89 | 2.14 | 144 |
[
2,
4,
7,
8
] |
[
"(7×2-8)×4",
"8×7/2-4",
"7×4-8/2"
] | true | 19.54 | 0.763 | 17.24 | 7.47 | 501 |
[
7,
7,
7,
12
] |
[
"(7+7)×12/7"
] | true | 16.45 | 0.645 | 9.38 | 6.22 | 1,257 |
[
2,
5,
7,
7
] |
[
"5×2+7+7"
] | true | 11.04 | 0.823 | 10.5 | 4.71 | 539 |
[
1,
3,
12,
13
] |
[
"12×3+1-13",
"(13-1)×3-12"
] | true | 16.76 | 0.755 | 14.14 | 7.16 | 177 |
[
8,
9,
12,
12
] |
[
"(12+12)×(9-8)",
"(12-8)×9-12",
"12×12/9+8"
] | true | 5.8 | 0.963 | 6.28 | 2.23 | 1,312 |
[
3,
3,
7,
11
] |
[
"11+7+3+3",
"(3+3)×(11-7)"
] | true | 8.61 | 0.922 | 8.92 | 3.64 | 697 |
[
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 | 781 |
[
3,
9,
13,
13
] |
[
"(9-13/13)×3"
] | true | 7.59 | 0.864 | 7.74 | 3.37 | 890 |
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