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
|
|---|---|---|---|---|---|---|---|
[
4,
5,
7,
9
] |
[
"7×4+5-9",
"(7-4)×5+9",
"9×4-7-5",
"(9-5)×7-4"
] | true | 10.47 | 0.87 | 10.71 | 5.18 | 959 |
[
7,
9,
10,
11
] |
[
"(10-7)×11-9",
"(11-9)×7+10"
] | true | 12.71 | 0.774 | 11.18 | 5.49 | 1,281 |
[
1,
6,
9,
13
] |
[
"(13-9)×6×1"
] | true | 7.97 | 0.908 | 8.36 | 4.08 | 283 |
[
3,
5,
11,
12
] |
[
"(11-5)×12/3"
] | true | 13.15 | 0.797 | 11.72 | 5.84 | 797 |
[
1,
5,
5,
6
] |
[
"6×5-5-1",
"(5+1)×5-6"
] | true | 7.6 | 0.951 | 8.16 | 3.15 | 225 |
[
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 | 26 |
[
2,
3,
5,
12
] |
[
"12/(3-5/2)"
] | true | 211.5 | 0.204 | 30.77 | 22.95 | 437 |
[
9,
9,
11,
13
] |
[
"13+11+9-9"
] | true | 5.82 | 0.969 | 6.39 | 2.41 | 1,323 |
[
1,
5,
5,
12
] |
[
"(5/5+1)×12"
] | true | 6.22 | 0.901 | 6.42 | 2.38 | 229 |
[
1,
1,
6,
12
] |
[
"(1+1)×6+12"
] | true | 6.95 | 0.909 | 7.51 | 3.43 | 37 |
[
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 | 749 |
[
4,
8,
9,
13
] |
[
"8/4+13+9",
"(13-9)×4+8"
] | true | 12.37 | 0.82 | 11.39 | 6.29 | 1,045 |
[
2,
3,
11,
13
] |
[
"(13+11)×(3-2)"
] | true | 6.6 | 0.918 | 7.06 | 2.91 | 469 |
[
5,
9,
10,
11
] |
[
"9×5-11-10"
] | true | 49.16 | 0.426 | 29.23 | 14.1 | 1,165 |
[
10,
10,
11,
12
] |
[
"10/10+12+11"
] | true | 6.22 | 0.935 | 6.61 | 2.36 | 1,338 |
[
3,
3,
6,
7
] |
[
"7×3+6-3",
"(6-3)×7+3",
"(7+3)×3-6"
] | true | 10.61 | 0.886 | 10.93 | 4.75 | 687 |
[
6,
11,
11,
12
] |
[
"12/6+11+11"
] | true | 10.16 | 0.866 | 10.02 | 4.05 | 1,251 |
[
2,
9,
11,
11
] |
[
"11×2+11-9",
"(11-9)×11+2"
] | true | 8.95 | 0.894 | 9.29 | 4.06 | 639 |
[
7,
8,
9,
13
] |
[
"(9+7-13)×8"
] | true | 10.33 | 0.839 | 9.99 | 4.35 | 1,272 |
[
5,
7,
9,
11
] |
[
"(7+5)×(11-9)"
] | true | 14.62 | 0.706 | 11.21 | 5.92 | 1,139 |
[
6,
9,
9,
10
] |
[
"10×9/6+9"
] | true | 76.54 | 0.328 | 34.74 | 19.4 | 1,237 |
[
3,
5,
13,
13
] |
[
"13+13+3-5"
] | true | 7.36 | 0.941 | 7.83 | 3.12 | 800 |
[
1,
3,
8,
8
] |
[
"(3+1)×8-8",
"(3-1)×8+8",
"(8+1)×8/3"
] | true | 9.06 | 0.867 | 9.24 | 4.54 | 160 |
[
4,
5,
6,
13
] |
[
"(13-5-4)×6"
] | true | 11.9 | 0.782 | 10.49 | 5.18 | 956 |
[
3,
6,
9,
10
] |
[
"(10+3-9)×6",
"(9-3)×(10-6)",
"10×9/3-6",
"9×6-10×3",
"(6-10/3)×9"
] | true | 8.3 | 0.925 | 8.68 | 3.65 | 821 |
[
5,
8,
10,
12
] |
[
"(10+5-12)×8"
] | true | 12.3 | 0.842 | 11.57 | 5.31 | 1,158 |
[
3,
9,
9,
10
] |
[
"(9+9-10)×3"
] | true | 8.94 | 0.866 | 8.92 | 3.88 | 877 |
[
4,
4,
5,
11
] |
[
"11+5+4+4",
"11×4-5×4"
] | true | 11.59 | 0.852 | 11.38 | 4.8 | 913 |
[
1,
3,
6,
12
] |
[
"(12-6)×(3+1)",
"(6-3-1)×12",
"12×6×1/3",
"(3-1)×6+12",
"12/(1-3/6)"
] | true | 5.92 | 0.968 | 6.33 | 2.22 | 152 |
[
6,
10,
10,
10
] |
[
"10+10+10-6"
] | true | 6.51 | 0.959 | 6.78 | 2.28 | 1,246 |
[
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 | 509 |
[
5,
7,
10,
13
] |
[
"(13-5)×(10-7)"
] | true | 23.22 | 0.616 | 16.85 | 7.67 | 1,145 |
[
1,
2,
8,
9
] |
[
"9×8/(2+1)",
"8×2+9-1",
"(9-1)×2+8"
] | true | 8.39 | 0.935 | 8.98 | 3.48 | 103 |
[
2,
6,
10,
11
] |
[
"6/2+11+10",
"(11+6)×2-10"
] | true | 16.5 | 0.74 | 13.78 | 7.07 | 586 |
[
6,
7,
8,
11
] |
[
"(11+7)×8/6",
"(8+7-11)×6"
] | true | 10.8 | 0.837 | 10.54 | 5.2 | 1,207 |
[
1,
2,
2,
8
] |
[
"(2+2-1)×8",
"(2×2-1)×8"
] | true | 6.36 | 0.935 | 6.8 | 2.7 | 53 |
[
1,
3,
6,
11
] |
[
"(11+1)×6/3",
"(11-1)×3-6"
] | true | 10.7 | 0.882 | 10.63 | 4.33 | 151 |
[
2,
2,
10,
13
] |
[
"2/2+13+10"
] | true | 7.17 | 0.9 | 7.38 | 3.11 | 403 |
[
1,
4,
7,
9
] |
[
"(9-1)×(7-4)"
] | true | 12.9 | 0.819 | 12.06 | 5.16 | 207 |
[
7,
10,
10,
12
] |
[
"(12-10)×7+10"
] | true | 12.68 | 0.778 | 11.52 | 5.48 | 1,288 |
[
5,
6,
10,
10
] |
[
"(10+10)×6/5",
"(5-10/10)×6"
] | true | 7.91 | 0.867 | 8.17 | 3.91 | 1,122 |
[
1,
1,
2,
10
] |
[
"(10+2)×(1+1)",
"(10+1+1)×2"
] | true | 5.7 | 0.957 | 6.01 | 1.84 | 8 |
[
4,
7,
7,
11
] |
[
"7×4+7-11",
"(11-7)×7-4"
] | true | 9.65 | 0.874 | 9.82 | 4.73 | 1,014 |
[
4,
9,
11,
11
] |
[
"11×4-11-9"
] | true | 46.63 | 0.445 | 26.12 | 14.27 | 1,060 |
[
2,
3,
7,
12
] |
[
"12+7+3+2",
"(7-3-2)×12",
"12/(7/2-3)",
"(7-3)×12/2"
] | true | 7.47 | 0.948 | 7.91 | 3.06 | 452 |
[
1,
5,
9,
11
] |
[
"11+9+5-1"
] | true | 9.14 | 0.933 | 9.63 | 3.92 | 253 |
[
3,
12,
12,
12
] |
[
"(3-12/12)×12"
] | true | 7.95 | 0.912 | 8.29 | 3.44 | 896 |
[
6,
6,
8,
13
] |
[
"(13-8)×6-6"
] | true | 9.29 | 0.833 | 9.01 | 4.48 | 1,192 |
[
3,
9,
9,
13
] |
[
"(9-3)×(13-9)"
] | true | 17.18 | 0.675 | 12.58 | 6.35 | 880 |
[
7,
9,
12,
12
] |
[
"12×9-12×7"
] | true | 15.98 | 0.642 | 9.71 | 5.73 | 1,285 |
[
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 | 623 |
[
2,
2,
2,
7
] |
[
"(7×2-2)×2"
] | true | 13.48 | 0.728 | 10.26 | 6.18 | 345 |
[
5,
10,
10,
13
] |
[
"(13×10-10)/5"
] | true | 49.77 | 0.39 | 17.43 | 8.13 | 1,172 |
[
1,
5,
12,
12
] |
[
"12×12/(5+1)"
] | true | 11.41 | 0.807 | 10.49 | 5.02 | 262 |
[
1,
3,
6,
10
] |
[
"(10×3-6)×1"
] | true | 14.21 | 0.82 | 12.61 | 7.01 | 150 |
[
2,
3,
13,
13
] |
[
"13×3-13-2"
] | true | 28.08 | 0.587 | 18.45 | 9.93 | 472 |
[
2,
9,
11,
13
] |
[
"13×2+9-11",
"(11-9)×13-2"
] | true | 12.49 | 0.82 | 11.79 | 5.68 | 640 |
[
10,
13,
13,
13
] |
[
"13/13+13+10"
] | true | 6.2 | 0.935 | 6.69 | 2.87 | 1,349 |
[
7,
9,
10,
12
] |
[
"12+10+9-7"
] | true | 7.39 | 0.941 | 7.95 | 3.25 | 1,282 |
[
2,
5,
8,
13
] |
[
"(13-5×2)×8",
"13+8+5-2",
"8×2+13-5",
"(13+2)×8/5",
"(13-5)×2+8"
] | true | 9.17 | 0.931 | 9.63 | 3.94 | 550 |
[
4,
4,
8,
8
] |
[
"8+8+4+4",
"(8+4)×8/4",
"(8-4)×4+8",
"(8-8/4)×4"
] | true | 7.6 | 0.959 | 8.21 | 3.21 | 928 |
[
2,
4,
5,
10
] |
[
"5×2+10+4"
] | true | 23.42 | 0.677 | 17.84 | 8.52 | 488 |
[
6,
8,
10,
12
] |
[
"8×6/(12-10)",
"12+10+8-6",
"(10+6)×12/8",
"12×8/(10-6)",
"(10-8)×6+12"
] | true | 6.77 | 0.974 | 7.35 | 2.8 | 1,230 |
[
1,
3,
6,
6
] |
[
"(6+1-3)×6",
"(6+6)×(3-1)",
"(6×3+6)×1"
] | true | 6.5 | 0.973 | 7 | 2.62 | 146 |
[
2,
2,
10,
11
] |
[
"(11×2-10)×2"
] | true | 98.41 | 0.308 | 26.78 | 17.49 | 402 |
[
4,
5,
6,
11
] |
[
"(11+5)×6/4"
] | true | 64.1 | 0.381 | 20.05 | 11.42 | 954 |
[
7,
8,
11,
13
] |
[
"(13+11)×(8-7)",
"(13-8)×7-11"
] | true | 8.04 | 0.906 | 8.61 | 3.9 | 1,277 |
[
2,
13,
13,
13
] |
[
"(13-13/13)×2"
] | true | 6.21 | 0.909 | 6.4 | 2.38 | 659 |
[
2,
3,
9,
13
] |
[
"(13-9)×3×2",
"(13-2)×3-9",
"(13×3+9)/2"
] | true | 10.02 | 0.877 | 10.28 | 5.32 | 463 |
[
1,
4,
4,
11
] |
[
"(11-4-1)×4"
] | true | 10.89 | 0.865 | 10.85 | 5.36 | 186 |
[
5,
7,
11,
13
] |
[
"(7+5)×(13-11)"
] | true | 13.48 | 0.709 | 10.38 | 5.51 | 1,147 |
[
2,
7,
10,
12
] |
[
"12×10/(7-2)",
"10/2+12+7",
"(7-10/2)×12"
] | true | 19.58 | 0.705 | 16.12 | 7.12 | 608 |
[
1,
3,
5,
11
] |
[
"(11-5)×(3+1)",
"(11+1)×(5-3)"
] | true | 7.78 | 0.93 | 8.12 | 2.87 | 143 |
[
3,
4,
8,
13
] |
[
"(13-4)×8/3",
"8/(13/3-4)"
] | true | 18.99 | 0.699 | 14.33 | 8.2 | 751 |
[
4,
5,
12,
12
] |
[
"(12+12)×(5-4)",
"(5-12/4)×12",
"(12/12+5)×4"
] | true | 5.24 | 0.971 | 5.61 | 1.78 | 981 |
[
1,
4,
6,
6
] |
[
"(4+1)×6-6",
"(4-1)×6+6"
] | true | 13.53 | 0.802 | 12.21 | 6.51 | 197 |
[
3,
9,
10,
12
] |
[
"(9+3)×(12-10)",
"(9+3-10)×12"
] | true | 9.19 | 0.902 | 9.4 | 3.74 | 883 |
[
1,
6,
8,
13
] |
[
"(13-8-1)×6",
"(13-1)×(8-6)"
] | true | 7.34 | 0.945 | 7.79 | 2.87 | 279 |
[
1,
7,
7,
12
] |
[
"(7/7+1)×12"
] | true | 6.17 | 0.89 | 6.31 | 2.35 | 293 |
[
11,
11,
12,
13
] |
[
"13+12-11/11",
"(13+11)×(12-11)"
] | true | 6.99 | 0.952 | 7.46 | 2.53 | 1,353 |
[
2,
2,
9,
12
] |
[
"(2+2)×9-12",
"9×2×2-12",
"9×2+12/2"
] | true | 17.89 | 0.729 | 15.37 | 6.65 | 400 |
[
1,
3,
3,
7
] |
[
"(7×3+3)×1"
] | true | 6.55 | 0.96 | 7.38 | 3.34 | 122 |
[
1,
4,
6,
11
] |
[
"(11+1-6)×4",
"(11+1)×(6-4)"
] | true | 7.96 | 0.926 | 8.29 | 3.24 | 202 |
[
3,
7,
7,
8
] |
[
"8×3+7-7"
] | true | 5.16 | 0.967 | 5.53 | 1.92 | 835 |
[
1,
5,
8,
9
] |
[
"(9-5-1)×8",
"(9-1)×(8-5)",
"9/(1-5/8)"
] | true | 6.43 | 0.943 | 6.92 | 2.73 | 246 |
[
8,
8,
8,
10
] |
[
"(10-8)×8+8"
] | true | 6.53 | 0.902 | 6.84 | 2.94 | 1,293 |
[
7,
9,
9,
13
] |
[
"13+9+9-7"
] | true | 10.42 | 0.878 | 10.49 | 4.67 | 1,280 |
[
5,
8,
8,
13
] |
[
"13+8+8-5"
] | true | 8.14 | 0.925 | 8.5 | 3.7 | 1,153 |
[
2,
2,
6,
9
] |
[
"(6/2+9)×2",
"(9×2-6)×2"
] | true | 38.12 | 0.516 | 19 | 10.81 | 384 |
[
3,
7,
11,
12
] |
[
"(11+3)×12/7",
"(12+7-11)×3",
"(11-7)×3+12"
] | true | 7.34 | 0.907 | 7.82 | 3.51 | 854 |
[
1,
4,
9,
13
] |
[
"9×4+1-13"
] | true | 28.97 | 0.61 | 19.64 | 10.47 | 219 |
[
2,
9,
12,
13
] |
[
"(13-9-2)×12",
"(13-9)×12/2"
] | true | 8.64 | 0.908 | 9.03 | 3.91 | 641 |
[
1,
1,
1,
11
] |
[
"(11+1)×(1+1)"
] | true | 5.28 | 0.974 | 5.6 | 1.67 | 1 |
[
1,
2,
11,
11
] |
[
"(11+11+2)×1"
] | true | 5.97 | 0.975 | 6.46 | 2.42 | 112 |
[
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 | 698 |
[
8,
8,
10,
12
] |
[
"(12-10)×8+8"
] | true | 11.15 | 0.789 | 10.07 | 5.8 | 1,300 |
[
4,
5,
6,
8
] |
[
"(5+4-6)×8"
] | true | 10.64 | 0.873 | 10.56 | 4.35 | 951 |
[
6,
6,
11,
13
] |
[
"(6+6)×(13-11)",
"13+11+6-6",
"(11+6-13)×6"
] | true | 5.81 | 0.979 | 6.31 | 2.21 | 1,200 |
[
6,
8,
9,
13
] |
[
"13+9+8-6",
"(9+8-13)×6"
] | true | 8.83 | 0.941 | 9.46 | 3.94 | 1,228 |
[
2,
3,
6,
8
] |
[
"(8+2)×3-6",
"6×3+8-2",
"(8-2)×3+6"
] | true | 23.66 | 0.753 | 20.53 | 8.91 | 441 |
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