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
|
|---|---|---|---|---|---|---|---|
[
2,
5,
11,
12
] |
[
"12/(11/2-5)",
"(11-5)×2+12"
] | true | 12.56 | 0.772 | 10.88 | 5.66 | 558 |
[
3,
6,
7,
8
] |
[
"8+7+6+3",
"(8+3-7)×6",
"(7-6)×8×3"
] | true | 6.4 | 0.979 | 6.82 | 2.31 | 810 |
[
1,
1,
2,
12
] |
[
"12×2+1-1",
"12/(1-1/2)"
] | true | 4.61 | 0.992 | 4.93 | 1.53 | 10 |
[
1,
3,
6,
7
] |
[
"(7-3)×6×1",
"(7+1)×(6-3)",
"6×3+7-1",
"(7-1)×3+6"
] | true | 6.98 | 0.963 | 7.38 | 2.79 | 147 |
[
2,
7,
8,
13
] |
[
"(13-7)×8/2",
"8/2+13+7",
"(13+7-8)×2"
] | true | 7.48 | 0.942 | 8 | 3.17 | 602 |
[
1,
6,
9,
12
] |
[
"(9-6-1)×12",
"(12+1-9)×6",
"12/(9/6-1)",
"6/(1-9/12)"
] | true | 5.71 | 0.957 | 6.08 | 2.11 | 282 |
[
1,
7,
8,
12
] |
[
"(8+1-7)×12",
"(7-1)×(12-8)"
] | true | 6.58 | 0.956 | 7.03 | 2.67 | 298 |
[
3,
4,
7,
10
] |
[
"10+7+4+3",
"(10+3-7)×4",
"(10-4)×(7-3)"
] | true | 8.45 | 0.933 | 8.73 | 3.49 | 744 |
[
1,
7,
7,
10
] |
[
"(7+1)×(10-7)",
"(10+7+7)×1"
] | true | 5.76 | 0.98 | 6.19 | 2.13 | 291 |
[
3,
4,
9,
9
] |
[
"(9+9)×4/3",
"9×4-9-3",
"(9-9/3)×4",
"(9-4)×3+9"
] | true | 12.83 | 0.845 | 12.48 | 5.23 | 752 |
[
3,
9,
11,
11
] |
[
"(3-9/11)×11",
"(9-11/11)×3"
] | true | 7.55 | 0.855 | 7.71 | 3.43 | 885 |
[
4,
5,
10,
13
] |
[
"13+10+5-4"
] | true | 9.3 | 0.914 | 9.81 | 4.45 | 977 |
[
2,
3,
3,
7
] |
[
"(7-3)×3×2",
"(7+3-2)×3",
"(7+2)×3-3"
] | true | 8.63 | 0.919 | 8.99 | 3.71 | 413 |
[
2,
7,
7,
12
] |
[
"12+7+7-2",
"12×2+7-7"
] | true | 5.3 | 0.988 | 5.69 | 1.9 | 596 |
[
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 | 493 |
[
2,
3,
3,
3
] |
[
"(3+3+2)×3",
"(3×3+3)×2"
] | true | 13.24 | 0.822 | 12.17 | 6.04 | 410 |
[
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 | 420 |
[
1,
3,
4,
11
] |
[
"(11+1-4)×3",
"(11-3)×(4-1)",
"4×3+11+1"
] | true | 7.24 | 0.96 | 7.77 | 2.95 | 135 |
[
5,
6,
10,
13
] |
[
"13+10+6-5"
] | true | 8.63 | 0.912 | 9.35 | 4.41 | 1,125 |
[
2,
2,
2,
3
] |
[
"(2+2)×3×2",
"3×2×2×2"
] | true | 5.71 | 0.99 | 5.97 | 1.71 | 342 |
[
4,
6,
11,
12
] |
[
"(12-11)×6×4"
] | true | 6.6 | 0.929 | 7.03 | 2.97 | 1,008 |
[
7,
8,
8,
9
] |
[
"(9-7)×8+8"
] | true | 7.39 | 0.864 | 7.82 | 3.96 | 1,265 |
[
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 | 1,009 |
[
2,
5,
9,
12
] |
[
"(9-5-2)×12",
"12+9+5-2",
"12/(5-9/2)",
"(9-5)×12/2"
] | true | 7.22 | 0.957 | 7.67 | 2.92 | 553 |
[
1,
3,
7,
12
] |
[
"(7-1)×12/3"
] | true | 11.8 | 0.856 | 11.25 | 5.09 | 158 |
[
6,
6,
6,
8
] |
[
"(6+6)×(8-6)",
"(6+6-8)×6"
] | true | 9.58 | 0.914 | 9.91 | 4.25 | 1,178 |
[
3,
5,
5,
11
] |
[
"11+5+5+3"
] | true | 14.51 | 0.798 | 13.41 | 5.63 | 767 |
[
6,
6,
6,
11
] |
[
"(11-6)×6-6"
] | true | 7.35 | 0.888 | 7.65 | 3.55 | 1,181 |
[
3,
6,
9,
12
] |
[
"12×6×3/9",
"12+9+6-3",
"(9+3)×12/6",
"(9-3)×6-12"
] | true | 10.53 | 0.929 | 10.96 | 4.24 | 823 |
[
2,
8,
9,
11
] |
[
"8/2+11+9",
"(11+9-8)×2"
] | true | 8.93 | 0.908 | 9.35 | 3.94 | 620 |
[
2,
3,
11,
11
] |
[
"11×3+2-11"
] | true | 20.49 | 0.679 | 15.48 | 7.87 | 467 |
[
2,
5,
5,
12
] |
[
"12+5+5+2",
"12×2+5-5"
] | true | 5.47 | 0.988 | 5.88 | 1.96 | 529 |
[
8,
8,
9,
13
] |
[
"(13-9)×8-8"
] | true | 9.36 | 0.811 | 8.94 | 4.86 | 1,299 |
[
4,
5,
6,
6
] |
[
"(6-5)×6×4",
"(6/6+5)×4"
] | true | 6.5 | 0.954 | 6.85 | 2.37 | 949 |
[
1,
12,
12,
12
] |
[
"(12/12+1)×12"
] | true | 6.74 | 0.938 | 6.95 | 2.57 | 339 |
[
1,
2,
7,
7
] |
[
"(7×7-1)/2"
] | true | 34.41 | 0.548 | 18.13 | 10.73 | 96 |
[
4,
4,
5,
5
] |
[
"5×5-4/4",
"(5+5-4)×4",
"(4/5+4)×5"
] | true | 6.75 | 0.933 | 7.25 | 2.65 | 908 |
[
4,
5,
6,
10
] |
[
"5×4+10-6",
"6×5+4-10",
"(10-4)×5-6",
"(10-6)×5+4"
] | true | 10.21 | 0.904 | 10.67 | 4.44 | 953 |
[
3,
4,
12,
13
] |
[
"13+12+3-4"
] | true | 7.95 | 0.933 | 8.59 | 3.78 | 762 |
[
2,
4,
6,
8
] |
[
"8×6/(4-2)",
"8×6×2/4",
"8×4-6-2",
"(6+2)×4-8",
"6×2+8+4",
"(6-2)×4+8",
"(8/4+2)×6",
"(8+6)×2-4"
] | true | 11.45 | 0.935 | 11.83 | 4.36 | 494 |
[
1,
3,
7,
9
] |
[
"(7+1)×9/3"
] | true | 14.55 | 0.802 | 13.05 | 5.69 | 156 |
[
4,
4,
8,
10
] |
[
"(10+4-8)×4",
"(10-4)×(8-4)",
"10×8/4+4"
] | true | 9.03 | 0.912 | 9.38 | 4.47 | 930 |
[
2,
5,
6,
11
] |
[
"11+6+5+2",
"(11-5-2)×6",
"(11-5)×(6-2)",
"(11+6-5)×2"
] | true | 6.76 | 0.963 | 7.25 | 2.64 | 536 |
[
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 | 705 |
[
4,
6,
12,
13
] |
[
"(13-12)×6×4"
] | true | 6.4 | 0.938 | 6.88 | 2.91 | 1,010 |
[
4,
5,
5,
6
] |
[
"6×4+5-5"
] | true | 5.65 | 0.975 | 6.08 | 2.12 | 944 |
[
2,
3,
9,
12
] |
[
"(9-3)×2+12"
] | true | 21.55 | 0.664 | 13.76 | 8.07 | 462 |
[
2,
4,
5,
12
] |
[
"(12-4)×(5-2)",
"(5-2)×4+12",
"(5-4)×12×2"
] | true | 6.58 | 0.947 | 7.02 | 2.86 | 490 |
[
2,
5,
6,
7
] |
[
"(7+2-5)×6",
"6×2+7+5",
"(7-5)×6×2"
] | true | 8.24 | 0.924 | 8.68 | 3.67 | 532 |
[
2,
2,
2,
12
] |
[
"(2+2)×12/2",
"(2×2-2)×12",
"12×2+2-2"
] | true | 5 | 0.992 | 5.36 | 1.71 | 350 |
[
2,
2,
4,
4
] |
[
"(4×2-2)×4",
"(4×2+4)×2"
] | true | 20.23 | 0.716 | 15.55 | 8.4 | 363 |
[
1,
7,
13,
13
] |
[
"(13×13-1)/7"
] | true | 48.91 | 0.412 | 14.87 | 9.19 | 308 |
[
2,
10,
12,
13
] |
[
"13×2+10-12",
"(12+10)/2+13",
"(12-10)×13-2"
] | true | 14.51 | 0.813 | 13.58 | 6.28 | 649 |
[
2,
5,
5,
9
] |
[
"5×2+9+5",
"(5-2)×5+9"
] | true | 16.2 | 0.785 | 14.74 | 6.1 | 526 |
[
5,
6,
11,
13
] |
[
"(13+11)×(6-5)",
"(13-6)×5-11"
] | true | 7.42 | 0.914 | 7.91 | 3.42 | 1,128 |
[
3,
6,
12,
13
] |
[
"(13+3-12)×6"
] | true | 9.27 | 0.865 | 9.18 | 4.46 | 832 |
[
5,
7,
10,
10
] |
[
"10×7/5+10"
] | true | 13.65 | 0.772 | 12.45 | 5.53 | 1,142 |
[
8,
9,
11,
11
] |
[
"(11-8)×11-9"
] | true | 26.08 | 0.584 | 16.62 | 8.85 | 1,309 |
[
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 | 352 |
[
1,
3,
3,
9
] |
[
"(9-3)×(3+1)",
"(9+3)×(3-1)",
"(3-1/3)×9",
"(9×3-3)×1"
] | true | 6.65 | 0.968 | 7.28 | 2.87 | 124 |
[
1,
3,
13,
13
] |
[
"13+13+1-3"
] | true | 6.7 | 0.972 | 7.22 | 2.65 | 178 |
[
1,
6,
11,
13
] |
[
"(13×11+1)/6"
] | true | 55.57 | 0.385 | 19.72 | 10.9 | 287 |
[
8,
9,
11,
13
] |
[
"(13+11)×(9-8)"
] | true | 7.83 | 0.905 | 8.29 | 3.8 | 1,311 |
[
5,
7,
7,
9
] |
[
"(7+5)×(9-7)"
] | true | 13.42 | 0.74 | 11.42 | 5.28 | 1,132 |
[
1,
7,
8,
8
] |
[
"8+8+7+1"
] | true | 6.16 | 0.967 | 6.67 | 2.66 | 294 |
[
4,
4,
6,
10
] |
[
"10+6+4+4",
"(6-4)×10+4"
] | true | 12.64 | 0.88 | 12.64 | 5.29 | 918 |
[
2,
2,
7,
8
] |
[
"(7-2-2)×8",
"(7-2×2)×8",
"7×2+8+2"
] | true | 7.62 | 0.936 | 8 | 3.05 | 390 |
[
2,
2,
4,
11
] |
[
"11×2+4-2",
"(4-2)×11+2",
"11×4/2+2",
"11×2+4/2"
] | true | 8.28 | 0.918 | 8.72 | 3.72 | 370 |
[
12,
12,
12,
12
] |
[
"12+12+12-12"
] | true | 5.27 | 0.993 | 5.72 | 2.08 | 1,358 |
[
4,
6,
6,
6
] |
[
"6×4+6-6",
"(6+6)×(6-4)"
] | true | 5.6 | 0.985 | 5.99 | 2.03 | 984 |
[
1,
2,
6,
6
] |
[
"(2+1)×6+6",
"(6+6)×2×1",
"(6-2)×6×1",
"(6/2+1)×6"
] | true | 5.99 | 0.976 | 6.43 | 2.22 | 88 |
[
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 | 771 |
[
2,
11,
12,
13
] |
[
"(13+11-12)×2",
"(13+11)/2+12"
] | true | 9.15 | 0.898 | 9.57 | 4.11 | 654 |
[
2,
5,
8,
11
] |
[
"(11-5)×8/2",
"(11+5)×2-8"
] | true | 10.29 | 0.859 | 10.45 | 5.18 | 548 |
[
3,
5,
7,
13
] |
[
"(13×5+7)/3"
] | true | 127.36 | 0.236 | 41.1 | 22.81 | 782 |
[
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 | 579 |
[
4,
10,
11,
12
] |
[
"12/4+11+10"
] | true | 25.19 | 0.631 | 17.86 | 9.14 | 1,065 |
[
3,
4,
5,
10
] |
[
"10×4×3/5",
"(5-3)×10+4"
] | true | 8.56 | 0.903 | 8.9 | 4.12 | 730 |
[
1,
7,
7,
9
] |
[
"9+7+7+1"
] | true | 7.19 | 0.961 | 7.57 | 2.88 | 290 |
[
1,
6,
10,
13
] |
[
"(13+1-10)×6"
] | true | 8.64 | 0.882 | 8.87 | 4.22 | 285 |
[
4,
5,
8,
11
] |
[
"(11-5)×(8-4)",
"(11+4)×8/5"
] | true | 15.8 | 0.729 | 12.56 | 7.24 | 967 |
[
7,
10,
11,
13
] |
[
"(13-11)×7+10"
] | true | 13.72 | 0.74 | 11.37 | 5.96 | 1,289 |
[
5,
8,
9,
12
] |
[
"12+9+8-5",
"12×8/(9-5)"
] | true | 9.59 | 0.922 | 10.02 | 4.04 | 1,155 |
[
4,
10,
12,
13
] |
[
"(12-4)×(13-10)",
"(13-10)×4+12"
] | true | 11.42 | 0.815 | 10.62 | 5.63 | 1,068 |
[
1,
6,
6,
10
] |
[
"(10-6)×6×1"
] | true | 6.94 | 0.936 | 7.29 | 3.12 | 266 |
[
1,
9,
11,
12
] |
[
"(11-9)×12×1"
] | true | 6.78 | 0.938 | 7.29 | 3.09 | 327 |
[
2,
2,
2,
10
] |
[
"10×2+2+2",
"10×2+2×2"
] | true | 7.75 | 0.939 | 8.18 | 3.36 | 348 |
[
2,
3,
4,
7
] |
[
"(7+2-3)×4",
"(4+2)×(7-3)",
"(7+3)×2+4"
] | true | 11.16 | 0.867 | 11.04 | 4.95 | 423 |
[
1,
2,
3,
3
] |
[
"(3+1)×3×2"
] | true | 8.59 | 0.956 | 8.97 | 2.99 | 59 |
[
2,
3,
5,
7
] |
[
"7×3+5-2",
"(5-2)×7+3",
"5×3+7+2"
] | true | 11.68 | 0.892 | 11.78 | 4.92 | 432 |
[
7,
9,
11,
12
] |
[
"(11+7)×12/9",
"(11-7)×9-12"
] | true | 37.51 | 0.503 | 18.63 | 10.96 | 1,284 |
[
2,
3,
5,
10
] |
[
"(10+2)×(5-3)",
"(10+5-3)×2"
] | true | 13.48 | 0.802 | 12.18 | 5.42 | 435 |
[
3,
10,
11,
13
] |
[
"(11-3)×(13-10)",
"(11+10-13)×3"
] | true | 17.14 | 0.71 | 13.86 | 6.6 | 893 |
[
4,
4,
12,
13
] |
[
"13+12-4/4",
"(13-4)×4-12"
] | true | 6.75 | 0.922 | 7.13 | 2.64 | 942 |
[
2,
4,
4,
9
] |
[
"(9-2)×4-4"
] | true | 17.19 | 0.732 | 13.77 | 7.61 | 478 |
[
4,
7,
10,
11
] |
[
"11+10+7-4",
"(10-4)×(11-7)",
"(10+7-11)×4"
] | true | 6.96 | 0.971 | 7.55 | 2.81 | 1,027 |
[
3,
3,
8,
13
] |
[
"(13+3-8)×3"
] | true | 16.59 | 0.692 | 11.86 | 6.48 | 704 |
[
1,
10,
12,
13
] |
[
"(13-10-1)×12",
"(13-1)×(12-10)"
] | true | 7.2 | 0.945 | 7.58 | 2.85 | 333 |
[
6,
7,
9,
12
] |
[
"(9+7-12)×6",
"(9-7)×6+12"
] | true | 10.11 | 0.864 | 10.04 | 4.91 | 1,210 |
[
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 | 820 |
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