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,
7,
8,
9
] |
[
"(9+7)×2-8"
] | true | 76.32 | 0.387 | 19.6 | 12.12 | 599 |
[
7,
9,
11,
11
] |
[
"11+11+9-7"
] | true | 6.38 | 0.958 | 6.86 | 2.66 | 1,283 |
[
2,
4,
4,
12
] |
[
"(12-4-2)×4",
"4×2+12+4",
"12×4/(4-2)",
"(4-4/2)×12",
"12×2+4-4"
] | true | 5.93 | 0.985 | 6.31 | 2.16 | 481 |
[
5,
6,
8,
10
] |
[
"8×6×5/10",
"8×5-10-6",
"(8-5)×10-6"
] | true | 10.52 | 0.871 | 10.63 | 4.62 | 1,114 |
[
5,
6,
8,
9
] |
[
"(8+5-9)×6",
"(9+6)×8/5"
] | true | 9.73 | 0.899 | 10.01 | 4.44 | 1,113 |
[
2,
2,
9,
10
] |
[
"(9-2)×2+10"
] | true | 19.64 | 0.655 | 14.61 | 7.52 | 398 |
[
6,
7,
12,
13
] |
[
"13+12+6-7",
"(13-7)×6-12"
] | true | 6.8 | 0.955 | 7.31 | 2.78 | 1,218 |
[
3,
4,
4,
13
] |
[
"13+4+4+3",
"(13-4-3)×4"
] | true | 10.3 | 0.888 | 10.38 | 4.33 | 724 |
[
1,
9,
11,
13
] |
[
"(13-1)×(11-9)"
] | true | 9.62 | 0.876 | 9.79 | 4.2 | 328 |
[
6,
6,
8,
10
] |
[
"(6+6)×(10-8)",
"(8+6-10)×6"
] | true | 9.1 | 0.905 | 9.37 | 4.22 | 1,189 |
[
1,
8,
10,
12
] |
[
"(12+1-10)×8",
"(10-8)×12×1"
] | true | 5.92 | 0.958 | 6.23 | 2.19 | 318 |
[
4,
8,
12,
12
] |
[
"(12+4)×12/8",
"(4-12/12)×8"
] | true | 12.93 | 0.857 | 12.33 | 5.97 | 1,052 |
[
1,
2,
5,
8
] |
[
"(5+1)×8/2",
"(8+5-1)×2",
"(8-2)×(5-1)",
"(5-2)×8×1"
] | true | 5.55 | 0.958 | 5.97 | 2.24 | 83 |
[
1,
3,
4,
5
] |
[
"5×4+3+1",
"(3+1)×5+4",
"(5+4-1)×3",
"(5+3)×(4-1)"
] | true | 7.26 | 0.975 | 7.75 | 2.49 | 129 |
[
5,
8,
11,
13
] |
[
"(11+5-13)×8",
"(13-5)×(11-8)"
] | true | 8.45 | 0.886 | 8.57 | 3.52 | 1,160 |
[
1,
1,
3,
4
] |
[
"(1+1)×4×3"
] | true | 6.15 | 0.981 | 6.48 | 2.05 | 12 |
[
5,
6,
8,
12
] |
[
"(12+8)×6/5",
"12×6/(8-5)",
"(5-12/6)×8"
] | true | 10.47 | 0.877 | 10.44 | 4.12 | 1,115 |
[
1,
3,
10,
10
] |
[
"10+10+3+1"
] | true | 5.59 | 0.975 | 5.92 | 2.01 | 171 |
[
3,
9,
12,
12
] |
[
"12×12/(9-3)",
"12×9/3-12",
"(9-12/12)×3"
] | true | 7.85 | 0.909 | 8.4 | 3.61 | 888 |
[
6,
10,
11,
12
] |
[
"12×10/(11-6)"
] | true | 17.58 | 0.692 | 13.65 | 6.66 | 1,248 |
[
1,
5,
11,
11
] |
[
"(11×11-1)/5"
] | true | 42.99 | 0.436 | 17.17 | 10.45 | 260 |
[
4,
8,
8,
10
] |
[
"(8+4)×(10-8)",
"10×4-8-8",
"8×8-10×4",
"(8+8-10)×4"
] | true | 12.11 | 0.858 | 11.92 | 5.58 | 1,037 |
[
3,
3,
7,
8
] |
[
"3×3+8+7"
] | true | 21.74 | 0.691 | 17.49 | 8.32 | 695 |
[
6,
10,
12,
13
] |
[
"12×6/(13-10)"
] | true | 11 | 0.824 | 10.46 | 4.9 | 1,250 |
[
5,
7,
9,
12
] |
[
"(9+5)×12/7"
] | true | 59.78 | 0.396 | 18.45 | 11.83 | 1,140 |
[
3,
3,
11,
13
] |
[
"13+11+3-3"
] | true | 6.2 | 0.971 | 6.74 | 2.56 | 712 |
[
1,
10,
12,
12
] |
[
"(12-10)×12×1"
] | true | 6.31 | 0.959 | 6.89 | 2.91 | 332 |
[
2,
2,
3,
6
] |
[
"(2/2+3)×6",
"(6-2)×3×2",
"(3×2-2)×6",
"(3×2+6)×2"
] | true | 9.14 | 0.917 | 9.46 | 4.14 | 355 |
[
1,
3,
5,
6
] |
[
"6×3+5+1",
"(5+1)×3+6"
] | true | 14.96 | 0.866 | 14.63 | 6.03 | 138 |
[
2,
2,
6,
6
] |
[
"(6+2)×6/2",
"6×2+6×2"
] | true | 7.57 | 0.96 | 8.1 | 3.08 | 381 |
[
1,
7,
7,
11
] |
[
"11+7+7-1",
"(7-1)×(11-7)"
] | true | 6.7 | 0.97 | 7.28 | 2.64 | 292 |
[
6,
7,
12,
12
] |
[
"(12+12)×(7-6)"
] | true | 5.58 | 0.958 | 5.95 | 2.03 | 1,217 |
[
2,
4,
7,
10
] |
[
"(10-7)×4×2",
"(4-2)×7+10",
"7×4/2+10",
"(10-2)×(7-4)"
] | true | 8.56 | 0.912 | 8.82 | 3.86 | 503 |
[
1,
3,
5,
9
] |
[
"(9-3)×(5-1)",
"(5×3+9)×1",
"(5/3+1)×9"
] | true | 10.47 | 0.907 | 10.72 | 4.59 | 141 |
[
5,
5,
7,
10
] |
[
"(7+5)×10/5"
] | true | 13.71 | 0.742 | 11.78 | 5.2 | 1,081 |
[
6,
7,
7,
11
] |
[
"7×6-11-7"
] | true | 50.13 | 0.43 | 28.85 | 15.28 | 1,204 |
[
2,
6,
6,
11
] |
[
"(6/6+11)×2"
] | true | 7.74 | 0.831 | 7.51 | 3.24 | 566 |
[
1,
3,
5,
7
] |
[
"(7+5)×(3-1)",
"(5+1)×(7-3)"
] | true | 9.32 | 0.895 | 9.53 | 4.12 | 139 |
[
6,
6,
9,
10
] |
[
"(9-6)×10-6",
"(10+6)×9/6"
] | true | 17.62 | 0.702 | 13.9 | 7.22 | 1,193 |
[
4,
8,
12,
13
] |
[
"(12+4-13)×8",
"12/4+13+8"
] | true | 7.67 | 0.919 | 8.32 | 3.73 | 1,053 |
[
1,
5,
5,
5
] |
[
"(5-1/5)×5"
] | true | 47.66 | 0.434 | 12.55 | 7.76 | 224 |
[
4,
4,
5,
12
] |
[
"(5+4)×4-12",
"(12-5)×4-4"
] | true | 13.64 | 0.791 | 12.1 | 6.42 | 914 |
[
1,
6,
8,
8
] |
[
"(8+1-6)×8",
"8/(8/6-1)"
] | true | 7.08 | 0.932 | 7.41 | 2.98 | 274 |
[
1,
9,
9,
12
] |
[
"(9-1)×(12-9)",
"(9/9+1)×12"
] | true | 5.48 | 0.958 | 5.78 | 1.81 | 323 |
[
2,
3,
9,
10
] |
[
"10+9+3+2",
"10×3/2+9",
"(9×2-10)×3",
"(10-2)×9/3"
] | true | 10.79 | 0.899 | 11.02 | 4.36 | 461 |
[
2,
2,
13,
13
] |
[
"(2-2/13)×13"
] | true | 68.63 | 0.368 | 15.35 | 9.38 | 409 |
[
1,
9,
10,
13
] |
[
"(9-1)×(13-10)"
] | true | 10.99 | 0.836 | 10.53 | 4.58 | 325 |
[
2,
7,
9,
13
] |
[
"9×2+13-7",
"13×2+7-9",
"(9-7)×13-2"
] | true | 9.86 | 0.874 | 10.04 | 4.92 | 605 |
[
1,
7,
9,
9
] |
[
"9+9+7-1"
] | true | 7.56 | 0.948 | 8.02 | 3.16 | 299 |
[
4,
5,
5,
10
] |
[
"10+5+5+4"
] | true | 12.02 | 0.812 | 11.13 | 4.48 | 948 |
[
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 | 458 |
[
3,
8,
9,
11
] |
[
"9×3+8-11",
"(11-8)×9-3"
] | true | 14.32 | 0.797 | 13.13 | 7.09 | 865 |
[
7,
7,
12,
12
] |
[
"(7+7-12)×12",
"12+12+7-7"
] | true | 5.22 | 0.986 | 5.59 | 1.84 | 1,263 |
[
6,
6,
7,
11
] |
[
"11×6-7×6"
] | true | 25.91 | 0.581 | 13.95 | 8.68 | 1,185 |
[
5,
9,
12,
12
] |
[
"(9+5-12)×12",
"(12×9+12)/5"
] | true | 11.15 | 0.832 | 10.93 | 4.85 | 1,168 |
[
3,
5,
8,
13
] |
[
"8×5-13-3"
] | true | 52.88 | 0.426 | 31.55 | 14.74 | 787 |
[
3,
4,
4,
12
] |
[
"(3-4/4)×12",
"(12/4+3)×4"
] | true | 7.77 | 0.906 | 8.05 | 3.35 | 723 |
[
6,
8,
10,
13
] |
[
"(10+6-13)×8"
] | true | 8.65 | 0.865 | 8.73 | 3.87 | 1,231 |
[
4,
5,
13,
13
] |
[
"(13/13+5)×4"
] | true | 6.58 | 0.876 | 6.78 | 2.89 | 983 |
[
4,
5,
9,
13
] |
[
"5×4+13-9",
"(13-9)×5+4"
] | true | 9.01 | 0.893 | 9.68 | 4.99 | 973 |
[
2,
6,
8,
8
] |
[
"8+8+6+2",
"(6-2)×8-8",
"(8-8/2)×6"
] | true | 9.63 | 0.928 | 10.04 | 4.14 | 575 |
[
5,
7,
13,
13
] |
[
"13+13+5-7"
] | true | 7.6 | 0.941 | 8.01 | 3.25 | 1,149 |
[
4,
7,
9,
11
] |
[
"(7-4)×11-9",
"(9-4)×7-11"
] | true | 37.33 | 0.523 | 23.35 | 11.52 | 1,023 |
[
2,
7,
12,
12
] |
[
"(7×2-12)×12",
"(12+2)×12/7"
] | true | 22.11 | 0.621 | 12.95 | 7.89 | 610 |
[
6,
9,
12,
12
] |
[
"(9-6)×12-12",
"(12+6)×12/9",
"12×6/(12-9)"
] | true | 6.97 | 0.893 | 7.53 | 3.73 | 1,244 |
[
2,
8,
11,
12
] |
[
"(12+2-11)×8"
] | true | 8.68 | 0.884 | 8.9 | 4.23 | 628 |
[
3,
4,
9,
13
] |
[
"(13+4-9)×3"
] | true | 10.96 | 0.792 | 9.82 | 5.58 | 755 |
[
1,
8,
11,
13
] |
[
"(13+1-11)×8"
] | true | 8.23 | 0.883 | 8.41 | 3.59 | 321 |
[
2,
4,
8,
8
] |
[
"4×2+8+8",
"(4-2)×8+8",
"8×4/2+8",
"(8-2)×(8-4)",
"(8+8-4)×2"
] | true | 8.25 | 0.937 | 8.89 | 4.13 | 506 |
[
3,
6,
7,
7
] |
[
"(7+7-6)×3",
"(7/7+3)×6"
] | true | 5.96 | 0.935 | 6.35 | 2.43 | 809 |
[
3,
3,
9,
10
] |
[
"10×3+3-9"
] | true | 15.55 | 0.777 | 13.99 | 6.4 | 706 |
[
4,
9,
9,
10
] |
[
"10+9+9-4"
] | true | 10.03 | 0.899 | 10.28 | 4.17 | 1,055 |
[
4,
4,
7,
9
] |
[
"9+7+4+4",
"(9+4-7)×4"
] | true | 7.71 | 0.935 | 8.13 | 3.48 | 924 |
[
1,
1,
8,
8
] |
[
"(1+1)×8+8"
] | true | 7.23 | 0.897 | 7.72 | 3.87 | 39 |
[
1,
1,
5,
5
] |
[
"(5+1)×(5-1)",
"(5×5-1)×1"
] | true | 5.36 | 0.991 | 5.74 | 1.83 | 30 |
[
1,
5,
7,
11
] |
[
"11+7+5+1",
"(5+1)×(11-7)",
"(11+1)×(7-5)",
"(7×5-11)×1"
] | true | 6 | 0.986 | 6.49 | 2.17 | 242 |
[
9,
11,
13,
13
] |
[
"13+13+9-11"
] | true | 7.72 | 0.922 | 8.27 | 3.29 | 1,334 |
[
4,
5,
10,
10
] |
[
"10×10/5+4",
"(10/10+5)×4"
] | true | 7.1 | 0.913 | 7.49 | 3.25 | 974 |
[
1,
3,
4,
12
] |
[
"(12-4)×3×1",
"(4+1-3)×12",
"12×4/(3-1)",
"(4×3+12)×1"
] | true | 5.57 | 0.986 | 5.99 | 1.95 | 136 |
[
1,
8,
8,
9
] |
[
"9+8+8-1"
] | true | 6.44 | 0.965 | 6.96 | 2.68 | 310 |
[
6,
6,
10,
12
] |
[
"(6+6)×(12-10)",
"(6+6-10)×12",
"(10+6-12)×6",
"(12-6)×(10-6)"
] | true | 7.95 | 0.939 | 8.36 | 3.19 | 1,197 |
[
2,
6,
11,
13
] |
[
"(13-11)×6×2",
"(13+2-11)×6"
] | true | 7.82 | 0.901 | 8.01 | 3.44 | 590 |
[
2,
4,
5,
8
] |
[
"(8-5)×4×2",
"(4×2-5)×8",
"(5+2-4)×8",
"(5-4/2)×8",
"8×5/2+4",
"5×4+8/2",
"(5×4-8)×2"
] | true | 7.04 | 0.952 | 7.44 | 2.81 | 486 |
[
6,
7,
7,
10
] |
[
"(7+7-10)×6"
] | true | 14.08 | 0.722 | 11.24 | 5.54 | 1,203 |
[
8,
11,
12,
12
] |
[
"(11-8)×12-12"
] | true | 8.24 | 0.772 | 7.55 | 3.8 | 1,319 |
[
11,
11,
12,
12
] |
[
"12+12+11-11"
] | true | 5.15 | 0.988 | 5.54 | 1.87 | 1,352 |
[
2,
6,
6,
6
] |
[
"6×2+6+6",
"6×6-6×2",
"6×6/2+6"
] | true | 7.61 | 0.961 | 8.13 | 3.05 | 561 |
[
1,
1,
1,
13
] |
[
"(13-1)×(1+1)"
] | true | 5.55 | 0.974 | 5.88 | 1.78 | 3 |
[
1,
2,
10,
13
] |
[
"13+10+2-1"
] | true | 6.69 | 0.971 | 7.2 | 2.74 | 111 |
[
3,
5,
6,
7
] |
[
"(7+5)×6/3",
"(7+6-5)×3"
] | true | 9.17 | 0.896 | 9.23 | 3.89 | 770 |
[
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 | 1,175 |
[
3,
8,
12,
12
] |
[
"8×3+12-12",
"12/3+12+8",
"(12-8)×3+12"
] | true | 6.09 | 0.967 | 6.54 | 2.47 | 873 |
[
4,
8,
9,
9
] |
[
"(4-9/9)×8"
] | true | 6.38 | 0.907 | 6.59 | 2.38 | 1,041 |
[
3,
6,
6,
7
] |
[
"7×6-6×3",
"(7+3-6)×6",
"(6/6+7)×3"
] | true | 6.71 | 0.937 | 7.18 | 2.71 | 802 |
[
4,
6,
10,
12
] |
[
"12+10+6-4",
"(10-4)×6-12",
"12×10/4-6",
"12×10/6+4"
] | true | 8.85 | 0.939 | 9.4 | 4.05 | 1,006 |
[
2,
2,
5,
8
] |
[
"(8+5)×2-2"
] | true | 26.55 | 0.632 | 17.21 | 9.35 | 376 |
[
5,
7,
12,
12
] |
[
"12×7-12×5"
] | true | 16.1 | 0.66 | 10.65 | 6.25 | 1,148 |
[
2,
3,
7,
13
] |
[
"7×2+13-3",
"(13+2-7)×3"
] | true | 12.18 | 0.863 | 11.97 | 5.41 | 453 |
[
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 | 570 |
[
1,
8,
9,
11
] |
[
"(11+1-9)×8",
"(9-1)×(11-8)",
"9/(11/8-1)"
] | true | 7.42 | 0.928 | 7.71 | 3.07 | 314 |
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