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
|
|---|---|---|---|---|---|---|---|
[
1,
8,
12,
12
] |
[
"12/(12/8-1)"
] | true | 104.58 | 0.293 | 21.9 | 13.81 | 322 |
[
6,
9,
11,
13
] |
[
"(13-11)×9+6"
] | true | 13.77 | 0.72 | 10.75 | 6.33 | 1,243 |
[
7,
8,
10,
10
] |
[
"(10-8)×7+10"
] | true | 11.82 | 0.792 | 11.02 | 5.21 | 1,273 |
[
2,
3,
5,
13
] |
[
"3×2+13+5",
"13×2+3-5",
"(5-3)×13-2"
] | true | 12.22 | 0.858 | 12.12 | 5.45 | 438 |
[
4,
4,
11,
13
] |
[
"13+11+4-4",
"(13+4-11)×4"
] | true | 5.71 | 0.981 | 6.32 | 2.38 | 940 |
[
1,
3,
11,
11
] |
[
"11+11+3-1"
] | true | 6.29 | 0.972 | 6.7 | 2.44 | 174 |
[
2,
4,
4,
10
] |
[
"(4-2)×10+4",
"10×4/2+4",
"4×4+10-2",
"(10+4)×2-4"
] | true | 12.45 | 0.899 | 12.73 | 5.3 | 479 |
[
2,
6,
11,
12
] |
[
"11×2+12/6",
"12/(6-11/2)",
"12×11/6+2"
] | true | 16.24 | 0.772 | 14.41 | 6.63 | 589 |
[
2,
2,
6,
7
] |
[
"(7+2)×2+6",
"(7+6)×2-2"
] | true | 17.37 | 0.724 | 13.71 | 7.25 | 382 |
[
5,
5,
5,
12
] |
[
"(5+5)×12/5"
] | true | 15.8 | 0.673 | 10.54 | 6.47 | 1,074 |
[
3,
7,
8,
11
] |
[
"7×3+11-8",
"(8-3)×7-11",
"(11-8)×7+3"
] | true | 11.93 | 0.834 | 11.56 | 5.96 | 842 |
[
3,
4,
4,
5
] |
[
"(5+4-3)×4",
"4×4+5+3"
] | true | 9.14 | 0.912 | 9.52 | 4.18 | 716 |
[
3,
6,
8,
10
] |
[
"(10+6-8)×3"
] | true | 18.92 | 0.659 | 12.53 | 7.2 | 817 |
[
1,
1,
4,
12
] |
[
"12×4/(1+1)",
"(4-1-1)×12"
] | true | 5.06 | 0.974 | 5.47 | 1.83 | 29 |
[
4,
8,
8,
13
] |
[
"(13×8-8)/4"
] | true | 88.2 | 0.297 | 25.3 | 14.96 | 1,040 |
[
2,
2,
5,
6
] |
[
"(5-2/2)×6",
"(6+2)×(5-2)",
"(6+5)×2+2"
] | true | 9.16 | 0.885 | 9.47 | 4.58 | 374 |
[
10,
12,
12,
12
] |
[
"12×12-12×10"
] | true | 17.98 | 0.641 | 10.76 | 6.08 | 1,346 |
[
5,
5,
10,
10
] |
[
"5×5-10/10"
] | true | 6.99 | 0.868 | 7.34 | 3.24 | 1,092 |
[
1,
1,
5,
6
] |
[
"(5-1)×6×1",
"(6-1)×5-1"
] | true | 5.17 | 0.97 | 5.64 | 2.04 | 31 |
[
3,
7,
8,
13
] |
[
"(13-7-3)×8",
"13×3-8-7"
] | true | 10.01 | 0.844 | 9.93 | 5.13 | 844 |
[
1,
4,
7,
13
] |
[
"(13-7)×4×1",
"(13+7+4)×1"
] | true | 6.64 | 0.967 | 7.28 | 2.93 | 210 |
[
2,
3,
3,
5
] |
[
"(5+2)×3+3",
"(5×3-3)×2"
] | true | 22.25 | 0.694 | 16.57 | 8.96 | 411 |
[
2,
2,
4,
6
] |
[
"6×4+2-2",
"(4+2)×(6-2)",
"(6+4+2)×2",
"(4-2)×6×2",
"(4/2+2)×6"
] | true | 5.58 | 0.99 | 5.93 | 1.88 | 365 |
[
1,
5,
11,
12
] |
[
"(11-1)×12/5"
] | true | 15.54 | 0.712 | 11.75 | 6.26 | 261 |
[
10,
11,
12,
12
] |
[
"(12+12)×(11-10)",
"(12+10)×12/11"
] | true | 6.06 | 0.961 | 6.36 | 2.1 | 1,344 |
[
1,
4,
10,
11
] |
[
"11+10+4-1"
] | true | 7.76 | 0.95 | 8.24 | 3.22 | 221 |
[
4,
9,
10,
11
] |
[
"(11-9)×10+4"
] | true | 12.76 | 0.767 | 10.96 | 5.86 | 1,057 |
[
3,
3,
4,
7
] |
[
"(7-3/3)×4",
"(7+4-3)×3"
] | true | 7.88 | 0.903 | 8.39 | 3.65 | 673 |
[
1,
6,
8,
11
] |
[
"11+8+6-1",
"(11+1-8)×6",
"(11+1)×(8-6)"
] | true | 6.86 | 0.978 | 7.32 | 2.45 | 277 |
[
1,
2,
4,
4
] |
[
"(4+4)×(2+1)",
"(4+2)×4×1",
"(4-1)×4×2"
] | true | 6 | 0.971 | 6.36 | 2.12 | 70 |
[
2,
3,
4,
13
] |
[
"4×2+13+3",
"(13+3-4)×2",
"(13-3)×2+4"
] | true | 9 | 0.912 | 9.39 | 4.01 | 429 |
[
2,
2,
2,
13
] |
[
"(13-2/2)×2",
"(13-2)×2+2"
] | true | 6.84 | 0.935 | 7.23 | 2.8 | 351 |
[
5,
5,
6,
8
] |
[
"8+6+5+5"
] | true | 16.86 | 0.786 | 15.19 | 6.67 | 1,077 |
[
6,
6,
8,
8
] |
[
"8×6/(8-6)"
] | true | 10.07 | 0.861 | 9.87 | 4.49 | 1,187 |
[
11,
12,
12,
12
] |
[
"12/12+12+11",
"(12+12)×(12-11)"
] | true | 5.44 | 0.979 | 5.77 | 1.88 | 1,354 |
[
1,
10,
11,
12
] |
[
"(11+1-10)×12",
"(11+1)×(12-10)"
] | true | 6.74 | 0.949 | 7.15 | 2.56 | 331 |
[
3,
5,
6,
11
] |
[
"(5×3-11)×6",
"6×3+11-5",
"(11-5)×3+6"
] | true | 13.09 | 0.825 | 12.41 | 6.81 | 774 |
[
1,
7,
9,
13
] |
[
"(7-1)×(13-9)",
"(13-1)×(9-7)"
] | true | 7.35 | 0.939 | 7.63 | 2.61 | 303 |
[
2,
5,
10,
10
] |
[
"(10+2)×10/5",
"(10/5+10)×2"
] | true | 10.8 | 0.787 | 9.94 | 4.23 | 554 |
[
3,
3,
3,
8
] |
[
"8×3+3-3"
] | true | 5.07 | 0.982 | 5.46 | 1.82 | 665 |
[
12,
13,
13,
13
] |
[
"13+12-13/13",
"(13+13)×12/13"
] | true | 6.49 | 0.947 | 6.86 | 2.44 | 1,361 |
[
4,
4,
4,
4
] |
[
"4×4+4+4"
] | true | 6.64 | 0.979 | 7.21 | 2.97 | 899 |
[
1,
4,
6,
7
] |
[
"(7+1-4)×6",
"4/(7/6-1)"
] | true | 8.83 | 0.872 | 9.07 | 4.68 | 198 |
[
1,
1,
13,
13
] |
[
"13+13-1-1"
] | true | 5.14 | 0.994 | 5.46 | 1.64 | 48 |
[
2,
2,
5,
9
] |
[
"(9+5-2)×2"
] | true | 14.53 | 0.739 | 12.14 | 6.46 | 377 |
[
1,
2,
11,
12
] |
[
"12+11+2-1",
"2/(1-11/12)"
] | true | 7.08 | 0.969 | 7.75 | 3.19 | 113 |
[
1,
3,
7,
8
] |
[
"(7-3-1)×8",
"3/(1-7/8)"
] | true | 7.4 | 0.894 | 7.65 | 3.61 | 155 |
[
5,
10,
12,
13
] |
[
"(10+5-13)×12"
] | true | 10.91 | 0.834 | 10.46 | 4.53 | 1,174 |
[
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 | 879 |
[
3,
6,
6,
8
] |
[
"8×3+6-6",
"(8-3)×6-6"
] | true | 5.95 | 0.971 | 6.37 | 2.25 | 803 |
[
1,
6,
7,
9
] |
[
"(7+1)×(9-6)"
] | true | 11.67 | 0.844 | 11.36 | 4.68 | 270 |
[
5,
6,
8,
13
] |
[
"(13+5)×8/6"
] | true | 70.59 | 0.361 | 23.49 | 12.21 | 1,116 |
[
9,
9,
10,
13
] |
[
"9/9+13+10"
] | true | 6.73 | 0.91 | 6.94 | 2.73 | 1,321 |
[
8,
8,
12,
12
] |
[
"12+12+8-8",
"12×8/(12-8)"
] | true | 5.38 | 0.987 | 5.82 | 1.96 | 1,304 |
[
11,
11,
11,
13
] |
[
"13+11+11-11"
] | true | 5.56 | 0.984 | 6.11 | 2.26 | 1,351 |
[
1,
5,
7,
13
] |
[
"13+7+5-1",
"(13-7)×(5-1)",
"(13-1)×(7-5)"
] | true | 6.2 | 0.979 | 6.59 | 2.12 | 244 |
[
6,
9,
10,
12
] |
[
"(10-6)×9-12",
"(12-9)×10-6",
"(12-10)×9+6"
] | true | 13.09 | 0.802 | 11.83 | 6.18 | 1,241 |
[
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 | 1,061 |
[
4,
7,
8,
11
] |
[
"(11-7)×4+8"
] | true | 17.22 | 0.68 | 11.36 | 7 | 1,018 |
[
8,
10,
12,
13
] |
[
"12×10/(13-8)"
] | true | 18.99 | 0.675 | 14.75 | 6.55 | 1,317 |
[
3,
7,
10,
13
] |
[
"7×3+13-10",
"10×3+7-13",
"(13-10)×7+3"
] | true | 9.03 | 0.883 | 9.54 | 4.81 | 852 |
[
2,
2,
2,
5
] |
[
"(5×2+2)×2"
] | true | 10.29 | 0.787 | 9.3 | 4.85 | 344 |
[
3,
3,
5,
5
] |
[
"5×5-3/3"
] | true | 7.6 | 0.895 | 7.87 | 3.24 | 679 |
[
5,
5,
6,
6
] |
[
"(5+5-6)×6",
"5×5-6/6",
"(6-6/5)×5"
] | true | 7.14 | 0.931 | 7.63 | 2.91 | 1,075 |
[
5,
5,
10,
11
] |
[
"5×5+10-11"
] | true | 7.66 | 0.873 | 8 | 3.72 | 1,093 |
[
2,
8,
8,
11
] |
[
"(8/8+11)×2"
] | true | 8.54 | 0.84 | 8.24 | 3.61 | 615 |
[
2,
6,
8,
11
] |
[
"(6+2)×(11-8)",
"(11-6-2)×8",
"11×2+8-6",
"(8-6)×11+2"
] | true | 7.81 | 0.935 | 8.29 | 3.46 | 578 |
[
3,
4,
11,
12
] |
[
"12+11+4-3",
"(11-3)×12/4",
"(11-12/4)×3"
] | true | 7.12 | 0.953 | 7.79 | 3.41 | 759 |
[
2,
6,
7,
12
] |
[
"(7-6)×12×2"
] | true | 7.1 | 0.923 | 7.33 | 3.01 | 573 |
[
1,
5,
7,
12
] |
[
"(7-5)×12×1",
"7×5+1-12",
"(12+7+5)×1",
"(12-7)×5-1"
] | true | 5.35 | 0.983 | 5.89 | 2.1 | 243 |
[
4,
5,
5,
9
] |
[
"5×4+9-5",
"(9-5)×5+4"
] | true | 9.04 | 0.915 | 9.42 | 3.93 | 947 |
[
2,
9,
10,
13
] |
[
"10×2+13-9",
"(13+9-10)×2"
] | true | 8.87 | 0.901 | 9.36 | 4.17 | 638 |
[
3,
4,
6,
12
] |
[
"12×4×3/6",
"(12+6)×4/3",
"(6+3)×4-12",
"(6×3-12)×4",
"(12-4)×(6-3)",
"(6-3)×4+12",
"(4-6/3)×12"
] | true | 9.4 | 0.934 | 9.92 | 4 | 739 |
[
7,
10,
12,
13
] |
[
"(13+7)×12/10"
] | true | 67.34 | 0.376 | 22.94 | 13.2 | 1,291 |
[
2,
2,
8,
8
] |
[
"(2+2)×8-8",
"8×2×2-8",
"(8-2)×8/2",
"(8/2+8)×2"
] | true | 10.62 | 0.913 | 10.93 | 4.78 | 394 |
[
6,
10,
10,
13
] |
[
"(13-10)×10-6"
] | true | 15.32 | 0.689 | 11.43 | 6.41 | 1,247 |
[
1,
2,
2,
9
] |
[
"(9+2+1)×2"
] | true | 10.95 | 0.824 | 10.15 | 4.57 | 54 |
[
5,
5,
13,
13
] |
[
"5×5-13/13"
] | true | 7.22 | 0.854 | 7.42 | 3.23 | 1,100 |
[
6,
6,
6,
9
] |
[
"6×6×6/9",
"(9-6)×6+6"
] | true | 7.64 | 0.899 | 8.15 | 3.98 | 1,179 |
[
1,
2,
10,
11
] |
[
"11+10+2+1"
] | true | 6.35 | 0.976 | 6.71 | 2.4 | 109 |
[
2,
5,
6,
9
] |
[
"6×5/2+9"
] | true | 54.49 | 0.446 | 28.34 | 14.23 | 534 |
[
6,
7,
11,
11
] |
[
"(11-6)×7-11"
] | true | 35.8 | 0.47 | 20.51 | 10.45 | 1,214 |
[
9,
10,
11,
13
] |
[
"(13+11)×(10-9)",
"(13-10)×11-9"
] | true | 8.97 | 0.898 | 9.28 | 3.92 | 1,328 |
[
3,
3,
11,
12
] |
[
"(11-3×3)×12",
"3/3+12+11",
"11×3+3-12"
] | true | 5.69 | 0.948 | 6.13 | 2.23 | 711 |
[
3,
5,
8,
11
] |
[
"(5+3)×(11-8)",
"(11-5-3)×8",
"(11-3)×(8-5)",
"(11+5-8)×3"
] | true | 7.96 | 0.894 | 8.22 | 3.51 | 785 |
[
2,
6,
9,
9
] |
[
"(9+9-6)×2",
"(6/9+2)×9"
] | true | 29.42 | 0.575 | 15.56 | 9.18 | 581 |
[
8,
9,
9,
12
] |
[
"9×8/(12-9)"
] | true | 11.79 | 0.826 | 11.1 | 4.78 | 1,306 |
[
5,
10,
10,
12
] |
[
"12×10/(10-5)",
"10/5+12+10"
] | true | 9.25 | 0.87 | 9.19 | 3.62 | 1,171 |
[
4,
6,
8,
13
] |
[
"(13-6-4)×8"
] | true | 12.14 | 0.804 | 11.21 | 5.26 | 999 |
[
2,
3,
7,
7
] |
[
"7×2+7+3"
] | true | 17.36 | 0.769 | 15.58 | 6.71 | 447 |
[
1,
3,
9,
13
] |
[
"13+9+3-1"
] | true | 8.79 | 0.939 | 9.42 | 4.17 | 170 |
[
4,
4,
7,
8
] |
[
"7×4+4-8",
"(8-4)×7-4"
] | true | 12.93 | 0.839 | 12.63 | 5.75 | 923 |
[
3,
5,
7,
9
] |
[
"9+7+5+3",
"9×5-7×3",
"(5-7/3)×9",
"(9+3)×(7-5)"
] | true | 11.95 | 0.86 | 11.7 | 4.99 | 778 |
[
1,
4,
7,
12
] |
[
"12+7+4+1",
"(7-4-1)×12",
"(7+1)×12/4",
"(12+1-7)×4"
] | true | 5.59 | 0.984 | 6.01 | 2.04 | 209 |
[
2,
4,
4,
13
] |
[
"(13-4/4)×2",
"(13×4-4)/2"
] | true | 7.75 | 0.856 | 7.86 | 3.55 | 482 |
[
1,
3,
5,
8
] |
[
"(5+1-3)×8",
"5×3+8+1",
"(8-3)×5-1"
] | true | 6.59 | 0.953 | 7.28 | 2.99 | 140 |
[
11,
11,
11,
12
] |
[
"(11+11)×12/11",
"11/11+12+11"
] | true | 5.33 | 0.95 | 5.62 | 1.98 | 1,350 |
[
3,
3,
9,
11
] |
[
"(11-3)×9/3",
"(11-9/3)×3"
] | true | 14.3 | 0.796 | 13.31 | 5.83 | 707 |
[
1,
4,
6,
8
] |
[
"(6+1-4)×8",
"(8-4)×6×1",
"8/(1-4/6)"
] | true | 6.3 | 0.949 | 6.68 | 2.56 | 199 |
[
2,
2,
2,
8
] |
[
"(8-2)×(2+2)",
"(8+2+2)×2",
"(8-2)×2×2",
"(2×2+8)×2",
"(2/2+2)×8"
] | true | 6.29 | 0.964 | 6.86 | 2.72 | 346 |
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