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Using the numbers 1,2,7,7, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7Γ—7-1)/2" ]
[ 1, 2, 7, 7 ]
0.548
18.13
10.73
1
Using the numbers 1,2,9,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(2+1)Γ—11-9" ]
[ 1, 2, 9, 11 ]
0.448
23.76
13.21
2
Using the numbers 1,3,4,6, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "6/(1-3/4)" ]
[ 1, 3, 4, 6 ]
0.268
20.65
13.17
3
Using the numbers 1,3,9,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10+1)Γ—3-9" ]
[ 1, 3, 9, 10 ]
0.411
24.03
13.23
4
Using the numbers 1,4,5,6, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "6/(5/4-1)", "4/(1-5/6)" ]
[ 1, 4, 5, 6 ]
0.287
19.49
12.95
5
Using the numbers 1,4,6,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(4-1)Γ—10-6" ]
[ 1, 4, 6, 10 ]
0.556
20.04
10.17
6
Using the numbers 1,4,7,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(4+1)Γ—7-11" ]
[ 1, 4, 7, 11 ]
0.36
31.17
17.26
7
Using the numbers 1,5,5,5, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5-1/5)Γ—5" ]
[ 1, 5, 5, 5 ]
0.434
12.55
7.76
8
Using the numbers 1,5,11,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11Γ—11-1)/5" ]
[ 1, 5, 11, 11 ]
0.436
17.17
10.45
9
Using the numbers 1,6,6,8, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "6/(1-6/8)" ]
[ 1, 6, 6, 8 ]
0.283
23.61
15.03
10
Using the numbers 1,6,11,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—11+1)/6" ]
[ 1, 6, 11, 13 ]
0.385
19.72
10.9
11
Using the numbers 1,7,12,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+1)Γ—12/7" ]
[ 1, 7, 12, 13 ]
0.558
15.69
9.56
12
Using the numbers 1,7,13,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—13-1)/7" ]
[ 1, 7, 13, 13 ]
0.412
14.87
9.19
13
Using the numbers 1,8,12,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12/(12/8-1)" ]
[ 1, 8, 12, 12 ]
0.293
21.9
13.81
14
Using the numbers 2,2,3,5, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5Γ—2-2)Γ—3" ]
[ 2, 2, 3, 5 ]
0.511
16.11
9.45
15
Using the numbers 2,2,3,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10+3)Γ—2-2" ]
[ 2, 2, 3, 10 ]
0.547
18.71
10.73
16
Using the numbers 2,2,6,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(6/2+9)Γ—2", "(9Γ—2-6)Γ—2" ]
[ 2, 2, 6, 9 ]
0.516
19
10.81
17
Using the numbers 2,2,6,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+2)Γ—2-6" ]
[ 2, 2, 6, 13 ]
0.334
31.47
17.1
18
Using the numbers 2,2,7,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10/2+7)Γ—2" ]
[ 2, 2, 7, 10 ]
0.532
17.19
9.45
19
Using the numbers 2,2,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11Γ—2-10)Γ—2" ]
[ 2, 2, 10, 11 ]
0.308
26.78
17.49
20
Using the numbers 2,2,11,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(2/11+2)Γ—11" ]
[ 2, 2, 11, 11 ]
0.396
14.07
9.37
21
Using the numbers 2,2,13,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(2-2/13)Γ—13" ]
[ 2, 2, 13, 13 ]
0.368
15.35
9.38
22
Using the numbers 2,3,5,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12/(3-5/2)" ]
[ 2, 3, 5, 12 ]
0.204
30.77
22.95
23
Using the numbers 2,3,7,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+7)Γ—3/2", "(7-2)Γ—3+9", "(7Γ—3-9)Γ—2" ]
[ 2, 3, 7, 9 ]
0.581
18.73
10.41
24
Using the numbers 2,3,8,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+3)Γ—2-8" ]
[ 2, 3, 8, 13 ]
0.316
24.58
13.57
25
Using the numbers 2,3,13,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "13Γ—3-13-2" ]
[ 2, 3, 13, 13 ]
0.587
18.45
9.93
26
Using the numbers 2,4,5,5, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5+5)Γ—2+4" ]
[ 2, 4, 5, 5 ]
0.598
15.79
8.59
27
Using the numbers 2,4,7,7, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7+7)Γ—2-4" ]
[ 2, 4, 7, 7 ]
0.512
17.72
9.75
28
Using the numbers 2,4,7,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7+2)Γ—4-12", "12/(4-7/2)" ]
[ 2, 4, 7, 12 ]
0.275
31.26
18.75
29
Using the numbers 2,4,10,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(4/10+2)Γ—10" ]
[ 2, 4, 10, 10 ]
0.26
30.52
19.71
30
Using the numbers 2,4,11,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11-2)Γ—4-12" ]
[ 2, 4, 11, 12 ]
0.399
25.01
14.65
31
Using the numbers 2,5,5,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5-2/10)Γ—5" ]
[ 2, 5, 5, 10 ]
0.216
24.53
17.32
32
Using the numbers 2,5,6,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "6Γ—5/2+9" ]
[ 2, 5, 6, 9 ]
0.446
28.34
14.23
33
Using the numbers 2,5,7,8, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5Γ—2-7)Γ—8" ]
[ 2, 5, 7, 8 ]
0.334
28.84
16.25
34
Using the numbers 2,5,7,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "7Γ—5-9-2" ]
[ 2, 5, 7, 9 ]
0.532
24.02
10.62
35
Using the numbers 2,5,8,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5Γ—2-8)Γ—12", "(8+2)Γ—12/5" ]
[ 2, 5, 8, 12 ]
0.546
18.65
10.33
36
Using the numbers 2,5,12,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12/2+13+5", "(13+5)Γ—2-12" ]
[ 2, 5, 12, 13 ]
0.582
22.49
10.09
37
Using the numbers 2,6,9,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+9-6)Γ—2", "(6/9+2)Γ—9" ]
[ 2, 6, 9, 9 ]
0.575
15.56
9.18
38
Using the numbers 2,7,7,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10/7+2)Γ—7" ]
[ 2, 7, 7, 10 ]
0.276
28.11
13.67
39
Using the numbers 2,7,8,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+7)Γ—2-8" ]
[ 2, 7, 8, 9 ]
0.387
19.6
12.12
40
Using the numbers 2,9,13,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+9)/2+13" ]
[ 2, 9, 13, 13 ]
0.251
32.13
19.96
41
Using the numbers 3,3,5,7, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5Γ—3-7)Γ—3" ]
[ 3, 3, 5, 7 ]
0.294
30.91
19.93
42
Using the numbers 3,3,6,6, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(6/3+6)Γ—3" ]
[ 3, 3, 6, 6 ]
0.575
14.99
9.07
43
Using the numbers 3,3,7,7, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(3/7+3)Γ—7" ]
[ 3, 3, 7, 7 ]
0.407
13.53
8.22
44
Using the numbers 3,3,7,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7Γ—3-13)Γ—3" ]
[ 3, 3, 7, 13 ]
0.273
33.82
19.64
45
Using the numbers 3,3,8,8, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "8/(3-8/3)" ]
[ 3, 3, 8, 8 ]
0.3
16.49
11.42
46
Using the numbers 3,4,6,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+3)Γ—6/4", "6/(13/4-3)" ]
[ 3, 4, 6, 13 ]
0.402
21.05
12.26
47
Using the numbers 3,5,7,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—5+7)/3" ]
[ 3, 5, 7, 13 ]
0.236
41.1
22.81
48
Using the numbers 3,5,8,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5Γ—3-12)Γ—8", "(12+3)Γ—8/5" ]
[ 3, 5, 8, 12 ]
0.387
28.51
13.81
49
Using the numbers 3,5,8,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "8Γ—5-13-3" ]
[ 3, 5, 8, 13 ]
0.426
31.55
14.74
50
Using the numbers 3,5,10,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10-10/5)Γ—3" ]
[ 3, 5, 10, 10 ]
0.54
13.48
7.51
51
Using the numbers 3,6,6,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(6-3)Γ—10-6" ]
[ 3, 6, 6, 10 ]
0.501
19.28
11.18
52
Using the numbers 3,6,6,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11Γ—6+6)/3" ]
[ 3, 6, 6, 11 ]
0.273
26.72
16.9
53
Using the numbers 3,6,7,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "7Γ—6/3+10" ]
[ 3, 6, 7, 10 ]
0.575
22.71
10.92
54
Using the numbers 3,7,9,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "9Γ—7-13Γ—3", "(7-13/3)Γ—9" ]
[ 3, 7, 9, 13 ]
0.26
40.42
22.14
55
Using the numbers 3,8,8,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10Γ—8-8)/3" ]
[ 3, 8, 8, 10 ]
0.292
27.55
17.63
56
Using the numbers 3,8,10,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12Γ—10/(8-3)" ]
[ 3, 8, 10, 12 ]
0.54
21.25
11.09
57
Using the numbers 3,9,11,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+3)Γ—(13-11)" ]
[ 3, 9, 11, 13 ]
0.571
14.52
8.75
58
Using the numbers 4,4,7,7, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(4-4/7)Γ—7" ]
[ 4, 4, 7, 7 ]
0.392
15.64
9.07
59
Using the numbers 4,4,7,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "13Γ—4-7Γ—4" ]
[ 4, 4, 7, 13 ]
0.536
15.61
9.66
60
Using the numbers 4,4,10,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10Γ—10-4)/4" ]
[ 4, 4, 10, 10 ]
0.397
14.21
9.64
61
Using the numbers 4,5,6,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11+5)Γ—6/4" ]
[ 4, 5, 6, 11 ]
0.381
20.05
11.42
62
Using the numbers 4,5,6,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(6+4)Γ—12/5" ]
[ 4, 5, 6, 12 ]
0.439
22.08
16.11
63
Using the numbers 4,6,6,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10+6)Γ—6/4" ]
[ 4, 6, 6, 10 ]
0.4
23.53
13.1
64
Using the numbers 4,6,7,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+7)Γ—6/4" ]
[ 4, 6, 7, 9 ]
0.421
20.42
12.69
65
Using the numbers 4,7,9,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7-4)Γ—11-9", "(9-4)Γ—7-11" ]
[ 4, 7, 9, 11 ]
0.523
23.35
11.52
66
Using the numbers 4,7,11,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "11Γ—4-13-7" ]
[ 4, 7, 11, 13 ]
0.377
31.97
16.68
67
Using the numbers 4,8,8,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11Γ—8+8)/4" ]
[ 4, 8, 8, 11 ]
0.298
24.47
14.91
68
Using the numbers 4,8,8,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—8-8)/4" ]
[ 4, 8, 8, 13 ]
0.297
25.3
14.96
69
Using the numbers 4,9,11,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "11Γ—4-11-9" ]
[ 4, 9, 11, 11 ]
0.445
26.12
14.27
70
Using the numbers 4,10,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "11Γ—4-10-10" ]
[ 4, 10, 10, 11 ]
0.546
19.85
9.39
71
Using the numbers 5,5,7,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(7-11/5)Γ—5" ]
[ 5, 5, 7, 11 ]
0.266
27.68
14.77
72
Using the numbers 5,5,8,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "8Γ—5-11-5" ]
[ 5, 5, 8, 11 ]
0.468
25.02
11.4
73
Using the numbers 5,6,6,9, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "9Γ—6-6Γ—5" ]
[ 5, 6, 6, 9 ]
0.595
14.88
9.1
74
Using the numbers 5,6,8,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+5)Γ—8/6" ]
[ 5, 6, 8, 13 ]
0.361
23.49
12.21
75
Using the numbers 5,6,9,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11+9)Γ—6/5", "(11+5)Γ—9/6" ]
[ 5, 6, 9, 11 ]
0.334
27.08
15.22
76
Using the numbers 5,7,7,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(5-11/7)Γ—7" ]
[ 5, 7, 7, 11 ]
0.275
26.22
13.42
77
Using the numbers 5,7,9,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(9+5)Γ—12/7" ]
[ 5, 7, 9, 12 ]
0.396
18.45
11.83
78
Using the numbers 5,7,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10-5)Γ—7-11" ]
[ 5, 7, 10, 11 ]
0.362
25.09
14.01
79
Using the numbers 5,8,9,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "9Γ—5-13-8" ]
[ 5, 8, 9, 13 ]
0.363
34.82
16.79
80
Using the numbers 5,9,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "9Γ—5-11-10" ]
[ 5, 9, 10, 11 ]
0.426
29.23
14.1
81
Using the numbers 5,10,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11Γ—10+10)/5" ]
[ 5, 10, 10, 11 ]
0.416
15.46
7.54
82
Using the numbers 5,10,10,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—10-10)/5" ]
[ 5, 10, 10, 13 ]
0.39
17.43
8.13
83
Using the numbers 6,6,7,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "11Γ—6-7Γ—6" ]
[ 6, 6, 7, 11 ]
0.581
13.95
8.68
84
Using the numbers 6,6,9,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "13Γ—6-9Γ—6" ]
[ 6, 6, 9, 13 ]
0.538
14.15
9.07
85
Using the numbers 6,7,7,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "7Γ—6-11-7" ]
[ 6, 7, 7, 11 ]
0.43
28.85
15.28
86
Using the numbers 6,7,8,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(8+6)Γ—12/7" ]
[ 6, 7, 8, 12 ]
0.405
18.06
13.1
87
Using the numbers 6,7,11,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11-6)Γ—7-11" ]
[ 6, 7, 11, 11 ]
0.47
20.51
10.45
88
Using the numbers 6,9,9,10, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "10Γ—9/6+9" ]
[ 6, 9, 9, 10 ]
0.328
34.74
19.4
89
Using the numbers 6,11,12,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(12Γ—11+12)/6" ]
[ 6, 11, 12, 12 ]
0.357
16.59
9.98
90
Using the numbers 6,12,12,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13Γ—12-12)/6" ]
[ 6, 12, 12, 13 ]
0.376
15.89
9.01
91
Using the numbers 7,8,8,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+8)Γ—8/7" ]
[ 7, 8, 8, 13 ]
0.298
27.73
15.99
92
Using the numbers 7,8,9,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(12+9)Γ—8/7", "(9+7)Γ—12/8" ]
[ 7, 8, 9, 12 ]
0.482
16.76
10.32
93
Using the numbers 7,8,10,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11+10)Γ—8/7" ]
[ 7, 8, 10, 11 ]
0.299
26.05
15.84
94
Using the numbers 7,9,11,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11+7)Γ—12/9", "(11-7)Γ—9-12" ]
[ 7, 9, 11, 12 ]
0.503
18.63
10.96
95
Using the numbers 7,10,12,13, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(13+7)Γ—12/10" ]
[ 7, 10, 12, 13 ]
0.376
22.94
13.2
96
Using the numbers 8,8,9,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12Γ—8-9Γ—8" ]
[ 8, 8, 9, 12 ]
0.568
13.14
7.83
97
Using the numbers 8,9,10,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(10+8)Γ—12/9", "12Γ—10/8+9" ]
[ 8, 9, 10, 12 ]
0.431
23.06
14.34
98
Using the numbers 8,9,11,11, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "(11-8)Γ—11-9" ]
[ 8, 9, 11, 11 ]
0.584
16.62
8.85
99
Using the numbers 9,11,12,12, construct a valid arithmetic expression that evaluates exactly to 24. You can use basic arithmetic operations (+, -, *, /) and each of the provided numbers must be used exactly once. In the final output, do not include β€œ=24”. Respond the final answer with exactly one line containing only the expression. Example: Numbers: 2, 2, 6, 9 Answer: <Final_answer> 2 * (9 + (6 / 2)) </Final_answer>
[ "12Γ—11-12Γ—9" ]
[ 9, 11, 12, 12 ]
0.593
11.02
6.56
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