numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 29
17.1k
| completion_token
int64 27
15.4k
| prompt_token
int64 120
6.15k
| text
stringlengths 660
17.7k
|
|---|---|---|---|---|---|---|
[
31,
30,
34,
9
] | 81 |
1189
|
{
"formula": '30*(34-31)-9=81'
}
| 1,741 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 31, 30, 34, 9,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '30*(34-31)-9=81'
}<|im_end|>
|
[
6,
65,
57,
4
] | 12 |
1204
|
{
"formula": '(65 - 57) * (6 / 4)'
}
| 1,124 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 65, 57, 4,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(65 - 57) * (6 / 4)'
}<|im_end|>
|
[
30,
42,
42,
48
] | 77 |
1164
|
{
"formula": '(30 + 48) - (42 / 42)'
}
| 1,985 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 42, 42, 48,
target: 77
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 77',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(30 + 48) - (42 / 42)'
}<|im_end|>
|
[
28,
26,
70,
44
] | 60 |
1205
|
{
"formula": '70 + 44 - 26 - 28'
}
| 2,565 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 26, 70, 44,
target: 60
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 60',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '70 + 44 - 26 - 28'
}<|im_end|>
|
[
51,
5,
4,
60
] | 91 |
1198
|
{
"formula": '51 + (60 - (5 * 4))'
}
| 809 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 5, 4, 60,
target: 91
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 91',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '51 + (60 - (5 * 4))'
}<|im_end|>
|
[
37,
43,
92,
33
] | 20 |
1185
|
{
"formula": '43 - (92 / (37 - 33))',
}
| 1,435 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 37, 43, 92, 33,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '43 - (92 / (37 - 33))',
}<|im_end|>
|
[
17,
24,
86,
100
] | 72 |
1208
|
{
"formula": '(17 + (86 - 100)) * 24'
}
| 3,185 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 17, 24, 86, 100,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(17 + (86 - 100)) * 24'
}<|im_end|>
|
[
1,
16,
7,
6
] | 73 |
1161
|
{
"formula": '16*(6-1)-7'
}
| 2,624 | 121 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 16, 7, 6,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '16*(6-1)-7'
}<|im_end|>
|
[
30,
93,
5,
29
] | 28 |
1211
|
{
"formula": '(30 * 5) - 93 - 29',
}
| 1,468 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 93, 5, 29,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(30 * 5) - 93 - 29',
}<|im_end|>
|
[
59,
87,
12,
26
] | 66 |
1173
|
{
"formula": '26 + 12 + 87 - 59',
}
| 2,409 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 59, 87, 12, 26,
target: 66
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 66',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '26 + 12 + 87 - 59',
}<|im_end|>
|
[
3,
81,
93,
66
] | 62 |
1166
|
{
"formula": '66 - ((93 - 81) / 3) = 62'
}
| 2,573 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 3, 81, 93, 66,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '66 - ((93 - 81) / 3) = 62'
}<|im_end|>
|
[
3,
41,
5,
19
] | 44 |
1175
|
{
"formula": '(41 - 19) * (5 - 3)'
}
| 2,584 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 3, 41, 5, 19,
target: 44
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 44',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(41 - 19) * (5 - 3)'
}<|im_end|>
|
[
53,
76,
3,
67
] | 24 |
822
|
≈5.88, not helpful.
Alternatively, 67 - 53 =14. Then 76 -14 =62. 62 and 3 left. 62-3=59. Not helpful.
Wait, maybe using multiplication and division. Let's see. 3*(something) =24 → something is 8. How to get 8 from 53,76,67. Maybe (76 - 67) is 9, then 9 -1=8. But where to get 1? 53 divided by 53 is 1, but I can't use 53 again. Hmm.
Alternatively, 67 - (53 + 76) is negative, not helpful.
Wait, maybe (76 - (67 -3)) = 76 -64 =12. Then 12 *2 =24, but where to get 2? Not sure.
Alternatively, 53 - (76 - 67) =53 -9=44. Then 44 +3=47. Not helpful.
Hmm, maybe trying division. Let's see, 76 divided by (something) to get a fraction. Like 76/(something) plus another number.
Wait, 3*(67 - 53) =3*(14)=42. Then 42 - 76 + something? Not sure.
Alternatively, (53 - 3) =50. Then 76 -50 =26. 26 and 67 left. 26 + (67 - something). Not helpful.
Wait, maybe 67 - 53 =14. Then 14 * (76 / something). 76 divided by... 76/ something to get 2, so 14*2=28. Not 24.
Hmm, maybe (76 - 53) is 23, then 23 + (67 - 43) but I don't have 43.
Alternatively, 3*(67 - (53 +76))? Let's see, 53+76=129, 67-129 is -62, 3*(-62) is -186. No.
Wait, maybe (53 + 67) =120. 120 - 76 =44. 44 - 3=41. Not helpful.
Hmm, maybe I need to use division. Let's see, 76 divided by (something). Let's see, 76/(something) plus another number.
Wait, 53 - (67 -3) =53-64= -11. Then -11 +76=65. Not helpful.
Alternatively, (67 - 53) =14. 14* (something). 14* ( (76 - something)/something else).
Wait, 14*( (76 - 3)/53 )? That would be 14*(73/53) which is not integer.
Hmm, maybe trying a different combination. Let's see, 3* (something) =24 → 8. So how to get 8 from 53,76,67.
Wait, 76 divided by (67 - 53) is 76/14 ≈5.428. Not 8.
Alternatively, (76 - (67 -3)) =76-64=12. Then 12 *2=24. But where to get 2? Maybe 53 divided by something? 53/(something) to get 2? 53/26.5, but that's not an integer.
Hmm, maybe (53 - 67) =-14. Then -14 +76=62. 62 -3=59. Not helpful.
Wait, maybe (76 - 3) =73. Then 73 -53=20. 20 +67=87. No.
Alternatively, 67 - (76 -3) =67-73= -6. Then -6 +53=47.
Hmm, this is tough. Maybe I need to use division in a clever way. Let's see, 53 divided by something.
Wait, 76 divided by (something) plus another number. Let's see, 76/(something) + something else.
Wait, 3*( (76 - 53)/ (67 - something) ). Not sure.
Alternatively, (53 + 3) =56. 56 and 76,67 left. 76 -56=20. 20 +67=87.
Hmm. Maybe trying to get 24 via 6*4, 12*2, 24*1, etc.
Wait, 6*4=24. How to get 6 and 4 from the numbers. Let's see, 67-61=6, but where to get 61?
Alternatively, 76-70=6. 70 could be 53+17, but not sure.
Alternatively, 3*(something) =24 → 8. Let me think again.
Wait, 67 - 53 =14. 76 divided by 14 is about 5.428. Not helpful.
Wait, 3*(67 - (53 +76))? Wait that would be 3*(67-129)=3*(-62)= -186. No.
Hmm, maybe (76 - (67 -3)) * (53 / something). Wait, 76 -64=12. 12*(53/ something). 53 divided by, say, 53/4.333? Not helpful.
Alternatively, (53 - 3) =50. 76 -50=26. 26 and 67 left. 67-26=41.
Hmm, maybe (67 - (76 -3)) * (53 / something). 67-73= -6. -6*(53/x). Not helpful.
Wait, maybe (53 + 76) =129. 129 -67=62. 62 -3=59.
Hmm, maybe I'm missing something. Let me try all possible combinations step by step.
The numbers are 53,76,3,67. Let's list all possible pairs and operations.
First, pick two numbers and combine them with +, -, *, /, then proceed with the remaining two.
Let me try 53 and 3 first.
53 +3 =56. Then remaining numbers 76 and 67.
Possible operations with 56,76,67.
Wait, but after combining 53+3=56, the remaining numbers are 76 and 67. So then, how to combine 56,76,67 into 24?
Hmm, 76-67=9. Then 56-9=47. Not 24.
Alternatively, 56 +76=132, 132-67=65.
Alternatively, 56* (76/67) but that's fractions.
Alternatively, 56 - (76 -67)=56-9=47.
Hmm, not helpful.
Alternatively, 53-3=50. Then remaining 76 and 67.
50 + (76-67)=50+9=59.
50*(76/67) ≈57.6. Not 24.
Hmm.
Alternatively, 53*3=159. Then remaining 76 and 67.
159 - (76+67)=159-143=16.
159 -76=83, 83-67=16.
Not helpful.
53/3≈17.666. Not useful.
Hmm, maybe 76 and 3 first.
76+3=79. Remaining 53 and 67.
79 - (67+53)=79-120= -41.
79 -67=12, 12*53=636. No.
Alternatively, 76-3=73. Then 73 and 53,67.
73-53=20, 20+67=87.
Hmm.
76*3=228. Then 228 - (53+67)=228-120=108.
228 divided by something? 228/ (53+67)=228/120=1.9. Not helpful.
Hmm.
Alternatively, 76/3≈25.333. Not helpful.
Hmm, maybe 67 and 3.
67+3=70. Remaining 53 and76.
70 - (76-53)=70-23=47.
70 +53=123, 123-76=47.
Hmm.
67-3=64. Then 64 and 53,76.
64+53=117, 117-76=41.
64* (76/53) ≈ 64*1.433≈91.5.
Hmm.
67*3=201. Then 201 - (53+76)=201-129=72.
201 divided by something? 201/ (53+76)=201/129≈1.55.
Hmm.
Alternatively, 67/3≈22.333. Not helpful.
Hmm, maybe trying three numbers first. Let's see.
Take 53,76,3. Let's see if combining them can get something useful.
53+76+3=132. Then 132-67=65.
53+76=129. 129-3=126. 126-67=59.
Hmm.
Alternatively, 53*3=159. 159-76=83. 83-67=16.
Hmm.
Alternatively, 76-53=23. 23+3=26. 26 and 67 left. 26* (something). 26*(67/ something).
Wait, 26*(67 - x) but not sure.
Alternatively, 26 + (67 - y).
Hmm, 26 + (67 - 53)=26+14=40.
Hmm.
Wait, maybe (76 -53)=23. Then 23 +3=26. Then 26 - (67 - something). Wait, but I can't reuse numbers.
Alternatively, 23*(something). 23*(67/ something).
Hmm, 23*(67/ (something)).
Wait, 23*(67/(53))? 23*(67/53) ≈23*1.264≈29.07. Not 24.
Hmm.
Alternatively, 67 - (76 -53)=67-23=44. Then 44 -3=41.
Hmm.
Wait, maybe (53 - (76 -67)) *3. Let's see, 76-67=9. 53-9=44. 44*3=132. Not 24.
Hmm.
Alternatively, (67 - (53 +3)) * (76/something). 67-56=11. 11*(76/x).
Hmm.
Wait, maybe (76 / (67 -53)) *3. Let's see, 67-53=14. 76/14≈5.428. 5.428*3≈16.28. Not 24.
Hmm.
Wait, perhaps (53 - (67 -3)) * (76/something). 67-3=64. 53-64= -11. -11*(76/x).
Hmm, not helpful.
Hmm, maybe trying division in a different way. Let's see, 76 divided by (something) to get a fraction that can be multiplied.
Wait, 53 divided by (something). Let's see, 53/(76-67)=53/9≈5.888.
Hmm.
Alternatively, (76 - (53 +3)) * (67/something). 76-56=20. 20*(67/x).
Hmm.
Wait, maybe (67 - 53) =14. 14* (something). 14*( (76 -3)/something).
Wait, 76-3=73. 73 divided by something. 73/53≈1.377. 14*1.377≈19.28. Not 24.
Hmm.
Alternatively, (53 + 67) =120. 120 -76=44. 44 -3=41.
Hmm.
Wait, maybe (76 - (67 -3)) * (53/something). 67-3=64. 76-64=12. 12*(53/x).
Hmm, 12*(53/ something). If I can get 53 divided by something to be 2, then 12*2=24.
So 53 divided by (something) =2 → something is 26.5. But I have 53, so 53 divided by (something) to get 2.
Wait, 53 divided by (something) =2 → something is 26.5. But I don't have 26.5.
Alternatively, maybe (53 - something)/something else.
Hmm, this is getting frustrating. Maybe I need to try a different approach. Let me list all possible permutations and see.
The numbers are 53,76,3,67. Let's see all possible operations step by step.
First, pick any two numbers and combine them. Let's try all possibilities.
Option 1: Combine 53 and 76 first.
53+76=129. Remaining numbers:3,67.
Now, with 129,3,67.
Possible operations:
129+3+67=200.
129+3=132-67=65.
129-3=126-67=59.
129-67=62-3=59.
129*3=387/67≈5.77.
129/3=43-67= -24. Wait, 129 divided by 3 is 43. Then 43 -67= -24. Oh! Wait, that's -24. But the target is 24. So if I do 67 - (129/3) =67-43=24.
Wait, let me check that again.
If I first do 53+76=129. Then, take 129 divided by 3 gives 43. Then 67 minus 43 is 24.
So the formula would be 67 - ( (53 +76)/3 ) = 67 - (129/3) =67-43=24.
Yes! That works.
Wait, let me verify the steps again.
First, add 53 and76: 53+76=129.
Then divide that by3: 129/3=43.
Then subtract that from67: 67-43=24.
Yes, that uses all numbers exactly once: 53,76,3,67.
So the formula is 67 - (53 +76)/3 =24.
Alternatively written as (67) - ((53 +76)/3) =24.
So the equation would be 67 - (53 + 76)/3 =24.
Let me check the arithmetic again:
53+76 is 129. Divided by3 is 43. 67 minus43 is indeed24.
Yes! That works.
So the formula is 67 - (53 + 76)/3 =24.
I think that's the solution.
{
"formula": '67 - (53 + 76)/3 = 24'
}
| 4,565 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 53, 76, 3, 67,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
≈5.88, not helpful.
Alternatively, 67 - 53 =14. Then 76 -14 =62. 62 and 3 left. 62-3=59. Not helpful.
Wait, maybe using multiplication and division. Let's see. 3*(something) =24 → something is 8. How to get 8 from 53,76,67. Maybe (76 - 67) is 9, then 9 -1=8. But where to get 1? 53 divided by 53 is 1, but I can't use 53 again. Hmm.
Alternatively, 67 - (53 + 76) is negative, not helpful.
Wait, maybe (76 - (67 -3)) = 76 -64 =12. Then 12 *2 =24, but where to get 2? Not sure.
Alternatively, 53 - (76 - 67) =53 -9=44. Then 44 +3=47. Not helpful.
Hmm, maybe trying division. Let's see, 76 divided by (something) to get a fraction. Like 76/(something) plus another number.
Wait, 3*(67 - 53) =3*(14)=42. Then 42 - 76 + something? Not sure.
Alternatively, (53 - 3) =50. Then 76 -50 =26. 26 and 67 left. 26 + (67 - something). Not helpful.
Wait, maybe 67 - 53 =14. Then 14 * (76 / something). 76 divided by... 76/ something to get 2, so 14*2=28. Not 24.
Hmm, maybe (76 - 53) is 23, then 23 + (67 - 43) but I don't have 43.
Alternatively, 3*(67 - (53 +76))? Let's see, 53+76=129, 67-129 is -62, 3*(-62) is -186. No.
Wait, maybe (53 + 67) =120. 120 - 76 =44. 44 - 3=41. Not helpful.
Hmm, maybe I need to use division. Let's see, 76 divided by (something). Let's see, 76/(something) plus another number.
Wait, 53 - (67 -3) =53-64= -11. Then -11 +76=65. Not helpful.
Alternatively, (67 - 53) =14. 14* (something). 14* ( (76 - something)/something else).
Wait, 14*( (76 - 3)/53 )? That would be 14*(73/53) which is not integer.
Hmm, maybe trying a different combination. Let's see, 3* (something) =24 → 8. So how to get 8 from 53,76,67.
Wait, 76 divided by (67 - 53) is 76/14 ≈5.428. Not 8.
Alternatively, (76 - (67 -3)) =76-64=12. Then 12 *2=24. But where to get 2? Maybe 53 divided by something? 53/(something) to get 2? 53/26.5, but that's not an integer.
Hmm, maybe (53 - 67) =-14. Then -14 +76=62. 62 -3=59. Not helpful.
Wait, maybe (76 - 3) =73. Then 73 -53=20. 20 +67=87. No.
Alternatively, 67 - (76 -3) =67-73= -6. Then -6 +53=47.
Hmm, this is tough. Maybe I need to use division in a clever way. Let's see, 53 divided by something.
Wait, 76 divided by (something) plus another number. Let's see, 76/(something) + something else.
Wait, 3*( (76 - 53)/ (67 - something) ). Not sure.
Alternatively, (53 + 3) =56. 56 and 76,67 left. 76 -56=20. 20 +67=87.
Hmm. Maybe trying to get 24 via 6*4, 12*2, 24*1, etc.
Wait, 6*4=24. How to get 6 and 4 from the numbers. Let's see, 67-61=6, but where to get 61?
Alternatively, 76-70=6. 70 could be 53+17, but not sure.
Alternatively, 3*(something) =24 → 8. Let me think again.
Wait, 67 - 53 =14. 76 divided by 14 is about 5.428. Not helpful.
Wait, 3*(67 - (53 +76))? Wait that would be 3*(67-129)=3*(-62)= -186. No.
Hmm, maybe (76 - (67 -3)) * (53 / something). Wait, 76 -64=12. 12*(53/ something). 53 divided by, say, 53/4.333? Not helpful.
Alternatively, (53 - 3) =50. 76 -50=26. 26 and 67 left. 67-26=41.
Hmm, maybe (67 - (76 -3)) * (53 / something). 67-73= -6. -6*(53/x). Not helpful.
Wait, maybe (53 + 76) =129. 129 -67=62. 62 -3=59.
Hmm, maybe I'm missing something. Let me try all possible combinations step by step.
The numbers are 53,76,3,67. Let's list all possible pairs and operations.
First, pick two numbers and combine them with +, -, *, /, then proceed with the remaining two.
Let me try 53 and 3 first.
53 +3 =56. Then remaining numbers 76 and 67.
Possible operations with 56,76,67.
Wait, but after combining 53+3=56, the remaining numbers are 76 and 67. So then, how to combine 56,76,67 into 24?
Hmm, 76-67=9. Then 56-9=47. Not 24.
Alternatively, 56 +76=132, 132-67=65.
Alternatively, 56* (76/67) but that's fractions.
Alternatively, 56 - (76 -67)=56-9=47.
Hmm, not helpful.
Alternatively, 53-3=50. Then remaining 76 and 67.
50 + (76-67)=50+9=59.
50*(76/67) ≈57.6. Not 24.
Hmm.
Alternatively, 53*3=159. Then remaining 76 and 67.
159 - (76+67)=159-143=16.
159 -76=83, 83-67=16.
Not helpful.
53/3≈17.666. Not useful.
Hmm, maybe 76 and 3 first.
76+3=79. Remaining 53 and 67.
79 - (67+53)=79-120= -41.
79 -67=12, 12*53=636. No.
Alternatively, 76-3=73. Then 73 and 53,67.
73-53=20, 20+67=87.
Hmm.
76*3=228. Then 228 - (53+67)=228-120=108.
228 divided by something? 228/ (53+67)=228/120=1.9. Not helpful.
Hmm.
Alternatively, 76/3≈25.333. Not helpful.
Hmm, maybe 67 and 3.
67+3=70. Remaining 53 and76.
70 - (76-53)=70-23=47.
70 +53=123, 123-76=47.
Hmm.
67-3=64. Then 64 and 53,76.
64+53=117, 117-76=41.
64* (76/53) ≈ 64*1.433≈91.5.
Hmm.
67*3=201. Then 201 - (53+76)=201-129=72.
201 divided by something? 201/ (53+76)=201/129≈1.55.
Hmm.
Alternatively, 67/3≈22.333. Not helpful.
Hmm, maybe trying three numbers first. Let's see.
Take 53,76,3. Let's see if combining them can get something useful.
53+76+3=132. Then 132-67=65.
53+76=129. 129-3=126. 126-67=59.
Hmm.
Alternatively, 53*3=159. 159-76=83. 83-67=16.
Hmm.
Alternatively, 76-53=23. 23+3=26. 26 and 67 left. 26* (something). 26*(67/ something).
Wait, 26*(67 - x) but not sure.
Alternatively, 26 + (67 - y).
Hmm, 26 + (67 - 53)=26+14=40.
Hmm.
Wait, maybe (76 -53)=23. Then 23 +3=26. Then 26 - (67 - something). Wait, but I can't reuse numbers.
Alternatively, 23*(something). 23*(67/ something).
Hmm, 23*(67/ (something)).
Wait, 23*(67/(53))? 23*(67/53) ≈23*1.264≈29.07. Not 24.
Hmm.
Alternatively, 67 - (76 -53)=67-23=44. Then 44 -3=41.
Hmm.
Wait, maybe (53 - (76 -67)) *3. Let's see, 76-67=9. 53-9=44. 44*3=132. Not 24.
Hmm.
Alternatively, (67 - (53 +3)) * (76/something). 67-56=11. 11*(76/x).
Hmm.
Wait, maybe (76 / (67 -53)) *3. Let's see, 67-53=14. 76/14≈5.428. 5.428*3≈16.28. Not 24.
Hmm.
Wait, perhaps (53 - (67 -3)) * (76/something). 67-3=64. 53-64= -11. -11*(76/x).
Hmm, not helpful.
Hmm, maybe trying division in a different way. Let's see, 76 divided by (something) to get a fraction that can be multiplied.
Wait, 53 divided by (something). Let's see, 53/(76-67)=53/9≈5.888.
Hmm.
Alternatively, (76 - (53 +3)) * (67/something). 76-56=20. 20*(67/x).
Hmm.
Wait, maybe (67 - 53) =14. 14* (something). 14*( (76 -3)/something).
Wait, 76-3=73. 73 divided by something. 73/53≈1.377. 14*1.377≈19.28. Not 24.
Hmm.
Alternatively, (53 + 67) =120. 120 -76=44. 44 -3=41.
Hmm.
Wait, maybe (76 - (67 -3)) * (53/something). 67-3=64. 76-64=12. 12*(53/x).
Hmm, 12*(53/ something). If I can get 53 divided by something to be 2, then 12*2=24.
So 53 divided by (something) =2 → something is 26.5. But I have 53, so 53 divided by (something) to get 2.
Wait, 53 divided by (something) =2 → something is 26.5. But I don't have 26.5.
Alternatively, maybe (53 - something)/something else.
Hmm, this is getting frustrating. Maybe I need to try a different approach. Let me list all possible permutations and see.
The numbers are 53,76,3,67. Let's see all possible operations step by step.
First, pick any two numbers and combine them. Let's try all possibilities.
Option 1: Combine 53 and 76 first.
53+76=129. Remaining numbers:3,67.
Now, with 129,3,67.
Possible operations:
129+3+67=200.
129+3=132-67=65.
129-3=126-67=59.
129-67=62-3=59.
129*3=387/67≈5.77.
129/3=43-67= -24. Wait, 129 divided by 3 is 43. Then 43 -67= -24. Oh! Wait, that's -24. But the target is 24. So if I do 67 - (129/3) =67-43=24.
Wait, let me check that again.
If I first do 53+76=129. Then, take 129 divided by 3 gives 43. Then 67 minus 43 is 24.
So the formula would be 67 - ( (53 +76)/3 ) = 67 - (129/3) =67-43=24.
Yes! That works.
Wait, let me verify the steps again.
First, add 53 and76: 53+76=129.
Then divide that by3: 129/3=43.
Then subtract that from67: 67-43=24.
Yes, that uses all numbers exactly once: 53,76,3,67.
So the formula is 67 - (53 +76)/3 =24.
Alternatively written as (67) - ((53 +76)/3) =24.
So the equation would be 67 - (53 + 76)/3 =24.
Let me check the arithmetic again:
53+76 is 129. Divided by3 is 43. 67 minus43 is indeed24.
Yes! That works.
So the formula is 67 - (53 + 76)/3 =24.
I think that's the solution.
{
"formula": '67 - (53 + 76)/3 = 24'
}<|im_end|>
|
[
16,
18,
23,
66
] | 45 |
1209
|
{
"formula": '66 - 23 + 18 - 16',
}
| 1,504 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 18, 23, 66,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '66 - 23 + 18 - 16',
}<|im_end|>
|
[
26,
53,
45,
5
] | 88 |
1219
|
{
"formula": "(45 / 5) + 26 + 53"
}
| 1,077 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 53, 45, 5,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(45 / 5) + 26 + 53"
}<|im_end|>
|
[
40,
10,
40,
78
] | 89 |
1203
|
{
"formula": '78 + 10 + (40 / 40)'
}
| 1,229 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 40, 10, 40, 78,
target: 89
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 89',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '78 + 10 + (40 / 40)'
}<|im_end|>
|
[
27,
93,
42,
56
] | 88 |
1019
|
{
"formula": '(93 - 27) * (56 / 42)',
}
| 4,178 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 27, 93, 42, 56,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(93 - 27) * (56 / 42)',
}<|im_end|>
|
[
92,
10,
9,
48
] | 43 |
1221
|
{
"formula": '92 - (48 + (10 - 9))'
}
| 1,250 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 92, 10, 9, 48,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '92 - (48 + (10 - 9))'
}<|im_end|>
|
[
100,
4,
14,
100
] | 56 |
1014
|
{
"formula": '100 - (100 - (14 * 4))'
}
| 4,760 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 100, 4, 14, 100,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '100 - (100 - (14 * 4))'
}<|im_end|>
|
[
19,
69,
25,
30
] | 10 |
1218
|
{
"formula": '(69 - 19) / (30 - 25)'
}
| 694 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 19, 69, 25, 30,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(69 - 19) / (30 - 25)'
}<|im_end|>
|
[
98,
13,
8,
91
] | 43 |
1184
|
{
"formula": '(98 - 91) * 8 - 13'
}
| 2,588 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 98, 13, 8, 91,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(98 - 91) * 8 - 13'
}<|im_end|>
|
[
13,
6,
7,
48
] | 13 |
1055
|
{
"formula": '((48 / 6) - 7) * 13'
}
| 4,739 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 13, 6, 7, 48,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((48 / 6) - 7) * 13'
}<|im_end|>
|
[
12,
48,
10,
34
] | 48 |
1206
|
{
"formula": '12*(48 - 34 - 10)'
}
| 3,500 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 12, 48, 10, 34,
target: 48
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 48',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '12*(48 - 34 - 10)'
}<|im_end|>
|
[
1,
59,
85,
47
] | 96 |
1213
|
{
"formula": '(85 - 47) + (59 - 1)'
}
| 2,127 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 59, 85, 47,
target: 96
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 96',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(85 - 47) + (59 - 1)'
}<|im_end|>
|
[
19,
14,
11,
75
] | 25 |
1202
|
{
"formula": '(11 * 75) / (19 + 14)'
}
| 3,482 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 19, 14, 11, 75,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(11 * 75) / (19 + 14)'
}<|im_end|>
|
[
7,
5,
73,
83
] | 43 |
1223
|
{
"formula": '5*(83 - 73) - 7 = 43'
}
| 5,296 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 5, 73, 83,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '5*(83 - 73) - 7 = 43'
}<|im_end|>
|
[
36,
67,
86,
3
] | 83 |
1035
|
{
"formula": '(86 - 36) * 3 - 67'
}
| 5,194 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 67, 86, 3,
target: 83
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 83',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(86 - 36) * 3 - 67'
}<|im_end|>
|
[
13,
28,
42,
22
] | 49 |
1228
|
{
"formula": '42 + 22 + 13 - 28',
}
| 3,935 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 13, 28, 42, 22,
target: 49
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 49',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '42 + 22 + 13 - 28',
}<|im_end|>
|
[
92,
23,
69,
93
] | 94 |
1224
|
{
"formula": '93 + (92 / (23 + 69))'
}
| 580 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 92, 23, 69, 93,
target: 94
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 94',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '93 + (92 / (23 + 69))'
}<|im_end|>
|
[
15,
95,
13,
45
] | 100 |
1226
|
{
"formula": '(95 - 45) * (15 - 13)'
}
| 8,746 | 126 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 15, 95, 13, 45,
target: 100
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 100',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(95 - 45) * (15 - 13)'
}<|im_end|>
|
[
41,
2,
65,
42
] | 25 |
1222
|
{
"formula": '(65 + 42) - (41 * 2)'
}
| 2,020 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 41, 2, 65, 42,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(65 + 42) - (41 * 2)'
}<|im_end|>
|
[
29,
2,
1,
55
] | 29 |
1212
|
{
"formula": '55 - (29 - (2 + 1))'
}
| 2,399 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 29, 2, 1, 55,
target: 29
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 29',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '55 - (29 - (2 + 1))'
}<|im_end|>
|
[
27,
19,
2,
24
] | 81 |
1207
|
{
"formula": '27*(24 - 19 - 2)'
}
| 2,276 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 27, 19, 2, 24,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '27*(24 - 19 - 2)'
}<|im_end|>
|
[
56,
52,
21,
59
] | 20 |
1049
|
{
"formula": '(59 + 21) / (56 - 52)',
}
| 11,928 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 56, 52, 21, 59,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(59 + 21) / (56 - 52)',
}<|im_end|>
|
[
47,
16,
36,
15
] | 64 |
1238
|
{
"formula": '16*(36 - (47 - 15))'
}
| 1,608 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 47, 16, 36, 15,
target: 64
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 64',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '16*(36 - (47 - 15))'
}<|im_end|>
|
[
2,
28,
69,
7
] | 88 |
1240
|
{
"formula": '(28 + 69) - (7 + 2)'
}
| 1,504 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 28, 69, 7,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(28 + 69) - (7 + 2)'
}<|im_end|>
|
[
5,
24,
78,
13
] | 46 |
1232
|
{
"formula": "78 - 24 - 13 + 5"
}
| 2,964 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 5, 24, 78, 13,
target: 46
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 46',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "78 - 24 - 13 + 5"
}<|im_end|>
|
[
28,
8,
74,
24
] | 86 |
1234
|
{
"formula": '74 + 28 + 8 - 24'
}
| 1,919 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 8, 74, 24,
target: 86
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 86',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '74 + 28 + 8 - 24'
}<|im_end|>
|
[
8,
11,
40,
2
] | 12 |
1250
|
{
"formula": '2*(11 - (40/8))',
}
| 974 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 11, 40, 2,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '2*(11 - (40/8))',
}<|im_end|>
|
[
75,
36,
85,
44
] | 90 |
1194
|
{
"formula": '85 - 75 + 44 + 36'
}
| 3,592 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 75, 36, 85, 44,
target: 90
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 90',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - 75 + 44 + 36'
}<|im_end|>
|
[
4,
57,
85,
58
] | 34 |
1245
|
{
"formula": '(4 + 57) - (85 - 58)'
}
| 902 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 57, 85, 58,
target: 34
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 34',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(4 + 57) - (85 - 58)'
}<|im_end|>
|
[
20,
26,
50,
46
] | 84 |
1217
|
{
"formula": "26*(50-46)-20"
}
| 2,721 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 20, 26, 50, 46,
target: 84
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 84',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "26*(50-46)-20"
}<|im_end|>
|
[
93,
1,
95,
55
] | 28 |
1239
|
{
"formula": '(55 + 1) / (95 - 93)'
}
| 1,519 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 93, 1, 95, 55,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(55 + 1) / (95 - 93)'
}<|im_end|>
|
[
6,
67,
39,
63
] | 49 |
1230
|
{
"formula": '67 - 63 + 39 + 6'
}
| 2,463 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 67, 39, 63,
target: 49
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 49',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '67 - 63 + 39 + 6'
}<|im_end|>
|
[
92,
12,
22,
11
] | 70 |
1233
|
{
"formula": "(92 / (12 - 11)) - 22"
}
| 3,138 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 92, 12, 22, 11,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(92 / (12 - 11)) - 22"
}<|im_end|>
|
[
28,
24,
41,
28
] | 41 |
1214
|
{
"formula": '(28 - 28) * 24 + 41'
}
| 3,123 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 24, 41, 28,
target: 41
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 41',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(28 - 28) * 24 + 41'
}<|im_end|>
|
[
57,
59,
60,
87
] | 30 |
1251
|
{
"formula": '(60 - 59) * (87 - 57)'
}
| 3,548 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 59, 60, 87,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(60 - 59) * (87 - 57)'
}<|im_end|>
|
[
1,
96,
39,
70
] | 13 |
1227
|
{
"formula": '(39 * 1) + (70 - 96)'
}
| 3,053 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 96, 39, 70,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(39 * 1) + (70 - 96)'
}<|im_end|>
|
[
77,
87,
72,
90
] | 28 |
1253
|
{
"formula": "(90 - 72) + (87 - 77)"
}
| 847 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 77, 87, 72, 90,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(90 - 72) + (87 - 77)"
}<|im_end|>
|
[
65,
70,
4,
92
] | 98 |
1243
|
{
"formula": '(65 * 4) - 92 - 70'
}
| 1,511 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 65, 70, 4, 92,
target: 98
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 98',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(65 * 4) - 92 - 70'
}<|im_end|>
|
[
25,
7,
53,
91
] | 95 |
1170
|
{
"formula": '91 + ((53 - 25) / 7) = 95'
}
| 5,304 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 25, 7, 53, 91,
target: 95
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 95',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '91 + ((53 - 25) / 7) = 95'
}<|im_end|>
|
[
89,
66,
12,
73
] | 62 |
1249
|
{
"formula": '73 - (89 - (66 + 12))'
}
| 1,089 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 89, 66, 12, 73,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 - (89 - (66 + 12))'
}<|im_end|>
|
[
30,
43,
96,
11
] | 34 |
1242
|
{
"formula": "(96 - 43 - 30) + 11"
}
| 1,944 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 43, 96, 11,
target: 34
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 34',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(96 - 43 - 30) + 11"
}<|im_end|>
|
[
37,
26,
31,
32
] | 36 |
1259
|
{
"formula": '(37 - 31) * (32 - 26)'
}
| 860 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 37, 26, 31, 32,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(37 - 31) * (32 - 26)'
}<|im_end|>
|
[
52,
3,
18,
13
] | 50 |
1258
|
{
"formula": '52 - (18 - (13 + 3))',
}
| 1,083 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 52, 3, 18, 13,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '52 - (18 - (13 + 3))',
}<|im_end|>
|
[
57,
70,
3,
46
] | 36 |
1273
|
{
"formula": '(57 + 3) - (70 - 46)'
}
| 1,012 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 70, 3, 46,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(57 + 3) - (70 - 46)'
}<|im_end|>
|
[
54,
16,
19,
77
] | 96 |
1236
|
{
"formula": '54 + 77 - 16 - 19'
}
| 3,145 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 54, 16, 19, 77,
target: 96
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 96',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '54 + 77 - 16 - 19'
}<|im_end|>
|
[
93,
62,
9,
87
] | 65 |
1280
|
{
"formula": "(62 + 9) - (93 - 87)"
}
| 1,541 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 93, 62, 9, 87,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(62 + 9) - (93 - 87)"
}<|im_end|>
|
[
49,
82,
97,
51
] | 13 |
1272
|
{
"formula": "(97 - 82) - (51 - 49)"
}
| 671 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 82, 97, 51,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(97 - 82) - (51 - 49)"
}<|im_end|>
|
[
73,
99,
85,
24
] | 35 |
1246
|
{
"formula": '(73 - 24) - (99 - 85)'
}
| 2,247 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 73, 99, 85, 24,
target: 35
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 35',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(73 - 24) - (99 - 85)'
}<|im_end|>
|
[
82,
54,
66,
82
] | 54 |
1275
|
{
"formula": '54 + ((82 - 82) * 66)'
}
| 861 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 82, 54, 66, 82,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '54 + ((82 - 82) * 66)'
}<|im_end|>
|
[
60,
51,
67,
5
] | 86 |
1163
|
{
"formula": '(67 - 60) * 5 + 51 = 86'
}
| 1,185 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 51, 67, 5,
target: 86
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 86',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(67 - 60) * 5 + 51 = 86'
}<|im_end|>
|
[
25,
92,
49,
47
] | 65 |
1255
|
{
"formula": '92 - 49 + 47 - 25',
}
| 2,225 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 25, 92, 49, 47,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '92 - 49 + 47 - 25',
}<|im_end|>
|
[
92,
85,
32,
39
] | 49 |
1270
|
{
"formula": "(92 - 85) * (39 - 32)"
}
| 1,291 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 92, 85, 32, 39,
target: 49
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 49',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(92 - 85) * (39 - 32)"
}<|im_end|>
|
[
4,
17,
2,
43
] | 62 |
1279
|
{
"formula": '43 + 17 + 4 - 2',
}
| 1,255 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 17, 2, 43,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '43 + 17 + 4 - 2',
}<|im_end|>
|
[
55,
33,
53,
88
] | 13 |
1266
|
{
"formula": '33 - (55 - (88 - 53))'
}
| 1,435 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 55, 33, 53, 88,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '33 - (55 - (88 - 53))'
}<|im_end|>
|
[
91,
35,
21,
31
] | 100 |
1042
|
{
"formula": '(91 - 31) / (21/35) = 100'
}
| 11,369 | 126 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 91, 35, 21, 31,
target: 100
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 100',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(91 - 31) / (21/35) = 100'
}<|im_end|>
|
[
80,
20,
68,
15
] | 79 |
1225
|
{
"formula": '(68 - (80 / 20)) + 15'
}
| 4,036 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 80, 20, 68, 15,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(68 - (80 / 20)) + 15'
}<|im_end|>
|
[
66,
85,
51,
57
] | 43 |
1267
|
{
"formula": '85 - (57 - (66 - 51))'
}
| 1,508 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 66, 85, 51, 57,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - (57 - (66 - 51))'
}<|im_end|>
|
[
93,
36,
73,
63
] | 67 |
1264
|
{
"formula": "(93 - 36) + (73 - 63)"
}
| 1,920 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 93, 36, 73, 63,
target: 67
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 67',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(93 - 36) + (73 - 63)"
}<|im_end|>
|
[
31,
41,
90,
53
] | 47 |
1244
|
{
"formula": '(90 - 53) + 41 - 31'
}
| 3,418 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 31, 41, 90, 53,
target: 47
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 47',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(90 - 53) + 41 - 31'
}<|im_end|>
|
[
39,
1,
87,
97
] | 48 |
1289
|
{
"formula": "(97 - 87) + (39 - 1)"
}
| 996 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 39, 1, 87, 97,
target: 48
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 48',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(97 - 87) + (39 - 1)"
}<|im_end|>
|
[
66,
8,
30,
37
] | 65 |
1277
|
{
"formula": '66 - 30 + 37 - 8'
}
| 1,824 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 66, 8, 30, 37,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '66 - 30 + 37 - 8'
}<|im_end|>
|
[
37,
98,
8,
28
] | 81 |
1298
|
{
"formula": '98 - (37 - (28 - 8))'
}
| 803 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 37, 98, 8, 28,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '98 - (37 - (28 - 8))'
}<|im_end|>
|
[
84,
70,
50,
1
] | 36 |
1296
|
{
"formula": '50 - (84 - 70) * 1'
}
| 1,242 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 84, 70, 50, 1,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '50 - (84 - 70) * 1'
}<|im_end|>
|
[
97,
29,
16,
16
] | 36 |
1299
|
{
"formula": '97 - (29 + 16 + 16)'
}
| 931 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 97, 29, 16, 16,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '97 - (29 + 16 + 16)'
}<|im_end|>
|
[
76,
88,
44,
32
] | 24 |
1256
|
{
"formula": '(88 - 76) + (44 - 32)'
}
| 2,984 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 76, 88, 44, 32,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(88 - 76) + (44 - 32)'
}<|im_end|>
|
[
15,
96,
93,
28
] | 69 |
1247
|
{
"formula": '(28 * (96 - 93)) - 15'
}
| 3,449 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 15, 96, 93, 28,
target: 69
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 69',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(28 * (96 - 93)) - 15'
}<|im_end|>
|
[
56,
82,
14,
23
] | 42 |
1290
|
{
"formula": '((82 - 23 - 56) * 14)'
}
| 1,902 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 56, 82, 14, 23,
target: 42
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 42',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((82 - 23 - 56) * 14)'
}<|im_end|>
|
[
44,
78,
28,
5
] | 67 |
1263
|
{
"formula": '78 + 28 + 5 - 44',
}
| 2,739 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 78, 28, 5,
target: 67
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 67',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '78 + 28 + 5 - 44',
}<|im_end|>
|
[
5,
20,
5,
37
] | 32 |
1293
|
{
"formula": '(37 + 20) - (5 * 5)'
}
| 994 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 5, 20, 5, 37,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(37 + 20) - (5 * 5)'
}<|im_end|>
|
[
23,
38,
4,
14
] | 17 |
1130
|
{
"formula": '23 - ((38 - 14) / 4)'
}
| 3,245 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 23, 38, 4, 14,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '23 - ((38 - 14) / 4)'
}<|im_end|>
|
[
39,
16,
28,
78
] | 40 |
1237
|
{
"formula": '(28 * (78 / 39)) - 16'
}
| 3,042 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 39, 16, 28, 78,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(28 * (78 / 39)) - 16'
}<|im_end|>
|
[
28,
89,
2,
4
] | 98 |
1292
|
{
"formula": '89 + (28 / 4 + 2)',
}
| 1,191 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 89, 2, 4,
target: 98
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 98',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '89 + (28 / 4 + 2)',
}<|im_end|>
|
[
28,
15,
51,
54
] | 16 |
1304
|
{
"formula": "(54 - 51) + (28 - 15)"
}
| 544 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 15, 51, 54,
target: 16
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 16',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(54 - 51) + (28 - 15)"
}<|im_end|>
|
[
84,
47,
63,
86
] | 60 |
1291
|
{
"formula": '84 - (63 - (86 - 47))'
}
| 1,323 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 84, 47, 63, 86,
target: 60
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 60',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '84 - (63 - (86 - 47))'
}<|im_end|>
|
[
13,
72,
5,
3
] | 70 |
1318
|
{
"formula": "72 - (5 * 3) + 13"
}
| 1,105 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 13, 72, 5, 3,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "72 - (5 * 3) + 13"
}<|im_end|>
|
[
82,
17,
76,
77
] | 99 |
1306
|
{
"formula": '82 + 17 * (77 - 76)'
}
| 608 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 82, 17, 76, 77,
target: 99
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 99',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '82 + 17 * (77 - 76)'
}<|im_end|>
|
[
3,
4,
29,
62
] | 91 |
1309
|
{
"formula": '62 + 29*(4 - 3)'
}
| 1,083 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 3, 4, 29, 62,
target: 91
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 91',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '62 + 29*(4 - 3)'
}<|im_end|>
|
[
81,
20,
80,
91
] | 72 |
1305
|
{
"formula": "(81 - 80) + (91 - 20)"
}
| 842 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 20, 80, 91,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(81 - 80) + (91 - 20)"
}<|im_end|>
|
[
85,
23,
27,
7
] | 28 |
1287
|
{
"formula": '85 - 23 - 27 - 7',
}
| 2,161 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 85, 23, 27, 7,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - 23 - 27 - 7',
}<|im_end|>
|
[
9,
9,
5,
86
] | 10 |
1325
|
{
"formula": '(86 - (9 * 9)) + 5'
}
| 941 | 121 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 9, 5, 86,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(86 - (9 * 9)) + 5'
}<|im_end|>
|
[
28,
47,
94,
16
] | 72 |
1182
|
{
"formula": '((94 / 47) * 28) + 16'
}
| 13,436 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 47, 94, 16,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((94 / 47) * 28) + 16'
}<|im_end|>
|
[
9,
96,
16,
74
] | 54 |
1302
|
≈13.7, not 20. Alternatively, 16 + 9 =25, which is more than 20. 16 -9=7. 96 divided by 7 is still not helpful.
Alternatively, maybe 96 - (something) =54. So 96 -42=54. How to get 42 from 16,74,9? 74 - (16 +9)=49, no. 16* (something). 16*2.625=42, but that's not using integers. Hmm.
Alternatively, maybe 74 - (96 - (something)). Let's see: 74 - (96 - (16 +9))? Let's compute that: 16+9=25, 96-25=71, 74-71=3. Not helpful.
Hmm, perhaps using multiplication and division. Let's see, 9*(something) =54. So that something would be 6. So if I can get 6 from 96,16,74. Let's see. 96 divided by 16 is 6. So then 9*(96/16) =54. But again, that uses three numbers and leaves out 74. So that's a problem.
Wait, but maybe there's a way to involve 74 in that equation. Like, 9*(96/16) - (74 -74) but that's not helpful. Alternatively, maybe combining 74 with another number first. Let me think differently.
What if I do 74 - 9 =65, then 65 - 11=54. But where to get 11? Not sure. Alternatively, 74 - (96 - (16 + something)). Hmm, not sure.
Alternatively, maybe 16*3.375=54, but that's not using integers. Wait, 16*3 is 48, plus 6 is 54. But how to get 6 and 3? Not sure.
Wait, let's try another angle. Let's see all possible pairs and see if any combination can lead to 54.
Looking at 9 and 74: 74 -9 =65, 74+9=83, 74/9≈8.22, 74*9=666. Not helpful.
9 and 16: 25, 7, 144, 1.5. Not helpful except maybe 25 or 7.
9 and 96: 105, 87, 864, 10.666. Hmm.
16 and 74: 90, 58, 1184, 4.625.
16 and 96: 112, 80, 1536, 6.
74 and 96: 170, 22, 7104, ~0.77.
Hmm, maybe 74 - (96 - (16 +9))? Let's compute that: 16+9=25, 96-25=71, 74-71=3. Not helpful.
Alternatively, (74 - 96) + (16* something). 74-96 is -22. 16* something plus that equals 54? So 16x -22 =54 → 16x=76 → x=4.75. Not an integer.
Hmm. Maybe (96 / 16) *9 =54, but then we have to use 74 somehow. Maybe 54 + (74 -74) but that's redundant. Alternatively, 54 + (74 - (something)). Not sure.
Wait, perhaps using subtraction and division. Let's see:
What if I do (96 - 74) =22, then 22 + 16 +9=47. Not enough. Or 22*(something). 22*2.454=54, but again fractions.
Alternatively, (74 - (96 -16)) *9? Let's compute: 96-16=80, 74-80= -6, times 9 is -54. Oh! Wait, that's -54. But the target is 54. So maybe absolute value? But the problem allows negative numbers? Wait, the operations include '-', so maybe ( (74 - (96 -16)) ) * (-9) but that would require using 9 twice. Hmm, no.
Wait, let me recalculate that step. 96-16 is 80. 74 minus 80 is -6. Then -6 multiplied by 9 is -54. So if I can reverse the order, like ( (96 -16) -74 ) *9 = (80-74)=6 *9=54. Oh! Wait, that works!
Let me check again:
( (96 - 16) -74 ) *9 ?
Wait, 96-16 is 80. 80 -74 is 6. 6 multiplied by 9 is 54. Yes! And all numbers are used exactly once: 96,16,74, and 9. Perfect!
So the formula would be ((96 - 16) - 74) * 9 = 54. Wait, but let me check the order of operations. Alternatively, maybe written as ( (96 - 16 -74) ) *9. Since subtraction is left-associative, that's the same as ( (96-16)=80, then 80-74=6, then 6*9=54. So yes, that works.
Alternatively, maybe parentheses can be arranged differently, but that's the core idea. Let me confirm all numbers are used once: 96, 16, 74, and 9. Yes, each exactly once. The operations are -, -, and *.
So the formula would be ((96 - 16 - 74) × 9) = 54. Alternatively, written with proper parentheses: ((96 - 16) - 74) * 9. Or even ( (96 - (16 +74)) *9 )? Wait, 16+74 is 90, 96-90=6, 6*9=54. Oh, that's another way. So (96 - (16 +74)) *9. That might be simpler.
Yes, that's better. Let me check:
16 +74 =90. 96-90=6. 6*9=54. So the formula is (96 - (16 +74)) *9. That uses all four numbers once, and the operations are +, -, and *.
So the formula would be written as (96 - (16 + 74)) * 9 = 54. Perfect. That should be the answer.
{
"formula": '(96 - (16 + 74)) * 9'
}
| 2,497 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 96, 16, 74,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
≈13.7, not 20. Alternatively, 16 + 9 =25, which is more than 20. 16 -9=7. 96 divided by 7 is still not helpful.
Alternatively, maybe 96 - (something) =54. So 96 -42=54. How to get 42 from 16,74,9? 74 - (16 +9)=49, no. 16* (something). 16*2.625=42, but that's not using integers. Hmm.
Alternatively, maybe 74 - (96 - (something)). Let's see: 74 - (96 - (16 +9))? Let's compute that: 16+9=25, 96-25=71, 74-71=3. Not helpful.
Hmm, perhaps using multiplication and division. Let's see, 9*(something) =54. So that something would be 6. So if I can get 6 from 96,16,74. Let's see. 96 divided by 16 is 6. So then 9*(96/16) =54. But again, that uses three numbers and leaves out 74. So that's a problem.
Wait, but maybe there's a way to involve 74 in that equation. Like, 9*(96/16) - (74 -74) but that's not helpful. Alternatively, maybe combining 74 with another number first. Let me think differently.
What if I do 74 - 9 =65, then 65 - 11=54. But where to get 11? Not sure. Alternatively, 74 - (96 - (16 + something)). Hmm, not sure.
Alternatively, maybe 16*3.375=54, but that's not using integers. Wait, 16*3 is 48, plus 6 is 54. But how to get 6 and 3? Not sure.
Wait, let's try another angle. Let's see all possible pairs and see if any combination can lead to 54.
Looking at 9 and 74: 74 -9 =65, 74+9=83, 74/9≈8.22, 74*9=666. Not helpful.
9 and 16: 25, 7, 144, 1.5. Not helpful except maybe 25 or 7.
9 and 96: 105, 87, 864, 10.666. Hmm.
16 and 74: 90, 58, 1184, 4.625.
16 and 96: 112, 80, 1536, 6.
74 and 96: 170, 22, 7104, ~0.77.
Hmm, maybe 74 - (96 - (16 +9))? Let's compute that: 16+9=25, 96-25=71, 74-71=3. Not helpful.
Alternatively, (74 - 96) + (16* something). 74-96 is -22. 16* something plus that equals 54? So 16x -22 =54 → 16x=76 → x=4.75. Not an integer.
Hmm. Maybe (96 / 16) *9 =54, but then we have to use 74 somehow. Maybe 54 + (74 -74) but that's redundant. Alternatively, 54 + (74 - (something)). Not sure.
Wait, perhaps using subtraction and division. Let's see:
What if I do (96 - 74) =22, then 22 + 16 +9=47. Not enough. Or 22*(something). 22*2.454=54, but again fractions.
Alternatively, (74 - (96 -16)) *9? Let's compute: 96-16=80, 74-80= -6, times 9 is -54. Oh! Wait, that's -54. But the target is 54. So maybe absolute value? But the problem allows negative numbers? Wait, the operations include '-', so maybe ( (74 - (96 -16)) ) * (-9) but that would require using 9 twice. Hmm, no.
Wait, let me recalculate that step. 96-16 is 80. 74 minus 80 is -6. Then -6 multiplied by 9 is -54. So if I can reverse the order, like ( (96 -16) -74 ) *9 = (80-74)=6 *9=54. Oh! Wait, that works!
Let me check again:
( (96 - 16) -74 ) *9 ?
Wait, 96-16 is 80. 80 -74 is 6. 6 multiplied by 9 is 54. Yes! And all numbers are used exactly once: 96,16,74, and 9. Perfect!
So the formula would be ((96 - 16) - 74) * 9 = 54. Wait, but let me check the order of operations. Alternatively, maybe written as ( (96 - 16 -74) ) *9. Since subtraction is left-associative, that's the same as ( (96-16)=80, then 80-74=6, then 6*9=54. So yes, that works.
Alternatively, maybe parentheses can be arranged differently, but that's the core idea. Let me confirm all numbers are used once: 96, 16, 74, and 9. Yes, each exactly once. The operations are -, -, and *.
So the formula would be ((96 - 16 - 74) × 9) = 54. Alternatively, written with proper parentheses: ((96 - 16) - 74) * 9. Or even ( (96 - (16 +74)) *9 )? Wait, 16+74 is 90, 96-90=6, 6*9=54. Oh, that's another way. So (96 - (16 +74)) *9. That might be simpler.
Yes, that's better. Let me check:
16 +74 =90. 96-90=6. 6*9=54. So the formula is (96 - (16 +74)) *9. That uses all four numbers once, and the operations are +, -, and *.
So the formula would be written as (96 - (16 + 74)) * 9 = 54. Perfect. That should be the answer.
{
"formula": '(96 - (16 + 74)) * 9'
}<|im_end|>
|
[
6,
46,
69,
36
] | 78 |
1328
|
{
"formula": '6*(46 - (69 - 36))'
}
| 1,653 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 46, 69, 36,
target: 78
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 78',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '6*(46 - (69 - 36))'
}<|im_end|>
|
[
51,
71,
71,
6
] | 45 |
1257
|
{
"formula": '(51 + 71) - (71 + 6)',
}
| 4,186 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 71, 71, 6,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(51 + 71) - (71 + 6)',
}<|im_end|>
|
[
49,
91,
87,
35
] | 94 |
1288
|
{
"formula": '(87 + 91) - (49 + 35)'
}
| 2,769 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 91, 87, 35,
target: 94
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 94',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(87 + 91) - (49 + 35)'
}<|im_end|>
|
[
66,
80,
52,
25
] | 91 |
1332
|
{
"formula": '80 + 25 + 52 - 66 = 91'
}
| 2,494 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 66, 80, 52, 25,
target: 91
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 91',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '80 + 25 + 52 - 66 = 91'
}<|im_end|>
|
[
1,
95,
78,
37
] | 54 |
1330
|
{
"formula": '95 - 78 + 37 * 1',
}
| 3,227 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 95, 78, 37,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '95 - 78 + 37 * 1',
}<|im_end|>
|
[
81,
21,
83,
16
] | 39 |
1313
|
{
"formula": '16 + 21 + 83 - 81'
}
| 1,549 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 81, 21, 83, 16,
target: 39
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 39',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '16 + 21 + 83 - 81'
}<|im_end|>
|
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