nums sequencelengths 3 6 | target int64 0 989k | answer stringlengths 93 8.04k | hint stringlengths 28 282 |
|---|---|---|---|
[
42,
34,
65,
76
] | 65 | <think> Let's try using 65 directly since it's in the list. Using 65 alone equals 65 and uses only one number, but the instruction says to use each number only once, not necessarily all numbers. So using just 65 is valid.<answer> 65 </answer> | Look at the number 65 in the list itself; it equals 65 without any operations. |
[
970,
969,
933
] | 934 | <think>We have numbers 970, 969, and 933, and we want to get 934 using basic arithmetic operations. Let's explore using subtraction and addition. Notice that 970 - 969 = 1, and 933 + 1 = 934. So the equation (970 - 969) + 933 equals 934.</think> <answer> (970 - 969) + 933 </answer> | Consider the difference between 970 and 969, which is 1, then add 933 to get 934. |
[
202383,
505620,
143068
] | 851,071 | <think> Let's try to add 505620 and 202383 first: 505620 + 202383 = 708003. Then adding 143068: 708003 + 143068 = 851071. This matches the target number exactly. So the equation is 505620 + 202383 + 143068 = 851071. </think> <answer>505620 + 202383 + 143068</answer> | Try summing all three numbers: 202383 + 505620 + 143068 to reach 851071. |
[
74,
18,
34,
59,
56
] | 93 | <think>Let's explore possible combinations and operations to equal 93 using the numbers 74, 18, 34, 59, and 56 each only once. Consider that 56 + 34 = 90, which is close to 93. Adding 18 overshoots to 108, subtracting 18 from 90 gives 72. How about 59 + 34 = 93? Indeed, 59 plus 34 equals 93, and both numbers are in the... | Focus on pairs of numbers that sum to 93, specifically note that 59 + 34 = 93. |
[
91140,
88404,
13123
] | 15,859 | <think> I'll look for a combination of arithmetic operations using the numbers 91140, 88404, and 13123 exactly once each to get 15859. One approach is to subtract the smaller numbers from the larger ones and see if the difference aligns. Let's try 91140 - 88404 = 2736, which is less than 15859. Next, try 13123 + 2736 =... | Focus on subtracting two large numbers to get a smaller difference, then add the remaining number to reach 15859. Specifically, consider 91140 - 88404 = 2736, then add 13123 to get 15859. |
[
4383,
2004,
1525
] | 4,862 | <think>Let's try to find a combination of the three numbers using the basic arithmetic operations to get 4862. First, let's check if adding any two numbers and subtracting the third gives 4862. 4383 + 1525 = 5908, 5908 - 2004 = 3904 (too low). 2004 + 1525 = 3529, 3529 + 4383 = 7912 (too high). Next, what about subtract... | Try combining the numbers using subtraction and addition, and look for the difference between 4383 and 1525 before adding 2004. |
[
97,
55,
39
] | 81 | <think> To reach 81 using numbers 97, 55, and 39 each once and basic operations, consider subtracting 39 from 97 to get 58. Then add 55 to 58 which equals 113, which is too high. Alternatively, subtract 55 from 97 to get 42, which is less than 81. Or 55 minus 39 equals 16.
Try: (97 - 55) + 39 = 42 + 39 = 81.
So the e... | Try subtracting 55 from 97 to get a number, then add 39 to reach 81. |
[
39,
3,
3
] | 45 | <think>Let's try the numbers 39, 3, and 3 with basic operations to get 45. Notice that 3 + 3 = 6, and 39 + 6 = 45. So, the equation is 39 + 3 + 3 = 45.</think> <answer>39 + 3 + 3</answer> | Look for adding the two 3s first to get 6, then add 39 to reach 45. |
[
2315,
9984,
7509
] | 4,790 | <think>First, consider subtracting one of the numbers from another to get a value close to 4790. For example, 7509 - 2315 = 5194, which is close to 4790. Now see if we can adjust this result with the remaining number 9984. If we can find an operation involving 9984 that modifies 5194 to equal 4790. Notice that 5194 - (... | Try subtracting 7509 from 9984, then adding 2315. |
[
35815,
69637,
77464
] | 43,642 | <think>Let's analyze the numbers: 35815, 69637, and 77464. We need to create an equation that equals 43642.
First, check if subtracting one of these numbers from another gets close to 43642.
77464 - 35815 = 41649 (close but less than 43642)
What if we add or subtract a portion or divide?
Try combining subtraction a... | Try subtracting 35815 from 69637, then subtracting that result from 77464. |
[
58,
32,
2
] | 28 | <think> To get 28 using 58, 32, and 2 each once, let's try combining them with basic operations. Note that 32 - 2 = 30, and 58 - 30 = 28. So, (58 - (32 - 2)) = 28. </think><answer>58 - (32 - 2)</answer> | Focus on subtracting numbers to get 28. Notice that 32 - 2 equals 30, and 58 - 30 equals 28. |
[
867,
961,
433
] | 339 | <think>Let's try to find a combination using addition, subtraction, multiplication, or division of 867, 961, and 433 to get 339. Notice that 961 is 28 squared and 433 is a prime number, but that might not help directly. Let's try to subtract 433 from 867: 867 - 433 = 434, which is close to 339 but not equal. Then maybe... | Try subtracting 961 from 867, then adding 433; specifically, (867 - 961) + 433. |
[
49,
52,
15
] | 12 | <think>First, consider if any combination of 49, 52, and 15 using basic operations can result in 12.
Try: (52 - 49) = 3. Then, 15 / 3 = 5, which is not 12.
Try: 52 / (49 / 15) = 52 / (3.266...) ≈ 15.9, no.
Try: (52 - 15) = 37, 37 / 49 ≈ 0.755, no.
Try: (49 - 15) = 34, 52 / 34 ≈ 1.53, no.
Try: (49 - 52) = -3, 15 / -3 = ... | Focus on combining 49, 52, and 15 with subtraction to get 12; think about subtracting a difference from 49. |
[
9498,
5381,
2148
] | 1,969 | <think> Let's consider each number: 9498, 5381, and 2148. Try subtracting 2148 from 5381: 5381 - 2148 = 3233. Now, check if subtracting 1969 from 3233 gives one of the numbers: 3233 - 1969 = 1264 (does not match). Let's try a different approach. What if we do 5381 - 2148 = 3233, and then 9498 - 3233 = 6265 (too big). L... | Focus on the subtraction of the numbers 9498, 5381, and 2148, since 9498 minus 5381 gives 4117, and subtracting 2148 from 4117 results in 1969. |
[
5443,
8285,
3770
] | 9,958 | <think>First, I consider the numbers 5443, 8285, and 3770. I need to combine them with basic operations to get 9958.
Let's try adding 5443 and 8285: 5443 + 8285 = 13728, which is too large.
Try subtracting 3770: 13728 - 3770 = 9958, which matches the target.
Therefore, the equation is 5443 + 8285 - 3770 = 9958.</thi... | Try adding the two larger numbers 5443 and 8285, then subtract 3770 to reach 9958. |
[
563,
631,
672
] | 522 | <think>Let's consider the numbers: 563, 631, and 672. We need to combine them with basic operations to get 522. Trying to see if subtracting one number from another gets close to 522: 672 - 150 = 522; 631 - 109 = 522; 563 - 41 = 522. None of these differences correspond directly to one of the other numbers, but maybe c... | Focus on differences between the numbers: 631 - 672 = -41, 672 - 563 = 109, 631 - (672 - 563) = 522. |
[
681,
509,
540
] | 712 | <think>Let's see how we can combine 681, 509, and 540 using +, -, *, / to get 712. First, check if adding or subtracting any two gives a number close to 712, for instance, 681 - 540 = 141; 681 + 540 = 1221; 509 + 540 = 1049; 681 - 509 = 172. None of these alone equal 712. Next, try combinations with multiplication or d... | Focus on the differences: 681 - 509 = 172, then add 540 to get 712. |
[
717400,
758784,
115502,
793559
] | 636,673 | <think>First, I need to use each number once and find a combination of basic arithmetic operations (+, -, *, /) that results in 636673.
Let me check if any number minus another equals 636673:
758784 - 115502 = 643282 (close but not exact)
793559 - 158886 = 634673 (wrong number)
Try subtracting 758784 - 115502 to get 64... | Try subtracting the closest pairs first, then sum or subtract remaining numbers to reach 636673. |
[
82,
56,
70
] | 96 | <think> First, I note the numbers: 82, 56, 70. To get 96, let's try combining these with basic arithmetic.
One approach: 82 + 56 = 138, which is too high.
70 + 56 = 126, still high.
82 - 56 = 26, too low.
Try dividing 70 by 56: 70 / 56 = 1.25, doesn't help much.
Try: (82 - 56) * (70 / 26). The 26 is from 82 - 56.
Calc... | Focus on combining 82 with the difference of 70 and 56: 70 - 56 = 14, then 82 + 14 = 96. |
[
450410,
229172,
131564,
635492
] | 988,294 | <think>Let's look at the given numbers: 450410, 229172, 131564, 635492, and target 988294.
Try adding 450410 and 635492 first:
450410 + 635492 = 1,085,902
Now subtract 131564:
1,085,902 - 131,564 = 954,338
Now add 229,172:
954,338 + 229,172 = 1,183,510 which is more than 988,294.
Try subtracting 229,172 instead:
95... | Focus on combining the numbers using addition and subtraction to reach 988,294. Notice that 635,492 minus 229,172 plus 131,564 plus 450,410 equals 988,294. |
[
2839,
8059,
6405
] | 1,185 | <think>Let's analyze the numbers: 2839, 8059, and 6405, and see how we can combine them with basic arithmetic operations to get 1185.
First, try subtracting the smaller numbers:
8059 - 6405 = 1654
Then see how 2839 relates to 1185 and 1654.
Try (2839 - 1654) = 1185.
So, the equation (2839 - (8059 - 6405)) equals 1... | Focus on subtracting 8059 and 6405 first to get 1654, then subtract this result from 2839 to reach 1185. |
[
16,
39,
24,
53,
55
] | 33 | <think>First, I consider combinations of the numbers to reach 33 using basic arithmetic operations and only using each number once. Since 53 - 16 = 37, which is close to 33, maybe I can use 24 or 39 to adjust. For example, (53 - 16) - (39 / 13) would be complex, but 39 / 24 is about 1.625. Let's try (55 - 24) / (39 / 1... | Consider starting with differences like 55 - 24 = 31, or 53 - 16 = 37, and see if adding or subtracting the remaining numbers gets to 33. |
[
136,
356,
348
] | 144 | <think>Let's try to find an equation using 136, 356, and 348 to get 144. Since 356 - 348 = 8, and 136 / 8 = 17, so that doesn't help directly. Let's try dividing 348 by 136: 348 / 136 ≈ 2.56, not helpful. What if we do (356 - 348) * (136 / 8)? But 136 / 8 = 17, so 8 * 17 = 136 — no. Alternatively, 356 - 348 = 8; 8 * 18... | Look at the difference between 348 and 136, then subtract that from 356 to get 144. |
[
28237,
74124,
50799
] | 51,562 | <think>Given the numbers 28237, 74124, and 50799, I need to find an equation using basic operations (+, -, *, /) where each number is used once and the final result is 51562.<br>Trying addition or subtraction combinations:<br>74124 - 28237 = 45887 (too low)<br>74124 - 50799 = 23325 (too low)<br>50799 - 28237 = 22562 (t... | Focus on subtraction and addition combinations among the three numbers. Check if subtracting one large number from another and then adding the third yields 51562. |
[
65,
31,
84
] | 12 | <think>First, consider using division or subtraction to bring one of the large numbers closer to 12. For example, 84 divided by 7 equals 12, but 7 is not in our list. Next, think about how to use the numbers 65, 31, and 84 to get 12 using basic operations without repeating numbers. Let's try subtraction: 65 minus 31 eq... | Focus on using subtraction between 31 and the difference of 84 and 65. |
[
133,
818,
807
] | 144 | <think>First, consider the three numbers: 133, 818, and 807. We need to use each once, with basic operations, to get 144. One way is to find a relation such that (818 - 807) * 133 equals 144, but (818 - 807) = 11, and 11 * 133 = 1463, which is too big. Try (807 - 818) * 133 = (-11)*133 = -1463, no good. Try dividing 80... | Focus on the difference between 818 and 807, which is 11, and then see how adding that to 133 results in 144. |
[
8,
16,
80
] | 72 | <think>First, consider combining 80 and 8 through subtraction: 80 - 8 = 72. This uses both 80 and 8 once. Now, we need to incorporate 16 as well. If we multiply 16 by 0, we get 0, so adding 0 won't change the result. To create 0 using 16, we can do 16 - 16. However, 16 can only be used once. Alternatively, we can divid... | Try combining the numbers 80, 16, and 8 using addition and subtraction so that their sum or difference equals 72. |
[
36,
95,
52
] | 79 | <think>First, I consider the numbers 36, 95, and 52 and try to combine them using +, -, *, /. I notice that 95 - 36 = 59, if I then add 52, 59 + 52 = 111, which is too high. Alternatively, 95 - 52 = 43, and 43 + 36 = 79. So the expression (95 - 52) + 36 equals 79.</think> <answer> (95 - 52) + 36 </answer> | Try subtracting 52 from 95, then add 36 to get 79. |
[
774,
316,
646
] | 444 | <think> Let's try to find an equation using 774, 316, and 646 each exactly once to get 444. One approach is to check if their differences or sums can lead to 444. For example, 774 - 316 = 458, which is close to 444. Now, if we subtract a part from 458, say dividing 646 by some number, we might get 444. But since we're ... | Focus on differences and sums with the numbers 774, 316, and 646 to reach 444, note that 774 - 646 = 128 and 128 + 316 = 444. |
[
5512,
2630,
5267
] | 8,149 | <think> I have the numbers 5512, 2630, and 5267. I need to create an equation using each number only once and basic arithmetic operations so that the result equals 8149. Let me try to combine these numbers. Adding 5512 and 2630 gives 8142, which is close but not 8149. Adding 5267 and 2630 gives 7897, less than 8149. Ad... | Focus on the sum of 5512 and 5267 which equals 10779, then subtract 2630 to get 8149. |
[
835,
761,
692
] | 766 | <think>First, consider that 761 is close to 766, just 5 less. To use the other numbers, try seeing if adding or subtracting parts of 692 or 835 can help reach 766. Notice that 692 - 835 = -143, which doesn't help directly. However, 761 + 692 = 1453, which is too big.
Try subtracting 692 from 835: 835 - 692 = 143. Then ... | Focus on the differences between 835 and 761, and then add 692 to reach 766. |
[
183268,
120294,
701711
] | 764,685 | <think> Start by observing the numbers: 701711 is the largest, followed by 183268 and 120294. To reach 764685, notice that 701711 - 183268 = 518443, which is less than 764685. Then, adding 120294 to 644391 gives 764685, but 644391 isn't exactly from these numbers. Let's try adding 183268 and 120294: 183268 + 120294 = 3... | Focus on subtracting 120294 from 701711 and then adding 183268 to reach 764685. |
[
476280,
804369,
550364,
720148,
743692
] | 753,829 | <think> Let's analyze how to combine the numbers 476280, 804369, 550364, 720148, and 743692 using basic operations to get 753829. Since the target number 753829 is larger than most individual numbers, addition or subtraction might be effective. For example, 804369 - 550364 = 254005. Then adding 476280: 254005 + 476280 ... | Focus on differences like (804369 - 550364) and (743692 - 720148), then sum with 476280 to reach 753829. |
[
8502,
4054,
2371
] | 2,077 | <think> Start by examining combinations of the numbers: 8502, 4054, and 2371. We want to reach 2077. Let's try subtracting 2371 from 4054: 4054 - 2371 = 1683. Then, try subtracting 1683 from 8502: 8502 - 1683 = 6819, too big. Try dividing 8502 by a number to bring it close. Try 8502 / 4 = 2125.5, close to 2077. Try (85... | Focus on subtracting the sum of 4054 and 2371 from 8502 to get 2077. |
[
7034,
1472,
3851
] | 9,413 | <think> Let's try to create an equation using the numbers 7034, 1472, and 3851 to reach 9413. Notice that 7034 + 1472 = 8506, which is less than 9413, so maybe involving subtraction or multiplication is needed. Let's try 7034 + (3851 - 1472) = 7034 + 2379 = 9413. This works and uses each number once. </think><answer> 7... | Consider subtracting 1472 from 3851, then add the result to 7034 to reach 9413. |
[
48561,
64461,
86368
] | 26,654 | <think> I want to create an equation using 48561, 64461, and 86368 with basic operations to get 26654.
First, let's check if subtracting or dividing the numbers can get closer.
Try subtracting 48561 from 64461: 64461 - 48561 = 15900 (too small).
Try subtracting 26654 from 48561: 48561 - 26654 = 21907.
Try dividing 8636... | Focus on differences: 86368 - 48561 = 37807; 64461 - 37807 = 26654. |
[
378442,
453360,
224235
] | 607,567 | <think>To reach 607567 using 378442, 453360, and 224235 each once, consider addition and subtraction.
First, try adding 378442 and 453360: 378,442 + 453,360 = 831,802.
This is greater than 607,567.
Now, subtract 224,235 from 831,802: 831,802 - 224,235 = 607,567.
This matches the target number exactly.
So the equation i... | Focus on using addition for the two larger numbers first (378442 + 453360), then subtract the smallest number (224235) to reach 607567. |
[
4900,
4108,
1675,
1125
] | 1,342 | <think>Let's try to find a combination of operations among the numbers 4900, 4108, 1675, and 1125 that results in 1342, using each number exactly once.
First, note that 4900 / 1125 is approximately 4.3555, which doesn't help directly. Let's try 4108 - 1675 = 2433.
Now, 2433 - 4900 = -2467, not helpful.
Try 4108 - 49... | Try combining the numbers using addition and subtraction in sequence: start with 4900, subtract 4108, add 1675, then subtract 1125. |
[
96,
14,
6,
49,
35
] | 90 | <think>Let's consider possible operations on the numbers [96, 14, 6, 49, 35] to reach 90. We'll try some combinations:
Trying to subtract a combination from 96 to get 90: 96 - 6 = 90, perfect! So we used 96 and 6.
Is this valid? Yes, it uses only 96 and 6 and equals 90.
But the question asks to use all the numbers or... | Look for a pair of numbers from the list that when subtracted equals 90, especially consider 96 and 6. |
[
64112,
50172,
46934
] | 67,350 | <think> Let's try combining 50172 and 46934 first by addition: 50172 + 46934 = 97106. This is more than 67350, so perhaps subtract 64112: 97106 - 64112 = 32994, which is less than 67350. Alternatively, try 64112 + 50172 = 114284, which is much larger than 67350. How about 64112 - 46934 = 17178, then add 50172: 17178 + ... | Focus on subtracting 46934 from 64112 to get 17178, then add 50172 to reach 67350. |
[
5399,
7294,
1857,
9209
] | 1,627 | <think> Let's analyze the numbers and figure out how to combine them with basic operations to get 1627. Given that the target number is 1627, which is relatively smaller than all given numbers, subtraction or division might be needed.
First, look for operations that can reduce the large numbers to a value around 1627... | Look for subtractions in pairs that result in values which, when added together, equal 1627. Consider that (7294 - 9209) + (5399 - 1857) equals 1627. |
[
600504,
848596,
785990
] | 537,898 | <think>First, I observe the numbers: 600,504; 848,596; and 785,990, and aim to combine them with basic operations to get 537,898. I can try subtracting smaller from larger numbers and see what results I get.<br>848,596 - 785,990 = 62,606 (too small)<br>848,596 - 600,504 = 248,092 (still smaller than 537,898)<br>785,990... | Try adding two of the numbers (600504 and 785990) and then subtracting the third (848596) to reach 537898. |
[
89483,
77670,
46648
] | 58,461 | <think>Let's try using subtraction and addition with the given numbers to reach 58461.
First, subtract 46648 from 89483:
89483 - 46648 = 42835
Next, add 77670 to 42835:
42835 + 77670 = 120505 (too high)
Try subtracting 77670 instead:
89483 - 77670 = 11813
Add 46648 to 11813:
11813 + 46648 = 58461
This matches the ... | Try subtracting 77670 from 89483 to get a smaller number, then add 46648 to reach 58461. |
[
61,
31,
50,
17
] | 59 | <think>Let's consider how to combine the numbers 61, 31, 50, and 17 using basic operations to get 59. Notice that 61 - 31 = 30 and 50 / 17 is approximately 2.94, which might not help directly. Let's try (61 + 17) = 78 and maybe subtract one of the other numbers. 78 - 31 = 47 (not 59), 78 - 50 = 28 (not 59). What if we ... | Focus on combining 61 and 50 first, and then adding the other two numbers 31 and 17. |
[
7789,
4474,
2544
] | 9,719 | <think>Let's consider the numbers 7789, 4474, and 2544. Our goal is to create an equation using basic arithmetic operations (+, -, *, /) that equals 9719, using each number only once.
First, try adding 7789 and 2544: 7789 + 2544 = 10333, which is too large.
Try subtracting 2544 from 7789: 7789 - 2544 = 5245, which is... | Try combining addition and subtraction of the numbers 7789, 4474, and 2544 such that the result is 9719, for example: 7789 + 4474 - 2544 = 9719. |
[
2851,
4798,
4889
] | 2,760 | <think> First, I consider simple operations between the given numbers: 2851, 4798, and 4889. Trying subtraction: 4889 - 2851 = 2038, which is less than 2760. Next, 4798 - 2851 = 1947, still less than 2760. What about addition: 2851 + 4798 = 7649, too high. Maybe try division: 2851 / (4889 / 4798) = ? Let's calculate 48... | Consider using addition of two numbers and subtracting the third: (2851 + 4798) - 4889 = 2760. |
[
716,
586,
535
] | 767 | <think> Let's consider the numbers: 716, 586, and 535. We want to construct an equation that equals 767, using +, -, *, or /. Each number can only be used once. Because 716 is close to 767 and 535 is substantial, perhaps adding or subtracting could help. Try 716 + (535 / 535) = 716 + 1 = 717 (too small). Try 716 + (586... | Focus on adding and subtracting these numbers: 716 plus 586 minus 535 equals 767. |
[
313,
478,
356
] | 191 | <think> Let's consider the numbers 313, 478, and 356 and try to create an equation that equals 191 using basic arithmetic operations and each number only once. One approach is to try division and subtraction. For example, 478 - 313 = 165 which is close to 191, but not equal. Another way is to try division: 356 / (478 /... | Focus on the numbers 313, 478, and 356, and try subtracting the difference between 478 and 356 from 313. |
[
9341,
2368,
1725
] | 5,248 | <think>First, let's try to see if subtracting one number from another gives a useful intermediate result. 9341 - 2368 = 6973, which is larger than 5248. 9341 - 1725 = 7616, still larger. 2368 + 1725 = 4093, smaller than 5248.
If we try (2368 + 1725) = 4093, then 5248 - 4093 = 1155. Using 9341 alone cannot equal 1155 d... | Try subtracting the sum of the two smaller numbers (2368 and 1725) from the largest number (9341). |
[
17,
80,
30,
63
] | 4 | <think> Let's consider using division to reduce large numbers to smaller ones. Try dividing 80 by 20 to get 4, but we don't have 20. Let's try 80 divided by 20 (not available). How about (63 - 30) = 33, close but not quite useful. What if we do 80 / 20 again? No. Try 80 / 30, equals approximately 2.66, not 4. How about... | Try subtracting pairs of numbers and see if their difference can be combined to equal 4. Specifically, consider the differences (80 - 63) and (30 - 17). |
[
8489,
5798,
3298,
1023
] | 4,966 | <think> Let's try to combine the numbers to reach 4966. Notice that 5798 - 1023 equals 4775, which is close to 4966. Adding 3298 would be too large. Let's try 8489 - 3298 = 5191, and 5191 - 5798 = -607, which isn't helpful. How about (8489 - 5798) + 3298 = 2691 + 3298 = 5987. Not 4966, but close. Then 5987 - 1023 = 496... | Try subtracting pairs of numbers: (8489 - 5798) and (3298 - 1023), then adding the two results to reach 4966. |
[
2319,
1265,
8303
] | 9,357 | <think> I'll test combinations using addition and subtraction first. Adding 8303 and 1265 gives 9568, which is 211 more than 9357. Subtracting 2319 from 9568 gives 7249, which is too low. Trying other combinations, if I subtract 1265 from 9357, the result is 8092, close to 8303. If I subtract 2319 from 8303, I get 5984... | Focus on subtraction and addition combining 8303 and 1265 first. 8303 minus 1265 equals 7038. Then add 2319 to reach 9357. |
[
10040,
86125,
55018
] | 41,147 | <think>Let me try to find an expression using 10040, 86125, and 55018 each once to get 41147.<br>First, try subtraction: 86125 - 55018 = 31107, not 41147.<br>Try sum of 10040 + 31107 = 41147.<br>So, equation: 10040 + (86125 - 55018) = 41147.</think><answer>10040 + (86125 - 55018)</answer> | Try subtracting 55018 from 86125 which gives 31107, then add 10040 to reach 41147. |
[
7652,
7100,
3416,
1655
] | 9,681 | <think>Let's analyze the numbers: 7652, 7100, 3416, 1655. We need to combine these using +, -, *, / to get 9681. Since all numbers are quite large, multiplication might overshoot greatly. Using addition and subtraction seems more promising. Let's try 7652 + 3416 = 11068. Now, subtract 1655: 11068 - 1655 = 9413, which i... | Try subtracting 1655 from 7652, then adding 7100 and subtracting 3416 to get 9681. |
[
30727,
28887,
58688,
52273,
74612,
17023
] | 99,890 | <think>First, I'll try to find combinations that sum close to 99890. The largest numbers are 74612 and 28887; their sum is 103499, which is a bit higher than 99890. If I subtract 17023 from 74612, I get 57589. Adding 42273 brings us closer to 99890. Alternatively, adding 52273 and 58688 is 110961, which is too high. An... | Focus on adding the three largest numbers 74612, 52273, and 58688, then subtract other numbers to approach 99890. |
[
2,
75,
18
] | 95 | <think> Start by considering the numbers and how to reach 95. 75 + 18 = 93, close but not 95. 75 + 18 + 2 = 95, which uses all numbers once and sums to 95. Using basic addition satisfies the conditions. </think> <answer>75 + 18 + 2</answer> | Try adding the numbers 75, 18, and 2 to see if they sum to 95. |
[
81007,
21935,
17077
] | 76,149 | <think>Let's try to find an equation using the numbers 81007, 21935, and 17077, each used once, with basic arithmetic operations to get 76149.
First, notice that 81007 - 21935 = 59072, which is less than 76149.
Next, 21935 + 17077 = 39012, still less.
Now, try 81007 - (21935 - 17077) = 81007 - 5858 = 75149, close bu... | Focus on using subtraction and addition with the numbers 81007, 21935, and 17077 to reach 76149. Specifically, consider that 81007 - 21935 = 59072, and 59072 + 17077 = 76149. |
[
716500,
577562,
819881,
485915
] | 960,096 | <think>First, observe the numbers: 716500, 577562, 819881, 485915. We want to combine them using +, -, *, / to get exactly 960096, using each number once.
Try adding 819881 and 485915: 819881 + 485915 = 1,305,796. This is larger than 960,096, so perhaps subtract one of the other numbers.
Test 1,305,796 - 345,700 = ? ... | Consider the sum (716500 + 577562) and the difference (819881 - 485915). Their difference equals 960096. |
[
78721,
60734,
85973
] | 53,482 | <think> Let's consider subtracting two numbers and then using the third. For instance, 85973 - 60734 = 25239. Now add 78721: 25239 + 78721 = 103960, which is too big. How about subtracting in different order? 85973 - 78721 = 72452. Then subtract 60734: 72452 - 60734 = 11718, too small. Try 78721 - 60734 = 17987. Add 85... | Focus on subtraction results between given numbers: 85973 - 60734 = 25239 and 78721 - 60734 = 17987. Consider how sums or differences of these intermediate results may approach 53482. |
[
82,
5,
10
] | 32 | <think> Start by exploring how to combine 82, 5, and 10 with basic operations to get 32. Consider dividing 82 by 5: 82 / 5 = 16.4, which is not an integer, so it might be tricky. Try 82 divided by 10: 82 / 10 = 8.2, also not ideal. Try 5 * 10 = 50, then 82 - 50 = 32, which is exactly the target number. So the equation ... | Focus on the multiplication of 5 and 10 first, which equals 50, then subtract that from 82 to get 32. |
[
839,
628,
728,
608,
205
] | 296 | <think> Let's consider the numbers and see if any simple operations or combinations could lead to 296. Noticing that 608 divided by 2 equals 304, which is close to 296. Perhaps subtracting 8 from 304 yields 296. Now, 8 is not among the numbers, but 728 minus 720 equals 8, and 720 is not available. Alternatively, let's ... | Focus on differences: compute 628 - 205 = 423 and 728 - 608 = 120, then combine with 839 using subtraction to reach 296. |
[
817116,
374072,
449811
] | 892,855 | <think> Let's analyze the numbers and the target:
Numbers: 817,116; 374,072; 449,811
Target: 892,855
Try adding two numbers:
- 817,116 + 374,072 = 1,191,188 (too big)
- 817,116 + 449,811 = 1,266,927 (too big)
- 374,072 + 449,811 = 823,883 (less than target)
Try 374,072 + 449,811 = 823,883, now check how much more is ... | Focus on the subtraction between 449,811 and 374,072, which gives 75,739, then add 817,116 to reach the target 892,855. |
[
0,
37,
47,
68,
37,
9
] | 28 | <think>Let's explore combinations using the given numbers: 0, 37, 47, 68, 37, and 9. We need to achieve 28 using basic arithmetic, using each number only once. One path is to consider 37 - 9 = 28 directly. So, the equation could be 37 - 9 = 28. Since both 37 and 9 are in the list, and each is used once, and no other op... | Focus on using subtraction between 37 and 9 to get 28. |
[
269,
805,
722
] | 352 | <think> First, I will look for a combination of these numbers with basic operations to get 352. Let's try to find a way to use addition and subtraction to get close to 352. For example, 805 - 453 = 352, but 453 is not among the numbers. Let's try dividing one number by another. 722 - 369 = 353, close but not 352. Tryin... | Try subtracting the difference of 722 and 269 from 805. |
[
921,
334,
454
] | 801 | <think>First, let's consider using subtraction or addition to reach 801. For example, 921 - 334 = 587, which is less than 801, so perhaps not helpful directly. Next, 454 + 334 = 788, close to 801, difference 13. Alternatively, 921 - 454 = 467, less than 801. Maybe try multiplication or division. For instance, 334 / 454... | Consider subtracting the difference between 454 and 334 from 921 to reach 801. |
[
884087,
589003,
582101,
639049
] | 251,940 | <think>First, I look at the numbers: 884087, 589003, 582101, and 639049, and the target 251940. Since the target is much smaller than these numbers, perhaps subtraction or division is involved.
I try to find two numbers whose difference or division approximates 251940.
Let's check if (884087 - 639049) equals 245038, ... | Focus on differences of these large numbers: 884087 - 639049 = 245038 and 589003 - 582101 = 6902. Adding these results gives 251940. |
[
162,
832,
456
] | 538 | <think>Let's try to find an expression using 162, 832, and 456 with basic operations to yield 538. If we consider 832 - 456 = 376, then adding 162 gives 376 + 162 = 538. This uses each number once and basic operations.</think> <answer>832 - 456 + 162</answer> | Consider subtracting 456 from 832, then adding 162 to reach 538. |
[
63325,
29387,
54855
] | 37,857 | <think>First, consider the numbers 63325, 29387, 54855 and the target 37857. Let's try to find a combination using addition, subtraction, multiplication, or division that equals 37857.
Try: 54855 - 63325 + 29387
Calculate 54855 - 63325 = -8469
Then -8469 + 29387 = 20918, which is not 37857.
Try: 63325 - 54855 + 29387... | Focus on combining the numbers 63325, 54855, and 29387 with addition and subtraction to reach 37857; note that 63325 minus 54855 plus 29387 equals 37857. |
[
428471,
995072,
745880,
122142
] | 799,805 | <think>First, let's try combining the numbers using subtraction to approach the target 799,805. Notice that 995,072 - 122,142 = 872,930, which is close to 799,805. Then, subtracting 428,471 would overshoot because 872,930 - 428,471 = 444,459 (too small). Let's try 995,072 - 745,880 = 249,192 (too small). Try 428,471 + ... | Notice that adding 428471 and 122142 gives 550613, and subtracting 745880 from 995072 gives 249192. Adding these two results yields 799805. |
[
49982,
60935,
68227
] | 42,690 | <think> Let's try to combine these numbers using basic operations to reach 42690.
Consider using subtraction and addition:
60935 - 68227 = -7287
Now adding 49982: 49982 + (-7287) = 42695, which is close but not exactly 42690.
Try another approach:
68227 - 60935 = 7282
49982 - 7282 = 42700, close but not exact.
T... | Try subtracting the difference between two numbers from the third: compute 68227 - 49982 = 18245, then 60935 - 18245 = ? |
[
3034,
4324,
6241
] | 1,117 | <think>Let's examine the numbers 3034, 4324, and 6241 to find an equation that equals 1117. Since 6241 is quite large, we can attempt to use division to reduce it. Notably, 6241 divided by 3034 is approximately 2.058, which may not be helpful. Next, consider 6241 divided by 4324, which is approximately 1.44. Now, check... | Focus on subtracting the difference between 6241 and 4324 from 3034: 6241 - 4324 = 1917, then 3034 - 1917 = 1117. |
[
73340,
26271,
30760
] | 16,309 | <think>First, let's try to see if subtracting any of the numbers from another gets us close to 16309.
- 26271 - 16309 = 9952 (not in the list)
- 73340 - 30760 = 42580 (too big)
- 73340 - 26271 = 47069 (too big)
Try combining operations:
- (30760 - 26271) = 4489
- 73340 / 4.5 is roughly 16300 (approximate but not exac... | Try subtracting the sum of two numbers from the third: 73340 - (26271 + 30760) |
[
23817,
41129,
13260
] | 78,206 | <think> Let's try combining the numbers to reach 78206. Starting with 41129 + 13260 = 54389, which is less than 78206. Adding 23817 to 54389 gives 78206 exactly: 41129 + 13260 + 23817 = 78206. So the equation is 41129 + 13260 + 23817 = 78206. </think> <answer>41129 + 13260 + 23817</answer> | Add all three numbers: 41129 + 13260 + 23817 = 78206. |
[
1799,
4280,
2361
] | 3,718 | <think>Let's test using addition and subtraction since multiplication or division with these numbers will likely give a number either too large or too small.
Try 4280 - 2361 = 1919
Then 1799 + 1919 = 3718
This uses each number exactly once.
</think><answer>1799 + (4280 - 2361)</answer> | Try combining subtraction and addition with 4280 and 2361 first to get 1919, then add 1799 to reach 3718. |
[
55628,
19830,
39267
] | 36,191 | <think>Let's analyze the numbers and try operations to reach 36191. Adding 55628 and 19830 gives 75458, which is too large, so maybe subtraction or division is better. 55628 - 19830 = 35798, close to 36191 but not exact. Let's try 55628 - 39267 = 16361, too small. Alternatively, (55628 + 19830) / 2 = 75458 / 2 = 37729,... | Focus on subtracting 39267 from 55628, then adding 19830 to reach 36191. |
[
193067,
450929,
482805,
751220
] | 976,163 | <think> Consider the numbers 450929 and 482805. Their sum is 450929 + 482805 = 933734. Now, adding 193067 to this sum yields 933734 + 193067 = 1,126,801, which is more than 976,163. Let's try subtracting 193067: 933734 - 193067 = 740,667, which is less than 976,163. Next, check if subtracting 450929 from 751220 gives a... | Consider combining the numbers 751220 and 193067 through addition, then adjust by subtracting or adding the difference between 450929 and 482805. |
[
37,
78,
90
] | 49 | <think>Consider the numbers 37, 78, and 90. Try dividing 78 by a number to get something close to 49. For example, 78 - 37 = 41, which is less than 49. Try 90 - 41 = 49. So, (90 - (78 - 37)) = 49.</think><answer>90 - (78 - 37)</answer> | Look at differences between 78 and 37, and then subtract from 90 to reach 49. |
[
81,
82,
85
] | 78 | <think>Let's consider using subtraction and division to reduce these large numbers. 85 - 82 = 3, and 81 / 3 = 27, which is smaller than 78. Alternatively, 85 - 81 = 4, and 82 / 4 = 20.5, not an integer and less than 78. Another approach: 82 - 81 = 1, then 85 - 1 = 84, which is too high. Trying 85 - (82 / (85 - 81)) = 8... | Hint: Consider using subtraction to get 3 (85 - 82 = 3), then subtract that from 81. |
[
3153,
2063,
4195
] | 9,411 | <think>Given the numbers 3153, 2063, and 4195, I want to find an equation using these numbers each once with basic operations to get 9411.
Check sums:
3153 + 2063 + 4195 = 9411
So simply adding all three numbers gives 9411.</think> <answer>3153 + 2063 + 4195</answer> | Consider adding all three numbers together: 3153 + 2063 + 4195 = 9411. |
[
51,
76,
3,
86,
55
] | 9 | <think>Let's consider how to get 9 from these numbers: 51, 76, 3, 86, 55. One approach is to try combining subtraction to reduce large numbers first and then see if division or addition can help reach 9.
Notice that 76 - 55 = 21, which is divisible by 3 (21 / 3 = 7).
Then 86 - 76 = 10, which is close, but let's think... | Try combining subtraction and multiplication to get 9, focusing on (76 - 55) = 21 and (55 - 51) = 4, then use 3 as a multiplier to reach 9. |
[
4,
21,
0,
21
] | 4 | <think> I need to use the numbers 4, 21, 0, and 21 each once with basic arithmetic to get 4. Let's consider that using 0 might simplify the equation, perhaps by adding or subtracting it. Using 21 and 21 together might allow me to create a fraction close to 1 if I do 21/21 = 1. Then adding 4 and 0 appropriately can resu... | Remember that subtracting 21 from 21 gives 0, and adding 0 won't change the result. Use this to simplify the equation to 4. |
[
56,
11,
34
] | 33 | <think>First, consider the numbers 56, 11, and 34. To get a result of 33, a possible approach is to subtract one number from another and then adjust using the third number. For example, 56 - 34 equals 22, and 22 + 11 equals 33. So the equation can be (56 - 34) + 11.</think> <answer> (56 - 34) + 11 </answer> | Use subtraction between 56 and 34 to get 22, then add 11 to get 33. |
[
32125,
41322,
23858,
20146,
52345
] | 46,860 | <think> Let's attempt to find a combination using these numbers to reach 46860. Notice that 52345 - 20146 = 32199, close to 32125, but not exact. Alternatively, try 32125 + 20146 = 52271, which is greater than 46860. Now, 52345 - 41322 = 11023. Try adding 23858 to 11023: 11023 + 23858 = 34881, still less than 46860. No... | Consider combining 52345 and 20146 first, as their difference is 32199, close to 32125; also note combinations involving additions and subtractions around 46860. |
[
577,
707,
368,
207,
453
] | 256 | <think>Let's look for combinations of the numbers 577, 707, 368, 207, and 453 using basic arithmetic operations to get 256.
First, try to find if subtracting any two numbers or dividing them gets close to 256.
For example, 707 - 453 = 254, which is close to 256. Adding 207 to this would be 461, too high.
Try dividin... | Focus on differences like 707 - 453 = 254 and small divisions like 207 / 207 = 1, and 368 / 368 = 1, which sum up to 256. |
[
4240,
2246,
7293,
4560
] | 4,727 | <think>Let's analyze the numbers 4240, 2246, 7293, and 4560 to form an equation that equals 4727 using basic arithmetic operations.
First, note that 7293 is the largest number. If we subtract 2246 from 7293, we get:
7293 - 2246 = 5047
Now, 5047 is close to 4727, the target. The difference is 5047 - 4727 = 320.
Now,... | Focus on pairs of numbers for subtraction and addition. Notice 7293 - 2246 equals 5047, which is 320 more than 4727. Then, check if the difference 320 can be formed by subtracting 4240 and 4560. |
[
25928,
39294,
67903,
29062
] | 83,599 | <think>
First, consider adding two of the numbers and then see if the sum of the other two, or a combination via multiplication or division, can be used to make 83599.
Try adding 67903 and 25928: 67903 + 25928 = 93831, which is greater than 83599.
Try subtracting 29062: 93831 - 29062 = 64769, which is less.
Try subtrac... | Think about combining addition and subtraction of the numbers: (67903 + 25928) minus (39294 minus 29062) equals 83599. |
[
33,
6,
1,
11
] | 37 | <think>First, consider the numbers 33 and 6. 33 + 6 equals 39. Then, subtract 1 twice; however, we only have one 1, so the idea is to subtract 6 and 1 differently. Alternatively, 33 + 6 equals 39, and 39 - 11 equals 28, which is less than 37. Trying multiplication: 1 * 11 is 11, 33 + 11 equals 44, 44 - 6 equals 38, clo... | Consider combining subtraction and addition using 33, 6, 11, and 1 to reach 37. For example, subtract 6 from 33, add 11, then subtract 1. |
[
8730,
1855,
6900,
6356,
2402
] | 8,727 | <think> I need to use each number once: 8730, 1855, 6900, 6356, and 2402, with basic arithmetic operators to get 8727. Notice 8730 is very close to 8727, so maybe subtract a small number. 8730 - 3 = 8727. Now check if 3 can be formed from other numbers. For example, 2402 - 1855 = 547 (too big). 6900 - 6356 = 544 (no). ... | Focus on the fact that 8730 is very close to 8727, differing by 3. Try to see if you can use other numbers to create 3 with basic operations. |
[
15959,
10075,
28576
] | 34,460 | <think> Start by examining combinations that might sum or subtract to 34460
Check 28576 + 10075 = 38651 which is more than 34460. Subtract 15959 from this: 38651 - 15959 = 22692, which is less. Try 28576 - 15959 = 12617, add 10075: 12617 + 10075 = 22692, still less. Try 28576 + 15959 = 44535, subtract 10075: 44535 - 1... | Focus on summing 28576 and 15959, then subtracting 10075 to reach 34460. |
[
61437,
35238,
76531,
74373
] | 98,833 | <think>Let's consider an equation using addition and subtraction, since the target number 98833 is in between the given numbers. First, try adding some numbers: 61437 + 35238 = 96675, which is close to 98833 but less. The difference is 2158. Now, check 74373 - 76531 = -2158. Perfect! So, if we do (61437 + 35238) - (765... | Try adding 61437 and 35238 first, then subtract the difference between 76531 and 74373. |
[
975613,
106468,
659005,
923785,
571462
] | 571,462 | <think>Let's look for a combination of the given numbers [975613, 106468, 659005, 923785, 571462] and basic arithmetic operations (+, -, *, /) to produce 571462. Notice that 975613 - 404151 = 571462, but 404151 is not among the numbers. Let's try to find expressions using the numbers: For example, 659005 - 106468 = 552... | Focus on the target number 571462 and check if using it alone satisfies the equation. Consider that the problem may allow using just one number without operations. |
[
292,
602,
251,
871
] | 310 | <think>We need to use the numbers 292, 602, 251, and 871 exactly once in an equation with basic arithmetic operations to get 310.
Let's check if we can combine 292 and 251 first, maybe by addition: 292 + 251 = 543, which is greater than 310.
Try subtraction: 871 - 602 = 269, close to 310 but still off.
Try (871 - 602) ... | Focus on differences between pairs: 871 - 602 = 269 and 292 - 251 = 41, sum these to get 310. |
[
22,
30,
16,
2,
4,
9
] | 41 | <think>To reach 41, I can try to combine multiplication and addition with the given numbers. Consider (9 * 4) + (30 / 2). Calculating 9 * 4 = 36, and 30 / 2 = 15, so 36 + 15 = 51, which is too high. Try (22 + 9) + (16 / 4). 22 + 9 = 31, and 16 / 4 = 4, totaling 35, still less than 41. Another try: (30 - 16) + (9 * 4). ... | Use the division 16 / 4 = 4 to simplify the addition to reach 41 with numbers 22, 9, 2, and 4. |
[
598257,
148452,
145188
] | 601,521 | <think> First, let's look for a combination. The numbers are 598257, 148452, and 145188. The target is 601521.
Notice that 598257 is close to 601521. Let's see the difference:
601521 - 598257 = 3264.
What's the relation of the other two numbers?
145188 - 148452 = -3264.
This is interesting because 145188 - 148452 eq... | Notice that 601521 - 598257 equals 3264, and 145188 - 148452 equals -3264. |
[
57,
0,
98,
45
] | 57 | <think>We want to use the numbers 57, 0, 98, and 45 exactly once to create an equation that equals 57, using basic arithmetic operations.
Since 57 is one of the numbers, and the result must be 57, we can try to form an equation that simplifies back to 57 somehow.
One approach is to use the other numbers to add or sub... | Try using 0 multiplied by a term to eliminate some numbers, ensuring the overall result stays 57. |
[
795,
656,
306
] | 445 | <think>Let's consider the three numbers: 795, 656, and 306. We need to use each exactly once, with basic arithmetic operations, to get 445.<br>First, let's try combining two numbers and see if their difference or sum can simplify the problem.<br>795 - 656 = 139<br>Now, 139 and 306 are left to be used.<br>Try 306 / 139 ... | Try subtracting 656 from 795, then adding 306 to reach 445. |
[
365,
309,
265,
463
] | 254 | <think> Let's consider dividing 463 by 309 first: 463 / 309 ≈ 1.498. Then multiply by 365: 1.498 * 365 ≈ 546. Multiply by 265: 546 * 265 is very large, so this won't come down to 254 using basic operations.
Let's try subtracting: 463 - 309 = 154. Adding 265: 154 + 265 = 419, which is bigger than 254.
Try 365 - 309 = 56... | Focus on differences between numbers: 463, 309, 365, and 265; try subtracting pairs and adding results to get 254. |
[
201343,
608762,
119871,
103423
] | 793,657 | <think>Let's try to combine these numbers through addition and subtraction to reach 793657.
Start by adding 608762 and 201343:
608762 + 201343 = 810105
The target is 793657, which is less than 810105.
Now, subtract 103423 from 810105:
810105 - 103423 = 706682
Still less than 793657. Adding 119871 would exceed the t... | Focus on adding 608762 and 201343 first (sum: 810105), then subtract 119871, and finally add 103423 to reach 793657. |
[
48,
69,
47,
64,
72
] | 78 | <think> Let's try to combine some numbers to reach 78 using +, -, *, /. Note that directly adding any two numbers exceeds 78. For example, 72 + 6 = 78, but 6 is not in our list. Trying combinations: 72 - 64 = 8, 48 / 6 is not possible, but 69 - 47 = 22. Now, 8 * 9.75 = 78, but 9.75 is not available. Let's try 72 - 47 =... | Focus on using subtraction to create small numbers: 69 - 64 = 5 and 72 - 48 = 24, then multiply these results and add 47. |
[
17,
0,
82
] | 99 | <think> Let's try combining the numbers to reach 99. Notice that 82 + 17 equals 99, and 0 can be used without changing the value when added. So, the simplest equation is 82 + 17 + 0 = 99. </think> <answer>82 + 17 + 0</answer> | Focus on adding 82 and 17 to get close to 99, then consider how 0 can be added without changing the sum. |
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