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A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [41, 41, 84], create an equation that equals 83. You can use basic arithmetic operations ...
<State> [41, 41, 84] </State> <Try> 41 + 41 = 82 -> [41, 41, 84] </Try> <Try> 41 / 41 = 1 -> [1, 84] </Try> <State> [1, 84] </State> <Try> 84 - 1 = 83 -> [83] </Try> <State> [83] </State> <answer> (84 - (41 / 41)) = 83 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [53, 22, 24, 3], create an equation that equals 47. You can use basic arithmetic operatio...
<State> [3, 22, 24, 53] </State> <Try> 53 - 22 = 31 -> [3, 22, 24, 53] </Try> <Try> 53 - 24 = 29 -> [3, 22, 24, 53] </Try> <Try> 53 - 3 = 50 -> [3, 22, 24, 53] </Try> <Try> 24 - 22 = 2 -> [2, 3, 53] </Try> <State> [2, 3, 53] </State> <Try> 3 * 2 = 6 -> [6, 53] </Try> <State> [6, 53] </State> <Try> 53 - 6 = 47 -> [47] <...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [9, 24, 18], create an equation that equals 26. You can use basic arithmetic operations (...
<State> [9, 18, 24] </State> <Try> 18 / 9 = 2 -> [2, 24] </Try> <State> [2, 24] </State> <Try> 2 + 24 = 26 -> [26] </Try> <State> [26] </State> <answer> ((18 / 9) + 24) = 26 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [31, 82, 56, 42], create an equation that equals 47. You can use basic arithmetic operati...
<State> [31, 42, 56, 82] </State> <Try> 82 - 42 = 40 -> [31, 42, 56, 82] </Try> <Try> 56 - 31 = 25 -> [31, 42, 56, 82] </Try> <Try> 82 - 56 = 26 -> [31, 42, 56, 82] </Try> <Try> 82 - 31 = 51 -> [42, 51, 56] </Try> <State> [42, 51, 56] </State> <Try> 56 + 42 = 98 -> [51, 98] </Try> <State> [51, 98] </State> <Try> 98 - 5...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [14, 17, 63, 30], create an equation that equals 11. You can use basic arithmetic operati...
<State> [14, 17, 30, 63] </State> <Try> 30 - 17 = 13 -> [14, 17, 30, 63] </Try> <Try> 63 - 30 = 33 -> [14, 17, 33] </Try> <State> [14, 17, 33] </State> <Try> 17 - 14 = 3 -> [3, 33] </Try> <State> [3, 33] </State> <Try> 33 / 3 = 11 -> [11] </Try> <State> [11] </State> <answer> ((63 - 30) / (17 - 14)) = 11 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [2, 27, 84, 63], create an equation that equals 50. You can use basic arithmetic operatio...
<State> [2, 27, 63, 84] </State> <Try> 27 - 2 = 25 -> [2, 27, 63, 84] </Try> <Try> 63 - 27 = 36 -> [2, 27, 63, 84] </Try> <Try> 84 / 2 = 42 -> [2, 27, 63, 84] </Try> <Try> 2 + 27 = 29 -> [29, 63, 84] </Try> <State> [29, 63, 84] </State> <Try> 84 - 63 = 21 -> [21, 29] </Try> <State> [21, 29] </State> <Try> 29 + 21 = 50 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [44, 85, 21], create an equation that equals 20. You can use basic arithmetic operations ...
<State> [21, 44, 85] </State> <Try> 85 - 44 = 41 -> [21, 41] </Try> <State> [21, 41] </State> <Try> 41 - 21 = 20 -> [20] </Try> <State> [20] </State> <answer> ((85 - 44) - 21) = 20 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [78, 2, 82, 81], create an equation that equals 78. You can use basic arithmetic operatio...
<State> [2, 78, 81, 82] </State> <Try> 82 - 81 = 1 -> [2, 78, 81, 82] </Try> <Try> 82 / 2 = 41 -> [2, 78, 81, 82] </Try> <Try> 81 * 2 = 162 -> [2, 78, 81, 82] </Try> <Try> 82 - 2 = 80 -> [78, 80, 81] </Try> <State> [78, 80, 81] </State> <Try> 81 - 80 = 1 -> [1, 78] </Try> <State> [1, 78] </State> <Try> 78 * 1 = 78 -> [...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [18, 62, 72], create an equation that equals 58. You can use basic arithmetic operations ...
<State> [18, 62, 72] </State> <Try> 72 - 18 = 54 -> [18, 62, 72] </Try> <Try> 72 - 62 = 10 -> [18, 62, 72] </Try> <Try> 62 - 18 = 44 -> [18, 62, 72] </Try> <Try> 72 / 18 = 4 -> [4, 62] </Try> <State> [4, 62] </State> <Try> 62 - 4 = 58 -> [58] </Try> <State> [58] </State> <answer> (62 - (72 / 18)) = 58 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [80, 94, 19, 89], create an equation that equals 35. You can use basic arithmetic operati...
<State> [19, 80, 89, 94] </State> <Try> 80 - 19 = 61 -> [19, 80, 89, 94] </Try> <Try> 89 - 80 = 9 -> [19, 80, 89, 94] </Try> <Try> 94 - 80 = 14 -> [19, 80, 89, 94] </Try> <Try> 94 - 89 = 5 -> [5, 19, 80] </Try> <State> [5, 19, 80] </State> <Try> 80 / 5 = 16 -> [16, 19] </Try> <State> [16, 19] </State> <Try> 19 + 16 = 3...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [91, 13, 41, 63], create an equation that equals 99. You can use basic arithmetic operati...
<State> [13, 41, 63, 91] </State> <Try> 63 - 41 = 22 -> [13, 41, 63, 91] </Try> <Try> 41 - 13 = 28 -> [13, 41, 63, 91] </Try> <Try> 41 + 63 = 104 -> [13, 91, 104] </Try> <State> [13, 91, 104] </State> <Try> 104 / 13 = 8 -> [8, 91] </Try> <State> [8, 91] </State> <Try> 91 + 8 = 99 -> [99] </Try> <State> [99] </State> <a...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [3, 45, 88, 46], create an equation that equals 86. You can use basic arithmetic operatio...
<State> [3, 45, 46, 88] </State> <Try> 46 - 45 = 1 -> [3, 45, 46, 88] </Try> <Try> 88 - 46 = 42 -> [3, 45, 46, 88] </Try> <Try> 3 + 45 = 48 -> [46, 48, 88] </Try> <State> [46, 48, 88] </State> <Try> 88 + 46 = 134 -> [48, 134] </Try> <State> [48, 134] </State> <Try> 134 - 48 = 86 -> [86] </Try> <State> [86] </State> <an...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [61, 59, 53, 57], create an equation that equals 55. You can use basic arithmetic operati...
<State> [53, 57, 59, 61] </State> <Try> 57 - 53 = 4 -> [53, 57, 59, 61] </Try> <Try> 61 - 59 = 2 -> [2, 53, 57] </Try> <State> [2, 53, 57] </State> <Try> 53 + 57 = 110 -> [2, 110] </Try> <State> [2, 110] </State> <Try> 110 / 2 = 55 -> [55] </Try> <State> [55] </State> <answer> ((53 + 57) / (61 - 59)) = 55 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [39, 43, 12, 7], create an equation that equals 20. You can use basic arithmetic operatio...
<State> [7, 12, 39, 43] </State> <Try> 12 + 7 = 19 -> [7, 12, 39, 43] </Try> <Try> 43 - 12 = 31 -> [7, 12, 39, 43] </Try> <Try> 39 - 12 = 27 -> [7, 12, 39, 43] </Try> <Try> 43 - 39 = 4 -> [4, 7, 12] </Try> <State> [4, 7, 12] </State> <Try> 12 - 7 = 5 -> [4, 5] </Try> <State> [4, 5] </State> <Try> 4 * 5 = 20 -> [20] </T...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [46, 17, 79, 73], create an equation that equals 23. You can use basic arithmetic operati...
<State> [17, 46, 73, 79] </State> <Try> 73 - 46 = 27 -> [17, 46, 73, 79] </Try> <Try> 46 - 17 = 29 -> [29, 73, 79] </Try> <State> [29, 73, 79] </State> <Try> 79 - 73 = 6 -> [6, 29] </Try> <State> [6, 29] </State> <Try> 29 - 6 = 23 -> [23] </Try> <State> [23] </State> <answer> ((46 - 17) - (79 - 73)) = 23 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [42, 99, 1, 15], create an equation that equals 73. You can use basic arithmetic operatio...
<State> [1, 15, 42, 99] </State> <Try> 99 - 42 = 57 -> [1, 15, 57] </Try> <State> [1, 15, 57] </State> <Try> 57 + 15 = 72 -> [1, 72] </Try> <State> [1, 72] </State> <Try> 72 + 1 = 73 -> [73] </Try> <State> [73] </State> <answer> (((99 - 42) + 15) + 1) = 73 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [41, 72, 69, 3], create an equation that equals 97. You can use basic arithmetic operatio...
<State> [3, 41, 69, 72] </State> <Try> 72 - 3 = 69 -> [3, 41, 69, 72] </Try> <Try> 41 + 69 = 110 -> [3, 41, 69, 72] </Try> <Try> 72 / 3 = 24 -> [3, 41, 69, 72] </Try> <Try> 72 - 41 = 31 -> [3, 31, 69] </Try> <State> [3, 31, 69] </State> <Try> 31 + 69 = 100 -> [3, 100] </Try> <State> [3, 100] </State> <Try> 100 - 3 = 97...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [99, 60, 61, 30], create an equation that equals 36. You can use basic arithmetic operati...
<State> [30, 60, 61, 99] </State> <Try> 60 - 30 = 30 -> [30, 60, 61, 99] </Try> <Try> 99 - 60 = 39 -> [30, 60, 61, 99] </Try> <Try> 61 - 30 = 31 -> [30, 60, 61, 99] </Try> <Try> 99 - 61 = 38 -> [30, 38, 60] </Try> <State> [30, 38, 60] </State> <Try> 60 / 30 = 2 -> [2, 38] </Try> <State> [2, 38] </State> <Try> 38 - 2 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [10, 39, 69, 60], create an equation that equals 38. You can use basic arithmetic operati...
<State> [10, 39, 60, 69] </State> <Try> 69 - 39 = 30 -> [10, 39, 60, 69] </Try> <Try> 60 - 39 = 21 -> [10, 39, 60, 69] </Try> <Try> 60 / 10 = 6 -> [10, 39, 60, 69] </Try> <Try> 39 - 10 = 29 -> [29, 60, 69] </Try> <State> [29, 60, 69] </State> <Try> 69 - 60 = 9 -> [9, 29] </Try> <State> [9, 29] </State> <Try> 29 + 9 = 3...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [88, 77, 99, 49], create an equation that equals 61. You can use basic arithmetic operati...
<State> [49, 77, 88, 99] </State> <Try> 99 - 88 = 11 -> [49, 77, 88, 99] </Try> <Try> 77 - 49 = 28 -> [49, 77, 88, 99] </Try> <Try> 99 - 77 = 22 -> [49, 77, 88, 99] </Try> <Try> 88 - 77 = 11 -> [11, 49, 99] </Try> <State> [11, 49, 99] </State> <Try> 99 - 49 = 50 -> [11, 50] </Try> <State> [11, 50] </State> <Try> 11 + 5...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [86, 17, 18], create an equation that equals 51. You can use basic arithmetic operations ...
<State> [17, 18, 86] </State> <Try> 86 - 17 = 69 -> [17, 18, 86] </Try> <Try> 86 - 18 = 68 -> [17, 68] </Try> <State> [17, 68] </State> <Try> 68 - 17 = 51 -> [51] </Try> <State> [51] </State> <answer> ((86 - 18) - 17) = 51 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [45, 7, 83, 34], create an equation that equals 11. You can use basic arithmetic operatio...
<State> [7, 34, 45, 83] </State> <Try> 83 - 45 = 38 -> [7, 34, 38] </Try> <State> [7, 34, 38] </State> <Try> 34 - 7 = 27 -> [27, 38] </Try> <State> [27, 38] </State> <Try> 38 - 27 = 11 -> [11] </Try> <State> [11] </State> <answer> ((83 - 45) - (34 - 7)) = 11 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [56, 28, 79, 83], create an equation that equals 24. You can use basic arithmetic operati...
<State> [28, 56, 79, 83] </State> <Try> 56 - 28 = 28 -> [28, 79, 83] </Try> <State> [28, 79, 83] </State> <Try> 83 - 79 = 4 -> [4, 28] </Try> <State> [4, 28] </State> <Try> 28 - 4 = 24 -> [24] </Try> <State> [24] </State> <answer> ((56 - 28) - (83 - 79)) = 24 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [92, 34, 14, 5], create an equation that equals 23. You can use basic arithmetic operatio...
<State> [5, 14, 34, 92] </State> <Try> 92 - 34 = 58 -> [5, 14, 34, 92] </Try> <Try> 92 - 5 = 87 -> [5, 14, 34, 92] </Try> <Try> 92 * 5 = 460 -> [14, 34, 460] </Try> <State> [14, 34, 460] </State> <Try> 34 - 14 = 20 -> [20, 460] </Try> <State> [20, 460] </State> <Try> 460 / 20 = 23 -> [23] </Try> <State> [23] </State> <...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [16, 28, 84], create an equation that equals 19. You can use basic arithmetic operations ...
<State> [16, 28, 84] </State> <Try> 84 / 28 = 3 -> [3, 16] </Try> <State> [3, 16] </State> <Try> 3 + 16 = 19 -> [19] </Try> <State> [19] </State> <answer> ((84 / 28) + 16) = 19 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [76, 75, 42, 54], create an equation that equals 95. You can use basic arithmetic operati...
<State> [42, 54, 75, 76] </State> <Try> 76 + 75 = 151 -> [42, 54, 75, 76] </Try> <Try> 76 * 75 = 5700 -> [42, 54, 75, 76] </Try> <Try> 54 - 42 = 12 -> [42, 54, 75, 76] </Try> <Try> 54 + 42 = 96 -> [75, 76, 96] </Try> <State> [75, 76, 96] </State> <Try> 76 - 75 = 1 -> [1, 96] </Try> <State> [1, 96] </State> <Try> 96 - 1...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [60, 36, 2, 94], create an equation that equals 35. You can use basic arithmetic operatio...
<State> [2, 36, 60, 94] </State> <Try> 94 - 60 = 34 -> [2, 36, 60, 94] </Try> <Try> 60 / 2 = 30 -> [2, 36, 60, 94] </Try> <Try> 94 - 36 = 58 -> [2, 36, 60, 94] </Try> <Try> 60 - 36 = 24 -> [2, 24, 94] </Try> <State> [2, 24, 94] </State> <Try> 94 - 24 = 70 -> [2, 70] </Try> <State> [2, 70] </State> <Try> 70 / 2 = 35 -> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [3, 62, 86, 40], create an equation that equals 64. You can use basic arithmetic operatio...
<State> [3, 40, 62, 86] </State> <Try> 86 - 62 = 24 -> [3, 40, 62, 86] </Try> <Try> 62 + 3 = 65 -> [3, 40, 62, 86] </Try> <Try> 86 - 40 = 46 -> [3, 40, 62, 86] </Try> <Try> 3 + 40 = 43 -> [43, 62, 86] </Try> <State> [43, 62, 86] </State> <Try> 86 / 43 = 2 -> [2, 62] </Try> <State> [2, 62] </State> <Try> 62 + 2 = 64 -> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [27, 88, 11, 80], create an equation that equals 30. You can use basic arithmetic operati...
<State> [11, 27, 80, 88] </State> <Try> 88 / 11 = 8 -> [11, 27, 80, 88] </Try> <Try> 80 - 27 = 53 -> [11, 27, 80, 88] </Try> <Try> 88 - 11 = 77 -> [11, 27, 80, 88] </Try> <Try> 80 - 88 = -8 -> [-8, 11, 27] </Try> <State> [-8, 11, 27] </State> <Try> -8 + 11 = 3 -> [3, 27] </Try> <State> [3, 27] </State> <Try> 3 + 27 = 3...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [15, 50, 47, 60], create an equation that equals 52. You can use basic arithmetic operati...
<State> [15, 47, 50, 60] </State> <Try> 60 - 47 = 13 -> [13, 15, 50] </Try> <State> [13, 15, 50] </State> <Try> 15 - 13 = 2 -> [2, 50] </Try> <State> [2, 50] </State> <Try> 2 + 50 = 52 -> [52] </Try> <State> [52] </State> <answer> ((15 - (60 - 47)) + 50) = 52 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [9, 72, 91, 27], create an equation that equals 89. You can use basic arithmetic operatio...
<State> [9, 27, 72, 91] </State> <Try> 91 - 9 = 82 -> [9, 27, 72, 91] </Try> <Try> 91 + 9 = 100 -> [9, 27, 72, 91] </Try> <Try> 91 - 72 = 19 -> [9, 27, 72, 91] </Try> <Try> 9 + 27 = 36 -> [36, 72, 91] </Try> <State> [36, 72, 91] </State> <Try> 72 / 36 = 2 -> [2, 91] </Try> <State> [2, 91] </State> <Try> 91 - 2 = 89 -> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [96, 98, 29], create an equation that equals 27. You can use basic arithmetic operations ...
<State> [29, 96, 98] </State> <Try> 98 - 29 = 69 -> [29, 96, 98] </Try> <Try> 98 - 96 = 2 -> [2, 29] </Try> <State> [2, 29] </State> <Try> 29 - 2 = 27 -> [27] </Try> <State> [27] </State> <answer> (29 - (98 - 96)) = 27 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [38, 25, 9, 3], create an equation that equals 51. You can use basic arithmetic operation...
<State> [3, 9, 25, 38] </State> <Try> 25 - 9 = 16 -> [3, 9, 25, 38] </Try> <Try> 38 + 25 = 63 -> [3, 9, 63] </Try> <State> [3, 9, 63] </State> <Try> 63 - 9 = 54 -> [3, 54] </Try> <State> [3, 54] </State> <Try> 54 - 3 = 51 -> [51] </Try> <State> [51] </State> <answer> (((38 + 25) - 9) - 3) = 51 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [21, 92, 69, 37], create an equation that equals 39. You can use basic arithmetic operati...
<State> [21, 37, 69, 92] </State> <Try> 21 + 37 = 58 -> [21, 37, 69, 92] </Try> <Try> 69 - 21 = 48 -> [21, 37, 69, 92] </Try> <Try> 92 - 37 = 55 -> [21, 37, 69, 92] </Try> <Try> 92 - 69 = 23 -> [21, 23, 37] </Try> <State> [21, 23, 37] </State> <Try> 23 + 37 = 60 -> [21, 60] </Try> <State> [21, 60] </State> <Try> 60 - 2...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [91, 89, 86, 20], create an equation that equals 33. You can use basic arithmetic operati...
<State> [20, 86, 89, 91] </State> <Try> 89 - 86 = 3 -> [20, 86, 89, 91] </Try> <Try> 91 - 86 = 5 -> [20, 86, 89, 91] </Try> <Try> 89 + 20 = 109 -> [20, 86, 89, 91] </Try> <Try> 91 - 89 = 2 -> [2, 20, 86] </Try> <State> [2, 20, 86] </State> <Try> 86 - 20 = 66 -> [2, 66] </Try> <State> [2, 66] </State> <Try> 66 / 2 = 33 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [29, 58, 46, 12], create an equation that equals 30. You can use basic arithmetic operati...
<State> [12, 29, 46, 58] </State> <Try> 58 - 29 = 29 -> [12, 29, 46, 58] </Try> <Try> 29 + 12 = 41 -> [12, 29, 46, 58] </Try> <Try> 46 - 12 = 34 -> [12, 29, 46, 58] </Try> <Try> 58 - 46 = 12 -> [12, 12, 29] </Try> <State> [12, 12, 29] </State> <Try> 12 / 12 = 1 -> [1, 29] </Try> <State> [1, 29] </State> <Try> 29 + 1 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [48, 50, 48, 2], create an equation that equals 51. You can use basic arithmetic operatio...
<State> [2, 48, 48, 50] </State> <Try> 50 - 48 = 2 -> [2, 48, 48, 50] </Try> <Try> 48 + 2 = 50 -> [2, 48, 48, 50] </Try> <Try> 2 + 2 = 4 -> [2, 48, 48, 50] </Try> <Try> 48 / 48 = 1 -> [1, 2, 50] </Try> <State> [1, 2, 50] </State> <Try> 50 + 2 = 52 -> [1, 52] </Try> <State> [1, 52] </State> <Try> 52 - 1 = 51 -> [51] </T...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [18, 26, 24, 49], create an equation that equals 46. You can use basic arithmetic operati...
<State> [18, 24, 26, 49] </State> <Try> 18 + 26 = 44 -> [18, 24, 26, 49] </Try> <Try> 24 - 18 = 6 -> [18, 24, 26, 49] </Try> <Try> 26 - 24 = 2 -> [18, 24, 26, 49] </Try> <Try> 26 - 18 = 8 -> [8, 24, 49] </Try> <State> [8, 24, 49] </State> <Try> 24 / 8 = 3 -> [3, 49] </Try> <State> [3, 49] </State> <Try> 49 - 3 = 46 -> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [90, 89, 47], create an equation that equals 47. You can use basic arithmetic operations ...
<State> [47, 89, 90] </State> <Try> 90 + 89 = 179 -> [47, 89, 90] </Try> <Try> 90 * 89 = 8010 -> [47, 89, 90] </Try> <Try> 90 - 89 = 1 -> [1, 47] </Try> <State> [1, 47] </State> <Try> 47 * 1 = 47 -> [47] </Try> <State> [47] </State> <answer> (47 * (90 - 89)) = 47 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [46, 19, 2, 18], create an equation that equals 22. You can use basic arithmetic operatio...
<State> [2, 18, 19, 46] </State> <Try> 46 / 2 = 23 -> [18, 19, 23] </Try> <State> [18, 19, 23] </State> <Try> 19 - 18 = 1 -> [1, 23] </Try> <State> [1, 23] </State> <Try> 23 - 1 = 22 -> [22] </Try> <State> [22] </State> <answer> ((46 / 2) - (19 - 18)) = 22 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [17, 3, 62], create an equation that equals 76. You can use basic arithmetic operations (...
<State> [3, 17, 62] </State> <Try> 17 + 3 = 20 -> [3, 17, 62] </Try> <Try> 62 + 3 = 65 -> [3, 17, 62] </Try> <Try> 17 * 3 = 51 -> [3, 17, 62] </Try> <Try> 17 + 62 = 79 -> [3, 79] </Try> <State> [3, 79] </State> <Try> 79 - 3 = 76 -> [76] </Try> <State> [76] </State> <answer> ((17 + 62) - 3) = 76 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [16, 19, 51, 52], create an equation that equals 54. You can use basic arithmetic operati...
<State> [16, 19, 51, 52] </State> <Try> 51 - 16 = 35 -> [16, 19, 51, 52] </Try> <Try> 52 - 19 = 33 -> [16, 19, 51, 52] </Try> <Try> 52 + 19 = 71 -> [16, 19, 51, 52] </Try> <Try> 51 - 19 = 32 -> [16, 32, 52] </Try> <State> [16, 32, 52] </State> <Try> 32 / 16 = 2 -> [2, 52] </Try> <State> [2, 52] </State> <Try> 52 + 2 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [49, 57, 59], create an equation that equals 98. You can use basic arithmetic operations ...
<State> [49, 57, 59] </State> <Try> 59 - 57 = 2 -> [2, 49] </Try> <State> [2, 49] </State> <Try> 49 * 2 = 98 -> [98] </Try> <State> [98] </State> <answer> (49 * (59 - 57)) = 98 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [15, 44, 22, 3], create an equation that equals 14. You can use basic arithmetic operatio...
<State> [3, 15, 22, 44] </State> <Try> 44 - 22 = 22 -> [3, 15, 22, 44] </Try> <Try> 22 - 15 = 7 -> [3, 15, 22, 44] </Try> <Try> 44 / 22 = 2 -> [2, 3, 15] </Try> <State> [2, 3, 15] </State> <Try> 15 - 3 = 12 -> [2, 12] </Try> <State> [2, 12] </State> <Try> 2 + 12 = 14 -> [14] </Try> <State> [14] </State> <answer> ((44 /...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [92, 75, 13, 76], create an equation that equals 78. You can use basic arithmetic operati...
<State> [13, 75, 76, 92] </State> <Try> 92 - 13 = 79 -> [13, 75, 76, 92] </Try> <Try> 92 + 75 = 167 -> [13, 76, 167] </Try> <State> [13, 76, 167] </State> <Try> 13 + 76 = 89 -> [89, 167] </Try> <State> [89, 167] </State> <Try> 167 - 89 = 78 -> [78] </Try> <State> [78] </State> <answer> ((92 + 75) - (13 + 76)) = 78 </an...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [79, 99, 56, 73], create an equation that equals 53. You can use basic arithmetic operati...
<State> [56, 73, 79, 99] </State> <Try> 99 - 73 = 26 -> [56, 73, 79, 99] </Try> <Try> 79 - 56 = 23 -> [56, 73, 79, 99] </Try> <Try> 73 - 56 = 17 -> [56, 73, 79, 99] </Try> <Try> 56 * 73 = 4088 -> [79, 99, 4088] </Try> <State> [79, 99, 4088] </State> <Try> 99 + 4088 = 4187 -> [79, 4187] </Try> <State> [79, 4187] </State...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [29, 92, 27], create an equation that equals 90. You can use basic arithmetic operations ...
<State> [27, 29, 92] </State> <Try> 92 - 27 = 65 -> [27, 29, 92] </Try> <Try> 92 - 29 = 63 -> [27, 63] </Try> <State> [27, 63] </State> <Try> 27 + 63 = 90 -> [90] </Try> <State> [90] </State> <answer> (27 + (92 - 29)) = 90 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [35, 37, 96, 64], create an equation that equals 34. You can use basic arithmetic operati...
<State> [35, 37, 64, 96] </State> <Try> 96 - 64 = 32 -> [32, 35, 37] </Try> <State> [32, 35, 37] </State> <Try> 37 - 35 = 2 -> [2, 32] </Try> <State> [2, 32] </State> <Try> 32 + 2 = 34 -> [34] </Try> <State> [34] </State> <answer> ((96 - 64) + (37 - 35)) = 34 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [60, 17, 12, 41], create an equation that equals 58. You can use basic arithmetic operati...
<State> [12, 17, 41, 60] </State> <Try> 41 - 17 = 24 -> [12, 24, 60] </Try> <State> [12, 24, 60] </State> <Try> 24 / 12 = 2 -> [2, 60] </Try> <State> [2, 60] </State> <Try> 60 - 2 = 58 -> [58] </Try> <State> [58] </State> <answer> (60 - ((41 - 17) / 12)) = 58 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [91, 72, 63], create an equation that equals 100. You can use basic arithmetic operations...
<State> [63, 72, 91] </State> <Try> 72 - 63 = 9 -> [9, 91] </Try> <State> [9, 91] </State> <Try> 9 + 91 = 100 -> [100] </Try> <State> [100] </State> <answer> ((72 - 63) + 91) = 100 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [96, 66, 35, 73], create an equation that equals 68. You can use basic arithmetic operati...
<State> [35, 66, 73, 96] </State> <Try> 96 - 73 = 23 -> [35, 66, 73, 96] </Try> <Try> 96 - 35 = 61 -> [61, 66, 73] </Try> <State> [61, 66, 73] </State> <Try> 73 - 66 = 7 -> [7, 61] </Try> <State> [7, 61] </State> <Try> 61 + 7 = 68 -> [68] </Try> <State> [68] </State> <answer> ((96 - 35) + (73 - 66)) = 68 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [43, 6, 84, 80], create an equation that equals 94. You can use basic arithmetic operatio...
<State> [6, 43, 80, 84] </State> <Try> 84 - 80 = 4 -> [6, 43, 80, 84] </Try> <Try> 84 * 80 = 6720 -> [6, 43, 80, 84] </Try> <Try> 43 + 6 = 49 -> [6, 43, 80, 84] </Try> <Try> 43 * 6 = 258 -> [80, 84, 258] </Try> <State> [80, 84, 258] </State> <Try> 84 + 80 = 164 -> [164, 258] </Try> <State> [164, 258] </State> <Try> 258...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [78, 49, 12, 52], create an equation that equals 67. You can use basic arithmetic operati...
<State> [12, 49, 52, 78] </State> <Try> 78 - 12 = 66 -> [12, 49, 52, 78] </Try> <Try> 52 - 49 = 3 -> [12, 49, 52, 78] </Try> <Try> 78 - 52 = 26 -> [12, 49, 52, 78] </Try> <Try> 78 * 12 = 936 -> [49, 52, 936] </Try> <State> [49, 52, 936] </State> <Try> 936 / 52 = 18 -> [18, 49] </Try> <State> [18, 49] </State> <Try> 49 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [66, 14, 66, 55], create an equation that equals 42. You can use basic arithmetic operati...
<State> [14, 55, 66, 66] </State> <Try> 66 - 55 = 11 -> [14, 55, 66, 66] </Try> <Try> 66 - 14 = 52 -> [14, 55, 66, 66] </Try> <Try> 66 - 66 = 0 -> [14, 55, 66, 66] </Try> <Try> 55 - 14 = 41 -> [41, 66, 66] </Try> <State> [41, 66, 66] </State> <Try> 66 / 66 = 1 -> [1, 41] </Try> <State> [1, 41] </State> <Try> 41 + 1 = 4...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [34, 44, 24, 28], create an equation that equals 62. You can use basic arithmetic operati...
<State> [24, 28, 34, 44] </State> <Try> 34 + 28 = 62 -> [24, 28, 34, 44] </Try> <Try> 44 + 24 = 68 -> [24, 28, 34, 44] </Try> <Try> 44 - 24 = 20 -> [24, 28, 34, 44] </Try> <Try> 44 - 34 = 10 -> [10, 24, 28] </Try> <State> [10, 24, 28] </State> <Try> 24 + 28 = 52 -> [10, 52] </Try> <State> [10, 52] </State> <Try> 10 + 5...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [78, 93, 63, 39], create an equation that equals 33. You can use basic arithmetic operati...
<State> [39, 63, 78, 93] </State> <Try> 78 / 39 = 2 -> [39, 63, 78, 93] </Try> <Try> 93 - 63 = 30 -> [39, 63, 78, 93] </Try> <Try> 78 - 39 = 39 -> [39, 63, 78, 93] </Try> <Try> 78 * 63 = 4914 -> [39, 93, 4914] </Try> <State> [39, 93, 4914] </State> <Try> 4914 / 39 = 126 -> [93, 126] </Try> <State> [93, 126] </State> <T...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [67, 9, 11, 44], create an equation that equals 89. You can use basic arithmetic operatio...
<State> [9, 11, 44, 67] </State> <Try> 67 + 11 = 78 -> [9, 11, 44, 67] </Try> <Try> 44 / 11 = 4 -> [9, 11, 44, 67] </Try> <Try> 11 - 9 = 2 -> [2, 44, 67] </Try> <State> [2, 44, 67] </State> <Try> 44 / 2 = 22 -> [22, 67] </Try> <State> [22, 67] </State> <Try> 67 + 22 = 89 -> [89] </Try> <State> [89] </State> <answer> (6...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [85, 67, 38, 54], create an equation that equals 50. You can use basic arithmetic operati...
<State> [38, 54, 67, 85] </State> <Try> 85 - 67 = 18 -> [38, 54, 67, 85] </Try> <Try> 54 - 38 = 16 -> [38, 54, 67, 85] </Try> <Try> 85 + 67 = 152 -> [38, 54, 152] </Try> <State> [38, 54, 152] </State> <Try> 152 / 38 = 4 -> [4, 54] </Try> <State> [4, 54] </State> <Try> 54 - 4 = 50 -> [50] </Try> <State> [50] </State> <a...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [45, 2, 36, 68], create an equation that equals 61. You can use basic arithmetic operatio...
<State> [2, 36, 45, 68] </State> <Try> 68 - 2 = 66 -> [2, 36, 45, 68] </Try> <Try> 45 + 36 = 81 -> [2, 36, 45, 68] </Try> <Try> 68 - 36 = 32 -> [2, 36, 45, 68] </Try> <Try> 68 - 45 = 23 -> [2, 23, 36] </Try> <State> [2, 23, 36] </State> <Try> 36 + 2 = 38 -> [23, 38] </Try> <State> [23, 38] </State> <Try> 23 + 38 = 61 -...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [39, 37, 86], create an equation that equals 88. You can use basic arithmetic operations ...
<State> [37, 39, 86] </State> <Try> 39 - 37 = 2 -> [2, 86] </Try> <State> [2, 86] </State> <Try> 2 + 86 = 88 -> [88] </Try> <State> [88] </State> <answer> ((39 - 37) + 86) = 88 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [85, 42, 44], create an equation that equals 83. You can use basic arithmetic operations ...
<State> [42, 44, 85] </State> <Try> 44 - 42 = 2 -> [2, 85] </Try> <State> [2, 85] </State> <Try> 85 - 2 = 83 -> [83] </Try> <State> [83] </State> <answer> (85 - (44 - 42)) = 83 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [13, 81, 58], create an equation that equals 36. You can use basic arithmetic operations ...
<State> [13, 58, 81] </State> <Try> 81 - 58 = 23 -> [13, 23] </Try> <State> [13, 23] </State> <Try> 23 + 13 = 36 -> [36] </Try> <State> [36] </State> <answer> ((81 - 58) + 13) = 36 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [14, 14, 2, 77], create an equation that equals 84. You can use basic arithmetic operatio...
<State> [2, 14, 14, 77] </State> <Try> 14 * 2 = 28 -> [2, 14, 14, 77] </Try> <Try> 14 * 14 = 196 -> [2, 14, 14, 77] </Try> <Try> 77 - 14 = 63 -> [2, 14, 14, 77] </Try> <Try> 14 / 2 = 7 -> [7, 14, 77] </Try> <State> [7, 14, 77] </State> <Try> 14 + 77 = 91 -> [7, 91] </Try> <State> [7, 91] </State> <Try> 91 - 7 = 84 -> [...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [24, 32, 18, 6], create an equation that equals 18. You can use basic arithmetic operatio...
<State> [6, 18, 24, 32] </State> <Try> 32 - 24 = 8 -> [6, 18, 24, 32] </Try> <Try> 18 / 6 = 3 -> [6, 18, 24, 32] </Try> <Try> 18 * 6 = 108 -> [6, 18, 24, 32] </Try> <Try> 24 / 6 = 4 -> [4, 18, 32] </Try> <State> [4, 18, 32] </State> <Try> 32 - 18 = 14 -> [4, 14] </Try> <State> [4, 14] </State> <Try> 4 + 14 = 18 -> [18]...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [19, 19, 61, 40], create an equation that equals 17. You can use basic arithmetic operati...
<State> [19, 19, 40, 61] </State> <Try> 19 - 19 = 0 -> [19, 19, 40, 61] </Try> <Try> 19 / 19 = 1 -> [19, 19, 40, 61] </Try> <Try> 40 - 19 = 21 -> [19, 19, 40, 61] </Try> <Try> 19 + 19 = 38 -> [38, 40, 61] </Try> <State> [38, 40, 61] </State> <Try> 61 - 40 = 21 -> [21, 38] </Try> <State> [21, 38] </State> <Try> 38 - 21 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [60, 77, 89, 43], create an equation that equals 87. You can use basic arithmetic operati...
<State> [43, 60, 77, 89] </State> <Try> 77 - 43 = 34 -> [43, 60, 77, 89] </Try> <Try> 89 - 77 = 12 -> [43, 60, 77, 89] </Try> <Try> 60 - 43 = 17 -> [43, 60, 77, 89] </Try> <Try> 77 + 43 = 120 -> [60, 89, 120] </Try> <State> [60, 89, 120] </State> <Try> 120 / 60 = 2 -> [2, 89] </Try> <State> [2, 89] </State> <Try> 89 - ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [19, 38, 57, 25], create an equation that equals 84. You can use basic arithmetic operati...
<State> [19, 25, 38, 57] </State> <Try> 38 + 57 = 95 -> [19, 25, 38, 57] </Try> <Try> 57 + 19 = 76 -> [19, 25, 38, 57] </Try> <Try> 57 - 19 = 38 -> [19, 25, 38, 57] </Try> <Try> 38 / 19 = 2 -> [2, 25, 57] </Try> <State> [2, 25, 57] </State> <Try> 57 + 25 = 82 -> [2, 82] </Try> <State> [2, 82] </State> <Try> 2 + 82 = 84...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [68, 80, 56, 92], create an equation that equals 90. You can use basic arithmetic operati...
<State> [56, 68, 80, 92] </State> <Try> 80 - 68 = 12 -> [56, 68, 80, 92] </Try> <Try> 92 - 56 = 36 -> [56, 68, 80, 92] </Try> <Try> 92 - 80 = 12 -> [56, 68, 80, 92] </Try> <Try> 80 + 56 = 136 -> [68, 92, 136] </Try> <State> [68, 92, 136] </State> <Try> 136 / 68 = 2 -> [2, 92] </Try> <State> [2, 92] </State> <Try> 92 - ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [17, 25, 25], create an equation that equals 18. You can use basic arithmetic operations ...
<State> [17, 25, 25] </State> <Try> 25 - 25 = 0 -> [17, 25, 25] </Try> <Try> 25 / 25 = 1 -> [1, 17] </Try> <State> [1, 17] </State> <Try> 17 + 1 = 18 -> [18] </Try> <State> [18] </State> <answer> (17 + (25 / 25)) = 18 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [42, 32, 7, 81], create an equation that equals 78. You can use basic arithmetic operatio...
<State> [7, 32, 42, 81] </State> <Try> 81 - 7 = 74 -> [7, 32, 42, 81] </Try> <Try> 32 + 42 = 74 -> [7, 32, 42, 81] </Try> <Try> 42 - 32 = 10 -> [7, 10, 81] </Try> <State> [7, 10, 81] </State> <Try> 7 + 81 = 88 -> [10, 88] </Try> <State> [10, 88] </State> <Try> 88 - 10 = 78 -> [78] </Try> <State> [78] </State> <answer> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [66, 75, 63, 27], create an equation that equals 45. You can use basic arithmetic operati...
<State> [27, 63, 66, 75] </State> <Try> 75 - 63 = 12 -> [27, 63, 66, 75] </Try> <Try> 66 - 27 = 39 -> [27, 63, 66, 75] </Try> <Try> 75 - 66 = 9 -> [9, 27, 63] </Try> <State> [9, 27, 63] </State> <Try> 63 - 27 = 36 -> [9, 36] </Try> <State> [9, 36] </State> <Try> 9 + 36 = 45 -> [45] </Try> <State> [45] </State> <answer>...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [48, 33, 71, 11], create an equation that equals 20. You can use basic arithmetic operati...
<State> [11, 33, 48, 71] </State> <Try> 71 - 33 = 38 -> [11, 33, 48, 71] </Try> <Try> 71 - 11 = 60 -> [11, 33, 48, 71] </Try> <Try> 33 * 11 = 363 -> [11, 33, 48, 71] </Try> <Try> 71 - 48 = 23 -> [11, 23, 33] </Try> <State> [11, 23, 33] </State> <Try> 33 / 11 = 3 -> [3, 23] </Try> <State> [3, 23] </State> <Try> 23 - 3 =...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [55, 58, 60, 56], create an equation that equals 27. You can use basic arithmetic operati...
<State> [55, 56, 58, 60] </State> <Try> 55 + 58 = 113 -> [55, 56, 58, 60] </Try> <Try> 60 - 56 = 4 -> [55, 56, 58, 60] </Try> <Try> 60 - 55 = 5 -> [55, 56, 58, 60] </Try> <Try> 60 - 58 = 2 -> [2, 55, 56] </Try> <State> [2, 55, 56] </State> <Try> 56 / 2 = 28 -> [28, 55] </Try> <State> [28, 55] </State> <Try> 55 - 28 = 2...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [36, 30, 13, 16], create an equation that equals 62. You can use basic arithmetic operati...
<State> [13, 16, 30, 36] </State> <Try> 36 + 30 = 66 -> [13, 16, 30, 36] </Try> <Try> 36 * 30 = 1080 -> [13, 16, 30, 36] </Try> <Try> 16 - 13 = 3 -> [13, 16, 30, 36] </Try> <Try> 36 - 30 = 6 -> [6, 13, 16] </Try> <State> [6, 13, 16] </State> <Try> 13 * 6 = 78 -> [16, 78] </Try> <State> [16, 78] </State> <Try> 78 - 16 =...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [25, 55, 99], create an equation that equals 19. You can use basic arithmetic operations ...
<State> [25, 55, 99] </State> <Try> 99 - 55 = 44 -> [25, 55, 99] </Try> <Try> 55 - 25 = 30 -> [25, 55, 99] </Try> <Try> 25 + 55 = 80 -> [80, 99] </Try> <State> [80, 99] </State> <Try> 99 - 80 = 19 -> [19] </Try> <State> [19] </State> <answer> (99 - (25 + 55)) = 19 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [69, 39, 42, 76], create an equation that equals 99. You can use basic arithmetic operati...
<State> [39, 42, 69, 76] </State> <Try> 69 + 39 = 108 -> [39, 42, 69, 76] </Try> <Try> 69 - 39 = 30 -> [39, 42, 69, 76] </Try> <Try> 76 - 42 = 34 -> [39, 42, 69, 76] </Try> <Try> 42 - 39 = 3 -> [3, 69, 76] </Try> <State> [3, 69, 76] </State> <Try> 69 / 3 = 23 -> [23, 76] </Try> <State> [23, 76] </State> <Try> 76 + 23 =...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [59, 45, 90, 92], create an equation that equals 12. You can use basic arithmetic operati...
<State> [45, 59, 90, 92] </State> <Try> 90 / 45 = 2 -> [45, 59, 90, 92] </Try> <Try> 92 - 59 = 33 -> [45, 59, 90, 92] </Try> <Try> 59 - 45 = 14 -> [14, 90, 92] </Try> <State> [14, 90, 92] </State> <Try> 92 - 90 = 2 -> [2, 14] </Try> <State> [2, 14] </State> <Try> 14 - 2 = 12 -> [12] </Try> <State> [12] </State> <answer...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [51, 90, 6, 31], create an equation that equals 48. You can use basic arithmetic operatio...
<State> [6, 31, 51, 90] </State> <Try> 90 / 6 = 15 -> [6, 31, 51, 90] </Try> <Try> 51 - 31 = 20 -> [6, 31, 51, 90] </Try> <Try> 31 - 6 = 25 -> [6, 31, 51, 90] </Try> <Try> 90 - 51 = 39 -> [6, 31, 39] </Try> <State> [6, 31, 39] </State> <Try> 39 - 31 = 8 -> [6, 8] </Try> <State> [6, 8] </State> <Try> 6 * 8 = 48 -> [48] ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [43, 18, 36, 41], create an equation that equals 30. You can use basic arithmetic operati...
<State> [18, 36, 41, 43] </State> <Try> 43 - 41 = 2 -> [18, 36, 41, 43] </Try> <Try> 36 - 18 = 18 -> [18, 36, 41, 43] </Try> <Try> 36 / 18 = 2 -> [18, 36, 41, 43] </Try> <Try> 43 - 18 = 25 -> [25, 36, 41] </Try> <State> [25, 36, 41] </State> <Try> 41 - 36 = 5 -> [5, 25] </Try> <State> [5, 25] </State> <Try> 25 + 5 = 30...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [90, 8, 84, 50], create an equation that equals 92. You can use basic arithmetic operatio...
<State> [8, 50, 84, 90] </State> <Try> 84 + 8 = 92 -> [8, 50, 84, 90] </Try> <Try> 90 - 50 = 40 -> [8, 50, 84, 90] </Try> <Try> 50 - 8 = 42 -> [42, 84, 90] </Try> <State> [42, 84, 90] </State> <Try> 84 / 42 = 2 -> [2, 90] </Try> <State> [2, 90] </State> <Try> 90 + 2 = 92 -> [92] </Try> <State> [92] </State> <answer> (9...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [26, 63, 24, 65], create an equation that equals 64. You can use basic arithmetic operati...
<State> [24, 26, 63, 65] </State> <Try> 63 / 63 = 1 -> [24, 26, 63, 65] </Try> <Try> 26 * 24 = 624 -> [24, 26, 63, 65] </Try> <Try> 65 - 63 = 2 -> [24, 26, 63, 65] </Try> <Try> 26 - 24 = 2 -> [2, 63, 65] </Try> <State> [2, 63, 65] </State> <Try> 63 + 65 = 128 -> [2, 128] </Try> <State> [2, 128] </State> <Try> 128 / 2 =...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [87, 98, 13], create an equation that equals 24. You can use basic arithmetic operations ...
<State> [13, 87, 98] </State> <Try> 87 + 98 = 185 -> [13, 87, 98] </Try> <Try> 98 - 13 = 85 -> [13, 87, 98] </Try> <Try> 87 - 13 = 74 -> [13, 87, 98] </Try> <Try> 98 - 87 = 11 -> [11, 13] </Try> <State> [11, 13] </State> <Try> 13 + 11 = 24 -> [24] </Try> <State> [24] </State> <answer> (13 + (98 - 87)) = 24 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [97, 1, 86], create an equation that equals 11. You can use basic arithmetic operations (...
<State> [1, 86, 97] </State> <Try> 97 - 86 = 11 -> [1, 11] </Try> <State> [1, 11] </State> <Try> 11 * 1 = 11 -> [11] </Try> <State> [11] </State> <answer> ((97 - 86) * 1) = 11 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [49, 79, 8, 46], create an equation that equals 84. You can use basic arithmetic operatio...
<State> [8, 46, 49, 79] </State> <Try> 49 - 46 = 3 -> [8, 46, 49, 79] </Try> <Try> 79 - 49 = 30 -> [8, 30, 46] </Try> <State> [8, 30, 46] </State> <Try> 8 + 46 = 54 -> [30, 54] </Try> <State> [30, 54] </State> <Try> 30 + 54 = 84 -> [84] </Try> <State> [84] </State> <answer> ((79 - 49) + (8 + 46)) = 84 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [18, 4, 78, 16], create an equation that equals 52. You can use basic arithmetic operatio...
<State> [4, 16, 18, 78] </State> <Try> 18 + 4 = 22 -> [4, 16, 18, 78] </Try> <Try> 16 * 4 = 64 -> [4, 16, 18, 78] </Try> <Try> 78 - 18 = 60 -> [4, 16, 18, 78] </Try> <Try> 16 - 4 = 12 -> [12, 18, 78] </Try> <State> [12, 18, 78] </State> <Try> 78 * 12 = 936 -> [18, 936] </Try> <State> [18, 936] </State> <Try> 936 / 18 =...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [80, 88, 85], create an equation that equals 77. You can use basic arithmetic operations ...
<State> [80, 85, 88] </State> <Try> 88 - 80 = 8 -> [80, 85, 88] </Try> <Try> 85 - 80 = 5 -> [80, 85, 88] </Try> <Try> 88 - 85 = 3 -> [3, 80] </Try> <State> [3, 80] </State> <Try> 80 - 3 = 77 -> [77] </Try> <State> [77] </State> <answer> (80 - (88 - 85)) = 77 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [11, 45, 55, 61], create an equation that equals 70. You can use basic arithmetic operati...
<State> [11, 45, 55, 61] </State> <Try> 61 + 11 = 72 -> [11, 45, 55, 61] </Try> <Try> 55 + 11 = 66 -> [11, 45, 55, 61] </Try> <Try> 45 + 11 = 56 -> [11, 45, 55, 61] </Try> <Try> 11 * 45 = 495 -> [55, 61, 495] </Try> <State> [55, 61, 495] </State> <Try> 495 / 55 = 9 -> [9, 61] </Try> <State> [9, 61] </State> <Try> 61 + ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [13, 94, 50, 38], create an equation that equals 94. You can use basic arithmetic operati...
<State> [13, 38, 50, 94] </State> <Try> 50 - 38 = 12 -> [13, 38, 50, 94] </Try> <Try> 38 - 13 = 25 -> [13, 38, 50, 94] </Try> <Try> 50 - 13 = 37 -> [37, 38, 94] </Try> <State> [37, 38, 94] </State> <Try> 38 - 37 = 1 -> [1, 94] </Try> <State> [1, 94] </State> <Try> 94 * 1 = 94 -> [94] </Try> <State> [94] </State> <answe...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [87, 17, 67, 85], create an equation that equals 87. You can use basic arithmetic operati...
<State> [17, 67, 85, 87] </State> <Try> 87 - 85 = 2 -> [17, 67, 85, 87] </Try> <Try> 67 - 17 = 50 -> [17, 67, 85, 87] </Try> <Try> 17 + 67 = 84 -> [84, 85, 87] </Try> <State> [84, 85, 87] </State> <Try> 85 - 84 = 1 -> [1, 87] </Try> <State> [1, 87] </State> <Try> 87 * 1 = 87 -> [87] </Try> <State> [87] </State> <answer...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [97, 51, 51, 10], create an equation that equals 87. You can use basic arithmetic operati...
<State> [10, 51, 51, 97] </State> <Try> 97 - 10 = 87 -> [51, 51, 87] </Try> <State> [51, 51, 87] </State> <Try> 51 - 51 = 0 -> [0, 87] </Try> <State> [0, 87] </State> <Try> 87 + 0 = 87 -> [87] </Try> <State> [87] </State> <answer> ((97 - 10) + (51 - 51)) = 87 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [21, 74, 18], create an equation that equals 77. You can use basic arithmetic operations ...
<State> [18, 21, 74] </State> <Try> 21 - 18 = 3 -> [3, 74] </Try> <State> [3, 74] </State> <Try> 74 + 3 = 77 -> [77] </Try> <State> [77] </State> <answer> (74 + (21 - 18)) = 77 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [26, 95, 84, 2], create an equation that equals 66. You can use basic arithmetic operatio...
<State> [2, 26, 84, 95] </State> <Try> 84 / 2 = 42 -> [2, 26, 84, 95] </Try> <Try> 26 / 2 = 13 -> [2, 26, 84, 95] </Try> <Try> 95 - 84 = 11 -> [2, 26, 84, 95] </Try> <Try> 84 - 26 = 58 -> [2, 58, 95] </Try> <State> [2, 58, 95] </State> <Try> 58 / 2 = 29 -> [29, 95] </Try> <State> [29, 95] </State> <Try> 95 - 29 = 66 ->...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [67, 38, 85], create an equation that equals 56. You can use basic arithmetic operations ...
<State> [38, 67, 85] </State> <Try> 67 - 38 = 29 -> [38, 67, 85] </Try> <Try> 85 - 38 = 47 -> [38, 67, 85] </Try> <Try> 85 - 67 = 18 -> [18, 38] </Try> <State> [18, 38] </State> <Try> 18 + 38 = 56 -> [56] </Try> <State> [56] </State> <answer> ((85 - 67) + 38) = 56 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [74, 63, 89], create an equation that equals 78. You can use basic arithmetic operations ...
<State> [63, 74, 89] </State> <Try> 89 - 63 = 26 -> [63, 74, 89] </Try> <Try> 74 + 63 = 137 -> [63, 74, 89] </Try> <Try> 74 - 63 = 11 -> [63, 74, 89] </Try> <Try> 89 - 74 = 15 -> [15, 63] </Try> <State> [15, 63] </State> <Try> 15 + 63 = 78 -> [78] </Try> <State> [78] </State> <answer> ((89 - 74) + 63) = 78 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [32, 10, 35, 16], create an equation that equals 50. You can use basic arithmetic operati...
<State> [10, 16, 32, 35] </State> <Try> 35 + 16 = 51 -> [10, 16, 32, 35] </Try> <Try> 35 + 10 = 45 -> [10, 16, 32, 35] </Try> <Try> 35 - 16 = 19 -> [10, 16, 32, 35] </Try> <Try> 32 / 16 = 2 -> [2, 10, 35] </Try> <State> [2, 10, 35] </State> <Try> 35 - 10 = 25 -> [2, 25] </Try> <State> [2, 25] </State> <Try> 2 * 25 = 50...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [12, 47, 43], create an equation that equals 78. You can use basic arithmetic operations ...
<State> [12, 43, 47] </State> <Try> 47 + 43 = 90 -> [12, 90] </Try> <State> [12, 90] </State> <Try> 90 - 12 = 78 -> [78] </Try> <State> [78] </State> <answer> ((47 + 43) - 12) = 78 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [32, 95, 85, 68], create an equation that equals 44. You can use basic arithmetic operati...
<State> [32, 68, 85, 95] </State> <Try> 95 - 85 = 10 -> [32, 68, 85, 95] </Try> <Try> 68 - 32 = 36 -> [32, 68, 85, 95] </Try> <Try> 95 * 68 = 6460 -> [32, 85, 6460] </Try> <State> [32, 85, 6460] </State> <Try> 6460 / 85 = 76 -> [32, 76] </Try> <State> [32, 76] </State> <Try> 76 - 32 = 44 -> [44] </Try> <State> [44] </S...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [44, 55, 77, 95], create an equation that equals 97. You can use basic arithmetic operati...
<State> [44, 55, 77, 95] </State> <Try> 77 - 44 = 33 -> [44, 55, 77, 95] </Try> <Try> 55 - 44 = 11 -> [44, 55, 77, 95] </Try> <Try> 95 - 77 = 18 -> [44, 55, 77, 95] </Try> <Try> 77 - 55 = 22 -> [22, 44, 95] </Try> <State> [22, 44, 95] </State> <Try> 44 / 22 = 2 -> [2, 95] </Try> <State> [2, 95] </State> <Try> 95 + 2 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [25, 19, 55], create an equation that equals 11. You can use basic arithmetic operations ...
<State> [19, 25, 55] </State> <Try> 55 - 25 = 30 -> [19, 25, 55] </Try> <Try> 55 - 19 = 36 -> [19, 25, 55] </Try> <Try> 25 - 19 = 6 -> [19, 25, 55] </Try> <Try> 25 + 19 = 44 -> [44, 55] </Try> <State> [44, 55] </State> <Try> 55 - 44 = 11 -> [11] </Try> <State> [11] </State> <answer> (55 - (25 + 19)) = 11 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [62, 8, 66], create an equation that equals 12. You can use basic arithmetic operations (...
<State> [8, 62, 66] </State> <Try> 66 - 62 = 4 -> [8, 62, 66] </Try> <Try> 66 + 62 = 128 -> [8, 62, 66] </Try> <Try> 62 + 8 = 70 -> [8, 62, 66] </Try> <Try> 62 - 8 = 54 -> [54, 66] </Try> <State> [54, 66] </State> <Try> 66 - 54 = 12 -> [12] </Try> <State> [12] </State> <answer> (66 - (62 - 8)) = 12 </answer>