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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 [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations ...
<state> [32, 36, 95] </state> <try> 36 - 32 = 4 -> [4, 95] </try> <state> [4, 95] </state> <try> 95 - 4 = 91 -> [91] </try> <state> [91] </state> <answer> (95 - (36 - 32)) </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 [12, 76, 55, 5], create an equation that equals 38. You can use basic arithmetic operatio...
<state> [5, 12, 55, 76] </state> <try> 76 - 12 = 64 -> [5, 12, 55, 76] </try> <try> 12 * 5 = 60 -> [5, 12, 55, 76] </try> <try> 55 - 12 = 43 -> [5, 12, 55, 76] </try> <try> 76 - 55 = 21 -> [5, 12, 21] </try> <state> [5, 12, 21] </state> <try> 21 + 12 = 33 -> [5, 33] </try> <state> [5, 33] </state> <try> 33 + 5 = 38 -> ...
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, 27, 86], create an equation that equals 13. You can use basic arithmetic operations ...
<state> [27, 46, 86] </state> <try> 46 - 27 = 19 -> [27, 46, 86] </try> <try> 86 - 27 = 59 -> [27, 46, 86] </try> <try> 86 - 46 = 40 -> [27, 40] </try> <state> [27, 40] </state> <try> 40 - 27 = 13 -> [13] </try> <state> [13] </state> <answer> ((86 - 46) - 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 [88, 83, 10, 78], create an equation that equals 44. You can use basic arithmetic operati...
<state> [10, 78, 83, 88] </state> <try> 83 - 78 = 5 -> [5, 10, 88] </try> <state> [5, 10, 88] </state> <try> 88 * 5 = 440 -> [10, 440] </try> <state> [10, 440] </state> <try> 440 / 10 = 44 -> [44] </try> <state> [44] </state> <answer> ((88 * (83 - 78)) / 10) </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, 20, 48, 98], create an equation that equals 91. You can use basic arithmetic operati...
<state> [20, 26, 48, 98] </state> <try> 26 - 20 = 6 -> [20, 26, 48, 98] </try> <try> 48 / 48 = 1 -> [20, 26, 48, 98] </try> <try> 26 * 98 = 2548 -> [20, 48, 2548] </try> <state> [20, 48, 2548] </state> <try> 48 - 20 = 28 -> [28, 2548] </try> <state> [28, 2548] </state> <try> 2548 / 28 = 91 -> [91] </try> <state> [91] <...
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, 74, 61, 32], create an equation that equals 30. You can use basic arithmetic operati...
<state> [32, 61, 74, 74] </state> <try> 74 - 74 = 0 -> [32, 61, 74, 74] </try> <try> 74 / 74 = 1 -> [1, 32, 61] </try> <state> [1, 32, 61] </state> <try> 61 - 32 = 29 -> [1, 29] </try> <state> [1, 29] </state> <try> 1 + 29 = 30 -> [30] </try> <state> [30] </state> <answer> ((74 / 74) + (61 - 32)) </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 [73, 13, 10], create an equation that equals 70. You can use basic arithmetic operations ...
<state> [10, 13, 73] </state> <try> 73 - 10 = 63 -> [10, 13, 73] </try> <try> 13 * 10 = 130 -> [10, 13, 73] </try> <try> 73 - 13 = 60 -> [10, 60] </try> <state> [10, 60] </state> <try> 60 + 10 = 70 -> [70] </try> <state> [70] </state> <answer> ((73 - 13) + 10) </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 [84, 68, 2, 86], create an equation that equals 78. You can use basic arithmetic operatio...
<state> [2, 68, 84, 86] </state> <try> 86 - 2 = 84 -> [2, 68, 84, 86] </try> <try> 84 - 2 = 82 -> [2, 68, 84, 86] </try> <try> 68 + 2 = 70 -> [2, 68, 84, 86] </try> <try> 84 - 68 = 16 -> [2, 16, 86] </try> <state> [2, 16, 86] </state> <try> 16 / 2 = 8 -> [8, 86] </try> <state> [8, 86] </state> <try> 86 - 8 = 78 -> [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 [27, 88, 82, 34], create an equation that equals 80. You can use basic arithmetic operati...
<state> [27, 34, 82, 88] </state> <try> 88 - 82 = 6 -> [27, 34, 82, 88] </try> <try> 34 - 27 = 7 -> [27, 34, 82, 88] </try> <try> 82 - 34 = 48 -> [27, 34, 82, 88] </try> <try> 88 - 34 = 54 -> [27, 54, 82] </try> <state> [27, 54, 82] </state> <try> 54 / 27 = 2 -> [2, 82] </try> <state> [2, 82] </state> <try> 82 - 2 = 80...
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, 49, 5, 61], create an equation that equals 74. You can use basic arithmetic operatio...
<state> [5, 14, 49, 61] </state> <try> 14 + 5 = 19 -> [5, 14, 49, 61] </try> <try> 14 - 5 = 9 -> [5, 14, 49, 61] </try> <try> 49 + 14 = 63 -> [5, 14, 49, 61] </try> <try> 61 - 49 = 12 -> [5, 12, 14] </try> <state> [5, 12, 14] </state> <try> 5 * 12 = 60 -> [14, 60] </try> <state> [14, 60] </state> <try> 14 + 60 = 74 -> ...
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, 93, 39], create an equation that equals 38. You can use basic arithmetic operations ...
<state> [16, 39, 93] </state> <try> 93 - 39 = 54 -> [16, 39, 93] </try> <try> 39 - 16 = 23 -> [16, 39, 93] </try> <try> 93 - 16 = 77 -> [39, 77] </try> <state> [39, 77] </state> <try> 77 - 39 = 38 -> [38] </try> <state> [38] </state> <answer> ((93 - 16) - 39) </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 [72, 32, 16], create an equation that equals 74. You can use basic arithmetic operations ...
<state> [16, 32, 72] </state> <try> 32 + 16 = 48 -> [16, 32, 72] </try> <try> 32 - 16 = 16 -> [16, 32, 72] </try> <try> 32 * 16 = 512 -> [16, 32, 72] </try> <try> 32 / 16 = 2 -> [2, 72] </try> <state> [2, 72] </state> <try> 72 + 2 = 74 -> [74] </try> <state> [74] </state> <answer> (72 + (32 / 16)) </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, 76, 73, 85], create an equation that equals 68. You can use basic arithmetic operati...
<state> [51, 73, 76, 85] </state> <try> 76 - 51 = 25 -> [51, 73, 76, 85] </try> <try> 85 - 73 = 12 -> [51, 73, 76, 85] </try> <try> 85 - 51 = 34 -> [51, 73, 76, 85] </try> <try> 76 - 73 = 3 -> [3, 51, 85] </try> <state> [3, 51, 85] </state> <try> 51 * 3 = 153 -> [85, 153] </try> <state> [85, 153] </state> <try> 153 - 8...
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, 18, 60], create an equation that equals 13. You can use basic arithmetic operations ...
<state> [18, 55, 60] </state> <try> 60 - 18 = 42 -> [18, 55, 60] </try> <try> 55 - 60 = -5 -> [-5, 18] </try> <state> [-5, 18] </state> <try> -5 + 18 = 13 -> [13] </try> <state> [13] </state> <answer> ((55 - 60) + 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 [96, 70, 7], create an equation that equals 33. You can use basic arithmetic operations (...
<state> [7, 70, 96] </state> <try> 70 / 7 = 10 -> [7, 70, 96] </try> <try> 96 - 70 = 26 -> [7, 26] </try> <state> [7, 26] </state> <try> 7 + 26 = 33 -> [33] </try> <state> [33] </state> <answer> (7 + (96 - 70)) </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, 44, 4, 64], create an equation that equals 54. You can use basic arithmetic operatio...
<state> [4, 44, 49, 64] </state> <try> 64 - 4 = 60 -> [4, 44, 49, 64] </try> <try> 49 + 4 = 53 -> [4, 44, 49, 64] </try> <try> 64 - 44 = 20 -> [4, 20, 49] </try> <state> [4, 20, 49] </state> <try> 20 / 4 = 5 -> [5, 49] </try> <state> [5, 49] </state> <try> 5 + 49 = 54 -> [54] </try> <state> [54] </state> <answer> (((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 [83, 92, 63, 58], create an equation that equals 51. You can use basic arithmetic operati...
<state> [58, 63, 83, 92] </state> <try> 92 - 58 = 34 -> [58, 63, 83, 92] </try> <try> 83 - 63 = 20 -> [58, 63, 83, 92] </try> <try> 63 - 58 = 5 -> [58, 63, 83, 92] </try> <try> 92 - 83 = 9 -> [9, 58, 63] </try> <state> [9, 58, 63] </state> <try> 63 / 9 = 7 -> [7, 58] </try> <state> [7, 58] </state> <try> 58 - 7 = 51 ->...
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, 38, 5, 30], create an equation that equals 12. You can use basic arithmetic operatio...
<state> [5, 30, 38, 61] </state> <try> 38 - 30 = 8 -> [5, 30, 38, 61] </try> <try> 61 - 30 = 31 -> [5, 30, 38, 61] </try> <try> 61 - 38 = 23 -> [5, 23, 30] </try> <state> [5, 23, 30] </state> <try> 5 + 30 = 35 -> [23, 35] </try> <state> [23, 35] </state> <try> 35 - 23 = 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 [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operatio...
<state> [1, 60, 70, 85] </state> <try> 85 - 70 = 15 -> [1, 60, 70, 85] </try> <try> 70 - 60 = 10 -> [1, 60, 70, 85] </try> <try> 85 - 60 = 25 -> [1, 25, 70] </try> <state> [1, 25, 70] </state> <try> 70 - 25 = 45 -> [1, 45] </try> <state> [1, 45] </state> <try> 45 + 1 = 46 -> [46] </try> <state> [46] </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 [81, 57, 98, 7], create an equation that equals 62. You can use basic arithmetic operatio...
<state> [7, 57, 81, 98] </state> <try> 98 - 57 = 41 -> [7, 57, 81, 98] </try> <try> 81 - 57 = 24 -> [7, 57, 81, 98] </try> <try> 81 - 7 = 74 -> [7, 57, 81, 98] </try> <try> 98 - 81 = 17 -> [7, 17, 57] </try> <state> [7, 17, 57] </state> <try> 7 * 17 = 119 -> [57, 119] </try> <state> [57, 119] </state> <try> 119 - 57 = ...
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 [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operatio...
<state> [4, 16, 63, 81] </state> <try> 81 - 63 = 18 -> [4, 16, 63, 81] </try> <try> 16 * 4 = 64 -> [4, 16, 63, 81] </try> <try> 63 + 81 = 144 -> [4, 16, 144] </try> <state> [4, 16, 144] </state> <try> 16 / 4 = 4 -> [4, 144] </try> <state> [4, 144] </state> <try> 144 / 4 = 36 -> [36] </try> <state> [36] </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 [15, 60, 16, 83], create an equation that equals 87. You can use basic arithmetic operati...
<state> [15, 16, 60, 83] </state> <try> 60 - 16 = 44 -> [15, 16, 60, 83] </try> <try> 16 - 15 = 1 -> [15, 16, 60, 83] </try> <try> 83 + 15 = 98 -> [15, 16, 60, 83] </try> <try> 60 / 15 = 4 -> [4, 16, 83] </try> <state> [4, 16, 83] </state> <try> 16 / 4 = 4 -> [4, 83] </try> <state> [4, 83] </state> <try> 83 + 4 = 87 ->...
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 [84, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operati...
<state> [11, 43, 84, 87] </state> <try> 43 - 11 = 32 -> [32, 84, 87] </try> <state> [32, 84, 87] </state> <try> 87 - 84 = 3 -> [3, 32] </try> <state> [3, 32] </state> <try> 32 - 3 = 29 -> [29] </try> <state> [29] </state> <answer> ((43 - 11) - (87 - 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 [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operatio...
<state> [5, 63, 70, 80] </state> <try> 70 - 63 = 7 -> [5, 7, 80] </try> <state> [5, 7, 80] </state> <try> 5 + 80 = 85 -> [7, 85] </try> <state> [7, 85] </state> <try> 85 - 7 = 78 -> [78] </try> <state> [78] </state> <answer> ((5 + 80) - (70 - 63)) </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 [4, 6, 42], create an equation that equals 18. You can use basic arithmetic operations (+...
<state> [4, 6, 42] </state> <try> 42 / 6 = 7 -> [4, 6, 42] </try> <try> 6 * 4 = 24 -> [24, 42] </try> <state> [24, 42] </state> <try> 42 - 24 = 18 -> [18] </try> <state> [18] </state> <answer> (42 - (6 * 4)) </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, 64, 37, 30], create an equation that equals 17. You can use basic arithmetic operati...
<state> [30, 37, 64, 96] </state> <try> 64 - 37 = 27 -> [30, 37, 64, 96] </try> <try> 96 - 64 = 32 -> [30, 37, 64, 96] </try> <try> 37 - 30 = 7 -> [30, 37, 64, 96] </try> <try> 64 * 30 = 1920 -> [37, 96, 1920] </try> <state> [37, 96, 1920] </state> <try> 1920 / 96 = 20 -> [20, 37] </try> <state> [20, 37] </state> <try>...
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 [40, 57, 5, 75], create an equation that equals 87. You can use basic arithmetic operatio...
<state> [5, 40, 57, 75] </state> <try> 75 + 57 = 132 -> [5, 40, 57, 75] </try> <try> 75 - 57 = 18 -> [5, 40, 57, 75] </try> <try> 40 + 57 = 97 -> [5, 40, 57, 75] </try> <try> 57 - 40 = 17 -> [5, 17, 75] </try> <state> [5, 17, 75] </state> <try> 75 - 5 = 70 -> [17, 70] </try> <state> [17, 70] </state> <try> 17 + 70 = 87...
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, 87, 93, 87], create an equation that equals 56. You can use basic arithmetic operati...
<state> [29, 87, 87, 93] </state> <try> 87 - 87 = 0 -> [29, 87, 87, 93] </try> <try> 87 + 87 = 174 -> [29, 87, 87, 93] </try> <try> 93 - 87 = 6 -> [29, 87, 87, 93] </try> <try> 87 / 29 = 3 -> [3, 87, 93] </try> <state> [3, 87, 93] </state> <try> 93 / 3 = 31 -> [31, 87] </try> <state> [31, 87] </state> <try> 87 - 31 = 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 [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operation...
<state> [5, 6, 15, 18] </state> <try> 15 * 6 = 90 -> [5, 6, 15, 18] </try> <try> 15 + 6 = 21 -> [5, 6, 15, 18] </try> <try> 18 + 6 = 24 -> [5, 6, 15, 18] </try> <try> 15 * 18 = 270 -> [5, 6, 270] </try> <state> [5, 6, 270] </state> <try> 270 / 5 = 54 -> [6, 54] </try> <state> [6, 54] </state> <try> 6 + 54 = 60 -> [60] ...
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, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operatio...
<state> [5, 36, 53, 79] </state> <try> 79 - 53 = 26 -> [5, 36, 53, 79] </try> <try> 53 - 36 = 17 -> [5, 36, 53, 79] </try> <try> 53 - 5 = 48 -> [5, 36, 53, 79] </try> <try> 79 + 53 = 132 -> [5, 36, 132] </try> <state> [5, 36, 132] </state> <try> 36 * 5 = 180 -> [132, 180] </try> <state> [132, 180] </state> <try> 180 - ...
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 [83, 82, 77, 3], create an equation that equals 98. You can use basic arithmetic operatio...
<state> [3, 77, 82, 83] </state> <try> 83 + 82 = 165 -> [3, 77, 82, 83] </try> <try> 83 - 82 = 1 -> [3, 77, 82, 83] </try> <try> 82 + 3 = 85 -> [3, 77, 82, 83] </try> <try> 82 - 77 = 5 -> [3, 5, 83] </try> <state> [3, 5, 83] </state> <try> 3 * 5 = 15 -> [15, 83] </try> <state> [15, 83] </state> <try> 83 + 15 = 98 -> [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 [17, 2, 46, 31], create an equation that equals 16. You can use basic arithmetic operatio...
<state> [2, 17, 31, 46] </state> <try> 46 / 2 = 23 -> [2, 17, 31, 46] </try> <try> 31 - 17 = 14 -> [2, 17, 31, 46] </try> <try> 46 - 31 = 15 -> [2, 17, 31, 46] </try> <try> 17 + 46 = 63 -> [2, 31, 63] </try> <state> [2, 31, 63] </state> <try> 63 - 31 = 32 -> [2, 32] </try> <state> [2, 32] </state> <try> 32 / 2 = 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 [87, 11, 35, 57], create an equation that equals 85. You can use basic arithmetic operati...
<state> [11, 35, 57, 87] </state> <try> 87 - 11 = 76 -> [11, 35, 57, 87] </try> <try> 35 + 57 = 92 -> [11, 35, 57, 87] </try> <try> 35 + 11 = 46 -> [11, 35, 57, 87] </try> <try> 57 - 35 = 22 -> [11, 22, 87] </try> <state> [11, 22, 87] </state> <try> 22 / 11 = 2 -> [2, 87] </try> <state> [2, 87] </state> <try> 87 - 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 [63, 68, 86, 40], create an equation that equals 94. You can use basic arithmetic operati...
<state> [40, 63, 68, 86] </state> <try> 86 + 40 = 126 -> [40, 63, 68, 86] </try> <try> 86 - 40 = 46 -> [40, 63, 68, 86] </try> <try> 63 + 40 = 103 -> [40, 63, 68, 86] </try> <try> 68 - 63 = 5 -> [5, 40, 86] </try> <state> [5, 40, 86] </state> <try> 40 / 5 = 8 -> [8, 86] </try> <state> [8, 86] </state> <try> 86 + 8 = 94...
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 [6, 56, 3, 59], create an equation that equals 15. You can use basic arithmetic operation...
<state> [3, 6, 56, 59] </state> <try> 56 + 3 = 59 -> [3, 6, 56, 59] </try> <try> 56 - 6 = 50 -> [3, 6, 56, 59] </try> <try> 6 * 3 = 18 -> [18, 56, 59] </try> <state> [18, 56, 59] </state> <try> 59 - 56 = 3 -> [3, 18] </try> <state> [3, 18] </state> <try> 18 - 3 = 15 -> [15] </try> <state> [15] </state> <answer> ((6 * 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 [68, 11, 51, 40], create an equation that equals 19. You can use basic arithmetic operati...
<state> [11, 40, 51, 68] </state> <try> 68 - 51 = 17 -> [11, 40, 51, 68] </try> <try> 40 - 11 = 29 -> [11, 40, 51, 68] </try> <try> 51 - 40 = 11 -> [11, 40, 51, 68] </try> <try> 51 * 40 = 2040 -> [11, 68, 2040] </try> <state> [11, 68, 2040] </state> <try> 2040 / 68 = 30 -> [11, 30] </try> <state> [11, 30] </state> <try...
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, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operati...
<state> [12, 68, 83, 86] </state> <try> 68 - 12 = 56 -> [56, 83, 86] </try> <state> [56, 83, 86] </state> <try> 86 - 83 = 3 -> [3, 56] </try> <state> [3, 56] </state> <try> 56 - 3 = 53 -> [53] </try> <state> [53] </state> <answer> ((68 - 12) - (86 - 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 [20, 21, 24, 89], create an equation that equals 64. You can use basic arithmetic operati...
<state> [20, 21, 24, 89] </state> <try> 24 * 20 = 480 -> [20, 21, 24, 89] </try> <try> 89 - 24 = 65 -> [20, 21, 65] </try> <state> [20, 21, 65] </state> <try> 21 - 20 = 1 -> [1, 65] </try> <state> [1, 65] </state> <try> 65 - 1 = 64 -> [64] </try> <state> [64] </state> <answer> ((89 - 24) - (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 [11, 68, 47, 9], create an equation that equals 89. You can use basic arithmetic operatio...
<state> [9, 11, 47, 68] </state> <try> 68 + 11 = 79 -> [9, 11, 47, 68] </try> <try> 68 + 47 = 115 -> [9, 11, 47, 68] </try> <try> 47 + 11 = 58 -> [9, 11, 47, 68] </try> <try> 11 - 9 = 2 -> [2, 47, 68] </try> <state> [2, 47, 68] </state> <try> 68 * 2 = 136 -> [47, 136] </try> <state> [47, 136] </state> <try> 136 - 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 [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations ...
<state> [75, 95, 97] </state> <try> 97 - 95 = 2 -> [2, 75] </try> <state> [2, 75] </state> <try> 2 + 75 = 77 -> [77] </try> <state> [77] </state> <answer> ((97 - 95) + 75) </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 [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operatio...
<state> [5, 26, 38, 59] </state> <try> 38 + 26 = 64 -> [5, 26, 38, 59] </try> <try> 59 - 5 = 54 -> [5, 26, 38, 59] </try> <try> 59 - 38 = 21 -> [5, 26, 38, 59] </try> <try> 59 + 5 = 64 -> [26, 38, 64] </try> <state> [26, 38, 64] </state> <try> 38 - 26 = 12 -> [12, 64] </try> <state> [12, 64] </state> <try> 64 - 12 = 52...
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, 17, 41, 83], create an equation that equals 15. You can use basic arithmetic operati...
<state> [10, 17, 41, 83] </state> <try> 17 - 10 = 7 -> [10, 17, 41, 83] </try> <try> 41 - 17 = 24 -> [10, 17, 41, 83] </try> <try> 83 - 41 = 42 -> [10, 17, 42] </try> <state> [10, 17, 42] </state> <try> 42 - 17 = 25 -> [10, 25] </try> <state> [10, 25] </state> <try> 25 - 10 = 15 -> [15] </try> <state> [15] </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 [67, 37, 11], create an equation that equals 19. You can use basic arithmetic operations ...
<state> [11, 37, 67] </state> <try> 67 - 37 = 30 -> [11, 30] </try> <state> [11, 30] </state> <try> 30 - 11 = 19 -> [19] </try> <state> [19] </state> <answer> ((67 - 37) - 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 [76, 75, 20, 22], create an equation that equals 42. You can use basic arithmetic operati...
<state> [20, 22, 75, 76] </state> <try> 22 - 20 = 2 -> [20, 22, 75, 76] </try> <try> 76 - 22 = 54 -> [20, 22, 75, 76] </try> <try> 76 - 75 = 1 -> [1, 20, 22] </try> <state> [1, 20, 22] </state> <try> 1 * 20 = 20 -> [20, 22] </try> <state> [20, 22] </state> <try> 20 + 22 = 42 -> [42] </try> <state> [42] </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 [80, 82, 4, 64], create an equation that equals 94. You can use basic arithmetic operatio...
<state> [4, 64, 80, 82] </state> <try> 4 * 4 = 16 -> [4, 64, 80, 82] </try> <try> 64 / 4 = 16 -> [4, 64, 80, 82] </try> <try> 82 - 4 = 78 -> [4, 64, 80, 82] </try> <try> 80 + 82 = 162 -> [4, 64, 162] </try> <state> [4, 64, 162] </state> <try> 4 + 64 = 68 -> [68, 162] </try> <state> [68, 162] </state> <try> 162 - 68 = 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, 78, 66, 52], create an equation that equals 90. You can use basic arithmetic operati...
<state> [26, 52, 66, 78] </state> <try> 52 * 26 = 1352 -> [26, 52, 66, 78] </try> <try> 78 - 66 = 12 -> [26, 52, 66, 78] </try> <try> 52 + 26 = 78 -> [26, 52, 66, 78] </try> <try> 78 / 26 = 3 -> [3, 52, 66] </try> <state> [3, 52, 66] </state> <try> 3 * 52 = 156 -> [66, 156] </try> <state> [66, 156] </state> <try> 156 -...
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 [54, 75, 40, 93], create an equation that equals 74. You can use basic arithmetic operati...
<state> [40, 54, 75, 93] </state> <try> 54 + 40 = 94 -> [40, 54, 75, 93] </try> <try> 54 - 40 = 14 -> [40, 54, 75, 93] </try> <try> 93 - 75 = 18 -> [40, 54, 75, 93] </try> <try> 75 - 54 = 21 -> [21, 40, 93] </try> <state> [21, 40, 93] </state> <try> 93 - 40 = 53 -> [21, 53] </try> <state> [21, 53] </state> <try> 21 + 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 [38, 6, 37, 92], create an equation that equals 98. You can use basic arithmetic operatio...
<state> [6, 37, 38, 92] </state> <try> 37 + 38 = 75 -> [6, 37, 38, 92] </try> <try> 6 * 37 = 222 -> [6, 37, 38, 92] </try> <try> 38 - 37 = 1 -> [1, 6, 92] </try> <state> [1, 6, 92] </state> <try> 6 + 92 = 98 -> [1, 98] </try> <state> [1, 98] </state> <try> 1 * 98 = 98 -> [98] </try> <state> [98] </state> <answer> ((38 ...
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 [28, 26, 69, 35], create an equation that equals 20. You can use basic arithmetic operati...
<state> [26, 28, 35, 69] </state> <try> 28 - 26 = 2 -> [26, 28, 35, 69] </try> <try> 35 - 28 = 7 -> [26, 28, 35, 69] </try> <try> 69 - 26 = 43 -> [26, 28, 35, 69] </try> <try> 28 + 26 = 54 -> [35, 54, 69] </try> <state> [35, 54, 69] </state> <try> 69 - 35 = 34 -> [34, 54] </try> <state> [34, 54] </state> <try> 54 - 34 ...
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, 35, 25, 15], create an equation that equals 81. You can use basic arithmetic operati...
<state> [15, 25, 35, 60] </state> <try> 60 / 15 = 4 -> [15, 25, 35, 60] </try> <try> 35 + 25 = 60 -> [15, 25, 35, 60] </try> <try> 60 - 35 = 25 -> [15, 25, 35, 60] </try> <try> 35 * 15 = 525 -> [25, 60, 525] </try> <state> [25, 60, 525] </state> <try> 525 / 25 = 21 -> [21, 60] </try> <state> [21, 60] </state> <try> 60 ...
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 [52, 55, 66, 42], create an equation that equals 52. You can use basic arithmetic operati...
<state> [42, 52, 55, 66] </state> <try> 66 / 66 = 1 -> [42, 52, 55, 66] </try> <try> 55 - 42 = 13 -> [42, 52, 55, 66] </try> <try> 66 * 42 = 2772 -> [42, 52, 55, 66] </try> <try> 55 - 52 = 3 -> [3, 42, 66] </try> <state> [3, 42, 66] </state> <try> 42 / 3 = 14 -> [14, 66] </try> <state> [14, 66] </state> <try> 66 - 14 =...
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, 73, 15, 8], create an equation that equals 21. You can use basic arithmetic operatio...
<state> [8, 10, 15, 73] </state> <try> 73 - 15 = 58 -> [8, 10, 15, 73] </try> <try> 10 * 8 = 80 -> [8, 10, 15, 73] </try> <try> 73 - 10 = 63 -> [8, 10, 15, 73] </try> <try> 73 + 15 = 88 -> [8, 10, 88] </try> <state> [8, 10, 88] </state> <try> 88 / 8 = 11 -> [10, 11] </try> <state> [10, 11] </state> <try> 10 + 11 = 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 [43, 39, 2], create an equation that equals 80. You can use basic arithmetic operations (...
<state> [2, 39, 43] </state> <try> 43 - 39 = 4 -> [2, 39, 43] </try> <try> 43 * 39 = 1677 -> [2, 39, 43] </try> <try> 43 - 2 = 41 -> [2, 39, 43] </try> <try> 43 + 39 = 82 -> [2, 82] </try> <state> [2, 82] </state> <try> 82 - 2 = 80 -> [80] </try> <state> [80] </state> <answer> ((43 + 39) - 2) </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 [25, 80, 68], create an equation that equals 37. You can use basic arithmetic operations ...
<state> [25, 68, 80] </state> <try> 80 - 68 = 12 -> [25, 68, 80] </try> <try> 80 - 25 = 55 -> [25, 68, 80] </try> <try> 68 - 25 = 43 -> [25, 68, 80] </try> <try> 25 + 80 = 105 -> [68, 105] </try> <state> [68, 105] </state> <try> 105 - 68 = 37 -> [37] </try> <state> [37] </state> <answer> ((25 + 80) - 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 [35, 51, 11, 48], create an equation that equals 42. You can use basic arithmetic operati...
<state> [11, 35, 48, 51] </state> <try> 51 - 35 = 16 -> [11, 35, 48, 51] </try> <try> 51 - 48 = 3 -> [11, 35, 48, 51] </try> <try> 35 + 11 = 46 -> [11, 35, 48, 51] </try> <try> 35 * 48 = 1680 -> [11, 51, 1680] </try> <state> [11, 51, 1680] </state> <try> 51 - 11 = 40 -> [40, 1680] </try> <state> [40, 1680] </state> <tr...
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 [57, 47, 98, 35], create an equation that equals 61. You can use basic arithmetic operati...
<state> [35, 47, 57, 98] </state> <try> 98 - 35 = 63 -> [35, 47, 57, 98] </try> <try> 47 + 57 = 104 -> [35, 47, 57, 98] </try> <try> 98 - 47 = 51 -> [35, 47, 57, 98] </try> <try> 98 * 35 = 3430 -> [47, 57, 3430] </try> <state> [47, 57, 3430] </state> <try> 47 + 3430 = 3477 -> [57, 3477] </try> <state> [57, 3477] </stat...
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, 53, 14, 4], create an equation that equals 23. You can use basic arithmetic operatio...
<state> [4, 14, 53, 66] </state> <try> 53 - 14 = 39 -> [4, 14, 53, 66] </try> <try> 14 * 4 = 56 -> [4, 14, 53, 66] </try> <try> 66 - 53 = 13 -> [4, 13, 14] </try> <state> [4, 13, 14] </state> <try> 14 - 4 = 10 -> [10, 13] </try> <state> [10, 13] </state> <try> 13 + 10 = 23 -> [23] </try> <state> [23] </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 [22, 18, 35, 39], create an equation that equals 21. You can use basic arithmetic operati...
<state> [18, 22, 35, 39] </state> <try> 22 - 18 = 4 -> [18, 22, 35, 39] </try> <try> 39 - 35 = 4 -> [18, 22, 35, 39] </try> <try> 35 - 18 = 17 -> [18, 22, 35, 39] </try> <try> 35 - 22 = 13 -> [13, 18, 39] </try> <state> [13, 18, 39] </state> <try> 39 / 13 = 3 -> [3, 18] </try> <state> [3, 18] </state> <try> 18 + 3 = 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 [32, 93, 81], create an equation that equals 44. You can use basic arithmetic operations ...
<state> [32, 81, 93] </state> <try> 81 - 32 = 49 -> [49, 93] </try> <state> [49, 93] </state> <try> 93 - 49 = 44 -> [44] </try> <state> [44] </state> <answer> (93 - (81 - 32)) </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 [79, 76, 11, 87], create an equation that equals 73. You can use basic arithmetic operati...
<state> [11, 76, 79, 87] </state> <try> 87 - 76 = 11 -> [11, 76, 79, 87] </try> <try> 79 - 76 = 3 -> [3, 11, 87] </try> <state> [3, 11, 87] </state> <try> 87 - 11 = 76 -> [3, 76] </try> <state> [3, 76] </state> <try> 76 - 3 = 73 -> [73] </try> <state> [73] </state> <answer> ((87 - 11) - (79 - 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 [6, 98, 93, 57], create an equation that equals 27. You can use basic arithmetic operatio...
<state> [6, 57, 93, 98] </state> <try> 57 - 6 = 51 -> [6, 57, 93, 98] </try> <try> 98 - 93 = 5 -> [5, 6, 57] </try> <state> [5, 6, 57] </state> <try> 6 * 5 = 30 -> [30, 57] </try> <state> [30, 57] </state> <try> 57 - 30 = 27 -> [27] </try> <state> [27] </state> <answer> (57 - (6 * (98 - 93))) </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 [84, 39, 21, 36], create an equation that equals 79. You can use basic arithmetic operati...
<state> [21, 36, 39, 84] </state> <try> 39 - 36 = 3 -> [21, 36, 39, 84] </try> <try> 84 - 39 = 45 -> [21, 36, 39, 84] </try> <try> 84 - 36 = 48 -> [21, 36, 39, 84] </try> <try> 84 / 21 = 4 -> [4, 36, 39] </try> <state> [4, 36, 39] </state> <try> 39 + 36 = 75 -> [4, 75] </try> <state> [4, 75] </state> <try> 4 + 75 = 79 ...
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, 83, 7, 31], create an equation that equals 21. You can use basic arithmetic operatio...
<state> [7, 31, 38, 83] </state> <try> 83 + 31 = 114 -> [7, 31, 38, 83] </try> <try> 83 - 31 = 52 -> [7, 31, 38, 83] </try> <try> 31 * 7 = 217 -> [7, 31, 38, 83] </try> <try> 83 - 38 = 45 -> [7, 31, 45] </try> <state> [7, 31, 45] </state> <try> 31 - 7 = 24 -> [24, 45] </try> <state> [24, 45] </state> <try> 45 - 24 = 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 [15, 59, 79, 78], create an equation that equals 73. You can use basic arithmetic operati...
<state> [15, 59, 78, 79] </state> <try> 79 - 59 = 20 -> [15, 59, 78, 79] </try> <try> 78 - 15 = 63 -> [15, 59, 78, 79] </try> <try> 78 + 15 = 93 -> [15, 59, 78, 79] </try> <try> 59 + 15 = 74 -> [74, 78, 79] </try> <state> [74, 78, 79] </state> <try> 79 - 78 = 1 -> [1, 74] </try> <state> [1, 74] </state> <try> 74 - 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, 37, 40], create an equation that equals 17. You can use basic arithmetic operations ...
<state> [37, 40, 60] </state> <try> 60 - 40 = 20 -> [37, 40, 60] </try> <try> 40 - 37 = 3 -> [37, 40, 60] </try> <try> 60 - 37 = 23 -> [23, 40] </try> <state> [23, 40] </state> <try> 40 - 23 = 17 -> [17] </try> <state> [17] </state> <answer> (40 - (60 - 37)) </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, 41, 58, 35], create an equation that equals 51. You can use basic arithmetic operati...
<state> [35, 41, 42, 58] </state> <try> 42 - 41 = 1 -> [35, 41, 42, 58] </try> <try> 58 - 35 = 23 -> [35, 41, 42, 58] </try> <try> 42 + 41 = 83 -> [35, 41, 42, 58] </try> <try> 41 - 35 = 6 -> [6, 42, 58] </try> <state> [6, 42, 58] </state> <try> 42 / 6 = 7 -> [7, 58] </try> <state> [7, 58] </state> <try> 58 - 7 = 51 ->...
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 [6, 28, 42, 19], create an equation that equals 39. You can use basic arithmetic operatio...
<state> [6, 19, 28, 42] </state> <try> 42 - 28 = 14 -> [6, 19, 28, 42] </try> <try> 42 / 6 = 7 -> [6, 19, 28, 42] </try> <try> 28 + 6 = 34 -> [6, 19, 28, 42] </try> <try> 28 - 6 = 22 -> [19, 22, 42] </try> <state> [19, 22, 42] </state> <try> 42 + 19 = 61 -> [22, 61] </try> <state> [22, 61] </state> <try> 61 - 22 = 39 -...
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 [20, 5, 79], create an equation that equals 21. You can use basic arithmetic operations (...
<state> [5, 20, 79] </state> <try> 20 + 5 = 25 -> [5, 20, 79] </try> <try> 79 - 20 = 59 -> [5, 20, 79] </try> <try> 20 * 5 = 100 -> [79, 100] </try> <state> [79, 100] </state> <try> 100 - 79 = 21 -> [21] </try> <state> [21] </state> <answer> ((20 * 5) - 79) </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 [68, 32, 81, 70], create an equation that equals 89. You can use basic arithmetic operati...
<state> [32, 68, 70, 81] </state> <try> 70 - 68 = 2 -> [32, 68, 70, 81] </try> <try> 81 + 32 = 113 -> [32, 68, 70, 81] </try> <try> 70 - 32 = 38 -> [32, 68, 70, 81] </try> <try> 68 + 32 = 100 -> [70, 81, 100] </try> <state> [70, 81, 100] </state> <try> 81 - 70 = 11 -> [11, 100] </try> <state> [11, 100] </state> <try> 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 [3, 68, 62, 1], create an equation that equals 12. You can use basic arithmetic operation...
<state> [1, 3, 62, 68] </state> <try> 3 * 1 = 3 -> [1, 3, 62, 68] </try> <try> 62 + 3 = 65 -> [1, 3, 62, 68] </try> <try> 3 - 1 = 2 -> [2, 62, 68] </try> <state> [2, 62, 68] </state> <try> 68 - 62 = 6 -> [2, 6] </try> <state> [2, 6] </state> <try> 2 * 6 = 12 -> [12] </try> <state> [12] </state> <answer> ((3 - 1) * (68 ...
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 [82, 63, 84, 41], create an equation that equals 52. You can use basic arithmetic operati...
<state> [41, 63, 82, 84] </state> <try> 84 - 63 = 21 -> [41, 63, 82, 84] </try> <try> 82 - 63 = 19 -> [41, 63, 82, 84] </try> <try> 82 / 41 = 2 -> [41, 63, 82, 84] </try> <try> 84 - 82 = 2 -> [2, 41, 63] </try> <state> [2, 41, 63] </state> <try> 63 + 41 = 104 -> [2, 104] </try> <state> [2, 104] </state> <try> 104 / 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 [43, 58, 2, 34], create an equation that equals 32. You can use basic arithmetic operatio...
<state> [2, 34, 43, 58] </state> <try> 58 / 2 = 29 -> [2, 34, 43, 58] </try> <try> 58 - 43 = 15 -> [2, 15, 34] </try> <state> [2, 15, 34] </state> <try> 34 / 2 = 17 -> [15, 17] </try> <state> [15, 17] </state> <try> 15 + 17 = 32 -> [32] </try> <state> [32] </state> <answer> ((58 - 43) + (34 / 2)) </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 [93, 1, 7, 50], create an equation that equals 36. You can use basic arithmetic operation...
<state> [1, 7, 50, 93] </state> <try> 50 - 7 = 43 -> [1, 7, 50, 93] </try> <try> 93 - 50 = 43 -> [1, 7, 43] </try> <state> [1, 7, 43] </state> <try> 43 - 7 = 36 -> [1, 36] </try> <state> [1, 36] </state> <try> 36 * 1 = 36 -> [36] </try> <state> [36] </state> <answer> (((93 - 50) - 7) * 1) </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, 8, 32], create an equation that equals 66. You can use basic arithmetic operations (...
<state> [8, 26, 32] </state> <try> 32 + 26 = 58 -> [8, 58] </try> <state> [8, 58] </state> <try> 58 + 8 = 66 -> [66] </try> <state> [66] </state> <answer> ((32 + 26) + 8) </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 [3, 99, 88], create an equation that equals 14. You can use basic arithmetic operations (...
<state> [3, 88, 99] </state> <try> 99 / 3 = 33 -> [3, 88, 99] </try> <try> 99 - 88 = 11 -> [3, 11] </try> <state> [3, 11] </state> <try> 11 + 3 = 14 -> [14] </try> <state> [14] </state> <answer> ((99 - 88) + 3) </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, 44, 36], create an equation that equals 11. You can use basic arithmetic operations (...
<state> [9, 36, 44] </state> <try> 36 / 9 = 4 -> [4, 44] </try> <state> [4, 44] </state> <try> 44 / 4 = 11 -> [11] </try> <state> [11] </state> <answer> (44 / (36 / 9)) </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, 8, 77, 52], create an equation that equals 91. You can use basic arithmetic operatio...
<state> [8, 31, 52, 77] </state> <try> 77 + 8 = 85 -> [8, 31, 52, 77] </try> <try> 77 - 31 = 46 -> [8, 31, 52, 77] </try> <try> 31 + 52 = 83 -> [8, 31, 52, 77] </try> <try> 52 - 31 = 21 -> [8, 21, 77] </try> <state> [8, 21, 77] </state> <try> 8 * 21 = 168 -> [77, 168] </try> <state> [77, 168] </state> <try> 168 - 77 = ...
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, 10, 61, 25], create an equation that equals 94. You can use basic arithmetic operati...
<state> [10, 25, 61, 80] </state> <try> 80 + 25 = 105 -> [10, 25, 61, 80] </try> <try> 80 + 10 = 90 -> [10, 25, 61, 80] </try> <try> 80 / 10 = 8 -> [8, 25, 61] </try> <state> [8, 25, 61] </state> <try> 8 + 61 = 69 -> [25, 69] </try> <state> [25, 69] </state> <try> 69 + 25 = 94 -> [94] </try> <state> [94] </state> <answ...
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, 35, 80], create an equation that equals 74. You can use basic arithmetic operati...
<state> [35, 67, 80, 85] </state> <try> 67 - 35 = 32 -> [35, 67, 80, 85] </try> <try> 80 - 67 = 13 -> [35, 67, 80, 85] </try> <try> 85 - 35 = 50 -> [35, 67, 80, 85] </try> <try> 85 - 80 = 5 -> [5, 35, 67] </try> <state> [5, 35, 67] </state> <try> 35 / 5 = 7 -> [7, 67] </try> <state> [7, 67] </state> <try> 67 + 7 = 74 -...
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, 43, 31, 1], create an equation that equals 87. You can use basic arithmetic operatio...
<state> [1, 31, 43, 62] </state> <try> 62 + 31 = 93 -> [1, 31, 43, 62] </try> <try> 62 + 43 = 105 -> [1, 31, 43, 62] </try> <try> 43 + 31 = 74 -> [1, 31, 43, 62] </try> <try> 62 * 43 = 2666 -> [1, 31, 2666] </try> <state> [1, 31, 2666] </state> <try> 2666 / 31 = 86 -> [1, 86] </try> <state> [1, 86] </state> <try> 1 + 8...
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, 48, 44, 24], create an equation that equals 11. You can use basic arithmetic operati...
<state> [12, 24, 44, 48] </state> <try> 48 - 44 = 4 -> [12, 24, 44, 48] </try> <try> 24 / 12 = 2 -> [12, 24, 44, 48] </try> <try> 48 / 24 = 2 -> [12, 24, 44, 48] </try> <try> 24 - 12 = 12 -> [12, 44, 48] </try> <state> [12, 44, 48] </state> <try> 48 / 12 = 4 -> [4, 44] </try> <state> [4, 44] </state> <try> 44 / 4 = 11 ...
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, 93, 8], create an equation that equals 24. You can use basic arithmetic operations (...
<state> [8, 90, 93] </state> <try> 93 - 90 = 3 -> [3, 8] </try> <state> [3, 8] </state> <try> 3 * 8 = 24 -> [24] </try> <state> [24] </state> <answer> ((93 - 90) * 8) </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, 53, 57, 6], create an equation that equals 30. You can use basic arithmetic operatio...
<state> [6, 15, 53, 57] </state> <try> 15 * 6 = 90 -> [6, 15, 53, 57] </try> <try> 57 - 53 = 4 -> [4, 6, 15] </try> <state> [4, 6, 15] </state> <try> 6 - 4 = 2 -> [2, 15] </try> <state> [2, 15] </state> <try> 15 * 2 = 30 -> [30] </try> <state> [30] </state> <answer> (15 * (6 - (57 - 53))) </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 [68, 99, 96, 74], create an equation that equals 18. You can use basic arithmetic operati...
<state> [68, 74, 96, 99] </state> <try> 99 - 96 = 3 -> [3, 68, 74] </try> <state> [3, 68, 74] </state> <try> 74 - 68 = 6 -> [3, 6] </try> <state> [3, 6] </state> <try> 3 * 6 = 18 -> [18] </try> <state> [18] </state> <answer> ((99 - 96) * (74 - 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 [71, 1, 12], create an equation that equals 82. You can use basic arithmetic operations (...
<state> [1, 12, 71] </state> <try> 12 - 1 = 11 -> [11, 71] </try> <state> [11, 71] </state> <try> 71 + 11 = 82 -> [82] </try> <state> [82] </state> <answer> (71 + (12 - 1)) </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, 75, 74], create an equation that equals 87. You can use basic arithmetic operations ...
<state> [62, 74, 75] </state> <try> 75 + 62 = 137 -> [62, 74, 75] </try> <try> 75 - 62 = 13 -> [13, 74] </try> <state> [13, 74] </state> <try> 13 + 74 = 87 -> [87] </try> <state> [87] </state> <answer> ((75 - 62) + 74) </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 [57, 29, 82, 91], create an equation that equals 95. You can use basic arithmetic operati...
<state> [29, 57, 82, 91] </state> <try> 82 - 57 = 25 -> [29, 57, 82, 91] </try> <try> 82 - 29 = 53 -> [29, 57, 82, 91] </try> <try> 57 + 29 = 86 -> [29, 57, 82, 91] </try> <try> 91 - 82 = 9 -> [9, 29, 57] </try> <state> [9, 29, 57] </state> <try> 9 + 57 = 66 -> [29, 66] </try> <state> [29, 66] </state> <try> 66 + 29 = ...
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, 67, 9], create an equation that equals 100. You can use basic arithmetic operations ...
<state> [9, 24, 67] </state> <try> 67 + 24 = 91 -> [9, 91] </try> <state> [9, 91] </state> <try> 91 + 9 = 100 -> [100] </try> <state> [100] </state> <answer> ((67 + 24) + 9) </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 [81, 9, 27, 86], create an equation that equals 74. You can use basic arithmetic operatio...
<state> [9, 27, 81, 86] </state> <try> 81 - 9 = 72 -> [9, 27, 81, 86] </try> <try> 86 - 27 = 59 -> [9, 27, 81, 86] </try> <try> 27 / 9 = 3 -> [9, 27, 81, 86] </try> <try> 81 + 27 = 108 -> [9, 86, 108] </try> <state> [9, 86, 108] </state> <try> 108 / 9 = 12 -> [12, 86] </try> <state> [12, 86] </state> <try> 86 - 12 = 74...
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, 55, 14, 27], create an equation that equals 90. You can use basic arithmetic operati...
<state> [14, 27, 55, 88] </state> <try> 88 + 14 = 102 -> [14, 27, 55, 88] </try> <try> 88 - 14 = 74 -> [14, 27, 55, 88] </try> <try> 55 + 27 = 82 -> [14, 27, 55, 88] </try> <try> 55 - 27 = 28 -> [14, 28, 88] </try> <state> [14, 28, 88] </state> <try> 28 / 14 = 2 -> [2, 88] </try> <state> [2, 88] </state> <try> 88 + 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 [95, 56, 83, 10], create an equation that equals 78. You can use basic arithmetic operati...
<state> [10, 56, 83, 95] </state> <try> 95 - 83 = 12 -> [10, 56, 83, 95] </try> <try> 95 - 56 = 39 -> [10, 56, 83, 95] </try> <try> 95 - 10 = 85 -> [10, 56, 83, 95] </try> <try> 95 + 56 = 151 -> [10, 83, 151] </try> <state> [10, 83, 151] </state> <try> 83 - 10 = 73 -> [73, 151] </try> <state> [73, 151] </state> <try> 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 [18, 57, 22], create an equation that equals 97. You can use basic arithmetic operations ...
<state> [18, 22, 57] </state> <try> 57 - 22 = 35 -> [18, 22, 57] </try> <try> 57 + 22 = 79 -> [18, 79] </try> <state> [18, 79] </state> <try> 79 + 18 = 97 -> [97] </try> <state> [97] </state> <answer> ((57 + 22) + 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 [53, 3, 32, 6], create an equation that equals 39. You can use basic arithmetic operation...
<state> [3, 6, 32, 53] </state> <try> 53 + 32 = 85 -> [3, 6, 32, 53] </try> <try> 32 + 6 = 38 -> [3, 6, 32, 53] </try> <try> 53 - 6 = 47 -> [3, 6, 32, 53] </try> <try> 53 - 32 = 21 -> [3, 6, 21] </try> <state> [3, 6, 21] </state> <try> 3 * 6 = 18 -> [18, 21] </try> <state> [18, 21] </state> <try> 21 + 18 = 39 -> [39] <...
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, 13, 55, 18], create an equation that equals 26. You can use basic arithmetic operati...
<state> [13, 18, 55, 74] </state> <try> 74 - 55 = 19 -> [13, 18, 55, 74] </try> <try> 18 - 13 = 5 -> [13, 18, 55, 74] </try> <try> 18 + 13 = 31 -> [13, 18, 55, 74] </try> <try> 74 * 13 = 962 -> [18, 55, 962] </try> <state> [18, 55, 962] </state> <try> 55 - 18 = 37 -> [37, 962] </try> <state> [37, 962] </state> <try> 96...
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, 28, 66, 52], create an equation that equals 42. You can use basic arithmetic operati...
<state> [13, 28, 52, 66] </state> <try> 52 - 13 = 39 -> [13, 28, 52, 66] </try> <try> 52 - 28 = 24 -> [13, 28, 52, 66] </try> <try> 28 + 13 = 41 -> [13, 28, 52, 66] </try> <try> 52 / 13 = 4 -> [4, 28, 66] </try> <state> [4, 28, 66] </state> <try> 66 - 28 = 38 -> [4, 38] </try> <state> [4, 38] </state> <try> 4 + 38 = 42...
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, 61, 77, 56], create an equation that equals 53. You can use basic arithmetic operati...
<state> [19, 56, 61, 77] </state> <try> 77 - 61 = 16 -> [16, 19, 56] </try> <state> [16, 19, 56] </state> <try> 16 - 19 = -3 -> [-3, 56] </try> <state> [-3, 56] </state> <try> -3 + 56 = 53 -> [53] </try> <state> [53] </state> <answer> (((77 - 61) - 19) + 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 [53, 46, 67, 69], create an equation that equals 21. You can use basic arithmetic operati...
<state> [46, 53, 67, 69] </state> <try> 69 - 46 = 23 -> [46, 53, 67, 69] </try> <try> 67 - 53 = 14 -> [14, 46, 69] </try> <state> [14, 46, 69] </state> <try> 69 * 14 = 966 -> [46, 966] </try> <state> [46, 966] </state> <try> 966 / 46 = 21 -> [21] </try> <state> [21] </state> <answer> ((69 * (67 - 53)) / 46) </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 [70, 6, 62, 48], create an equation that equals 11. You can use basic arithmetic operatio...
<state> [6, 48, 62, 70] </state> <try> 48 / 6 = 8 -> [6, 48, 62, 70] </try> <try> 70 - 62 = 8 -> [6, 48, 62, 70] </try> <try> 62 - 48 = 14 -> [6, 14, 70] </try> <state> [6, 14, 70] </state> <try> 70 / 14 = 5 -> [5, 6] </try> <state> [5, 6] </state> <try> 6 + 5 = 11 -> [11] </try> <state> [11] </state> <answer> (6 + (70...
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 [89, 2, 2], create an equation that equals 89. You can use basic arithmetic operations (+...
<state> [2, 2, 89] </state> <try> 2 * 2 = 4 -> [2, 2, 89] </try> <try> 2 + 2 = 4 -> [2, 2, 89] </try> <try> 2 - 2 = 0 -> [2, 2, 89] </try> <try> 2 / 2 = 1 -> [1, 89] </try> <state> [1, 89] </state> <try> 1 * 89 = 89 -> [89] </try> <state> [89] </state> <answer> ((2 / 2) * 89) </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 [44, 54, 81, 79], create an equation that equals 96. You can use basic arithmetic operati...
<state> [44, 54, 79, 81] </state> <try> 44 + 54 = 98 -> [79, 81, 98] </try> <state> [79, 81, 98] </state> <try> 81 - 79 = 2 -> [2, 98] </try> <state> [2, 98] </state> <try> 98 - 2 = 96 -> [96] </try> <state> [96] </state> <answer> ((44 + 54) - (81 - 79)) </answer>
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