query
large_stringlengths
640
647
completion
large_stringlengths
180
431
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, 75, 50, 12], create an equation that equals 64. You can use basic arithmetic operati...
<State> [12, 27, 50, 75] </State> <Try> 75 - 50 = 25 -> [12, 27, 50, 75] </Try> <Try> 75 - 27 = 48 -> [12, 27, 50, 75] </Try> <Try> 50 + 27 = 77 -> [12, 27, 50, 75] </Try> <Try> 27 + 75 = 102 -> [12, 50, 102] </Try> <State> [12, 50, 102] </State> <Try> 50 - 12 = 38 -> [38, 102] </Try> <State> [38, 102] </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 [8, 89, 25, 95], create an equation that equals 23. You can use basic arithmetic operatio...
<State> [8, 25, 89, 95] </State> <Try> 25 + 8 = 33 -> [8, 25, 89, 95] </Try> <Try> 95 - 89 = 6 -> [6, 8, 25] </Try> <State> [6, 8, 25] </State> <Try> 25 - 8 = 17 -> [6, 17] </Try> <State> [6, 17] </State> <Try> 6 + 17 = 23 -> [23] </Try> <State> [23] </State> <answer> ((95 - 89) + (25 - 8)) = 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 [36, 18, 35, 7], create an equation that equals 60. You can use basic arithmetic operatio...
<State> [7, 18, 35, 36] </State> <Try> 18 * 7 = 126 -> [7, 18, 35, 36] </Try> <Try> 36 / 18 = 2 -> [7, 18, 35, 36] </Try> <Try> 35 - 7 = 28 -> [7, 18, 35, 36] </Try> <Try> 36 - 18 = 18 -> [7, 18, 35] </Try> <State> [7, 18, 35] </State> <Try> 35 + 7 = 42 -> [18, 42] </Try> <State> [18, 42] </State> <Try> 18 + 42 = 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 [75, 14, 93, 96], create an equation that equals 92. You can use basic arithmetic operati...
<State> [14, 75, 93, 96] </State> <Try> 96 - 75 = 21 -> [14, 75, 93, 96] </Try> <Try> 96 - 93 = 3 -> [14, 75, 93, 96] </Try> <Try> 96 - 14 = 82 -> [14, 75, 93, 96] </Try> <Try> 75 + 14 = 89 -> [89, 93, 96] </Try> <State> [89, 93, 96] </State> <Try> 89 + 96 = 185 -> [93, 185] </Try> <State> [93, 185] </State> <Try> 185 ...
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, 14, 70], create an equation that equals 98. You can use basic arithmetic operations (...
<State> [2, 14, 70] </State> <Try> 14 * 2 = 28 -> [28, 70] </Try> <State> [28, 70] </State> <Try> 70 + 28 = 98 -> [98] </Try> <State> [98] </State> <answer> (70 + (14 * 2)) = 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 [23, 55, 68, 43], create an equation that equals 53. You can use basic arithmetic operati...
<State> [23, 43, 55, 68] </State> <Try> 55 - 43 = 12 -> [23, 43, 55, 68] </Try> <Try> 68 - 43 = 25 -> [23, 43, 55, 68] </Try> <Try> 55 - 23 = 32 -> [23, 43, 55, 68] </Try> <Try> 43 + 23 = 66 -> [55, 66, 68] </Try> <State> [55, 66, 68] </State> <Try> 68 - 55 = 13 -> [13, 66] </Try> <State> [13, 66] </State> <Try> 66 - 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 [80, 37, 45, 14], create an equation that equals 86. You can use basic arithmetic operati...
<State> [14, 37, 45, 80] </State> <Try> 45 - 14 = 31 -> [14, 37, 45, 80] </Try> <Try> 80 + 37 = 117 -> [14, 37, 45, 80] </Try> <Try> 80 - 37 = 43 -> [14, 37, 45, 80] </Try> <Try> 80 + 14 = 94 -> [37, 45, 94] </Try> <State> [37, 45, 94] </State> <Try> 45 - 37 = 8 -> [8, 94] </Try> <State> [8, 94] </State> <Try> 94 - 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 [1, 20, 84, 19], create an equation that equals 44. You can use basic arithmetic operatio...
<State> [1, 19, 20, 84] </State> <Try> 84 - 19 = 65 -> [1, 20, 65] </Try> <State> [1, 20, 65] </State> <Try> 65 - 20 = 45 -> [1, 45] </Try> <State> [1, 45] </State> <Try> 45 - 1 = 44 -> [44] </Try> <State> [44] </State> <answer> (((84 - 19) - 20) - 1) = 44 </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, 74, 55, 94], create an equation that equals 50. You can use basic arithmetic operati...
<State> [15, 55, 74, 94] </State> <Try> 74 - 55 = 19 -> [15, 55, 74, 94] </Try> <Try> 94 - 74 = 20 -> [15, 55, 74, 94] </Try> <Try> 74 - 15 = 59 -> [15, 55, 74, 94] </Try> <Try> 15 + 74 = 89 -> [55, 89, 94] </Try> <State> [55, 89, 94] </State> <Try> 94 - 55 = 39 -> [39, 89] </Try> <State> [39, 89] </State> <Try> 89 - 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 [46, 41, 64, 55], create an equation that equals 45. You can use basic arithmetic operati...
<State> [41, 46, 55, 64] </State> <Try> 46 - 41 = 5 -> [5, 55, 64] </Try> <State> [5, 55, 64] </State> <Try> 64 - 55 = 9 -> [5, 9] </Try> <State> [5, 9] </State> <Try> 5 * 9 = 45 -> [45] </Try> <State> [45] </State> <answer> ((46 - 41) * (64 - 55)) = 45 </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, 8, 45, 47], create an equation that equals 71. You can use basic arithmetic operatio...
<State> [8, 15, 45, 47] </State> <Try> 47 + 15 = 62 -> [8, 15, 45, 47] </Try> <Try> 47 + 45 = 92 -> [8, 15, 45, 47] </Try> <Try> 47 - 15 = 32 -> [8, 15, 45, 47] </Try> <Try> 45 / 15 = 3 -> [3, 8, 47] </Try> <State> [3, 8, 47] </State> <Try> 8 * 3 = 24 -> [24, 47] </Try> <State> [24, 47] </State> <Try> 47 + 24 = 71 -> [...
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, 7, 48, 83], create an equation that equals 27. You can use basic arithmetic operatio...
<State> [7, 22, 48, 83] </State> <Try> 22 - 7 = 15 -> [7, 22, 48, 83] </Try> <Try> 83 - 22 = 61 -> [7, 22, 48, 83] </Try> <Try> 22 + 7 = 29 -> [7, 22, 48, 83] </Try> <Try> 83 - 48 = 35 -> [7, 22, 35] </Try> <State> [7, 22, 35] </State> <Try> 35 / 7 = 5 -> [5, 22] </Try> <State> [5, 22] </State> <Try> 22 + 5 = 27 -> [27...
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, 53, 95, 65], create an equation that equals 64. You can use basic arithmetic operati...
<State> [43, 53, 65, 95] </State> <Try> 95 - 53 = 42 -> [43, 53, 65, 95] </Try> <Try> 65 - 43 = 22 -> [43, 53, 65, 95] </Try> <Try> 95 - 65 = 30 -> [43, 53, 65, 95] </Try> <Try> 43 + 53 = 96 -> [65, 95, 96] </Try> <State> [65, 95, 96] </State> <Try> 95 + 65 = 160 -> [96, 160] </Try> <State> [96, 160] </State> <Try> 160...
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, 4, 76, 49], create an equation that equals 22. You can use basic arithmetic operatio...
<State> [4, 20, 49, 76] </State> <Try> 76 / 4 = 19 -> [4, 20, 49, 76] </Try> <Try> 20 + 4 = 24 -> [4, 20, 49, 76] </Try> <Try> 49 - 20 = 29 -> [4, 20, 49, 76] </Try> <Try> 20 / 4 = 5 -> [5, 49, 76] </Try> <State> [5, 49, 76] </State> <Try> 76 - 49 = 27 -> [5, 27] </Try> <State> [5, 27] </State> <Try> 27 - 5 = 22 -> [22...
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 [64, 13, 2, 19], create an equation that equals 71. You can use basic arithmetic operatio...
<State> [2, 13, 19, 64] </State> <Try> 19 - 13 = 6 -> [2, 13, 19, 64] </Try> <Try> 19 + 64 = 83 -> [2, 13, 19, 64] </Try> <Try> 64 - 19 = 45 -> [2, 13, 45] </Try> <State> [2, 13, 45] </State> <Try> 13 * 2 = 26 -> [26, 45] </Try> <State> [26, 45] </State> <Try> 45 + 26 = 71 -> [71] </Try> <State> [71] </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 [25, 54, 90, 70], create an equation that equals 49. You can use basic arithmetic operati...
<State> [25, 54, 70, 90] </State> <Try> 90 - 70 = 20 -> [20, 25, 54] </Try> <State> [20, 25, 54] </State> <Try> 54 - 25 = 29 -> [20, 29] </Try> <State> [20, 29] </State> <Try> 20 + 29 = 49 -> [49] </Try> <State> [49] </State> <answer> ((90 - 70) + (54 - 25)) = 49 </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 [28, 45, 27, 25], create an equation that equals 31. You can use basic arithmetic operati...
<State> [25, 27, 28, 45] </State> <Try> 45 - 28 = 17 -> [25, 27, 28, 45] </Try> <Try> 45 - 25 = 20 -> [25, 27, 28, 45] </Try> <Try> 45 - 27 = 18 -> [25, 27, 28, 45] </Try> <Try> 27 - 25 = 2 -> [2, 28, 45] </Try> <State> [2, 28, 45] </State> <Try> 28 / 2 = 14 -> [14, 45] </Try> <State> [14, 45] </State> <Try> 45 - 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 [2, 48, 47, 3], create an equation that equals 96. You can use basic arithmetic operation...
<State> [2, 3, 47, 48] </State> <Try> 47 - 3 = 44 -> [2, 3, 47, 48] </Try> <Try> 47 * 3 = 141 -> [2, 3, 47, 48] </Try> <Try> 2 * 48 = 96 -> [2, 3, 47, 48] </Try> <Try> 48 - 2 = 46 -> [3, 46, 47] </Try> <State> [3, 46, 47] </State> <Try> 47 + 3 = 50 -> [46, 50] </Try> <State> [46, 50] </State> <Try> 46 + 50 = 96 -> [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 [14, 12, 84, 3], create an equation that equals 48. You can use basic arithmetic operatio...
<State> [3, 12, 14, 84] </State> <Try> 84 / 3 = 28 -> [3, 12, 14, 84] </Try> <Try> 14 - 3 = 11 -> [11, 12, 84] </Try> <State> [11, 12, 84] </State> <Try> 12 * 11 = 132 -> [84, 132] </Try> <State> [84, 132] </State> <Try> 132 - 84 = 48 -> [48] </Try> <State> [48] </State> <answer> ((12 * (14 - 3)) - 84) = 48 </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, 1, 48, 29], create an equation that equals 88. You can use basic arithmetic operatio...
<State> [1, 29, 48, 51] </State> <Try> 51 + 48 = 99 -> [1, 29, 48, 51] </Try> <Try> 51 * 1 = 51 -> [1, 29, 48, 51] </Try> <Try> 48 + 29 = 77 -> [1, 29, 48, 51] </Try> <Try> 51 - 48 = 3 -> [1, 3, 29] </Try> <State> [1, 3, 29] </State> <Try> 29 * 3 = 87 -> [1, 87] </Try> <State> [1, 87] </State> <Try> 1 + 87 = 88 -> [88]...
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, 14, 15], create an equation that equals 74. You can use basic arithmetic operations ...
<State> [14, 15, 75] </State> <Try> 15 - 14 = 1 -> [1, 75] </Try> <State> [1, 75] </State> <Try> 75 - 1 = 74 -> [74] </Try> <State> [74] </State> <answer> (75 - (15 - 14)) = 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 [41, 80, 14, 78], create an equation that equals 68. You can use basic arithmetic operati...
<State> [14, 41, 78, 80] </State> <Try> 41 + 14 = 55 -> [14, 41, 78, 80] </Try> <Try> 80 - 14 = 66 -> [14, 41, 78, 80] </Try> <Try> 78 - 41 = 37 -> [14, 41, 78, 80] </Try> <Try> 80 - 78 = 2 -> [2, 14, 41] </Try> <State> [2, 14, 41] </State> <Try> 41 * 2 = 82 -> [14, 82] </Try> <State> [14, 82] </State> <Try> 82 - 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 [74, 1, 60, 37], create an equation that equals 59. You can use basic arithmetic operatio...
<State> [1, 37, 60, 74] </State> <Try> 60 - 1 = 59 -> [1, 37, 60, 74] </Try> <Try> 74 - 37 = 37 -> [1, 37, 60, 74] </Try> <Try> 37 * 1 = 37 -> [1, 37, 60, 74] </Try> <Try> 74 / 37 = 2 -> [1, 2, 60] </Try> <State> [1, 2, 60] </State> <Try> 1 + 60 = 61 -> [2, 61] </Try> <State> [2, 61] </State> <Try> 61 - 2 = 59 -> [59] ...
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, 64, 79], create an equation that equals 26. You can use basic arithmetic operations ...
<State> [41, 64, 79] </State> <Try> 79 - 64 = 15 -> [41, 64, 79] </Try> <Try> 41 + 64 = 105 -> [79, 105] </Try> <State> [79, 105] </State> <Try> 105 - 79 = 26 -> [26] </Try> <State> [26] </State> <answer> ((41 + 64) - 79) = 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 [16, 48, 80, 14], create an equation that equals 16. You can use basic arithmetic operati...
<State> [14, 16, 48, 80] </State> <Try> 48 / 16 = 3 -> [14, 16, 48, 80] </Try> <Try> 80 / 16 = 5 -> [14, 16, 48, 80] </Try> <Try> 80 - 14 = 66 -> [14, 16, 48, 80] </Try> <Try> 16 + 80 = 96 -> [14, 48, 96] </Try> <State> [14, 48, 96] </State> <Try> 96 / 48 = 2 -> [2, 14] </Try> <State> [2, 14] </State> <Try> 14 + 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 [69, 1, 89, 7], create an equation that equals 13. You can use basic arithmetic operation...
<State> [1, 7, 69, 89] </State> <Try> 89 - 69 = 20 -> [1, 7, 69, 89] </Try> <Try> 69 * 1 = 69 -> [7, 69, 89] </Try> <State> [7, 69, 89] </State> <Try> 89 - 7 = 82 -> [69, 82] </Try> <State> [69, 82] </State> <Try> 82 - 69 = 13 -> [13] </Try> <State> [13] </State> <answer> ((89 - 7) - (69 * 1)) = 13 </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, 15, 7, 39], create an equation that equals 43. You can use basic arithmetic operation...
<State> [6, 7, 15, 39] </State> <Try> 39 + 6 = 45 -> [6, 7, 15, 39] </Try> <Try> 39 - 6 = 33 -> [6, 7, 15, 39] </Try> <Try> 39 + 7 = 46 -> [6, 7, 15, 39] </Try> <Try> 7 * 39 = 273 -> [6, 15, 273] </Try> <State> [6, 15, 273] </State> <Try> 273 - 15 = 258 -> [6, 258] </Try> <State> [6, 258] </State> <Try> 258 / 6 = 43 ->...
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, 43, 3, 23], create an equation that equals 19. You can use basic arithmetic operatio...
<State> [3, 23, 43, 55] </State> <Try> 23 - 3 = 20 -> [3, 23, 43, 55] </Try> <Try> 43 - 23 = 20 -> [3, 23, 43, 55] </Try> <Try> 55 - 3 = 52 -> [3, 23, 43, 55] </Try> <Try> 55 - 43 = 12 -> [3, 12, 23] </Try> <State> [3, 12, 23] </State> <Try> 12 / 3 = 4 -> [4, 23] </Try> <State> [4, 23] </State> <Try> 23 - 4 = 19 -> [19...
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, 15, 6, 3], create an equation that equals 43. You can use basic arithmetic operation...
<State> [3, 6, 15, 61] </State> <Try> 3 * 6 = 18 -> [3, 6, 15, 61] </Try> <Try> 6 / 3 = 2 -> [3, 6, 15, 61] </Try> <Try> 61 - 15 = 46 -> [3, 6, 46] </Try> <State> [3, 6, 46] </State> <Try> 6 - 3 = 3 -> [3, 46] </Try> <State> [3, 46] </State> <Try> 46 - 3 = 43 -> [43] </Try> <State> [43] </State> <answer> ((61 - 15) - (...
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, 70, 33], create an equation that equals 82. You can use basic arithmetic operations ...
<State> [33, 45, 70] </State> <Try> 45 + 70 = 115 -> [33, 45, 70] </Try> <Try> 70 - 45 = 25 -> [33, 45, 70] </Try> <Try> 45 - 33 = 12 -> [12, 70] </Try> <State> [12, 70] </State> <Try> 12 + 70 = 82 -> [82] </Try> <State> [82] </State> <answer> ((45 - 33) + 70) = 82 </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, 7, 33, 18], create an equation that equals 94. You can use basic arithmetic operation...
<State> [1, 7, 18, 33] </State> <Try> 33 + 18 = 51 -> [1, 7, 18, 33] </Try> <Try> 33 * 18 = 594 -> [1, 7, 18, 33] </Try> <Try> 33 + 7 = 40 -> [1, 7, 18, 33] </Try> <Try> 7 * 18 = 126 -> [1, 33, 126] </Try> <State> [1, 33, 126] </State> <Try> 126 - 33 = 93 -> [1, 93] </Try> <State> [1, 93] </State> <Try> 93 + 1 = 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 [11, 38, 29, 5], create an equation that equals 54. You can use basic arithmetic operatio...
<State> [5, 11, 29, 38] </State> <Try> 38 + 11 = 49 -> [5, 11, 29, 38] </Try> <Try> 38 + 29 = 67 -> [5, 11, 29, 38] </Try> <Try> 11 * 5 = 55 -> [5, 11, 29, 38] </Try> <Try> 11 - 5 = 6 -> [6, 29, 38] </Try> <State> [6, 29, 38] </State> <Try> 38 - 29 = 9 -> [6, 9] </Try> <State> [6, 9] </State> <Try> 6 * 9 = 54 -> [54] <...
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, 46, 55, 60], create an equation that equals 70. You can use basic arithmetic operati...
<State> [46, 55, 60, 60] </State> <Try> 60 + 60 = 120 -> [46, 55, 60, 60] </Try> <Try> 60 - 60 = 0 -> [46, 55, 60, 60] </Try> <Try> 55 + 46 = 101 -> [46, 55, 60, 60] </Try> <Try> 60 - 46 = 14 -> [14, 55, 60] </Try> <State> [14, 55, 60] </State> <Try> 60 - 55 = 5 -> [5, 14] </Try> <State> [5, 14] </State> <Try> 14 * 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 [39, 32, 75, 66], create an equation that equals 63. You can use basic arithmetic operati...
<State> [32, 39, 66, 75] </State> <Try> 75 - 32 = 43 -> [32, 39, 66, 75] </Try> <Try> 66 - 39 = 27 -> [32, 39, 66, 75] </Try> <Try> 32 + 39 = 71 -> [32, 39, 66, 75] </Try> <Try> 39 - 32 = 7 -> [7, 66, 75] </Try> <State> [7, 66, 75] </State> <Try> 75 - 66 = 9 -> [7, 9] </Try> <State> [7, 9] </State> <Try> 7 * 9 = 63 -> ...
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, 80, 57, 6], create an equation that equals 57. You can use basic arithmetic operatio...
<State> [6, 57, 80, 85] </State> <Try> 80 + 6 = 86 -> [6, 57, 80, 85] </Try> <Try> 85 - 6 = 79 -> [6, 57, 80, 85] </Try> <Try> 85 - 80 = 5 -> [5, 6, 57] </Try> <State> [5, 6, 57] </State> <Try> 6 - 5 = 1 -> [1, 57] </Try> <State> [1, 57] </State> <Try> 57 * 1 = 57 -> [57] </Try> <State> [57] </State> <answer> (57 * (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 [68, 25, 12], create an equation that equals 55. You can use basic arithmetic operations ...
<State> [12, 25, 68] </State> <Try> 68 - 12 = 56 -> [12, 25, 68] </Try> <Try> 25 + 12 = 37 -> [12, 25, 68] </Try> <Try> 68 - 25 = 43 -> [12, 43] </Try> <State> [12, 43] </State> <Try> 43 + 12 = 55 -> [55] </Try> <State> [55] </State> <answer> ((68 - 25) + 12) = 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 [94, 94, 83], create an equation that equals 84. You can use basic arithmetic operations ...
<State> [83, 94, 94] </State> <Try> 94 - 94 = 0 -> [83, 94, 94] </Try> <Try> 94 + 94 = 188 -> [83, 94, 94] </Try> <Try> 94 * 94 = 8836 -> [83, 94, 94] </Try> <Try> 94 / 94 = 1 -> [1, 83] </Try> <State> [1, 83] </State> <Try> 83 + 1 = 84 -> [84] </Try> <State> [84] </State> <answer> (83 + (94 / 94)) = 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 [9, 21, 37, 10], create an equation that equals 77. You can use basic arithmetic operatio...
<State> [9, 10, 21, 37] </State> <Try> 37 + 21 = 58 -> [9, 10, 21, 37] </Try> <Try> 9 + 10 = 19 -> [19, 21, 37] </Try> <State> [19, 21, 37] </State> <Try> 19 + 21 = 40 -> [37, 40] </Try> <State> [37, 40] </State> <Try> 40 + 37 = 77 -> [77] </Try> <State> [77] </State> <answer> (((9 + 10) + 21) + 37) = 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 [67, 79, 65, 40], create an equation that equals 78. You can use basic arithmetic operati...
<State> [40, 65, 67, 79] </State> <Try> 40 / 40 = 1 -> [40, 65, 67, 79] </Try> <Try> 79 - 67 = 12 -> [40, 65, 67, 79] </Try> <Try> 65 - 40 = 25 -> [40, 65, 67, 79] </Try> <Try> 67 - 65 = 2 -> [2, 40, 79] </Try> <State> [2, 40, 79] </State> <Try> 79 - 40 = 39 -> [2, 39] </Try> <State> [2, 39] </State> <Try> 2 * 39 = 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 [56, 90, 55, 71], create an equation that equals 61. You can use basic arithmetic operati...
<State> [55, 56, 71, 90] </State> <Try> 56 - 55 = 1 -> [55, 56, 71, 90] </Try> <Try> 90 - 71 = 19 -> [55, 56, 71, 90] </Try> <Try> 56 + 55 = 111 -> [55, 56, 71, 90] </Try> <Try> 71 - 56 = 15 -> [15, 55, 90] </Try> <State> [15, 55, 90] </State> <Try> 90 / 15 = 6 -> [6, 55] </Try> <State> [6, 55] </State> <Try> 55 + 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 [63, 36, 11, 27], create an equation that equals 27. You can use basic arithmetic operati...
<State> [11, 27, 36, 63] </State> <Try> 63 - 36 = 27 -> [11, 27, 36, 63] </Try> <Try> 63 * 11 = 693 -> [27, 36, 693] </Try> <State> [27, 36, 693] </State> <Try> 36 + 693 = 729 -> [27, 729] </Try> <State> [27, 729] </State> <Try> 729 / 27 = 27 -> [27] </Try> <State> [27] </State> <answer> ((36 + (63 * 11)) / 27) = 27 </...
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, 36, 76, 50], create an equation that equals 27. You can use basic arithmetic operati...
<State> [35, 36, 50, 76] </State> <Try> 76 - 50 = 26 -> [26, 35, 36] </Try> <State> [26, 35, 36] </State> <Try> 36 - 35 = 1 -> [1, 26] </Try> <State> [1, 26] </State> <Try> 26 + 1 = 27 -> [27] </Try> <State> [27] </State> <answer> ((76 - 50) + (36 - 35)) = 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 [93, 87, 37, 69], create an equation that equals 48. You can use basic arithmetic operati...
<State> [37, 69, 87, 93] </State> <Try> 93 + 37 = 130 -> [37, 69, 87, 93] </Try> <Try> 93 - 37 = 56 -> [37, 69, 87, 93] </Try> <Try> 87 + 69 = 156 -> [37, 69, 87, 93] </Try> <Try> 87 * 37 = 3219 -> [69, 93, 3219] </Try> <State> [69, 93, 3219] </State> <Try> 93 + 3219 = 3312 -> [69, 3312] </Try> <State> [69, 3312] </Sta...
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, 17, 2, 36], create an equation that equals 69. You can use basic arithmetic operatio...
<State> [2, 17, 31, 36] </State> <Try> 31 + 36 = 67 -> [2, 17, 31, 36] </Try> <Try> 31 * 2 = 62 -> [2, 17, 31, 36] </Try> <Try> 17 * 2 = 34 -> [2, 17, 31, 36] </Try> <Try> 36 - 17 = 19 -> [2, 19, 31] </Try> <State> [2, 19, 31] </State> <Try> 2 * 19 = 38 -> [31, 38] </Try> <State> [31, 38] </State> <Try> 31 + 38 = 69 ->...
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 [5, 85, 93, 20], create an equation that equals 97. You can use basic arithmetic operatio...
<State> [5, 20, 85, 93] </State> <Try> 20 / 5 = 4 -> [5, 20, 85, 93] </Try> <Try> 85 - 5 = 80 -> [20, 80, 93] </Try> <State> [20, 80, 93] </State> <Try> 80 / 20 = 4 -> [4, 93] </Try> <State> [4, 93] </State> <Try> 93 + 4 = 97 -> [97] </Try> <State> [97] </State> <answer> (93 + ((85 - 5) / 20)) = 97 </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, 41, 16, 11], create an equation that equals 58. You can use basic arithmetic operati...
<State> [11, 16, 41, 44] </State> <Try> 44 - 41 = 3 -> [11, 16, 41, 44] </Try> <Try> 16 - 11 = 5 -> [11, 16, 41, 44] </Try> <Try> 41 - 11 = 30 -> [11, 16, 41, 44] </Try> <Try> 44 + 41 = 85 -> [11, 16, 85] </Try> <State> [11, 16, 85] </State> <Try> 16 + 11 = 27 -> [27, 85] </Try> <State> [27, 85] </State> <Try> 85 - 27 ...
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, 92, 38, 16], create an equation that equals 62. You can use basic arithmetic operati...
<State> [16, 31, 38, 92] </State> <Try> 92 - 38 = 54 -> [16, 31, 38, 92] </Try> <Try> 92 - 31 = 61 -> [16, 31, 38, 92] </Try> <Try> 38 - 16 = 22 -> [16, 31, 38, 92] </Try> <Try> 92 - 16 = 76 -> [31, 38, 76] </Try> <State> [31, 38, 76] </State> <Try> 31 * 76 = 2356 -> [38, 2356] </Try> <State> [38, 2356] </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 [34, 78, 97], create an equation that equals 53. You can use basic arithmetic operations ...
<State> [34, 78, 97] </State> <Try> 78 - 34 = 44 -> [34, 78, 97] </Try> <Try> 97 - 78 = 19 -> [19, 34] </Try> <State> [19, 34] </State> <Try> 19 + 34 = 53 -> [53] </Try> <State> [53] </State> <answer> ((97 - 78) + 34) = 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 [94, 86, 15, 46], create an equation that equals 23. You can use basic arithmetic operati...
<State> [15, 46, 86, 94] </State> <Try> 94 - 46 = 48 -> [15, 46, 86, 94] </Try> <Try> 86 - 46 = 40 -> [15, 46, 86, 94] </Try> <Try> 86 - 15 = 71 -> [15, 46, 86, 94] </Try> <Try> 94 - 86 = 8 -> [8, 15, 46] </Try> <State> [8, 15, 46] </State> <Try> 46 - 15 = 31 -> [8, 31] </Try> <State> [8, 31] </State> <Try> 31 - 8 = 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 [43, 36, 59], create an equation that equals 20. You can use basic arithmetic operations ...
<State> [36, 43, 59] </State> <Try> 43 - 36 = 7 -> [36, 43, 59] </Try> <Try> 59 - 43 = 16 -> [36, 43, 59] </Try> <Try> 59 - 36 = 23 -> [36, 43, 59] </Try> <Try> 43 + 36 = 79 -> [59, 79] </Try> <State> [59, 79] </State> <Try> 79 - 59 = 20 -> [20] </Try> <State> [20] </State> <answer> ((43 + 36) - 59) = 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 [3, 49, 12, 91], create an equation that equals 90. You can use basic arithmetic operatio...
<State> [3, 12, 49, 91] </State> <Try> 12 * 3 = 36 -> [3, 12, 49, 91] </Try> <Try> 91 - 49 = 42 -> [3, 12, 49, 91] </Try> <Try> 49 + 12 = 61 -> [3, 61, 91] </Try> <State> [3, 61, 91] </State> <Try> 91 - 61 = 30 -> [3, 30] </Try> <State> [3, 30] </State> <Try> 3 * 30 = 90 -> [90] </Try> <State> [90] </State> <answer> (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 [30, 38, 21, 48], create an equation that equals 52. You can use basic arithmetic operati...
<State> [21, 30, 38, 48] </State> <Try> 38 - 30 = 8 -> [21, 30, 38, 48] </Try> <Try> 30 - 21 = 9 -> [21, 30, 38, 48] </Try> <Try> 48 - 38 = 10 -> [21, 30, 38, 48] </Try> <Try> 30 * 38 = 1140 -> [21, 48, 1140] </Try> <State> [21, 48, 1140] </State> <Try> 1140 - 48 = 1092 -> [21, 1092] </Try> <State> [21, 1092] </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 [96, 70, 78], create an equation that equals 52. You can use basic arithmetic operations ...
<State> [70, 78, 96] </State> <Try> 96 - 78 = 18 -> [70, 78, 96] </Try> <Try> 78 - 70 = 8 -> [70, 78, 96] </Try> <Try> 96 - 70 = 26 -> [26, 78] </Try> <State> [26, 78] </State> <Try> 78 - 26 = 52 -> [52] </Try> <State> [52] </State> <answer> (78 - (96 - 70)) = 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 [98, 70, 92, 14], create an equation that equals 29. You can use basic arithmetic operati...
<State> [14, 70, 92, 98] </State> <Try> 70 / 14 = 5 -> [14, 70, 92, 98] </Try> <Try> 98 - 70 = 28 -> [14, 70, 92, 98] </Try> <Try> 92 - 14 = 78 -> [14, 70, 92, 98] </Try> <Try> 98 / 14 = 7 -> [7, 70, 92] </Try> <State> [7, 70, 92] </State> <Try> 92 - 70 = 22 -> [7, 22] </Try> <State> [7, 22] </State> <Try> 7 + 22 = 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 [20, 5, 42], create an equation that equals 67. You can use basic arithmetic operations (...
<State> [5, 20, 42] </State> <Try> 20 + 42 = 62 -> [5, 62] </Try> <State> [5, 62] </State> <Try> 62 + 5 = 67 -> [67] </Try> <State> [67] </State> <answer> ((20 + 42) + 5) = 67 </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, 18, 22, 68], create an equation that equals 98. You can use basic arithmetic operati...
<State> [18, 22, 68, 93] </State> <Try> 22 - 18 = 4 -> [18, 22, 68, 93] </Try> <Try> 68 - 22 = 46 -> [18, 22, 68, 93] </Try> <Try> 68 - 18 = 50 -> [18, 22, 68, 93] </Try> <Try> 22 + 68 = 90 -> [18, 90, 93] </Try> <State> [18, 90, 93] </State> <Try> 90 / 18 = 5 -> [5, 93] </Try> <State> [5, 93] </State> <Try> 93 + 5 = 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 [76, 20, 14], create an equation that equals 70. You can use basic arithmetic operations ...
<State> [14, 20, 76] </State> <Try> 76 - 20 = 56 -> [14, 20, 76] </Try> <Try> 76 + 20 = 96 -> [14, 20, 76] </Try> <Try> 76 * 20 = 1520 -> [14, 20, 76] </Try> <Try> 20 - 14 = 6 -> [6, 76] </Try> <State> [6, 76] </State> <Try> 76 - 6 = 70 -> [70] </Try> <State> [70] </State> <answer> (76 - (20 - 14)) = 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 [78, 81, 59, 63], create an equation that equals 37. You can use basic arithmetic operati...
<State> [59, 63, 78, 81] </State> <Try> 81 - 78 = 3 -> [59, 63, 78, 81] </Try> <Try> 63 - 59 = 4 -> [59, 63, 78, 81] </Try> <Try> 81 - 63 = 18 -> [59, 63, 78, 81] </Try> <Try> 78 + 81 = 159 -> [59, 63, 159] </Try> <State> [59, 63, 159] </State> <Try> 59 + 63 = 122 -> [122, 159] </Try> <State> [122, 159] </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 [5, 48, 4, 79], create an equation that equals 32. You can use basic arithmetic operation...
<State> [4, 5, 48, 79] </State> <Try> 79 - 48 = 31 -> [4, 5, 31] </Try> <State> [4, 5, 31] </State> <Try> 31 + 5 = 36 -> [4, 36] </Try> <State> [4, 36] </State> <Try> 36 - 4 = 32 -> [32] </Try> <State> [32] </State> <answer> (((79 - 48) + 5) - 4) = 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 [25, 84, 79, 95], create an equation that equals 29. You can use basic arithmetic operati...
<State> [25, 79, 84, 95] </State> <Try> 95 - 79 = 16 -> [25, 79, 84, 95] </Try> <Try> 84 - 25 = 59 -> [25, 79, 84, 95] </Try> <Try> 95 - 84 = 11 -> [25, 79, 84, 95] </Try> <Try> 25 * 95 = 2375 -> [79, 84, 2375] </Try> <State> [79, 84, 2375] </State> <Try> 2375 - 84 = 2291 -> [79, 2291] </Try> <State> [79, 2291] </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 [36, 78, 26], create an equation that equals 12. You can use basic arithmetic operations ...
<State> [26, 36, 78] </State> <Try> 78 / 26 = 3 -> [3, 36] </Try> <State> [3, 36] </State> <Try> 36 / 3 = 12 -> [12] </Try> <State> [12] </State> <answer> (36 / (78 / 26)) = 12 </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 [7, 49, 91], create an equation that equals 98. You can use basic arithmetic operations (...
<State> [7, 49, 91] </State> <Try> 91 + 49 = 140 -> [7, 49, 91] </Try> <Try> 91 - 49 = 42 -> [7, 49, 91] </Try> <Try> 49 + 7 = 56 -> [7, 49, 91] </Try> <Try> 49 / 7 = 7 -> [7, 91] </Try> <State> [7, 91] </State> <Try> 91 + 7 = 98 -> [98] </Try> <State> [98] </State> <answer> (91 + (49 / 7)) = 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 [13, 84, 52, 2], create an equation that equals 46. You can use basic arithmetic operatio...
<State> [2, 13, 52, 84] </State> <Try> 84 / 2 = 42 -> [2, 13, 52, 84] </Try> <Try> 52 - 13 = 39 -> [2, 13, 52, 84] </Try> <Try> 13 * 2 = 26 -> [2, 13, 52, 84] </Try> <Try> 13 + 52 = 65 -> [2, 65, 84] </Try> <State> [2, 65, 84] </State> <Try> 2 * 65 = 130 -> [84, 130] </Try> <State> [84, 130] </State> <Try> 130 - 84 = 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 [69, 47, 15, 23], create an equation that equals 30. You can use basic arithmetic operati...
<State> [15, 23, 47, 69] </State> <Try> 69 - 23 = 46 -> [15, 23, 47, 69] </Try> <Try> 69 - 47 = 22 -> [15, 22, 23] </Try> <State> [15, 22, 23] </State> <Try> 23 - 15 = 8 -> [8, 22] </Try> <State> [8, 22] </State> <Try> 22 + 8 = 30 -> [30] </Try> <State> [30] </State> <answer> ((69 - 47) + (23 - 15)) = 30 </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, 23, 11, 69], create an equation that equals 64. You can use basic arithmetic operati...
<State> [11, 23, 32, 69] </State> <Try> 69 / 23 = 3 -> [11, 23, 32, 69] </Try> <Try> 69 - 23 = 46 -> [11, 23, 32, 69] </Try> <Try> 23 - 11 = 12 -> [11, 23, 32, 69] </Try> <Try> 32 + 23 = 55 -> [11, 55, 69] </Try> <State> [11, 55, 69] </State> <Try> 55 / 11 = 5 -> [5, 69] </Try> <State> [5, 69] </State> <Try> 69 - 5 = 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 [36, 45, 59], create an equation that equals 22. You can use basic arithmetic operations ...
<State> [36, 45, 59] </State> <Try> 59 - 45 = 14 -> [36, 45, 59] </Try> <Try> 59 - 36 = 23 -> [36, 45, 59] </Try> <Try> 45 / 45 = 1 -> [36, 45, 59] </Try> <Try> 36 + 45 = 81 -> [59, 81] </Try> <State> [59, 81] </State> <Try> 81 - 59 = 22 -> [22] </Try> <State> [22] </State> <answer> ((36 + 45) - 59) = 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 [32, 89, 7, 48], create an equation that equals 98. You can use basic arithmetic operatio...
<State> [7, 32, 48, 89] </State> <Try> 32 - 7 = 25 -> [7, 32, 48, 89] </Try> <Try> 48 - 32 = 16 -> [7, 16, 89] </Try> <State> [7, 16, 89] </State> <Try> 16 - 7 = 9 -> [9, 89] </Try> <State> [9, 89] </State> <Try> 9 + 89 = 98 -> [98] </Try> <State> [98] </State> <answer> (((48 - 32) - 7) + 89) = 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 [2, 44, 44, 41], create an equation that equals 83. You can use basic arithmetic operatio...
<State> [2, 41, 44, 44] </State> <Try> 44 + 44 = 88 -> [2, 41, 44, 44] </Try> <Try> 44 - 44 = 0 -> [2, 41, 44, 44] </Try> <Try> 41 + 44 = 85 -> [2, 41, 44, 44] </Try> <Try> 2 * 41 = 82 -> [44, 44, 82] </Try> <State> [44, 44, 82] </State> <Try> 44 / 44 = 1 -> [1, 82] </Try> <State> [1, 82] </State> <Try> 82 + 1 = 83 -> ...
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, 17, 38, 9], create an equation that equals 54. You can use basic arithmetic operatio...
<State> [9, 17, 38, 42] </State> <Try> 42 - 38 = 4 -> [9, 17, 38, 42] </Try> <Try> 17 - 9 = 8 -> [9, 17, 38, 42] </Try> <Try> 38 + 17 = 55 -> [9, 17, 38, 42] </Try> <Try> 42 + 38 = 80 -> [9, 17, 80] </Try> <State> [9, 17, 80] </State> <Try> 80 - 17 = 63 -> [9, 63] </Try> <State> [9, 63] </State> <Try> 63 - 9 = 54 -> [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 [88, 87, 53, 67], create an equation that equals 13. You can use basic arithmetic operati...
<State> [53, 67, 87, 88] </State> <Try> 67 - 53 = 14 -> [14, 87, 88] </Try> <State> [14, 87, 88] </State> <Try> 88 - 87 = 1 -> [1, 14] </Try> <State> [1, 14] </State> <Try> 14 - 1 = 13 -> [13] </Try> <State> [13] </State> <answer> ((67 - 53) - (88 - 87)) = 13 </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 [37, 4, 29], create an equation that equals 70. You can use basic arithmetic operations (...
<State> [4, 29, 37] </State> <Try> 37 * 4 = 148 -> [4, 29, 37] </Try> <Try> 29 * 4 = 116 -> [4, 29, 37] </Try> <Try> 37 + 29 = 66 -> [4, 66] </Try> <State> [4, 66] </State> <Try> 66 + 4 = 70 -> [70] </Try> <State> [70] </State> <answer> ((37 + 29) + 4) = 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 [75, 39, 19, 75], create an equation that equals 57. You can use basic arithmetic operati...
<State> [19, 39, 75, 75] </State> <Try> 75 - 19 = 56 -> [19, 39, 75, 75] </Try> <Try> 75 / 75 = 1 -> [1, 19, 39] </Try> <State> [1, 19, 39] </State> <Try> 39 + 19 = 58 -> [1, 58] </Try> <State> [1, 58] </State> <Try> 58 - 1 = 57 -> [57] </Try> <State> [57] </State> <answer> ((39 + 19) - (75 / 75)) = 57 </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, 67, 48, 49], create an equation that equals 11. You can use basic arithmetic operati...
<State> [41, 48, 49, 67] </State> <Try> 67 - 41 = 26 -> [41, 48, 49, 67] </Try> <Try> 41 + 67 = 108 -> [48, 49, 108] </Try> <State> [48, 49, 108] </State> <Try> 48 + 49 = 97 -> [97, 108] </Try> <State> [97, 108] </State> <Try> 108 - 97 = 11 -> [11] </Try> <State> [11] </State> <answer> ((41 + 67) - (48 + 49)) = 11 </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 [8, 58, 73, 67], create an equation that equals 72. You can use basic arithmetic operatio...
<State> [8, 58, 67, 73] </State> <Try> 67 - 58 = 9 -> [8, 58, 67, 73] </Try> <Try> 8 + 58 = 66 -> [66, 67, 73] </Try> <State> [66, 67, 73] </State> <Try> 73 - 67 = 6 -> [6, 66] </Try> <State> [6, 66] </State> <Try> 66 + 6 = 72 -> [72] </Try> <State> [72] </State> <answer> ((8 + 58) + (73 - 67)) = 72 </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, 60, 13, 69], create an equation that equals 41. You can use basic arithmetic operati...
<State> [13, 60, 62, 69] </State> <Try> 69 - 62 = 7 -> [13, 60, 62, 69] </Try> <Try> 60 - 13 = 47 -> [13, 60, 62, 69] </Try> <Try> 69 - 60 = 9 -> [13, 60, 62, 69] </Try> <Try> 62 - 60 = 2 -> [2, 13, 69] </Try> <State> [2, 13, 69] </State> <Try> 13 + 69 = 82 -> [2, 82] </Try> <State> [2, 82] </State> <Try> 82 / 2 = 41 -...
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, 73, 2, 75], create an equation that equals 16. You can use basic arithmetic operatio...
<State> [2, 39, 73, 75] </State> <Try> 75 - 73 = 2 -> [2, 39, 73, 75] </Try> <Try> 73 - 39 = 34 -> [2, 39, 73, 75] </Try> <Try> 75 - 39 = 36 -> [2, 39, 73, 75] </Try> <Try> 39 + 75 = 114 -> [2, 73, 114] </Try> <State> [2, 73, 114] </State> <Try> 114 / 2 = 57 -> [57, 73] </Try> <State> [57, 73] </State> <Try> 73 - 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 [1, 33, 97], create an equation that equals 65. You can use basic arithmetic operations (...
<State> [1, 33, 97] </State> <Try> 97 - 33 = 64 -> [1, 64] </Try> <State> [1, 64] </State> <Try> 64 + 1 = 65 -> [65] </Try> <State> [65] </State> <answer> ((97 - 33) + 1) = 65 </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, 99, 36, 3], create an equation that equals 62. You can use basic arithmetic operatio...
<State> [3, 36, 59, 99] </State> <Try> 59 + 3 = 62 -> [3, 36, 59, 99] </Try> <Try> 99 - 36 = 63 -> [3, 36, 59, 99] </Try> <Try> 59 * 3 = 177 -> [3, 36, 59, 99] </Try> <Try> 59 + 36 = 95 -> [3, 95, 99] </Try> <State> [3, 95, 99] </State> <Try> 99 / 3 = 33 -> [33, 95] </Try> <State> [33, 95] </State> <Try> 95 - 33 = 62 -...
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, 39, 74, 26], create an equation that equals 100. You can use basic arithmetic operat...
<State> [26, 39, 74, 76] </State> <Try> 76 + 26 = 102 -> [26, 39, 74, 76] </Try> <Try> 74 + 26 = 100 -> [26, 39, 74, 76] </Try> <Try> 76 - 39 = 37 -> [26, 39, 74, 76] </Try> <Try> 76 + 74 = 150 -> [26, 39, 150] </Try> <State> [26, 39, 150] </State> <Try> 26 * 150 = 3900 -> [39, 3900] </Try> <State> [39, 3900] </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 [12, 74, 60, 79], create an equation that equals 81. You can use basic arithmetic operati...
<State> [12, 60, 74, 79] </State> <Try> 79 + 12 = 91 -> [12, 60, 74, 79] </Try> <Try> 79 - 12 = 67 -> [12, 60, 74, 79] </Try> <Try> 74 + 12 = 86 -> [12, 60, 74, 79] </Try> <Try> 74 + 79 = 153 -> [12, 60, 153] </Try> <State> [12, 60, 153] </State> <Try> 153 - 60 = 93 -> [12, 93] </Try> <State> [12, 93] </State> <Try> 93...
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, 10, 99, 88], create an equation that equals 93. You can use basic arithmetic operati...
<State> [10, 88, 97, 99] </State> <Try> 99 - 88 = 11 -> [10, 88, 97, 99] </Try> <Try> 88 + 10 = 98 -> [10, 88, 97, 99] </Try> <Try> 99 - 97 = 2 -> [2, 10, 88] </Try> <State> [2, 10, 88] </State> <Try> 10 / 2 = 5 -> [5, 88] </Try> <State> [5, 88] </State> <Try> 88 + 5 = 93 -> [93] </Try> <State> [93] </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 [16, 21, 97, 27], create an equation that equals 65. You can use basic arithmetic operati...
<State> [16, 21, 27, 97] </State> <Try> 97 - 27 = 70 -> [16, 21, 27, 97] </Try> <Try> 21 + 27 = 48 -> [16, 21, 27, 97] </Try> <Try> 97 - 16 = 81 -> [16, 21, 27, 97] </Try> <Try> 97 - 21 = 76 -> [16, 27, 76] </Try> <State> [16, 27, 76] </State> <Try> 76 - 27 = 49 -> [16, 49] </Try> <State> [16, 49] </State> <Try> 49 + 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 [40, 9, 56], create an equation that equals 25. You can use basic arithmetic operations (...
<State> [9, 40, 56] </State> <Try> 40 - 9 = 31 -> [9, 40, 56] </Try> <Try> 56 - 40 = 16 -> [9, 16] </Try> <State> [9, 16] </State> <Try> 16 + 9 = 25 -> [25] </Try> <State> [25] </State> <answer> ((56 - 40) + 9) = 25 </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, 40, 61, 61], create an equation that equals 93. You can use basic arithmetic operatio...
<State> [1, 40, 61, 61] </State> <Try> 61 + 40 = 101 -> [1, 40, 61, 61] </Try> <Try> 61 - 40 = 21 -> [1, 40, 61, 61] </Try> <Try> 61 + 61 = 122 -> [1, 40, 61, 61] </Try> <Try> 61 * 61 = 3721 -> [1, 40, 3721] </Try> <State> [1, 40, 3721] </State> <Try> 3721 - 1 = 3720 -> [40, 3720] </Try> <State> [40, 3720] </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 [31, 21, 51, 42], create an equation that equals 42. You can use basic arithmetic operati...
<State> [21, 31, 42, 51] </State> <Try> 51 - 42 = 9 -> [21, 31, 42, 51] </Try> <Try> 31 - 21 = 10 -> [21, 31, 42, 51] </Try> <Try> 51 - 31 = 20 -> [21, 31, 42, 51] </Try> <Try> 31 + 21 = 52 -> [42, 51, 52] </Try> <State> [42, 51, 52] </State> <Try> 52 - 51 = 1 -> [1, 42] </Try> <State> [1, 42] </State> <Try> 42 * 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 [66, 25, 19], create an equation that equals 11. You can use basic arithmetic operations ...
<State> [19, 25, 66] </State> <Try> 66 - 19 = 47 -> [19, 25, 66] </Try> <Try> 25 - 19 = 6 -> [6, 66] </Try> <State> [6, 66] </State> <Try> 66 / 6 = 11 -> [11] </Try> <State> [11] </State> <answer> (66 / (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 [68, 7, 69, 47], create an equation that equals 97. You can use basic arithmetic operatio...
<State> [7, 47, 68, 69] </State> <Try> 69 + 7 = 76 -> [7, 47, 68, 69] </Try> <Try> 69 - 7 = 62 -> [7, 47, 68, 69] </Try> <Try> 68 + 7 = 75 -> [7, 47, 68, 69] </Try> <Try> 69 - 47 = 22 -> [7, 22, 68] </Try> <State> [7, 22, 68] </State> <Try> 22 + 68 = 90 -> [7, 90] </Try> <State> [7, 90] </State> <Try> 90 + 7 = 97 -> [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 [4, 64, 29, 89], create an equation that equals 79. You can use basic arithmetic operatio...
<State> [4, 29, 64, 89] </State> <Try> 64 / 4 = 16 -> [4, 29, 64, 89] </Try> <Try> 89 - 64 = 25 -> [4, 29, 64, 89] </Try> <Try> 89 - 29 = 60 -> [4, 60, 64] </Try> <State> [4, 60, 64] </State> <Try> 60 / 4 = 15 -> [15, 64] </Try> <State> [15, 64] </State> <Try> 64 + 15 = 79 -> [79] </Try> <State> [79] </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 [9, 22, 3, 72], create an equation that equals 38. You can use basic arithmetic operation...
<State> [3, 9, 22, 72] </State> <Try> 72 / 3 = 24 -> [3, 9, 22, 72] </Try> <Try> 72 / 9 = 8 -> [3, 9, 22, 72] </Try> <Try> 22 + 3 = 25 -> [3, 9, 22, 72] </Try> <Try> 9 + 22 = 31 -> [3, 31, 72] </Try> <State> [3, 31, 72] </State> <Try> 72 - 3 = 69 -> [31, 69] </Try> <State> [31, 69] </State> <Try> 69 - 31 = 38 -> [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 [68, 2, 1], create an equation that equals 67. You can use basic arithmetic operations (+...
<State> [1, 2, 68] </State> <Try> 68 - 1 = 67 -> [1, 2, 68] </Try> <Try> 68 / 2 = 34 -> [1, 2, 68] </Try> <Try> 68 - 2 = 66 -> [1, 66] </Try> <State> [1, 66] </State> <Try> 66 + 1 = 67 -> [67] </Try> <State> [67] </State> <answer> ((68 - 2) + 1) = 67 </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, 32, 47, 19], create an equation that equals 51. You can use basic arithmetic operati...
<State> [19, 32, 44, 47] </State> <Try> 47 + 44 = 91 -> [19, 32, 44, 47] </Try> <Try> 47 - 44 = 3 -> [19, 32, 44, 47] </Try> <Try> 44 - 32 = 12 -> [19, 32, 44, 47] </Try> <Try> 44 + 32 = 76 -> [19, 47, 76] </Try> <State> [19, 47, 76] </State> <Try> 76 / 19 = 4 -> [4, 47] </Try> <State> [4, 47] </State> <Try> 47 + 4 = 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, 81, 55, 52], create an equation that equals 40. You can use basic arithmetic operati...
<State> [38, 52, 55, 81] </State> <Try> 52 - 38 = 14 -> [38, 52, 55, 81] </Try> <Try> 81 - 55 = 26 -> [26, 38, 52] </Try> <State> [26, 38, 52] </State> <Try> 52 / 26 = 2 -> [2, 38] </Try> <State> [2, 38] </State> <Try> 2 + 38 = 40 -> [40] </Try> <State> [40] </State> <answer> ((52 / (81 - 55)) + 38) = 40 </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 [58, 57, 50], create an equation that equals 65. You can use basic arithmetic operations ...
<State> [50, 57, 58] </State> <Try> 58 + 57 = 115 -> [50, 57, 58] </Try> <Try> 58 - 57 = 1 -> [50, 57, 58] </Try> <Try> 58 + 50 = 108 -> [50, 57, 58] </Try> <Try> 57 - 50 = 7 -> [7, 58] </Try> <State> [7, 58] </State> <Try> 7 + 58 = 65 -> [65] </Try> <State> [65] </State> <answer> ((57 - 50) + 58) = 65 </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, 89, 27, 50], create an equation that equals 69. You can use basic arithmetic operatio...
<State> [4, 27, 50, 89] </State> <Try> 27 - 4 = 23 -> [4, 27, 50, 89] </Try> <Try> 50 - 27 = 23 -> [4, 27, 50, 89] </Try> <Try> 89 - 27 = 62 -> [4, 27, 50, 89] </Try> <Try> 4 * 27 = 108 -> [50, 89, 108] </Try> <State> [50, 89, 108] </State> <Try> 89 - 50 = 39 -> [39, 108] </Try> <State> [39, 108] </State> <Try> 108 - 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 [72, 71, 81], create an equation that equals 82. You can use basic arithmetic operations ...
<State> [71, 72, 81] </State> <Try> 81 + 71 = 152 -> [71, 72, 81] </Try> <Try> 81 - 71 = 10 -> [71, 72, 81] </Try> <Try> 72 + 71 = 143 -> [71, 72, 81] </Try> <Try> 72 - 71 = 1 -> [1, 81] </Try> <State> [1, 81] </State> <Try> 81 + 1 = 82 -> [82] </Try> <State> [82] </State> <answer> (81 + (72 - 71)) = 82 </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 [36, 89, 32, 15], create an equation that equals 70. You can use basic arithmetic operati...
<State> [15, 32, 36, 89] </State> <Try> 89 - 32 = 57 -> [15, 32, 36, 89] </Try> <Try> 36 + 32 = 68 -> [15, 32, 36, 89] </Try> <Try> 89 - 15 = 74 -> [32, 36, 74] </Try> <State> [32, 36, 74] </State> <Try> 36 - 32 = 4 -> [4, 74] </Try> <State> [4, 74] </State> <Try> 74 - 4 = 70 -> [70] </Try> <State> [70] </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 [57, 13, 97, 6], create an equation that equals 94. You can use basic arithmetic operatio...
<State> [6, 13, 57, 97] </State> <Try> 97 - 57 = 40 -> [6, 13, 57, 97] </Try> <Try> 97 + 57 = 154 -> [6, 13, 57, 97] </Try> <Try> 97 - 6 = 91 -> [6, 13, 57, 97] </Try> <Try> 13 + 6 = 19 -> [19, 57, 97] </Try> <State> [19, 57, 97] </State> <Try> 57 / 19 = 3 -> [3, 97] </Try> <State> [3, 97] </State> <Try> 97 - 3 = 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 [61, 49, 62, 22], create an equation that equals 27. You can use basic arithmetic operati...
<State> [22, 49, 61, 62] </State> <Try> 62 - 49 = 13 -> [22, 49, 61, 62] </Try> <Try> 61 - 49 = 12 -> [22, 49, 61, 62] </Try> <Try> 62 - 22 = 40 -> [22, 49, 61, 62] </Try> <Try> 49 - 22 = 27 -> [27, 61, 62] </Try> <State> [27, 61, 62] </State> <Try> 62 - 61 = 1 -> [1, 27] </Try> <State> [1, 27] </State> <Try> 27 * 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 [44, 11, 48, 9], create an equation that equals 12. You can use basic arithmetic operatio...
<State> [9, 11, 44, 48] </State> <Try> 48 - 9 = 39 -> [9, 11, 44, 48] </Try> <Try> 44 / 11 = 4 -> [4, 9, 48] </Try> <State> [4, 9, 48] </State> <Try> 9 * 4 = 36 -> [36, 48] </Try> <State> [36, 48] </State> <Try> 48 - 36 = 12 -> [12] </Try> <State> [12] </State> <answer> (48 - (9 * (44 / 11))) = 12 </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, 6, 35, 96], create an equation that equals 32. You can use basic arithmetic operatio...
<State> [6, 35, 44, 96] </State> <Try> 44 - 35 = 9 -> [6, 35, 44, 96] </Try> <Try> 96 - 44 = 52 -> [6, 35, 44, 96] </Try> <Try> 44 * 6 = 264 -> [6, 35, 44, 96] </Try> <Try> 44 - 6 = 38 -> [35, 38, 96] </Try> <State> [35, 38, 96] </State> <Try> 38 - 35 = 3 -> [3, 96] </Try> <State> [3, 96] </State> <Try> 96 / 3 = 32 -> ...