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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 [40, 2, 5, 90], create an equation that equals 52. You can use basic arithmetic operation...
<State> [2, 5, 40, 90] </State> <Try> 90 / 2 = 45 -> [2, 5, 40, 90] </Try> <Try> 40 + 5 = 45 -> [2, 5, 40, 90] </Try> <Try> 40 * 2 = 80 -> [2, 5, 40, 90] </Try> <Try> 40 + 90 = 130 -> [2, 5, 130] </Try> <State> [2, 5, 130] </State> <Try> 2 * 130 = 260 -> [5, 260] </Try> <State> [5, 260] </State> <Try> 260 / 5 = 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 [6, 56, 56, 86], create an equation that equals 91. You can use basic arithmetic operatio...
<State> [6, 56, 56, 86] </State> <Try> 56 + 56 = 112 -> [6, 56, 56, 86] </Try> <Try> 56 - 56 = 0 -> [6, 56, 56, 86] </Try> <Try> 56 * 56 = 3136 -> [6, 56, 56, 86] </Try> <Try> 56 / 56 = 1 -> [1, 6, 86] </Try> <State> [1, 6, 86] </State> <Try> 6 - 1 = 5 -> [5, 86] </Try> <State> [5, 86] </State> <Try> 86 + 5 = 91 -> [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 [71, 26, 38], create an equation that equals 59. You can use basic arithmetic operations ...
<State> [26, 38, 71] </State> <Try> 71 - 26 = 45 -> [26, 38, 71] </Try> <Try> 26 + 38 = 64 -> [26, 38, 71] </Try> <Try> 26 * 38 = 988 -> [26, 38, 71] </Try> <Try> 71 - 38 = 33 -> [26, 33] </Try> <State> [26, 33] </State> <Try> 33 + 26 = 59 -> [59] </Try> <State> [59] </State> <answer> ((71 - 38) + 26) = 59 </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, 10, 47, 4], create an equation that equals 80. You can use basic arithmetic operatio...
<State> [4, 10, 47, 79] </State> <Try> 10 * 4 = 40 -> [4, 10, 47, 79] </Try> <Try> 79 - 47 = 32 -> [4, 10, 32] </Try> <State> [4, 10, 32] </State> <Try> 10 * 32 = 320 -> [4, 320] </Try> <State> [4, 320] </State> <Try> 320 / 4 = 80 -> [80] </Try> <State> [80] </State> <answer> ((10 * (79 - 47)) / 4) = 80 </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 [55, 24, 47, 59], create an equation that equals 57. You can use basic arithmetic operati...
<State> [24, 47, 55, 59] </State> <Try> 59 - 55 = 4 -> [24, 47, 55, 59] </Try> <Try> 55 + 24 = 79 -> [24, 47, 55, 59] </Try> <Try> 47 + 24 = 71 -> [24, 47, 55, 59] </Try> <Try> 59 - 47 = 12 -> [12, 24, 55] </Try> <State> [12, 24, 55] </State> <Try> 24 / 12 = 2 -> [2, 55] </Try> <State> [2, 55] </State> <Try> 55 + 2 = 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 [49, 3, 89, 77], create an equation that equals 19. You can use basic arithmetic operatio...
<State> [3, 49, 77, 89] </State> <Try> 89 - 77 = 12 -> [3, 49, 77, 89] </Try> <Try> 77 - 49 = 28 -> [3, 49, 77, 89] </Try> <Try> 49 * 3 = 147 -> [77, 89, 147] </Try> <State> [77, 89, 147] </State> <Try> 89 + 77 = 166 -> [147, 166] </Try> <State> [147, 166] </State> <Try> 166 - 147 = 19 -> [19] </Try> <State> [19] </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 [54, 10, 50], create an equation that equals 40. You can use basic arithmetic operations ...
<State> [10, 50, 54] </State> <Try> 54 - 50 = 4 -> [4, 10] </Try> <State> [4, 10] </State> <Try> 4 * 10 = 40 -> [40] </Try> <State> [40] </State> <answer> ((54 - 50) * 10) = 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 [8, 12, 15, 74], create an equation that equals 79. You can use basic arithmetic operatio...
<State> [8, 12, 15, 74] </State> <Try> 15 - 8 = 7 -> [8, 12, 15, 74] </Try> <Try> 12 - 8 = 4 -> [8, 12, 15, 74] </Try> <Try> 15 - 12 = 3 -> [3, 8, 74] </Try> <State> [3, 8, 74] </State> <Try> 8 - 3 = 5 -> [5, 74] </Try> <State> [5, 74] </State> <Try> 74 + 5 = 79 -> [79] </Try> <State> [79] </State> <answer> (74 + (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 [72, 92, 42, 90], create an equation that equals 57. You can use basic arithmetic operati...
<State> [42, 72, 90, 92] </State> <Try> 92 - 42 = 50 -> [42, 72, 90, 92] </Try> <Try> 90 - 72 = 18 -> [42, 72, 90, 92] </Try> <Try> 90 * 72 = 6480 -> [42, 72, 90, 92] </Try> <Try> 72 + 42 = 114 -> [90, 92, 114] </Try> <State> [90, 92, 114] </State> <Try> 92 - 90 = 2 -> [2, 114] </Try> <State> [2, 114] </State> <Try> 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 [69, 11, 28, 99], create an equation that equals 47. You can use basic arithmetic operati...
<State> [11, 28, 69, 99] </State> <Try> 69 - 28 = 41 -> [11, 28, 69, 99] </Try> <Try> 99 / 11 = 9 -> [11, 28, 69, 99] </Try> <Try> 99 - 69 = 30 -> [11, 28, 69, 99] </Try> <Try> 69 + 11 = 80 -> [28, 80, 99] </Try> <State> [28, 80, 99] </State> <Try> 28 + 99 = 127 -> [80, 127] </Try> <State> [80, 127] </State> <Try> 127 ...
A conversation between User and Assistant. The user asks a question, and 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, 41, 15, 44], create an equation that equals 19. You can use basic arithmetic operati...
<State> [11, 15, 41, 44] </State> <Try> 11 + 15 = 26 -> [11, 15, 41, 44] </Try> <Try> 11 * 15 = 165 -> [11, 15, 41, 44] </Try> <Try> 44 - 41 = 3 -> [11, 15, 41, 44] </Try> <Try> 44 / 11 = 4 -> [4, 15, 41] </Try> <State> [4, 15, 41] </State> <Try> 15 * 4 = 60 -> [41, 60] </Try> <State> [41, 60] </State> <Try> 60 - 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 [17, 60, 77, 71], create an equation that equals 37. You can use basic arithmetic operati...
<State> [17, 60, 71, 77] </State> <Try> 77 - 60 = 17 -> [17, 60, 71, 77] </Try> <Try> 71 - 17 = 54 -> [17, 60, 71, 77] </Try> <Try> 60 - 17 = 43 -> [43, 71, 77] </Try> <State> [43, 71, 77] </State> <Try> 77 - 71 = 6 -> [6, 43] </Try> <State> [6, 43] </State> <Try> 43 - 6 = 37 -> [37] </Try> <State> [37] </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 [91, 96, 76, 87], create an equation that equals 16. You can use basic arithmetic operati...
<State> [76, 87, 91, 96] </State> <Try> 91 - 87 = 4 -> [76, 87, 91, 96] </Try> <Try> 96 - 76 = 20 -> [76, 87, 91, 96] </Try> <Try> 96 - 91 = 5 -> [5, 76, 87] </Try> <State> [5, 76, 87] </State> <Try> 87 - 76 = 11 -> [5, 11] </Try> <State> [5, 11] </State> <Try> 5 + 11 = 16 -> [16] </Try> <State> [16] </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 [74, 2, 83, 3], create an equation that equals 56. You can use basic arithmetic operation...
<State> [2, 3, 74, 83] </State> <Try> 74 / 2 = 37 -> [2, 3, 74, 83] </Try> <Try> 83 - 74 = 9 -> [2, 3, 74, 83] </Try> <Try> 74 * 3 = 222 -> [2, 83, 222] </Try> <State> [2, 83, 222] </State> <Try> 2 * 83 = 166 -> [166, 222] </Try> <State> [166, 222] </State> <Try> 222 - 166 = 56 -> [56] </Try> <State> [56] </State> <ans...
A conversation between User and Assistant. The user asks a question, and 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, 33, 24], create an equation that equals 60. You can use basic arithmetic operations ...
<State> [24, 33, 69] </State> <Try> 33 * 24 = 792 -> [24, 33, 69] </Try> <Try> 69 - 24 = 45 -> [24, 33, 69] </Try> <Try> 69 - 33 = 36 -> [24, 36] </Try> <State> [24, 36] </State> <Try> 36 + 24 = 60 -> [60] </Try> <State> [60] </State> <answer> ((69 - 33) + 24) = 60 </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 [5, 74, 6, 83], create an equation that equals 84. You can use basic arithmetic operation...
<State> [5, 6, 74, 83] </State> <Try> 6 - 5 = 1 -> [5, 6, 74, 83] </Try> <Try> 74 + 6 = 80 -> [5, 6, 74, 83] </Try> <Try> 74 - 5 = 69 -> [5, 6, 74, 83] </Try> <Try> 83 + 5 = 88 -> [6, 74, 88] </Try> <State> [6, 74, 88] </State> <Try> 88 - 74 = 14 -> [6, 14] </Try> <State> [6, 14] </State> <Try> 14 * 6 = 84 -> [84] </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, 54, 86], create an equation that equals 63. You can use basic arithmetic operations ...
<State> [31, 54, 86] </State> <Try> 86 - 54 = 32 -> [31, 54, 86] </Try> <Try> 86 - 31 = 55 -> [31, 54, 86] </Try> <Try> 54 - 31 = 23 -> [23, 86] </Try> <State> [23, 86] </State> <Try> 86 - 23 = 63 -> [63] </Try> <State> [63] </State> <answer> (86 - (54 - 31)) = 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 [65, 56, 28, 69], create an equation that equals 32. You can use basic arithmetic operati...
<State> [28, 56, 65, 69] </State> <Try> 56 / 28 = 2 -> [28, 56, 65, 69] </Try> <Try> 69 - 65 = 4 -> [28, 56, 65, 69] </Try> <Try> 69 - 56 = 13 -> [28, 56, 65, 69] </Try> <Try> 65 - 56 = 9 -> [9, 28, 69] </Try> <State> [9, 28, 69] </State> <Try> 69 - 28 = 41 -> [9, 41] </Try> <State> [9, 41] </State> <Try> 41 - 9 = 32 -...
A conversation between User and Assistant. The user asks a question, and 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, 73, 96, 60], create an equation that equals 57. You can use basic arithmetic operati...
<State> [41, 60, 73, 96] </State> <Try> 96 - 60 = 36 -> [41, 60, 73, 96] </Try> <Try> 96 - 73 = 23 -> [41, 60, 73, 96] </Try> <Try> 60 - 41 = 19 -> [41, 60, 73, 96] </Try> <Try> 73 - 41 = 32 -> [32, 60, 96] </Try> <State> [32, 60, 96] </State> <Try> 96 / 32 = 3 -> [3, 60] </Try> <State> [3, 60] </State> <Try> 60 - 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 [9, 71, 49, 78], create an equation that equals 98. You can use basic arithmetic operatio...
<State> [9, 49, 71, 78] </State> <Try> 78 + 9 = 87 -> [9, 49, 71, 78] </Try> <Try> 71 + 49 = 120 -> [9, 49, 71, 78] </Try> <Try> 78 - 71 = 7 -> [9, 49, 71, 78] </Try> <Try> 9 + 71 = 80 -> [49, 78, 80] </Try> <State> [49, 78, 80] </State> <Try> 80 - 78 = 2 -> [2, 49] </Try> <State> [2, 49] </State> <Try> 49 * 2 = 98 -> ...
A conversation between User and Assistant. The user asks a question, and 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, 70, 36, 9], create an equation that equals 29. You can use basic arithmetic operatio...
<State> [9, 36, 70, 95] </State> <Try> 95 - 70 = 25 -> [9, 25, 36] </Try> <State> [9, 25, 36] </State> <Try> 36 / 9 = 4 -> [4, 25] </Try> <State> [4, 25] </State> <Try> 25 + 4 = 29 -> [29] </Try> <State> [29] </State> <answer> ((95 - 70) + (36 / 9)) = 29 </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, 59, 25, 17], create an equation that equals 89. You can use basic arithmetic operati...
<State> [17, 22, 25, 59] </State> <Try> 22 + 17 = 39 -> [17, 22, 25, 59] </Try> <Try> 25 + 17 = 42 -> [17, 22, 25, 59] </Try> <Try> 22 + 25 = 47 -> [17, 22, 25, 59] </Try> <Try> 22 + 59 = 81 -> [17, 25, 81] </Try> <State> [17, 25, 81] </State> <Try> 25 - 17 = 8 -> [8, 81] </Try> <State> [8, 81] </State> <Try> 81 + 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 [49, 34, 29, 26], create an equation that equals 31. You can use basic arithmetic operati...
<State> [26, 29, 34, 49] </State> <Try> 34 - 29 = 5 -> [26, 29, 34, 49] </Try> <Try> 49 - 26 = 23 -> [26, 29, 34, 49] </Try> <Try> 49 + 29 = 78 -> [26, 34, 78] </Try> <State> [26, 34, 78] </State> <Try> 78 / 26 = 3 -> [3, 34] </Try> <State> [3, 34] </State> <Try> 34 - 3 = 31 -> [31] </Try> <State> [31] </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 [65, 49, 9, 56], create an equation that equals 81. You can use basic arithmetic operatio...
<State> [9, 49, 56, 65] </State> <Try> 9 * 9 = 81 -> [9, 49, 56, 65] </Try> <Try> 65 - 56 = 9 -> [9, 49, 56, 65] </Try> <Try> 65 - 49 = 16 -> [9, 16, 56] </Try> <State> [9, 16, 56] </State> <Try> 9 + 56 = 65 -> [16, 65] </Try> <State> [16, 65] </State> <Try> 16 + 65 = 81 -> [81] </Try> <State> [81] </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 [17, 11, 23, 44], create an equation that equals 36. You can use basic arithmetic operati...
<State> [11, 17, 23, 44] </State> <Try> 44 - 17 = 27 -> [11, 17, 23, 44] </Try> <Try> 23 + 11 = 34 -> [11, 17, 23, 44] </Try> <Try> 23 - 17 = 6 -> [11, 17, 23, 44] </Try> <Try> 17 + 23 = 40 -> [11, 40, 44] </Try> <State> [11, 40, 44] </State> <Try> 44 / 11 = 4 -> [4, 40] </Try> <State> [4, 40] </State> <Try> 40 - 4 = 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 [31, 2, 59, 36], create an equation that equals 46. You can use basic arithmetic operatio...
<State> [2, 31, 36, 59] </State> <Try> 59 + 31 = 90 -> [2, 31, 36, 59] </Try> <Try> 59 - 36 = 23 -> [2, 31, 36, 59] </Try> <Try> 31 + 2 = 33 -> [2, 31, 36, 59] </Try> <Try> 59 - 31 = 28 -> [2, 28, 36] </Try> <State> [2, 28, 36] </State> <Try> 36 / 2 = 18 -> [18, 28] </Try> <State> [18, 28] </State> <Try> 28 + 18 = 46 -...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [26, 32, 21, 54], create an equation that equals 27. You can use basic arithmetic operati...
<State> [21, 26, 32, 54] </State> <Try> 32 - 26 = 6 -> [6, 21, 54] </Try> <State> [6, 21, 54] </State> <Try> 54 - 21 = 33 -> [6, 33] </Try> <State> [6, 33] </State> <Try> 33 - 6 = 27 -> [27] </Try> <State> [27] </State> <answer> ((54 - 21) - (32 - 26)) = 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, 94, 16, 64], create an equation that equals 24. You can use basic arithmetic operati...
<State> [16, 64, 88, 94] </State> <Try> 94 - 88 = 6 -> [6, 16, 64] </Try> <State> [6, 16, 64] </State> <Try> 64 / 16 = 4 -> [4, 6] </Try> <State> [4, 6] </State> <Try> 6 * 4 = 24 -> [24] </Try> <State> [24] </State> <answer> ((94 - 88) * (64 / 16)) = 24 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [22, 19, 16, 11], create an equation that equals 77. You can use basic arithmetic operati...
<State> [11, 16, 19, 22] </State> <Try> 22 + 19 = 41 -> [11, 16, 19, 22] </Try> <Try> 22 * 19 = 418 -> [11, 16, 19, 22] </Try> <Try> 16 * 11 = 176 -> [11, 16, 19, 22] </Try> <Try> 19 - 16 = 3 -> [3, 11, 22] </Try> <State> [3, 11, 22] </State> <Try> 22 * 3 = 66 -> [11, 66] </Try> <State> [11, 66] </State> <Try> 11 + 66 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [64, 7, 15, 64], create an equation that equals 57. You can use basic arithmetic operatio...
<State> [7, 15, 64, 64] </State> <Try> 15 * 7 = 105 -> [7, 15, 64, 64] </Try> <Try> 64 - 64 = 0 -> [7, 15, 64, 64] </Try> <Try> 15 - 7 = 8 -> [7, 15, 64, 64] </Try> <Try> 64 - 15 = 49 -> [7, 49, 64] </Try> <State> [7, 49, 64] </State> <Try> 49 / 7 = 7 -> [7, 64] </Try> <State> [7, 64] </State> <Try> 64 - 7 = 57 -> [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 [6, 5, 4, 20], create an equation that equals 34. You can use basic arithmetic operations...
<State> [4, 5, 6, 20] </State> <Try> 20 + 6 = 26 -> [4, 5, 6, 20] </Try> <Try> 6 * 5 = 30 -> [4, 5, 6, 20] </Try> <Try> 20 + 5 = 25 -> [4, 5, 6, 20] </Try> <Try> 5 * 4 = 20 -> [6, 20, 20] </Try> <State> [6, 20, 20] </State> <Try> 20 + 20 = 40 -> [6, 40] </Try> <State> [6, 40] </State> <Try> 40 - 6 = 34 -> [34] </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 [46, 85, 88, 28], create an equation that equals 71. You can use basic arithmetic operati...
<State> [28, 46, 85, 88] </State> <Try> 46 - 28 = 18 -> [28, 46, 85, 88] </Try> <Try> 46 + 28 = 74 -> [74, 85, 88] </Try> <State> [74, 85, 88] </State> <Try> 88 - 85 = 3 -> [3, 74] </Try> <State> [3, 74] </State> <Try> 74 - 3 = 71 -> [71] </Try> <State> [71] </State> <answer> ((46 + 28) - (88 - 85)) = 71 </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, 30, 90, 79], create an equation that equals 40. You can use basic arithmetic operati...
<State> [30, 57, 79, 90] </State> <Try> 90 / 30 = 3 -> [30, 57, 79, 90] </Try> <Try> 79 - 57 = 22 -> [30, 57, 79, 90] </Try> <Try> 90 - 79 = 11 -> [30, 57, 79, 90] </Try> <Try> 30 * 79 = 2370 -> [57, 90, 2370] </Try> <State> [57, 90, 2370] </State> <Try> 2370 - 90 = 2280 -> [57, 2280] </Try> <State> [57, 2280] </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 [27, 28, 89], create an equation that equals 34. You can use basic arithmetic operations ...
<State> [27, 28, 89] </State> <Try> 89 - 27 = 62 -> [27, 28, 89] </Try> <Try> 89 - 28 = 61 -> [27, 61] </Try> <State> [27, 61] </State> <Try> 61 - 27 = 34 -> [34] </Try> <State> [34] </State> <answer> ((89 - 28) - 27) = 34 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [83, 15, 69], create an equation that equals 29. You can use basic arithmetic operations ...
<State> [15, 69, 83] </State> <Try> 83 - 69 = 14 -> [14, 15] </Try> <State> [14, 15] </State> <Try> 14 + 15 = 29 -> [29] </Try> <State> [29] </State> <answer> ((83 - 69) + 15) = 29 </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 [30, 72, 40, 99], create an equation that equals 17. You can use basic arithmetic operati...
<State> [30, 40, 72, 99] </State> <Try> 99 - 72 = 27 -> [27, 30, 40] </Try> <State> [27, 30, 40] </State> <Try> 27 - 40 = -13 -> [-13, 30] </Try> <State> [-13, 30] </State> <Try> -13 + 30 = 17 -> [17] </Try> <State> [17] </State> <answer> (((99 - 72) - 40) + 30) = 17 </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, 20, 2, 85], create an equation that equals 25. You can use basic arithmetic operatio...
<State> [2, 20, 42, 85] </State> <Try> 42 / 2 = 21 -> [2, 20, 42, 85] </Try> <Try> 20 + 2 = 22 -> [2, 20, 42, 85] </Try> <Try> 85 - 42 = 43 -> [2, 20, 43] </Try> <State> [2, 20, 43] </State> <Try> 43 - 20 = 23 -> [2, 23] </Try> <State> [2, 23] </State> <Try> 23 + 2 = 25 -> [25] </Try> <State> [25] </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 [85, 9, 48, 12], create an equation that equals 19. You can use basic arithmetic operatio...
<State> [9, 12, 48, 85] </State> <Try> 85 - 48 = 37 -> [9, 12, 48, 85] </Try> <Try> 85 - 9 = 76 -> [12, 48, 76] </Try> <State> [12, 48, 76] </State> <Try> 48 / 12 = 4 -> [4, 76] </Try> <State> [4, 76] </State> <Try> 76 / 4 = 19 -> [19] </Try> <State> [19] </State> <answer> ((85 - 9) / (48 / 12)) = 19 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [8, 62, 1, 18], create an equation that equals 64. You can use basic arithmetic operation...
<State> [1, 8, 18, 62] </State> <Try> 8 * 1 = 8 -> [1, 8, 18, 62] </Try> <Try> 8 * 18 = 144 -> [1, 8, 18, 62] </Try> <Try> 8 - 1 = 7 -> [1, 8, 18, 62] </Try> <Try> 8 + 1 = 9 -> [9, 18, 62] </Try> <State> [9, 18, 62] </State> <Try> 18 / 9 = 2 -> [2, 62] </Try> <State> [2, 62] </State> <Try> 62 + 2 = 64 -> [64] </Try> <S...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [87, 98, 4, 59], create an equation that equals 12. You can use basic arithmetic operatio...
<State> [4, 59, 87, 98] </State> <Try> 87 - 59 = 28 -> [4, 59, 87, 98] </Try> <Try> 98 - 87 = 11 -> [4, 11, 59] </Try> <State> [4, 11, 59] </State> <Try> 59 - 11 = 48 -> [4, 48] </Try> <State> [4, 48] </State> <Try> 48 / 4 = 12 -> [12] </Try> <State> [12] </State> <answer> ((59 - (98 - 87)) / 4) = 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 [60, 53, 87, 27], create an equation that equals 53. You can use basic arithmetic operati...
<State> [27, 53, 60, 87] </State> <Try> 87 - 27 = 60 -> [53, 60, 60] </Try> <State> [53, 60, 60] </State> <Try> 60 / 60 = 1 -> [1, 53] </Try> <State> [1, 53] </State> <Try> 1 * 53 = 53 -> [53] </Try> <State> [53] </State> <answer> (((87 - 27) / (87 - 27)) * 53) = 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 [73, 7, 4, 19], create an equation that equals 64. You can use basic arithmetic operation...
<State> [4, 7, 19, 73] </State> <Try> 73 - 19 = 54 -> [4, 7, 19, 73] </Try> <Try> 73 - 7 = 66 -> [4, 7, 19, 73] </Try> <Try> 7 - 4 = 3 -> [4, 7, 19, 73] </Try> <Try> 73 - 4 = 69 -> [7, 19, 69] </Try> <State> [7, 19, 69] </State> <Try> 7 * 19 = 133 -> [69, 133] </Try> <State> [69, 133] </State> <Try> 133 - 69 = 64 -> [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 [55, 59, 47, 2], create an equation that equals 55. You can use basic arithmetic operatio...
<State> [2, 47, 55, 59] </State> <Try> 59 - 47 = 12 -> [2, 47, 55, 59] </Try> <Try> 47 * 2 = 94 -> [2, 47, 55, 59] </Try> <Try> 59 - 55 = 4 -> [2, 4, 47] </Try> <State> [2, 4, 47] </State> <Try> 2 * 4 = 8 -> [8, 47] </Try> <State> [8, 47] </State> <Try> 47 + 8 = 55 -> [55] </Try> <State> [55] </State> <answer> (47 + (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 [99, 3, 12, 59], create an equation that equals 66. You can use basic arithmetic operatio...
<State> [3, 12, 59, 99] </State> <Try> 99 / 3 = 33 -> [3, 12, 59, 99] </Try> <Try> 59 - 12 = 47 -> [3, 12, 59, 99] </Try> <Try> 12 * 3 = 36 -> [3, 12, 59, 99] </Try> <Try> 99 + 12 = 111 -> [3, 59, 111] </Try> <State> [3, 59, 111] </State> <Try> 3 * 59 = 177 -> [111, 177] </Try> <State> [111, 177] </State> <Try> 177 - 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 [34, 85, 70, 60], create an equation that equals 30. You can use basic arithmetic operati...
<State> [34, 60, 70, 85] </State> <Try> 85 - 34 = 51 -> [34, 60, 70, 85] </Try> <Try> 70 - 60 = 10 -> [34, 60, 70, 85] </Try> <Try> 60 - 34 = 26 -> [34, 60, 70, 85] </Try> <Try> 85 - 70 = 15 -> [15, 34, 60] </Try> <State> [15, 34, 60] </State> <Try> 60 / 15 = 4 -> [4, 34] </Try> <State> [4, 34] </State> <Try> 34 - 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 [13, 17, 11, 12], create an equation that equals 23. You can use basic arithmetic operati...
<State> [11, 12, 13, 17] </State> <Try> 13 + 17 = 30 -> [11, 12, 13, 17] </Try> <Try> 17 - 13 = 4 -> [11, 12, 13, 17] </Try> <Try> 12 - 11 = 1 -> [11, 12, 13, 17] </Try> <Try> 13 - 11 = 2 -> [2, 12, 17] </Try> <State> [2, 12, 17] </State> <Try> 12 / 2 = 6 -> [6, 17] </Try> <State> [6, 17] </State> <Try> 17 + 6 = 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 [10, 59, 7, 63], create an equation that equals 16. You can use basic arithmetic operatio...
<State> [7, 10, 59, 63] </State> <Try> 63 / 7 = 9 -> [7, 10, 59, 63] </Try> <Try> 63 - 59 = 4 -> [7, 10, 59, 63] </Try> <Try> 7 * 10 = 70 -> [7, 10, 59, 63] </Try> <Try> 59 - 10 = 49 -> [7, 49, 63] </Try> <State> [7, 49, 63] </State> <Try> 63 + 49 = 112 -> [7, 112] </Try> <State> [7, 112] </State> <Try> 112 / 7 = 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 [24, 21, 3, 47], create an equation that equals 47. You can use basic arithmetic operatio...
<State> [3, 21, 24, 47] </State> <Try> 24 + 21 = 45 -> [3, 21, 24, 47] </Try> <Try> 24 * 3 = 72 -> [3, 21, 24, 47] </Try> <Try> 21 * 3 = 63 -> [3, 21, 24, 47] </Try> <Try> 24 - 21 = 3 -> [3, 3, 47] </Try> <State> [3, 3, 47] </State> <Try> 3 - 3 = 0 -> [0, 47] </Try> <State> [0, 47] </State> <Try> 47 + 0 = 47 -> [47] </...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [2, 35, 60, 3], create an equation that equals 47. You can use basic arithmetic operation...
<State> [2, 3, 35, 60] </State> <Try> 60 / 2 = 30 -> [2, 3, 35, 60] </Try> <Try> 60 / 3 = 20 -> [2, 3, 35, 60] </Try> <Try> 35 + 3 = 38 -> [2, 3, 35, 60] </Try> <Try> 60 - 2 = 58 -> [3, 35, 58] </Try> <State> [3, 35, 58] </State> <Try> 35 * 3 = 105 -> [58, 105] </Try> <State> [58, 105] </State> <Try> 105 - 58 = 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 [21, 9, 83, 11], create an equation that equals 31. You can use basic arithmetic operatio...
<State> [9, 11, 21, 83] </State> <Try> 21 + 9 = 30 -> [9, 11, 21, 83] </Try> <Try> 21 - 9 = 12 -> [9, 11, 21, 83] </Try> <Try> 9 * 11 = 99 -> [9, 11, 21, 83] </Try> <Try> 83 - 21 = 62 -> [9, 11, 62] </Try> <State> [9, 11, 62] </State> <Try> 11 - 9 = 2 -> [2, 62] </Try> <State> [2, 62] </State> <Try> 62 / 2 = 31 -> [31]...
A conversation between User and Assistant. The user asks a question, and 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, 1, 6, 50], create an equation that equals 32. You can use basic arithmetic operation...
<State> [1, 6, 50, 87] </State> <Try> 6 * 1 = 6 -> [1, 6, 50, 87] </Try> <Try> 50 - 6 = 44 -> [1, 6, 50, 87] </Try> <Try> 87 - 50 = 37 -> [1, 6, 37] </Try> <State> [1, 6, 37] </State> <Try> 37 - 6 = 31 -> [1, 31] </Try> <State> [1, 31] </State> <Try> 31 + 1 = 32 -> [32] </Try> <State> [32] </State> <answer> (((87 - 50)...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [92, 56, 19, 23], create an equation that equals 32. You can use basic arithmetic operati...
<State> [19, 23, 56, 92] </State> <Try> 92 - 56 = 36 -> [19, 23, 56, 92] </Try> <Try> 92 / 23 = 4 -> [19, 23, 56, 92] </Try> <Try> 92 - 23 = 69 -> [19, 56, 69] </Try> <State> [19, 56, 69] </State> <Try> 56 - 19 = 37 -> [37, 69] </Try> <State> [37, 69] </State> <Try> 69 - 37 = 32 -> [32] </Try> <State> [32] </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 [70, 44, 25, 70], create an equation that equals 19. You can use basic arithmetic operati...
<State> [25, 44, 70, 70] </State> <Try> 70 - 44 = 26 -> [25, 44, 70, 70] </Try> <Try> 70 - 70 = 0 -> [0, 25, 44] </Try> <State> [0, 25, 44] </State> <Try> 44 - 25 = 19 -> [0, 19] </Try> <State> [0, 19] </State> <Try> 0 + 19 = 19 -> [19] </Try> <State> [19] </State> <answer> ((70 - 70) + (44 - 25)) = 19 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [27, 28, 62, 53], create an equation that equals 60. You can use basic arithmetic operati...
<State> [27, 28, 53, 62] </State> <Try> 28 - 27 = 1 -> [27, 28, 53, 62] </Try> <Try> 53 + 27 = 80 -> [27, 28, 53, 62] </Try> <Try> 62 - 28 = 34 -> [27, 28, 53, 62] </Try> <Try> 27 + 28 = 55 -> [53, 55, 62] </Try> <State> [53, 55, 62] </State> <Try> 62 + 53 = 115 -> [55, 115] </Try> <State> [55, 115] </State> <Try> 115 ...
A conversation between User and Assistant. The user asks a question, and 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, 1, 10, 25], create an equation that equals 20. You can use basic arithmetic operatio...
<State> [1, 10, 14, 25] </State> <Try> 14 + 10 = 24 -> [1, 10, 14, 25] </Try> <Try> 14 - 10 = 4 -> [1, 10, 14, 25] </Try> <Try> 25 - 10 = 15 -> [1, 10, 14, 25] </Try> <Try> 25 - 14 = 11 -> [1, 10, 11] </Try> <State> [1, 10, 11] </State> <Try> 11 + 10 = 21 -> [1, 21] </Try> <State> [1, 21] </State> <Try> 21 - 1 = 20 -> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [21, 26, 29, 92], create an equation that equals 29. You can use basic arithmetic operati...
<State> [21, 26, 29, 92] </State> <Try> 92 - 26 = 66 -> [21, 26, 29, 92] </Try> <Try> 92 - 21 = 71 -> [21, 26, 29, 92] </Try> <Try> 26 - 21 = 5 -> [21, 26, 29, 92] </Try> <Try> 29 - 26 = 3 -> [3, 21, 92] </Try> <State> [3, 21, 92] </State> <Try> 21 * 3 = 63 -> [63, 92] </Try> <State> [63, 92] </State> <Try> 92 - 63 = 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 [98, 95, 90], create an equation that equals 87. You can use basic arithmetic operations ...
<State> [90, 95, 98] </State> <Try> 98 - 95 = 3 -> [3, 90] </Try> <State> [3, 90] </State> <Try> 90 - 3 = 87 -> [87] </Try> <State> [87] </State> <answer> (90 - (98 - 95)) = 87 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [75, 78, 3, 57], create an equation that equals 12. You can use basic arithmetic operatio...
<State> [3, 57, 75, 78] </State> <Try> 78 / 3 = 26 -> [3, 57, 75, 78] </Try> <Try> 75 / 3 = 25 -> [3, 57, 75, 78] </Try> <Try> 57 / 3 = 19 -> [3, 57, 75, 78] </Try> <Try> 78 - 57 = 21 -> [3, 21, 75] </Try> <State> [3, 21, 75] </State> <Try> 3 * 21 = 63 -> [63, 75] </Try> <State> [63, 75] </State> <Try> 75 - 63 = 12 -> ...
A conversation between User and Assistant. The user asks a question, and 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, 85, 82, 66], create an equation that equals 44. You can use basic arithmetic operati...
<State> [22, 66, 82, 85] </State> <Try> 82 - 66 = 16 -> [22, 66, 82, 85] </Try> <Try> 85 - 66 = 19 -> [22, 66, 82, 85] </Try> <Try> 66 - 22 = 44 -> [22, 66, 82, 85] </Try> <Try> 85 - 82 = 3 -> [3, 22, 66] </Try> <State> [3, 22, 66] </State> <Try> 66 / 3 = 22 -> [22, 22] </Try> <State> [22, 22] </State> <Try> 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 [42, 22, 16, 5], create an equation that equals 60. You can use basic arithmetic operatio...
<State> [5, 16, 22, 42] </State> <Try> 42 + 22 = 64 -> [5, 16, 22, 42] </Try> <Try> 42 - 22 = 20 -> [5, 16, 22, 42] </Try> <Try> 42 * 5 = 210 -> [5, 16, 22, 42] </Try> <Try> 16 * 5 = 80 -> [22, 42, 80] </Try> <State> [22, 42, 80] </State> <Try> 80 - 42 = 38 -> [22, 38] </Try> <State> [22, 38] </State> <Try> 38 + 22 = 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 [70, 71, 31], create an equation that equals 30. You can use basic arithmetic operations ...
<State> [31, 70, 71] </State> <Try> 70 * 31 = 2170 -> [31, 70, 71] </Try> <Try> 71 * 31 = 2201 -> [31, 70, 71] </Try> <Try> 70 - 31 = 39 -> [31, 70, 71] </Try> <Try> 71 - 70 = 1 -> [1, 31] </Try> <State> [1, 31] </State> <Try> 31 - 1 = 30 -> [30] </Try> <State> [30] </State> <answer> (31 - (71 - 70)) = 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 [58, 48, 2, 7], create an equation that equals 89. You can use basic arithmetic operation...
<State> [2, 7, 48, 58] </State> <Try> 58 + 48 = 106 -> [2, 7, 48, 58] </Try> <Try> 58 - 48 = 10 -> [2, 7, 48, 58] </Try> <Try> 58 * 2 = 116 -> [2, 7, 48, 58] </Try> <Try> 58 + 7 = 65 -> [2, 48, 65] </Try> <State> [2, 48, 65] </State> <Try> 48 / 2 = 24 -> [24, 65] </Try> <State> [24, 65] </State> <Try> 65 + 24 = 89 -> [...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [2, 43, 31], create an equation that equals 10. You can use basic arithmetic operations (...
<State> [2, 31, 43] </State> <Try> 43 - 31 = 12 -> [2, 12] </Try> <State> [2, 12] </State> <Try> 12 - 2 = 10 -> [10] </Try> <State> [10] </State> <answer> ((43 - 31) - 2) = 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 [34, 64, 40, 62], create an equation that equals 37. You can use basic arithmetic operati...
<State> [34, 40, 62, 64] </State> <Try> 62 - 34 = 28 -> [34, 40, 62, 64] </Try> <Try> 62 - 40 = 22 -> [34, 40, 62, 64] </Try> <Try> 64 - 40 = 24 -> [34, 40, 62, 64] </Try> <Try> 34 + 40 = 74 -> [62, 64, 74] </Try> <State> [62, 64, 74] </State> <Try> 64 - 62 = 2 -> [2, 74] </Try> <State> [2, 74] </State> <Try> 74 / 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 [37, 43, 94, 45], create an equation that equals 59. You can use basic arithmetic operati...
<State> [37, 43, 45, 94] </State> <Try> 45 - 43 = 2 -> [37, 43, 45, 94] </Try> <Try> 45 + 43 = 88 -> [37, 43, 45, 94] </Try> <Try> 94 - 45 = 49 -> [37, 43, 45, 94] </Try> <Try> 94 - 43 = 51 -> [37, 45, 51] </Try> <State> [37, 45, 51] </State> <Try> 45 - 37 = 8 -> [8, 51] </Try> <State> [8, 51] </State> <Try> 51 + 8 = 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 [54, 11, 9, 89], create an equation that equals 37. You can use basic arithmetic operatio...
<State> [9, 11, 54, 89] </State> <Try> 54 / 9 = 6 -> [9, 11, 54, 89] </Try> <Try> 89 - 54 = 35 -> [9, 11, 35] </Try> <State> [9, 11, 35] </State> <Try> 11 - 9 = 2 -> [2, 35] </Try> <State> [2, 35] </State> <Try> 35 + 2 = 37 -> [37] </Try> <State> [37] </State> <answer> ((89 - 54) + (11 - 9)) = 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 [40, 29, 27, 51], create an equation that equals 35. You can use basic arithmetic operati...
<State> [27, 29, 40, 51] </State> <Try> 51 - 40 = 11 -> [27, 29, 40, 51] </Try> <Try> 27 + 29 = 56 -> [27, 29, 40, 51] </Try> <Try> 51 - 29 = 22 -> [27, 29, 40, 51] </Try> <Try> 40 - 29 = 11 -> [11, 27, 51] </Try> <State> [11, 27, 51] </State> <Try> 51 - 27 = 24 -> [11, 24] </Try> <State> [11, 24] </State> <Try> 11 + 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 [86, 79, 93, 59], create an equation that equals 27. You can use basic arithmetic operati...
<State> [59, 79, 86, 93] </State> <Try> 93 - 79 = 14 -> [59, 79, 86, 93] </Try> <Try> 86 - 59 = 27 -> [59, 79, 86, 93] </Try> <Try> 79 - 59 = 20 -> [20, 86, 93] </Try> <State> [20, 86, 93] </State> <Try> 93 - 86 = 7 -> [7, 20] </Try> <State> [7, 20] </State> <Try> 20 + 7 = 27 -> [27] </Try> <State> [27] </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 [93, 74, 81, 22], create an equation that equals 84. You can use basic arithmetic operati...
<State> [22, 74, 81, 93] </State> <Try> 93 - 22 = 71 -> [22, 74, 81, 93] </Try> <Try> 74 + 22 = 96 -> [81, 93, 96] </Try> <State> [81, 93, 96] </State> <Try> 93 - 81 = 12 -> [12, 96] </Try> <State> [12, 96] </State> <Try> 96 - 12 = 84 -> [84] </Try> <State> [84] </State> <answer> ((74 + 22) - (93 - 81)) = 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 [74, 8, 89], create an equation that equals 23. You can use basic arithmetic operations (...
<State> [8, 74, 89] </State> <Try> 89 - 74 = 15 -> [8, 15] </Try> <State> [8, 15] </State> <Try> 15 + 8 = 23 -> [23] </Try> <State> [23] </State> <answer> ((89 - 74) + 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 [6, 37, 42, 8], create an equation that equals 77. You can use basic arithmetic operation...
<State> [6, 8, 37, 42] </State> <Try> 42 - 37 = 5 -> [6, 8, 37, 42] </Try> <Try> 8 * 6 = 48 -> [6, 8, 37, 42] </Try> <Try> 42 + 37 = 79 -> [6, 8, 79] </Try> <State> [6, 8, 79] </State> <Try> 8 - 6 = 2 -> [2, 79] </Try> <State> [2, 79] </State> <Try> 79 - 2 = 77 -> [77] </Try> <State> [77] </State> <answer> ((42 + 37) -...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [33, 9, 91, 88], create an equation that equals 27. You can use basic arithmetic operatio...
<State> [9, 33, 88, 91] </State> <Try> 33 + 9 = 42 -> [9, 33, 88, 91] </Try> <Try> 33 - 9 = 24 -> [24, 88, 91] </Try> <State> [24, 88, 91] </State> <Try> 91 - 88 = 3 -> [3, 24] </Try> <State> [3, 24] </State> <Try> 24 + 3 = 27 -> [27] </Try> <State> [27] </State> <answer> ((33 - 9) + (91 - 88)) = 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 [6, 48, 16, 5], create an equation that equals 62. You can use basic arithmetic operation...
<State> [5, 6, 16, 48] </State> <Try> 48 + 16 = 64 -> [5, 6, 16, 48] </Try> <Try> 48 + 6 = 54 -> [5, 6, 16, 48] </Try> <Try> 48 + 5 = 53 -> [5, 6, 16, 48] </Try> <Try> 6 + 16 = 22 -> [5, 22, 48] </Try> <State> [5, 22, 48] </State> <Try> 5 * 22 = 110 -> [48, 110] </Try> <State> [48, 110] </State> <Try> 110 - 48 = 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 [16, 59, 35, 26], create an equation that equals 34. You can use basic arithmetic operati...
<State> [16, 26, 35, 59] </State> <Try> 26 + 16 = 42 -> [16, 26, 35, 59] </Try> <Try> 35 + 26 = 61 -> [16, 26, 35, 59] </Try> <Try> 59 - 35 = 24 -> [16, 26, 35, 59] </Try> <Try> 35 - 26 = 9 -> [9, 16, 59] </Try> <State> [9, 16, 59] </State> <Try> 9 + 16 = 25 -> [25, 59] </Try> <State> [25, 59] </State> <Try> 59 - 25 = ...
A conversation between User and Assistant. The user asks a question, and 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, 34, 9, 84], create an equation that equals 12. You can use basic arithmetic operation...
<State> [6, 9, 34, 84] </State> <Try> 34 - 9 = 25 -> [6, 9, 34, 84] </Try> <Try> 84 - 34 = 50 -> [6, 9, 34, 84] </Try> <Try> 34 - 6 = 28 -> [9, 28, 84] </Try> <State> [9, 28, 84] </State> <Try> 84 / 28 = 3 -> [3, 9] </Try> <State> [3, 9] </State> <Try> 9 + 3 = 12 -> [12] </Try> <State> [12] </State> <answer> (9 + (84 /...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [91, 35, 13, 73], create an equation that equals 31. You can use basic arithmetic operati...
<State> [13, 35, 73, 91] </State> <Try> 91 - 73 = 18 -> [13, 35, 73, 91] </Try> <Try> 35 + 13 = 48 -> [13, 35, 73, 91] </Try> <Try> 91 / 13 = 7 -> [7, 35, 73] </Try> <State> [7, 35, 73] </State> <Try> 73 - 35 = 38 -> [7, 38] </Try> <State> [7, 38] </State> <Try> 38 - 7 = 31 -> [31] </Try> <State> [31] </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 [28, 7, 61, 2], create an equation that equals 37. You can use basic arithmetic operation...
<State> [2, 7, 28, 61] </State> <Try> 61 - 28 = 33 -> [2, 7, 28, 61] </Try> <Try> 7 + 2 = 9 -> [2, 7, 28, 61] </Try> <Try> 28 + 7 = 35 -> [2, 7, 28, 61] </Try> <Try> 28 * 7 = 196 -> [2, 61, 196] </Try> <State> [2, 61, 196] </State> <Try> 196 / 2 = 98 -> [61, 98] </Try> <State> [61, 98] </State> <Try> 98 - 61 = 37 -> [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 [61, 10, 84, 50], create an equation that equals 29. You can use basic arithmetic operati...
<State> [10, 50, 61, 84] </State> <Try> 84 - 61 = 23 -> [10, 50, 61, 84] </Try> <Try> 61 - 50 = 11 -> [10, 50, 61, 84] </Try> <Try> 84 - 10 = 74 -> [10, 50, 61, 84] </Try> <Try> 61 + 84 = 145 -> [10, 50, 145] </Try> <State> [10, 50, 145] </State> <Try> 50 / 10 = 5 -> [5, 145] </Try> <State> [5, 145] </State> <Try> 145 ...
A conversation between User and Assistant. The user asks a question, and 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, 83, 81, 46], create an equation that equals 73. You can use basic arithmetic operati...
<State> [46, 54, 81, 83] </State> <Try> 54 - 46 = 8 -> [46, 54, 81, 83] </Try> <Try> 81 - 54 = 27 -> [46, 54, 81, 83] </Try> <Try> 83 - 46 = 37 -> [46, 54, 81, 83] </Try> <Try> 83 - 81 = 2 -> [2, 46, 54] </Try> <State> [2, 46, 54] </State> <Try> 54 / 2 = 27 -> [27, 46] </Try> <State> [27, 46] </State> <Try> 46 + 27 = 7...
A conversation between User and Assistant. The user asks a question, and 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, 87, 18, 35], create an equation that equals 50. You can use basic arithmetic operatio...
<State> [4, 18, 35, 87] </State> <Try> 87 - 35 = 52 -> [4, 18, 35, 87] </Try> <Try> 35 + 18 = 53 -> [4, 18, 35, 87] </Try> <Try> 35 * 4 = 140 -> [4, 18, 35, 87] </Try> <Try> 4 * 18 = 72 -> [35, 72, 87] </Try> <State> [35, 72, 87] </State> <Try> 87 + 35 = 122 -> [72, 122] </Try> <State> [72, 122] </State> <Try> 122 - 72...
A conversation between User and Assistant. The user asks a question, and 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, 75, 70, 45], create an equation that equals 54. You can use basic arithmetic operati...
<State> [45, 46, 70, 75] </State> <Try> 75 - 45 = 30 -> [30, 46, 70] </Try> <State> [30, 46, 70] </State> <Try> 70 - 46 = 24 -> [24, 30] </Try> <State> [24, 30] </State> <Try> 30 + 24 = 54 -> [54] </Try> <State> [54] </State> <answer> ((75 - 45) + (70 - 46)) = 54 </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, 22, 56, 70], create an equation that equals 24. You can use basic arithmetic operati...
<State> [12, 22, 56, 70] </State> <Try> 70 - 22 = 48 -> [12, 22, 56, 70] </Try> <Try> 56 - 22 = 34 -> [12, 22, 56, 70] </Try> <Try> 70 / 70 = 1 -> [12, 22, 56, 70] </Try> <Try> 22 - 12 = 10 -> [10, 56, 70] </Try> <State> [10, 56, 70] </State> <Try> 70 - 56 = 14 -> [10, 14] </Try> <State> [10, 14] </State> <Try> 10 + 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 [26, 51, 78, 94], create an equation that equals 61. You can use basic arithmetic operati...
<State> [26, 51, 78, 94] </State> <Try> 94 - 51 = 43 -> [26, 51, 78, 94] </Try> <Try> 78 - 51 = 27 -> [26, 51, 78, 94] </Try> <Try> 51 - 26 = 25 -> [26, 51, 78, 94] </Try> <Try> 51 + 26 = 77 -> [77, 78, 94] </Try> <State> [77, 78, 94] </State> <Try> 94 - 78 = 16 -> [16, 77] </Try> <State> [16, 77] </State> <Try> 77 - 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 [32, 38, 96, 92], create an equation that equals 90. You can use basic arithmetic operati...
<State> [32, 38, 92, 96] </State> <Try> 96 - 38 = 58 -> [32, 38, 92, 96] </Try> <Try> 32 * 38 = 1216 -> [32, 38, 92, 96] </Try> <Try> 92 * 38 = 3496 -> [32, 38, 92, 96] </Try> <Try> 96 - 92 = 4 -> [4, 32, 38] </Try> <State> [4, 32, 38] </State> <Try> 4 * 32 = 128 -> [38, 128] </Try> <State> [38, 128] </State> <Try> 128...
A conversation between User and Assistant. The user asks a question, and 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, 6, 50, 2], create an equation that equals 61. You can use basic arithmetic operation...
<State> [2, 6, 50, 80] </State> <Try> 80 - 50 = 30 -> [2, 6, 50, 80] </Try> <Try> 80 + 50 = 130 -> [2, 6, 50, 80] </Try> <Try> 80 / 2 = 40 -> [2, 6, 50, 80] </Try> <Try> 80 + 6 = 86 -> [2, 50, 86] </Try> <State> [2, 50, 86] </State> <Try> 50 / 2 = 25 -> [25, 86] </Try> <State> [25, 86] </State> <Try> 86 - 25 = 61 -> [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 [51, 15, 5, 8], create an equation that equals 79. You can use basic arithmetic operation...
<State> [5, 8, 15, 51] </State> <Try> 51 + 15 = 66 -> [5, 8, 66] </Try> <State> [5, 8, 66] </State> <Try> 66 + 8 = 74 -> [5, 74] </Try> <State> [5, 74] </State> <Try> 74 + 5 = 79 -> [79] </Try> <State> [79] </State> <answer> (((51 + 15) + 8) + 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 [93, 96, 23], create an equation that equals 69. You can use basic arithmetic operations ...
<State> [23, 93, 96] </State> <Try> 93 + 96 = 189 -> [23, 93, 96] </Try> <Try> 96 - 23 = 73 -> [23, 93, 96] </Try> <Try> 93 - 23 = 70 -> [23, 93, 96] </Try> <Try> 96 - 93 = 3 -> [3, 23] </Try> <State> [3, 23] </State> <Try> 23 * 3 = 69 -> [69] </Try> <State> [69] </State> <answer> (23 * (96 - 93)) = 69 </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, 17, 36, 10], create an equation that equals 35. You can use basic arithmetic operati...
<State> [10, 17, 20, 36] </State> <Try> 17 + 20 = 37 -> [10, 17, 20, 36] </Try> <Try> 17 - 10 = 7 -> [10, 17, 20, 36] </Try> <Try> 20 - 17 = 3 -> [10, 17, 20, 36] </Try> <Try> 20 / 10 = 2 -> [2, 17, 36] </Try> <State> [2, 17, 36] </State> <Try> 36 / 2 = 18 -> [17, 18] </Try> <State> [17, 18] </State> <Try> 17 + 18 = 35...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [82, 27, 47, 2], create an equation that equals 89. You can use basic arithmetic operatio...
<State> [2, 27, 47, 82] </State> <Try> 82 + 2 = 84 -> [2, 27, 47, 82] </Try> <Try> 82 + 27 = 109 -> [2, 27, 47, 82] </Try> <Try> 47 + 82 = 129 -> [2, 27, 47, 82] </Try> <Try> 82 - 47 = 35 -> [2, 27, 35] </Try> <State> [2, 27, 35] </State> <Try> 27 * 2 = 54 -> [35, 54] </Try> <State> [35, 54] </State> <Try> 35 + 54 = 89...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [13, 86, 91, 79], create an equation that equals 14. You can use basic arithmetic operati...
<State> [13, 79, 86, 91] </State> <Try> 13 + 86 = 99 -> [13, 79, 86, 91] </Try> <Try> 13 * 86 = 1118 -> [13, 79, 86, 91] </Try> <Try> 91 - 79 = 12 -> [13, 79, 86, 91] </Try> <Try> 91 / 13 = 7 -> [7, 79, 86] </Try> <State> [7, 79, 86] </State> <Try> 86 - 79 = 7 -> [7, 7] </Try> <State> [7, 7] </State> <Try> 7 + 7 = 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 [69, 3, 52, 52], create an equation that equals 73. You can use basic arithmetic operatio...
<State> [3, 52, 52, 69] </State> <Try> 52 - 52 = 0 -> [3, 52, 52, 69] </Try> <Try> 69 + 3 = 72 -> [52, 52, 72] </Try> <State> [52, 52, 72] </State> <Try> 52 / 52 = 1 -> [1, 72] </Try> <State> [1, 72] </State> <Try> 72 + 1 = 73 -> [73] </Try> <State> [73] </State> <answer> ((69 + 3) + (52 / 52)) = 73 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [3, 45, 13, 13], create an equation that equals 43. You can use basic arithmetic operatio...
<State> [3, 13, 13, 45] </State> <Try> 13 + 13 = 26 -> [3, 13, 13, 45] </Try> <Try> 13 - 13 = 0 -> [3, 13, 13, 45] </Try> <Try> 13 * 13 = 169 -> [3, 13, 13, 45] </Try> <Try> 45 - 3 = 42 -> [13, 13, 42] </Try> <State> [13, 13, 42] </State> <Try> 13 / 13 = 1 -> [1, 42] </Try> <State> [1, 42] </State> <Try> 42 + 1 = 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 [24, 32, 4, 16], create an equation that equals 15. You can use basic arithmetic operatio...
<State> [4, 16, 24, 32] </State> <Try> 32 / 16 = 2 -> [4, 16, 24, 32] </Try> <Try> 24 / 4 = 6 -> [4, 16, 24, 32] </Try> <Try> 32 / 4 = 8 -> [4, 16, 24, 32] </Try> <Try> 4 + 16 = 20 -> [20, 24, 32] </Try> <State> [20, 24, 32] </State> <Try> 24 * 20 = 480 -> [32, 480] </Try> <State> [32, 480] </State> <Try> 480 / 32 = 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 [16, 51, 75, 5], create an equation that equals 100. You can use basic arithmetic operati...
<State> [5, 16, 51, 75] </State> <Try> 5 * 5 = 25 -> [5, 16, 51, 75] </Try> <Try> 51 + 5 = 56 -> [5, 16, 51, 75] </Try> <Try> 75 - 16 = 59 -> [5, 16, 51, 75] </Try> <Try> 51 - 16 = 35 -> [5, 35, 75] </Try> <State> [5, 35, 75] </State> <Try> 5 * 35 = 175 -> [75, 175] </Try> <State> [75, 175] </State> <Try> 175 - 75 = 10...
A conversation between User and Assistant. The user asks a question, and 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, 2, 28], create an equation that equals 59. You can use basic arithmetic operations (...
<State> [2, 28, 62] </State> <Try> 28 / 2 = 14 -> [2, 28, 62] </Try> <Try> 28 - 2 = 26 -> [2, 28, 62] </Try> <Try> 62 - 28 = 34 -> [2, 28, 62] </Try> <Try> 62 / 2 = 31 -> [28, 31] </Try> <State> [28, 31] </State> <Try> 28 + 31 = 59 -> [59] </Try> <State> [59] </State> <answer> (28 + (62 / 2)) = 59 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [74, 18, 37, 70], create an equation that equals 35. You can use basic arithmetic operati...
<State> [18, 37, 70, 74] </State> <Try> 74 - 37 = 37 -> [18, 37, 70, 74] </Try> <Try> 70 - 18 = 52 -> [18, 37, 70, 74] </Try> <Try> 70 + 18 = 88 -> [18, 37, 70, 74] </Try> <Try> 74 - 70 = 4 -> [4, 18, 37] </Try> <State> [4, 18, 37] </State> <Try> 18 * 4 = 72 -> [37, 72] </Try> <State> [37, 72] </State> <Try> 72 - 37 = ...
A conversation between User and Assistant. The user asks a question, and 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, 55, 77, 10], create an equation that equals 47. You can use basic arithmetic operati...
<State> [10, 55, 77, 95] </State> <Try> 77 - 55 = 22 -> [10, 55, 77, 95] </Try> <Try> 95 - 77 = 18 -> [10, 55, 77, 95] </Try> <Try> 95 - 55 = 40 -> [10, 40, 77] </Try> <State> [10, 40, 77] </State> <Try> 77 + 10 = 87 -> [40, 87] </Try> <State> [40, 87] </State> <Try> 87 - 40 = 47 -> [47] </Try> <State> [47] </State> <a...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [10, 49, 61], create an equation that equals 11. You can use basic arithmetic operations ...
<State> [10, 49, 61] </State> <Try> 61 - 49 = 12 -> [10, 49, 61] </Try> <Try> 49 - 10 = 39 -> [10, 49, 61] </Try> <Try> 61 - 10 = 51 -> [10, 49, 61] </Try> <Try> 49 + 61 = 110 -> [10, 110] </Try> <State> [10, 110] </State> <Try> 110 / 10 = 11 -> [11] </Try> <State> [11] </State> <answer> ((49 + 61) / 10) = 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 [12, 1, 42, 3], create an equation that equals 56. You can use basic arithmetic operation...
<State> [1, 3, 12, 42] </State> <Try> 42 + 12 = 54 -> [1, 3, 54] </Try> <State> [1, 3, 54] </State> <Try> 54 + 3 = 57 -> [1, 57] </Try> <State> [1, 57] </State> <Try> 57 - 1 = 56 -> [56] </Try> <State> [56] </State> <answer> (((42 + 12) + 3) - 1) = 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 [42, 96, 98, 15], create an equation that equals 25. You can use basic arithmetic operati...
<State> [15, 42, 96, 98] </State> <Try> 42 - 15 = 27 -> [27, 96, 98] </Try> <State> [27, 96, 98] </State> <Try> 98 - 96 = 2 -> [2, 27] </Try> <State> [2, 27] </State> <Try> 27 - 2 = 25 -> [25] </Try> <State> [25] </State> <answer> ((42 - 15) - (98 - 96)) = 25 </answer>