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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 [10, 58, 64, 43], create an equation that equals 27. You can use basic arithmetic operati...
<State> [10, 43, 58, 64] </State> <Try> 64 - 43 = 21 -> [10, 43, 58, 64] </Try> <Try> 58 - 10 = 48 -> [10, 43, 58, 64] </Try> <Try> 58 - 43 = 15 -> [10, 43, 58, 64] </Try> <Try> 43 - 10 = 33 -> [33, 58, 64] </Try> <State> [33, 58, 64] </State> <Try> 64 - 58 = 6 -> [6, 33] </Try> <State> [6, 33] </State> <Try> 33 - 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 [3, 20, 38, 38], create an equation that equals 22. You can use basic arithmetic operatio...
<State> [3, 20, 38, 38] </State> <Try> 38 - 20 = 18 -> [3, 20, 38, 38] </Try> <Try> 38 - 38 = 0 -> [3, 20, 38, 38] </Try> <Try> 3 + 20 = 23 -> [23, 38, 38] </Try> <State> [23, 38, 38] </State> <Try> 38 / 38 = 1 -> [1, 23] </Try> <State> [1, 23] </State> <Try> 23 - 1 = 22 -> [22] </Try> <State> [22] </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 [58, 54, 55, 33], create an equation that equals 65. You can use basic arithmetic operati...
<State> [33, 54, 55, 58] </State> <Try> 55 - 54 = 1 -> [33, 54, 55, 58] </Try> <Try> 58 + 33 = 91 -> [33, 54, 55, 58] </Try> <Try> 58 - 55 = 3 -> [3, 33, 54] </Try> <State> [3, 33, 54] </State> <Try> 33 / 3 = 11 -> [11, 54] </Try> <State> [11, 54] </State> <Try> 54 + 11 = 65 -> [65] </Try> <State> [65] </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 [52, 96, 17], create an equation that equals 27. You can use basic arithmetic operations ...
<State> [17, 52, 96] </State> <Try> 52 - 17 = 35 -> [17, 52, 96] </Try> <Try> 96 - 52 = 44 -> [17, 44] </Try> <State> [17, 44] </State> <Try> 44 - 17 = 27 -> [27] </Try> <State> [27] </State> <answer> ((96 - 52) - 17) = 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 [58, 6, 44, 88], create an equation that equals 68. You can use basic arithmetic operatio...
<State> [6, 44, 58, 88] </State> <Try> 88 - 44 = 44 -> [6, 44, 58, 88] </Try> <Try> 58 + 6 = 64 -> [44, 64, 88] </Try> <State> [44, 64, 88] </State> <Try> 44 + 88 = 132 -> [64, 132] </Try> <State> [64, 132] </State> <Try> 132 - 64 = 68 -> [68] </Try> <State> [68] </State> <answer> ((44 + 88) - (58 + 6)) = 68 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [49, 74, 29, 15], create an equation that equals 11. You can use basic arithmetic operati...
<State> [15, 29, 49, 74] </State> <Try> 49 - 15 = 34 -> [15, 29, 49, 74] </Try> <Try> 74 - 15 = 59 -> [15, 29, 49, 74] </Try> <Try> 74 - 49 = 25 -> [15, 25, 29] </Try> <State> [15, 25, 29] </State> <Try> 29 - 15 = 14 -> [14, 25] </Try> <State> [14, 25] </State> <Try> 25 - 14 = 11 -> [11] </Try> <State> [11] </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 [34, 8, 21, 45], create an equation that equals 66. You can use basic arithmetic operatio...
<State> [8, 21, 34, 45] </State> <Try> 45 + 21 = 66 -> [8, 21, 34, 45] </Try> <Try> 45 - 8 = 37 -> [8, 21, 34, 45] </Try> <Try> 34 - 34 = 0 -> [8, 21, 34, 45] </Try> <Try> 34 + 8 = 42 -> [21, 42, 45] </Try> <State> [21, 42, 45] </State> <Try> 45 - 21 = 24 -> [24, 42] </Try> <State> [24, 42] </State> <Try> 42 + 24 = 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 [70, 56, 39, 1], create an equation that equals 88. You can use basic arithmetic operatio...
<State> [1, 39, 56, 70] </State> <Try> 70 + 56 = 126 -> [1, 39, 56, 70] </Try> <Try> 70 - 56 = 14 -> [1, 39, 56, 70] </Try> <Try> 70 * 56 = 3920 -> [1, 39, 56, 70] </Try> <Try> 70 - 39 = 31 -> [1, 31, 56] </Try> <State> [1, 31, 56] </State> <Try> 31 + 56 = 87 -> [1, 87] </Try> <State> [1, 87] </State> <Try> 87 + 1 = 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 [23, 21, 45, 25], create an equation that equals 63. You can use basic arithmetic operati...
<State> [21, 23, 25, 45] </State> <Try> 45 - 25 = 20 -> [20, 21, 23] </Try> <State> [20, 21, 23] </State> <Try> 23 - 20 = 3 -> [3, 21] </Try> <State> [3, 21] </State> <Try> 3 * 21 = 63 -> [63] </Try> <State> [63] </State> <answer> ((23 - (45 - 25)) * 21) = 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 [77, 35, 83], create an equation that equals 41. You can use basic arithmetic operations ...
<State> [35, 77, 83] </State> <Try> 83 - 77 = 6 -> [35, 77, 83] </Try> <Try> 77 - 35 = 42 -> [42, 83] </Try> <State> [42, 83] </State> <Try> 83 - 42 = 41 -> [41] </Try> <State> [41] </State> <answer> (83 - (77 - 35)) = 41 </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 [24, 51, 58, 10], create an equation that equals 21. You can use basic arithmetic operati...
<State> [10, 24, 51, 58] </State> <Try> 58 - 51 = 7 -> [10, 24, 51, 58] </Try> <Try> 24 - 10 = 14 -> [10, 24, 51, 58] </Try> <Try> 24 * 10 = 240 -> [10, 24, 51, 58] </Try> <Try> 51 - 24 = 27 -> [10, 27, 58] </Try> <State> [10, 27, 58] </State> <Try> 58 - 10 = 48 -> [27, 48] </Try> <State> [27, 48] </State> <Try> 48 - 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 [80, 55, 16, 58], create an equation that equals 99. You can use basic arithmetic operati...
<State> [16, 55, 58, 80] </State> <Try> 80 - 58 = 22 -> [16, 55, 58, 80] </Try> <Try> 80 + 58 = 138 -> [16, 55, 58, 80] </Try> <Try> 55 + 58 = 113 -> [16, 55, 58, 80] </Try> <Try> 80 + 16 = 96 -> [55, 58, 96] </Try> <State> [55, 58, 96] </State> <Try> 58 - 55 = 3 -> [3, 96] </Try> <State> [3, 96] </State> <Try> 96 + 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 [69, 35, 41, 18], create an equation that equals 39. You can use basic arithmetic operati...
<State> [18, 35, 41, 69] </State> <Try> 69 - 35 = 34 -> [18, 35, 41, 69] </Try> <Try> 41 - 18 = 23 -> [18, 35, 41, 69] </Try> <Try> 35 + 18 = 53 -> [18, 35, 41, 69] </Try> <Try> 41 - 35 = 6 -> [6, 18, 69] </Try> <State> [6, 18, 69] </State> <Try> 18 * 6 = 108 -> [69, 108] </Try> <State> [69, 108] </State> <Try> 108 - 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 [18, 34, 60], create an equation that equals 44. You can use basic arithmetic operations ...
<State> [18, 34, 60] </State> <Try> 60 - 34 = 26 -> [18, 26] </Try> <State> [18, 26] </State> <Try> 26 + 18 = 44 -> [44] </Try> <State> [44] </State> <answer> ((60 - 34) + 18) = 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 [48, 89, 95, 33], create an equation that equals 87. You can use basic arithmetic operati...
<State> [33, 48, 89, 95] </State> <Try> 95 - 48 = 47 -> [33, 48, 89, 95] </Try> <Try> 95 - 33 = 62 -> [33, 48, 89, 95] </Try> <Try> 95 - 89 = 6 -> [33, 48, 89, 95] </Try> <Try> 33 + 48 = 81 -> [81, 89, 95] </Try> <State> [81, 89, 95] </State> <Try> 81 - 89 = -8 -> [-8, 95] </Try> <State> [-8, 95] </State> <Try> -8 + 95...
A conversation between User and Assistant. The user asks a question, and 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, 80, 8], create an equation that equals 26. You can use basic arithmetic operations (...
<State> [8, 46, 80] </State> <Try> 80 / 8 = 10 -> [8, 46, 80] </Try> <Try> 46 - 8 = 38 -> [8, 46, 80] </Try> <Try> 80 - 46 = 34 -> [8, 34] </Try> <State> [8, 34] </State> <Try> 34 - 8 = 26 -> [26] </Try> <State> [26] </State> <answer> ((80 - 46) - 8) = 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 [62, 18, 52, 23], create an equation that equals 31. You can use basic arithmetic operati...
<State> [18, 23, 52, 62] </State> <Try> 52 - 18 = 34 -> [18, 23, 52, 62] </Try> <Try> 62 - 18 = 44 -> [23, 44, 52] </Try> <State> [23, 44, 52] </State> <Try> 52 + 23 = 75 -> [44, 75] </Try> <State> [44, 75] </State> <Try> 75 - 44 = 31 -> [31] </Try> <State> [31] </State> <answer> ((52 + 23) - (62 - 18)) = 31 </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, 2, 12, 22], create an equation that equals 12. You can use basic arithmetic operatio...
<State> [2, 12, 22, 83] </State> <Try> 83 - 22 = 61 -> [2, 12, 22, 83] </Try> <Try> 12 * 2 = 24 -> [2, 12, 22, 83] </Try> <Try> 22 / 2 = 11 -> [2, 12, 22, 83] </Try> <Try> 83 * 2 = 166 -> [12, 22, 166] </Try> <State> [12, 22, 166] </State> <Try> 166 - 22 = 144 -> [12, 144] </Try> <State> [12, 144] </State> <Try> 144 / ...
A conversation between User and Assistant. The user asks a question, and 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, 18, 21, 39], create an equation that equals 30. You can use basic arithmetic operati...
<State> [18, 21, 23, 39] </State> <Try> 18 + 21 = 39 -> [18, 21, 23, 39] </Try> <Try> 39 - 23 = 16 -> [18, 21, 23, 39] </Try> <Try> 39 - 18 = 21 -> [18, 21, 23, 39] </Try> <Try> 21 - 18 = 3 -> [3, 23, 39] </Try> <State> [3, 23, 39] </State> <Try> 3 * 23 = 69 -> [39, 69] </Try> <State> [39, 69] </State> <Try> 69 - 39 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [89, 6, 54, 3], create an equation that equals 69. You can use basic arithmetic operation...
<State> [3, 6, 54, 89] </State> <Try> 89 - 54 = 35 -> [3, 6, 54, 89] </Try> <Try> 89 - 6 = 83 -> [3, 6, 54, 89] </Try> <Try> 6 / 3 = 2 -> [3, 6, 54, 89] </Try> <Try> 6 + 54 = 60 -> [3, 60, 89] </Try> <State> [3, 60, 89] </State> <Try> 60 / 3 = 20 -> [20, 89] </Try> <State> [20, 89] </State> <Try> 89 - 20 = 69 -> [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 [17, 51, 37, 28], create an equation that equals 77. You can use basic arithmetic operati...
<State> [17, 28, 37, 51] </State> <Try> 51 + 28 = 79 -> [17, 28, 37, 51] </Try> <Try> 37 + 28 = 65 -> [17, 28, 37, 51] </Try> <Try> 37 - 17 = 20 -> [17, 28, 37, 51] </Try> <Try> 17 + 51 = 68 -> [28, 37, 68] </Try> <State> [28, 37, 68] </State> <Try> 37 - 28 = 9 -> [9, 68] </Try> <State> [9, 68] </State> <Try> 68 + 9 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [46, 2, 2, 74], create an equation that equals 100. You can use basic arithmetic operatio...
<State> [2, 2, 46, 74] </State> <Try> 74 + 46 = 120 -> [2, 2, 46, 74] </Try> <Try> 46 + 2 = 48 -> [2, 48, 74] </Try> <State> [2, 48, 74] </State> <Try> 2 * 74 = 148 -> [48, 148] </Try> <State> [48, 148] </State> <Try> 148 - 48 = 100 -> [100] </Try> <State> [100] </State> <answer> ((2 * 74) - (46 + 2)) = 100 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [56, 39, 18, 26], create an equation that equals 51. You can use basic arithmetic operati...
<State> [18, 26, 39, 56] </State> <Try> 56 - 39 = 17 -> [18, 26, 39, 56] </Try> <Try> 56 - 26 = 30 -> [18, 26, 39, 56] </Try> <Try> 39 + 18 = 57 -> [18, 26, 39, 56] </Try> <Try> 56 + 39 = 95 -> [18, 26, 95] </Try> <State> [18, 26, 95] </State> <Try> 18 + 26 = 44 -> [44, 95] </Try> <State> [44, 95] </State> <Try> 95 - 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 [64, 80, 79, 73], create an equation that equals 22. You can use basic arithmetic operati...
<State> [64, 73, 79, 80] </State> <Try> 80 - 79 = 1 -> [64, 73, 79, 80] </Try> <Try> 73 - 64 = 9 -> [64, 73, 79, 80] </Try> <Try> 80 - 64 = 16 -> [16, 73, 79] </Try> <State> [16, 73, 79] </State> <Try> 79 - 73 = 6 -> [6, 16] </Try> <State> [6, 16] </State> <Try> 16 + 6 = 22 -> [22] </Try> <State> [22] </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 [61, 74, 83, 36], create an equation that equals 34. You can use basic arithmetic operati...
<State> [36, 61, 74, 83] </State> <Try> 83 - 36 = 47 -> [36, 61, 74, 83] </Try> <Try> 74 - 36 = 38 -> [36, 61, 74, 83] </Try> <Try> 83 - 74 = 9 -> [9, 36, 61] </Try> <State> [9, 36, 61] </State> <Try> 61 - 36 = 25 -> [9, 25] </Try> <State> [9, 25] </State> <Try> 9 + 25 = 34 -> [34] </Try> <State> [34] </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 [56, 43, 28, 65], create an equation that equals 20. You can use basic arithmetic operati...
<State> [28, 43, 56, 65] </State> <Try> 65 - 43 = 22 -> [22, 28, 56] </Try> <State> [22, 28, 56] </State> <Try> 56 / 28 = 2 -> [2, 22] </Try> <State> [2, 22] </State> <Try> 22 - 2 = 20 -> [20] </Try> <State> [20] </State> <answer> ((65 - 43) - (56 / 28)) = 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 [57, 4, 53, 51], create an equation that equals 52. You can use basic arithmetic operatio...
<State> [4, 51, 53, 57] </State> <Try> 57 - 51 = 6 -> [4, 51, 53, 57] </Try> <Try> 57 - 53 = 4 -> [4, 51, 53, 57] </Try> <Try> 51 - 4 = 47 -> [4, 51, 53, 57] </Try> <Try> 57 - 4 = 53 -> [51, 53, 53] </Try> <State> [51, 53, 53] </State> <Try> 53 / 53 = 1 -> [1, 51] </Try> <State> [1, 51] </State> <Try> 51 + 1 = 52 -> [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 [2, 61, 25, 75], create an equation that equals 36. You can use basic arithmetic operatio...
<State> [2, 25, 61, 75] </State> <Try> 2 * 25 = 50 -> [50, 61, 75] </Try> <State> [50, 61, 75] </State> <Try> 75 - 61 = 14 -> [14, 50] </Try> <State> [14, 50] </State> <Try> 50 - 14 = 36 -> [36] </Try> <State> [36] </State> <answer> ((2 * 25) - (75 - 61)) = 36 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [60, 12, 59, 95], create an equation that equals 84. You can use basic arithmetic operati...
<State> [12, 59, 60, 95] </State> <Try> 95 - 12 = 83 -> [59, 60, 83] </Try> <State> [59, 60, 83] </State> <Try> 60 - 59 = 1 -> [1, 83] </Try> <State> [1, 83] </State> <Try> 83 + 1 = 84 -> [84] </Try> <State> [84] </State> <answer> ((95 - 12) + (60 - 59)) = 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, 59, 21, 52], create an equation that equals 10. You can use basic arithmetic operatio...
<State> [9, 21, 52, 59] </State> <Try> 59 - 52 = 7 -> [9, 21, 52, 59] </Try> <Try> 52 - 21 = 31 -> [9, 21, 52, 59] </Try> <Try> 21 - 9 = 12 -> [9, 21, 52, 59] </Try> <Try> 59 - 21 = 38 -> [9, 38, 52] </Try> <State> [9, 38, 52] </State> <Try> 52 + 38 = 90 -> [9, 90] </Try> <State> [9, 90] </State> <Try> 90 / 9 = 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 [46, 46, 29], create an equation that equals 29. You can use basic arithmetic operations ...
<State> [29, 46, 46] </State> <Try> 46 / 46 = 1 -> [1, 29] </Try> <State> [1, 29] </State> <Try> 1 * 29 = 29 -> [29] </Try> <State> [29] </State> <answer> ((46 / 46) * 29) = 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 [52, 53, 20, 26], create an equation that equals 99. You can use basic arithmetic operati...
<State> [20, 26, 52, 53] </State> <Try> 52 + 26 = 78 -> [20, 26, 52, 53] </Try> <Try> 52 + 53 = 105 -> [20, 26, 105] </Try> <State> [20, 26, 105] </State> <Try> 26 - 20 = 6 -> [6, 105] </Try> <State> [6, 105] </State> <Try> 105 - 6 = 99 -> [99] </Try> <State> [99] </State> <answer> ((52 + 53) - (26 - 20)) = 99 </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, 2, 50, 54], create an equation that equals 26. You can use basic arithmetic operatio...
<State> [2, 17, 50, 54] </State> <Try> 17 + 2 = 19 -> [2, 17, 50, 54] </Try> <Try> 17 * 2 = 34 -> [2, 17, 50, 54] </Try> <Try> 54 - 50 = 4 -> [2, 17, 50, 54] </Try> <Try> 17 + 50 = 67 -> [2, 54, 67] </Try> <State> [2, 54, 67] </State> <Try> 67 - 54 = 13 -> [2, 13] </Try> <State> [2, 13] </State> <Try> 2 * 13 = 26 -> [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 [84, 20, 8, 67], create an equation that equals 60. You can use basic arithmetic operatio...
<State> [8, 20, 67, 84] </State> <Try> 84 - 67 = 17 -> [8, 20, 67, 84] </Try> <Try> 84 - 8 = 76 -> [8, 20, 67, 84] </Try> <Try> 67 - 8 = 59 -> [8, 20, 67, 84] </Try> <Try> 20 - 8 = 12 -> [12, 67, 84] </Try> <State> [12, 67, 84] </State> <Try> 84 / 12 = 7 -> [7, 67] </Try> <State> [7, 67] </State> <Try> 67 - 7 = 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 [1, 40, 32, 40], create an equation that equals 33. You can use basic arithmetic operatio...
<State> [1, 32, 40, 40] </State> <Try> 40 - 40 = 0 -> [1, 32, 40, 40] </Try> <Try> 40 * 40 = 1600 -> [1, 32, 40, 40] </Try> <Try> 40 / 40 = 1 -> [1, 32, 40, 40] </Try> <Try> 1 + 40 = 41 -> [32, 40, 41] </Try> <State> [32, 40, 41] </State> <Try> 40 - 32 = 8 -> [8, 41] </Try> <State> [8, 41] </State> <Try> 41 - 8 = 33 ->...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [11, 35, 46, 50], create an equation that equals 72. You can use basic arithmetic operati...
<State> [11, 35, 46, 50] </State> <Try> 46 + 35 = 81 -> [11, 35, 46, 50] </Try> <Try> 50 - 35 = 15 -> [11, 35, 46, 50] </Try> <Try> 50 - 46 = 4 -> [11, 35, 46, 50] </Try> <Try> 35 - 11 = 24 -> [24, 46, 50] </Try> <State> [24, 46, 50] </State> <Try> 46 + 50 = 96 -> [24, 96] </Try> <State> [24, 96] </State> <Try> 96 - 24...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [19, 3, 41, 29], create an equation that equals 34. You can use basic arithmetic operatio...
<State> [3, 19, 29, 41] </State> <Try> 19 + 3 = 22 -> [22, 29, 41] </Try> <State> [22, 29, 41] </State> <Try> 41 - 29 = 12 -> [12, 22] </Try> <State> [12, 22] </State> <Try> 22 + 12 = 34 -> [34] </Try> <State> [34] </State> <answer> ((19 + 3) + (41 - 29)) = 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 [87, 1, 61, 62], create an equation that equals 86. You can use basic arithmetic operatio...
<State> [1, 61, 62, 87] </State> <Try> 61 / 61 = 1 -> [1, 61, 62, 87] </Try> <Try> 62 / 62 = 1 -> [1, 61, 62, 87] </Try> <Try> 87 - 1 = 86 -> [61, 62, 86] </Try> <State> [61, 62, 86] </State> <Try> 62 - 61 = 1 -> [1, 86] </Try> <State> [1, 86] </State> <Try> 86 * 1 = 86 -> [86] </Try> <State> [86] </State> <answer> ((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 [47, 30, 2, 18], create an equation that equals 44. You can use basic arithmetic operatio...
<State> [2, 18, 30, 47] </State> <Try> 47 - 2 = 45 -> [2, 18, 30, 47] </Try> <Try> 30 + 2 = 32 -> [2, 18, 30, 47] </Try> <Try> 30 + 18 = 48 -> [2, 18, 30, 47] </Try> <Try> 47 - 18 = 29 -> [2, 29, 30] </Try> <State> [2, 29, 30] </State> <Try> 30 / 2 = 15 -> [15, 29] </Try> <State> [15, 29] </State> <Try> 29 + 15 = 44 ->...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [2, 28, 76, 6], create an equation that equals 59. You can use basic arithmetic operation...
<State> [2, 6, 28, 76] </State> <Try> 76 - 28 = 48 -> [2, 6, 28, 76] </Try> <Try> 28 * 2 = 56 -> [2, 6, 28, 76] </Try> <Try> 76 - 6 = 70 -> [2, 6, 28, 76] </Try> <Try> 28 + 6 = 34 -> [2, 34, 76] </Try> <State> [2, 34, 76] </State> <Try> 34 / 2 = 17 -> [17, 76] </Try> <State> [17, 76] </State> <Try> 76 - 17 = 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 [6, 41, 37, 96], create an equation that equals 85. You can use basic arithmetic operatio...
<State> [6, 37, 41, 96] </State> <Try> 96 - 37 = 59 -> [6, 37, 41, 96] </Try> <Try> 41 + 37 = 78 -> [6, 37, 41, 96] </Try> <Try> 96 / 6 = 16 -> [6, 37, 41, 96] </Try> <Try> 6 * 37 = 222 -> [41, 96, 222] </Try> <State> [41, 96, 222] </State> <Try> 41 + 96 = 137 -> [137, 222] </Try> <State> [137, 222] </State> <Try> 222 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [50, 45, 81, 45], create an equation that equals 81. You can use basic arithmetic operati...
<State> [45, 45, 50, 81] </State> <Try> 45 / 45 = 1 -> [45, 45, 50, 81] </Try> <Try> 50 - 45 = 5 -> [45, 45, 50, 81] </Try> <Try> 45 - 45 = 0 -> [0, 50, 81] </Try> <State> [0, 50, 81] </State> <Try> 50 * 0 = 0 -> [0, 81] </Try> <State> [0, 81] </State> <Try> 81 + 0 = 81 -> [81] </Try> <State> [81] </State> <answer> (81...
A conversation between User and Assistant. The user asks a question, and 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, 58, 2, 38], create an equation that equals 77. You can use basic arithmetic operation...
<State> [2, 4, 38, 58] </State> <Try> 58 + 38 = 96 -> [2, 4, 38, 58] </Try> <Try> 58 - 38 = 20 -> [2, 4, 38, 58] </Try> <Try> 58 + 4 = 62 -> [2, 4, 38, 58] </Try> <Try> 4 - 2 = 2 -> [2, 38, 58] </Try> <State> [2, 38, 58] </State> <Try> 38 / 2 = 19 -> [19, 58] </Try> <State> [19, 58] </State> <Try> 58 + 19 = 77 -> [77] ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [89, 60, 75, 7], create an equation that equals 67. You can use basic arithmetic operatio...
<State> [7, 60, 75, 89] </State> <Try> 89 - 60 = 29 -> [7, 60, 75, 89] </Try> <Try> 75 - 60 = 15 -> [7, 60, 75, 89] </Try> <Try> 89 - 75 = 14 -> [7, 60, 75, 89] </Try> <Try> 89 + 60 = 149 -> [7, 75, 149] </Try> <State> [7, 75, 149] </State> <Try> 75 + 7 = 82 -> [82, 149] </Try> <State> [82, 149] </State> <Try> 149 - 82...
A conversation between User and Assistant. The user asks a question, and 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, 99, 24, 32], create an equation that equals 50. You can use basic arithmetic operatio...
<State> [7, 24, 32, 99] </State> <Try> 99 - 32 = 67 -> [7, 24, 32, 99] </Try> <Try> 32 + 7 = 39 -> [7, 24, 32, 99] </Try> <Try> 7 + 99 = 106 -> [24, 32, 106] </Try> <State> [24, 32, 106] </State> <Try> 24 + 32 = 56 -> [56, 106] </Try> <State> [56, 106] </State> <Try> 106 - 56 = 50 -> [50] </Try> <State> [50] </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 [67, 36, 38, 18], create an equation that equals 98. You can use basic arithmetic operati...
<State> [18, 36, 38, 67] </State> <Try> 38 - 18 = 20 -> [18, 36, 38, 67] </Try> <Try> 38 + 67 = 105 -> [18, 36, 38, 67] </Try> <Try> 36 - 18 = 18 -> [18, 36, 38, 67] </Try> <Try> 67 - 18 = 49 -> [36, 38, 49] </Try> <State> [36, 38, 49] </State> <Try> 38 - 36 = 2 -> [2, 49] </Try> <State> [2, 49] </State> <Try> 49 * 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 [78, 80, 9, 26], create an equation that equals 37. You can use basic arithmetic operatio...
<State> [9, 26, 78, 80] </State> <Try> 78 - 26 = 52 -> [9, 26, 78, 80] </Try> <Try> 80 - 26 = 54 -> [9, 26, 78, 80] </Try> <Try> 80 - 78 = 2 -> [2, 9, 26] </Try> <State> [2, 9, 26] </State> <Try> 9 + 26 = 35 -> [2, 35] </Try> <State> [2, 35] </State> <Try> 2 + 35 = 37 -> [37] </Try> <State> [37] </State> <answer> ((80 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [16, 4, 1, 92], create an equation that equals 80. You can use basic arithmetic operation...
<State> [1, 4, 16, 92] </State> <Try> 16 * 4 = 64 -> [1, 4, 16, 92] </Try> <Try> 92 - 16 = 76 -> [1, 4, 76] </Try> <State> [1, 4, 76] </State> <Try> 76 + 4 = 80 -> [1, 80] </Try> <State> [1, 80] </State> <Try> 80 * 1 = 80 -> [80] </Try> <State> [80] </State> <answer> (((92 - 16) + 4) * 1) = 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 [39, 94, 7, 17], create an equation that equals 60. You can use basic arithmetic operatio...
<State> [7, 17, 39, 94] </State> <Try> 94 + 7 = 101 -> [7, 17, 39, 94] </Try> <Try> 94 - 39 = 55 -> [7, 17, 39, 94] </Try> <Try> 17 * 7 = 119 -> [7, 17, 39, 94] </Try> <Try> 39 - 17 = 22 -> [7, 22, 94] </Try> <State> [7, 22, 94] </State> <Try> 7 * 22 = 154 -> [94, 154] </Try> <State> [94, 154] </State> <Try> 154 - 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 [13, 17, 13, 21], create an equation that equals 73. You can use basic arithmetic operati...
<State> [13, 13, 17, 21] </State> <Try> 13 * 13 = 169 -> [13, 13, 17, 21] </Try> <Try> 21 + 17 = 38 -> [13, 13, 17, 21] </Try> <Try> 13 + 13 = 26 -> [13, 13, 17, 21] </Try> <Try> 17 - 13 = 4 -> [4, 13, 21] </Try> <State> [4, 13, 21] </State> <Try> 13 * 4 = 52 -> [21, 52] </Try> <State> [21, 52] </State> <Try> 21 + 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 [69, 84, 10, 85], create an equation that equals 80. You can use basic arithmetic operati...
<State> [10, 69, 84, 85] </State> <Try> 85 - 69 = 16 -> [10, 69, 84, 85] </Try> <Try> 85 - 10 = 75 -> [10, 69, 84, 85] </Try> <Try> 84 - 69 = 15 -> [10, 69, 84, 85] </Try> <Try> 69 + 10 = 79 -> [79, 84, 85] </Try> <State> [79, 84, 85] </State> <Try> 85 - 84 = 1 -> [1, 79] </Try> <State> [1, 79] </State> <Try> 79 + 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 [70, 38, 9], create an equation that equals 23. You can use basic arithmetic operations (...
<State> [9, 38, 70] </State> <Try> 70 - 38 = 32 -> [9, 32] </Try> <State> [9, 32] </State> <Try> 32 - 9 = 23 -> [23] </Try> <State> [23] </State> <answer> ((70 - 38) - 9) = 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 [46, 13, 23, 33], create an equation that equals 59. You can use basic arithmetic operati...
<State> [13, 23, 33, 46] </State> <Try> 46 + 13 = 59 -> [13, 23, 33, 46] </Try> <Try> 33 - 23 = 10 -> [13, 23, 33, 46] </Try> <Try> 33 - 33 = 0 -> [13, 23, 33, 46] </Try> <Try> 46 * 13 = 598 -> [23, 33, 598] </Try> <State> [23, 33, 598] </State> <Try> 598 / 23 = 26 -> [26, 33] </Try> <State> [26, 33] </State> <Try> 33 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [21, 26, 1, 65], create an equation that equals 70. You can use basic arithmetic operatio...
<State> [1, 21, 26, 65] </State> <Try> 26 + 21 = 47 -> [1, 21, 26, 65] </Try> <Try> 65 + 1 = 66 -> [1, 21, 26, 65] </Try> <Try> 26 - 21 = 5 -> [1, 5, 65] </Try> <State> [1, 5, 65] </State> <Try> 5 * 1 = 5 -> [5, 65] </Try> <State> [5, 65] </State> <Try> 5 + 65 = 70 -> [70] </Try> <State> [70] </State> <answer> (((26 - ...
A conversation between User and Assistant. The user asks a question, and 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, 78, 41, 83], create an equation that equals 76. You can use basic arithmetic operati...
<State> [17, 41, 78, 83] </State> <Try> 83 - 78 = 5 -> [17, 41, 78, 83] </Try> <Try> 78 - 17 = 61 -> [17, 41, 78, 83] </Try> <Try> 83 - 41 = 42 -> [17, 41, 78, 83] </Try> <Try> 78 + 41 = 119 -> [17, 83, 119] </Try> <State> [17, 83, 119] </State> <Try> 119 / 17 = 7 -> [7, 83] </Try> <State> [7, 83] </State> <Try> 83 - 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 [38, 67, 27, 13], create an equation that equals 76. You can use basic arithmetic operati...
<State> [13, 27, 38, 67] </State> <Try> 67 + 13 = 80 -> [13, 27, 38, 67] </Try> <Try> 38 + 38 = 76 -> [13, 27, 38, 67] </Try> <Try> 27 + 13 = 40 -> [13, 27, 38, 67] </Try> <Try> 67 - 13 = 54 -> [27, 38, 54] </Try> <State> [27, 38, 54] </State> <Try> 54 / 27 = 2 -> [2, 38] </Try> <State> [2, 38] </State> <Try> 2 * 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 [76, 3, 54, 20], create an equation that equals 66. You can use basic arithmetic operatio...
<State> [3, 20, 54, 76] </State> <Try> 76 - 20 = 56 -> [3, 20, 54, 76] </Try> <Try> 54 + 3 = 57 -> [3, 20, 54, 76] </Try> <Try> 76 - 54 = 22 -> [3, 20, 54, 76] </Try> <Try> 76 + 20 = 96 -> [3, 54, 96] </Try> <State> [3, 54, 96] </State> <Try> 3 * 54 = 162 -> [96, 162] </Try> <State> [96, 162] </State> <Try> 162 - 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 [16, 58, 80, 65], create an equation that equals 40. You can use basic arithmetic operati...
<State> [16, 58, 65, 80] </State> <Try> 65 - 58 = 7 -> [16, 58, 65, 80] </Try> <Try> 80 - 65 = 15 -> [16, 58, 65, 80] </Try> <Try> 58 - 16 = 42 -> [16, 58, 65, 80] </Try> <Try> 80 + 65 = 145 -> [16, 58, 145] </Try> <State> [16, 58, 145] </State> <Try> 16 * 145 = 2320 -> [58, 2320] </Try> <State> [58, 2320] </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 [92, 70, 81, 82], create an equation that equals 84. You can use basic arithmetic operati...
<State> [70, 81, 82, 92] </State> <Try> 92 - 70 = 22 -> [70, 81, 82, 92] </Try> <Try> 81 - 70 = 11 -> [70, 81, 82, 92] </Try> <Try> 92 - 81 = 11 -> [70, 81, 82, 92] </Try> <Try> 92 + 70 = 162 -> [81, 82, 162] </Try> <State> [81, 82, 162] </State> <Try> 162 / 81 = 2 -> [2, 82] </Try> <State> [2, 82] </State> <Try> 82 + ...
A conversation between User and Assistant. The user asks a question, and 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, 54, 64], create an equation that equals 67. You can use basic arithmetic operations ...
<State> [54, 57, 64] </State> <Try> 64 + 54 = 118 -> [54, 57, 64] </Try> <Try> 64 - 54 = 10 -> [54, 57, 64] </Try> <Try> 64 + 57 = 121 -> [54, 57, 64] </Try> <Try> 57 - 54 = 3 -> [3, 64] </Try> <State> [3, 64] </State> <Try> 64 + 3 = 67 -> [67] </Try> <State> [67] </State> <answer> (64 + (57 - 54)) = 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 [3, 88, 62, 52], create an equation that equals 50. You can use basic arithmetic operatio...
<State> [3, 52, 62, 88] </State> <Try> 88 + 62 = 150 -> [3, 52, 62, 88] </Try> <Try> 62 - 52 = 10 -> [3, 52, 62, 88] </Try> <Try> 52 + 3 = 55 -> [3, 52, 62, 88] </Try> <Try> 88 - 52 = 36 -> [3, 36, 62] </Try> <State> [3, 36, 62] </State> <Try> 36 / 3 = 12 -> [12, 62] </Try> <State> [12, 62] </State> <Try> 62 - 12 = 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 [15, 81, 86], create an equation that equals 20. You can use basic arithmetic operations ...
<State> [15, 81, 86] </State> <Try> 86 - 81 = 5 -> [15, 81, 86] </Try> <Try> 86 + 15 = 101 -> [15, 81, 86] </Try> <Try> 81 + 15 = 96 -> [15, 81, 86] </Try> <Try> 81 - 15 = 66 -> [66, 86] </Try> <State> [66, 86] </State> <Try> 86 - 66 = 20 -> [20] </Try> <State> [20] </State> <answer> (86 - (81 - 15)) = 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 [69, 7, 19, 30], create an equation that equals 87. You can use basic arithmetic operatio...
<State> [7, 19, 30, 69] </State> <Try> 69 + 19 = 88 -> [7, 19, 30, 69] </Try> <Try> 30 / 30 = 1 -> [7, 19, 30, 69] </Try> <Try> 69 + 30 = 99 -> [7, 19, 99] </Try> <State> [7, 19, 99] </State> <Try> 99 - 19 = 80 -> [7, 80] </Try> <State> [7, 80] </State> <Try> 80 + 7 = 87 -> [87] </Try> <State> [87] </State> <answer> ((...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [55, 39, 3], create an equation that equals 91. You can use basic arithmetic operations (...
<State> [3, 39, 55] </State> <Try> 55 - 39 = 16 -> [3, 39, 55] </Try> <Try> 55 + 39 = 94 -> [3, 94] </Try> <State> [3, 94] </State> <Try> 94 - 3 = 91 -> [91] </Try> <State> [91] </State> <answer> ((55 + 39) - 3) = 91 </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, 76, 93, 17], create an equation that equals 18. You can use basic arithmetic operati...
<State> [17, 17, 76, 93] </State> <Try> 17 + 17 = 34 -> [17, 17, 76, 93] </Try> <Try> 93 - 76 = 17 -> [17, 17, 17] </Try> <State> [17, 17, 17] </State> <Try> 17 / 17 = 1 -> [1, 17] </Try> <State> [1, 17] </State> <Try> 17 + 1 = 18 -> [18] </Try> <State> [18] </State> <answer> ((93 - 76) + ((93 - 76) / (93 - 76))) = 18 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [16, 36, 38, 4], create an equation that equals 78. You can use basic arithmetic operatio...
<State> [4, 16, 36, 38] </State> <Try> 38 - 36 = 2 -> [4, 16, 36, 38] </Try> <Try> 38 * 4 = 152 -> [4, 16, 36, 38] </Try> <Try> 36 * 4 = 144 -> [4, 16, 36, 38] </Try> <Try> 16 / 4 = 4 -> [4, 36, 38] </Try> <State> [4, 36, 38] </State> <Try> 36 + 38 = 74 -> [4, 74] </Try> <State> [4, 74] </State> <Try> 4 + 74 = 78 -> [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, 28, 71, 42], create an equation that equals 88. You can use basic arithmetic operatio...
<State> [4, 28, 42, 71] </State> <Try> 71 + 42 = 113 -> [4, 28, 42, 71] </Try> <Try> 28 + 42 = 70 -> [4, 28, 42, 71] </Try> <Try> 28 * 4 = 112 -> [4, 28, 42, 71] </Try> <Try> 71 - 42 = 29 -> [4, 28, 29] </Try> <State> [4, 28, 29] </State> <Try> 4 * 29 = 116 -> [28, 116] </Try> <State> [28, 116] </State> <Try> 116 - 28 ...
A conversation between User and Assistant. The user asks a question, and 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, 33, 47, 36], create an equation that equals 10. You can use basic arithmetic operatio...
<State> [9, 33, 36, 47] </State> <Try> 47 - 33 = 14 -> [9, 14, 36] </Try> <State> [9, 14, 36] </State> <Try> 36 / 9 = 4 -> [4, 14] </Try> <State> [4, 14] </State> <Try> 14 - 4 = 10 -> [10] </Try> <State> [10] </State> <answer> ((47 - 33) - (36 / 9)) = 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 [2, 38, 2, 75], create an equation that equals 58. You can use basic arithmetic operation...
<State> [2, 2, 38, 75] </State> <Try> 2 * 2 = 4 -> [2, 2, 38, 75] </Try> <Try> 75 - 38 = 37 -> [2, 2, 38, 75] </Try> <Try> 38 / 2 = 19 -> [2, 19, 75] </Try> <State> [2, 19, 75] </State> <Try> 2 + 75 = 77 -> [19, 77] </Try> <State> [19, 77] </State> <Try> 77 - 19 = 58 -> [58] </Try> <State> [58] </State> <answer> ((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 [68, 48, 65], create an equation that equals 51. You can use basic arithmetic operations ...
<State> [48, 65, 68] </State> <Try> 68 - 48 = 20 -> [48, 65, 68] </Try> <Try> 68 - 65 = 3 -> [48, 65, 68] </Try> <Try> 65 - 48 = 17 -> [48, 65, 68] </Try> <Try> 68 + 48 = 116 -> [65, 116] </Try> <State> [65, 116] </State> <Try> 116 - 65 = 51 -> [51] </Try> <State> [51] </State> <answer> ((68 + 48) - 65) = 51 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [4, 52, 53, 62], create an equation that equals 16. You can use basic arithmetic operatio...
<State> [4, 52, 53, 62] </State> <Try> 53 - 52 = 1 -> [4, 52, 53, 62] </Try> <Try> 52 / 4 = 13 -> [4, 52, 53, 62] </Try> <Try> 62 - 52 = 10 -> [4, 52, 53, 62] </Try> <Try> 62 - 53 = 9 -> [4, 9, 52] </Try> <State> [4, 9, 52] </State> <Try> 4 * 9 = 36 -> [36, 52] </Try> <State> [36, 52] </State> <Try> 52 - 36 = 16 -> [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 [67, 19, 17, 18], create an equation that equals 14. You can use basic arithmetic operati...
<State> [17, 18, 19, 67] </State> <Try> 19 - 17 = 2 -> [17, 18, 19, 67] </Try> <Try> 18 - 17 = 1 -> [17, 18, 19, 67] </Try> <Try> 67 - 19 = 48 -> [17, 18, 19, 67] </Try> <Try> 67 + 18 = 85 -> [17, 19, 85] </Try> <State> [17, 19, 85] </State> <Try> 85 / 17 = 5 -> [5, 19] </Try> <State> [5, 19] </State> <Try> 19 - 5 = 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 [25, 30, 83, 23], create an equation that equals 27. You can use basic arithmetic operati...
<State> [23, 25, 30, 83] </State> <Try> 30 - 23 = 7 -> [23, 25, 30, 83] </Try> <Try> 83 - 25 = 58 -> [23, 25, 30, 83] </Try> <Try> 83 - 30 = 53 -> [23, 25, 30, 83] </Try> <Try> 83 - 23 = 60 -> [25, 30, 60] </Try> <State> [25, 30, 60] </State> <Try> 60 / 30 = 2 -> [2, 25] </Try> <State> [2, 25] </State> <Try> 25 + 2 = 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 [1, 23, 34], create an equation that equals 56. You can use basic arithmetic operations (...
<State> [1, 23, 34] </State> <Try> 34 - 23 = 11 -> [1, 23, 34] </Try> <Try> 23 + 34 = 57 -> [1, 57] </Try> <State> [1, 57] </State> <Try> 57 - 1 = 56 -> [56] </Try> <State> [56] </State> <answer> ((23 + 34) - 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 [30, 46, 52, 12], create an equation that equals 84. You can use basic arithmetic operati...
<State> [12, 30, 46, 52] </State> <Try> 52 + 46 = 98 -> [12, 30, 46, 52] </Try> <Try> 52 - 46 = 6 -> [12, 30, 46, 52] </Try> <Try> 30 * 12 = 360 -> [12, 30, 46, 52] </Try> <Try> 30 * 52 = 1560 -> [12, 46, 1560] </Try> <State> [12, 46, 1560] </State> <Try> 1560 / 12 = 130 -> [46, 130] </Try> <State> [46, 130] </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 [99, 74, 71, 44], create an equation that equals 52. You can use basic arithmetic operati...
<State> [44, 71, 74, 99] </State> <Try> 99 - 44 = 55 -> [55, 71, 74] </Try> <State> [55, 71, 74] </State> <Try> 74 - 71 = 3 -> [3, 55] </Try> <State> [3, 55] </State> <Try> 55 - 3 = 52 -> [52] </Try> <State> [52] </State> <answer> ((99 - 44) - (74 - 71)) = 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 [4, 53, 13, 51], create an equation that equals 41. You can use basic arithmetic operatio...
<State> [4, 13, 51, 53] </State> <Try> 51 / 51 = 1 -> [4, 13, 51, 53] </Try> <Try> 51 - 13 = 38 -> [4, 13, 51, 53] </Try> <Try> 51 - 4 = 47 -> [4, 13, 51, 53] </Try> <Try> 53 - 13 = 40 -> [4, 40, 51] </Try> <State> [4, 40, 51] </State> <Try> 40 / 4 = 10 -> [10, 51] </Try> <State> [10, 51] </State> <Try> 51 - 10 = 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 [92, 3, 72, 18], create an equation that equals 78. You can use basic arithmetic operatio...
<State> [3, 18, 72, 92] </State> <Try> 92 + 3 = 95 -> [3, 18, 72, 92] </Try> <Try> 72 + 18 = 90 -> [3, 18, 72, 92] </Try> <Try> 92 - 18 = 74 -> [3, 18, 72, 92] </Try> <Try> 92 - 72 = 20 -> [3, 18, 20] </Try> <State> [3, 18, 20] </State> <Try> 3 * 20 = 60 -> [18, 60] </Try> <State> [18, 60] </State> <Try> 18 + 60 = 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 [99, 57, 51, 24], create an equation that equals 59. You can use basic arithmetic operati...
<State> [24, 51, 57, 99] </State> <Try> 99 - 57 = 42 -> [24, 51, 57, 99] </Try> <Try> 51 + 24 = 75 -> [24, 51, 57, 99] </Try> <Try> 99 - 24 = 75 -> [24, 51, 57, 99] </Try> <Try> 99 - 51 = 48 -> [24, 48, 57] </Try> <State> [24, 48, 57] </State> <Try> 48 / 24 = 2 -> [2, 57] </Try> <State> [2, 57] </State> <Try> 57 + 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 [14, 50, 14], create an equation that equals 51. You can use basic arithmetic operations ...
<State> [14, 14, 50] </State> <Try> 50 + 14 = 64 -> [14, 14, 50] </Try> <Try> 50 - 14 = 36 -> [14, 14, 50] </Try> <Try> 14 + 14 = 28 -> [14, 14, 50] </Try> <Try> 14 / 14 = 1 -> [1, 50] </Try> <State> [1, 50] </State> <Try> 50 + 1 = 51 -> [51] </Try> <State> [51] </State> <answer> (50 + (14 / 14)) = 51 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [25, 29, 30, 35], create an equation that equals 31. You can use basic arithmetic operati...
<State> [25, 29, 30, 35] </State> <Try> 29 - 25 = 4 -> [25, 29, 30, 35] </Try> <Try> 30 - 25 = 5 -> [25, 29, 30, 35] </Try> <Try> 35 - 29 = 6 -> [25, 29, 30, 35] </Try> <Try> 25 + 35 = 60 -> [29, 30, 60] </Try> <State> [29, 30, 60] </State> <Try> 60 / 30 = 2 -> [2, 29] </Try> <State> [2, 29] </State> <Try> 29 + 2 = 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 [27, 88, 36, 69], create an equation that equals 44. You can use basic arithmetic operati...
<State> [27, 36, 69, 88] </State> <Try> 88 - 27 = 61 -> [36, 61, 69] </Try> <State> [36, 61, 69] </State> <Try> 36 + 69 = 105 -> [61, 105] </Try> <State> [61, 105] </State> <Try> 105 - 61 = 44 -> [44] </Try> <State> [44] </State> <answer> ((36 + 69) - (88 - 27)) = 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 [54, 54, 16, 52], create an equation that equals 22. You can use basic arithmetic operati...
<State> [16, 52, 54, 54] </State> <Try> 54 - 54 = 0 -> [16, 52, 54, 54] </Try> <Try> 54 - 52 = 2 -> [2, 16, 54] </Try> <State> [2, 16, 54] </State> <Try> 16 * 2 = 32 -> [32, 54] </Try> <State> [32, 54] </State> <Try> 54 - 32 = 22 -> [22] </Try> <State> [22] </State> <answer> (54 - (16 * (54 - 52))) = 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 [3, 18, 39, 60], create an equation that equals 79. You can use basic arithmetic operatio...
<State> [3, 18, 39, 60] </State> <Try> 60 + 18 = 78 -> [3, 18, 39, 60] </Try> <Try> 60 + 39 = 99 -> [3, 18, 39, 60] </Try> <Try> 60 - 39 = 21 -> [3, 18, 39, 60] </Try> <Try> 18 + 39 = 57 -> [3, 57, 60] </Try> <State> [3, 57, 60] </State> <Try> 57 / 3 = 19 -> [19, 60] </Try> <State> [19, 60] </State> <Try> 60 + 19 = 79 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [78, 28, 56, 61], create an equation that equals 95. You can use basic arithmetic operati...
<State> [28, 56, 61, 78] </State> <Try> 78 + 28 = 106 -> [28, 56, 61, 78] </Try> <Try> 78 - 28 = 50 -> [28, 56, 61, 78] </Try> <Try> 61 + 28 = 89 -> [28, 56, 61, 78] </Try> <Try> 78 * 56 = 4368 -> [28, 61, 4368] </Try> <State> [28, 61, 4368] </State> <Try> 4368 / 28 = 156 -> [61, 156] </Try> <State> [61, 156] </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 [84, 64, 95], create an equation that equals 75. You can use basic arithmetic operations ...
<State> [64, 84, 95] </State> <Try> 95 - 84 = 11 -> [64, 84, 95] </Try> <Try> 95 - 64 = 31 -> [64, 84, 95] </Try> <Try> 84 - 64 = 20 -> [20, 95] </Try> <State> [20, 95] </State> <Try> 95 - 20 = 75 -> [75] </Try> <State> [75] </State> <answer> (95 - (84 - 64)) = 75 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [54, 24, 34, 6], create an equation that equals 49. You can use basic arithmetic operatio...
<State> [6, 24, 34, 54] </State> <Try> 54 - 6 = 48 -> [6, 24, 34, 54] </Try> <Try> 24 / 6 = 4 -> [6, 24, 34, 54] </Try> <Try> 54 - 34 = 20 -> [6, 24, 34, 54] </Try> <Try> 54 / 6 = 9 -> [9, 24, 34] </Try> <State> [9, 24, 34] </State> <Try> 24 + 34 = 58 -> [9, 58] </Try> <State> [9, 58] </State> <Try> 58 - 9 = 49 -> [49]...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [53, 53, 70, 77], create an equation that equals 99. You can use basic arithmetic operati...
<State> [53, 53, 70, 77] </State> <Try> 53 + 53 = 106 -> [70, 77, 106] </Try> <State> [70, 77, 106] </State> <Try> 77 - 70 = 7 -> [7, 106] </Try> <State> [7, 106] </State> <Try> 106 - 7 = 99 -> [99] </Try> <State> [99] </State> <answer> ((53 + 53) - (77 - 70)) = 99 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [92, 43, 32], create an equation that equals 17. You can use basic arithmetic operations ...
<State> [32, 43, 92] </State> <Try> 92 - 43 = 49 -> [32, 49] </Try> <State> [32, 49] </State> <Try> 49 - 32 = 17 -> [17] </Try> <State> [17] </State> <answer> ((92 - 43) - 32) = 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 [71, 42, 45, 64], create an equation that equals 48. You can use basic arithmetic operati...
<State> [42, 45, 64, 71] </State> <Try> 71 - 64 = 7 -> [42, 45, 64, 71] </Try> <Try> 64 - 45 = 19 -> [19, 42, 71] </Try> <State> [19, 42, 71] </State> <Try> 71 - 42 = 29 -> [19, 29] </Try> <State> [19, 29] </State> <Try> 19 + 29 = 48 -> [48] </Try> <State> [48] </State> <answer> ((64 - 45) + (71 - 42)) = 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 [6, 11, 52], create an equation that equals 57. You can use basic arithmetic operations (...
<State> [6, 11, 52] </State> <Try> 52 - 11 = 41 -> [6, 11, 52] </Try> <Try> 52 + 6 = 58 -> [6, 11, 52] </Try> <Try> 11 + 6 = 17 -> [6, 11, 52] </Try> <Try> 52 + 11 = 63 -> [6, 63] </Try> <State> [6, 63] </State> <Try> 63 - 6 = 57 -> [57] </Try> <State> [57] </State> <answer> ((52 + 11) - 6) = 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 [18, 6, 13, 13], create an equation that equals 50. You can use basic arithmetic operatio...
<State> [6, 13, 13, 18] </State> <Try> 13 + 13 = 26 -> [6, 13, 13, 18] </Try> <Try> 18 * 6 = 108 -> [6, 13, 13, 18] </Try> <Try> 18 + 6 = 24 -> [6, 13, 13, 18] </Try> <Try> 18 + 13 = 31 -> [6, 13, 31] </Try> <State> [6, 13, 31] </State> <Try> 31 + 13 = 44 -> [6, 44] </Try> <State> [6, 44] </State> <Try> 44 + 6 = 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 [4, 50, 46, 21], create an equation that equals 45. You can use basic arithmetic operatio...
<State> [4, 21, 46, 50] </State> <Try> 50 - 46 = 4 -> [4, 21, 46, 50] </Try> <Try> 50 - 21 = 29 -> [4, 21, 46, 50] </Try> <Try> 4 * 21 = 84 -> [4, 21, 46, 50] </Try> <Try> 50 + 46 = 96 -> [4, 21, 96] </Try> <State> [4, 21, 96] </State> <Try> 96 / 4 = 24 -> [21, 24] </Try> <State> [21, 24] </State> <Try> 21 + 24 = 45 ->...
A conversation between User and Assistant. The user asks a question, and 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, 77, 18, 4], create an equation that equals 99. You can use basic arithmetic operatio...
<State> [4, 18, 56, 77] </State> <Try> 77 + 18 = 95 -> [4, 18, 56, 77] </Try> <Try> 77 - 18 = 59 -> [4, 18, 56, 77] </Try> <Try> 56 - 18 = 38 -> [4, 18, 56, 77] </Try> <Try> 56 / 4 = 14 -> [14, 18, 77] </Try> <State> [14, 18, 77] </State> <Try> 77 * 18 = 1386 -> [14, 1386] </Try> <State> [14, 1386] </State> <Try> 1386 ...
A conversation between User and Assistant. The user asks a question, and 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, 9, 8], create an equation that equals 81. You can use basic arithmetic operations (+...
<State> [8, 9, 82] </State> <Try> 9 / 9 = 1 -> [8, 9, 82] </Try> <Try> 8 / 8 = 1 -> [8, 9, 82] </Try> <Try> 82 - 8 = 74 -> [8, 9, 82] </Try> <Try> 82 - 9 = 73 -> [8, 73] </Try> <State> [8, 73] </State> <Try> 73 + 8 = 81 -> [81] </Try> <State> [81] </State> <answer> ((82 - 9) + 8) = 81 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [26, 6, 80, 82], create an equation that equals 46. You can use basic arithmetic operatio...
<State> [6, 26, 80, 82] </State> <Try> 26 + 6 = 32 -> [6, 26, 80, 82] </Try> <Try> 26 * 6 = 156 -> [6, 26, 80, 82] </Try> <Try> 82 - 26 = 56 -> [6, 26, 80, 82] </Try> <Try> 82 - 80 = 2 -> [2, 6, 26] </Try> <State> [2, 6, 26] </State> <Try> 26 * 2 = 52 -> [6, 52] </Try> <State> [6, 52] </State> <Try> 52 - 6 = 46 -> [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 [41, 9, 82], create an equation that equals 11. You can use basic arithmetic operations (...
<State> [9, 41, 82] </State> <Try> 82 / 41 = 2 -> [2, 9] </Try> <State> [2, 9] </State> <Try> 9 + 2 = 11 -> [11] </Try> <State> [11] </State> <answer> (9 + (82 / 41)) = 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 [84, 65, 50, 26], create an equation that equals 57. You can use basic arithmetic operati...
<State> [26, 50, 65, 84] </State> <Try> 84 - 26 = 58 -> [26, 50, 65, 84] </Try> <Try> 65 - 50 = 15 -> [26, 50, 65, 84] </Try> <Try> 84 - 65 = 19 -> [19, 26, 50] </Try> <State> [19, 26, 50] </State> <Try> 50 + 26 = 76 -> [19, 76] </Try> <State> [19, 76] </State> <Try> 76 - 19 = 57 -> [57] </Try> <State> [57] </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 [72, 27, 29, 41], create an equation that equals 10. You can use basic arithmetic operati...
<State> [27, 29, 41, 72] </State> <Try> 27 + 29 = 56 -> [27, 29, 41, 72] </Try> <Try> 41 - 29 = 12 -> [27, 29, 41, 72] </Try> <Try> 41 - 27 = 14 -> [27, 29, 41, 72] </Try> <Try> 29 - 27 = 2 -> [2, 41, 72] </Try> <State> [2, 41, 72] </State> <Try> 41 * 2 = 82 -> [72, 82] </Try> <State> [72, 82] </State> <Try> 82 - 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 [50, 37, 87, 31], create an equation that equals 46. You can use basic arithmetic operati...
<State> [31, 37, 50, 87] </State> <Try> 87 - 37 = 50 -> [31, 37, 50, 87] </Try> <Try> 87 - 50 = 37 -> [31, 37, 50, 87] </Try> <Try> 50 - 31 = 19 -> [31, 37, 50, 87] </Try> <Try> 37 + 87 = 124 -> [31, 50, 124] </Try> <State> [31, 50, 124] </State> <Try> 124 / 31 = 4 -> [4, 50] </Try> <State> [4, 50] </State> <Try> 50 - ...