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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 [98, 90, 30, 3], create an equation that equals 35. You can use basic arithmetic operatio...
<State> [3, 30, 90, 98] </State> <Try> 90 / 3 = 30 -> [3, 30, 90, 98] </Try> <Try> 90 / 30 = 3 -> [3, 30, 90, 98] </Try> <Try> 98 - 3 = 95 -> [3, 30, 90, 98] </Try> <Try> 98 - 90 = 8 -> [3, 8, 30] </Try> <State> [3, 8, 30] </State> <Try> 30 - 3 = 27 -> [8, 27] </Try> <State> [8, 27] </State> <Try> 8 + 27 = 35 -> [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 [35, 68, 37, 94], create an equation that equals 90. You can use basic arithmetic operati...
<State> [35, 37, 68, 94] </State> <Try> 94 - 68 = 26 -> [35, 37, 68, 94] </Try> <Try> 94 - 35 = 59 -> [35, 37, 68, 94] </Try> <Try> 68 - 37 = 31 -> [35, 37, 68, 94] </Try> <Try> 68 - 35 = 33 -> [33, 37, 94] </Try> <State> [33, 37, 94] </State> <Try> 94 - 37 = 57 -> [33, 57] </Try> <State> [33, 57] </State> <Try> 33 + 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 [9, 84, 9], create an equation that equals 84. You can use basic arithmetic operations (+...
<State> [9, 9, 84] </State> <Try> 9 / 9 = 1 -> [1, 84] </Try> <State> [1, 84] </State> <Try> 1 * 84 = 84 -> [84] </Try> <State> [84] </State> <answer> ((9 / 9) * 84) = 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 [70, 65, 5, 41], create an equation that equals 51. You can use basic arithmetic operatio...
<State> [5, 41, 65, 70] </State> <Try> 70 - 65 = 5 -> [5, 5, 41] </Try> <State> [5, 5, 41] </State> <Try> 5 + 5 = 10 -> [10, 41] </Try> <State> [10, 41] </State> <Try> 10 + 41 = 51 -> [51] </Try> <State> [51] </State> <answer> (((70 - 65) + (70 - 65)) + 41) = 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 [7, 11, 36, 86], create an equation that equals 22. You can use basic arithmetic operatio...
<State> [7, 11, 36, 86] </State> <Try> 86 - 36 = 50 -> [7, 11, 36, 86] </Try> <Try> 7 + 36 = 43 -> [11, 43, 86] </Try> <State> [11, 43, 86] </State> <Try> 11 * 86 = 946 -> [43, 946] </Try> <State> [43, 946] </State> <Try> 946 / 43 = 22 -> [22] </Try> <State> [22] </State> <answer> ((11 * 86) / (7 + 36)) = 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 [5, 11, 79], create an equation that equals 85. You can use basic arithmetic operations (...
<State> [5, 11, 79] </State> <Try> 79 + 11 = 90 -> [5, 11, 79] </Try> <Try> 79 + 5 = 84 -> [5, 11, 79] </Try> <Try> 79 - 5 = 74 -> [5, 11, 79] </Try> <Try> 11 - 5 = 6 -> [6, 79] </Try> <State> [6, 79] </State> <Try> 6 + 79 = 85 -> [85] </Try> <State> [85] </State> <answer> ((11 - 5) + 79) = 85 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [66, 95, 93, 62], create an equation that equals 35. You can use basic arithmetic operati...
<State> [62, 66, 93, 95] </State> <Try> 93 - 62 = 31 -> [62, 66, 93, 95] </Try> <Try> 95 - 66 = 29 -> [62, 66, 93, 95] </Try> <Try> 95 - 62 = 33 -> [62, 66, 93, 95] </Try> <Try> 95 - 93 = 2 -> [2, 62, 66] </Try> <State> [2, 62, 66] </State> <Try> 62 / 2 = 31 -> [31, 66] </Try> <State> [31, 66] </State> <Try> 66 - 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 [28, 39, 83, 41], create an equation that equals 57. You can use basic arithmetic operati...
<State> [28, 39, 41, 83] </State> <Try> 83 - 41 = 42 -> [28, 39, 41, 83] </Try> <Try> 83 - 39 = 44 -> [28, 39, 41, 83] </Try> <Try> 83 - 28 = 55 -> [39, 41, 55] </Try> <State> [39, 41, 55] </State> <Try> 41 - 39 = 2 -> [2, 55] </Try> <State> [2, 55] </State> <Try> 55 + 2 = 57 -> [57] </Try> <State> [57] </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 [76, 19, 59], create an equation that equals 36. You can use basic arithmetic operations ...
<State> [19, 59, 76] </State> <Try> 76 - 59 = 17 -> [19, 59, 76] </Try> <Try> 76 - 19 = 57 -> [19, 59, 76] </Try> <Try> 59 - 19 = 40 -> [19, 59, 76] </Try> <Try> 76 + 19 = 95 -> [59, 95] </Try> <State> [59, 95] </State> <Try> 95 - 59 = 36 -> [36] </Try> <State> [36] </State> <answer> ((76 + 19) - 59) = 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 [76, 61, 34, 80], create an equation that equals 30. You can use basic arithmetic operati...
<State> [34, 61, 76, 80] </State> <Try> 76 - 61 = 15 -> [34, 61, 76, 80] </Try> <Try> 80 - 34 = 46 -> [34, 61, 76, 80] </Try> <Try> 80 - 76 = 4 -> [34, 61, 76, 80] </Try> <Try> 80 - 61 = 19 -> [19, 34, 76] </Try> <State> [19, 34, 76] </State> <Try> 76 / 19 = 4 -> [4, 34] </Try> <State> [4, 34] </State> <Try> 34 - 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 [8, 80, 44], create an equation that equals 34. You can use basic arithmetic operations (...
<State> [8, 44, 80] </State> <Try> 80 - 44 = 36 -> [8, 44, 80] </Try> <Try> 44 - 8 = 36 -> [8, 44, 80] </Try> <Try> 80 / 8 = 10 -> [10, 44] </Try> <State> [10, 44] </State> <Try> 44 - 10 = 34 -> [34] </Try> <State> [34] </State> <answer> (44 - (80 / 8)) = 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 [13, 86, 48, 94], create an equation that equals 43. You can use basic arithmetic operati...
<State> [13, 48, 86, 94] </State> <Try> 94 - 48 = 46 -> [13, 48, 86, 94] </Try> <Try> 86 - 48 = 38 -> [13, 48, 86, 94] </Try> <Try> 13 + 86 = 99 -> [48, 94, 99] </Try> <State> [48, 94, 99] </State> <Try> 48 + 94 = 142 -> [99, 142] </Try> <State> [99, 142] </State> <Try> 142 - 99 = 43 -> [43] </Try> <State> [43] </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 [78, 35, 65, 15], create an equation that equals 70. You can use basic arithmetic operati...
<State> [15, 35, 65, 78] </State> <Try> 78 - 15 = 63 -> [15, 35, 65, 78] </Try> <Try> 65 + 15 = 80 -> [15, 35, 65, 78] </Try> <Try> 15 * 35 = 525 -> [15, 35, 65, 78] </Try> <Try> 78 - 65 = 13 -> [13, 15, 35] </Try> <State> [13, 15, 35] </State> <Try> 15 - 13 = 2 -> [2, 35] </Try> <State> [2, 35] </State> <Try> 35 * 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 [41, 25, 20, 93], create an equation that equals 47. You can use basic arithmetic operati...
<State> [20, 25, 41, 93] </State> <Try> 93 - 41 = 52 -> [20, 25, 41, 93] </Try> <Try> 93 - 25 = 68 -> [20, 25, 41, 93] </Try> <Try> 41 + 20 = 61 -> [20, 25, 41, 93] </Try> <Try> 25 - 20 = 5 -> [5, 41, 93] </Try> <State> [5, 41, 93] </State> <Try> 41 + 5 = 46 -> [46, 93] </Try> <State> [46, 93] </State> <Try> 93 - 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 [19, 37, 60, 18], create an equation that equals 24. You can use basic arithmetic operati...
<State> [18, 19, 37, 60] </State> <Try> 37 - 19 = 18 -> [18, 19, 37, 60] </Try> <Try> 60 - 37 = 23 -> [18, 19, 23] </Try> <State> [18, 19, 23] </State> <Try> 23 + 19 = 42 -> [18, 42] </Try> <State> [18, 42] </State> <Try> 42 - 18 = 24 -> [24] </Try> <State> [24] </State> <answer> (((60 - 37) + 19) - 18) = 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 [36, 24, 84, 30], create an equation that equals 54. You can use basic arithmetic operati...
<State> [24, 30, 36, 84] </State> <Try> 84 - 30 = 54 -> [24, 30, 36, 84] </Try> <Try> 36 - 24 = 12 -> [24, 30, 36, 84] </Try> <Try> 84 - 36 = 48 -> [24, 30, 36, 84] </Try> <Try> 36 + 24 = 60 -> [30, 60, 84] </Try> <State> [30, 60, 84] </State> <Try> 84 + 30 = 114 -> [60, 114] </Try> <State> [60, 114] </State> <Try> 114...
A conversation between User and Assistant. The user asks a question, and 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, 42, 75, 46], create an equation that equals 55. You can use basic arithmetic operatio...
<State> [2, 42, 46, 75] </State> <Try> 42 + 2 = 44 -> [2, 42, 46, 75] </Try> <Try> 75 - 42 = 33 -> [2, 42, 46, 75] </Try> <Try> 46 + 2 = 48 -> [2, 42, 46, 75] </Try> <Try> 2 * 42 = 84 -> [46, 75, 84] </Try> <State> [46, 75, 84] </State> <Try> 75 - 46 = 29 -> [29, 84] </Try> <State> [29, 84] </State> <Try> 84 - 29 = 55 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [29, 36, 15, 69], create an equation that equals 19. You can use basic arithmetic operati...
<State> [15, 29, 36, 69] </State> <Try> 69 - 36 = 33 -> [15, 29, 33] </Try> <State> [15, 29, 33] </State> <Try> 29 - 15 = 14 -> [14, 33] </Try> <State> [14, 33] </State> <Try> 33 - 14 = 19 -> [19] </Try> <State> [19] </State> <answer> ((69 - 36) - (29 - 15)) = 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 [41, 33, 4, 53], create an equation that equals 81. You can use basic arithmetic operatio...
<State> [4, 33, 41, 53] </State> <Try> 33 * 4 = 132 -> [4, 33, 41, 53] </Try> <Try> 53 - 33 = 20 -> [4, 33, 41, 53] </Try> <Try> 41 + 33 = 74 -> [4, 33, 41, 53] </Try> <Try> 53 - 41 = 12 -> [4, 12, 33] </Try> <State> [4, 12, 33] </State> <Try> 4 * 12 = 48 -> [33, 48] </Try> <State> [33, 48] </State> <Try> 33 + 48 = 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 [2, 36, 3, 99], create an equation that equals 39. You can use basic arithmetic operation...
<State> [2, 3, 36, 99] </State> <Try> 36 + 3 = 39 -> [2, 3, 36, 99] </Try> <Try> 36 / 2 = 18 -> [2, 3, 36, 99] </Try> <Try> 99 - 36 = 63 -> [2, 3, 36, 99] </Try> <Try> 2 * 36 = 72 -> [3, 72, 99] </Try> <State> [3, 72, 99] </State> <Try> 99 / 3 = 33 -> [33, 72] </Try> <State> [33, 72] </State> <Try> 72 - 33 = 39 -> [39]...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [38, 52, 14, 89], create an equation that equals 89. You can use basic arithmetic operati...
<State> [14, 38, 52, 89] </State> <Try> 38 + 52 = 90 -> [14, 38, 52, 89] </Try> <Try> 38 - 14 = 24 -> [14, 38, 52, 89] </Try> <Try> 52 - 14 = 38 -> [14, 38, 52, 89] </Try> <Try> 89 - 52 = 37 -> [14, 37, 38] </Try> <State> [14, 37, 38] </State> <Try> 37 + 14 = 51 -> [38, 51] </Try> <State> [38, 51] </State> <Try> 51 + 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 [65, 76, 74, 19], create an equation that equals 66. You can use basic arithmetic operati...
<State> [19, 65, 74, 76] </State> <Try> 76 - 74 = 2 -> [19, 65, 74, 76] </Try> <Try> 76 / 19 = 4 -> [19, 65, 74, 76] </Try> <Try> 19 / 19 = 1 -> [19, 65, 74, 76] </Try> <Try> 76 - 65 = 11 -> [11, 19, 74] </Try> <State> [11, 19, 74] </State> <Try> 74 - 19 = 55 -> [11, 55] </Try> <State> [11, 55] </State> <Try> 11 + 55 =...
A conversation between User and Assistant. The user asks a question, and 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, 8, 3, 32], create an equation that equals 43. You can use basic arithmetic operation...
<State> [3, 8, 32, 61] </State> <Try> 61 - 32 = 29 -> [3, 8, 32, 61] </Try> <Try> 32 + 8 = 40 -> [3, 8, 32, 61] </Try> <Try> 8 * 3 = 24 -> [3, 8, 32, 61] </Try> <Try> 32 * 3 = 96 -> [8, 61, 96] </Try> <State> [8, 61, 96] </State> <Try> 96 - 61 = 35 -> [8, 35] </Try> <State> [8, 35] </State> <Try> 35 + 8 = 43 -> [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 [52, 68, 17, 93], create an equation that equals 44. You can use basic arithmetic operati...
<State> [17, 52, 68, 93] </State> <Try> 68 - 17 = 51 -> [17, 52, 68, 93] </Try> <Try> 52 - 17 = 35 -> [17, 52, 68, 93] </Try> <Try> 93 - 52 = 41 -> [17, 52, 68, 93] </Try> <Try> 52 + 68 = 120 -> [17, 93, 120] </Try> <State> [17, 93, 120] </State> <Try> 93 - 17 = 76 -> [76, 120] </Try> <State> [76, 120] </State> <Try> 1...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [75, 85, 40, 5], create an equation that equals 92. You can use basic arithmetic operatio...
<State> [5, 40, 75, 85] </State> <Try> 85 + 5 = 90 -> [5, 40, 75, 85] </Try> <Try> 75 + 85 = 160 -> [5, 40, 75, 85] </Try> <Try> 85 - 75 = 10 -> [5, 40, 75, 85] </Try> <Try> 75 - 40 = 35 -> [5, 35, 85] </Try> <State> [5, 35, 85] </State> <Try> 35 / 5 = 7 -> [7, 85] </Try> <State> [7, 85] </State> <Try> 7 + 85 = 92 -> [...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [63, 62, 33], create an equation that equals 33. You can use basic arithmetic operations ...
<State> [33, 62, 63] </State> <Try> 63 - 62 = 1 -> [1, 33] </Try> <State> [1, 33] </State> <Try> 1 * 33 = 33 -> [33] </Try> <State> [33] </State> <answer> ((63 - 62) * 33) = 33 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [36, 73, 50, 34], create an equation that equals 46. You can use basic arithmetic operati...
<State> [34, 36, 50, 73] </State> <Try> 73 - 34 = 39 -> [34, 36, 50, 73] </Try> <Try> 50 - 36 = 14 -> [34, 36, 50, 73] </Try> <Try> 36 + 34 = 70 -> [34, 36, 50, 73] </Try> <Try> 36 - 34 = 2 -> [2, 50, 73] </Try> <State> [2, 50, 73] </State> <Try> 73 - 50 = 23 -> [2, 23] </Try> <State> [2, 23] </State> <Try> 2 * 23 = 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 [7, 56, 2, 50], create an equation that equals 85. You can use basic arithmetic operation...
<State> [2, 7, 50, 56] </State> <Try> 56 + 7 = 63 -> [2, 7, 50, 56] </Try> <Try> 7 * 2 = 14 -> [2, 7, 50, 56] </Try> <Try> 50 + 56 = 106 -> [2, 7, 50, 56] </Try> <Try> 7 + 50 = 57 -> [2, 56, 57] </Try> <State> [2, 56, 57] </State> <Try> 56 / 2 = 28 -> [28, 57] </Try> <State> [28, 57] </State> <Try> 57 + 28 = 85 -> [85]...
A conversation between User and Assistant. The user asks a question, and 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, 92, 80, 46], create an equation that equals 82. You can use basic arithmetic operati...
<State> [46, 46, 80, 92] </State> <Try> 46 + 46 = 92 -> [46, 46, 80, 92] </Try> <Try> 92 - 80 = 12 -> [46, 46, 80, 92] </Try> <Try> 92 - 46 = 46 -> [46, 46, 80, 92] </Try> <Try> 46 * 80 = 3680 -> [46, 92, 3680] </Try> <State> [46, 92, 3680] </State> <Try> 92 + 3680 = 3772 -> [46, 3772] </Try> <State> [46, 3772] </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 [61, 32, 15, 4], create an equation that equals 68. You can use basic arithmetic operatio...
<State> [4, 15, 32, 61] </State> <Try> 61 + 4 = 65 -> [4, 15, 32, 61] </Try> <Try> 4 * 15 = 60 -> [4, 15, 32, 61] </Try> <Try> 32 + 15 = 47 -> [4, 15, 32, 61] </Try> <Try> 61 + 15 = 76 -> [4, 32, 76] </Try> <State> [4, 32, 76] </State> <Try> 32 / 4 = 8 -> [8, 76] </Try> <State> [8, 76] </State> <Try> 76 - 8 = 68 -> [68...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [35, 57, 1, 38], create an equation that equals 55. You can use basic arithmetic operatio...
<State> [1, 35, 38, 57] </State> <Try> 57 - 1 = 56 -> [1, 35, 38, 57] </Try> <Try> 38 - 35 = 3 -> [1, 3, 57] </Try> <State> [1, 3, 57] </State> <Try> 57 - 3 = 54 -> [1, 54] </Try> <State> [1, 54] </State> <Try> 54 + 1 = 55 -> [55] </Try> <State> [55] </State> <answer> ((57 - (38 - 35)) + 1) = 55 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [76, 18, 97, 7], create an equation that equals 15. You can use basic arithmetic operatio...
<State> [7, 18, 76, 97] </State> <Try> 18 - 7 = 11 -> [7, 18, 76, 97] </Try> <Try> 97 - 76 = 21 -> [7, 18, 21] </Try> <State> [7, 18, 21] </State> <Try> 21 / 7 = 3 -> [3, 18] </Try> <State> [3, 18] </State> <Try> 18 - 3 = 15 -> [15] </Try> <State> [15] </State> <answer> (18 - ((97 - 76) / 7)) = 15 </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, 21, 61, 27], create an equation that equals 38. You can use basic arithmetic operati...
<State> [21, 27, 61, 93] </State> <Try> 93 - 61 = 32 -> [21, 27, 32] </Try> <State> [21, 27, 32] </State> <Try> 27 - 21 = 6 -> [6, 32] </Try> <State> [6, 32] </State> <Try> 32 + 6 = 38 -> [38] </Try> <State> [38] </State> <answer> ((93 - 61) + (27 - 21)) = 38 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [81, 9, 33, 14], create an equation that equals 53. You can use basic arithmetic operatio...
<State> [9, 14, 33, 81] </State> <Try> 81 / 9 = 9 -> [9, 14, 33, 81] </Try> <Try> 33 + 14 = 47 -> [9, 14, 33, 81] </Try> <Try> 33 - 14 = 19 -> [9, 14, 33, 81] </Try> <Try> 81 - 33 = 48 -> [9, 14, 48] </Try> <State> [9, 14, 48] </State> <Try> 48 + 14 = 62 -> [9, 62] </Try> <State> [9, 62] </State> <Try> 62 - 9 = 53 -> [...
A conversation between User and Assistant. The user asks a question, and 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, 29, 58, 15], create an equation that equals 87. You can use basic arithmetic operatio...
<State> [6, 15, 29, 58] </State> <Try> 58 + 29 = 87 -> [6, 15, 29, 58] </Try> <Try> 6 * 58 = 348 -> [15, 29, 348] </Try> <State> [15, 29, 348] </State> <Try> 29 * 15 = 435 -> [348, 435] </Try> <State> [348, 435] </State> <Try> 435 - 348 = 87 -> [87] </Try> <State> [87] </State> <answer> ((29 * 15) - (6 * 58)) = 87 </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 [57, 51, 92], create an equation that equals 98. You can use basic arithmetic operations ...
<State> [51, 57, 92] </State> <Try> 57 - 51 = 6 -> [6, 92] </Try> <State> [6, 92] </State> <Try> 92 + 6 = 98 -> [98] </Try> <State> [98] </State> <answer> (92 + (57 - 51)) = 98 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [81, 65, 58], create an equation that equals 74. You can use basic arithmetic operations ...
<State> [58, 65, 81] </State> <Try> 81 - 58 = 23 -> [58, 65, 81] </Try> <Try> 65 - 58 = 7 -> [58, 65, 81] </Try> <Try> 65 + 58 = 123 -> [58, 65, 81] </Try> <Try> 81 - 65 = 16 -> [16, 58] </Try> <State> [16, 58] </State> <Try> 16 + 58 = 74 -> [74] </Try> <State> [74] </State> <answer> ((81 - 65) + 58) = 74 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [83, 61, 58, 43], create an equation that equals 79. You can use basic arithmetic operati...
<State> [43, 58, 61, 83] </State> <Try> 61 - 58 = 3 -> [43, 58, 61, 83] </Try> <Try> 83 - 61 = 22 -> [22, 43, 58] </Try> <State> [22, 43, 58] </State> <Try> 58 + 43 = 101 -> [22, 101] </Try> <State> [22, 101] </State> <Try> 101 - 22 = 79 -> [79] </Try> <State> [79] </State> <answer> ((58 + 43) - (83 - 61)) = 79 </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 [21, 63, 32, 81], create an equation that equals 46. You can use basic arithmetic operati...
<State> [21, 32, 63, 81] </State> <Try> 63 - 21 = 42 -> [21, 32, 63, 81] </Try> <Try> 81 - 32 = 49 -> [21, 49, 63] </Try> <State> [21, 49, 63] </State> <Try> 63 / 21 = 3 -> [3, 49] </Try> <State> [3, 49] </State> <Try> 49 - 3 = 46 -> [46] </Try> <State> [46] </State> <answer> ((81 - 32) - (63 / 21)) = 46 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [53, 70, 92, 78], create an equation that equals 48. You can use basic arithmetic operati...
<State> [53, 70, 78, 92] </State> <Try> 70 - 53 = 17 -> [53, 70, 78, 92] </Try> <Try> 92 - 78 = 14 -> [14, 53, 70] </Try> <State> [14, 53, 70] </State> <Try> 70 / 14 = 5 -> [5, 53] </Try> <State> [5, 53] </State> <Try> 53 - 5 = 48 -> [48] </Try> <State> [48] </State> <answer> (53 - (70 / (92 - 78))) = 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 [61, 79, 22, 35], create an equation that equals 31. You can use basic arithmetic operati...
<State> [22, 35, 61, 79] </State> <Try> 79 - 61 = 18 -> [18, 22, 35] </Try> <State> [18, 22, 35] </State> <Try> 18 + 35 = 53 -> [22, 53] </Try> <State> [22, 53] </State> <Try> 53 - 22 = 31 -> [31] </Try> <State> [31] </State> <answer> (((79 - 61) + 35) - 22) = 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 [67, 55, 80], create an equation that equals 42. You can use basic arithmetic operations ...
<State> [55, 67, 80] </State> <Try> 67 - 55 = 12 -> [55, 67, 80] </Try> <Try> 80 - 67 = 13 -> [55, 67, 80] </Try> <Try> 80 - 55 = 25 -> [55, 67, 80] </Try> <Try> 55 - 80 = -25 -> [-25, 67] </Try> <State> [-25, 67] </State> <Try> -25 + 67 = 42 -> [42] </Try> <State> [42] </State> <answer> ((55 - 80) + 67) = 42 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [1, 81, 20], create an equation that equals 100. You can use basic arithmetic operations ...
<State> [1, 20, 81] </State> <Try> 20 - 1 = 19 -> [19, 81] </Try> <State> [19, 81] </State> <Try> 19 + 81 = 100 -> [100] </Try> <State> [100] </State> <answer> ((20 - 1) + 81) = 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 [77, 55, 62], create an equation that equals 40. You can use basic arithmetic operations ...
<State> [55, 62, 77] </State> <Try> 77 - 62 = 15 -> [55, 62, 77] </Try> <Try> 62 - 55 = 7 -> [55, 62, 77] </Try> <Try> 77 * 55 = 4235 -> [55, 62, 77] </Try> <Try> 77 - 55 = 22 -> [22, 62] </Try> <State> [22, 62] </State> <Try> 62 - 22 = 40 -> [40] </Try> <State> [40] </State> <answer> (62 - (77 - 55)) = 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 [23, 38, 40, 68], create an equation that equals 33. You can use basic arithmetic operati...
<State> [23, 38, 40, 68] </State> <Try> 68 - 38 = 30 -> [23, 38, 40, 68] </Try> <Try> 40 - 23 = 17 -> [23, 38, 40, 68] </Try> <Try> 38 - 23 = 15 -> [23, 38, 40, 68] </Try> <Try> 23 + 38 = 61 -> [40, 61, 68] </Try> <State> [40, 61, 68] </State> <Try> 68 - 40 = 28 -> [28, 61] </Try> <State> [28, 61] </State> <Try> 61 - 2...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [10, 41, 37], create an equation that equals 40. You can use basic arithmetic operations ...
<State> [10, 37, 41] </State> <Try> 41 + 37 = 78 -> [10, 37, 41] </Try> <Try> 37 * 10 = 370 -> [10, 37, 41] </Try> <Try> 41 * 10 = 410 -> [10, 37, 41] </Try> <Try> 41 - 37 = 4 -> [4, 10] </Try> <State> [4, 10] </State> <Try> 4 * 10 = 40 -> [40] </Try> <State> [40] </State> <answer> ((41 - 37) * 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 [58, 2, 18, 62], create an equation that equals 73. You can use basic arithmetic operatio...
<State> [2, 18, 58, 62] </State> <Try> 62 + 18 = 80 -> [2, 18, 58, 62] </Try> <Try> 58 + 18 = 76 -> [2, 18, 58, 62] </Try> <Try> 2 * 18 = 36 -> [2, 18, 58, 62] </Try> <Try> 58 / 2 = 29 -> [18, 29, 62] </Try> <State> [18, 29, 62] </State> <Try> 62 - 18 = 44 -> [29, 44] </Try> <State> [29, 44] </State> <Try> 29 + 44 = 73...
A conversation between User and Assistant. The user asks a question, and 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, 5, 33, 7], create an equation that equals 28. You can use basic arithmetic operation...
<State> [5, 7, 24, 33] </State> <Try> 5 * 7 = 35 -> [5, 7, 24, 33] </Try> <Try> 33 - 5 = 28 -> [5, 7, 24, 33] </Try> <Try> 24 + 5 = 29 -> [7, 29, 33] </Try> <State> [7, 29, 33] </State> <Try> 33 - 29 = 4 -> [4, 7] </Try> <State> [4, 7] </State> <Try> 7 * 4 = 28 -> [28] </Try> <State> [28] </State> <answer> (7 * (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 [12, 29, 15, 13], create an equation that equals 15. You can use basic arithmetic operati...
<State> [12, 13, 15, 29] </State> <Try> 29 - 13 = 16 -> [12, 13, 15, 29] </Try> <Try> 12 * 13 = 156 -> [12, 13, 15, 29] </Try> <Try> 29 - 15 = 14 -> [12, 13, 15, 29] </Try> <Try> 29 - 12 = 17 -> [13, 15, 17] </Try> <State> [13, 15, 17] </State> <Try> 15 - 13 = 2 -> [2, 17] </Try> <State> [2, 17] </State> <Try> 17 - 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 [8, 86, 44, 4], create an equation that equals 65. You can use basic arithmetic operation...
<State> [4, 8, 44, 86] </State> <Try> 86 - 44 = 42 -> [4, 8, 44, 86] </Try> <Try> 86 - 8 = 78 -> [4, 8, 44, 86] </Try> <Try> 86 - 4 = 82 -> [4, 8, 44, 86] </Try> <Try> 8 / 4 = 2 -> [2, 44, 86] </Try> <State> [2, 44, 86] </State> <Try> 86 + 44 = 130 -> [2, 130] </Try> <State> [2, 130] </State> <Try> 130 / 2 = 65 -> [65]...
A conversation between User and Assistant. The user asks a question, and 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, 16, 13], create an equation that equals 67. You can use basic arithmetic operatio...
<State> [8, 13, 16, 74] </State> <Try> 74 - 8 = 66 -> [8, 13, 16, 74] </Try> <Try> 74 * 8 = 592 -> [8, 13, 16, 74] </Try> <Try> 16 - 13 = 3 -> [8, 13, 16, 74] </Try> <Try> 74 - 13 = 61 -> [8, 16, 61] </Try> <State> [8, 16, 61] </State> <Try> 8 * 16 = 128 -> [61, 128] </Try> <State> [61, 128] </State> <Try> 128 - 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 [61, 31, 47, 91], create an equation that equals 45. You can use basic arithmetic operati...
<State> [31, 47, 61, 91] </State> <Try> 91 - 47 = 44 -> [31, 47, 61, 91] </Try> <Try> 61 - 31 = 30 -> [31, 47, 61, 91] </Try> <Try> 61 - 47 = 14 -> [31, 47, 61, 91] </Try> <Try> 31 + 91 = 122 -> [47, 61, 122] </Try> <State> [47, 61, 122] </State> <Try> 122 / 61 = 2 -> [2, 47] </Try> <State> [2, 47] </State> <Try> 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 [68, 72, 54, 24], create an equation that equals 74. You can use basic arithmetic operati...
<State> [24, 54, 68, 72] </State> <Try> 72 + 24 = 96 -> [24, 54, 68, 72] </Try> <Try> 72 - 24 = 48 -> [24, 54, 68, 72] </Try> <Try> 68 + 24 = 92 -> [24, 54, 68, 72] </Try> <Try> 72 - 68 = 4 -> [4, 24, 54] </Try> <State> [4, 24, 54] </State> <Try> 54 + 24 = 78 -> [4, 78] </Try> <State> [4, 78] </State> <Try> 78 - 4 = 74...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [81, 71, 69, 92], create an equation that equals 37. You can use basic arithmetic operati...
<State> [69, 71, 81, 92] </State> <Try> 92 - 71 = 21 -> [69, 71, 81, 92] </Try> <Try> 81 - 69 = 12 -> [69, 71, 81, 92] </Try> <Try> 92 - 81 = 11 -> [69, 71, 81, 92] </Try> <Try> 81 * 92 = 7452 -> [69, 71, 7452] </Try> <State> [69, 71, 7452] </State> <Try> 7452 / 69 = 108 -> [71, 108] </Try> <State> [71, 108] </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 [40, 27, 96, 7], create an equation that equals 48. You can use basic arithmetic operatio...
<State> [7, 27, 40, 96] </State> <Try> 40 - 27 = 13 -> [7, 27, 40, 96] </Try> <Try> 40 - 7 = 33 -> [7, 27, 40, 96] </Try> <Try> 27 - 7 = 20 -> [20, 40, 96] </Try> <State> [20, 40, 96] </State> <Try> 40 / 20 = 2 -> [2, 96] </Try> <State> [2, 96] </State> <Try> 96 / 2 = 48 -> [48] </Try> <State> [48] </State> <answer> (9...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [23, 80, 36, 73], create an equation that equals 91. You can use basic arithmetic operati...
<State> [23, 36, 73, 80] </State> <Try> 23 + 73 = 96 -> [23, 36, 73, 80] </Try> <Try> 36 + 73 = 109 -> [23, 36, 73, 80] </Try> <Try> 80 - 36 = 44 -> [23, 36, 73, 80] </Try> <Try> 36 - 23 = 13 -> [13, 73, 80] </Try> <State> [13, 73, 80] </State> <Try> 80 - 73 = 7 -> [7, 13] </Try> <State> [7, 13] </State> <Try> 13 * 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 [90, 33, 26], create an equation that equals 97. You can use basic arithmetic operations ...
<State> [26, 33, 90] </State> <Try> 33 - 26 = 7 -> [7, 90] </Try> <State> [7, 90] </State> <Try> 90 + 7 = 97 -> [97] </Try> <State> [97] </State> <answer> (90 + (33 - 26)) = 97 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [54, 37, 72], create an equation that equals 55. You can use basic arithmetic operations ...
<State> [37, 54, 72] </State> <Try> 72 - 37 = 35 -> [37, 54, 72] </Try> <Try> 54 - 37 = 17 -> [17, 72] </Try> <State> [17, 72] </State> <Try> 72 - 17 = 55 -> [55] </Try> <State> [55] </State> <answer> (72 - (54 - 37)) = 55 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [33, 85, 18, 59], create an equation that equals 41. You can use basic arithmetic operati...
<State> [18, 33, 59, 85] </State> <Try> 59 - 18 = 41 -> [18, 33, 59, 85] </Try> <Try> 85 - 33 = 52 -> [18, 33, 59, 85] </Try> <Try> 33 + 85 = 118 -> [18, 59, 118] </Try> <State> [18, 59, 118] </State> <Try> 18 + 59 = 77 -> [77, 118] </Try> <State> [77, 118] </State> <Try> 118 - 77 = 41 -> [41] </Try> <State> [41] </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 [21, 30, 95, 47], create an equation that equals 99. You can use basic arithmetic operati...
<State> [21, 30, 47, 95] </State> <Try> 47 - 30 = 17 -> [21, 30, 47, 95] </Try> <Try> 21 + 30 = 51 -> [47, 51, 95] </Try> <State> [47, 51, 95] </State> <Try> 95 - 47 = 48 -> [48, 51] </Try> <State> [48, 51] </State> <Try> 51 + 48 = 99 -> [99] </Try> <State> [99] </State> <answer> ((21 + 30) + (95 - 47)) = 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 [39, 78, 46, 11], create an equation that equals 74. You can use basic arithmetic operati...
<State> [11, 39, 46, 78] </State> <Try> 46 - 39 = 7 -> [7, 11, 78] </Try> <State> [7, 11, 78] </State> <Try> 11 - 7 = 4 -> [4, 78] </Try> <State> [4, 78] </State> <Try> 78 - 4 = 74 -> [74] </Try> <State> [74] </State> <answer> (78 - (11 - (46 - 39))) = 74 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [51, 85, 38, 39], create an equation that equals 59. You can use basic arithmetic operati...
<State> [38, 39, 51, 85] </State> <Try> 85 - 38 = 47 -> [38, 39, 51, 85] </Try> <Try> 51 + 38 = 89 -> [38, 39, 51, 85] </Try> <Try> 51 - 38 = 13 -> [38, 39, 51, 85] </Try> <Try> 85 - 39 = 46 -> [38, 46, 51] </Try> <State> [38, 46, 51] </State> <Try> 46 - 38 = 8 -> [8, 51] </Try> <State> [8, 51] </State> <Try> 8 + 51 = ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [21, 65, 98, 11], create an equation that equals 65. You can use basic arithmetic operati...
<State> [11, 21, 65, 98] </State> <Try> 21 / 21 = 1 -> [11, 21, 65, 98] </Try> <Try> 21 * 11 = 231 -> [11, 21, 65, 98] </Try> <Try> 98 / 98 = 1 -> [11, 21, 65, 98] </Try> <Try> 65 - 21 = 44 -> [11, 44, 98] </Try> <State> [11, 44, 98] </State> <Try> 98 + 11 = 109 -> [44, 109] </Try> <State> [44, 109] </State> <Try> 109 ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [63, 79, 7, 92], create an equation that equals 69. You can use basic arithmetic operatio...
<State> [7, 63, 79, 92] </State> <Try> 79 - 7 = 72 -> [7, 63, 79, 92] </Try> <Try> 63 + 7 = 70 -> [7, 63, 79, 92] </Try> <Try> 92 - 79 = 13 -> [7, 63, 79, 92] </Try> <Try> 79 - 63 = 16 -> [7, 16, 92] </Try> <State> [7, 16, 92] </State> <Try> 92 - 7 = 85 -> [16, 85] </Try> <State> [16, 85] </State> <Try> 85 - 16 = 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 [7, 94, 32, 7], create an equation that equals 32. You can use basic arithmetic operation...
<State> [7, 7, 32, 94] </State> <Try> 7 / 7 = 1 -> [7, 7, 32, 94] </Try> <Try> 94 - 32 = 62 -> [7, 7, 32, 94] </Try> <Try> 7 * 7 = 49 -> [7, 7, 32, 94] </Try> <Try> 7 - 7 = 0 -> [0, 32, 94] </Try> <State> [0, 32, 94] </State> <Try> 94 * 0 = 0 -> [0, 32] </Try> <State> [0, 32] </State> <Try> 32 + 0 = 32 -> [32] </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 [17, 73, 40, 72], create an equation that equals 57. You can use basic arithmetic operati...
<State> [17, 40, 72, 73] </State> <Try> 73 - 17 = 56 -> [17, 40, 72, 73] </Try> <Try> 72 / 72 = 1 -> [17, 40, 72, 73] </Try> <Try> 72 - 40 = 32 -> [17, 40, 72, 73] </Try> <Try> 17 + 40 = 57 -> [57, 72, 73] </Try> <State> [57, 72, 73] </State> <Try> 73 - 72 = 1 -> [1, 57] </Try> <State> [1, 57] </State> <Try> 57 * 1 = 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 [4, 29, 82, 92], create an equation that equals 43. You can use basic arithmetic operatio...
<State> [4, 29, 82, 92] </State> <Try> 92 - 29 = 63 -> [4, 29, 82, 92] </Try> <Try> 82 - 29 = 53 -> [4, 29, 82, 92] </Try> <Try> 4 + 29 = 33 -> [33, 82, 92] </Try> <State> [33, 82, 92] </State> <Try> 92 - 82 = 10 -> [10, 33] </Try> <State> [10, 33] </State> <Try> 33 + 10 = 43 -> [43] </Try> <State> [43] </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 [63, 62, 5, 41], create an equation that equals 37. You can use basic arithmetic operatio...
<State> [5, 41, 62, 63] </State> <Try> 63 - 62 = 1 -> [1, 5, 41] </Try> <State> [1, 5, 41] </State> <Try> 41 - 5 = 36 -> [1, 36] </Try> <State> [1, 36] </State> <Try> 1 + 36 = 37 -> [37] </Try> <State> [37] </State> <answer> ((63 - 62) + (41 - 5)) = 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 [54, 17, 41, 35], create an equation that equals 43. You can use basic arithmetic operati...
<State> [17, 35, 41, 54] </State> <Try> 54 - 17 = 37 -> [35, 37, 41] </Try> <State> [35, 37, 41] </State> <Try> 41 - 35 = 6 -> [6, 37] </Try> <State> [6, 37] </State> <Try> 37 + 6 = 43 -> [43] </Try> <State> [43] </State> <answer> ((54 - 17) + (41 - 35)) = 43 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [7, 40, 2], create an equation that equals 73. You can use basic arithmetic operations (+...
<State> [2, 7, 40] </State> <Try> 40 + 7 = 47 -> [2, 7, 40] </Try> <Try> 7 * 2 = 14 -> [2, 7, 40] </Try> <Try> 40 - 7 = 33 -> [2, 7, 40] </Try> <Try> 40 * 2 = 80 -> [7, 80] </Try> <State> [7, 80] </State> <Try> 80 - 7 = 73 -> [73] </Try> <State> [73] </State> <answer> ((40 * 2) - 7) = 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 [19, 14, 26, 2], create an equation that equals 21. You can use basic arithmetic operatio...
<State> [2, 14, 19, 26] </State> <Try> 19 + 2 = 21 -> [2, 14, 19, 26] </Try> <Try> 26 - 14 = 12 -> [2, 14, 19, 26] </Try> <Try> 26 / 2 = 13 -> [2, 14, 19, 26] </Try> <Try> 26 - 19 = 7 -> [2, 7, 14] </Try> <State> [2, 7, 14] </State> <Try> 14 * 2 = 28 -> [7, 28] </Try> <State> [7, 28] </State> <Try> 28 - 7 = 21 -> [21] ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [14, 12, 75, 84], create an equation that equals 54. You can use basic arithmetic operati...
<State> [12, 14, 75, 84] </State> <Try> 84 - 12 = 72 -> [12, 14, 75, 84] </Try> <Try> 84 / 14 = 6 -> [12, 14, 75, 84] </Try> <Try> 75 - 12 = 63 -> [12, 14, 75, 84] </Try> <Try> 75 - 14 = 61 -> [12, 61, 84] </Try> <State> [12, 61, 84] </State> <Try> 84 / 12 = 7 -> [7, 61] </Try> <State> [7, 61] </State> <Try> 61 - 7 = 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 [37, 9, 24, 41], create an equation that equals 15. You can use basic arithmetic operatio...
<State> [9, 24, 37, 41] </State> <Try> 24 + 9 = 33 -> [9, 24, 37, 41] </Try> <Try> 24 - 9 = 15 -> [9, 24, 37, 41] </Try> <Try> 37 + 41 = 78 -> [9, 24, 37, 41] </Try> <Try> 41 - 37 = 4 -> [4, 9, 24] </Try> <State> [4, 9, 24] </State> <Try> 24 / 4 = 6 -> [6, 9] </Try> <State> [6, 9] </State> <Try> 9 + 6 = 15 -> [15] </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 [24, 31, 87, 2], create an equation that equals 82. You can use basic arithmetic operatio...
<State> [2, 24, 31, 87] </State> <Try> 87 - 24 = 63 -> [2, 24, 31, 87] </Try> <Try> 87 - 2 = 85 -> [2, 24, 31, 87] </Try> <Try> 31 * 2 = 62 -> [2, 24, 31, 87] </Try> <Try> 87 - 31 = 56 -> [2, 24, 56] </Try> <State> [2, 24, 56] </State> <Try> 56 + 24 = 80 -> [2, 80] </Try> <State> [2, 80] </State> <Try> 80 + 2 = 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 [29, 34, 56, 42], create an equation that equals 36. You can use basic arithmetic operati...
<State> [29, 34, 42, 56] </State> <Try> 29 * 34 = 986 -> [29, 34, 42, 56] </Try> <Try> 56 * 42 = 2352 -> [29, 34, 42, 56] </Try> <Try> 56 - 42 = 14 -> [29, 34, 42, 56] </Try> <Try> 42 - 34 = 8 -> [8, 29, 56] </Try> <State> [8, 29, 56] </State> <Try> 56 / 8 = 7 -> [7, 29] </Try> <State> [7, 29] </State> <Try> 29 + 7 = 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 [45, 52, 29, 4], create an equation that equals 99. You can use basic arithmetic operatio...
<State> [4, 29, 45, 52] </State> <Try> 52 + 45 = 97 -> [4, 29, 45, 52] </Try> <Try> 29 + 4 = 33 -> [4, 29, 45, 52] </Try> <Try> 29 - 4 = 25 -> [4, 29, 45, 52] </Try> <Try> 45 * 4 = 180 -> [29, 52, 180] </Try> <State> [29, 52, 180] </State> <Try> 52 + 29 = 81 -> [81, 180] </Try> <State> [81, 180] </State> <Try> 180 - 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 [38, 81, 27], create an equation that equals 35. You can use basic arithmetic operations ...
<State> [27, 38, 81] </State> <Try> 81 - 38 = 43 -> [27, 38, 81] </Try> <Try> 81 - 27 = 54 -> [27, 38, 81] </Try> <Try> 38 - 27 = 11 -> [27, 38, 81] </Try> <Try> 81 / 27 = 3 -> [3, 38] </Try> <State> [3, 38] </State> <Try> 38 - 3 = 35 -> [35] </Try> <State> [35] </State> <answer> (38 - (81 / 27)) = 35 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [97, 19, 68], create an equation that equals 48. You can use basic arithmetic operations ...
<State> [19, 68, 97] </State> <Try> 97 - 68 = 29 -> [19, 68, 97] </Try> <Try> 68 - 19 = 49 -> [49, 97] </Try> <State> [49, 97] </State> <Try> 97 - 49 = 48 -> [48] </Try> <State> [48] </State> <answer> (97 - (68 - 19)) = 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 [41, 40, 10], create an equation that equals 45. You can use basic arithmetic operations ...
<State> [10, 40, 41] </State> <Try> 40 / 10 = 4 -> [4, 41] </Try> <State> [4, 41] </State> <Try> 41 + 4 = 45 -> [45] </Try> <State> [45] </State> <answer> (41 + (40 / 10)) = 45 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [20, 46, 17, 69], create an equation that equals 47. You can use basic arithmetic operati...
<State> [17, 20, 46, 69] </State> <Try> 69 - 46 = 23 -> [17, 20, 46, 69] </Try> <Try> 20 + 17 = 37 -> [17, 20, 46, 69] </Try> <Try> 69 - 20 = 49 -> [17, 20, 46, 69] </Try> <Try> 20 * 69 = 1380 -> [17, 46, 1380] </Try> <State> [17, 46, 1380] </State> <Try> 1380 / 46 = 30 -> [17, 30] </Try> <State> [17, 30] </State> <Try...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [43, 62, 57, 48], create an equation that equals 96. You can use basic arithmetic operati...
<State> [43, 48, 57, 62] </State> <Try> 62 - 57 = 5 -> [43, 48, 57, 62] </Try> <Try> 43 + 62 = 105 -> [48, 57, 105] </Try> <State> [48, 57, 105] </State> <Try> 57 - 48 = 9 -> [9, 105] </Try> <State> [9, 105] </State> <Try> 105 - 9 = 96 -> [96] </Try> <State> [96] </State> <answer> ((43 + 62) - (57 - 48)) = 96 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [7, 28, 86, 95], create an equation that equals 26. You can use basic arithmetic operatio...
<State> [7, 28, 86, 95] </State> <Try> 28 / 7 = 4 -> [7, 28, 86, 95] </Try> <Try> 28 - 7 = 21 -> [7, 28, 86, 95] </Try> <Try> 7 + 28 = 35 -> [35, 86, 95] </Try> <State> [35, 86, 95] </State> <Try> 95 - 86 = 9 -> [9, 35] </Try> <State> [9, 35] </State> <Try> 35 - 9 = 26 -> [26] </Try> <State> [26] </State> <answer> ((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 [31, 77, 47, 18], create an equation that equals 22. You can use basic arithmetic operati...
<State> [18, 31, 47, 77] </State> <Try> 77 - 47 = 30 -> [18, 31, 47, 77] </Try> <Try> 31 - 18 = 13 -> [18, 31, 47, 77] </Try> <Try> 77 + 47 = 124 -> [18, 31, 124] </Try> <State> [18, 31, 124] </State> <Try> 124 / 31 = 4 -> [4, 18] </Try> <State> [4, 18] </State> <Try> 18 + 4 = 22 -> [22] </Try> <State> [22] </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 [83, 69, 66, 47], create an equation that equals 99. You can use basic arithmetic operati...
<State> [47, 66, 69, 83] </State> <Try> 83 + 69 = 152 -> [47, 66, 69, 83] </Try> <Try> 83 + 47 = 130 -> [47, 66, 69, 83] </Try> <Try> 83 - 47 = 36 -> [47, 66, 69, 83] </Try> <Try> 83 - 69 = 14 -> [14, 47, 66] </Try> <State> [14, 47, 66] </State> <Try> 66 + 47 = 113 -> [14, 113] </Try> <State> [14, 113] </State> <Try> 1...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [58, 74, 91, 95], create an equation that equals 93. You can use basic arithmetic operati...
<State> [58, 74, 91, 95] </State> <Try> 95 - 91 = 4 -> [58, 74, 91, 95] </Try> <Try> 95 - 74 = 21 -> [58, 74, 91, 95] </Try> <Try> 91 + 74 = 165 -> [58, 74, 91, 95] </Try> <Try> 95 - 58 = 37 -> [37, 74, 91] </Try> <State> [37, 74, 91] </State> <Try> 74 / 37 = 2 -> [2, 91] </Try> <State> [2, 91] </State> <Try> 91 + 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 [31, 33, 4, 90], create an equation that equals 98. You can use basic arithmetic operatio...
<State> [4, 31, 33, 90] </State> <Try> 33 - 31 = 2 -> [2, 4, 90] </Try> <State> [2, 4, 90] </State> <Try> 2 * 4 = 8 -> [8, 90] </Try> <State> [8, 90] </State> <Try> 8 + 90 = 98 -> [98] </Try> <State> [98] </State> <answer> (((33 - 31) * 4) + 90) = 98 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [42, 37, 84], create an equation that equals 89. You can use basic arithmetic operations ...
<State> [37, 42, 84] </State> <Try> 84 + 42 = 126 -> [37, 42, 84] </Try> <Try> 84 - 42 = 42 -> [37, 42, 84] </Try> <Try> 84 * 42 = 3528 -> [37, 42, 84] </Try> <Try> 42 - 37 = 5 -> [5, 84] </Try> <State> [5, 84] </State> <Try> 84 + 5 = 89 -> [89] </Try> <State> [89] </State> <answer> (84 + (42 - 37)) = 89 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [95, 82, 23], create an equation that equals 10. You can use basic arithmetic operations ...
<State> [23, 82, 95] </State> <Try> 95 - 23 = 72 -> [23, 82, 95] </Try> <Try> 95 - 82 = 13 -> [13, 23] </Try> <State> [13, 23] </State> <Try> 23 - 13 = 10 -> [10] </Try> <State> [10] </State> <answer> (23 - (95 - 82)) = 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 [47, 71, 9, 31], create an equation that equals 45. You can use basic arithmetic operatio...
<State> [9, 31, 47, 71] </State> <Try> 71 - 31 = 40 -> [9, 31, 47, 71] </Try> <Try> 31 + 9 = 40 -> [9, 31, 47, 71] </Try> <Try> 71 - 47 = 24 -> [9, 31, 47, 71] </Try> <Try> 71 - 9 = 62 -> [31, 47, 62] </Try> <State> [31, 47, 62] </State> <Try> 62 / 31 = 2 -> [2, 47] </Try> <State> [2, 47] </State> <Try> 47 - 2 = 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 [84, 23, 41, 72], create an equation that equals 76. You can use basic arithmetic operati...
<State> [23, 41, 72, 84] </State> <Try> 84 - 23 = 61 -> [23, 41, 72, 84] </Try> <Try> 72 + 41 = 113 -> [23, 41, 72, 84] </Try> <Try> 41 - 23 = 18 -> [23, 41, 72, 84] </Try> <Try> 84 + 23 = 107 -> [41, 72, 107] </Try> <State> [41, 72, 107] </State> <Try> 72 - 41 = 31 -> [31, 107] </Try> <State> [31, 107] </State> <Try> ...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [32, 20, 19, 17], create an equation that equals 60. You can use basic arithmetic operati...
<State> [17, 19, 20, 32] </State> <Try> 32 - 17 = 15 -> [17, 19, 20, 32] </Try> <Try> 19 - 17 = 2 -> [17, 19, 20, 32] </Try> <Try> 32 - 19 = 13 -> [17, 19, 20, 32] </Try> <Try> 32 + 19 = 51 -> [17, 20, 51] </Try> <State> [17, 20, 51] </State> <Try> 20 * 51 = 1020 -> [17, 1020] </Try> <State> [17, 1020] </State> <Try> 1...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [75, 20, 1], create an equation that equals 96. You can use basic arithmetic operations (...
<State> [1, 20, 75] </State> <Try> 75 + 20 = 95 -> [1, 95] </Try> <State> [1, 95] </State> <Try> 95 + 1 = 96 -> [96] </Try> <State> [96] </State> <answer> ((75 + 20) + 1) = 96 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [96, 2, 89], create an equation that equals 41. You can use basic arithmetic operations (...
<State> [2, 89, 96] </State> <Try> 96 + 89 = 185 -> [2, 89, 96] </Try> <Try> 96 - 89 = 7 -> [2, 89, 96] </Try> <Try> 96 / 2 = 48 -> [48, 89] </Try> <State> [48, 89] </State> <Try> 89 - 48 = 41 -> [41] </Try> <State> [41] </State> <answer> (89 - (96 / 2)) = 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 [26, 23, 48], create an equation that equals 51. You can use basic arithmetic operations ...
<State> [23, 26, 48] </State> <Try> 26 + 23 = 49 -> [23, 26, 48] </Try> <Try> 48 - 23 = 25 -> [23, 26, 48] </Try> <Try> 48 + 23 = 71 -> [23, 26, 48] </Try> <Try> 26 - 23 = 3 -> [3, 48] </Try> <State> [3, 48] </State> <Try> 48 + 3 = 51 -> [51] </Try> <State> [51] </State> <answer> (48 + (26 - 23)) = 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 [66, 33, 32, 95], create an equation that equals 95. You can use basic arithmetic operati...
<State> [32, 33, 66, 95] </State> <Try> 66 + 33 = 99 -> [32, 33, 66, 95] </Try> <Try> 33 + 32 = 65 -> [32, 33, 66, 95] </Try> <Try> 66 + 32 = 98 -> [32, 33, 66, 95] </Try> <Try> 66 - 33 = 33 -> [32, 33, 95] </Try> <State> [32, 33, 95] </State> <Try> 33 - 32 = 1 -> [1, 95] </Try> <State> [1, 95] </State> <Try> 95 * 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 [45, 24, 12, 13], create an equation that equals 69. You can use basic arithmetic operati...
<State> [12, 13, 24, 45] </State> <Try> 45 + 13 = 58 -> [12, 13, 24, 45] </Try> <Try> 24 + 13 = 37 -> [12, 13, 24, 45] </Try> <Try> 45 - 13 = 32 -> [12, 13, 24, 45] </Try> <Try> 45 + 24 = 69 -> [12, 13, 69] </Try> <State> [12, 13, 69] </State> <Try> 13 - 12 = 1 -> [1, 69] </Try> <State> [1, 69] </State> <Try> 69 * 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 [65, 39, 23, 3], create an equation that equals 46. You can use basic arithmetic operatio...
<State> [3, 23, 39, 65] </State> <Try> 65 - 23 = 42 -> [3, 23, 39, 65] </Try> <Try> 39 + 3 = 42 -> [3, 23, 39, 65] </Try> <Try> 23 + 3 = 26 -> [3, 23, 39, 65] </Try> <Try> 65 - 39 = 26 -> [3, 23, 26] </Try> <State> [3, 23, 26] </State> <Try> 26 + 23 = 49 -> [3, 49] </Try> <State> [3, 49] </State> <Try> 49 - 3 = 46 -> [...
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [93, 32, 88, 76], create an equation that equals 95. You can use basic arithmetic operati...
<State> [32, 76, 88, 93] </State> <Try> 88 - 76 = 12 -> [32, 76, 88, 93] </Try> <Try> 76 - 32 = 44 -> [44, 88, 93] </Try> <State> [44, 88, 93] </State> <Try> 88 / 44 = 2 -> [2, 93] </Try> <State> [2, 93] </State> <Try> 93 + 2 = 95 -> [95] </Try> <State> [95] </State> <answer> (93 + (88 / (76 - 32))) = 95 </answer>
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant reasons through the problem using a structured search trace before providing the final answer. User: Using the numbers [56, 28, 92, 54], create an equation that equals 32. You can use basic arithmetic operati...
<State> [28, 54, 56, 92] </State> <Try> 56 + 28 = 84 -> [28, 54, 56, 92] </Try> <Try> 54 - 28 = 26 -> [28, 54, 56, 92] </Try> <Try> 92 - 54 = 38 -> [28, 54, 56, 92] </Try> <Try> 56 - 54 = 2 -> [2, 28, 92] </Try> <State> [2, 28, 92] </State> <Try> 92 - 28 = 64 -> [2, 64] </Try> <State> [2, 64] </State> <Try> 64 / 2 = 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 [74, 42, 80, 92], create an equation that equals 20. You can use basic arithmetic operati...
<State> [42, 74, 80, 92] </State> <Try> 80 - 74 = 6 -> [42, 74, 80, 92] </Try> <Try> 92 - 42 = 50 -> [42, 74, 80, 92] </Try> <Try> 80 - 42 = 38 -> [42, 74, 80, 92] </Try> <Try> 74 - 42 = 32 -> [32, 80, 92] </Try> <State> [32, 80, 92] </State> <Try> 92 - 80 = 12 -> [12, 32] </Try> <State> [12, 32] </State> <Try> 32 - 12...