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Using ALL of the numbers 71, 38, 81, 80, 47, create an expression that equals 147. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [71, 38, 81, 80, 47], "target": 147, "operators_used": ["-", "+", "+", "-"], "expression": "71 - 38 + 81 + 80 - 47"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 77, 7, 50, 49, 77, create an expression that equals 676. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [77, 7, 50, 49, 77], "target": 676, "operators_used": ["/", "*", "+", "+"], "expression": "77 / 7 * 50 + 49 + 77"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 63, 3, 15, 47, 40, create an expression that equals 197. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [63, 3, 15, 47, 40], "target": 197, "operators_used": ["*", "+", "-", "+"], "expression": "63 * 3 + 15 - 47 + 40"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 92, 40, 5, 8, 84, create an expression that equals 176. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [92, 40, 5, 8, 84], "target": 176, "operators_used": ["*", "/", "/", "+"], "expression": "92 * 40 / 5 / 8 + 84"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 53, 63, 62, 3, 52, create an expression that equals 936. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [53, 63, 62, 3, 52], "target": 936, "operators_used": ["+", "-", "/", "*"], "expression": "53 + 63 - 62 / 3 * 52"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 16, 73, 32, 11, 77, create an expression that equals 847. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [16, 73, 32, 11, 77], "target": 847, "operators_used": ["+", "+", "/", "*"], "expression": "16 + 73 + 32 / 11 * 77"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 72, 2, 15, 10, 89, create an expression that equals 761. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [72, 2, 15, 10, 89], "target": 761, "operators_used": ["-", "+", "*", "-"], "expression": "72 - 2 + 15 * 10 - 89"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 96, 4, 31, 21, 23, create an expression that equals 782. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [96, 4, 31, 21, 23], "target": 782, "operators_used": ["/", "+", "-", "*"], "expression": "96 / 4 + 31 - 21 * 23"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 34, 5, 14, 14, 56, create an expression that equals 226. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [34, 5, 14, 14, 56], "target": 226, "operators_used": ["*", "*", "/", "+"], "expression": "34 * 5 * 14 / 14 + 56"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 50, 2, 25, 90, 3, create an expression that equals 273. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [50, 2, 25, 90, 3], "target": 273, "operators_used": ["/", "/", "+", "*"], "expression": "50 / 2 / 25 + 90 * 3"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 100, 84, 6, 97, 4, create an expression that equals 103. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [100, 84, 6, 97, 4], "target": 103, "operators_used": ["-", "-", "+", "-"], "expression": "100 - 84 - 6 + 97 - 4"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 10, 76, 89, 89, 32, create an expression that equals 118. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [10, 76, 89, 89, 32], "target": 118, "operators_used": ["+", "*", "/", "+"], "expression": "10 + 76 * 89 / 89 + 32"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 12, 6, 2, 32, 97, create an expression that equals 129. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [12, 6, 2, 32, 97], "target": 129, "operators_used": ["/", "/", "*", "+"], "expression": "12 / 6 / 2 * 32 + 97"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 4, 12, 30, 87, 74, create an expression that equals 493. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [4, 12, 30, 87, 74], "target": 493, "operators_used": ["+", "*", "+", "-"], "expression": "4 + 12 * 30 + 87 - 74"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 50, 25, 77, 66, 22, create an expression that equals 306. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [50, 25, 77, 66, 22], "target": 306, "operators_used": ["-", "+", "*", "/"], "expression": "50 - 25 + 77 * 66 / 22"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 80, 9, 31, 81, 2, create an expression that equals 385. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [80, 9, 31, 81, 2], "target": 385, "operators_used": ["*", "-", "+", "/"], "expression": "80 * 9 - 31 + 81 / 2"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 49, 74, 46, 1, 38, create an expression that equals 798. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [49, 74, 46, 1, 38], "target": 798, "operators_used": ["-", "+", "/", "*"], "expression": "49 - 74 + 46 / 1 * 38"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 22, 33, 62, 2, 96, create an expression that equals 428. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [22, 33, 62, 2, 96], "target": 428, "operators_used": ["*", "-", "/", "+"], "expression": "22 * 33 - 62 / 2 + 96"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 12, 51, 9, 34, 69, create an expression that equals 169. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [12, 51, 9, 34, 69], "target": 169, "operators_used": ["+", "/", "*", "-"], "expression": "12 + 51 / 9 * 34 - 69"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 87, 30, 61, 4, 23, create an expression that equals 111. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [87, 30, 61, 4, 23], "target": 111, "operators_used": ["*", "-", "+", "/"], "expression": "87 * 30 - 61 + 4 / 23"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 94, 83, 19, 31, 14, create an expression that equals 164. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [94, 83, 19, 31, 14], "target": 164, "operators_used": ["-", "*", "-", "-"], "expression": "94 - 83 * 19 - 31 - 14"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 9, 61, 57, 6, 39, create an expression that equals 140. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [9, 61, 57, 6, 39], "target": 140, "operators_used": ["*", "+", "/", "+"], "expression": "9 * 61 + 57 / 6 + 39"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 10, 38, 13, 65, 1, create an expression that equals 559. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [10, 38, 13, 65, 1], "target": 559, "operators_used": ["+", "*", "-", "/"], "expression": "10 + 38 * 13 - 65 / 1"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 4, 41, 13, 1, 84, create an expression that equals 235. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [4, 41, 13, 1, 84], "target": 235, "operators_used": ["*", "-", "/", "+"], "expression": "4 * 41 - 13 / 1 + 84"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 100, 37, 31, 1, 1, create an expression that equals 106. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [100, 37, 31, 1, 1], "target": 106, "operators_used": ["+", "-", "/", "/"], "expression": "100 + 37 - 31 / 1 / 1"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 61, 6, 82, 7, 48, create an expression that equals 112. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [61, 6, 82, 7, 48], "target": 112, "operators_used": ["*", "+", "/", "+"], "expression": "61 * 6 + 82 / 7 + 48"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 18, 31, 2, 4, 47, create an expression that equals 322. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [18, 31, 2, 4, 47], "target": 322, "operators_used": ["*", "/", "-", "+"], "expression": "18 * 31 / 2 - 4 + 47"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 10, 58, 60, 88, 67, create an expression that equals 365. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [10, 58, 60, 88, 67], "target": 365, "operators_used": ["*", "-", "-", "-"], "expression": "10 * 58 - 60 - 88 - 67"} | countdown | [
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"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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Using ALL of the numbers 62, 60, 27, 44, 6, create an expression that equals 396. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [62, 60, 27, 44, 6], "target": 396, "operators_used": ["-", "*", "*", "/"], "expression": "62 - 60 * 27 * 44 / 6"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 13, 51, 48, 44, 1, create an expression that equals 571. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [13, 51, 48, 44, 1], "target": 571, "operators_used": ["*", "-", "-", "/"], "expression": "13 * 51 - 48 - 44 / 1"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 33, 96, 11, 28, 26, create an expression that equals 286. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [33, 96, 11, 28, 26], "target": 286, "operators_used": ["*", "/", "-", "+"], "expression": "33 * 96 / 11 - 28 + 26"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 39, 13, 93, 74, 2, create an expression that equals 207. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [39, 13, 93, 74, 2], "target": 207, "operators_used": ["/", "*", "-", "+"], "expression": "39 / 13 * 93 - 74 + 2"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 11, 68, 34, 68, 91, create an expression that equals 181. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [11, 68, 34, 68, 91], "target": 181, "operators_used": ["*", "/", "+", "+"], "expression": "11 * 68 / 34 + 68 + 91"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 17, 66, 83, 59, 73, create an expression that equals 132. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [17, 66, 83, 59, 73], "target": 132, "operators_used": ["+", "/", "*", "+"], "expression": "17 + 66 / 83 * 59 + 73"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 45, 20, 36, 1, 93, create an expression that equals 194. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [45, 20, 36, 1, 93], "target": 194, "operators_used": ["+", "+", "/", "+"], "expression": "45 + 20 + 36 / 1 + 93"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 85, 67, 29, 53, 53, create an expression that equals 107. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [85, 67, 29, 53, 53], "target": 107, "operators_used": ["*", "+", "-", "/"], "expression": "85 * 67 + 29 - 53 / 53"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | original | Original 5-arg |
Using ALL of the numbers 97, 69, 61, 8, 29, create an expression that equals 858. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [97, 69, 61, 8, 29], "target": 858, "operators_used": ["*", "-", "/", "+"], "expression": "97 * 69 - 61 / 8 + 29"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 94, 1, 22, 18, 93, create an expression that equals 183. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [94, 1, 22, 18, 93], "target": 183, "operators_used": ["/", "-", "+", "+"], "expression": "94 / 1 - 22 + 18 + 93"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 68, 93, 1, 69, 37, create an expression that equals 129. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [68, 93, 1, 69, 37], "target": 129, "operators_used": ["+", "/", "-", "+"], "expression": "68 + 93 / 1 - 69 + 37"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 92, 2, 11, 1, 20, create an expression that equals 700. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [92, 2, 11, 1, 20], "target": 700, "operators_used": ["/", "-", "/", "*"], "expression": "92 / 2 - 11 / 1 * 20"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 93, 72, 3, 74, 67, create an expression that equals 451. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [93, 72, 3, 74, 67], "target": 451, "operators_used": ["-", "/", "*", "-"], "expression": "93 - 72 / 3 * 74 - 67"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 99, 32, 85, 19, 46, create an expression that equals 368. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [99, 32, 85, 19, 46], "target": 368, "operators_used": ["-", "+", "/", "*"], "expression": "99 - 32 + 85 / 19 * 46"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 41, 9, 39, 6, 91, create an expression that equals 625. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [41, 9, 39, 6, 91], "target": 625, "operators_used": ["+", "+", "*", "+"], "expression": "41 + 9 + 39 * 6 + 91"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 67, 1, 71, 21, 37, create an expression that equals 128. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [67, 1, 71, 21, 37], "target": 128, "operators_used": ["/", "*", "-", "/"], "expression": "67 / 1 * 71 - 21 / 37"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 95, 5, 26, 58, 76, create an expression that equals 476. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [95, 5, 26, 58, 76], "target": 476, "operators_used": ["/", "*", "+", "-"], "expression": "95 / 5 * 26 + 58 - 76"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 41, 58, 9, 7, 46, create an expression that equals 184. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [41, 58, 9, 7, 46], "target": 184, "operators_used": ["+", "/", "-", "*"], "expression": "41 + 58 / 9 - 7 * 46"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 70, 5, 6, 1, 93, create an expression that equals 177. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [70, 5, 6, 1, 93], "target": 177, "operators_used": ["/", "*", "/", "+"], "expression": "70 / 5 * 6 / 1 + 93"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 84, 17, 90, 17, 7, create an expression that equals 859. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [84, 17, 90, 17, 7], "target": 859, "operators_used": ["-", "*", "-", "/"], "expression": "84 - 17 * 90 - 17 / 7"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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] | original | Original 5-arg |
Using ALL of the numbers 63, 42, 15, 1, 100, create an expression that equals 107. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [63, 42, 15, 1, 100], "target": 107, "operators_used": ["+", "/", "*", "+"], "expression": "63 + 42 / 15 * 1 + 100"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
[],
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] | original | Original 5-arg |
Using ALL of the numbers 12, 84, 47, 33, 7, create an expression that equals 142. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [12, 84, 47, 33, 7], "target": 142, "operators_used": ["*", "-", "+", "/"], "expression": "12 * 84 - 47 + 33 / 7"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
[],
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] | original | Original 5-arg |
Using ALL of the numbers 39, 43, 41, 98, 51, create an expression that equals 247. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [39, 43, 41, 98, 51], "target": 247, "operators_used": ["+", "/", "*", "+"], "expression": "39 + 43 / 41 * 98 + 51"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
[],
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[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 6, 15, 56, 38, 95, create an expression that equals 134. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [6, 15, 56, 38, 95], "target": 134, "operators_used": ["+", "+", "-", "+"], "expression": "6 + 15 + 56 - 38 + 95"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
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[],
[]
] | [
[],
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[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 30, 52, 13, 11, 43, create an expression that equals 186. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [30, 52, 13, 11, 43], "target": 186, "operators_used": ["*", "+", "/", "+"], "expression": "30 * 52 + 13 / 11 + 43"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
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] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 43, 38, 2, 1, 44, create an expression that equals 773. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [43, 38, 2, 1, 44], "target": 773, "operators_used": ["*", "/", "/", "-"], "expression": "43 * 38 / 2 / 1 - 44"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 13, 13, 68, 100, 30, create an expression that equals 990. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [13, 13, 68, 100, 30], "target": 990, "operators_used": ["/", "-", "+", "*"], "expression": "13 / 13 - 68 + 100 * 30"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 47, 33, 28, 57, 1, create an expression that equals 335. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [47, 33, 28, 57, 1], "target": 335, "operators_used": ["-", "*", "-", "/"], "expression": "47 - 33 * 28 - 57 / 1"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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null,
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[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 88, 89, 8, 1, 12, create an expression that equals 967. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [88, 89, 8, 1, 12], "target": 967, "operators_used": ["*", "/", "/", "-"], "expression": "88 * 89 / 8 / 1 - 12"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
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[],
[]
] | [
[],
[],
[],
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] | heldout_same | Heldout 5-arg |
Using ALL of the numbers 8, 30, 17, 1, 93, create an expression that equals 553. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [8, 30, 17, 1, 93], "target": 553, "operators_used": ["+", "*", "/", "-"], "expression": "8 + 30 * 17 / 1 - 93"} | countdown | [
{
"content": "You are a math problem solver. Solve the given arithmetic problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>10 + 5 * 2 = 20</answer>\n\nThe answer should be a single arithmetic expression using the given numbers that equals the ta... | [
null,
null,
null,
null
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | [
[],
[],
[],
[]
] | heldout_same | Heldout 5-arg |
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t1-full-l3p2-3b-it-5arg
Full Semantic Knowledge Enhanced evaluation: base eval, knowledge synthesis, and enhanced+heldout evaluation.
Performance Comparison
| Metric | Base (original) | Enhanced: Original 5-arg | Enhanced: Heldout 5-arg | Enhanced: Easier 4-arg | Enhanced: Harder 6-arg |
|---|---|---|---|---|---|
| pass@1 | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) |
| pass@2 | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) |
| pass@3 | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) |
| pass@4 | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) | 0.0000 (0.0%) |
Experimental Details
| Parameter | Value |
|---|---|
| Inference model | hosted_vllm/meta-llama/Llama-3.2-3B-Instruct |
| Synthesis model | gpt-5-mini |
| Temperature | 0.7 |
| Top-p | 0.95 |
| Max tokens | 16384 |
| Samples per problem | 4 |
| N-args | 5 |
| Heldout sets | 4-arg, 5-arg (new), 6-arg |
| Questions per set | 50 |
| Number of facts | 20 |
| Seed (base) | 42 |
| Seed (heldout) | 137 |
Synthesized Facts
- Prioritize combining numbers to create intermediate results that are close to the goal before refining.
- Work backwards from the goal to identify useful intermediate values that could be constructed.
- Break the problem into smaller subproblems by grouping numbers into manageable partial results.
- Keep a clear record of which original numbers have been used so you do not reuse or omit any.
- Mentally test different operation orders using parentheses to understand how order changes outcomes.
- When a path stalls, try different groupings of the same numbers rather than only switching operations.
- Look for opportunities to form exact multiplicative relationships or useful divisibility patterns.
- Treat order-sensitive operations carefully and check both operand orders where applicable.
- Reserve flexible numbers that can be combined later for fine-tuning the final result.
- Explore several promising solution paths in parallel before committing to one approach.
- Use rough estimation to quickly rule out combinations that cannot lead to the goal.
- When you find a promising intermediate, search for multiple ways to reach that intermediate using unused numbers.
- Write down intermediate results and steps to avoid arithmetic errors and to make backtracking easier.
- Avoid repeating attempts that only permute previously tested steps without meaningful change.
- Use commutativity and symmetry to eliminate equivalent cases and reduce redundant work.
- Favor transformations that produce exact, simple intermediate values when they simplify later steps.
- Apply factoring and decomposition mentally to simplify groups of numbers before combining them.
- When considering division, evaluate both possible dividend-divisor pairings for feasibility.
- Prune branches that move far from the goal or consume too many numbers without clear benefit.
- Periodically reassess the remaining unused numbers to confirm they can realistically achieve the goal given current intermediates.
Usage
from datasets import load_dataset
dataset = load_dataset("reasoning-degeneration-dev/t1-full-l3p2-3b-it-5arg", split="train")
Generated by run_full_experiment.py on 2026-02-16 21:15
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