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Using the numbers 10, 1, 34, 81, create an expression that equals 259. You may use +, -, *, / and each number at most once.
{"numbers": [10, 1, 34, 81], "target": 259, "operators_used": ["/", "*", "-"], "expression": "10 / 1 * 34 - 81"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 10, 1, 34, 81, create an expres...
[ [ "We are given the numbers: **10, 1, 34, 81** \nWe need to create an expression using **each number at most once**, and using only the operations **+**, **−**, **\\***, and **/** to get a result of **259**.\n\n---\n\n### Step 1: Try to estimate\nWe want to reach **259**.\n\nLet’s look at the numbers:\n\n- 81 ...
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[ [ [ "(34 * 10) - (81 * 1)" ], [], [ "(34 * 10) - (81 * 1)" ], [ "10 * 34 - 81 * 1" ], [], [ "10 * 34 - 81 * 1" ], [ "10 * 34 - 81 * 1" ], [ "10 * 34 - 81 * 1" ], [ "10 * 34 - 81 * 1" ], [ "10 * 34 - 8...
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[ [ [ { "answer_block": "(34 * 10) - (81 * 1)", "error": null, "final_answer": 259, "is_correct": true } ], [], [ { "answer_block": "(34 * 10) - (81 * 1)", "error": null, "final_answer": 259, "is_correct": true } ...
Using the numbers 99, 93, 96, 20, create an expression that equals 308. You may use +, -, *, / and each number at most once.
{"numbers": [99, 93, 96, 20], "target": 308, "operators_used": ["+", "+", "+"], "expression": "99 + 93 + 96 + 20"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 99, 93, 96, 20, create an expre...
[ [ "We are given the numbers: \n**99, 93, 96, 20** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, and **/** to get a result of **308**.\n\n---\n\n### Step 1: Estimate the total\nLet’s first see what the sum of all numbers is:\n\n99 + 93...
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[ [ [ { "answer_block": "99 + 93 + 96 + 20", "error": null, "final_answer": 308, "is_correct": true } ], [], [], [ { "answer_block": "99 + 93 + 96 + 20", "error": null, "final_answer": 308, "is_correct": true }...
Using the numbers 13, 4, 14, 98, create an expression that equals 224. You may use +, -, *, / and each number at most once.
{"numbers": [13, 4, 14, 98], "target": 224, "operators_used": ["-", "*", "+"], "expression": "13 - 4 * 14 + 98"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 13, 4, 14, 98, create an expres...
[ [ "We are given the numbers: **13, 4, 14, 98** \nWe need to create an expression using **each number at most once**, and using only the operations **+**, **−**, **\\***, and **/** to get a result of **224**.\n\n---\n\nLet’s look for combinations that get us close to 224.\n\nFirst, note that 98 is a large numbe...
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[ [ [], [], [], [], [], [ "There is no valid expression using the numbers 13, 4, 14, and 98 exactly once with +, −, ×, ÷ that equals 224." ], [ "There is no valid expression that equals 224 using the numbers 13, 4, 14, and 98 with each number used at most once and only the ...
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[ [ [], [], [], [], [], [ { "answer_block": "There is no valid expression using the numbers 13, 4, 14, and 98 exactly once with +, −, ×, ÷ that equals 224.", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false } ],...
Using the numbers 66, 1, 100, 4, create an expression that equals 162. You may use +, -, *, / and each number at most once.
{"numbers": [66, 1, 100, 4], "target": 162, "operators_used": ["/", "+", "-"], "expression": "66 / 1 + 100 - 4"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 66, 1, 100, 4, create an expres...
[ [ "We are given the numbers: **66, 1, 100, 4** \nWe need to create an expression that equals **162**, using **each number at most once**, and only the operations: **+**, **−**, **\\***, **/**.\n\n---\n\nLet’s try to get close to 162.\n\nNote:\n- 100 is a large number. 100 + 66 = 166 → very close to 162.\n- 166...
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[ [ [ "(100 + 66) - (4 * 1)" ], [ "100 + 66 - (4 / 1)" ], [ "100 + (66 - 4) * 1" ], [ "(100 + (66 - 4)) * 1" ], [ "100 + 66 - (4 * 1)" ], [ "(100 + 66 - 4) * 1" ], [ "(100 + 66 - 4) * 1" ], [ "(100 + 66 - 4) * ...
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[ [ [ { "answer_block": "(100 + 66) - (4 * 1)", "error": null, "final_answer": 162, "is_correct": true } ], [ { "answer_block": "100 + 66 - (4 / 1)", "error": null, "final_answer": 162, "is_correct": true } ], ...
Using the numbers 44, 11, 88, 26, create an expression that equals 378. You may use +, -, *, / and each number at most once.
{"numbers": [44, 11, 88, 26], "target": 378, "operators_used": ["/", "*", "+"], "expression": "44 / 11 * 88 + 26"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 44, 11, 88, 26, create an expre...
[ [ "We are given the numbers: **44, 11, 88, 26** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, and **/** to get a result of **378**.\n\n---\n\n### Step 1: Try to estimate\nFirst, let's see what combinations of multiplication might get u...
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[ [ [ { "answer_block": "88 × (44 ÷ 11) + 26", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false } ], [], [ { "answer_block": "44 × (88 ÷ 11) + 26", "error": "Could not evaluate expression", "fi...
Using the numbers 86, 37, 86, 99, create an expression that equals 136. You may use +, -, *, / and each number at most once.
{"numbers": [86, 37, 86, 99], "target": 136, "operators_used": ["*", "/", "+"], "expression": "86 * 37 / 86 + 99"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 86, 37, 86, 99, create an expre...
[ [ "We are given the numbers: **86, 37, 86, 99** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, and **/** to get a result of **136**.\n\nWe are allowed to use **each number at most once**, so we can use 86 twice (since both instances are...
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[ [ [ "99 + 37 + (86 - 86)" ], [ "(99 + 37) × (86 ÷ 86)" ], [ "(99 + 86) − (86 − 37)" ], [], [ "86 + (99 − (86 − 37))" ], [ "99 + 37 + (86 - 86)", "99 + 37 + (86 - 86)" ], [ "(99 + 37) + (86 - 86)", "(99 + 37) + (86 - 86)"...
[ [ [ true ], [ false ], [ false ], [], [ false ], [ true, true ], [ true, true ], [ true ], [ true, true ], [ true, true ], [ true, true ], ...
[ [ [ { "answer_block": "99 + 37 + (86 - 86)", "error": null, "final_answer": 136, "is_correct": true } ], [ { "answer_block": "(99 + 37) × (86 ÷ 86)", "error": "Could not evaluate expression", "final_answer": null, "is_corr...
Using the numbers 19, 17, 73, 65, create an expression that equals 140. You may use +, -, *, / and each number at most once.
{"numbers": [19, 17, 73, 65], "target": 140, "operators_used": ["-", "+", "+"], "expression": "19 - 17 + 73 + 65"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 19, 17, 73, 65, create an expre...
[ [ "We are given the numbers: **19, 17, 73, 65** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, and **/** to get a result of **140**.\n\n---\n\nLet’s explore combinations.\n\nFirst, try adding and subtracting to get close to 140.\n\nTry ...
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[ [ [ "73 + 65 + (19 - 17)" ], [ "(73 + 19) + (65 - 17)" ], [], [], [], [ "73 + 65 + 19 - 17" ], [ "(73 + 65) + (19 - 17)" ], [ "(19 - 17) + 73 + 65" ], [ "(73 + 65) + (19 - 17)" ], [ "(73 + 65) + (19 - 17)" ...
[ [ [ true ], [ true ], [], [], [], [ true ], [ true ], [ true ], [ true ], [ true ], [ true ], [ true ], [ true ], [ true ] ], [ [ true ...
[ [ [ { "answer_block": "73 + 65 + (19 - 17)", "error": null, "final_answer": 140, "is_correct": true } ], [ { "answer_block": "(73 + 19) + (65 - 17)", "error": null, "final_answer": 140, "is_correct": true } ], ...
Using the numbers 73, 68, 36, 13, create an expression that equals 533. You may use +, -, *, / and each number at most once.
{"numbers": [73, 68, 36, 13], "target": 533, "operators_used": ["-", "+", "*"], "expression": "73 - 68 + 36 * 13"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 73, 68, 36, 13, create an expre...
[ [ "We are given the numbers: **73, 68, 36, 13** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, **/** to get a result of **533**.\n\n---\n\nLet’s try to find a combination that gives 533.\n\nFirst, note that 533 is a relatively large num...
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[ [ [], [], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ], [ "13 × ((73 - 68) + 36)" ...
[ [ [], [], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ]...
[ [ [], [], [ { "answer_block": "13 × ((73 - 68) + 36)", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false } ], [ { "answer_block": "13 × ((73 - 68) + 36)", "error": "Could not evaluate expression",...
Using the numbers 11, 100, 3, 69, create an expression that equals 106. You may use +, -, *, / and each number at most once.
{"numbers": [11, 100, 3, 69], "target": 106, "operators_used": ["+", "/", "+"], "expression": "11 + 100 / 3 + 69"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 11, 100, 3, 69, create an expre...
[ [ "We are given the numbers: **11, 100, 3, 69** \nWe need to create an expression that equals **106**, using each number **at most once**, and only the operations: **+**, **−**, **\\***, **/**.\n\n---\n\nLet’s try to find a combination that gets us to 106.\n\n### Step 1: Look at the numbers\n- 100 is close to ...
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[ [ [], [], [], [], [], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ "no solution" ], [ ...
[ [ [], [], [], [], [], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ], [ false ] ], [ [], [], [ false ], ...
[ [ [], [], [], [], [], [ { "answer_block": "no solution", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false } ], [ { "answer_block": "no solution", "error": "Could not evaluate expressi...
Using the numbers 90, 27, 9, 69, create an expression that equals 339. You may use +, -, *, / and each number at most once.
{"numbers": [90, 27, 9, 69], "target": 339, "operators_used": ["*", "/", "+"], "expression": "90 * 27 / 9 + 69"}
countdown
[ { "content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. When you have a final answer, wrap it in <answer></answer> tags.", "role": "system" }, { "content": "Using the numbers 90, 27, 9, 69, create an expres...
[ [ "We are given the numbers: **90, 27, 9, 69** \nWe need to create an expression using **each number at most once** and using only the operations **+**, **−**, **\\***, **/** to get a result of **339**.\n\n---\n\n### Step 1: Try to estimate\nLet’s first see what sum or product we might get.\n\nSum of all numbe...
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[ [ [ { "answer_block": "90 * (27 / 9) + 69", "error": null, "final_answer": 339, "is_correct": true } ], [], [], [], [], [ { "answer_block": "90 * (27 / 9) + 69", "error": null, "final_answer": 339, "is_corr...