{"instruction": "Solve 3*x - 20 = -44 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -8", "id": "algebra-L1-18097c992e23b8b26ff5", "source_id": "algebra-18097c992e23b8b26ff5", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x - 20 = -44 for x.", "answer": "-8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 4*x - 20 = 28 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12", "id": "algebra-L1-eea1f2cae2f06678530a", "source_id": "algebra-eea1f2cae2f06678530a", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 4*x - 20 = 28 for x.", "answer": "12", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve -9*x - 4 = 50 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -6", "id": "algebra-L1-02ed2084d5de4eed6cfd", "source_id": "algebra-02ed2084d5de4eed6cfd", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -9*x - 4 = 50 for x.", "answer": "-6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 7*x - 20 = -13 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 1", "id": "algebra-L1-dcec9caffcb37b11668f", "source_id": "algebra-dcec9caffcb37b11668f", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x - 20 = -13 for x.", "answer": "1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 7*x - 5 = 30 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-f621eb27efae07c11362", "source_id": "algebra-f621eb27efae07c11362", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x - 5 = 30 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 3*x + 9 = -12 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -7", "id": "algebra-L1-bb3b075ffb30a6067aa6", "source_id": "algebra-bb3b075ffb30a6067aa6", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x + 9 = -12 for x.", "answer": "-7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 5*x - 2 = 38 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8", "id": "algebra-L1-b08572e85e15d4ad9877", "source_id": "algebra-b08572e85e15d4ad9877", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x - 2 = 38 for x.", "answer": "8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 6*x - 11 = -47 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -6", "id": "algebra-L1-83ad5b606c55a43ee046", "source_id": "algebra-83ad5b606c55a43ee046", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 6*x - 11 = -47 for x.", "answer": "-6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve -4*x - 11 = 13 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -6", "id": "algebra-L1-467e356fb80588af0ba4", "source_id": "algebra-467e356fb80588af0ba4", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -4*x - 11 = 13 for x.", "answer": "-6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 5*x - 16 = -51 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -7", "id": "algebra-L1-767e21d1023e987361a8", "source_id": "algebra-767e21d1023e987361a8", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x - 16 = -51 for x.", "answer": "-7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Expand (14*x + 18)*(x - 46). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 14*x**2 - 626*x - 828", "id": "algebra-L2-bd7456a2d0da18ce57ec", "source_id": "algebra-bd7456a2d0da18ce57ec", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (14*x + 18)*(x - 46).", "answer": "14*x**2 - 626*x - 828", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 8*x**2 - 232*x - 768 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-3, 32]", "id": "algebra-L2-6bfac99be17a56797b42", "source_id": "algebra-6bfac99be17a56797b42", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 8*x**2 - 232*x - 768 = 0 for x. List all roots in increasing order.", "answer": "[-3, 32]", "expr": "8*x**2 - 232*x - 768", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Expand (-9*x - 47)*(x + 47). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -9*x**2 - 470*x - 2209", "id": "algebra-L2-013471956ab0a066a43b", "source_id": "algebra-013471956ab0a066a43b", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-9*x - 47)*(x + 47).", "answer": "-9*x**2 - 470*x - 2209", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Expand (3*x - 45)*(x + 4). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*x**2 - 33*x - 180", "id": "algebra-L2-6dff946c50b96b48759d", "source_id": "algebra-6dff946c50b96b48759d", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (3*x - 45)*(x + 4).", "answer": "3*x**2 - 33*x - 180", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 4*x**2 - 320*x + 6364 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [37, 43]", "id": "algebra-L2-8890db8366e6885a7df0", "source_id": "algebra-8890db8366e6885a7df0", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 4*x**2 - 320*x + 6364 = 0 for x. List all roots in increasing order.", "answer": "[37, 43]", "expr": "4*x**2 - 320*x + 6364", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Expand (-5*x - 22)*(x + 18). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -5*x**2 - 112*x - 396", "id": "algebra-L2-2d5123265d5e227ee5c0", "source_id": "algebra-2d5123265d5e227ee5c0", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-5*x - 22)*(x + 18).", "answer": "-5*x**2 - 112*x - 396", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Expand (7*x + 34)*(x - 2). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 7*x**2 + 20*x - 68", "id": "algebra-L2-8c8b8e6effcd3ba04f29", "source_id": "algebra-8c8b8e6effcd3ba04f29", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (7*x + 34)*(x - 2).", "answer": "7*x**2 + 20*x - 68", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve 3*x**2 + 213*x + 3720 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-40, -31]", "id": "algebra-L2-a41a9655d04e3491b6ab", "source_id": "algebra-a41a9655d04e3491b6ab", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 3*x**2 + 213*x + 3720 = 0 for x. List all roots in increasing order.", "answer": "[-40, -31]", "expr": "3*x**2 + 213*x + 3720", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Factor x**2 + 44*x + 403 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (x + 13)*(x + 31)", "id": "algebra-L2-f6658ce90c22f4749bf2", "source_id": "algebra-f6658ce90c22f4749bf2", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor x**2 + 44*x + 403 over the integers.", "answer": "(x + 13)*(x + 31)", "expr": "x**2 + 44*x + 403", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Factor 3*x**2 + 228*x + 4089 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*(x + 29)*(x + 47)", "id": "algebra-L2-e5098c8cae79fdabd8ec", "source_id": "algebra-e5098c8cae79fdabd8ec", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 3*x**2 + 228*x + 4089 over the integers.", "answer": "3*(x + 29)*(x + 47)", "expr": "3*x**2 + 228*x + 4089", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Simplify (2*x**2 - 3*x - 464)/(x - (16)) for x != 16. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 2*x + 29", "id": "algebra-L3-a12b7b177ec8ac795606", "source_id": "algebra-a12b7b177ec8ac795606", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (2*x**2 - 3*x - 464)/(x - (16)) for x != 16.", "answer": "2*x + 29", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Simplify (10*x**2 + 260*x)/(x - (-26)) for x != -26. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*x", "id": "algebra-L3-cb20fc94769161be8b4d", "source_id": "algebra-cb20fc94769161be8b4d", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (10*x**2 + 260*x)/(x - (-26)) for x != -26.", "answer": "10*x", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve the system: -1*x + 1*y = -7, 1*x - 2*y = 14 for x and y. Give the answer as an ordered pair (x, y). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (0, -7)", "id": "algebra-L3-82d1fb833d93da836756", "source_id": "algebra-82d1fb833d93da836756", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -1*x + 1*y = -7, 1*x - 2*y = 14 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(0, -7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Simplify (9*x**2 - 437*x + 240)/(x - (48)) for x != 48. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*x - 5", "id": "algebra-L3-a95d9f10b72d4734e8a0", "source_id": "algebra-a95d9f10b72d4734e8a0", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (9*x**2 - 437*x + 240)/(x - (48)) for x != 48.", "answer": "9*x - 5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve the system: -2*x + 2*y = 12, -3*x + 4*y = 23 for x and y. Give the answer as an ordered pair (x, y). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (-1, 5)", "id": "algebra-L3-622d89e7a373a638ad2d", "source_id": "algebra-622d89e7a373a638ad2d", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -2*x + 2*y = 12, -3*x + 4*y = 23 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-1, 5)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Simplify (12*x**2 - 297*x + 483)/(x - (23)) for x != 23. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12*x - 21", "id": "algebra-L3-fb74d59a0671181155c6", "source_id": "algebra-fb74d59a0671181155c6", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (12*x**2 - 297*x + 483)/(x - (23)) for x != 23.", "answer": "12*x - 21", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve the system: 3*x - 3*y = -15, 6*x + 4*y = -60 for x and y. Give the answer as an ordered pair (x, y). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (-8, -3)", "id": "algebra-L3-3f9f3e9ba41fc84486e9", "source_id": "algebra-3f9f3e9ba41fc84486e9", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 3*x - 3*y = -15, 6*x + 4*y = -60 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-8, -3)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve the system: -3*x + 1*y = 28, -5*x + 5*y = 50 for x and y. Give the answer as an ordered pair (x, y). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (-9, 1)", "id": "algebra-L3-077a2e1a773f43e6fda7", "source_id": "algebra-077a2e1a773f43e6fda7", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -3*x + 1*y = 28, -5*x + 5*y = 50 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-9, 1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Simplify (4*x**2 - 58*x - 170)/(x - (17)) for x != 17. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4*x + 10", "id": "algebra-L3-7e7e923eefadae87e2d7", "source_id": "algebra-7e7e923eefadae87e2d7", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (4*x**2 - 58*x - 170)/(x - (17)) for x != 17.", "answer": "4*x + 10", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}
{"instruction": "Solve the system: -2*x - 6*y = -28, -4*x - 2*y = -6 for x and y. Give the answer as an ordered pair (x, y). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (-1, 5)", "id": "algebra-L3-fd545ad19815411737b1", "source_id": "algebra-fd545ad19815411737b1", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -2*x - 6*y = -28, -4*x - 2*y = -6 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-1, 5)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "dev"}