| {"instruction": "Solve 9*x + 19 = 109 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10", "id": "algebra-L1-a46cd3b8f4d8844641b4", "source_id": "algebra-a46cd3b8f4d8844641b4", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 9*x + 19 = 109 for x.", "answer": "10", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -6*x + 20 = 68 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -8", "id": "algebra-L1-7951ce54fcc19f98319f", "source_id": "algebra-7951ce54fcc19f98319f", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -6*x + 20 = 68 for x.", "answer": "-8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -3*x + 17 = -1 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 6", "id": "algebra-L1-de62a3a282eca6f95c7d", "source_id": "algebra-de62a3a282eca6f95c7d", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -3*x + 17 = -1 for x.", "answer": "6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x + 10 = -18 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -7", "id": "algebra-L1-aaba0923f4300c5f1624", "source_id": "algebra-aaba0923f4300c5f1624", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 4*x + 10 = -18 for x.", "answer": "-7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x - 20 = -20 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 0", "id": "algebra-L1-bcbd0c6f1a9cc85a77e3", "source_id": "algebra-bcbd0c6f1a9cc85a77e3", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x - 20 = -20 for x.", "answer": "0", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x + 16 = -17 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -11", "id": "algebra-L1-7b597970eb0d709adb92", "source_id": "algebra-7b597970eb0d709adb92", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x + 16 = -17 for x.", "answer": "-11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x - 6 = 9 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-d0e496a6ddbeadd57d53", "source_id": "algebra-d0e496a6ddbeadd57d53", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x - 6 = 9 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -8*x + 16 = 96 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -10", "id": "algebra-L1-9ce1898a0987a65beb2b", "source_id": "algebra-9ce1898a0987a65beb2b", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -8*x + 16 = 96 for x.", "answer": "-10", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 9*x - 5 = -86 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -9", "id": "algebra-L1-c1cb192ee38649d657dc", "source_id": "algebra-c1cb192ee38649d657dc", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 9*x - 5 = -86 for x.", "answer": "-9", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x + 19 = 75 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 7", "id": "algebra-L1-fa571a2d89e8499f13d1", "source_id": "algebra-fa571a2d89e8499f13d1", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x + 19 = 75 for x.", "answer": "7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -3*x - 11 = -8 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -1", "id": "algebra-L1-ac400409c17f447a4289", "source_id": "algebra-ac400409c17f447a4289", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -3*x - 11 = -8 for x.", "answer": "-1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 2*x - 10 = -14 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -2", "id": "algebra-L1-8913ad723df2f00e9e5c", "source_id": "algebra-8913ad723df2f00e9e5c", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 2*x - 10 = -14 for x.", "answer": "-2", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 5*x + 3 = 13 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 2", "id": "algebra-L1-db19c1b5762ae2878648", "source_id": "algebra-db19c1b5762ae2878648", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x + 3 = 13 for x.", "answer": "2", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 5*x + 1 = -54 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -11", "id": "algebra-L1-f60f5fa7b84cfcdf2759", "source_id": "algebra-f60f5fa7b84cfcdf2759", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x + 1 = -54 for x.", "answer": "-11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 7*x - 14 = -49 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -5", "id": "algebra-L1-160c1da09ac1892f426d", "source_id": "algebra-160c1da09ac1892f426d", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x - 14 = -49 for x.", "answer": "-5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -3*x + 4 = -17 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 7", "id": "algebra-L1-91215e1ded8d58efa47c", "source_id": "algebra-91215e1ded8d58efa47c", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -3*x + 4 = -17 for x.", "answer": "7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -7*x + 1 = -83 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12", "id": "algebra-L1-a1e36d4d0ec68c9e9442", "source_id": "algebra-a1e36d4d0ec68c9e9442", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -7*x + 1 = -83 for x.", "answer": "12", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 7*x + 16 = -68 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -12", "id": "algebra-L1-3ca6384f2f5cbfd2c2aa", "source_id": "algebra-3ca6384f2f5cbfd2c2aa", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x + 16 = -68 for x.", "answer": "-12", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -4*x - 12 = 12 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -6", "id": "algebra-L1-8ab56c0d99d3f1d03334", "source_id": "algebra-8ab56c0d99d3f1d03334", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -4*x - 12 = 12 for x.", "answer": "-6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 2*x - 4 = 10 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 7", "id": "algebra-L1-92dd71649ab4988c0188", "source_id": "algebra-92dd71649ab4988c0188", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 2*x - 4 = 10 for x.", "answer": "7", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 7*x - 18 = -53 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -5", "id": "algebra-L1-380ff0d10a75a93a0191", "source_id": "algebra-380ff0d10a75a93a0191", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x - 18 = -53 for x.", "answer": "-5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x - 5 = 39 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11", "id": "algebra-L1-867f69314a98742d05a0", "source_id": "algebra-867f69314a98742d05a0", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 4*x - 5 = 39 for x.", "answer": "11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 5*x + 12 = 17 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 1", "id": "algebra-L1-b698ffdcb237114b6a86", "source_id": "algebra-b698ffdcb237114b6a86", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x + 12 = 17 for x.", "answer": "1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x + 2 = 26 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8", "id": "algebra-L1-982ac2f67f4f1472aa2a", "source_id": "algebra-982ac2f67f4f1472aa2a", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x + 2 = 26 for x.", "answer": "8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x + 8 = 48 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10", "id": "algebra-L1-5d450dc0af6ae3f6edfc", "source_id": "algebra-5d450dc0af6ae3f6edfc", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 4*x + 8 = 48 for x.", "answer": "10", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -8*x + 2 = 34 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -4", "id": "algebra-L1-5066c59697a3d420929f", "source_id": "algebra-5066c59697a3d420929f", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -8*x + 2 = 34 for x.", "answer": "-4", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 2*x - 19 = 5 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12", "id": "algebra-L1-6fd287aaf62bdac0c5fd", "source_id": "algebra-6fd287aaf62bdac0c5fd", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 2*x - 19 = 5 for x.", "answer": "12", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x + 18 = -6 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -8", "id": "algebra-L1-f063b75875268032074c", "source_id": "algebra-f063b75875268032074c", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x + 18 = -6 for x.", "answer": "-8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -8*x + 10 = -30 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-41e90820203e3f734cac", "source_id": "algebra-41e90820203e3f734cac", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -8*x + 10 = -30 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 6*x + 18 = 84 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11", "id": "algebra-L1-f0ae23126569bd5d17c7", "source_id": "algebra-f0ae23126569bd5d17c7", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 6*x + 18 = 84 for x.", "answer": "11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -7*x - 18 = -74 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8", "id": "algebra-L1-4c1d72307f21b4381278", "source_id": "algebra-4c1d72307f21b4381278", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -7*x - 18 = -74 for x.", "answer": "8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -6*x + 13 = 31 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -3", "id": "algebra-L1-93c000467383a1754bec", "source_id": "algebra-93c000467383a1754bec", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -6*x + 13 = 31 for x.", "answer": "-3", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 6*x + 0 = -30 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -5", "id": "algebra-L1-61d5cb42d55762c51116", "source_id": "algebra-61d5cb42d55762c51116", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 6*x + 0 = -30 for x.", "answer": "-5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -5*x + 19 = 29 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -2", "id": "algebra-L1-da9e44e741bb62f7f2a0", "source_id": "algebra-da9e44e741bb62f7f2a0", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -5*x + 19 = 29 for x.", "answer": "-2", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -2*x + 16 = 8 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4", "id": "algebra-L1-7d0944d7edde24347b36", "source_id": "algebra-7d0944d7edde24347b36", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -2*x + 16 = 8 for x.", "answer": "4", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x - 7 = 81 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11", "id": "algebra-L1-ef51474656050bfddf98", "source_id": "algebra-ef51474656050bfddf98", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x - 7 = 81 for x.", "answer": "11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x - 9 = -33 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -3", "id": "algebra-L1-2151e1bc46365280a2e1", "source_id": "algebra-2151e1bc46365280a2e1", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x - 9 = -33 for x.", "answer": "-3", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -3*x + 14 = -13 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9", "id": "algebra-L1-9df43a71541db80c4267", "source_id": "algebra-9df43a71541db80c4267", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -3*x + 14 = -13 for x.", "answer": "9", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x - 14 = 82 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12", "id": "algebra-L1-7f64c5ae35745bc1bb75", "source_id": "algebra-7f64c5ae35745bc1bb75", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x - 14 = 82 for x.", "answer": "12", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -2*x - 10 = 12 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -11", "id": "algebra-L1-583f2bbf5e5fb12115fe", "source_id": "algebra-583f2bbf5e5fb12115fe", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -2*x - 10 = 12 for x.", "answer": "-11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 6*x + 16 = 10 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -1", "id": "algebra-L1-051d902a627b665c021f", "source_id": "algebra-051d902a627b665c021f", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 6*x + 16 = 10 for x.", "answer": "-1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -8*x + 5 = -27 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4", "id": "algebra-L1-a49915d720ec70f3379d", "source_id": "algebra-a49915d720ec70f3379d", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -8*x + 5 = -27 for x.", "answer": "4", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x - 13 = 2 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-58e3d6bbab89b21e638f", "source_id": "algebra-58e3d6bbab89b21e638f", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 3*x - 13 = 2 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 7*x + 14 = 35 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3", "id": "algebra-L1-d0ffc064f6298ffea91e", "source_id": "algebra-d0ffc064f6298ffea91e", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 7*x + 14 = 35 for x.", "answer": "3", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -4*x + 15 = -5 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-090c384b202875c5c5ee", "source_id": "algebra-090c384b202875c5c5ee", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -4*x + 15 = -5 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 5*x + 13 = -37 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -10", "id": "algebra-L1-6d0630a6ebc2166a4a51", "source_id": "algebra-6d0630a6ebc2166a4a51", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 5*x + 13 = -37 for x.", "answer": "-10", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x + 6 = -82 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -11", "id": "algebra-L1-43501982dbccd16ec2c8", "source_id": "algebra-43501982dbccd16ec2c8", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x + 6 = -82 for x.", "answer": "-11", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 8*x - 13 = 27 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5", "id": "algebra-L1-e940b0e2a2c97abf67e1", "source_id": "algebra-e940b0e2a2c97abf67e1", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve 8*x - 13 = 27 for x.", "answer": "5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -5*x - 20 = -40 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4", "id": "algebra-L1-eb1ed622099c3639cbcb", "source_id": "algebra-eb1ed622099c3639cbcb", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -5*x - 20 = -40 for x.", "answer": "4", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve -9*x - 9 = -9 for x. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 0", "id": "algebra-L1-1458af6d0101c7c6e3ac", "source_id": "algebra-1458af6d0101c7c6e3ac", "topic": "algebra", "level": 1, "kind": "solve", "question": "Solve -9*x - 9 = -9 for x.", "answer": "0", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (9*x + 7)*(x - 23). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*x**2 - 200*x - 161", "id": "algebra-L2-e72390e4439ee860aff3", "source_id": "algebra-e72390e4439ee860aff3", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (9*x + 7)*(x - 23).", "answer": "9*x**2 - 200*x - 161", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 3*x**2 + 72*x - 3036 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*(x - 22)*(x + 46)", "id": "algebra-L2-89a2e08c3a386d6be3c2", "source_id": "algebra-89a2e08c3a386d6be3c2", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 3*x**2 + 72*x - 3036 over the integers.", "answer": "3*(x - 22)*(x + 46)", "expr": "3*x**2 + 72*x - 3036", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 3*x**2 - 24*x over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*x*(x - 8)", "id": "algebra-L2-1c50be5bd65a0fcc5ba2", "source_id": "algebra-1c50be5bd65a0fcc5ba2", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 3*x**2 - 24*x over the integers.", "answer": "3*x*(x - 8)", "expr": "3*x**2 - 24*x", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-8*x + 39)*(x - 20). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -8*x**2 + 199*x - 780", "id": "algebra-L2-603f33bd92b02066336d", "source_id": "algebra-603f33bd92b02066336d", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-8*x + 39)*(x - 20).", "answer": "-8*x**2 + 199*x - 780", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 11*x**2 + 495*x + 5236 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-28, -17]", "id": "algebra-L2-cb917b1f4a24381b0fc4", "source_id": "algebra-cb917b1f4a24381b0fc4", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 11*x**2 + 495*x + 5236 = 0 for x. List all roots in increasing order.", "answer": "[-28, -17]", "expr": "11*x**2 + 495*x + 5236", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x**2 - 104*x - 2028 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-13, 39]", "id": "algebra-L2-329aa9e2436836fc3a98", "source_id": "algebra-329aa9e2436836fc3a98", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 4*x**2 - 104*x - 2028 = 0 for x. List all roots in increasing order.", "answer": "[-13, 39]", "expr": "4*x**2 - 104*x - 2028", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-10*x + 9)*(x + 14). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -10*x**2 - 131*x + 126", "id": "algebra-L2-e9602add0f4d4cad2f52", "source_id": "algebra-e9602add0f4d4cad2f52", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-10*x + 9)*(x + 14).", "answer": "-10*x**2 - 131*x + 126", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 6*x**2 - 168*x - 4968 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-18, 46]", "id": "algebra-L2-b0f809ba8ae903693faf", "source_id": "algebra-b0f809ba8ae903693faf", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 6*x**2 - 168*x - 4968 = 0 for x. List all roots in increasing order.", "answer": "[-18, 46]", "expr": "6*x**2 - 168*x - 4968", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 9*x**2 - 360*x + 2700 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*(x - 30)*(x - 10)", "id": "algebra-L2-d054b73ab2ce0c3b84d2", "source_id": "algebra-d054b73ab2ce0c3b84d2", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 9*x**2 - 360*x + 2700 over the integers.", "answer": "9*(x - 30)*(x - 10)", "expr": "9*x**2 - 360*x + 2700", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 8*x**2 - 456*x + 6448 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8*(x - 31)*(x - 26)", "id": "algebra-L2-cefd817a50c0eb582eee", "source_id": "algebra-cefd817a50c0eb582eee", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 8*x**2 - 456*x + 6448 over the integers.", "answer": "8*(x - 31)*(x - 26)", "expr": "8*x**2 - 456*x + 6448", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 9*x**2 - 9*x - 17820 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-44, 45]", "id": "algebra-L2-16bcefa33687de08b9fb", "source_id": "algebra-16bcefa33687de08b9fb", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 9*x**2 - 9*x - 17820 = 0 for x. List all roots in increasing order.", "answer": "[-44, 45]", "expr": "9*x**2 - 9*x - 17820", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 7*x**2 - 217*x - 4004 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 7*(x - 44)*(x + 13)", "id": "algebra-L2-7af459b6687bcbc4d8d8", "source_id": "algebra-7af459b6687bcbc4d8d8", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 7*x**2 - 217*x - 4004 over the integers.", "answer": "7*(x - 44)*(x + 13)", "expr": "7*x**2 - 217*x - 4004", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-18*x - 5)*(x + 27). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -18*x**2 - 491*x - 135", "id": "algebra-L2-95cf16751d459bbb135f", "source_id": "algebra-95cf16751d459bbb135f", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-18*x - 5)*(x + 27).", "answer": "-18*x**2 - 491*x - 135", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 12*x**2 - 204*x + 864 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12*(x - 9)*(x - 8)", "id": "algebra-L2-d0674fb32ba1552d4ddf", "source_id": "algebra-d0674fb32ba1552d4ddf", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 12*x**2 - 204*x + 864 over the integers.", "answer": "12*(x - 9)*(x - 8)", "expr": "12*x**2 - 204*x + 864", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 3*x**2 + 51*x - 504 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-24, 7]", "id": "algebra-L2-ce0e6d7cbd3d676f4ccd", "source_id": "algebra-ce0e6d7cbd3d676f4ccd", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 3*x**2 + 51*x - 504 = 0 for x. List all roots in increasing order.", "answer": "[-24, 7]", "expr": "3*x**2 + 51*x - 504", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (16*x - 2)*(x - 39). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 16*x**2 - 626*x + 78", "id": "algebra-L2-352770bdb6255350f22d", "source_id": "algebra-352770bdb6255350f22d", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (16*x - 2)*(x - 39).", "answer": "16*x**2 - 626*x + 78", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (16*x - 18)*(x + 42). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 16*x**2 + 654*x - 756", "id": "algebra-L2-dc6774c498ea8b0b67dd", "source_id": "algebra-dc6774c498ea8b0b67dd", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (16*x - 18)*(x + 42).", "answer": "16*x**2 + 654*x - 756", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-1*x + 8)*(x + 25). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -x**2 - 17*x + 200", "id": "algebra-L2-6ce26043535832bd990f", "source_id": "algebra-6ce26043535832bd990f", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-1*x + 8)*(x + 25).", "answer": "-x**2 - 17*x + 200", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-13*x + 28)*(x - 49). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -13*x**2 + 665*x - 1372", "id": "algebra-L2-fd335cef1ee795db3d12", "source_id": "algebra-fd335cef1ee795db3d12", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-13*x + 28)*(x - 49).", "answer": "-13*x**2 + 665*x - 1372", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 12*x**2 - 420*x + 3168 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12*(x - 24)*(x - 11)", "id": "algebra-L2-5056a22b36b12f35bf6b", "source_id": "algebra-5056a22b36b12f35bf6b", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 12*x**2 - 420*x + 3168 over the integers.", "answer": "12*(x - 24)*(x - 11)", "expr": "12*x**2 - 420*x + 3168", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (4*x + 17)*(x - 45). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4*x**2 - 163*x - 765", "id": "algebra-L2-e8e882444332d7a2cefd", "source_id": "algebra-e8e882444332d7a2cefd", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (4*x + 17)*(x - 45).", "answer": "4*x**2 - 163*x - 765", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (1*x + 9)*(x + 39). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: x**2 + 48*x + 351", "id": "algebra-L2-16c6132b0ce30b9316f7", "source_id": "algebra-16c6132b0ce30b9316f7", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (1*x + 9)*(x + 39).", "answer": "x**2 + 48*x + 351", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x**2 + 48*x - 3456 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-36, 24]", "id": "algebra-L2-7566e987a0e255d1c8c1", "source_id": "algebra-7566e987a0e255d1c8c1", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 4*x**2 + 48*x - 3456 = 0 for x. List all roots in increasing order.", "answer": "[-36, 24]", "expr": "4*x**2 + 48*x - 3456", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-3*x - 21)*(x - 40). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -3*x**2 + 99*x + 840", "id": "algebra-L2-3396b5230efde401775d", "source_id": "algebra-3396b5230efde401775d", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-3*x - 21)*(x - 40).", "answer": "-3*x**2 + 99*x + 840", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 4*x**2 - 92*x - 96 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-1, 24]", "id": "algebra-L2-770365cd9fea4442e383", "source_id": "algebra-770365cd9fea4442e383", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 4*x**2 - 92*x - 96 = 0 for x. List all roots in increasing order.", "answer": "[-1, 24]", "expr": "4*x**2 - 92*x - 96", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 4*x**2 - 196*x + 720 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4*(x - 45)*(x - 4)", "id": "algebra-L2-57797df36fe3d426a64c", "source_id": "algebra-57797df36fe3d426a64c", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 4*x**2 - 196*x + 720 over the integers.", "answer": "4*(x - 45)*(x - 4)", "expr": "4*x**2 - 196*x + 720", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (14*x - 35)*(x + 43). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 14*x**2 + 567*x - 1505", "id": "algebra-L2-1a618fa178dd3fd6c4fd", "source_id": "algebra-1a618fa178dd3fd6c4fd", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (14*x - 35)*(x + 43).", "answer": "14*x**2 + 567*x - 1505", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 11*x**2 + 220*x + 1001 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-13, -7]", "id": "algebra-L2-a090c599814bae1ff0e9", "source_id": "algebra-a090c599814bae1ff0e9", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 11*x**2 + 220*x + 1001 = 0 for x. List all roots in increasing order.", "answer": "[-13, -7]", "expr": "11*x**2 + 220*x + 1001", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 5*x**2 - 425*x + 8750 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [35, 50]", "id": "algebra-L2-febeb848d527bfc44ae5", "source_id": "algebra-febeb848d527bfc44ae5", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 5*x**2 - 425*x + 8750 = 0 for x. List all roots in increasing order.", "answer": "[35, 50]", "expr": "5*x**2 - 425*x + 8750", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve x**2 + 16*x + 55 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-11, -5]", "id": "algebra-L2-b6d214c0d0236c5eaa12", "source_id": "algebra-b6d214c0d0236c5eaa12", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve x**2 + 16*x + 55 = 0 for x. List all roots in increasing order.", "answer": "[-11, -5]", "expr": "x**2 + 16*x + 55", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-12*x + 46)*(x - 38). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -12*x**2 + 502*x - 1748", "id": "algebra-L2-0cfa75fb92322c9d5fe0", "source_id": "algebra-0cfa75fb92322c9d5fe0", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-12*x + 46)*(x - 38).", "answer": "-12*x**2 + 502*x - 1748", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (10*x + 13)*(x - 42). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*x**2 - 407*x - 546", "id": "algebra-L2-97d9804eaccac6aafe42", "source_id": "algebra-97d9804eaccac6aafe42", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (10*x + 13)*(x - 42).", "answer": "10*x**2 - 407*x - 546", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 10*x**2 - 590*x + 4500 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*(x - 50)*(x - 9)", "id": "algebra-L2-8fd688cea01b0b79d083", "source_id": "algebra-8fd688cea01b0b79d083", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 10*x**2 - 590*x + 4500 over the integers.", "answer": "10*(x - 50)*(x - 9)", "expr": "10*x**2 - 590*x + 4500", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor x**2 - 9*x - 136 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: (x - 17)*(x + 8)", "id": "algebra-L2-9edcc3d157280a0eb421", "source_id": "algebra-9edcc3d157280a0eb421", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor x**2 - 9*x - 136 over the integers.", "answer": "(x - 17)*(x + 8)", "expr": "x**2 - 9*x - 136", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (4*x + 42)*(x + 11). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4*x**2 + 86*x + 462", "id": "algebra-L2-571e6cffef0129a46d1e", "source_id": "algebra-571e6cffef0129a46d1e", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (4*x + 42)*(x + 11).", "answer": "4*x**2 + 86*x + 462", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (6*x - 37)*(x + 33). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 6*x**2 + 161*x - 1221", "id": "algebra-L2-a63c1893a5d15986ac34", "source_id": "algebra-a63c1893a5d15986ac34", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (6*x - 37)*(x + 33).", "answer": "6*x**2 + 161*x - 1221", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-12*x - 47)*(x - 5). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -12*x**2 + 13*x + 235", "id": "algebra-L2-3f4399e7e6c3b1c76602", "source_id": "algebra-3f4399e7e6c3b1c76602", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-12*x - 47)*(x - 5).", "answer": "-12*x**2 + 13*x + 235", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (5*x + 47)*(x + 30). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x**2 + 197*x + 1410", "id": "algebra-L2-d95dede0d1e694b3943a", "source_id": "algebra-d95dede0d1e694b3943a", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (5*x + 47)*(x + 30).", "answer": "5*x**2 + 197*x + 1410", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (20*x - 20)*(x - 44). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 20*x**2 - 900*x + 880", "id": "algebra-L2-dbedbf9028fcd02a52d0", "source_id": "algebra-dbedbf9028fcd02a52d0", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (20*x - 20)*(x - 44).", "answer": "20*x**2 - 900*x + 880", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 9*x**2 - 171*x - 1350 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*(x - 25)*(x + 6)", "id": "algebra-L2-6b397f9c2788fae99d92", "source_id": "algebra-6b397f9c2788fae99d92", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 9*x**2 - 171*x - 1350 over the integers.", "answer": "9*(x - 25)*(x + 6)", "expr": "9*x**2 - 171*x - 1350", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 12*x**2 - 28812 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12*(x - 49)*(x + 49)", "id": "algebra-L2-54b76b40f2f3a91ed93c", "source_id": "algebra-54b76b40f2f3a91ed93c", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 12*x**2 - 28812 over the integers.", "answer": "12*(x - 49)*(x + 49)", "expr": "12*x**2 - 28812", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-7*x - 50)*(x - 23). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -7*x**2 + 111*x + 1150", "id": "algebra-L2-a6db297886a6f4da1716", "source_id": "algebra-a6db297886a6f4da1716", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-7*x - 50)*(x - 23).", "answer": "-7*x**2 + 111*x + 1150", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (3*x - 20)*(x - 45). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*x**2 - 155*x + 900", "id": "algebra-L2-0170807af67a96d83bb7", "source_id": "algebra-0170807af67a96d83bb7", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (3*x - 20)*(x - 45).", "answer": "3*x**2 - 155*x + 900", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 10*x**2 + 50*x - 2040 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-17, 12]", "id": "algebra-L2-9b4fcab9a6467a8adce3", "source_id": "algebra-9b4fcab9a6467a8adce3", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 10*x**2 + 50*x - 2040 = 0 for x. List all roots in increasing order.", "answer": "[-17, 12]", "expr": "10*x**2 + 50*x - 2040", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (9*x + 25)*(x - 11). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*x**2 - 74*x - 275", "id": "algebra-L2-ac52a94797807482a7fc", "source_id": "algebra-ac52a94797807482a7fc", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (9*x + 25)*(x - 11).", "answer": "9*x**2 - 74*x - 275", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve 10*x**2 - 140*x - 17150 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [-35, 49]", "id": "algebra-L2-cb9ec1f8e78900785bb4", "source_id": "algebra-cb9ec1f8e78900785bb4", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve 10*x**2 - 140*x - 17150 = 0 for x. List all roots in increasing order.", "answer": "[-35, 49]", "expr": "10*x**2 - 140*x - 17150", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-11*x + 24)*(x + 29). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -11*x**2 - 295*x + 696", "id": "algebra-L2-f1a7c15aa428b3d5d033", "source_id": "algebra-f1a7c15aa428b3d5d033", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-11*x + 24)*(x + 29).", "answer": "-11*x**2 - 295*x + 696", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Expand (-3*x - 20)*(x + 28). Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: -3*x**2 - 104*x - 560", "id": "algebra-L2-b937591b4a321fd94f5a", "source_id": "algebra-b937591b4a321fd94f5a", "topic": "algebra", "level": 2, "kind": "algebra", "question": "Expand (-3*x - 20)*(x + 28).", "answer": "-3*x**2 - 104*x - 560", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve x**2 - 42*x + 272 = 0 for x. List all roots in increasing order. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: [8, 34]", "id": "algebra-L2-529f704143f20480b18b", "source_id": "algebra-529f704143f20480b18b", "topic": "algebra", "level": 2, "kind": "quadratic", "question": "Solve x**2 - 42*x + 272 = 0 for x. List all roots in increasing order.", "answer": "[8, 34]", "expr": "x**2 - 42*x + 272", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Factor 8*x**2 - 592*x + 10944 over the integers. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8*(x - 38)*(x - 36)", "id": "algebra-L2-5b58b2ee892eb2b88a09", "source_id": "algebra-5b58b2ee892eb2b88a09", "topic": "algebra", "level": 2, "kind": "factor", "question": "Factor 8*x**2 - 592*x + 10944 over the integers.", "answer": "8*(x - 38)*(x - 36)", "expr": "8*x**2 - 592*x + 10944", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 5*x + 1*y = 38, -6*x + 4*y = -30 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: (7, 3)", "id": "algebra-L3-b50d21fb6641984c1e04", "source_id": "algebra-b50d21fb6641984c1e04", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 5*x + 1*y = 38, -6*x + 4*y = -30 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(7, 3)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x + 6*y = 34, -4*x - 4*y = -28 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: (4, 3)", "id": "algebra-L3-ad6e7f372cb33d03006c", "source_id": "algebra-ad6e7f372cb33d03006c", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x + 6*y = 34, -4*x - 4*y = -28 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(4, 3)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (11*x**2 + 239*x - 322)/(x - (-23)) for x != -23. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11*x - 14", "id": "algebra-L3-259d395916b8cbcdc0bd", "source_id": "algebra-259d395916b8cbcdc0bd", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (11*x**2 + 239*x - 322)/(x - (-23)) for x != -23.", "answer": "11*x - 14", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (5*x**2 - 81*x + 286)/(x - (11)) for x != 11. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x - 26", "id": "algebra-L3-b59f4e5eaef5da15b1c3", "source_id": "algebra-b59f4e5eaef5da15b1c3", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (5*x**2 - 81*x + 286)/(x - (11)) for x != 11.", "answer": "5*x - 26", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 2*x - 3*y = -21, -4*x + 3*y = 21 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-L3-23dc554843bfe72eb35c", "source_id": "algebra-23dc554843bfe72eb35c", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 2*x - 3*y = -21, -4*x + 3*y = 21 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(0, 7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (5*x**2 - 24*x - 128)/(x - (8)) for x != 8. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x + 16", "id": "algebra-L3-e1a9a1d98c4d971b43a3", "source_id": "algebra-e1a9a1d98c4d971b43a3", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (5*x**2 - 24*x - 128)/(x - (8)) for x != 8.", "answer": "5*x + 16", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -5*x + 1*y = -4, 4*x - 6*y = -2 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, 1)", "id": "algebra-L3-c414c89224379cc07cf9", "source_id": "algebra-c414c89224379cc07cf9", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -5*x + 1*y = -4, 4*x - 6*y = -2 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(1, 1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -3*x - 4*y = 7, 1*x - 4*y = 3 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, -1)", "id": "algebra-L3-a3ade6dd1f291e54d176", "source_id": "algebra-a3ade6dd1f291e54d176", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -3*x - 4*y = 7, 1*x - 4*y = 3 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-1, -1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (6*x**2 + 202*x - 504)/(x - (-36)) for x != -36. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 6*x - 14", "id": "algebra-L3-0c7456e73bade541dd15", "source_id": "algebra-0c7456e73bade541dd15", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (6*x**2 + 202*x - 504)/(x - (-36)) for x != -36.", "answer": "6*x - 14", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (x**2 + 75*x + 1316)/(x - (-47)) for x != -47. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: x + 28", "id": "algebra-L3-25307a65183bc3efaa29", "source_id": "algebra-25307a65183bc3efaa29", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (x**2 + 75*x + 1316)/(x - (-47)) for x != -47.", "answer": "x + 28", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 3*x - 3*y = 6, -2*x + 6*y = 16 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: (7, 5)", "id": "algebra-L3-f75b5c1c796400b1d63c", "source_id": "algebra-f75b5c1c796400b1d63c", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 3*x - 3*y = 6, -2*x + 6*y = 16 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(7, 5)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (x**2 + 12*x - 85)/(x - (-17)) for x != -17. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: x - 5", "id": "algebra-L3-d154cb366e842692af72", "source_id": "algebra-d154cb366e842692af72", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (x**2 + 12*x - 85)/(x - (-17)) for x != -17.", "answer": "x - 5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (2*x**2 - 91*x + 629)/(x - (37)) for x != 37. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 2*x - 17", "id": "algebra-L3-2a4b9e082dda60a09b0f", "source_id": "algebra-2a4b9e082dda60a09b0f", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (2*x**2 - 91*x + 629)/(x - (37)) for x != 37.", "answer": "2*x - 17", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (10*x**2 + 109*x + 232)/(x - (-8)) for x != -8. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*x + 29", "id": "algebra-L3-73b09ada4fa4b48fe640", "source_id": "algebra-73b09ada4fa4b48fe640", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (10*x**2 + 109*x + 232)/(x - (-8)) for x != -8.", "answer": "10*x + 29", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x - 6*y = -48, 6*x - 3*y = -48 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: (-6, 4)", "id": "algebra-L3-e96a211888507859fdca", "source_id": "algebra-e96a211888507859fdca", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x - 6*y = -48, 6*x - 3*y = -48 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-6, 4)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (11*x**2 - 292*x - 448)/(x - (28)) for x != 28. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11*x + 16", "id": "algebra-L3-487f001cf4c33038e547", "source_id": "algebra-487f001cf4c33038e547", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (11*x**2 - 292*x - 448)/(x - (28)) for x != 28.", "answer": "11*x + 16", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (3*x**2 + 15*x + 12)/(x - (-4)) for x != -4. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 3*x + 3", "id": "algebra-L3-0e1b907ab2a4cfd6fd79", "source_id": "algebra-0e1b907ab2a4cfd6fd79", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (3*x**2 + 15*x + 12)/(x - (-4)) for x != -4.", "answer": "3*x + 3", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (10*x**2 + 352*x + 726)/(x - (-33)) for x != -33. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*x + 22", "id": "algebra-L3-f3464e8631357f0d9d42", "source_id": "algebra-f3464e8631357f0d9d42", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (10*x**2 + 352*x + 726)/(x - (-33)) for x != -33.", "answer": "10*x + 22", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 1*x - 6*y = -62, 2*x - 6*y = -70 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, 9)", "id": "algebra-L3-a1238a6def42e2ec5ac9", "source_id": "algebra-a1238a6def42e2ec5ac9", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 1*x - 6*y = -62, 2*x - 6*y = -70 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-8, 9)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -6*x - 5*y = 6, -6*x + 5*y = -54 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: (4, -6)", "id": "algebra-L3-8ddbadf2821e45b63f5e", "source_id": "algebra-8ddbadf2821e45b63f5e", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -6*x - 5*y = 6, -6*x + 5*y = -54 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(4, -6)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -4*x - 3*y = -13, -2*x + 5*y = 39 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: (-2, 7)", "id": "algebra-L3-a175fd0ca2b6c1e017cc", "source_id": "algebra-a175fd0ca2b6c1e017cc", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -4*x - 3*y = -13, -2*x + 5*y = 39 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-2, 7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 6*x - 4*y = -30, -4*x - 5*y = -3 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: (-3, 3)", "id": "algebra-L3-4f24a508be9c2a4c494d", "source_id": "algebra-4f24a508be9c2a4c494d", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 6*x - 4*y = -30, -4*x - 5*y = -3 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-3, 3)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x - 6*y = 40, 2*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: (1, -6)", "id": "algebra-L3-f2f379179fa3719fb122", "source_id": "algebra-f2f379179fa3719fb122", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x - 6*y = 40, 2*x - 2*y = 14 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(1, -6)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (10*x**2 - 496*x + 294)/(x - (49)) for x != 49. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 10*x - 6", "id": "algebra-L3-9df6e8114ebb0bd61456", "source_id": "algebra-9df6e8114ebb0bd61456", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (10*x**2 - 496*x + 294)/(x - (49)) for x != 49.", "answer": "10*x - 6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 2*x - 6*y = 46, -5*x + 4*y = -38 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: (2, -7)", "id": "algebra-L3-5421e22494b67a22d6bf", "source_id": "algebra-5421e22494b67a22d6bf", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 2*x - 6*y = 46, -5*x + 4*y = -38 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(2, -7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (5*x**2 + 191*x - 360)/(x - (-40)) for x != -40. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x - 9", "id": "algebra-L3-1647076ff8cbd67fc504", "source_id": "algebra-1647076ff8cbd67fc504", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (5*x**2 + 191*x - 360)/(x - (-40)) for x != -40.", "answer": "5*x - 9", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -6*x + 4*y = 18, -2*x - 6*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: (-7, -6)", "id": "algebra-L3-c788c82eec61f9610daf", "source_id": "algebra-c788c82eec61f9610daf", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -6*x + 4*y = 18, -2*x - 6*y = 50 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-7, -6)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 1*x - 1*y = 10, 6*x + 3*y = -3 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: (3, -7)", "id": "algebra-L3-0d9da4831687880681fe", "source_id": "algebra-0d9da4831687880681fe", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 1*x - 1*y = 10, 6*x + 3*y = -3 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(3, -7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 6*x + 6*y = -6, 5*x - 5*y = 65 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: (6, -7)", "id": "algebra-L3-bb9347488ea5b9239db7", "source_id": "algebra-bb9347488ea5b9239db7", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 6*x + 6*y = -6, 5*x - 5*y = 65 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(6, -7)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (11*x**2 + 504*x + 880)/(x - (-44)) for x != -44. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11*x + 20", "id": "algebra-L3-c178b56ee6dd0dc7c05f", "source_id": "algebra-c178b56ee6dd0dc7c05f", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (11*x**2 + 504*x + 880)/(x - (-44)) for x != -44.", "answer": "11*x + 20", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (6*x**2 + 249*x + 360)/(x - (-40)) for x != -40. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 6*x + 9", "id": "algebra-L3-b3e9e1941ea59662892b", "source_id": "algebra-b3e9e1941ea59662892b", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (6*x**2 + 249*x + 360)/(x - (-40)) for x != -40.", "answer": "6*x + 9", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 5*x + 4*y = 77, 6*x - 5*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: (9, 8)", "id": "algebra-L3-a9ece18b329028ffeeb7", "source_id": "algebra-a9ece18b329028ffeeb7", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 5*x + 4*y = 77, 6*x - 5*y = 14 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(9, 8)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -2*x - 4*y = 2, -6*x + 4*y = -10 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, -1)", "id": "algebra-L3-0ec3897457e39cf5bbb3", "source_id": "algebra-0ec3897457e39cf5bbb3", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -2*x - 4*y = 2, -6*x + 4*y = -10 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(1, -1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (11*x**2 + 167*x - 144)/(x - (-16)) for x != -16. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 11*x - 9", "id": "algebra-L3-aa25beba513022b61d18", "source_id": "algebra-aa25beba513022b61d18", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (11*x**2 + 167*x - 144)/(x - (-16)) for x != -16.", "answer": "11*x - 9", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (x**2 - 12*x - 133)/(x - (-7)) for x != -7. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: x - 19", "id": "algebra-L3-2ee4f888ffc3e698b485", "source_id": "algebra-2ee4f888ffc3e698b485", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (x**2 - 12*x - 133)/(x - (-7)) for x != -7.", "answer": "x - 19", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (9*x**2 + 413*x - 46)/(x - (-46)) for x != -46. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 9*x - 1", "id": "algebra-L3-99e15cb44511b34d74e1", "source_id": "algebra-99e15cb44511b34d74e1", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (9*x**2 + 413*x - 46)/(x - (-46)) for x != -46.", "answer": "9*x - 1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -1*x - 6*y = 4, -2*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: (2, -1)", "id": "algebra-L3-acd80bdc43255e50502d", "source_id": "algebra-acd80bdc43255e50502d", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -1*x - 6*y = 4, -2*x + 2*y = -6 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(2, -1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (8*x**2 + 235*x - 150)/(x - (-30)) for x != -30. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 8*x - 5", "id": "algebra-L3-e828a3cf26e3336eb719", "source_id": "algebra-e828a3cf26e3336eb719", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (8*x**2 + 235*x - 150)/(x - (-30)) for x != -30.", "answer": "8*x - 5", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (6*x**2 - 200*x - 136)/(x - (34)) for x != 34. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 6*x + 4", "id": "algebra-L3-57d4746d6b55e2d6ca61", "source_id": "algebra-57d4746d6b55e2d6ca61", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (6*x**2 - 200*x - 136)/(x - (34)) for x != 34.", "answer": "6*x + 4", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (5*x**2 + 241*x + 282)/(x - (-47)) for x != -47. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x + 6", "id": "algebra-L3-90315a81aebb4ab9f8b4", "source_id": "algebra-90315a81aebb4ab9f8b4", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (5*x**2 + 241*x + 282)/(x - (-47)) for x != -47.", "answer": "5*x + 6", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x + 1*y = -12, -1*x - 3*y = 3 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: (-3, 0)", "id": "algebra-L3-ab294a28c5dad1093d11", "source_id": "algebra-ab294a28c5dad1093d11", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x + 1*y = -12, -1*x - 3*y = 3 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-3, 0)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (5*x**2 - 262*x + 1269)/(x - (47)) for x != 47. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 5*x - 27", "id": "algebra-L3-63187691a963cfb64011", "source_id": "algebra-63187691a963cfb64011", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (5*x**2 - 262*x + 1269)/(x - (47)) for x != 47.", "answer": "5*x - 27", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x - 4*y = -28, 6*x + 1*y = 21 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: (2, 9)", "id": "algebra-L3-d4c4456d11df0fffa83e", "source_id": "algebra-d4c4456d11df0fffa83e", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x - 4*y = -28, 6*x + 1*y = 21 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(2, 9)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 4*x - 1*y = -5, -1*x + 1*y = 5 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, 5)", "id": "algebra-L3-bee579680cb51f5330b1", "source_id": "algebra-bee579680cb51f5330b1", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 4*x - 1*y = -5, -1*x + 1*y = 5 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(0, 5)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: -1*x - 5*y = -8, 2*x + 1*y = -11 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: (-7, 3)", "id": "algebra-L3-136b3cb95a42a506564b", "source_id": "algebra-136b3cb95a42a506564b", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: -1*x - 5*y = -8, 2*x + 1*y = -11 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-7, 3)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 1*x + 4*y = -6, -6*x + 6*y = -24 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: (2, -2)", "id": "algebra-L3-d42249a09bc31038e02f", "source_id": "algebra-d42249a09bc31038e02f", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 1*x + 4*y = -6, -6*x + 6*y = -24 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(2, -2)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (12*x**2 - 349*x + 29)/(x - (29)) for x != 29. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 12*x - 1", "id": "algebra-L3-5afe382bc6ad518bcced", "source_id": "algebra-5afe382bc6ad518bcced", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (12*x**2 - 349*x + 29)/(x - (29)) for x != 29.", "answer": "12*x - 1", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (4*x**2 - 10*x - 6)/(x - (3)) for x != 3. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 4*x + 2", "id": "algebra-L3-358b52b54816cd8127cb", "source_id": "algebra-358b52b54816cd8127cb", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (4*x**2 - 10*x - 6)/(x - (3)) for x != 3.", "answer": "4*x + 2", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Simplify (2*x**2 - 24*x + 64)/(x - (8)) for x != 8. Give the final answer on the last line as 'Answer: <expression>'.", "output": "Answer: 2*x - 8", "id": "algebra-L3-e7bfedb2f1093e0fdd48", "source_id": "algebra-e7bfedb2f1093e0fdd48", "topic": "algebra", "level": 3, "kind": "simplify", "question": "Simplify (2*x**2 - 24*x + 64)/(x - (8)) for x != 8.", "answer": "2*x - 8", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
| {"instruction": "Solve the system: 3*x - 3*y = -6, -2*x + 4*y = 2 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: (-3, -1)", "id": "algebra-L3-ac6fc83791f684c754f2", "source_id": "algebra-ac6fc83791f684c754f2", "topic": "algebra", "level": 3, "kind": "solve", "question": "Solve the system: 3*x - 3*y = -6, -2*x + 4*y = 2 for x and y. Give the answer as an ordered pair (x, y).", "answer": "(-3, -1)", "expr": "", "primitive": "", "lower": "", "upper": "", "split": "test"} |
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