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question string | answer string | metadata string |
|---|---|---|
Subtract the complex numbers: (-10.0 - 2.0i) - (-3.0 - 3.0i) | -7.0 + 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-10.0, -2.0], "num2": [-3.0, -3.0], "operation": "-", "result": [-7, 1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-6.0 + 4.0i) + (1.0 - 7.0i) | -5.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 1, "num1": [-6.0, 4.0], "num2": [1.0, -7.0], "operation": "+", "result": [-5, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (7.0 - 7.0i) - (-5.0 + 2.0i) | 12.0 - 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 2, "num1": [7.0, -7.0], "num2": [-5.0, 2.0], "operation": "-", "result": [12, -9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (5.0 - 2.0i) + (-8.0 - 1.0i) | -3.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 3, "num1": [5.0, -2.0], "num2": [-8.0, -1.0], "operation": "+", "result": [-3, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (2.0 - 9.0i) × (8.0 + 8.0i) | 88.0 - 56.0i | {"source_dataset": "complex_arithmetic", "source_index": 4, "num1": [2.0, -9.0], "num2": [8.0, 8.0], "operation": "*", "result": [88, -56], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (3.0 + 7.0i) + (4.0 + 8.0i) | 7.0 + 15.0i | {"source_dataset": "complex_arithmetic", "source_index": 5, "num1": [3.0, 7.0], "num2": [4.0, 8.0], "operation": "+", "result": [7, 15], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-6.0 + 7.0i) - (7.0 - 1.0i) | -13.0 + 8.0i | {"source_dataset": "complex_arithmetic", "source_index": 6, "num1": [-6.0, 7.0], "num2": [7.0, -1.0], "operation": "-", "result": [-13, 8], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (3.0 - 7.0i) + (7.00i) | 3.00 | {"source_dataset": "complex_arithmetic", "source_index": 7, "num1": [3.0, -7.0], "num2": [0.0, 7.0], "operation": "+", "result": [3, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-2.0 + 1.0i) - (10.0 - 3.0i) | -12.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 8, "num1": [-2.0, 1.0], "num2": [10.0, -3.0], "operation": "-", "result": [-12, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (6.0 + 7.0i) + (-5.0 - 3.0i) | 1.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 9, "num1": [6.0, 7.0], "num2": [-5.0, -3.0], "operation": "+", "result": [1, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-51.0 + 21.0i) ÷ (5.0 + 1.0i) | -9.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 10, "num1": [-51.0, 21.0], "num2": [5.0, 1.0], "operation": "/", "result": [-9, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 4.0i) - (6.0 + 5.0i) | -10.0 - 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 11, "num1": [-4.0, 4.0], "num2": [6.0, 5.0], "operation": "-", "result": [-10, -1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-38.0 + 34.0i) ÷ (7.0 - 1.0i) | -6.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 12, "num1": [-38.0, 34.0], "num2": [7.0, -1.0], "operation": "/", "result": [-6, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-4.0 - 6.0i) + (-1.0 - 8.0i) | -5.0 - 14.0i | {"source_dataset": "complex_arithmetic", "source_index": 13, "num1": [-4.0, -6.0], "num2": [-1.0, -8.0], "operation": "+", "result": [-5, -14], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (135.0 + 20.0i) ÷ (5.0 + 10.0i) | 7.0 - 10.0i | {"source_dataset": "complex_arithmetic", "source_index": 14, "num1": [135.0, 20.0], "num2": [5.0, 10.0], "operation": "/", "result": [7, -10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (8.0 + 9.0i) + (-10.0 - 3.0i) | -2.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 15, "num1": [8.0, 9.0], "num2": [-10.0, -3.0], "operation": "+", "result": [-2, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 10.0i) - (-4.0 - 9.0i) | 19.00i | {"source_dataset": "complex_arithmetic", "source_index": 16, "num1": [-4.0, 10.0], "num2": [-4.0, -9.0], "operation": "-", "result": [0, 19], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (10.0 + 4.0i) + (-10.0 - 6.0i) | -2.00i | {"source_dataset": "complex_arithmetic", "source_index": 17, "num1": [10.0, 4.0], "num2": [-10.0, -6.0], "operation": "+", "result": [0, -2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (8.0 - 6.0i) + (-2.0 - 3.0i) | 6.0 - 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 18, "num1": [8.0, -6.0], "num2": [-2.0, -3.0], "operation": "+", "result": [6, -9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (7.0 - 4.0i) - (-1.00i) | 7.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 19, "num1": [7.0, -4.0], "num2": [0.0, -1.0], "operation": "-", "result": [7, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (47.0 + 4.0i) ÷ (-3.0 + 4.0i) | -5.0 - 8.0i | {"source_dataset": "complex_arithmetic", "source_index": 20, "num1": [47.0, 4.0], "num2": [-3.0, 4.0], "operation": "/", "result": [-5, -8], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-1.0 - 2.0i) - (5.0 - 8.0i) | -6.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 21, "num1": [-1.0, -2.0], "num2": [5.0, -8.0], "operation": "-", "result": [-6, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (10.0 + 9.0i) - (2.0 + 7.0i) | 8.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 22, "num1": [10.0, 9.0], "num2": [2.0, 7.0], "operation": "-", "result": [8, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-1.0 + 6.0i) - (-3.0 + 4.0i) | 2.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 23, "num1": [-1.0, 6.0], "num2": [-3.0, 4.0], "operation": "-", "result": [2, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (3.0 - 3.0i) + (4.0 - 1.0i) | 7.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 24, "num1": [3.0, -3.0], "num2": [4.0, -1.0], "operation": "+", "result": [7, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (3.0 + 4.0i) + (3.0 - 2.0i) | 6.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 25, "num1": [3.0, 4.0], "num2": [3.0, -2.0], "operation": "+", "result": [6, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (6.0 - 7.0i) - (9.0 + 8.0i) | -3.0 - 15.0i | {"source_dataset": "complex_arithmetic", "source_index": 26, "num1": [6.0, -7.0], "num2": [9.0, 8.0], "operation": "-", "result": [-3, -15], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-7.0 - 5.0i) - (-8.0 + 9.0i) | 1.0 - 14.0i | {"source_dataset": "complex_arithmetic", "source_index": 27, "num1": [-7.0, -5.0], "num2": [-8.0, 9.0], "operation": "-", "result": [1, -14], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (20.0 + 22.0i) ÷ (4.0 - 6.0i) | -1.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 28, "num1": [20.0, 22.0], "num2": [4.0, -6.0], "operation": "/", "result": [-1, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 - 10.0i) + (-2.0 - 6.0i) | 7.0 - 16.0i | {"source_dataset": "complex_arithmetic", "source_index": 29, "num1": [9.0, -10.0], "num2": [-2.0, -6.0], "operation": "+", "result": [7, -16], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 - 5.0i) + (1.0 + 7.0i) | 10.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 30, "num1": [9.0, -5.0], "num2": [1.0, 7.0], "operation": "+", "result": [10, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (6.0 + 5.0i) + (8.0 - 5.0i) | 14.00 | {"source_dataset": "complex_arithmetic", "source_index": 31, "num1": [6.0, 5.0], "num2": [8.0, -5.0], "operation": "+", "result": [14, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (6.0 - 7.0i) × (-7.00i) | -49.0 - 42.0i | {"source_dataset": "complex_arithmetic", "source_index": 32, "num1": [6.0, -7.0], "num2": [0.0, -7.0], "operation": "*", "result": [-49, -42], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (3.0 + 4.0i) - (-9.0 + 6.0i) | 12.0 - 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 33, "num1": [3.0, 4.0], "num2": [-9.0, 6.0], "operation": "-", "result": [12, -2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (2.0 - 4.0i) + (-1.0 - 9.0i) | 1.0 - 13.0i | {"source_dataset": "complex_arithmetic", "source_index": 34, "num1": [2.0, -4.0], "num2": [-1.0, -9.0], "operation": "+", "result": [1, -13], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.00i) - (-3.0 - 4.0i) | 3.00 | {"source_dataset": "complex_arithmetic", "source_index": 35, "num1": [0.0, -4.0], "num2": [-3.0, -4.0], "operation": "-", "result": [3, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (-7.0 - 1.0i) × (-2.0 + 3.0i) | 17.0 - 19.0i | {"source_dataset": "complex_arithmetic", "source_index": 36, "num1": [-7.0, -1.0], "num2": [-2.0, 3.0], "operation": "*", "result": [17, -19], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (1.0 + 9.0i) + (-5.0 - 3.0i) | -4.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 37, "num1": [1.0, 9.0], "num2": [-5.0, -3.0], "operation": "+", "result": [-4, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (7.0 + 3.0i) + (1.0 + 1.0i) | 8.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 38, "num1": [7.0, 3.0], "num2": [1.0, 1.0], "operation": "+", "result": [8, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (4.00) - (7.0 + 7.0i) | -3.0 - 7.0i | {"source_dataset": "complex_arithmetic", "source_index": 39, "num1": [4.0, 0.0], "num2": [7.0, 7.0], "operation": "-", "result": [-3, -7], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (5.0 + 6.0i) + (-1.0 - 5.0i) | 4.0 + 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 40, "num1": [5.0, 6.0], "num2": [-1.0, -5.0], "operation": "+", "result": [4, 1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (4.0 - 8.0i) - (-6.0 + 2.0i) | 10.0 - 10.0i | {"source_dataset": "complex_arithmetic", "source_index": 41, "num1": [4.0, -8.0], "num2": [-6.0, 2.0], "operation": "-", "result": [10, -10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-9.0 + 5.0i) - (-10.0 + 6.0i) | 1.0 - 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 42, "num1": [-9.0, 5.0], "num2": [-10.0, 6.0], "operation": "-", "result": [1, -1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 - 7.0i) + (-4.00i) | 9.0 - 11.0i | {"source_dataset": "complex_arithmetic", "source_index": 43, "num1": [9.0, -7.0], "num2": [0.0, -4.0], "operation": "+", "result": [9, -11], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-10.0 + 7.0i) - (-10.00i) | -10.0 + 17.0i | {"source_dataset": "complex_arithmetic", "source_index": 44, "num1": [-10.0, 7.0], "num2": [0.0, -10.0], "operation": "-", "result": [-10, 17], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-4.0 + 7.0i) + (-7.0 - 2.0i) | -11.0 + 5.0i | {"source_dataset": "complex_arithmetic", "source_index": 45, "num1": [-4.0, 7.0], "num2": [-7.0, -2.0], "operation": "+", "result": [-11, 5], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-4.00) + (-5.0 + 10.0i) | -9.0 + 10.0i | {"source_dataset": "complex_arithmetic", "source_index": 46, "num1": [-4.0, 0.0], "num2": [-5.0, 10.0], "operation": "+", "result": [-9, 10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 - 2.0i) + (-6.0 + 1.0i) | 3.0 - 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 47, "num1": [9.0, -2.0], "num2": [-6.0, 1.0], "operation": "+", "result": [3, -1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-8.0 + 5.0i) + (8.0 + 8.0i) | 13.00i | {"source_dataset": "complex_arithmetic", "source_index": 48, "num1": [-8.0, 5.0], "num2": [8.0, 8.0], "operation": "+", "result": [0, 13], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-5.0 - 5.0i) + (2.0 + 4.0i) | -3.0 - 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 49, "num1": [-5.0, -5.0], "num2": [2.0, 4.0], "operation": "+", "result": [-3, -1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (8.0 + 7.0i) - (7.0 + 8.0i) | 1.0 - 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 50, "num1": [8.0, 7.0], "num2": [7.0, 8.0], "operation": "-", "result": [1, -1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (61.0 - 27.0i) ÷ (1.0 - 7.0i) | 5.0 + 8.0i | {"source_dataset": "complex_arithmetic", "source_index": 51, "num1": [61.0, -27.0], "num2": [1.0, -7.0], "operation": "/", "result": [5, 8], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-7.0 - 2.0i) - (-1.0 + 3.0i) | -6.0 - 5.0i | {"source_dataset": "complex_arithmetic", "source_index": 52, "num1": [-7.0, -2.0], "num2": [-1.0, 3.0], "operation": "-", "result": [-6, -5], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (6.0 + 7.0i) - (-6.0 + 5.0i) | 12.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 53, "num1": [6.0, 7.0], "num2": [-6.0, 5.0], "operation": "-", "result": [12, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (2.0 - 4.0i) + (-7.00) | -5.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 54, "num1": [2.0, -4.0], "num2": [-7.0, 0.0], "operation": "+", "result": [-5, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (1.0 - 9.0i) + (8.0 - 10.0i) | 9.0 - 19.0i | {"source_dataset": "complex_arithmetic", "source_index": 55, "num1": [1.0, -9.0], "num2": [8.0, -10.0], "operation": "+", "result": [9, -19], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-9.0 + 1.0i) + (3.0 - 9.0i) | -6.0 - 8.0i | {"source_dataset": "complex_arithmetic", "source_index": 56, "num1": [-9.0, 1.0], "num2": [3.0, -9.0], "operation": "+", "result": [-6, -8], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 9.0i) - (-5.0 - 3.0i) | 1.0 + 12.0i | {"source_dataset": "complex_arithmetic", "source_index": 57, "num1": [-4.0, 9.0], "num2": [-5.0, -3.0], "operation": "-", "result": [1, 12], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (4.0 - 5.0i) + (2.0 + 1.0i) | 6.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 58, "num1": [4.0, -5.0], "num2": [2.0, 1.0], "operation": "+", "result": [6, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 7.0i) - (1.0 + 4.0i) | -5.0 + 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 59, "num1": [-4.0, 7.0], "num2": [1.0, 4.0], "operation": "-", "result": [-5, 3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 + 1.0i) + (-5.0 + 7.0i) | 4.0 + 8.0i | {"source_dataset": "complex_arithmetic", "source_index": 60, "num1": [9.0, 1.0], "num2": [-5.0, 7.0], "operation": "+", "result": [4, 8], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (4.0 + 68.0i) ÷ (-8.0 + 9.0i) | 4.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 61, "num1": [4.0, 68.0], "num2": [-8.0, 9.0], "operation": "/", "result": [4, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-8.0 - 6.0i) ÷ (2.00) | -4.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 62, "num1": [-8.0, -6.0], "num2": [2.0, 0.0], "operation": "/", "result": [-4, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (1.0 + 8.0i) × (-7.0 - 10.0i) | 73.0 - 66.0i | {"source_dataset": "complex_arithmetic", "source_index": 63, "num1": [1.0, 8.0], "num2": [-7.0, -10.0], "operation": "*", "result": [73, -66], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (5.0 - 10.0i) - (7.0 + 6.0i) | -2.0 - 16.0i | {"source_dataset": "complex_arithmetic", "source_index": 64, "num1": [5.0, -10.0], "num2": [7.0, 6.0], "operation": "-", "result": [-2, -16], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (8.0 + 3.0i) + (5.0 - 1.0i) | 13.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 65, "num1": [8.0, 3.0], "num2": [5.0, -1.0], "operation": "+", "result": [13, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-8.0 + 2.0i) + (-2.0 + 2.0i) | -10.0 + 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 66, "num1": [-8.0, 2.0], "num2": [-2.0, 2.0], "operation": "+", "result": [-10, 4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (4.0 + 4.0i) + (7.0 - 9.0i) | 11.0 - 5.0i | {"source_dataset": "complex_arithmetic", "source_index": 67, "num1": [4.0, 4.0], "num2": [7.0, -9.0], "operation": "+", "result": [11, -5], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-33.0 - 21.0i) ÷ (-3.0 + 3.0i) | 2.0 + 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 68, "num1": [-33.0, -21.0], "num2": [-3.0, 3.0], "operation": "/", "result": [2, 9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (-4.00) × (5.0 - 4.0i) | -20.0 + 16.0i | {"source_dataset": "complex_arithmetic", "source_index": 69, "num1": [-4.0, 0.0], "num2": [5.0, -4.0], "operation": "*", "result": [-20, 16], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (8.0 + 9.0i) - (-1.0 + 4.0i) | 9.0 + 5.0i | {"source_dataset": "complex_arithmetic", "source_index": 70, "num1": [8.0, 9.0], "num2": [-1.0, 4.0], "operation": "-", "result": [9, 5], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-2.0 - 10.0i) + (5.0 + 7.0i) | 3.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 71, "num1": [-2.0, -10.0], "num2": [5.0, 7.0], "operation": "+", "result": [3, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-7.00) + (-3.0 + 10.0i) | -10.0 + 10.0i | {"source_dataset": "complex_arithmetic", "source_index": 72, "num1": [-7.0, 0.0], "num2": [-3.0, 10.0], "operation": "+", "result": [-10, 10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (-4.0 - 7.0i) × (7.0 - 7.0i) | -77.0 - 21.0i | {"source_dataset": "complex_arithmetic", "source_index": 73, "num1": [-4.0, -7.0], "num2": [7.0, -7.0], "operation": "*", "result": [-77, -21], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Multiply the complex numbers: (9.0 + 7.0i) × (-1.0 - 10.0i) | 61.0 - 97.0i | {"source_dataset": "complex_arithmetic", "source_index": 74, "num1": [9.0, 7.0], "num2": [-1.0, -10.0], "operation": "*", "result": [61, -97], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-5.0 - 4.0i) + (2.0 - 5.0i) | -3.0 - 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 75, "num1": [-5.0, -4.0], "num2": [2.0, -5.0], "operation": "+", "result": [-3, -9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-5.0 - 1.0i) - (-7.0 + 1.0i) | 2.0 - 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 76, "num1": [-5.0, -1.0], "num2": [-7.0, 1.0], "operation": "-", "result": [2, -2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-56.0 + 34.0i) ÷ (7.0 + 3.0i) | -5.0 + 7.0i | {"source_dataset": "complex_arithmetic", "source_index": 77, "num1": [-56.0, 34.0], "num2": [7.0, 3.0], "operation": "/", "result": [-5, 7], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 10.0i) - (8.0 + 4.0i) | -12.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 78, "num1": [-4.0, 10.0], "num2": [8.0, 4.0], "operation": "-", "result": [-12, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (8.0 + 2.0i) + (10.0 - 5.0i) | 18.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 79, "num1": [8.0, 2.0], "num2": [10.0, -5.0], "operation": "+", "result": [18, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (9.0 - 1.0i) - (-8.0 + 1.0i) | 17.0 - 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 80, "num1": [9.0, -1.0], "num2": [-8.0, 1.0], "operation": "-", "result": [17, -2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (-8.0 + 3.0i) + (-2.0 - 7.0i) | -10.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 81, "num1": [-8.0, 3.0], "num2": [-2.0, -7.0], "operation": "+", "result": [-10, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-125.0 - 13.0i) ÷ (-5.0 - 9.0i) | 7.0 - 10.0i | {"source_dataset": "complex_arithmetic", "source_index": 82, "num1": [-125.0, -13.0], "num2": [-5.0, -9.0], "operation": "/", "result": [7, -10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-69.0 - 33.0i) ÷ (-1.0 + 8.0i) | -3.0 + 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 83, "num1": [-69.0, -33.0], "num2": [-1.0, 8.0], "operation": "/", "result": [-3, 9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (8.0 + 9.0i) - (4.0 - 3.0i) | 4.0 + 12.0i | {"source_dataset": "complex_arithmetic", "source_index": 84, "num1": [8.0, 9.0], "num2": [4.0, -3.0], "operation": "-", "result": [4, 12], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 + 8.0i) + (8.0 - 7.0i) | 17.0 + 1.0i | {"source_dataset": "complex_arithmetic", "source_index": 85, "num1": [9.0, 8.0], "num2": [8.0, -7.0], "operation": "+", "result": [17, 1], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Divide the complex numbers: (-20.0 + 9.0i) ÷ (6.0 + 1.0i) | -3.0 + 2.0i | {"source_dataset": "complex_arithmetic", "source_index": 86, "num1": [-20.0, 9.0], "num2": [6.0, 1.0], "operation": "/", "result": [-3, 2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (6.0 - 2.0i) - (-9.0 + 2.0i) | 15.0 - 4.0i | {"source_dataset": "complex_arithmetic", "source_index": 87, "num1": [6.0, -2.0], "num2": [-9.0, 2.0], "operation": "-", "result": [15, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-2.0 + 4.0i) - (10.0 + 4.0i) | -12.00 | {"source_dataset": "complex_arithmetic", "source_index": 88, "num1": [-2.0, 4.0], "num2": [10.0, 4.0], "operation": "-", "result": [-12, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (6.0 - 8.0i) + (2.0 - 1.0i) | 8.0 - 9.0i | {"source_dataset": "complex_arithmetic", "source_index": 89, "num1": [6.0, -8.0], "num2": [2.0, -1.0], "operation": "+", "result": [8, -9], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (3.0 - 9.0i) - (-5.0 - 9.0i) | 8.00 | {"source_dataset": "complex_arithmetic", "source_index": 90, "num1": [3.0, -9.0], "num2": [-5.0, -9.0], "operation": "-", "result": [8, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (5.00) - (9.00) | -4.00 | {"source_dataset": "complex_arithmetic", "source_index": 91, "num1": [5.0, 0.0], "num2": [9.0, 0.0], "operation": "-", "result": [-4, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-4.0 + 7.0i) - (10.0 - 6.0i) | -14.0 + 13.0i | {"source_dataset": "complex_arithmetic", "source_index": 92, "num1": [-4.0, 7.0], "num2": [10.0, -6.0], "operation": "-", "result": [-14, 13], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (10.0 + 10.0i) - (8.0 - 2.0i) | 2.0 + 12.0i | {"source_dataset": "complex_arithmetic", "source_index": 93, "num1": [10.0, 10.0], "num2": [8.0, -2.0], "operation": "-", "result": [2, 12], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (6.0 - 9.0i) - (3.0 + 5.0i) | 3.0 - 14.0i | {"source_dataset": "complex_arithmetic", "source_index": 94, "num1": [6.0, -9.0], "num2": [3.0, 5.0], "operation": "-", "result": [3, -14], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (3.00) + (-4.0 - 3.0i) | -1.0 - 3.0i | {"source_dataset": "complex_arithmetic", "source_index": 95, "num1": [3.0, 0.0], "num2": [-4.0, -3.0], "operation": "+", "result": [-1, -3], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (4.0 - 1.0i) + (-4.0 + 6.0i) | 5.00i | {"source_dataset": "complex_arithmetic", "source_index": 96, "num1": [4.0, -1.0], "num2": [-4.0, 6.0], "operation": "+", "result": [0, 5], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Add the complex numbers: (9.0 + 7.0i) + (9.0 - 1.0i) | 18.0 + 6.0i | {"source_dataset": "complex_arithmetic", "source_index": 97, "num1": [9.0, 7.0], "num2": [9.0, -1.0], "operation": "+", "result": [18, 6], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-7.0 - 10.0i) - (-2.0 - 10.0i) | -5.00 | {"source_dataset": "complex_arithmetic", "source_index": 98, "num1": [-7.0, -10.0], "num2": [-2.0, -10.0], "operation": "-", "result": [-5, 0], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
Subtract the complex numbers: (-10.0 + 8.0i) - (5.0 - 5.0i) | -15.0 + 13.0i | {"source_dataset": "complex_arithmetic", "source_index": 99, "num1": [-10.0, 8.0], "num2": [5.0, -5.0], "operation": "-", "result": [-15, 13], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}} |
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