{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (19◎22) + (X◎3) = -131 + 830i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(19◎22) + (X◎3)", "x_pos": "right", "params": [3, 19, 22, "+"], "target": [-131, 830]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (1◎-3) + (X◎2) = -3 + -18i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(1◎-3) + (X◎2)", "x_pos": "right", "params": [2, 1, -3, "+"], "target": [-3, -18]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 2×(X◎1) - (0◎1) = 1 + 4i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "2×(X◎1) - (0◎1)", "x_pos": "right_scalar", "params": [1, 0, 1, 2, "-"], "target": [1, 4]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (15◎11) - (-9◎-3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[15, 11], [-9, -3]], "operator": "-", "correct": [32, 276]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (4◎4) × (-11◎-14).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[4, 4], [-11, -14]], "operator": "*", "correct": [-9856, -2400]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (22◎4) × (-25◎21).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[22, 4], [-25, 21]], "operator": "*", "correct": [270912, -459016]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) + 5×(-9◎-6) = 425 + 390i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) + 5×(-9◎-6)", "x_pos": "left_scalar", "params": [5, -9, -6, 5, "+"], "target": [425, 390]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) - (-2◎1) = -27 + 14i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) - (-2◎1)", "x_pos": "left", "params": [5, -2, 1, "-"], "target": [-27, 14]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 2×(X◎3) - (-8◎-28) = 704 + -460i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "2×(X◎3) - (-8◎-28)", "x_pos": "right_scalar", "params": [3, -8, -28, 2, "-"], "target": [704, -460]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (7◎-7) + (-25◎-6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[7, -7], [-25, -6]], "operator": "+", "correct": [589, 202]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) + 3×(-14◎10) = 363 + -740i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) + 3×(-14◎10)", "x_pos": "left_scalar", "params": [5, -14, 10, 3, "+"], "target": [363, -740]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎3) - (2◎3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 3], [2, 3]], "operator": "-", "correct": [-4, -12]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + 3×(-18◎18) = 0 + -1976i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + 3×(-18◎18)", "x_pos": "left_scalar", "params": [4, -18, 18, 3, "+"], "target": [0, -1976]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (6◎9) - (-9◎0).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[6, 9], [-9, 0]], "operator": "-", "correct": [-126, 108]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎2) - (2◎-1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 2], [2, -1]], "operator": "-", "correct": [-7, 4]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎2) + (-7◎-3) = 45 + 54i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎2) + (-7◎-3)", "x_pos": "left", "params": [2, -7, -3, "+"], "target": [45, 54]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (19◎14) + (-10◎-12).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[19, 14], [-10, -12]], "operator": "+", "correct": [121, 772]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (11◎-4) - (15◎4).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[11, -4], [15, 4]], "operator": "-", "correct": [-104, -208]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 5×(X◎2) + (-8◎-9) = -17 + 104i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "5×(X◎2) + (-8◎-9)", "x_pos": "right_scalar", "params": [2, -8, -9, 5, "+"], "target": [-17, 104]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (4◎5) × (-4◎17).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[4, 5], [-4, 17]], "operator": "*", "correct": [7897, -9696]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (19◎10) × (18◎-1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[19, 10], [18, -1]], "operator": "*", "correct": [97983, 113344]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (13◎6) - (-18◎3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[13, 6], [-18, 3]], "operator": "-", "correct": [-182, 264]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) - 2×(-8◎4) = -87 + 168i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) - 2×(-8◎4)", "x_pos": "left_scalar", "params": [4, -8, 4, 2, "-"], "target": [-87, 168]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-5◎1) - (-1◎-6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-5, 1], [-1, -6]], "operator": "-", "correct": [59, -22]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-20◎17) + (-5◎-3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-20, 17], [-5, -3]], "operator": "+", "correct": [127, -650]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-12◎12) × (-14◎6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-12, 12], [-14, 6]], "operator": "*", "correct": [-48384, -46080]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (4◎1) - (-8◎1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[4, 1], [-8, 1]], "operator": "-", "correct": [-48, 24]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎1) - (5◎13) = 168 + -120i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎1) - (5◎13)", "x_pos": "left", "params": [1, 5, 13, "-"], "target": [168, -120]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎2) - (-2◎-12) = 280 + -96i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎2) - (-2◎-12)", "x_pos": "left", "params": [2, -2, -12, "-"], "target": [280, -96]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + (6◎6) = 0 + 40i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + (6◎6)", "x_pos": "left", "params": [4, 6, 6, "+"], "target": [0, 40]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-6◎22) × (-20◎13).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-6, 22], [-20, 13]], "operator": "*", "correct": [-240768, 171976]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (10◎-11) + (-4◎-7).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[10, -11], [-4, -7]], "operator": "+", "correct": [-54, -164]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (-21◎-12) + (X◎1) = 332 + 516i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(-21◎-12) + (X◎1)", "x_pos": "right", "params": [1, -21, -12, "+"], "target": [332, 516]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-2◎-1) - (-7◎-9).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-2, -1], [-7, -9]], "operator": "-", "correct": [35, -122]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 5×(X◎4) + (-19◎-17) = 1797 + -114i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "5×(X◎4) + (-19◎-17)", "x_pos": "right_scalar", "params": [4, -19, -17, 5, "+"], "target": [1797, -114]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-10◎16) - (-1◎-6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-10, 16], [-1, -6]], "operator": "-", "correct": [-121, -332]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (5◎10) - (-6◎6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[5, 10], [-6, 6]], "operator": "-", "correct": [-75, 172]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-18◎10) × (18◎-12).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-18, 10], [18, -12]], "operator": "*", "correct": [-115200, -161568]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (2◎1) + (X◎4) = -4 + 28i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(2◎1) + (X◎4)", "x_pos": "right", "params": [4, 2, 1, "+"], "target": [-4, 28]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (2◎1) - (0◎-2).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[2, 1], [0, -2]], "operator": "-", "correct": [7, 4]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (10◎-1) × (-10◎-9).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[10, -1], [-10, -9]], "operator": "*", "correct": [5481, 17440]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (16◎13) - (21◎20).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[16, 13], [21, 20]], "operator": "-", "correct": [46, -424]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (19◎-20) - (0◎1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[19, -20], [0, 1]], "operator": "-", "correct": [-38, -760]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) + (6◎-1) = 235 + -162i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) + (6◎-1)", "x_pos": "left", "params": [5, 6, -1, "+"], "target": [235, -162]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (12◎1) + (20◎-18).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[12, 1], [20, -18]], "operator": "+", "correct": [219, -696]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (-17◎-18) + (X◎3) = 125 + 534i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(-17◎-18) + (X◎3)", "x_pos": "right", "params": [3, -17, -18, "+"], "target": [125, 534]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (14◎14) - (14◎-14).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[14, 14], [14, -14]], "operator": "-", "correct": [0, 784]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) + 3×(-14◎-8) = 695 + 852i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) + 3×(-14◎-8)", "x_pos": "left_scalar", "params": [5, -14, -8, 3, "+"], "target": [695, 852]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-30◎19) + (-3◎-25).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-30, 19], [-3, -25]], "operator": "+", "correct": [-77, -990]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-8◎-25) × (-21◎21).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-8, -25], [-21, 21]], "operator": "*", "correct": [352800, 494802]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (1◎0) - (-10◎-15).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[1, 0], [-10, -15]], "operator": "-", "correct": [126, -300]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎3) × (0◎3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 3], [0, 3]], "operator": "*", "correct": [81, 0]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) - 2×(1◎8) = 135 + 8i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) - 2×(1◎8)", "x_pos": "left_scalar", "params": [4, 1, 8, 2, "-"], "target": [135, 8]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (7◎10) × (-5◎1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[7, 10], [-5, 1]], "operator": "*", "correct": [176, 3870]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (-4◎3) - (X◎2) = -158 + -76i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(-4◎3) - (X◎2)", "x_pos": "right", "params": [2, -4, 3, "-"], "target": [-158, -76]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (3◎18) - (17◎3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[3, 18], [17, 3]], "operator": "-", "correct": [-595, 6]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (15◎10) × (-14◎19).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[15, 10], [-14, 19]], "operator": "*", "correct": [138975, -116000]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎5) - 2×(0◎3) = 2 + 30i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎5) - 2×(0◎3)", "x_pos": "left_scalar", "params": [5, 0, 3, 2, "-"], "target": [2, 30]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-29◎20) × (-22◎12).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-29, 20], [-22, 12]], "operator": "*", "correct": [-462540, -627248]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-5◎0) + (-11◎29).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-5, 0], [-11, 29]], "operator": "+", "correct": [-695, -638]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 3×(X◎3) + (1◎1) = 81 + -106i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "3×(X◎3) + (1◎1)", "x_pos": "right_scalar", "params": [3, 1, 1, 3, "+"], "target": [81, -106]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (10◎-9) + (-10◎-1).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[10, -9], [-10, -1]], "operator": "+", "correct": [118, -160]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-8◎-10) - (1◎2).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-8, -10], [1, 2]], "operator": "-", "correct": [-33, 156]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + (-6◎7) = 71 + -4i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + (-6◎7)", "x_pos": "left", "params": [4, -6, 7, "+"], "target": [71, -4]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-1◎-6) × (0◎-11).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-1, -6], [0, -11]], "operator": "*", "correct": [4235, -1452]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (8◎2) × (-8◎3).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[8, 2], [-8, 3]], "operator": "*", "correct": [4836, -1120]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-6◎-16) - (18◎-5).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-6, -16], [18, -5]], "operator": "-", "correct": [-519, 372]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 3×(X◎1) + (3◎-9) = 0 + -84i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "3×(X◎1) + (3◎-9)", "x_pos": "right_scalar", "params": [1, 3, -9, 3, "+"], "target": [0, -84]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 2×(X◎2) + (1◎-1) = 0 + -18i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "2×(X◎2) + (1◎-1)", "x_pos": "right_scalar", "params": [2, 1, -1, 2, "+"], "target": [0, -18]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎19) + (8◎-19).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 19], [8, -19]], "operator": "+", "correct": [-658, -304]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-2◎-3) + (-10◎-10).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-2, -3], [-10, -10]], "operator": "+", "correct": [-5, 212]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + (-2◎-1) = -12 + 12i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + (-2◎-1)", "x_pos": "left", "params": [4, -2, -1, "+"], "target": [-12, 12]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎3) + (8◎-14) = -116 + -194i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎3) + (8◎-14)", "x_pos": "left", "params": [3, 8, -14, "+"], "target": [-116, -194]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (13◎-27) × (-28◎22).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[13, -27], [-28, 22]], "operator": "*", "correct": [-1032864, 479320]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎2) + 3×(28◎-11) = 2309 + -1920i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎2) + 3×(28◎-11)", "x_pos": "left_scalar", "params": [2, 28, -11, 3, "+"], "target": [2309, -1920]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎0) × (-5◎26).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 0], [-5, 26]], "operator": "*", "correct": [0, 0]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 4×(X◎1) + (-3◎0) = 5 + 0i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "4×(X◎1) + (-3◎0)", "x_pos": "right_scalar", "params": [1, -3, 0, 4, "+"], "target": [5, 0]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (20◎8) + (-4◎6).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[20, 8], [-4, 6]], "operator": "+", "correct": [316, 272]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-17◎-6) + (19◎-8).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-17, -6], [19, -8]], "operator": "+", "correct": [550, -100]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-6◎-2) + (10◎5).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-6, -2], [10, 5]], "operator": "+", "correct": [107, 124]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎-3) - (-7◎-5).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, -3], [-7, -5]], "operator": "-", "correct": [-33, -70]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-17◎-12) × (7◎15).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-17, -12], [7, 15]], "operator": "*", "correct": [-111200, -41358]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + 5×(1◎-2) = -27 + -36i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + 5×(1◎-2)", "x_pos": "left_scalar", "params": [4, 1, -2, 5, "+"], "target": [-27, -36]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-6◎8) - (-3◎-9).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-6, 8], [-3, -9]], "operator": "-", "correct": [44, -150]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (3◎2) × (1◎2).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[3, 2], [1, 2]], "operator": "*", "correct": [-63, -16]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-5◎-18) - (10◎-18).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-5, -18], [10, -18]], "operator": "-", "correct": [-75, 540]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (19◎-3) + (6◎19).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[19, -3], [6, 19]], "operator": "+", "correct": [27, 114]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (8◎-3) + (X◎1) = 90 + -36i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(8◎-3) + (X◎1)", "x_pos": "right", "params": [1, 8, -3, "+"], "target": [90, -36]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (9◎-9) + (14◎17).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[9, -9], [14, 17]], "operator": "+", "correct": [-93, 314]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If 5×(X◎5) - (17◎-17) = 1320 + 1428i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "5×(X◎5) - (17◎-17)", "x_pos": "right_scalar", "params": [5, 17, -17, 5, "-"], "target": [1320, 1428]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-3◎1) + (1◎-2).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-3, 1], [1, -2]], "operator": "+", "correct": [5, -10]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (1◎29) × (27◎-14).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[1, 29], [27, -14]], "operator": "*", "correct": [-403872, 665954]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (14◎14) × (-9◎22).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[14, 14], [-9, 22]], "operator": "*", "correct": [155232, -157976]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (-14◎6) + (X◎2) = 352 + -224i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(-14◎6) + (X◎2)", "x_pos": "right", "params": [2, -14, 6, "+"], "target": [352, -224]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2If (X◎4) + 4×(7◎15) = -639 + 912i\nFind X (integer only). Wrap answer in [[ ]]", "ground_truth": {"type": "equation", "form": "(X◎4) + 4×(7◎15)", "x_pos": "left_scalar", "params": [4, 7, 15, 4, "+"], "target": [-639, 912]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (6◎-14) + (8◎12).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[6, -14], [8, 12]], "operator": "+", "correct": [-240, 24]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (8◎-14) × (3◎18).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[8, -14], [3, 18]], "operator": "*", "correct": [65772, 56304]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (3◎-2) - (0◎-2).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[3, -2], [0, -2]], "operator": "-", "correct": [9, -12]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (0◎1) + (-2◎0).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[0, 1], [-2, 0]], "operator": "+", "correct": [3, 0]}}
{"data_source": "KorOperationUnicode25ce", "prompt": "Define: a◎b=(a + bi)^2Compute (-5◎5) - (-2◎4).\nFormat: x + yi (e.g. '3-4i', '-5')\nPut your answer within [[ ]]", "ground_truth": {"type": "calculation", "terms": [[-5, 5], [-2, 4]], "operator": "-", "correct": [12, -34]}}