{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5504 and 30272, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2752\"\nresult = \"8256\"", "target": "8256", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5504, 30272), 'multiply', 3)", "intermediate": "2752", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 990 and 3465, then apply multiply to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"495\"\nresult = \"9405\"", "target": "9405", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (990, 3465), 'multiply', 19)", "intermediate": "495", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3484 and 4355, then apply multiply to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871\"\nresult = \"9581\"", "target": "9581", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3484, 4355), 'multiply', 11)", "intermediate": "871", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5175 and 6325, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"575\"\nresult = \"4600\"", "target": "4600", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5175, 6325), 'multiply', 8)", "intermediate": "575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 814 and 2849, then apply multiply to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"407\"\nresult = \"6105\"", "target": "6105", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (814, 2849), 'multiply', 15)", "intermediate": "407", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4672 and 5256, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"584\"\nresult = \"2920\"", "target": "2920", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4672, 5256), 'multiply', 5)", "intermediate": "584", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11568 and 13496, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1928\"\nresult = \"3856\"", "target": "3856", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11568, 13496), 'multiply', 2)", "intermediate": "1928", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 24135 and 43443, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4827\"\nresult = \"9654\"", "target": "9654", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (24135, 43443), 'multiply', 2)", "intermediate": "4827", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 37280 and 51260, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4660\"\nresult = \"9320\"", "target": "9320", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (37280, 51260), 'multiply', 2)", "intermediate": "4660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9888 and 22248, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2472\"\nresult = \"4944\"", "target": "4944", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9888, 22248), 'multiply', 2)", "intermediate": "2472", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 37512 and 42201, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4689\"\nresult = \"9378\"", "target": "9378", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (37512, 42201), 'multiply', 2)", "intermediate": "4689", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 24996 and 45826, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4166\"\nresult = \"8332\"", "target": "8332", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (24996, 45826), 'multiply', 2)", "intermediate": "4166", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 10692 and 29403, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2673\"\nresult = \"8019\"", "target": "8019", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10692, 29403), 'multiply', 3)", "intermediate": "2673", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9186 and 30620, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3062\"\nresult = \"6124\"", "target": "6124", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9186, 30620), 'multiply', 2)", "intermediate": "3062", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11004 and 12576, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1572\"\nresult = \"4716\"", "target": "4716", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11004, 12576), 'multiply', 3)", "intermediate": "1572", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3850 and 6930, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"770\"\nresult = \"4620\"", "target": "4620", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3850, 6930), 'multiply', 6)", "intermediate": "770", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 22010 and 26412, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4402\"\nresult = \"8804\"", "target": "8804", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (22010, 26412), 'multiply', 2)", "intermediate": "4402", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11328 and 37760, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3776\"\nresult = \"7552\"", "target": "7552", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11328, 37760), 'multiply', 2)", "intermediate": "3776", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5335 and 7469, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1067\"\nresult = \"8536\"", "target": "8536", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5335, 7469), 'multiply', 8)", "intermediate": "1067", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 10157 and 14510, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1451\"\nresult = \"5804\"", "target": "5804", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10157, 14510), 'multiply', 4)", "intermediate": "1451", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12105 and 14795, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1345\"\nresult = \"6725\"", "target": "6725", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12105, 14795), 'multiply', 5)", "intermediate": "1345", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 23355 and 42039, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4671\"\nresult = \"9342\"", "target": "9342", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (23355, 42039), 'multiply', 2)", "intermediate": "4671", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 20202 and 23088, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2886\"\nresult = \"8658\"", "target": "8658", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (20202, 23088), 'multiply', 3)", "intermediate": "2886", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 24845 and 29814, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4969\"\nresult = \"9938\"", "target": "9938", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (24845, 29814), 'multiply', 2)", "intermediate": "4969", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5304 and 5967, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"663\"\nresult = \"1989\"", "target": "1989", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5304, 5967), 'multiply', 3)", "intermediate": "663", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11555 and 13866, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2311\"\nresult = \"9244\"", "target": "9244", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11555, 13866), 'multiply', 4)", "intermediate": "2311", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1264 and 3160, then apply multiply to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632\"\nresult = \"8216\"", "target": "8216", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1264, 3160), 'multiply', 13)", "intermediate": "632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15816 and 18452, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2636\"\nresult = \"7908\"", "target": "7908", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15816, 18452), 'multiply', 3)", "intermediate": "2636", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17017 and 19448, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2431\"\nresult = \"7293\"", "target": "7293", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17017, 19448), 'multiply', 3)", "intermediate": "2431", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9033 and 12044, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3011\"\nresult = \"6022\"", "target": "6022", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9033, 12044), 'multiply', 2)", "intermediate": "3011", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4908 and 26994, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2454\"\nresult = \"9816\"", "target": "9816", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4908, 26994), 'multiply', 4)", "intermediate": "2454", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8512 and 14896, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2128\"\nresult = \"6384\"", "target": "6384", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8512, 14896), 'multiply', 3)", "intermediate": "2128", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15116 and 26453, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3779\"\nresult = \"7558\"", "target": "7558", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15116, 26453), 'multiply', 2)", "intermediate": "3779", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9768 and 10989, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1221\"\nresult = \"6105\"", "target": "6105", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9768, 10989), 'multiply', 5)", "intermediate": "1221", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13821 and 36856, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4607\"\nresult = \"9214\"", "target": "9214", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13821, 36856), 'multiply', 2)", "intermediate": "4607", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 18234 and 33429, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3039\"\nresult = \"9117\"", "target": "9117", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (18234, 33429), 'multiply', 3)", "intermediate": "3039", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3086 and 16973, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1543\"\nresult = \"4629\"", "target": "4629", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3086, 16973), 'multiply', 3)", "intermediate": "1543", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14778 and 19704, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4926\"\nresult = \"9852\"", "target": "9852", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14778, 19704), 'multiply', 2)", "intermediate": "4926", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17660 and 28256, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3532\"\nresult = \"7064\"", "target": "7064", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17660, 28256), 'multiply', 2)", "intermediate": "3532", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14217 and 52129, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4739\"\nresult = \"9478\"", "target": "9478", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14217, 52129), 'multiply', 2)", "intermediate": "4739", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 21610 and 47542, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4322\"\nresult = \"8644\"", "target": "8644", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21610, 47542), 'multiply', 2)", "intermediate": "4322", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 34560 and 38400, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3840\"\nresult = \"7680\"", "target": "7680", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (34560, 38400), 'multiply', 2)", "intermediate": "3840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13440 and 23520, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3360\"\nresult = \"6720\"", "target": "6720", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13440, 23520), 'multiply', 2)", "intermediate": "3360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4740 and 5688, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"948\"\nresult = \"7584\"", "target": "7584", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4740, 5688), 'multiply', 8)", "intermediate": "948", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7240 and 19910, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1810\"\nresult = \"5430\"", "target": "5430", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (7240, 19910), 'multiply', 3)", "intermediate": "1810", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3000 and 11000, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1000\"\nresult = \"2000\"", "target": "2000", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3000, 11000), 'multiply', 2)", "intermediate": "1000", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1876 and 2814, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"938\"\nresult = \"3752\"", "target": "3752", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1876, 2814), 'multiply', 4)", "intermediate": "938", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 616 and 2156, then apply multiply to the result and 29.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"308\"\nresult = \"8932\"", "target": "8932", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (616, 2156), 'multiply', 29)", "intermediate": "308", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7896 and 9212, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1316\"\nresult = \"5264\"", "target": "5264", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (7896, 9212), 'multiply', 4)", "intermediate": "1316", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14725 and 32395, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2945\"\nresult = \"8835\"", "target": "8835", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14725, 32395), 'multiply', 3)", "intermediate": "2945", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16392 and 45078, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4098\"\nresult = \"8196\"", "target": "8196", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16392, 45078), 'multiply', 2)", "intermediate": "4098", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12189 and 40630, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4063\"\nresult = \"8126\"", "target": "8126", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12189, 40630), 'multiply', 2)", "intermediate": "4063", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2560 and 11520, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1280\"\nresult = \"8960\"", "target": "8960", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2560, 11520), 'multiply', 7)", "intermediate": "1280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 20342 and 26154, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2906\"\nresult = \"8718\"", "target": "8718", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (20342, 26154), 'multiply', 3)", "intermediate": "2906", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 32160 and 36180, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4020\"\nresult = \"8040\"", "target": "8040", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (32160, 36180), 'multiply', 2)", "intermediate": "4020", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17708 and 22135, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4427\"\nresult = \"8854\"", "target": "8854", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17708, 22135), 'multiply', 2)", "intermediate": "4427", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 40941 and 50039, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4549\"\nresult = \"9098\"", "target": "9098", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (40941, 50039), 'multiply', 2)", "intermediate": "4549", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13278 and 44260, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4426\"\nresult = \"8852\"", "target": "8852", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13278, 44260), 'multiply', 2)", "intermediate": "4426", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11195 and 15673, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2239\"\nresult = \"6717\"", "target": "6717", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11195, 15673), 'multiply', 3)", "intermediate": "2239", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5872 and 7340, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1468\"\nresult = \"4404\"", "target": "4404", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5872, 7340), 'multiply', 3)", "intermediate": "1468", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 22310 and 35696, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4462\"\nresult = \"8924\"", "target": "8924", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (22310, 35696), 'multiply', 2)", "intermediate": "4462", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9635 and 21197, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1927\"\nresult = \"5781\"", "target": "5781", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9635, 21197), 'multiply', 3)", "intermediate": "1927", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16488 and 18549, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2061\"\nresult = \"6183\"", "target": "6183", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16488, 18549), 'multiply', 3)", "intermediate": "2061", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 21084 and 27108, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3012\"\nresult = \"6024\"", "target": "6024", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21084, 27108), 'multiply', 2)", "intermediate": "3012", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2296 and 3608, then apply multiply to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"328\"\nresult = \"3280\"", "target": "3280", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2296, 3608), 'multiply', 10)", "intermediate": "328", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11904 and 31744, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3968\"\nresult = \"7936\"", "target": "7936", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11904, 31744), 'multiply', 2)", "intermediate": "3968", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11680 and 32120, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2920\"\nresult = \"8760\"", "target": "8760", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11680, 32120), 'multiply', 3)", "intermediate": "2920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2808 and 6552, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936\"\nresult = \"8424\"", "target": "8424", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2808, 6552), 'multiply', 9)", "intermediate": "936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 20265 and 44583, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4053\"\nresult = \"8106\"", "target": "8106", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (20265, 44583), 'multiply', 2)", "intermediate": "4053", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 36243 and 44297, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4027\"\nresult = \"8054\"", "target": "8054", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (36243, 44297), 'multiply', 2)", "intermediate": "4027", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6352 and 7146, then apply multiply to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"794\"\nresult = \"9528\"", "target": "9528", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (6352, 7146), 'multiply', 12)", "intermediate": "794", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9738 and 11902, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1082\"\nresult = \"8656\"", "target": "8656", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9738, 11902), 'multiply', 8)", "intermediate": "1082", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8660 and 10392, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1732\"\nresult = \"5196\"", "target": "5196", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8660, 10392), 'multiply', 3)", "intermediate": "1732", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25578 and 40194, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3654\"\nresult = \"7308\"", "target": "7308", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25578, 40194), 'multiply', 2)", "intermediate": "3654", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5670 and 8910, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"810\"\nresult = \"6480\"", "target": "6480", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5670, 8910), 'multiply', 8)", "intermediate": "810", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15576 and 27258, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3894\"\nresult = \"7788\"", "target": "7788", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15576, 27258), 'multiply', 2)", "intermediate": "3894", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 650 and 3575, then apply multiply to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"325\"\nresult = \"6500\"", "target": "6500", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (650, 3575), 'multiply', 20)", "intermediate": "325", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 27384 and 43032, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3912\"\nresult = \"7824\"", "target": "7824", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (27384, 43032), 'multiply', 2)", "intermediate": "3912", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 24905 and 29886, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4981\"\nresult = \"9962\"", "target": "9962", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (24905, 29886), 'multiply', 2)", "intermediate": "4981", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6885 and 11016, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1377\"\nresult = \"8262\"", "target": "8262", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (6885, 11016), 'multiply', 6)", "intermediate": "1377", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4705 and 6587, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"941\"\nresult = \"3764\"", "target": "3764", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4705, 6587), 'multiply', 4)", "intermediate": "941", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 29224 and 40183, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3653\"\nresult = \"7306\"", "target": "7306", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (29224, 40183), 'multiply', 2)", "intermediate": "3653", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3656 and 5484, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1828\"\nresult = \"7312\"", "target": "7312", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3656, 5484), 'multiply', 4)", "intermediate": "1828", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14712 and 53944, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4904\"\nresult = \"9808\"", "target": "9808", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14712, 53944), 'multiply', 2)", "intermediate": "4904", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 18236 and 41031, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4559\"\nresult = \"9118\"", "target": "9118", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (18236, 41031), 'multiply', 2)", "intermediate": "4559", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5382 and 6578, then apply multiply to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"598\"\nresult = \"7774\"", "target": "7774", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5382, 6578), 'multiply', 13)", "intermediate": "598", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 26982 and 29980, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2998\"\nresult = \"8994\"", "target": "8994", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (26982, 29980), 'multiply', 3)", "intermediate": "2998", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 39024 and 43902, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4878\"\nresult = \"9756\"", "target": "9756", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (39024, 43902), 'multiply', 2)", "intermediate": "4878", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 21940 and 30716, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4388\"\nresult = \"8776\"", "target": "8776", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21940, 30716), 'multiply', 2)", "intermediate": "4388", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25935 and 37050, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3705\"\nresult = \"7410\"", "target": "7410", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25935, 37050), 'multiply', 2)", "intermediate": "3705", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 924 and 1320, then apply multiply to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"132\"\nresult = \"2772\"", "target": "2772", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (924, 1320), 'multiply', 21)", "intermediate": "132", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3022 and 16621, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1511\"\nresult = \"7555\"", "target": "7555", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3022, 16621), 'multiply', 5)", "intermediate": "1511", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5425 and 8680, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1085\"\nresult = \"2170\"", "target": "2170", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5425, 8680), 'multiply', 2)", "intermediate": "1085", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16620 and 30470, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2770\"\nresult = \"8310\"", "target": "8310", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16620, 30470), 'multiply', 3)", "intermediate": "2770", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1695 and 3955, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"565\"\nresult = \"4520\"", "target": "4520", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1695, 3955), 'multiply', 8)", "intermediate": "565", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17036 and 46849, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4259\"\nresult = \"8518\"", "target": "8518", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17036, 46849), 'multiply', 2)", "intermediate": "4259", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2476 and 6809, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"619\"\nresult = \"4333\"", "target": "4333", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2476, 6809), 'multiply', 7)", "intermediate": "619", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 21205 and 46651, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4241\"\nresult = \"8482\"", "target": "8482", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21205, 46651), 'multiply', 2)", "intermediate": "4241", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 31276 and 49148, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4468\"\nresult = \"8936\"", "target": "8936", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (31276, 49148), 'multiply', 2)", "intermediate": "4468", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12777 and 29813, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4259\"\nresult = \"8518\"", "target": "8518", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12777, 29813), 'multiply', 2)", "intermediate": "4259", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 42147 and 46830, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4683\"\nresult = \"9366\"", "target": "9366", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (42147, 46830), 'multiply', 2)", "intermediate": "4683", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4384 and 7672, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1096\"\nresult = \"9864\"", "target": "9864", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4384, 7672), 'multiply', 9)", "intermediate": "1096", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 18060 and 28380, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2580\"\nresult = \"5160\"", "target": "5160", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (18060, 28380), 'multiply', 2)", "intermediate": "2580", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6198 and 34089, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3099\"\nresult = \"9297\"", "target": "9297", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (6198, 34089), 'multiply', 3)", "intermediate": "3099", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4896 and 13464, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1224\"\nresult = \"3672\"", "target": "3672", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4896, 13464), 'multiply', 3)", "intermediate": "1224", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3484 and 6097, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871\"\nresult = \"7839\"", "target": "7839", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3484, 6097), 'multiply', 9)", "intermediate": "871", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8598 and 15763, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1433\"\nresult = \"4299\"", "target": "4299", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8598, 15763), 'multiply', 3)", "intermediate": "1433", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9954 and 11376, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1422\"\nresult = \"7110\"", "target": "7110", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9954, 11376), 'multiply', 5)", "intermediate": "1422", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17292 and 30261, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4323\"\nresult = \"8646\"", "target": "8646", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17292, 30261), 'multiply', 2)", "intermediate": "4323", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 10653 and 17755, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3551\"\nresult = \"7102\"", "target": "7102", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10653, 17755), 'multiply', 2)", "intermediate": "3551", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5418 and 18963, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2709\"\nresult = \"8127\"", "target": "8127", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5418, 18963), 'multiply', 3)", "intermediate": "2709", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 777 and 2849, then apply multiply to the result and 37.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"259\"\nresult = \"9583\"", "target": "9583", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (777, 2849), 'multiply', 37)", "intermediate": "259", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15428 and 42427, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3857\"\nresult = \"7714\"", "target": "7714", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15428, 42427), 'multiply', 2)", "intermediate": "3857", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17748 and 19720, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1972\"\nresult = \"3944\"", "target": "3944", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17748, 19720), 'multiply', 2)", "intermediate": "1972", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2364 and 6304, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"788\"\nresult = \"4728\"", "target": "4728", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2364, 6304), 'multiply', 6)", "intermediate": "788", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3816 and 4240, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"424\"\nresult = \"2968\"", "target": "2968", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3816, 4240), 'multiply', 7)", "intermediate": "424", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16205 and 23150, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2315\"\nresult = \"4630\"", "target": "4630", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16205, 23150), 'multiply', 2)", "intermediate": "2315", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 28472 and 39149, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3559\"\nresult = \"7118\"", "target": "7118", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (28472, 39149), 'multiply', 2)", "intermediate": "3559", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5558 and 19453, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2779\"\nresult = \"8337\"", "target": "8337", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5558, 19453), 'multiply', 3)", "intermediate": "2779", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 32256 and 35840, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3584\"\nresult = \"7168\"", "target": "7168", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (32256, 35840), 'multiply', 2)", "intermediate": "3584", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4606 and 6909, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2303\"\nresult = \"9212\"", "target": "9212", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4606, 6909), 'multiply', 4)", "intermediate": "2303", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5775 and 9075, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"825\"\nresult = \"4950\"", "target": "4950", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5775, 9075), 'multiply', 6)", "intermediate": "825", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1935 and 5160, then apply multiply to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"645\"\nresult = \"9675\"", "target": "9675", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1935, 5160), 'multiply', 15)", "intermediate": "645", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4384 and 12056, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1096\"\nresult = \"2192\"", "target": "2192", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4384, 12056), 'multiply', 2)", "intermediate": "1096", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14390 and 23024, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2878\"\nresult = \"8634\"", "target": "8634", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14390, 23024), 'multiply', 3)", "intermediate": "2878", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11470 and 25234, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2294\"\nresult = \"4588\"", "target": "4588", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11470, 25234), 'multiply', 2)", "intermediate": "2294", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2265 and 3171, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"453\"\nresult = \"4077\"", "target": "4077", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2265, 3171), 'multiply', 9)", "intermediate": "453", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2988 and 3984, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"996\"\nresult = \"5976\"", "target": "5976", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2988, 3984), 'multiply', 6)", "intermediate": "996", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1536 and 2048, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"512\"\nresult = \"4096\"", "target": "4096", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1536, 2048), 'multiply', 8)", "intermediate": "512", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15930 and 18585, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2655\"\nresult = \"7965\"", "target": "7965", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15930, 18585), 'multiply', 3)", "intermediate": "2655", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 31150 and 44500, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4450\"\nresult = \"8900\"", "target": "8900", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (31150, 44500), 'multiply', 2)", "intermediate": "4450", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4671 and 12456, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1557\"\nresult = \"6228\"", "target": "6228", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4671, 12456), 'multiply', 4)", "intermediate": "1557", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 744 and 1984, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"248\"\nresult = \"992\"", "target": "992", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (744, 1984), 'multiply', 4)", "intermediate": "248", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 450 and 675, then apply multiply to the result and 34.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"225\"\nresult = \"7650\"", "target": "7650", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (450, 675), 'multiply', 34)", "intermediate": "225", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13842 and 23070, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4614\"\nresult = \"9228\"", "target": "9228", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13842, 23070), 'multiply', 2)", "intermediate": "4614", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 19008 and 23232, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2112\"\nresult = \"6336\"", "target": "6336", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (19008, 23232), 'multiply', 3)", "intermediate": "2112", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5820 and 10670, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"970\"\nresult = \"7760\"", "target": "7760", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5820, 10670), 'multiply', 8)", "intermediate": "970", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 20775 and 33240, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4155\"\nresult = \"8310\"", "target": "8310", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (20775, 33240), 'multiply', 2)", "intermediate": "4155", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12750 and 42500, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4250\"\nresult = \"8500\"", "target": "8500", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12750, 42500), 'multiply', 2)", "intermediate": "4250", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4360 and 4905, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"545\"\nresult = \"3270\"", "target": "3270", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4360, 4905), 'multiply', 6)", "intermediate": "545", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 432 and 1512, then apply multiply to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"216\"\nresult = \"9072\"", "target": "9072", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (432, 1512), 'multiply', 42)", "intermediate": "216", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8772 and 19737, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2193\"\nresult = \"4386\"", "target": "4386", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8772, 19737), 'multiply', 2)", "intermediate": "2193", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1106 and 3871, then apply multiply to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"553\"\nresult = \"7742\"", "target": "7742", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1106, 3871), 'multiply', 14)", "intermediate": "553", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25464 and 46684, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4244\"\nresult = \"8488\"", "target": "8488", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25464, 46684), 'multiply', 2)", "intermediate": "4244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 14588 and 16672, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2084\"\nresult = \"6252\"", "target": "6252", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14588, 16672), 'multiply', 3)", "intermediate": "2084", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1880 and 5170, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"470\"\nresult = \"3290\"", "target": "3290", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1880, 5170), 'multiply', 7)", "intermediate": "470", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4170 and 11120, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1390\"\nresult = \"6950\"", "target": "6950", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4170, 11120), 'multiply', 5)", "intermediate": "1390", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 387 and 1032, then apply multiply to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"129\"\nresult = \"6192\"", "target": "6192", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (387, 1032), 'multiply', 48)", "intermediate": "129", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13970 and 22352, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2794\"\nresult = \"8382\"", "target": "8382", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13970, 22352), 'multiply', 3)", "intermediate": "2794", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4204 and 10510, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2102\"\nresult = \"6306\"", "target": "6306", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (4204, 10510), 'multiply', 3)", "intermediate": "2102", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7536 and 9420, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1884\"\nresult = \"5652\"", "target": "5652", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (7536, 9420), 'multiply', 3)", "intermediate": "1884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 324 and 1188, then apply multiply to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"108\"\nresult = \"5400\"", "target": "5400", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (324, 1188), 'multiply', 50)", "intermediate": "108", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25308 and 29526, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4218\"\nresult = \"8436\"", "target": "8436", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25308, 29526), 'multiply', 2)", "intermediate": "4218", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 10665 and 14931, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2133\"\nresult = \"4266\"", "target": "4266", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10665, 14931), 'multiply', 2)", "intermediate": "2133", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5112 and 8946, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1278\"\nresult = \"7668\"", "target": "7668", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5112, 8946), 'multiply', 6)", "intermediate": "1278", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1764 and 3087, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"441\"\nresult = \"882\"", "target": "882", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1764, 3087), 'multiply', 2)", "intermediate": "441", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7662 and 25540, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2554\"\nresult = \"5108\"", "target": "5108", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (7662, 25540), 'multiply', 2)", "intermediate": "2554", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3960 and 7128, then apply multiply to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"792\"\nresult = \"7920\"", "target": "7920", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3960, 7128), 'multiply', 10)", "intermediate": "792", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8226 and 15081, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1371\"\nresult = \"9597\"", "target": "9597", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8226, 15081), 'multiply', 7)", "intermediate": "1371", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 19948 and 34909, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4987\"\nresult = \"9974\"", "target": "9974", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (19948, 34909), 'multiply', 2)", "intermediate": "4987", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2570 and 6425, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1285\"\nresult = \"8995\"", "target": "8995", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2570, 6425), 'multiply', 7)", "intermediate": "1285", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25812 and 30114, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4302\"\nresult = \"8604\"", "target": "8604", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25812, 30114), 'multiply', 2)", "intermediate": "4302", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 34188 and 53724, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4884\"\nresult = \"9768\"", "target": "9768", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (34188, 53724), 'multiply', 2)", "intermediate": "4884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7140 and 8330, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1190\"\nresult = \"4760\"", "target": "4760", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (7140, 8330), 'multiply', 4)", "intermediate": "1190", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3836 and 6713, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"959\"\nresult = \"8631\"", "target": "8631", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3836, 6713), 'multiply', 9)", "intermediate": "959", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 26718 and 48983, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4453\"\nresult = \"8906\"", "target": "8906", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (26718, 48983), 'multiply', 2)", "intermediate": "4453", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12324 and 32864, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4108\"\nresult = \"8216\"", "target": "8216", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12324, 32864), 'multiply', 2)", "intermediate": "4108", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 26901 and 42273, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3843\"\nresult = \"7686\"", "target": "7686", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (26901, 42273), 'multiply', 2)", "intermediate": "3843", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 37980 and 42200, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4220\"\nresult = \"8440\"", "target": "8440", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (37980, 42200), 'multiply', 2)", "intermediate": "4220", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15155 and 23815, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2165\"\nresult = \"4330\"", "target": "4330", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15155, 23815), 'multiply', 2)", "intermediate": "2165", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6825 and 15925, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2275\"\nresult = \"9100\"", "target": "9100", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (6825, 15925), 'multiply', 4)", "intermediate": "2275", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5343 and 12467, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1781\"\nresult = \"8905\"", "target": "8905", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5343, 12467), 'multiply', 5)", "intermediate": "1781", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 33168 and 45606, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4146\"\nresult = \"8292\"", "target": "8292", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (33168, 45606), 'multiply', 2)", "intermediate": "4146", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3640 and 4368, then apply multiply to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"728\"\nresult = \"8736\"", "target": "8736", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3640, 4368), 'multiply', 12)", "intermediate": "728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17171 and 24530, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2453\"\nresult = \"4906\"", "target": "4906", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17171, 24530), 'multiply', 2)", "intermediate": "2453", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3448 and 12068, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1724\"\nresult = \"5172\"", "target": "5172", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3448, 12068), 'multiply', 3)", "intermediate": "1724", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13806 and 25311, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2301\"\nresult = \"4602\"", "target": "4602", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13806, 25311), 'multiply', 2)", "intermediate": "2301", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11298 and 20713, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1883\"\nresult = \"9415\"", "target": "9415", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11298, 20713), 'multiply', 5)", "intermediate": "1883", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 17374 and 19856, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2482\"\nresult = \"9928\"", "target": "9928", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (17374, 19856), 'multiply', 4)", "intermediate": "2482", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9756 and 26829, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2439\"\nresult = \"7317\"", "target": "7317", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9756, 26829), 'multiply', 3)", "intermediate": "2439", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 27440 and 39200, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3920\"\nresult = \"7840\"", "target": "7840", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (27440, 39200), 'multiply', 2)", "intermediate": "3920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 13794 and 22990, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4598\"\nresult = \"9196\"", "target": "9196", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13794, 22990), 'multiply', 2)", "intermediate": "4598", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 729 and 2430, then apply multiply to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"243\"\nresult = \"7533\"", "target": "7533", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (729, 2430), 'multiply', 31)", "intermediate": "243", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5808 and 6534, then apply multiply to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"726\"\nresult = \"7260\"", "target": "7260", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5808, 6534), 'multiply', 10)", "intermediate": "726", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 11343 and 30248, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3781\"\nresult = \"7562\"", "target": "7562", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11343, 30248), 'multiply', 2)", "intermediate": "3781", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16362 and 19998, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1818\"\nresult = \"5454\"", "target": "5454", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16362, 19998), 'multiply', 3)", "intermediate": "1818", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3555 and 6399, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"711\"\nresult = \"2133\"", "target": "2133", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3555, 6399), 'multiply', 3)", "intermediate": "711", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8827 and 11349, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1261\"\nresult = \"7566\"", "target": "7566", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8827, 11349), 'multiply', 6)", "intermediate": "1261", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8976 and 11220, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2244\"\nresult = \"4488\"", "target": "4488", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8976, 11220), 'multiply', 2)", "intermediate": "2244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 12801 and 34136, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4267\"\nresult = \"8534\"", "target": "8534", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12801, 34136), 'multiply', 2)", "intermediate": "4267", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 16328 and 28574, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4082\"\nresult = \"8164\"", "target": "8164", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16328, 28574), 'multiply', 2)", "intermediate": "4082", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2806 and 4209, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1403\"\nresult = \"7015\"", "target": "7015", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2806, 4209), 'multiply', 5)", "intermediate": "1403", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 15168 and 26544, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3792\"\nresult = \"7584\"", "target": "7584", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15168, 26544), 'multiply', 2)", "intermediate": "3792", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9543 and 34991, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3181\"\nresult = \"6362\"", "target": "6362", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9543, 34991), 'multiply', 2)", "intermediate": "3181", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 22968 and 25839, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2871\"\nresult = \"8613\"", "target": "8613", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (22968, 25839), 'multiply', 3)", "intermediate": "2871", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 9747 and 11913, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1083\"\nresult = \"5415\"", "target": "5415", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (9747, 11913), 'multiply', 5)", "intermediate": "1083", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1764 and 1960, then apply multiply to the result and 49.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"196\"\nresult = \"9604\"", "target": "9604", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1764, 1960), 'multiply', 49)", "intermediate": "196", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2528 and 4424, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632\"\nresult = \"5056\"", "target": "5056", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2528, 4424), 'multiply', 8)", "intermediate": "632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 25242 and 36060, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3606\"\nresult = \"7212\"", "target": "7212", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25242, 36060), 'multiply', 2)", "intermediate": "3606", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1485 and 3960, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"495\"\nresult = \"2475\"", "target": "2475", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (1485, 3960), 'multiply', 5)", "intermediate": "495", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 158 and 20, then apply gcf to the result and 20856.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3160\"\nresult = \"632\"", "target": "632", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (158, 20), 'gcf', 20856)", "intermediate": "3160", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 53 and 20, then apply gcf to the result and 9010.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1060\"\nresult = \"530\"", "target": "530", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (53, 20), 'gcf', 9010)", "intermediate": "1060", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 119 and 84, then apply gcf to the result and 84966.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9996\"\nresult = \"4998\"", "target": "4998", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (119, 84), 'gcf', 84966)", "intermediate": "9996", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 46 and 61, then apply gcf to the result and 4392.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2806\"\nresult = \"122\"", "target": "122", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (46, 61), 'gcf', 4392)", "intermediate": "2806", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 105 and 73, then apply gcf to the result and 6570.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7665\"\nresult = \"1095\"", "target": "1095", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (105, 73), 'gcf', 6570)", "intermediate": "7665", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 69, then apply gcf to the result and 966.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3588\"\nresult = \"138\"", "target": "138", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (52, 69), 'gcf', 966)", "intermediate": "3588", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 50 and 110, then apply gcf to the result and 14500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5500\"\nresult = \"500\"", "target": "500", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (50, 110), 'gcf', 14500)", "intermediate": "5500", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 82 and 48, then apply gcf to the result and 4264.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3936\"\nresult = \"328\"", "target": "328", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (82, 48), 'gcf', 4264)", "intermediate": "3936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 57 and 134, then apply gcf to the result and 4623.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7638\"\nresult = \"201\"", "target": "201", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (57, 134), 'gcf', 4623)", "intermediate": "7638", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 93 and 74, then apply gcf to the result and 19499.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6882\"\nresult = \"1147\"", "target": "1147", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (93, 74), 'gcf', 19499)", "intermediate": "6882", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 28 and 54, then apply gcf to the result and 6216.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1512\"\nresult = \"168\"", "target": "168", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (28, 54), 'gcf', 6216)", "intermediate": "1512", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 124 and 37, then apply gcf to the result and 11470.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4588\"\nresult = \"2294\"", "target": "2294", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (124, 37), 'gcf', 11470)", "intermediate": "4588", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 136 and 47, then apply gcf to the result and 11656.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6392\"\nresult = \"376\"", "target": "376", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (136, 47), 'gcf', 11656)", "intermediate": "6392", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 145 and 51, then apply gcf to the result and 6090.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7395\"\nresult = \"435\"", "target": "435", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (145, 51), 'gcf', 6090)", "intermediate": "7395", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 134 and 18, then apply gcf to the result and 2814.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2412\"\nresult = \"402\"", "target": "402", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (134, 18), 'gcf', 2814)", "intermediate": "2412", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 164, then apply gcf to the result and 10373.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3772\"\nresult = \"943\"", "target": "943", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (23, 164), 'gcf', 10373)", "intermediate": "3772", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 114 and 61, then apply gcf to the result and 976.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6954\"\nresult = \"122\"", "target": "122", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (114, 61), 'gcf', 976)", "intermediate": "6954", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 65 and 80, then apply gcf to the result and 3640.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5200\"\nresult = \"520\"", "target": "520", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (65, 80), 'gcf', 3640)", "intermediate": "5200", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 26 and 101, then apply gcf to the result and 40703.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2626\"\nresult = \"1313\"", "target": "1313", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (26, 101), 'gcf', 40703)", "intermediate": "2626", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 120 and 61, then apply gcf to the result and 78080.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7320\"\nresult = \"2440\"", "target": "2440", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (120, 61), 'gcf', 78080)", "intermediate": "7320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 55 and 90, then apply gcf to the result and 5346.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4950\"\nresult = \"198\"", "target": "198", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (55, 90), 'gcf', 5346)", "intermediate": "4950", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 63 and 98, then apply gcf to the result and 83349.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6174\"\nresult = \"3087\"", "target": "3087", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (63, 98), 'gcf', 83349)", "intermediate": "6174", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 175 and 55, then apply gcf to the result and 4500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9625\"\nresult = \"125\"", "target": "125", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (175, 55), 'gcf', 4500)", "intermediate": "9625", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 34 and 113, then apply gcf to the result and 9605.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3842\"\nresult = \"1921\"", "target": "1921", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (34, 113), 'gcf', 9605)", "intermediate": "3842", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 49 and 125, then apply gcf to the result and 15925.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6125\"\nresult = \"1225\"", "target": "1225", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (49, 125), 'gcf', 15925)", "intermediate": "6125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 111 and 61, then apply gcf to the result and 2013.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6771\"\nresult = \"183\"", "target": "183", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (111, 61), 'gcf', 2013)", "intermediate": "6771", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 59, then apply gcf to the result and 4484.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1298\"\nresult = \"118\"", "target": "118", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (22, 59), 'gcf', 4484)", "intermediate": "1298", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 166, then apply gcf to the result and 8300.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3984\"\nresult = \"332\"", "target": "332", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 166), 'gcf', 8300)", "intermediate": "3984", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 113, then apply gcf to the result and 1356.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2486\"\nresult = \"226\"", "target": "226", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (22, 113), 'gcf', 1356)", "intermediate": "2486", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 57 and 160, then apply gcf to the result and 7030.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9120\"\nresult = \"190\"", "target": "190", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (57, 160), 'gcf', 7030)", "intermediate": "9120", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 147 and 18, then apply gcf to the result and 6615.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2646\"\nresult = \"1323\"", "target": "1323", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (147, 18), 'gcf', 6615)", "intermediate": "2646", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 103 and 95, then apply gcf to the result and 6180.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9785\"\nresult = \"515\"", "target": "515", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (103, 95), 'gcf', 6180)", "intermediate": "9785", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 64, then apply gcf to the result and 2176.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1024\"\nresult = \"128\"", "target": "128", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (16, 64), 'gcf', 2176)", "intermediate": "1024", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 75 and 110, then apply gcf to the result and 1350.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8250\"\nresult = \"150\"", "target": "150", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (75, 110), 'gcf', 1350)", "intermediate": "8250", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 15, then apply gcf to the result and 4205.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"435\"\nresult = \"145\"", "target": "145", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (29, 15), 'gcf', 4205)", "intermediate": "435", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 153, then apply gcf to the result and 60588.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3672\"\nresult = \"1836\"", "target": "1836", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 153), 'gcf', 60588)", "intermediate": "3672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 30 and 47, then apply gcf to the result and 7285.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1410\"\nresult = \"235\"", "target": "235", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (30, 47), 'gcf', 7285)", "intermediate": "1410", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 51, then apply gcf to the result and 1071.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"765\"\nresult = \"153\"", "target": "153", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (15, 51), 'gcf', 1071)", "intermediate": "765", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 48 and 38, then apply gcf to the result and 15960.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1824\"\nresult = \"456\"", "target": "456", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (48, 38), 'gcf', 15960)", "intermediate": "1824", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 49 and 194, then apply gcf to the result and 3395.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9506\"\nresult = \"679\"", "target": "679", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (49, 194), 'gcf', 3395)", "intermediate": "9506", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 50 and 18, then apply gcf to the result and 13950.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"900\"\nresult = \"450\"", "target": "450", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (50, 18), 'gcf', 13950)", "intermediate": "900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 130 and 56, then apply gcf to the result and 69160.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7280\"\nresult = \"3640\"", "target": "3640", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (130, 56), 'gcf', 69160)", "intermediate": "7280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 66 and 138, then apply gcf to the result and 14490.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9108\"\nresult = \"414\"", "target": "414", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (66, 138), 'gcf', 14490)", "intermediate": "9108", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 145 and 24, then apply gcf to the result and 4560.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3480\"\nresult = \"120\"", "target": "120", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (145, 24), 'gcf', 4560)", "intermediate": "3480", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 35 and 38, then apply gcf to the result and 5510.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1330\"\nresult = \"190\"", "target": "190", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (35, 38), 'gcf', 5510)", "intermediate": "1330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 91 and 57, then apply gcf to the result and 4641.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5187\"\nresult = \"273\"", "target": "273", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (91, 57), 'gcf', 4641)", "intermediate": "5187", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 196 and 51, then apply gcf to the result and 51646.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9996\"\nresult = \"1666\"", "target": "1666", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (196, 51), 'gcf', 51646)", "intermediate": "9996", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 34 and 65, then apply gcf to the result and 4250.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2210\"\nresult = \"170\"", "target": "170", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (34, 65), 'gcf', 4250)", "intermediate": "2210", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 65 and 75, then apply gcf to the result and 9100.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4875\"\nresult = \"325\"", "target": "325", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (65, 75), 'gcf', 9100)", "intermediate": "4875", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 95, then apply gcf to the result and 8398.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1235\"\nresult = \"247\"", "target": "247", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (13, 95), 'gcf', 8398)", "intermediate": "1235", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 116, then apply gcf to the result and 6264.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2784\"\nresult = \"696\"", "target": "696", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 116), 'gcf', 6264)", "intermediate": "2784", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 130 and 53, then apply gcf to the result and 1855.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6890\"\nresult = \"265\"", "target": "265", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (130, 53), 'gcf', 1855)", "intermediate": "6890", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 112 and 17, then apply gcf to the result and 5032.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1904\"\nresult = \"136\"", "target": "136", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (112, 17), 'gcf', 5032)", "intermediate": "1904", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 180 and 51, then apply gcf to the result and 6750.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9180\"\nresult = \"270\"", "target": "270", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (180, 51), 'gcf', 6750)", "intermediate": "9180", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 166 and 53, then apply gcf to the result and 3816.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8798\"\nresult = \"106\"", "target": "106", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (166, 53), 'gcf', 3816)", "intermediate": "8798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 156 and 20, then apply gcf to the result and 6864.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3120\"\nresult = \"624\"", "target": "624", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (156, 20), 'gcf', 6864)", "intermediate": "3120", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 119, then apply gcf to the result and 5202.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2023\"\nresult = \"289\"", "target": "289", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (17, 119), 'gcf', 5202)", "intermediate": "2023", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 51, then apply gcf to the result and 9248.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"816\"\nresult = \"272\"", "target": "272", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (16, 51), 'gcf', 9248)", "intermediate": "816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 121 and 26, then apply gcf to the result and 8294.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3146\"\nresult = \"286\"", "target": "286", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (121, 26), 'gcf', 8294)", "intermediate": "3146", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 52, then apply gcf to the result and 4292.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1508\"\nresult = \"116\"", "target": "116", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (29, 52), 'gcf', 4292)", "intermediate": "1508", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 94 and 85, then apply gcf to the result and 21573.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7990\"\nresult = \"799\"", "target": "799", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (94, 85), 'gcf', 21573)", "intermediate": "7990", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 42 and 111, then apply gcf to the result and 5661.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4662\"\nresult = \"333\"", "target": "333", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (42, 111), 'gcf', 5661)", "intermediate": "4662", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 177 and 56, then apply gcf to the result and 45312.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9912\"\nresult = \"1416\"", "target": "1416", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (177, 56), 'gcf', 45312)", "intermediate": "9912", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 194 and 45, then apply gcf to the result and 66348.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8730\"\nresult = \"1746\"", "target": "1746", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (194, 45), 'gcf', 66348)", "intermediate": "8730", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 95 and 92, then apply gcf to the result and 8050.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8740\"\nresult = \"230\"", "target": "230", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (95, 92), 'gcf', 8050)", "intermediate": "8740", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 198 and 35, then apply gcf to the result and 2805.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6930\"\nresult = \"165\"", "target": "165", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (198, 35), 'gcf', 2805)", "intermediate": "6930", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 28 and 55, then apply gcf to the result and 5698.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1540\"\nresult = \"154\"", "target": "154", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (28, 55), 'gcf', 5698)", "intermediate": "1540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 46 and 130, then apply gcf to the result and 46345.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5980\"\nresult = \"1495\"", "target": "1495", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (46, 130), 'gcf', 46345)", "intermediate": "5980", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 54 and 82, then apply gcf to the result and 10824.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4428\"\nresult = \"492\"", "target": "492", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (54, 82), 'gcf', 10824)", "intermediate": "4428", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 44 and 24, then apply gcf to the result and 880.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1056\"\nresult = \"176\"", "target": "176", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (44, 24), 'gcf', 880)", "intermediate": "1056", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 105 and 90, then apply gcf to the result and 16875.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9450\"\nresult = \"675\"", "target": "675", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (105, 90), 'gcf', 16875)", "intermediate": "9450", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 107, then apply gcf to the result and 9309.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1284\"\nresult = \"321\"", "target": "321", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (12, 107), 'gcf', 9309)", "intermediate": "1284", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 82 and 39, then apply gcf to the result and 15457.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3198\"\nresult = \"533\"", "target": "533", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (82, 39), 'gcf', 15457)", "intermediate": "3198", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 72 and 57, then apply gcf to the result and 3344.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4104\"\nresult = \"152\"", "target": "152", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (72, 57), 'gcf', 3344)", "intermediate": "4104", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 99, then apply gcf to the result and 7524.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1386\"\nresult = \"198\"", "target": "198", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (14, 99), 'gcf', 7524)", "intermediate": "1386", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 46 and 16, then apply gcf to the result and 4784.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"736\"\nresult = \"368\"", "target": "368", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (46, 16), 'gcf', 4784)", "intermediate": "736", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 38 and 50, then apply gcf to the result and 500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1900\"\nresult = \"100\"", "target": "100", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (38, 50), 'gcf', 500)", "intermediate": "1900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 111 and 54, then apply gcf to the result and 79920.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5994\"\nresult = \"1998\"", "target": "1998", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (111, 54), 'gcf', 79920)", "intermediate": "5994", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 175 and 16, then apply gcf to the result and 2300.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2800\"\nresult = \"100\"", "target": "100", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (175, 16), 'gcf', 2300)", "intermediate": "2800", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 161 and 21, then apply gcf to the result and 4830.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3381\"\nresult = \"483\"", "target": "483", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (161, 21), 'gcf', 4830)", "intermediate": "3381", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 64 and 81, then apply gcf to the result and 1188.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5184\"\nresult = \"108\"", "target": "108", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (64, 81), 'gcf', 1188)", "intermediate": "5184", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 34 and 44, then apply gcf to the result and 4862.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1496\"\nresult = \"374\"", "target": "374", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (34, 44), 'gcf', 4862)", "intermediate": "1496", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 26 and 134, then apply gcf to the result and 12194.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3484\"\nresult = \"1742\"", "target": "1742", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (26, 134), 'gcf', 12194)", "intermediate": "3484", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 121 and 21, then apply gcf to the result and 3630.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2541\"\nresult = \"363\"", "target": "363", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (121, 21), 'gcf', 3630)", "intermediate": "2541", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 70, then apply gcf to the result and 20125.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1610\"\nresult = \"805\"", "target": "805", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (23, 70), 'gcf', 20125)", "intermediate": "1610", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 110 and 77, then apply gcf to the result and 2299.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8470\"\nresult = \"121\"", "target": "121", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (110, 77), 'gcf', 2299)", "intermediate": "8470", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 24, then apply gcf to the result and 3696.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"504\"\nresult = \"168\"", "target": "168", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (21, 24), 'gcf', 3696)", "intermediate": "504", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 55 and 52, then apply gcf to the result and 6006.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2860\"\nresult = \"286\"", "target": "286", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (55, 52), 'gcf', 6006)", "intermediate": "2860", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 143, then apply gcf to the result and 1521.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1859\"\nresult = \"169\"", "target": "169", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (13, 143), 'gcf', 1521)", "intermediate": "1859", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 45, then apply gcf to the result and 7125.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1125\"\nresult = \"375\"", "target": "375", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (25, 45), 'gcf', 7125)", "intermediate": "1125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 69 and 109, then apply gcf to the result and 6867.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7521\"\nresult = \"327\"", "target": "327", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (69, 109), 'gcf', 6867)", "intermediate": "7521", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 28, then apply gcf to the result and 1785.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"476\"\nresult = \"119\"", "target": "119", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (17, 28), 'gcf', 1785)", "intermediate": "476", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 24, then apply gcf to the result and 16640.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1248\"\nresult = \"416\"", "target": "416", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (52, 24), 'gcf', 16640)", "intermediate": "1248", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 181 and 27, then apply gcf to the result and 45612.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4887\"\nresult = \"1629\"", "target": "1629", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (181, 27), 'gcf', 45612)", "intermediate": "4887", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 154, then apply gcf to the result and 6699.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4466\"\nresult = \"2233\"", "target": "2233", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (29, 154), 'gcf', 6699)", "intermediate": "4466", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 150 and 38, then apply gcf to the result and 16150.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5700\"\nresult = \"950\"", "target": "950", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (150, 38), 'gcf', 16150)", "intermediate": "5700", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 126 and 44, then apply gcf to the result and 1540.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5544\"\nresult = \"308\"", "target": "308", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (126, 44), 'gcf', 1540)", "intermediate": "5544", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 112, then apply gcf to the result and 19656.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5824\"\nresult = \"728\"", "target": "728", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (52, 112), 'gcf', 19656)", "intermediate": "5824", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 92 and 84, then apply gcf to the result and 2760.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7728\"\nresult = \"552\"", "target": "552", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (92, 84), 'gcf', 2760)", "intermediate": "7728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 70 and 93, then apply gcf to the result and 36890.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6510\"\nresult = \"2170\"", "target": "2170", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (70, 93), 'gcf', 36890)", "intermediate": "6510", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 176 and 30, then apply gcf to the result and 4680.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5280\"\nresult = \"120\"", "target": "120", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (176, 30), 'gcf', 4680)", "intermediate": "5280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 65 and 39, then apply gcf to the result and 29575.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2535\"\nresult = \"845\"", "target": "845", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (65, 39), 'gcf', 29575)", "intermediate": "2535", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 82 and 93, then apply gcf to the result and 8856.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7626\"\nresult = \"246\"", "target": "246", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (82, 93), 'gcf', 8856)", "intermediate": "7626", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 126 and 12, then apply gcf to the result and 3132.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1512\"\nresult = \"108\"", "target": "108", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (126, 12), 'gcf', 3132)", "intermediate": "1512", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 31 and 88, then apply gcf to the result and 2356.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2728\"\nresult = \"124\"", "target": "124", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (31, 88), 'gcf', 2356)", "intermediate": "2728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 99, then apply gcf to the result and 5589.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2277\"\nresult = \"207\"", "target": "207", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (23, 99), 'gcf', 5589)", "intermediate": "2277", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 144 and 28, then apply gcf to the result and 17472.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4032\"\nresult = \"1344\"", "target": "1344", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (144, 28), 'gcf', 17472)", "intermediate": "4032", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 60 and 14, then apply gcf to the result and 1470.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"840\"\nresult = \"210\"", "target": "210", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (60, 14), 'gcf', 1470)", "intermediate": "840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 94 and 38, then apply gcf to the result and 51794.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3572\"\nresult = \"1786\"", "target": "1786", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (94, 38), 'gcf', 51794)", "intermediate": "3572", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 193 and 24, then apply gcf to the result and 33582.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4632\"\nresult = \"1158\"", "target": "1158", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (193, 24), 'gcf', 33582)", "intermediate": "4632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 143 and 24, then apply gcf to the result and 4862.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3432\"\nresult = \"286\"", "target": "286", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (143, 24), 'gcf', 4862)", "intermediate": "3432", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 183 and 36, then apply gcf to the result and 17019.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6588\"\nresult = \"549\"", "target": "549", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (183, 36), 'gcf', 17019)", "intermediate": "6588", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 97 and 48, then apply gcf to the result and 2134.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4656\"\nresult = \"194\"", "target": "194", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (97, 48), 'gcf', 2134)", "intermediate": "4656", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 45 and 112, then apply gcf to the result and 3864.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5040\"\nresult = \"168\"", "target": "168", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (45, 112), 'gcf', 3864)", "intermediate": "5040", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 99 and 43, then apply gcf to the result and 1032.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4257\"\nresult = \"129\"", "target": "129", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (99, 43), 'gcf', 1032)", "intermediate": "4257", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 145, then apply gcf to the result and 30450.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2900\"\nresult = \"1450\"", "target": "1450", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (20, 145), 'gcf', 30450)", "intermediate": "2900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 46 and 129, then apply gcf to the result and 6923.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5934\"\nresult = \"989\"", "target": "989", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (46, 129), 'gcf', 6923)", "intermediate": "5934", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 177 and 52, then apply gcf to the result and 3835.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9204\"\nresult = \"767\"", "target": "767", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (177, 52), 'gcf', 3835)", "intermediate": "9204", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 195 and 15, then apply gcf to the result and 8450.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2925\"\nresult = \"325\"", "target": "325", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (195, 15), 'gcf', 8450)", "intermediate": "2925", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 70, then apply gcf to the result and 23275.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1330\"\nresult = \"665\"", "target": "665", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (19, 70), 'gcf', 23275)", "intermediate": "1330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 162 and 20, then apply gcf to the result and 12636.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3240\"\nresult = \"324\"", "target": "324", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (162, 20), 'gcf', 12636)", "intermediate": "3240", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 26, then apply gcf to the result and 2288.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"312\"\nresult = \"104\"", "target": "104", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (12, 26), 'gcf', 2288)", "intermediate": "312", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 158 and 28, then apply gcf to the result and 64148.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4424\"\nresult = \"2212\"", "target": "2212", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (158, 28), 'gcf', 64148)", "intermediate": "4424", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 125 and 72, then apply gcf to the result and 14850.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9000\"\nresult = \"450\"", "target": "450", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (125, 72), 'gcf', 14850)", "intermediate": "9000", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 36, then apply gcf to the result and 8280.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"720\"\nresult = \"360\"", "target": "360", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (20, 36), 'gcf', 8280)", "intermediate": "720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 42 and 64, then apply gcf to the result and 20608.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2688\"\nresult = \"896\"", "target": "896", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (42, 64), 'gcf', 20608)", "intermediate": "2688", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 28 and 67, then apply gcf to the result and 1608.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1876\"\nresult = \"268\"", "target": "268", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (28, 67), 'gcf', 1608)", "intermediate": "1876", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 91 and 95, then apply gcf to the result and 22610.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8645\"\nresult = \"665\"", "target": "665", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (91, 95), 'gcf', 22610)", "intermediate": "8645", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 28 and 118, then apply gcf to the result and 7021.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3304\"\nresult = \"413\"", "target": "413", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (28, 118), 'gcf', 7021)", "intermediate": "3304", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 113 and 76, then apply gcf to the result and 83733.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8588\"\nresult = \"2147\"", "target": "2147", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (113, 76), 'gcf', 83733)", "intermediate": "8588", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 112, then apply gcf to the result and 24864.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2688\"\nresult = \"672\"", "target": "672", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 112), 'gcf', 24864)", "intermediate": "2688", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 33 and 59, then apply gcf to the result and 16874.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1947\"\nresult = \"649\"", "target": "649", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (33, 59), 'gcf', 16874)", "intermediate": "1947", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 143 and 54, then apply gcf to the result and 13299.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7722\"\nresult = \"429\"", "target": "429", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (143, 54), 'gcf', 13299)", "intermediate": "7722", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 75, then apply gcf to the result and 3520.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1650\"\nresult = \"110\"", "target": "110", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (22, 75), 'gcf', 3520)", "intermediate": "1650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 126 and 57, then apply gcf to the result and 6783.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7182\"\nresult = \"399\"", "target": "399", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (126, 57), 'gcf', 6783)", "intermediate": "7182", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 100 and 68, then apply gcf to the result and 35700.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6800\"\nresult = \"1700\"", "target": "1700", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (100, 68), 'gcf', 35700)", "intermediate": "6800", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 64 and 88, then apply gcf to the result and 1024.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5632\"\nresult = \"512\"", "target": "512", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (64, 88), 'gcf', 1024)", "intermediate": "5632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 59 and 96, then apply gcf to the result and 4720.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5664\"\nresult = \"944\"", "target": "944", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (59, 96), 'gcf', 4720)", "intermediate": "5664", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 33 and 37, then apply gcf to the result and 3996.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1221\"\nresult = \"111\"", "target": "111", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (33, 37), 'gcf', 3996)", "intermediate": "1221", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 43 and 166, then apply gcf to the result and 139191.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7138\"\nresult = \"3569\"", "target": "3569", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (43, 166), 'gcf', 139191)", "intermediate": "7138", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 105 and 94, then apply gcf to the result and 5593.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9870\"\nresult = \"329\"", "target": "329", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (105, 94), 'gcf', 5593)", "intermediate": "9870", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 73 and 121, then apply gcf to the result and 12848.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8833\"\nresult = \"803\"", "target": "803", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (73, 121), 'gcf', 12848)", "intermediate": "8833", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 80 and 38, then apply gcf to the result and 4408.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3040\"\nresult = \"152\"", "target": "152", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (80, 38), 'gcf', 4408)", "intermediate": "3040", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 75, then apply gcf to the result and 7875.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1350\"\nresult = \"225\"", "target": "225", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (18, 75), 'gcf', 7875)", "intermediate": "1350", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 125 and 25, then apply gcf to the result and 5625.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3125\"\nresult = \"625\"", "target": "625", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (125, 25), 'gcf', 5625)", "intermediate": "3125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 114 and 32, then apply gcf to the result and 7680.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3648\"\nresult = \"192\"", "target": "192", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (114, 32), 'gcf', 7680)", "intermediate": "3648", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 60, then apply gcf to the result and 2850.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"900\"\nresult = \"150\"", "target": "150", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (15, 60), 'gcf', 2850)", "intermediate": "900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 86 and 94, then apply gcf to the result and 5076.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8084\"\nresult = \"188\"", "target": "188", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (86, 94), 'gcf', 5076)", "intermediate": "8084", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 86 and 90, then apply gcf to the result and 2365.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7740\"\nresult = \"215\"", "target": "215", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (86, 90), 'gcf', 2365)", "intermediate": "7740", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 132 and 48, then apply gcf to the result and 2496.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6336\"\nresult = \"192\"", "target": "192", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (132, 48), 'gcf', 2496)", "intermediate": "6336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 173 and 55, then apply gcf to the result and 15570.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9515\"\nresult = \"865\"", "target": "865", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (173, 55), 'gcf', 15570)", "intermediate": "9515", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 89 and 38, then apply gcf to the result and 62567.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3382\"\nresult = \"1691\"", "target": "1691", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (89, 38), 'gcf', 62567)", "intermediate": "3382", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 103, then apply gcf to the result and 64272.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3296\"\nresult = \"1648\"", "target": "1648", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (32, 103), 'gcf', 64272)", "intermediate": "3296", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 199 and 22, then apply gcf to the result and 6567.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4378\"\nresult = \"2189\"", "target": "2189", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (199, 22), 'gcf', 6567)", "intermediate": "4378", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 56 and 174, then apply gcf to the result and 2900.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9744\"\nresult = \"116\"", "target": "116", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (56, 174), 'gcf', 2900)", "intermediate": "9744", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 78 and 59, then apply gcf to the result and 7788.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4602\"\nresult = \"354\"", "target": "354", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (78, 59), 'gcf', 7788)", "intermediate": "4602", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 36 and 174, then apply gcf to the result and 72036.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6264\"\nresult = \"3132\"", "target": "3132", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (36, 174), 'gcf', 72036)", "intermediate": "6264", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 194 and 25, then apply gcf to the result and 65475.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4850\"\nresult = \"2425\"", "target": "2425", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (194, 25), 'gcf', 65475)", "intermediate": "4850", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 118 and 77, then apply gcf to the result and 10325.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9086\"\nresult = \"413\"", "target": "413", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (118, 77), 'gcf', 10325)", "intermediate": "9086", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 67 and 15, then apply gcf to the result and 7839.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1005\"\nresult = \"201\"", "target": "201", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (67, 15), 'gcf', 7839)", "intermediate": "1005", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 75 and 38, then apply gcf to the result and 13775.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2850\"\nresult = \"475\"", "target": "475", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (75, 38), 'gcf', 13775)", "intermediate": "2850", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 76 and 66, then apply gcf to the result and 8184.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5016\"\nresult = \"264\"", "target": "264", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (76, 66), 'gcf', 8184)", "intermediate": "5016", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 131 and 56, then apply gcf to the result and 3144.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7336\"\nresult = \"1048\"", "target": "1048", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (131, 56), 'gcf', 3144)", "intermediate": "7336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 140 and 12, then apply gcf to the result and 2688.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1680\"\nresult = \"336\"", "target": "336", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (140, 12), 'gcf', 2688)", "intermediate": "1680", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 176, then apply gcf to the result and 5952.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4224\"\nresult = \"192\"", "target": "192", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 176), 'gcf', 5952)", "intermediate": "4224", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 35 and 47, then apply gcf to the result and 1316.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1645\"\nresult = \"329\"", "target": "329", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (35, 47), 'gcf', 1316)", "intermediate": "1645", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 17, then apply gcf to the result and 595.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"357\"\nresult = \"119\"", "target": "119", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (21, 17), 'gcf', 595)", "intermediate": "357", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 61 and 156, then apply gcf to the result and 7564.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9516\"\nresult = \"244\"", "target": "244", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (61, 156), 'gcf', 7564)", "intermediate": "9516", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 113 and 18, then apply gcf to the result and 33561.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2034\"\nresult = \"1017\"", "target": "1017", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (113, 18), 'gcf', 33561)", "intermediate": "2034", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 62 and 78, then apply gcf to the result and 2496.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4836\"\nresult = \"156\"", "target": "156", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (62, 78), 'gcf', 2496)", "intermediate": "4836", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 118, then apply gcf to the result and 2478.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2124\"\nresult = \"354\"", "target": "354", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (18, 118), 'gcf', 2478)", "intermediate": "2124", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 75 and 62, then apply gcf to the result and 15345.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4650\"\nresult = \"465\"", "target": "465", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (75, 62), 'gcf', 15345)", "intermediate": "4650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 63 and 56, then apply gcf to the result and 20160.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3528\"\nresult = \"504\"", "target": "504", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (63, 56), 'gcf', 20160)", "intermediate": "3528", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 79 and 69, then apply gcf to the result and 6636.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5451\"\nresult = \"237\"", "target": "237", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (79, 69), 'gcf', 6636)", "intermediate": "5451", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 94 and 47, then apply gcf to the result and 72897.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4418\"\nresult = \"2209\"", "target": "2209", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (94, 47), 'gcf', 72897)", "intermediate": "4418", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 120 and 16, then apply gcf to the result and 5952.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1920\"\nresult = \"192\"", "target": "192", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (120, 16), 'gcf', 5952)", "intermediate": "1920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 60 and 63, then apply gcf to the result and 12474.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3780\"\nresult = \"378\"", "target": "378", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (60, 63), 'gcf', 12474)", "intermediate": "3780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 27 and 102, then apply gcf to the result and 1620.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2754\"\nresult = \"162\"", "target": "162", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (27, 102), 'gcf', 1620)", "intermediate": "2754", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 192 and 44, then apply gcf to the result and 6512.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8448\"\nresult = \"176\"", "target": "176", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (192, 44), 'gcf', 6512)", "intermediate": "8448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 178 and 24, then apply gcf to the result and 3560.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4272\"\nresult = \"712\"", "target": "712", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (178, 24), 'gcf', 3560)", "intermediate": "4272", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 166 and 15, then apply gcf to the result and 31540.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2490\"\nresult = \"830\"", "target": "830", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (166, 15), 'gcf', 31540)", "intermediate": "2490", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 64 and 91, then apply gcf to the result and 90272.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5824\"\nresult = \"2912\"", "target": "2912", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (64, 91), 'gcf', 90272)", "intermediate": "5824", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 165 and 57, then apply gcf to the result and 22990.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9405\"\nresult = \"1045\"", "target": "1045", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (165, 57), 'gcf', 22990)", "intermediate": "9405", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 179 and 38, then apply gcf to the result and 51015.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6802\"\nresult = \"3401\"", "target": "3401", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (179, 38), 'gcf', 51015)", "intermediate": "6802", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 56 and 72, then apply gcf to the result and 33264.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4032\"\nresult = \"1008\"", "target": "1008", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (56, 72), 'gcf', 33264)", "intermediate": "4032", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 78 and 122, then apply gcf to the result and 15067.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9516\"\nresult = \"793\"", "target": "793", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (78, 122), 'gcf', 15067)", "intermediate": "9516", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 180 and 22, then apply gcf to the result and 2244.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3960\"\nresult = \"132\"", "target": "132", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (180, 22), 'gcf', 2244)", "intermediate": "3960", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 123, then apply gcf to the result and 36900.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2952\"\nresult = \"1476\"", "target": "1476", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (24, 123), 'gcf', 36900)", "intermediate": "2952", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 50 and 80, then apply gcf to the result and 1200.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4000\"\nresult = \"400\"", "target": "400", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (50, 80), 'gcf', 1200)", "intermediate": "4000", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 72 and 76, then apply gcf to the result and 1976.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5472\"\nresult = \"152\"", "target": "152", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (72, 76), 'gcf', 1976)", "intermediate": "5472", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 69 and 73, then apply gcf to the result and 57086.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5037\"\nresult = \"1679\"", "target": "1679", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (69, 73), 'gcf', 57086)", "intermediate": "5037", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 99 and 73, then apply gcf to the result and 4161.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7227\"\nresult = \"219\"", "target": "219", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (99, 73), 'gcf', 4161)", "intermediate": "7227", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 34 and 105, then apply gcf to the result and 41055.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3570\"\nresult = \"1785\"", "target": "1785", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (34, 105), 'gcf', 41055)", "intermediate": "3570", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 162, then apply gcf to the result and 8613.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4698\"\nresult = \"783\"", "target": "783", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (29, 162), 'gcf', 8613)", "intermediate": "4698", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 70, then apply gcf to the result and 3220.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3640\"\nresult = \"140\"", "target": "140", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (52, 70), 'gcf', 3220)", "intermediate": "3640", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 120 and 53, then apply gcf to the result and 11024.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6360\"\nresult = \"424\"", "target": "424", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (120, 53), 'gcf', 11024)", "intermediate": "6360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 40 and 82, then apply gcf to the result and 11152.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3280\"\nresult = \"656\"", "target": "656", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (40, 82), 'gcf', 11152)", "intermediate": "3280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 38, then apply gcf to the result and 11305.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"646\"\nresult = \"323\"", "target": "323", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (17, 38), 'gcf', 11305)", "intermediate": "646", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 59 and 91, then apply gcf to the result and 13039.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5369\"\nresult = \"767\"", "target": "767", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (59, 91), 'gcf', 13039)", "intermediate": "5369", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 69 and 119, then apply gcf to the result and 14076.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8211\"\nresult = \"1173\"", "target": "1173", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (69, 119), 'gcf', 14076)", "intermediate": "8211", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 78 and 86, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3354\"\nresult = \"6708\"", "target": "6708", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (78, 86), 'multiply', 2)", "intermediate": "3354", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 182 and 49, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1274\"\nresult = \"3822\"", "target": "3822", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (182, 49), 'multiply', 3)", "intermediate": "1274", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 59 and 45, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2655\"\nresult = \"5310\"", "target": "5310", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (59, 45), 'multiply', 2)", "intermediate": "2655", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 148 and 66, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4884\"\nresult = \"9768\"", "target": "9768", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (148, 66), 'multiply', 2)", "intermediate": "4884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 19 and 122, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2318\"\nresult = \"4636\"", "target": "4636", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (19, 122), 'multiply', 2)", "intermediate": "2318", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 15 and 82, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1230\"\nresult = \"9840\"", "target": "9840", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (15, 82), 'multiply', 8)", "intermediate": "1230", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 49 and 33, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1617\"\nresult = \"6468\"", "target": "6468", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (49, 33), 'multiply', 4)", "intermediate": "1617", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 77, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3619\"\nresult = \"7238\"", "target": "7238", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (47, 77), 'multiply', 2)", "intermediate": "3619", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 100 and 164, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4100\"\nresult = \"8200\"", "target": "8200", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (100, 164), 'multiply', 2)", "intermediate": "4100", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 124, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2852\"\nresult = \"8556\"", "target": "8556", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (46, 124), 'multiply', 3)", "intermediate": "2852", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 87 and 63, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1827\"\nresult = \"5481\"", "target": "5481", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (87, 63), 'multiply', 3)", "intermediate": "1827", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 152 and 72, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1368\"\nresult = \"8208\"", "target": "8208", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (152, 72), 'multiply', 6)", "intermediate": "1368", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 72 and 61, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4392\"\nresult = \"8784\"", "target": "8784", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (72, 61), 'multiply', 2)", "intermediate": "4392", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 111 and 12, then apply multiply to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"444\"\nresult = \"6660\"", "target": "6660", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (111, 12), 'multiply', 15)", "intermediate": "444", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 190 and 125, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4750\"\nresult = \"9500\"", "target": "9500", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (190, 125), 'multiply', 2)", "intermediate": "4750", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 195 and 180, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2340\"\nresult = \"4680\"", "target": "4680", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (195, 180), 'multiply', 2)", "intermediate": "2340", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 170 and 22, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1870\"\nresult = \"3740\"", "target": "3740", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (170, 22), 'multiply', 2)", "intermediate": "1870", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 154 and 40, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3080\"\nresult = \"6160\"", "target": "6160", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (154, 40), 'multiply', 2)", "intermediate": "3080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 29, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1566\"\nresult = \"7830\"", "target": "7830", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (54, 29), 'multiply', 5)", "intermediate": "1566", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 146 and 12, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"876\"\nresult = \"3504\"", "target": "3504", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (146, 12), 'multiply', 4)", "intermediate": "876", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 91 and 43, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3913\"\nresult = \"7826\"", "target": "7826", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (91, 43), 'multiply', 2)", "intermediate": "3913", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 13 and 93, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1209\"\nresult = \"4836\"", "target": "4836", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (13, 93), 'multiply', 4)", "intermediate": "1209", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 69 and 183, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4209\"\nresult = \"8418\"", "target": "8418", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (69, 183), 'multiply', 2)", "intermediate": "4209", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 87 and 20, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1740\"\nresult = \"8700\"", "target": "8700", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (87, 20), 'multiply', 5)", "intermediate": "1740", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 52 and 49, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2548\"\nresult = \"7644\"", "target": "7644", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (52, 49), 'multiply', 3)", "intermediate": "2548", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 120 and 162, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3240\"\nresult = \"6480\"", "target": "6480", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (120, 162), 'multiply', 2)", "intermediate": "3240", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 120 and 21, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"840\"\nresult = \"5880\"", "target": "5880", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (120, 21), 'multiply', 7)", "intermediate": "840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 29, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"986\"\nresult = \"1972\"", "target": "1972", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (34, 29), 'multiply', 2)", "intermediate": "986", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 165 and 13, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2145\"\nresult = \"8580\"", "target": "8580", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (165, 13), 'multiply', 4)", "intermediate": "2145", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 90 and 60, then apply multiply to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"180\"\nresult = \"5400\"", "target": "5400", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (90, 60), 'multiply', 30)", "intermediate": "180", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 153, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2295\"\nresult = \"6885\"", "target": "6885", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (135, 153), 'multiply', 3)", "intermediate": "2295", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 97 and 27, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2619\"\nresult = \"7857\"", "target": "7857", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (97, 27), 'multiply', 3)", "intermediate": "2619", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 49, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2303\"\nresult = \"4606\"", "target": "4606", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (47, 49), 'multiply', 2)", "intermediate": "2303", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 40 and 106, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2120\"\nresult = \"4240\"", "target": "4240", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (40, 106), 'multiply', 2)", "intermediate": "2120", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 44 and 37, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1628\"\nresult = \"6512\"", "target": "6512", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (44, 37), 'multiply', 4)", "intermediate": "1628", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 123 and 23, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2829\"\nresult = \"8487\"", "target": "8487", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (123, 23), 'multiply', 3)", "intermediate": "2829", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 45 and 24, then apply multiply to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"360\"\nresult = \"4320\"", "target": "4320", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (45, 24), 'multiply', 12)", "intermediate": "360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 44 and 13, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"572\"\nresult = \"5148\"", "target": "5148", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (44, 13), 'multiply', 9)", "intermediate": "572", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 186 and 50, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4650\"\nresult = \"9300\"", "target": "9300", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (186, 50), 'multiply', 2)", "intermediate": "4650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 30 and 100, then apply multiply to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"300\"\nresult = \"5400\"", "target": "5400", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (30, 100), 'multiply', 18)", "intermediate": "300", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 66 and 24, then apply multiply to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264\"\nresult = \"4488\"", "target": "4488", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (66, 24), 'multiply', 17)", "intermediate": "264", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 25 and 152, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3800\"\nresult = \"7600\"", "target": "7600", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 152), 'multiply', 2)", "intermediate": "3800", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 88 and 78, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3432\"\nresult = \"6864\"", "target": "6864", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (88, 78), 'multiply', 2)", "intermediate": "3432", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 107 and 25, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2675\"\nresult = \"5350\"", "target": "5350", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (107, 25), 'multiply', 2)", "intermediate": "2675", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 198, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"594\"\nresult = \"1188\"", "target": "1188", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (54, 198), 'multiply', 2)", "intermediate": "594", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 35 and 97, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3395\"\nresult = \"6790\"", "target": "6790", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (35, 97), 'multiply', 2)", "intermediate": "3395", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 22 and 40, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"440\"\nresult = \"2200\"", "target": "2200", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (22, 40), 'multiply', 5)", "intermediate": "440", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 90 and 115, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2070\"\nresult = \"6210\"", "target": "6210", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (90, 115), 'multiply', 3)", "intermediate": "2070", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 132 and 111, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4884\"\nresult = \"9768\"", "target": "9768", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (132, 111), 'multiply', 2)", "intermediate": "4884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 12 and 146, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"876\"\nresult = \"1752\"", "target": "1752", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (12, 146), 'multiply', 2)", "intermediate": "876", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 82 and 96, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3936\"\nresult = \"7872\"", "target": "7872", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (82, 96), 'multiply', 2)", "intermediate": "3936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 118 and 52, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3068\"\nresult = \"9204\"", "target": "9204", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (118, 52), 'multiply', 3)", "intermediate": "3068", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 116 and 78, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4524\"\nresult = \"9048\"", "target": "9048", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (116, 78), 'multiply', 2)", "intermediate": "4524", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 130 and 160, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2080\"\nresult = \"8320\"", "target": "8320", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (130, 160), 'multiply', 4)", "intermediate": "2080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 19 and 158, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3002\"\nresult = \"6004\"", "target": "6004", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (19, 158), 'multiply', 2)", "intermediate": "3002", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 140, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3780\"\nresult = \"7560\"", "target": "7560", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (135, 140), 'multiply', 2)", "intermediate": "3780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 44 and 38, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"836\"\nresult = \"1672\"", "target": "1672", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (44, 38), 'multiply', 2)", "intermediate": "836", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 162 and 46, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3726\"\nresult = \"7452\"", "target": "7452", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (162, 46), 'multiply', 2)", "intermediate": "3726", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 32 and 139, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4448\"\nresult = \"8896\"", "target": "8896", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (32, 139), 'multiply', 2)", "intermediate": "4448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 66 and 192, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2112\"\nresult = \"8448\"", "target": "8448", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (66, 192), 'multiply', 4)", "intermediate": "2112", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 121 and 18, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2178\"\nresult = \"8712\"", "target": "8712", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (121, 18), 'multiply', 4)", "intermediate": "2178", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 17 and 186, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3162\"\nresult = \"6324\"", "target": "6324", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (17, 186), 'multiply', 2)", "intermediate": "3162", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 25 and 199, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4975\"\nresult = \"9950\"", "target": "9950", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 199), 'multiply', 2)", "intermediate": "4975", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 74 and 92, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3404\"\nresult = \"6808\"", "target": "6808", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (74, 92), 'multiply', 2)", "intermediate": "3404", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 25 and 146, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3650\"\nresult = \"7300\"", "target": "7300", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 146), 'multiply', 2)", "intermediate": "3650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 15 and 37, then apply multiply to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"555\"\nresult = \"7215\"", "target": "7215", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (15, 37), 'multiply', 13)", "intermediate": "555", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 102 and 46, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2346\"\nresult = \"9384\"", "target": "9384", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (102, 46), 'multiply', 4)", "intermediate": "2346", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 100 and 196, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4900\"\nresult = \"9800\"", "target": "9800", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (100, 196), 'multiply', 2)", "intermediate": "4900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 182 and 84, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1092\"\nresult = \"3276\"", "target": "3276", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (182, 84), 'multiply', 3)", "intermediate": "1092", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 44, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1012\"\nresult = \"4048\"", "target": "4048", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (46, 44), 'multiply', 4)", "intermediate": "1012", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 164 and 38, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3116\"\nresult = \"6232\"", "target": "6232", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (164, 38), 'multiply', 2)", "intermediate": "3116", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 48 and 168, then apply multiply to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"336\"\nresult = \"8400\"", "target": "8400", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (48, 168), 'multiply', 25)", "intermediate": "336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 142 and 18, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1278\"\nresult = \"6390\"", "target": "6390", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (142, 18), 'multiply', 5)", "intermediate": "1278", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 143 and 117, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1287\"\nresult = \"2574\"", "target": "2574", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (143, 117), 'multiply', 2)", "intermediate": "1287", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 43 and 64, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2752\"\nresult = \"8256\"", "target": "8256", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (43, 64), 'multiply', 3)", "intermediate": "2752", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 108 and 160, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4320\"\nresult = \"8640\"", "target": "8640", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (108, 160), 'multiply', 2)", "intermediate": "4320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 88 and 18, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"792\"\nresult = \"7128\"", "target": "7128", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (88, 18), 'multiply', 9)", "intermediate": "792", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 111 and 117, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4329\"\nresult = \"8658\"", "target": "8658", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (111, 117), 'multiply', 2)", "intermediate": "4329", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 156 and 27, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1404\"\nresult = \"2808\"", "target": "2808", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (156, 27), 'multiply', 2)", "intermediate": "1404", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 12 and 49, then apply multiply to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"588\"\nresult = \"7056\"", "target": "7056", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (12, 49), 'multiply', 12)", "intermediate": "588", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 14 and 64, then apply multiply to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"448\"\nresult = \"9856\"", "target": "9856", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (14, 64), 'multiply', 22)", "intermediate": "448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 40, then apply multiply to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"680\"\nresult = \"8160\"", "target": "8160", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (34, 40), 'multiply', 12)", "intermediate": "680", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 44 and 29, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1276\"\nresult = \"7656\"", "target": "7656", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (44, 29), 'multiply', 6)", "intermediate": "1276", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 66 and 92, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3036\"\nresult = \"6072\"", "target": "6072", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (66, 92), 'multiply', 2)", "intermediate": "3036", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 52, then apply multiply to the result and 46.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"208\"\nresult = \"9568\"", "target": "9568", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (16, 52), 'multiply', 46)", "intermediate": "208", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 59 and 24, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1416\"\nresult = \"2832\"", "target": "2832", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (59, 24), 'multiply', 2)", "intermediate": "1416", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 156 and 57, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2964\"\nresult = \"8892\"", "target": "8892", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (156, 57), 'multiply', 3)", "intermediate": "2964", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 40, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2040\"\nresult = \"4080\"", "target": "4080", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (51, 40), 'multiply', 2)", "intermediate": "2040", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 25 and 144, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3600\"\nresult = \"7200\"", "target": "7200", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 144), 'multiply', 2)", "intermediate": "3600", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 84 and 160, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3360\"\nresult = \"6720\"", "target": "6720", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (84, 160), 'multiply', 2)", "intermediate": "3360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 195 and 66, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4290\"\nresult = \"8580\"", "target": "8580", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (195, 66), 'multiply', 2)", "intermediate": "4290", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 53 and 24, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1272\"\nresult = \"2544\"", "target": "2544", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (53, 24), 'multiply', 2)", "intermediate": "1272", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 77 and 50, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3850\"\nresult = \"7700\"", "target": "7700", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (77, 50), 'multiply', 2)", "intermediate": "3850", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 171 and 90, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1710\"\nresult = \"3420\"", "target": "3420", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (171, 90), 'multiply', 2)", "intermediate": "1710", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 38 and 138, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2622\"\nresult = \"7866\"", "target": "7866", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (38, 138), 'multiply', 3)", "intermediate": "2622", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 23 and 192, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4416\"\nresult = \"8832\"", "target": "8832", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (23, 192), 'multiply', 2)", "intermediate": "4416", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 105 and 43, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4515\"\nresult = \"9030\"", "target": "9030", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (105, 43), 'multiply', 2)", "intermediate": "4515", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 190, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3230\"\nresult = \"6460\"", "target": "6460", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (34, 190), 'multiply', 2)", "intermediate": "3230", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 15 and 119, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1785\"\nresult = \"5355\"", "target": "5355", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (15, 119), 'multiply', 3)", "intermediate": "1785", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 74, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3478\"\nresult = \"6956\"", "target": "6956", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (47, 74), 'multiply', 2)", "intermediate": "3478", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 123 and 16, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1968\"\nresult = \"7872\"", "target": "7872", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (123, 16), 'multiply', 4)", "intermediate": "1968", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 104 and 96, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1248\"\nresult = \"9984\"", "target": "9984", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (104, 96), 'multiply', 8)", "intermediate": "1248", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 49, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1911\"\nresult = \"5733\"", "target": "5733", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (39, 49), 'multiply', 3)", "intermediate": "1911", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 26 and 165, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4290\"\nresult = \"8580\"", "target": "8580", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (26, 165), 'multiply', 2)", "intermediate": "4290", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 117 and 153, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1989\"\nresult = \"5967\"", "target": "5967", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (117, 153), 'multiply', 3)", "intermediate": "1989", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 170, then apply multiply to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"510\"\nresult = \"7140\"", "target": "7140", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (51, 170), 'multiply', 14)", "intermediate": "510", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 17 and 113, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1921\"\nresult = \"9605\"", "target": "9605", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (17, 113), 'multiply', 5)", "intermediate": "1921", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 99 and 121, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1089\"\nresult = \"8712\"", "target": "8712", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (99, 121), 'multiply', 8)", "intermediate": "1089", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 85 and 32, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2720\"\nresult = \"5440\"", "target": "5440", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (85, 32), 'multiply', 2)", "intermediate": "2720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 24 and 130, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1560\"\nresult = \"7800\"", "target": "7800", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (24, 130), 'multiply', 5)", "intermediate": "1560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 154 and 23, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3542\"\nresult = \"7084\"", "target": "7084", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (154, 23), 'multiply', 2)", "intermediate": "3542", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 18 and 73, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1314\"\nresult = \"6570\"", "target": "6570", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (18, 73), 'multiply', 5)", "intermediate": "1314", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 23 and 139, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3197\"\nresult = \"9591\"", "target": "9591", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (23, 139), 'multiply', 3)", "intermediate": "3197", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 120 and 22, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1320\"\nresult = \"5280\"", "target": "5280", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (120, 22), 'multiply', 4)", "intermediate": "1320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 60 and 129, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2580\"\nresult = \"7740\"", "target": "7740", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (60, 129), 'multiply', 3)", "intermediate": "2580", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 169 and 52, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"676\"\nresult = \"6084\"", "target": "6084", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (169, 52), 'multiply', 9)", "intermediate": "676", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 122, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3904\"\nresult = \"7808\"", "target": "7808", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (64, 122), 'multiply', 2)", "intermediate": "3904", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 26 and 112, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1456\"\nresult = \"7280\"", "target": "7280", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (26, 112), 'multiply', 5)", "intermediate": "1456", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 60 and 156, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"780\"\nresult = \"6240\"", "target": "6240", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (60, 156), 'multiply', 8)", "intermediate": "780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 21, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1344\"\nresult = \"2688\"", "target": "2688", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (64, 21), 'multiply', 2)", "intermediate": "1344", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 190 and 16, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1520\"\nresult = \"7600\"", "target": "7600", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (190, 16), 'multiply', 5)", "intermediate": "1520", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 141 and 45, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2115\"\nresult = \"6345\"", "target": "6345", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (141, 45), 'multiply', 3)", "intermediate": "2115", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 138, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2346\"\nresult = \"7038\"", "target": "7038", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (34, 138), 'multiply', 3)", "intermediate": "2346", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 126 and 32, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2016\"\nresult = \"8064\"", "target": "8064", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (126, 32), 'multiply', 4)", "intermediate": "2016", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 142 and 15, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2130\"\nresult = \"4260\"", "target": "4260", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (142, 15), 'multiply', 2)", "intermediate": "2130", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 41 and 19, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"779\"\nresult = \"6232\"", "target": "6232", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (41, 19), 'multiply', 8)", "intermediate": "779", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 134 and 21, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2814\"\nresult = \"8442\"", "target": "8442", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (134, 21), 'multiply', 3)", "intermediate": "2814", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 22 and 63, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1386\"\nresult = \"5544\"", "target": "5544", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (22, 63), 'multiply', 4)", "intermediate": "1386", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 146 and 50, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3650\"\nresult = \"7300\"", "target": "7300", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (146, 50), 'multiply', 2)", "intermediate": "3650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 57, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"912\"\nresult = \"2736\"", "target": "2736", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (16, 57), 'multiply', 3)", "intermediate": "912", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 87 and 55, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4785\"\nresult = \"9570\"", "target": "9570", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (87, 55), 'multiply', 2)", "intermediate": "4785", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 138 and 12, then apply multiply to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276\"\nresult = \"4692\"", "target": "4692", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (138, 12), 'multiply', 17)", "intermediate": "276", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 29 and 131, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3799\"\nresult = \"7598\"", "target": "7598", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (29, 131), 'multiply', 2)", "intermediate": "3799", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 164 and 28, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1148\"\nresult = \"5740\"", "target": "5740", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (164, 28), 'multiply', 5)", "intermediate": "1148", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 57 and 61, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3477\"\nresult = \"6954\"", "target": "6954", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (57, 61), 'multiply', 2)", "intermediate": "3477", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 199 and 19, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3781\"\nresult = \"7562\"", "target": "7562", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (199, 19), 'multiply', 2)", "intermediate": "3781", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 48 and 126, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1008\"\nresult = \"4032\"", "target": "4032", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (48, 126), 'multiply', 4)", "intermediate": "1008", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 73, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3431\"\nresult = \"6862\"", "target": "6862", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (47, 73), 'multiply', 2)", "intermediate": "3431", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 140 and 196, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"980\"\nresult = \"7840\"", "target": "7840", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (140, 196), 'multiply', 8)", "intermediate": "980", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 143 and 55, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"715\"\nresult = \"5720\"", "target": "5720", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (143, 55), 'multiply', 8)", "intermediate": "715", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 79 and 17, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1343\"\nresult = \"9401\"", "target": "9401", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (79, 17), 'multiply', 7)", "intermediate": "1343", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 12 and 181, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2172\"\nresult = \"8688\"", "target": "8688", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (12, 181), 'multiply', 4)", "intermediate": "2172", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 44 and 120, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1320\"\nresult = \"5280\"", "target": "5280", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (44, 120), 'multiply', 4)", "intermediate": "1320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 189, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3024\"\nresult = \"9072\"", "target": "9072", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (16, 189), 'multiply', 3)", "intermediate": "3024", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 81 and 37, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2997\"\nresult = \"5994\"", "target": "5994", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (81, 37), 'multiply', 2)", "intermediate": "2997", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 21 and 96, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"672\"\nresult = \"6048\"", "target": "6048", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (21, 96), 'multiply', 9)", "intermediate": "672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 19 and 30, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"570\"\nresult = \"2280\"", "target": "2280", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (19, 30), 'multiply', 4)", "intermediate": "570", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 40 and 105, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"840\"\nresult = \"2520\"", "target": "2520", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (40, 105), 'multiply', 3)", "intermediate": "840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 194 and 12, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1164\"\nresult = \"5820\"", "target": "5820", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (194, 12), 'multiply', 5)", "intermediate": "1164", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 170, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1360\"\nresult = \"5440\"", "target": "5440", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (16, 170), 'multiply', 4)", "intermediate": "1360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 32 and 116, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"928\"\nresult = \"7424\"", "target": "7424", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (32, 116), 'multiply', 8)", "intermediate": "928", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 42, then apply multiply to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"714\"\nresult = \"7854\"", "target": "7854", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (51, 42), 'multiply', 11)", "intermediate": "714", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 31, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1581\"\nresult = \"7905\"", "target": "7905", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (51, 31), 'multiply', 5)", "intermediate": "1581", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 118 and 62, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3658\"\nresult = \"7316\"", "target": "7316", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (118, 62), 'multiply', 2)", "intermediate": "3658", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 61 and 38, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2318\"\nresult = \"9272\"", "target": "9272", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (61, 38), 'multiply', 4)", "intermediate": "2318", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 89 and 23, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2047\"\nresult = \"4094\"", "target": "4094", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (89, 23), 'multiply', 2)", "intermediate": "2047", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 62 and 132, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4092\"\nresult = \"8184\"", "target": "8184", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (62, 132), 'multiply', 2)", "intermediate": "4092", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 186 and 24, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"744\"\nresult = \"5952\"", "target": "5952", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (186, 24), 'multiply', 8)", "intermediate": "744", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 145 and 30, then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"870\"\nresult = \"7830\"", "target": "7830", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (145, 30), 'multiply', 9)", "intermediate": "870", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 168 and 90, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2520\"\nresult = \"5040\"", "target": "5040", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (168, 90), 'multiply', 2)", "intermediate": "2520", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 94 and 14, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"658\"\nresult = \"3948\"", "target": "3948", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (94, 14), 'multiply', 6)", "intermediate": "658", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 132 and 17, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2244\"\nresult = \"8976\"", "target": "8976", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (132, 17), 'multiply', 4)", "intermediate": "2244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 146, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3942\"\nresult = \"7884\"", "target": "7884", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (54, 146), 'multiply', 2)", "intermediate": "3942", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 21 and 86, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1806\"\nresult = \"9030\"", "target": "9030", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (21, 86), 'multiply', 5)", "intermediate": "1806", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 186, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4278\"\nresult = \"8556\"", "target": "8556", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (46, 186), 'multiply', 2)", "intermediate": "4278", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 24 and 106, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1272\"\nresult = \"3816\"", "target": "3816", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (24, 106), 'multiply', 3)", "intermediate": "1272", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 105, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1890\"\nresult = \"9450\"", "target": "9450", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (54, 105), 'multiply', 5)", "intermediate": "1890", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 134 and 64, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4288\"\nresult = \"8576\"", "target": "8576", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (134, 64), 'multiply', 2)", "intermediate": "4288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 36 and 92, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"828\"\nresult = \"3312\"", "target": "3312", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (36, 92), 'multiply', 4)", "intermediate": "828", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 26 and 75, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1950\"\nresult = \"5850\"", "target": "5850", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (26, 75), 'multiply', 3)", "intermediate": "1950", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 85 and 14, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1190\"\nresult = \"2380\"", "target": "2380", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (85, 14), 'multiply', 2)", "intermediate": "1190", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 60 and 78, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"780\"\nresult = \"2340\"", "target": "2340", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (60, 78), 'multiply', 3)", "intermediate": "780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 38, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1786\"\nresult = \"8930\"", "target": "8930", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (47, 38), 'multiply', 5)", "intermediate": "1786", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 28 and 189, then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"756\"\nresult = \"6048\"", "target": "6048", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (28, 189), 'multiply', 8)", "intermediate": "756", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 74 and 38, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1406\"\nresult = \"2812\"", "target": "2812", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (74, 38), 'multiply', 2)", "intermediate": "1406", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 41, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2624\"\nresult = \"7872\"", "target": "7872", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (64, 41), 'multiply', 3)", "intermediate": "2624", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 67 and 55, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3685\"\nresult = \"7370\"", "target": "7370", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (67, 55), 'multiply', 2)", "intermediate": "3685", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 114 and 75, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2850\"\nresult = \"5700\"", "target": "5700", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (114, 75), 'multiply', 2)", "intermediate": "2850", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 93 and 43, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3999\"\nresult = \"7998\"", "target": "7998", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (93, 43), 'multiply', 2)", "intermediate": "3999", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 111 and 114, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4218\"\nresult = \"8436\"", "target": "8436", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (111, 114), 'multiply', 2)", "intermediate": "4218", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 57 and 78, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1482\"\nresult = \"5928\"", "target": "5928", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (57, 78), 'multiply', 4)", "intermediate": "1482", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 29 and 148, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4292\"\nresult = \"8584\"", "target": "8584", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (29, 148), 'multiply', 2)", "intermediate": "4292", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 28 and 102, then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1428\"\nresult = \"9996\"", "target": "9996", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (28, 102), 'multiply', 7)", "intermediate": "1428", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 15 and 172, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2580\"\nresult = \"7740\"", "target": "7740", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (15, 172), 'multiply', 3)", "intermediate": "2580", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 52 and 39, then apply multiply to the result and 43.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"156\"\nresult = \"6708\"", "target": "6708", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (52, 39), 'multiply', 43)", "intermediate": "156", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 140 and 38, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2660\"\nresult = \"5320\"", "target": "5320", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (140, 38), 'multiply', 2)", "intermediate": "2660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 156 and 30, then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"780\"\nresult = \"4680\"", "target": "4680", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (156, 30), 'multiply', 6)", "intermediate": "780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 124 and 13, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1612\"\nresult = \"6448\"", "target": "6448", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (124, 13), 'multiply', 4)", "intermediate": "1612", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 60 and 84, then apply multiply to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"420\"\nresult = \"7140\"", "target": "7140", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (60, 84), 'multiply', 17)", "intermediate": "420", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 82 and 58, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2378\"\nresult = \"7134\"", "target": "7134", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (82, 58), 'multiply', 3)", "intermediate": "2378", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 79 and 58, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4582\"\nresult = \"9164\"", "target": "9164", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (79, 58), 'multiply', 2)", "intermediate": "4582", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 92 and 34, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1564\"\nresult = \"4692\"", "target": "4692", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (92, 34), 'multiply', 3)", "intermediate": "1564", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 78 and 87, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2262\"\nresult = \"9048\"", "target": "9048", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (78, 87), 'multiply', 4)", "intermediate": "2262", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 105 and 19, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1995\"\nresult = \"9975\"", "target": "9975", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (105, 19), 'multiply', 5)", "intermediate": "1995", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 57, then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1938\"\nresult = \"9690\"", "target": "9690", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (34, 57), 'multiply', 5)", "intermediate": "1938", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 130 and 120, then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1560\"\nresult = \"6240\"", "target": "6240", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (130, 120), 'multiply', 4)", "intermediate": "1560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 118 and 37, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4366\"\nresult = \"8732\"", "target": "8732", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (118, 37), 'multiply', 2)", "intermediate": "4366", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 78 and 57, then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1482\"\nresult = \"4446\"", "target": "4446", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (78, 57), 'multiply', 3)", "intermediate": "1482", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 29 and 14, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"406\"\nresult = \"812\"", "target": "812", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (29, 14), 'multiply', 2)", "intermediate": "406", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 118, then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4602\"\nresult = \"9204\"", "target": "9204", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (39, 118), 'multiply', 2)", "intermediate": "4602", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 68 and 14, then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"952\"\nresult = \"4760\"", "target": "4760", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (68, 14), 'lcm', 40)", "intermediate": "952", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 33 and 13, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"429\"\nresult = \"3003\"", "target": "3003", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (33, 13), 'lcm', 21)", "intermediate": "429", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 48, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"816\"\nresult = \"5712\"", "target": "5712", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 48), 'lcm', 7)", "intermediate": "816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 41, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"943\"\nresult = \"7544\"", "target": "7544", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 41), 'lcm', 8)", "intermediate": "943", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 27, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"567\"\nresult = \"2835\"", "target": "2835", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 27), 'lcm', 5)", "intermediate": "567", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 20, then apply lcm to the result and 75.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"640\"\nresult = \"9600\"", "target": "9600", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (32, 20), 'lcm', 75)", "intermediate": "640", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 48 and 12, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"576\"\nresult = \"7488\"", "target": "7488", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (48, 12), 'lcm', 26)", "intermediate": "576", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 44, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"528\"\nresult = \"3696\"", "target": "3696", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 44), 'lcm', 42)", "intermediate": "528", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 43, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"731\"\nresult = \"2193\"", "target": "2193", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 43), 'lcm', 3)", "intermediate": "731", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 83 and 12, then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"996\"\nresult = \"5976\"", "target": "5976", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (83, 12), 'lcm', 72)", "intermediate": "996", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 12, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"204\"\nresult = \"1020\"", "target": "1020", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 12), 'lcm', 10)", "intermediate": "204", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 49 and 19, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"931\"\nresult = \"3724\"", "target": "3724", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (49, 19), 'lcm', 28)", "intermediate": "931", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 56, then apply lcm to the result and 35.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"896\"\nresult = \"4480\"", "target": "4480", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 56), 'lcm', 35)", "intermediate": "896", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 64, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"768\"\nresult = \"5376\"", "target": "5376", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 64), 'lcm', 84)", "intermediate": "768", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 50 and 13, then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"650\"\nresult = \"1950\"", "target": "1950", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (50, 13), 'lcm', 78)", "intermediate": "650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 36, then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"720\"\nresult = \"9360\"", "target": "9360", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 36), 'lcm', 39)", "intermediate": "720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 34, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"510\"\nresult = \"3570\"", "target": "3570", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 34), 'lcm', 14)", "intermediate": "510", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 38 and 14, then apply lcm to the result and 68.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"532\"\nresult = \"9044\"", "target": "9044", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (38, 14), 'lcm', 68)", "intermediate": "532", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 80, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"960\"\nresult = \"6720\"", "target": "6720", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 80), 'lcm', 42)", "intermediate": "960", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 28, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"476\"\nresult = \"4284\"", "target": "4284", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 28), 'lcm', 36)", "intermediate": "476", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 55, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"880\"\nresult = \"6160\"", "target": "6160", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 55), 'lcm', 14)", "intermediate": "880", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 30, then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"420\"\nresult = \"5460\"", "target": "5460", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 30), 'lcm', 78)", "intermediate": "420", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 12, then apply lcm to the result and 94.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"180\"\nresult = \"8460\"", "target": "8460", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 12), 'lcm', 94)", "intermediate": "180", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 73 and 13, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"949\"\nresult = \"3796\"", "target": "3796", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (73, 13), 'lcm', 4)", "intermediate": "949", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 41, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"738\"\nresult = \"8118\"", "target": "8118", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 41), 'lcm', 11)", "intermediate": "738", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"1320\"", "target": "1320", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 33), 'lcm', 8)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 19, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"608\"\nresult = \"1824\"", "target": "1824", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (32, 19), 'lcm', 6)", "intermediate": "608", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 22, then apply lcm to the result and 69.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"330\"\nresult = \"7590\"", "target": "7590", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 22), 'lcm', 69)", "intermediate": "330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 72, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"864\"\nresult = \"9504\"", "target": "9504", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 72), 'lcm', 11)", "intermediate": "864", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"3960\"", "target": "3960", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 33), 'lcm', 72)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 21, then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"336\"\nresult = \"5040\"", "target": "5040", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 21), 'lcm', 45)", "intermediate": "336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 43, then apply lcm to the result and 86.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"817\"\nresult = \"1634\"", "target": "1634", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 43), 'lcm', 86)", "intermediate": "817", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 34 and 24, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"816\"\nresult = \"5712\"", "target": "5712", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (34, 24), 'lcm', 14)", "intermediate": "816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 45 and 16, then apply lcm to the result and 44.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"720\"\nresult = \"7920\"", "target": "7920", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (45, 16), 'lcm', 44)", "intermediate": "720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 23, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"575\"\nresult = \"1150\"", "target": "1150", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 23), 'lcm', 2)", "intermediate": "575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 25, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"600\"\nresult = \"4200\"", "target": "4200", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (24, 25), 'lcm', 14)", "intermediate": "600", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 30 and 18, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"540\"\nresult = \"5940\"", "target": "5940", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (30, 18), 'lcm', 11)", "intermediate": "540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 40 and 23, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"920\"\nresult = \"6440\"", "target": "6440", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (40, 23), 'lcm', 7)", "intermediate": "920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 40 and 15, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"600\"\nresult = \"1800\"", "target": "1800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (40, 15), 'lcm', 18)", "intermediate": "600", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 58, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"812\"\nresult = \"2436\"", "target": "2436", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 58), 'lcm', 84)", "intermediate": "812", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 60 and 14, then apply lcm to the result and 49.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"840\"\nresult = \"5880\"", "target": "5880", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (60, 14), 'lcm', 49)", "intermediate": "840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 38 and 21, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"798\"\nresult = \"2394\"", "target": "2394", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (38, 21), 'lcm', 9)", "intermediate": "798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 66 and 14, then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"924\"\nresult = \"5544\"", "target": "5544", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (66, 14), 'lcm', 72)", "intermediate": "924", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 58, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"986\"\nresult = \"2958\"", "target": "2958", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 58), 'lcm', 6)", "intermediate": "986", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 27 and 34, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"918\"\nresult = \"4590\"", "target": "4590", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (27, 34), 'lcm', 15)", "intermediate": "918", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 22, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"330\"\nresult = \"4620\"", "target": "4620", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 22), 'lcm', 28)", "intermediate": "330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 39 and 14, then apply lcm to the result and 34.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546\"\nresult = \"9282\"", "target": "9282", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (39, 14), 'lcm', 34)", "intermediate": "546", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 39 and 24, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936\"\nresult = \"6552\"", "target": "6552", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (39, 24), 'lcm', 14)", "intermediate": "936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 68 and 13, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"884\"\nresult = \"2652\"", "target": "2652", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (68, 13), 'lcm', 12)", "intermediate": "884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 25, then apply lcm to the result and 70.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"800\"\nresult = \"5600\"", "target": "5600", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (32, 25), 'lcm', 70)", "intermediate": "800", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 17, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"884\"\nresult = \"7072\"", "target": "7072", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (52, 17), 'lcm', 32)", "intermediate": "884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 31, then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"620\"\nresult = \"5580\"", "target": "5580", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 31), 'lcm', 45)", "intermediate": "620", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 32, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"928\"\nresult = \"4640\"", "target": "4640", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 32), 'lcm', 80)", "intermediate": "928", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 21, then apply lcm to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"315\"\nresult = \"9765\"", "target": "9765", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 21), 'lcm', 31)", "intermediate": "315", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 70, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"910\"\nresult = \"1820\"", "target": "1820", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (13, 70), 'lcm', 28)", "intermediate": "910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 35, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"700\"\nresult = \"2800\"", "target": "2800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 35), 'lcm', 80)", "intermediate": "700", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 15, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"360\"\nresult = \"2520\"", "target": "2520", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (24, 15), 'lcm', 21)", "intermediate": "360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 47, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"893\"\nresult = \"8037\"", "target": "8037", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 47), 'lcm', 9)", "intermediate": "893", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 54 and 14, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"756\"\nresult = \"3780\"", "target": "3780", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (54, 14), 'lcm', 30)", "intermediate": "756", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 27 and 17, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"459\"\nresult = \"5967\"", "target": "5967", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (27, 17), 'lcm', 13)", "intermediate": "459", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 19, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"437\"\nresult = \"2185\"", "target": "2185", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 19), 'lcm', 5)", "intermediate": "437", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 69, then apply lcm to the result and 91.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"897\"\nresult = \"6279\"", "target": "6279", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (13, 69), 'lcm', 91)", "intermediate": "897", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 35 and 17, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"595\"\nresult = \"1785\"", "target": "1785", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (35, 17), 'lcm', 21)", "intermediate": "595", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 19, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"361\"\nresult = \"7220\"", "target": "7220", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 19), 'lcm', 20)", "intermediate": "361", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 28, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"420\"\nresult = \"1260\"", "target": "1260", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 28), 'lcm', 36)", "intermediate": "420", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 30, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"600\"\nresult = \"1800\"", "target": "1800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 30), 'lcm', 9)", "intermediate": "600", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 38, then apply lcm to the result and 76.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"722\"\nresult = \"1444\"", "target": "1444", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 38), 'lcm', 76)", "intermediate": "722", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 18, then apply lcm to the result and 16.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"270\"\nresult = \"2160\"", "target": "2160", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 18), 'lcm', 16)", "intermediate": "270", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 26 and 36, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936\"\nresult = \"6552\"", "target": "6552", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (26, 36), 'lcm', 28)", "intermediate": "936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 56 and 12, then apply lcm to the result and 64.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"672\"\nresult = \"1344\"", "target": "1344", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (56, 12), 'lcm', 64)", "intermediate": "672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 13, then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"286\"\nresult = \"4862\"", "target": "4862", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 13), 'lcm', 17)", "intermediate": "286", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 43, then apply lcm to the result and 33.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"946\"\nresult = \"2838\"", "target": "2838", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 43), 'lcm', 33)", "intermediate": "946", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 62 and 12, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"744\"\nresult = \"5208\"", "target": "5208", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (62, 12), 'lcm', 21)", "intermediate": "744", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 49 and 18, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"882\"\nresult = \"1764\"", "target": "1764", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (49, 18), 'lcm', 4)", "intermediate": "882", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 49 and 13, then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"637\"\nresult = \"7007\"", "target": "7007", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (49, 13), 'lcm', 77)", "intermediate": "637", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 51 and 17, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867\"\nresult = \"9537\"", "target": "9537", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (51, 17), 'lcm', 11)", "intermediate": "867", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 63 and 14, then apply lcm to the result and 35.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"882\"\nresult = \"4410\"", "target": "4410", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (63, 14), 'lcm', 35)", "intermediate": "882", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 30, then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"600\"\nresult = \"7800\"", "target": "7800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 30), 'lcm', 39)", "intermediate": "600", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 20, then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"500\"\nresult = \"1000\"", "target": "1000", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 20), 'lcm', 40)", "intermediate": "500", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 30 and 33, then apply lcm to the result and 70.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"990\"\nresult = \"6930\"", "target": "6930", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (30, 33), 'lcm', 70)", "intermediate": "990", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 69 and 14, then apply lcm to the result and 16.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"966\"\nresult = \"7728\"", "target": "7728", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (69, 14), 'lcm', 16)", "intermediate": "966", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 27 and 14, then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"378\"\nresult = \"1512\"", "target": "1512", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (27, 14), 'lcm', 56)", "intermediate": "378", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 72 and 12, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"864\"\nresult = \"4320\"", "target": "4320", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (72, 12), 'lcm', 5)", "intermediate": "864", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 30, then apply lcm to the result and 90.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"870\"\nresult = \"2610\"", "target": "2610", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 30), 'lcm', 90)", "intermediate": "870", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 46, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"966\"\nresult = \"4830\"", "target": "4830", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 46), 'lcm', 15)", "intermediate": "966", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 26 and 33, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"858\"\nresult = \"1716\"", "target": "1716", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (26, 33), 'lcm', 12)", "intermediate": "858", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 23, then apply lcm to the result and 90.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"345\"\nresult = \"2070\"", "target": "2070", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 23), 'lcm', 90)", "intermediate": "345", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 49, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"637\"\nresult = \"1274\"", "target": "1274", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (13, 49), 'lcm', 26)", "intermediate": "637", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 17, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"391\"\nresult = \"782\"", "target": "782", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 17), 'lcm', 2)", "intermediate": "391", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 19, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"988\"\nresult = \"6916\"", "target": "6916", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (52, 19), 'lcm', 28)", "intermediate": "988", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 21, then apply lcm to the result and 99.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"441\"\nresult = \"4851\"", "target": "4851", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 21), 'lcm', 99)", "intermediate": "441", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 42 and 23, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"966\"\nresult = \"9660\"", "target": "9660", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (42, 23), 'lcm', 20)", "intermediate": "966", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 18, then apply lcm to the result and 76.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"324\"\nresult = \"6156\"", "target": "6156", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 18), 'lcm', 76)", "intermediate": "324", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 14, then apply lcm to the result and 63.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"448\"\nresult = \"4032\"", "target": "4032", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (32, 14), 'lcm', 63)", "intermediate": "448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 64, then apply lcm to the result and 54.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"960\"\nresult = \"8640\"", "target": "8640", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 64), 'lcm', 54)", "intermediate": "960", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 36 and 24, then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"864\"\nresult = \"4320\"", "target": "4320", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (36, 24), 'lcm', 40)", "intermediate": "864", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 39 and 14, then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546\"\nresult = \"8190\"", "target": "8190", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (39, 14), 'lcm', 45)", "intermediate": "546", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 20, then apply lcm to the result and 63.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"360\"\nresult = \"2520\"", "target": "2520", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 20), 'lcm', 63)", "intermediate": "360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 32 and 17, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"544\"\nresult = \"7072\"", "target": "7072", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (32, 17), 'lcm', 13)", "intermediate": "544", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 42 and 22, then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"924\"\nresult = \"3696\"", "target": "3696", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (42, 22), 'lcm', 48)", "intermediate": "924", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 13, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"377\"\nresult = \"754\"", "target": "754", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 13), 'lcm', 26)", "intermediate": "377", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 42, then apply lcm to the result and 90.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"882\"\nresult = \"4410\"", "target": "4410", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 42), 'lcm', 90)", "intermediate": "882", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 25, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"450\"\nresult = \"7200\"", "target": "7200", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 25), 'lcm', 32)", "intermediate": "450", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 55 and 12, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"4620\"", "target": "4620", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (55, 12), 'lcm', 21)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 50, then apply lcm to the result and 65.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"750\"\nresult = \"9750\"", "target": "9750", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 50), 'lcm', 65)", "intermediate": "750", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 32, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"928\"\nresult = \"2784\"", "target": "2784", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 32), 'lcm', 3)", "intermediate": "928", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 35, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"595\"\nresult = \"1190\"", "target": "1190", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 35), 'lcm', 10)", "intermediate": "595", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 17, then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"357\"\nresult = \"3927\"", "target": "3927", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 17), 'lcm', 77)", "intermediate": "357", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 32, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"704\"\nresult = \"2112\"", "target": "2112", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 32), 'lcm', 66)", "intermediate": "704", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 17, then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"204\"\nresult = \"1020\"", "target": "1020", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 17), 'lcm', 60)", "intermediate": "204", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 44 and 16, then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"704\"\nresult = \"4928\"", "target": "4928", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (44, 16), 'lcm', 56)", "intermediate": "704", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 41 and 22, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"902\"\nresult = \"9020\"", "target": "9020", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (41, 22), 'lcm', 20)", "intermediate": "902", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 15, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375\"\nresult = \"6000\"", "target": "6000", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 15), 'lcm', 80)", "intermediate": "375", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 53, then apply lcm to the result and 75.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"795\"\nresult = \"3975\"", "target": "3975", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 53), 'lcm', 75)", "intermediate": "795", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 35, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"560\"\nresult = \"5040\"", "target": "5040", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 35), 'lcm', 9)", "intermediate": "560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"4620\"", "target": "4620", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 33), 'lcm', 84)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 41, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"615\"\nresult = \"1230\"", "target": "1230", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 41), 'lcm', 30)", "intermediate": "615", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 81 and 12, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"972\"\nresult = \"4860\"", "target": "4860", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (81, 12), 'lcm', 30)", "intermediate": "972", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 31, then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"682\"\nresult = \"8184\"", "target": "8184", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 31), 'lcm', 24)", "intermediate": "682", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 45 and 17, then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"765\"\nresult = \"7650\"", "target": "7650", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (45, 17), 'lcm', 50)", "intermediate": "765", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 57 and 16, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"912\"\nresult = \"2736\"", "target": "2736", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (57, 16), 'lcm', 9)", "intermediate": "912", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 30, then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"630\"\nresult = \"2520\"", "target": "2520", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 30), 'lcm', 72)", "intermediate": "630", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 56, then apply lcm to the result and 49.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"672\"\nresult = \"4704\"", "target": "4704", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 56), 'lcm', 49)", "intermediate": "672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 63 and 14, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"882\"\nresult = \"1764\"", "target": "1764", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (63, 14), 'lcm', 28)", "intermediate": "882", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 56, then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"784\"\nresult = \"8624\"", "target": "8624", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 56), 'lcm', 88)", "intermediate": "784", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 59 and 14, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"826\"\nresult = \"4956\"", "target": "4956", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (59, 14), 'lcm', 84)", "intermediate": "826", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 12, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"348\"\nresult = \"2436\"", "target": "2436", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 12), 'lcm', 84)", "intermediate": "348", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 41, then apply lcm to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"779\"\nresult = \"1558\"", "target": "1558", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 41), 'lcm', 38)", "intermediate": "779", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 24, then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"288\"\nresult = \"1440\"", "target": "1440", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 24), 'lcm', 60)", "intermediate": "288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 14, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"266\"\nresult = \"1330\"", "target": "1330", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 14), 'lcm', 5)", "intermediate": "266", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 53 and 12, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"636\"\nresult = \"3180\"", "target": "3180", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (53, 12), 'lcm', 5)", "intermediate": "636", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 34, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"408\"\nresult = \"2040\"", "target": "2040", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 34), 'lcm', 5)", "intermediate": "408", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 38, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"456\"\nresult = \"1368\"", "target": "1368", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 38), 'lcm', 36)", "intermediate": "456", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 29 and 31, then apply lcm to the result and 87.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"899\"\nresult = \"2697\"", "target": "2697", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (29, 31), 'lcm', 87)", "intermediate": "899", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 15, then apply lcm to the result and 87.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"330\"\nresult = \"9570\"", "target": "9570", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 15), 'lcm', 87)", "intermediate": "330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 69, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"966\"\nresult = \"3864\"", "target": "3864", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 69), 'lcm', 8)", "intermediate": "966", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 36, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"828\"\nresult = \"5796\"", "target": "5796", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 36), 'lcm', 7)", "intermediate": "828", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 33 and 30, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"990\"\nresult = \"7920\"", "target": "7920", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (33, 30), 'lcm', 80)", "intermediate": "990", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 28, then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"644\"\nresult = \"1288\"", "target": "1288", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 28), 'lcm', 56)", "intermediate": "644", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 47 and 12, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"564\"\nresult = \"6204\"", "target": "6204", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (47, 12), 'lcm', 22)", "intermediate": "564", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 67 and 14, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"938\"\nresult = \"4690\"", "target": "4690", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (67, 14), 'lcm', 5)", "intermediate": "938", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 38 and 26, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"988\"\nresult = \"4940\"", "target": "4940", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (38, 26), 'lcm', 5)", "intermediate": "988", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 75, then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"900\"\nresult = \"1800\"", "target": "1800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 75), 'lcm', 40)", "intermediate": "900", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 81, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"972\"\nresult = \"6804\"", "target": "6804", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 81), 'lcm', 84)", "intermediate": "972", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 65 and 12, then apply lcm to the result and 75.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"780\"\nresult = \"3900\"", "target": "3900", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (65, 12), 'lcm', 75)", "intermediate": "780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 32, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"448\"\nresult = \"4928\"", "target": "4928", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 32), 'lcm', 11)", "intermediate": "448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 48, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"672\"\nresult = \"2016\"", "target": "2016", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 48), 'lcm', 9)", "intermediate": "672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 44, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"836\"\nresult = \"7524\"", "target": "7524", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 44), 'lcm', 36)", "intermediate": "836", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 53, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"901\"\nresult = \"6307\"", "target": "6307", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 53), 'lcm', 7)", "intermediate": "901", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 19, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"266\"\nresult = \"3990\"", "target": "3990", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 19), 'lcm', 30)", "intermediate": "266", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 20, then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"420\"\nresult = \"9240\"", "target": "9240", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 20), 'lcm', 88)", "intermediate": "420", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 37, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"481\"\nresult = \"8658\"", "target": "8658", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (13, 37), 'lcm', 18)", "intermediate": "481", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 26 and 23, then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"598\"\nresult = \"1794\"", "target": "1794", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (26, 23), 'lcm', 39)", "intermediate": "598", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 35, then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"560\"\nresult = \"6160\"", "target": "6160", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 35), 'lcm', 77)", "intermediate": "560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 31 and 24, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"744\"\nresult = \"9672\"", "target": "9672", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (31, 24), 'lcm', 26)", "intermediate": "744", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 21 and 12, then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"252\"\nresult = \"1008\"", "target": "1008", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (21, 12), 'lcm', 48)", "intermediate": "252", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 28, then apply lcm to the result and 63.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"336\"\nresult = \"1008\"", "target": "1008", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 28), 'lcm', 63)", "intermediate": "336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 27 and 31, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837\"\nresult = \"3348\"", "target": "3348", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (27, 31), 'lcm', 36)", "intermediate": "837", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 24, then apply lcm to the result and 57.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"432\"\nresult = \"8208\"", "target": "8208", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 24), 'lcm', 57)", "intermediate": "432", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 18 and 27, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486\"\nresult = \"6318\"", "target": "6318", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (18, 27), 'lcm', 13)", "intermediate": "486", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 15, then apply lcm to the result and 54.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375\"\nresult = \"6750\"", "target": "6750", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 15), 'lcm', 54)", "intermediate": "375", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 18, then apply lcm to the result and 46.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"270\"\nresult = \"6210\"", "target": "6210", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 18), 'lcm', 46)", "intermediate": "270", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 30, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"8580\"", "target": "8580", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 30), 'lcm', 26)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 28 and 16, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"448\"\nresult = \"1344\"", "target": "1344", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (28, 16), 'lcm', 84)", "intermediate": "448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 16, then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192\"\nresult = \"4800\"", "target": "4800", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 16), 'lcm', 25)", "intermediate": "192", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 43 and 19, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"817\"\nresult = \"8170\"", "target": "8170", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (43, 19), 'lcm', 10)", "intermediate": "817", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 13, then apply lcm to the result and 90.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"195\"\nresult = \"1170\"", "target": "1170", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 13), 'lcm', 90)", "intermediate": "195", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 42, then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"630\"\nresult = \"2520\"", "target": "2520", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 42), 'lcm', 40)", "intermediate": "630", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 30, then apply lcm to the result and 57.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"450\"\nresult = \"8550\"", "target": "8550", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 30), 'lcm', 57)", "intermediate": "450", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 26, then apply lcm to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"442\"\nresult = \"8398\"", "target": "8398", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 26), 'lcm', 38)", "intermediate": "442", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 16 and 12, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192\"\nresult = \"2112\"", "target": "2112", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (16, 12), 'lcm', 66)", "intermediate": "192", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 23, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276\"\nresult = \"2484\"", "target": "2484", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 23), 'lcm', 27)", "intermediate": "276", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 47, then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"940\"\nresult = \"4700\"", "target": "4700", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 47), 'lcm', 25)", "intermediate": "940", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 52 and 17, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"884\"\nresult = \"7956\"", "target": "7956", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (52, 17), 'lcm', 18)", "intermediate": "884", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 28, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"392\"\nresult = \"1960\"", "target": "1960", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 28), 'lcm', 10)", "intermediate": "392", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 23 and 34, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"782\"\nresult = \"7820\"", "target": "7820", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (23, 34), 'lcm', 20)", "intermediate": "782", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 47 and 20, then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"940\"\nresult = \"4700\"", "target": "4700", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (47, 20), 'lcm', 50)", "intermediate": "940", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 24 and 41, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"984\"\nresult = \"9840\"", "target": "9840", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (24, 41), 'lcm', 80)", "intermediate": "984", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 38 and 21, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"798\"\nresult = \"7980\"", "target": "7980", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (38, 21), 'lcm', 20)", "intermediate": "798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 68 and 12, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"816\"\nresult = \"8976\"", "target": "8976", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (68, 12), 'lcm', 66)", "intermediate": "816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 47, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"940\"\nresult = \"2820\"", "target": "2820", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 47), 'lcm', 15)", "intermediate": "940", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 45, then apply lcm to the result and 81.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"855\"\nresult = \"7695\"", "target": "7695", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 45), 'lcm', 81)", "intermediate": "855", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 16, then apply lcm to the result and 76.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"400\"\nresult = \"7600\"", "target": "7600", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 16), 'lcm', 76)", "intermediate": "400", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 17 and 47, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"799\"\nresult = \"1598\"", "target": "1598", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (17, 47), 'lcm', 2)", "intermediate": "799", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 15 and 49, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"735\"\nresult = \"6615\"", "target": "6615", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (15, 49), 'lcm', 27)", "intermediate": "735", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 30 and 27, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"810\"\nresult = \"1620\"", "target": "1620", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (30, 27), 'lcm', 20)", "intermediate": "810", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 56 and 15, then apply lcm to the result and 44.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"840\"\nresult = \"9240\"", "target": "9240", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (56, 15), 'lcm', 44)", "intermediate": "840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 14 and 39, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546\"\nresult = \"6006\"", "target": "6006", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (14, 39), 'lcm', 22)", "intermediate": "546", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 41 and 18, then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"738\"\nresult = \"2952\"", "target": "2952", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (41, 18), 'lcm', 24)", "intermediate": "738", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 43 and 12, then apply lcm to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"516\"\nresult = \"9804\"", "target": "9804", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (43, 12), 'lcm', 38)", "intermediate": "516", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 20 and 26, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"520\"\nresult = \"1560\"", "target": "1560", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (20, 26), 'lcm', 12)", "intermediate": "520", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 43 and 20, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"860\"\nresult = \"6020\"", "target": "6020", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (43, 20), 'lcm', 28)", "intermediate": "860", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 57 and 17, then apply lcm to the result and 85.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"969\"\nresult = \"4845\"", "target": "4845", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (57, 17), 'lcm', 85)", "intermediate": "969", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 13 and 19, then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"247\"\nresult = \"6175\"", "target": "6175", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (13, 19), 'lcm', 25)", "intermediate": "247", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 22 and 41, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"902\"\nresult = \"4510\"", "target": "4510", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (22, 41), 'lcm', 5)", "intermediate": "902", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 54 and 12, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"648\"\nresult = \"4536\"", "target": "4536", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (54, 12), 'lcm', 84)", "intermediate": "648", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 25 and 16, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"400\"\nresult = \"5200\"", "target": "5200", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (25, 16), 'lcm', 13)", "intermediate": "400", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 12 and 22, then apply lcm to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264\"\nresult = \"5016\"", "target": "5016", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (12, 22), 'lcm', 38)", "intermediate": "264", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 19 and 18, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"342\"\nresult = \"1710\"", "target": "1710", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (19, 18), 'lcm', 5)", "intermediate": "342", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply multiply to 37 and 18, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"666\"\nresult = \"4662\"", "target": "4662", "fn_f": "lcm", "fn_g": "multiply", "fn_chain": "lcm|multiply", "input_str": "('mm', 'multiply', (37, 18), 'lcm', 14)", "intermediate": "666", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 185 and 23, then apply gcf to the result and 3910.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4255\"\nresult = \"115\"", "target": "115", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (185, 23), 'gcf', 3910)", "intermediate": "4255", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 63 and 112, then apply gcf to the result and 1152.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1008\"\nresult = \"144\"", "target": "144", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (63, 112), 'gcf', 1152)", "intermediate": "1008", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 95, then apply gcf to the result and 4446.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3705\"\nresult = \"741\"", "target": "741", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (39, 95), 'gcf', 4446)", "intermediate": "3705", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 63 and 41, then apply gcf to the result and 6888.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2583\"\nresult = \"861\"", "target": "861", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (63, 41), 'gcf', 6888)", "intermediate": "2583", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 118 and 16, then apply gcf to the result and 12744.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"944\"\nresult = \"472\"", "target": "472", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (118, 16), 'gcf', 12744)", "intermediate": "944", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 58 and 12, then apply gcf to the result and 812.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"348\"\nresult = \"116\"", "target": "116", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (58, 12), 'gcf', 812)", "intermediate": "348", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 18 and 131, then apply gcf to the result and 12183.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2358\"\nresult = \"393\"", "target": "393", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (18, 131), 'gcf', 12183)", "intermediate": "2358", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 90 and 185, then apply gcf to the result and 34410.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3330\"\nresult = \"1110\"", "target": "1110", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (90, 185), 'gcf', 34410)", "intermediate": "3330", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 180 and 16, then apply gcf to the result and 864.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"720\"\nresult = \"144\"", "target": "144", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (180, 16), 'gcf', 864)", "intermediate": "720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 55 and 122, then apply gcf to the result and 97295.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6710\"\nresult = \"3355\"", "target": "3355", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (55, 122), 'gcf', 97295)", "intermediate": "6710", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 14, then apply gcf to the result and 13923.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"714\"\nresult = \"357\"", "target": "357", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 14), 'gcf', 13923)", "intermediate": "714", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 103 and 76, then apply gcf to the result and 9785.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7828\"\nresult = \"1957\"", "target": "1957", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (103, 76), 'gcf', 9785)", "intermediate": "7828", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 18 and 83, then apply gcf to the result and 8715.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1494\"\nresult = \"249\"", "target": "249", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (18, 83), 'gcf', 8715)", "intermediate": "1494", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 94, then apply gcf to the result and 39997.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2162\"\nresult = \"1081\"", "target": "1081", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (46, 94), 'gcf', 39997)", "intermediate": "2162", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 90 and 176, then apply gcf to the result and 18216.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7920\"\nresult = \"792\"", "target": "792", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (90, 176), 'gcf', 18216)", "intermediate": "7920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 196 and 36, then apply gcf to the result and 7308.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1764\"\nresult = \"252\"", "target": "252", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (196, 36), 'gcf', 7308)", "intermediate": "1764", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 69, then apply gcf to the result and 3264.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2346\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (34, 69), 'gcf', 3264)", "intermediate": "2346", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 47 and 168, then apply gcf to the result and 6956.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7896\"\nresult = \"188\"", "target": "188", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (47, 168), 'gcf', 6956)", "intermediate": "7896", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 154 and 126, then apply gcf to the result and 22869.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1386\"\nresult = \"693\"", "target": "693", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (154, 126), 'gcf', 22869)", "intermediate": "1386", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 24 and 146, then apply gcf to the result and 16206.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1752\"\nresult = \"438\"", "target": "438", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (24, 146), 'gcf', 16206)", "intermediate": "1752", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 74 and 38, then apply gcf to the result and 18981.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1406\"\nresult = \"703\"", "target": "703", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (74, 38), 'gcf', 18981)", "intermediate": "1406", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 188, then apply gcf to the result and 11891.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4324\"\nresult = \"1081\"", "target": "1081", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (46, 188), 'gcf', 11891)", "intermediate": "4324", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 83 and 114, then apply gcf to the result and 11039.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9462\"\nresult = \"1577\"", "target": "1577", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (83, 114), 'gcf', 11039)", "intermediate": "9462", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 81 and 75, then apply gcf to the result and 4185.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2025\"\nresult = \"135\"", "target": "135", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (81, 75), 'gcf', 4185)", "intermediate": "2025", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 120 and 17, then apply gcf to the result and 5780.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2040\"\nresult = \"340\"", "target": "340", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (120, 17), 'gcf', 5780)", "intermediate": "2040", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 91 and 58, then apply gcf to the result and 13195.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5278\"\nresult = \"2639\"", "target": "2639", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (91, 58), 'gcf', 13195)", "intermediate": "5278", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 182 and 34, then apply gcf to the result and 7854.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3094\"\nresult = \"238\"", "target": "238", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (182, 34), 'gcf', 7854)", "intermediate": "3094", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 42 and 167, then apply gcf to the result and 36239.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7014\"\nresult = \"1169\"", "target": "1169", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (42, 167), 'gcf', 36239)", "intermediate": "7014", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 150, then apply gcf to the result and 18525.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1950\"\nresult = \"975\"", "target": "975", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (39, 150), 'gcf', 18525)", "intermediate": "1950", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 92 and 16, then apply gcf to the result and 2760.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"368\"\nresult = \"184\"", "target": "184", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (92, 16), 'gcf', 2760)", "intermediate": "368", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 196 and 136, then apply gcf to the result and 17136.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6664\"\nresult = \"952\"", "target": "952", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (196, 136), 'gcf', 17136)", "intermediate": "6664", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 38 and 54, then apply gcf to the result and 7695.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1026\"\nresult = \"513\"", "target": "513", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (38, 54), 'gcf', 7695)", "intermediate": "1026", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 149 and 30, then apply gcf to the result and 6556.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4470\"\nresult = \"298\"", "target": "298", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (149, 30), 'gcf', 6556)", "intermediate": "4470", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 190 and 120, then apply gcf to the result and 17784.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2280\"\nresult = \"456\"", "target": "456", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (190, 120), 'gcf', 17784)", "intermediate": "2280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 183 and 156, then apply gcf to the result and 2074.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9516\"\nresult = \"122\"", "target": "122", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (183, 156), 'gcf', 2074)", "intermediate": "9516", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 36 and 32, then apply gcf to the result and 1584.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"288\"\nresult = \"144\"", "target": "144", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (36, 32), 'gcf', 1584)", "intermediate": "288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 22 and 49, then apply gcf to the result and 12397.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1078\"\nresult = \"539\"", "target": "539", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (22, 49), 'gcf', 12397)", "intermediate": "1078", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 136 and 124, then apply gcf to the result and 5208.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4216\"\nresult = \"248\"", "target": "248", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (136, 124), 'gcf', 5208)", "intermediate": "4216", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 175, then apply gcf to the result and 16875.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4725\"\nresult = \"675\"", "target": "675", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (135, 175), 'gcf', 16875)", "intermediate": "4725", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 62, then apply gcf to the result and 3570.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3162\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 62), 'gcf', 3570)", "intermediate": "3162", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 108 and 138, then apply gcf to the result and 15732.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2484\"\nresult = \"828\"", "target": "828", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (108, 138), 'gcf', 15732)", "intermediate": "2484", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 178 and 33, then apply gcf to the result and 102795.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5874\"\nresult = \"2937\"", "target": "2937", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (178, 33), 'gcf', 102795)", "intermediate": "5874", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 92 and 57, then apply gcf to the result and 102258.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5244\"\nresult = \"2622\"", "target": "2622", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (92, 57), 'gcf', 102258)", "intermediate": "5244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 65 and 92, then apply gcf to the result and 8510.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5980\"\nresult = \"230\"", "target": "230", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (65, 92), 'gcf', 8510)", "intermediate": "5980", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 41 and 125, then apply gcf to the result and 3895.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5125\"\nresult = \"205\"", "target": "205", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (41, 125), 'gcf', 3895)", "intermediate": "5125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 102 and 77, then apply gcf to the result and 52360.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7854\"\nresult = \"2618\"", "target": "2618", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (102, 77), 'gcf', 52360)", "intermediate": "7854", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 124 and 58, then apply gcf to the result and 2668.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3596\"\nresult = \"116\"", "target": "116", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (124, 58), 'gcf', 2668)", "intermediate": "3596", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 26 and 144, then apply gcf to the result and 8320.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1872\"\nresult = \"208\"", "target": "208", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (26, 144), 'gcf', 8320)", "intermediate": "1872", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 50 and 37, then apply gcf to the result and 9990.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1850\"\nresult = \"370\"", "target": "370", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (50, 37), 'gcf', 9990)", "intermediate": "1850", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 40, then apply gcf to the result and 2376.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1080\"\nresult = \"216\"", "target": "216", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (54, 40), 'gcf', 2376)", "intermediate": "1080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 88 and 98, then apply gcf to the result and 784.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4312\"\nresult = \"392\"", "target": "392", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (88, 98), 'gcf', 784)", "intermediate": "4312", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 149 and 40, then apply gcf to the result and 104300.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5960\"\nresult = \"2980\"", "target": "2980", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (149, 40), 'gcf', 104300)", "intermediate": "5960", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 23 and 147, then apply gcf to the result and 17871.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3381\"\nresult = \"483\"", "target": "483", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (23, 147), 'gcf', 17871)", "intermediate": "3381", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 92, then apply gcf to the result and 28704.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1472\"\nresult = \"736\"", "target": "736", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (64, 92), 'gcf', 28704)", "intermediate": "1472", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 100 and 57, then apply gcf to the result and 7296.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5700\"\nresult = \"228\"", "target": "228", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (100, 57), 'gcf', 7296)", "intermediate": "5700", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 69 and 126, then apply gcf to the result and 12075.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2898\"\nresult = \"483\"", "target": "483", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (69, 126), 'gcf', 12075)", "intermediate": "2898", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 88 and 59, then apply gcf to the result and 9912.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5192\"\nresult = \"472\"", "target": "472", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (88, 59), 'gcf', 9912)", "intermediate": "5192", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 43 and 70, then apply gcf to the result and 52675.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3010\"\nresult = \"1505\"", "target": "1505", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (43, 70), 'gcf', 52675)", "intermediate": "3010", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 43 and 168, then apply gcf to the result and 2236.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7224\"\nresult = \"172\"", "target": "172", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (43, 168), 'gcf', 2236)", "intermediate": "7224", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 180, then apply gcf to the result and 7140.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3060\"\nresult = \"1020\"", "target": "1020", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (34, 180), 'gcf', 7140)", "intermediate": "3060", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 192 and 18, then apply gcf to the result and 2736.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"576\"\nresult = \"144\"", "target": "144", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (192, 18), 'gcf', 2736)", "intermediate": "576", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 107 and 39, then apply gcf to the result and 13910.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4173\"\nresult = \"1391\"", "target": "1391", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (107, 39), 'gcf', 13910)", "intermediate": "4173", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 34 and 76, then apply gcf to the result and 13566.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1292\"\nresult = \"646\"", "target": "646", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (34, 76), 'gcf', 13566)", "intermediate": "1292", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 40 and 155, then apply gcf to the result and 11470.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1240\"\nresult = \"310\"", "target": "310", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (40, 155), 'gcf', 11470)", "intermediate": "1240", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 13, then apply gcf to the result and 8190.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1755\"\nresult = \"585\"", "target": "585", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (135, 13), 'gcf', 8190)", "intermediate": "1755", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 150, then apply gcf to the result and 5600.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4800\"\nresult = \"800\"", "target": "800", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (64, 150), 'gcf', 5600)", "intermediate": "4800", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 48 and 163, then apply gcf to the result and 52812.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7824\"\nresult = \"1956\"", "target": "1956", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (48, 163), 'gcf', 52812)", "intermediate": "7824", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 106 and 71, then apply gcf to the result and 3834.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7526\"\nresult = \"142\"", "target": "142", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (106, 71), 'gcf', 3834)", "intermediate": "7526", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 177 and 69, then apply gcf to the result and 17641.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4071\"\nresult = \"1357\"", "target": "1357", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (177, 69), 'gcf', 17641)", "intermediate": "4071", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 94 and 176, then apply gcf to the result and 21714.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8272\"\nresult = \"1034\"", "target": "1034", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (94, 176), 'gcf', 21714)", "intermediate": "8272", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 93 and 98, then apply gcf to the result and 25389.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9114\"\nresult = \"651\"", "target": "651", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (93, 98), 'gcf', 25389)", "intermediate": "9114", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 20 and 156, then apply gcf to the result and 4095.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"780\"\nresult = \"195\"", "target": "195", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (20, 156), 'gcf', 4095)", "intermediate": "780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 84 and 67, then apply gcf to the result and 7839.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5628\"\nresult = \"201\"", "target": "201", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (84, 67), 'gcf', 7839)", "intermediate": "5628", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 185 and 165, then apply gcf to the result and 3996.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6105\"\nresult = \"111\"", "target": "111", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (185, 165), 'gcf', 3996)", "intermediate": "6105", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 27 and 150, then apply gcf to the result and 2925.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1350\"\nresult = \"225\"", "target": "225", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (27, 150), 'gcf', 2925)", "intermediate": "1350", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 81 and 117, then apply gcf to the result and 8073.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1053\"\nresult = \"351\"", "target": "351", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (81, 117), 'gcf', 8073)", "intermediate": "1053", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 52 and 176, then apply gcf to the result and 8294.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2288\"\nresult = \"286\"", "target": "286", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (52, 176), 'gcf', 8294)", "intermediate": "2288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 126 and 68, then apply gcf to the result and 5236.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4284\"\nresult = \"476\"", "target": "476", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (126, 68), 'gcf', 5236)", "intermediate": "4284", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 145 and 70, then apply gcf to the result and 5481.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2030\"\nresult = \"203\"", "target": "203", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (145, 70), 'gcf', 5481)", "intermediate": "2030", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 58 and 75, then apply gcf to the result and 10150.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4350\"\nresult = \"1450\"", "target": "1450", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (58, 75), 'gcf', 10150)", "intermediate": "4350", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 128 and 124, then apply gcf to the result and 7192.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3968\"\nresult = \"248\"", "target": "248", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (128, 124), 'gcf', 7192)", "intermediate": "3968", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 190, then apply gcf to the result and 8208.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6080\"\nresult = \"304\"", "target": "304", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (64, 190), 'gcf', 8208)", "intermediate": "6080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 45 and 77, then apply gcf to the result and 17820.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3465\"\nresult = \"495\"", "target": "495", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (45, 77), 'gcf', 17820)", "intermediate": "3465", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 42 and 15, then apply gcf to the result and 1155.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"210\"\nresult = \"105\"", "target": "105", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (42, 15), 'gcf', 1155)", "intermediate": "210", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 83 and 74, then apply gcf to the result and 3486.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6142\"\nresult = \"166\"", "target": "166", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (83, 74), 'gcf', 3486)", "intermediate": "6142", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 172 and 53, then apply gcf to the result and 3180.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9116\"\nresult = \"212\"", "target": "212", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (172, 53), 'gcf', 3180)", "intermediate": "9116", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 118 and 39, then apply gcf to the result and 14573.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4602\"\nresult = \"767\"", "target": "767", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (118, 39), 'gcf', 14573)", "intermediate": "4602", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 160 and 52, then apply gcf to the result and 7072.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2080\"\nresult = \"416\"", "target": "416", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (160, 52), 'gcf', 7072)", "intermediate": "2080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 97 and 52, then apply gcf to the result and 582.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5044\"\nresult = \"194\"", "target": "194", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (97, 52), 'gcf', 582)", "intermediate": "5044", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 71, then apply gcf to the result and 6390.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3621\"\nresult = \"213\"", "target": "213", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 71), 'gcf', 6390)", "intermediate": "3621", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 86 and 158, then apply gcf to the result and 98513.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6794\"\nresult = \"3397\"", "target": "3397", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (86, 158), 'gcf', 98513)", "intermediate": "6794", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 108 and 153, then apply gcf to the result and 2346.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1836\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (108, 153), 'gcf', 2346)", "intermediate": "1836", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 129 and 47, then apply gcf to the result and 282.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6063\"\nresult = \"141\"", "target": "141", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (129, 47), 'gcf', 282)", "intermediate": "6063", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 32 and 142, then apply gcf to the result and 7100.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2272\"\nresult = \"284\"", "target": "284", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (32, 142), 'gcf', 7100)", "intermediate": "2272", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 85, then apply gcf to the result and 5270.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1360\"\nresult = \"170\"", "target": "170", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (16, 85), 'gcf', 5270)", "intermediate": "1360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 16 and 105, then apply gcf to the result and 2400.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1680\"\nresult = \"240\"", "target": "240", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (16, 105), 'gcf', 2400)", "intermediate": "1680", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 79 and 92, then apply gcf to the result and 5214.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7268\"\nresult = \"158\"", "target": "158", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (79, 92), 'gcf', 5214)", "intermediate": "7268", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 98 and 192, then apply gcf to the result and 63504.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9408\"\nresult = \"2352\"", "target": "2352", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (98, 192), 'gcf', 63504)", "intermediate": "9408", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 79, then apply gcf to the result and 17459.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3081\"\nresult = \"1027\"", "target": "1027", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (39, 79), 'gcf', 17459)", "intermediate": "3081", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 53 and 116, then apply gcf to the result and 58406.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6148\"\nresult = \"3074\"", "target": "3074", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (53, 116), 'gcf', 58406)", "intermediate": "6148", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 50 and 55, then apply gcf to the result and 5775.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"550\"\nresult = \"275\"", "target": "275", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (50, 55), 'gcf', 5775)", "intermediate": "550", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 149 and 54, then apply gcf to the result and 4917.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8046\"\nresult = \"447\"", "target": "447", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (149, 54), 'gcf', 4917)", "intermediate": "8046", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 143 and 62, then apply gcf to the result and 18538.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8866\"\nresult = \"806\"", "target": "806", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (143, 62), 'gcf', 18538)", "intermediate": "8866", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 68 and 124, then apply gcf to the result and 14229.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2108\"\nresult = \"527\"", "target": "527", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (68, 124), 'gcf', 14229)", "intermediate": "2108", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 106 and 176, then apply gcf to the result and 10176.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9328\"\nresult = \"848\"", "target": "848", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (106, 176), 'gcf', 10176)", "intermediate": "9328", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 87 and 34, then apply gcf to the result and 45849.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2958\"\nresult = \"1479\"", "target": "1479", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (87, 34), 'gcf', 45849)", "intermediate": "2958", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 88 and 190, then apply gcf to the result and 3420.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8360\"\nresult = \"380\"", "target": "380", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (88, 190), 'gcf', 3420)", "intermediate": "8360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 67, then apply gcf to the result and 19095.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9045\"\nresult = \"1005\"", "target": "1005", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (135, 67), 'gcf', 19095)", "intermediate": "9045", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 43 and 40, then apply gcf to the result and 14620.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1720\"\nresult = \"860\"", "target": "860", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (43, 40), 'gcf', 14620)", "intermediate": "1720", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 117 and 79, then apply gcf to the result and 35945.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9243\"\nresult = \"1027\"", "target": "1027", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (117, 79), 'gcf', 35945)", "intermediate": "9243", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 139 and 57, then apply gcf to the result and 76589.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7923\"\nresult = \"2641\"", "target": "2641", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (139, 57), 'gcf', 76589)", "intermediate": "7923", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 66 and 142, then apply gcf to the result and 9798.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4686\"\nresult = \"426\"", "target": "426", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (66, 142), 'gcf', 9798)", "intermediate": "4686", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 52 and 49, then apply gcf to the result and 3822.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2548\"\nresult = \"1274\"", "target": "1274", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (52, 49), 'gcf', 3822)", "intermediate": "2548", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 85 and 58, then apply gcf to the result and 8381.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4930\"\nresult = \"493\"", "target": "493", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (85, 58), 'gcf', 8381)", "intermediate": "4930", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 142 and 90, then apply gcf to the result and 7242.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6390\"\nresult = \"426\"", "target": "426", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (142, 90), 'gcf', 7242)", "intermediate": "6390", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 56 and 40, then apply gcf to the result and 2380.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"280\"\nresult = \"140\"", "target": "140", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (56, 40), 'gcf', 2380)", "intermediate": "280", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 53 and 123, then apply gcf to the result and 63017.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6519\"\nresult = \"2173\"", "target": "2173", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (53, 123), 'gcf', 63017)", "intermediate": "6519", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 172 and 46, then apply gcf to the result and 73186.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3956\"\nresult = \"1978\"", "target": "1978", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (172, 46), 'gcf', 73186)", "intermediate": "3956", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 23, then apply gcf to the result and 28704.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1472\"\nresult = \"736\"", "target": "736", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (64, 23), 'gcf', 28704)", "intermediate": "1472", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 140 and 66, then apply gcf to the result and 5698.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4620\"\nresult = \"154\"", "target": "154", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (140, 66), 'gcf', 5698)", "intermediate": "4620", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 94 and 120, then apply gcf to the result and 5264.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5640\"\nresult = \"376\"", "target": "376", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (94, 120), 'gcf', 5264)", "intermediate": "5640", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 19 and 26, then apply gcf to the result and 2717.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"494\"\nresult = \"247\"", "target": "247", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (19, 26), 'gcf', 2717)", "intermediate": "494", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 135 and 180, then apply gcf to the result and 10530.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"540\"\nresult = \"270\"", "target": "270", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (135, 180), 'gcf', 10530)", "intermediate": "540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 73 and 94, then apply gcf to the result and 2920.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6862\"\nresult = \"146\"", "target": "146", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (73, 94), 'gcf', 2920)", "intermediate": "6862", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 162 and 110, then apply gcf to the result and 5346.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8910\"\nresult = \"1782\"", "target": "1782", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (162, 110), 'gcf', 5346)", "intermediate": "8910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 82 and 58, then apply gcf to the result and 32103.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2378\"\nresult = \"1189\"", "target": "1189", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (82, 58), 'gcf', 32103)", "intermediate": "2378", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 18 and 96, then apply gcf to the result and 5616.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"288\"\nresult = \"144\"", "target": "144", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (18, 96), 'gcf', 5616)", "intermediate": "288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 21 and 160, then apply gcf to the result and 700.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3360\"\nresult = \"140\"", "target": "140", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (21, 160), 'gcf', 700)", "intermediate": "3360", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 192 and 124, then apply gcf to the result and 13764.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5952\"\nresult = \"372\"", "target": "372", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (192, 124), 'gcf', 13764)", "intermediate": "5952", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 26 and 83, then apply gcf to the result and 3486.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2158\"\nresult = \"166\"", "target": "166", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (26, 83), 'gcf', 3486)", "intermediate": "2158", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 125 and 85, then apply gcf to the result and 11050.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2125\"\nresult = \"425\"", "target": "425", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (125, 85), 'gcf', 11050)", "intermediate": "2125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 112 and 23, then apply gcf to the result and 1104.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2576\"\nresult = \"368\"", "target": "368", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (112, 23), 'gcf', 1104)", "intermediate": "2576", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 156 and 34, then apply gcf to the result and 7072.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2652\"\nresult = \"884\"", "target": "884", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (156, 34), 'gcf', 7072)", "intermediate": "2652", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 126 and 25, then apply gcf to the result and 6975.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3150\"\nresult = \"225\"", "target": "225", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (126, 25), 'gcf', 6975)", "intermediate": "3150", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 151 and 40, then apply gcf to the result and 12835.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6040\"\nresult = \"755\"", "target": "755", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (151, 40), 'gcf', 12835)", "intermediate": "6040", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 193 and 49, then apply gcf to the result and 48636.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9457\"\nresult = \"1351\"", "target": "1351", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (193, 49), 'gcf', 48636)", "intermediate": "9457", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 133 and 43, then apply gcf to the result and 10535.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5719\"\nresult = \"301\"", "target": "301", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (133, 43), 'gcf', 10535)", "intermediate": "5719", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 32 and 118, then apply gcf to the result and 2832.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1888\"\nresult = \"944\"", "target": "944", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (32, 118), 'gcf', 2832)", "intermediate": "1888", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 30 and 32, then apply gcf to the result and 6960.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"480\"\nresult = \"240\"", "target": "240", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (30, 32), 'gcf', 6960)", "intermediate": "480", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 101 and 75, then apply gcf to the result and 18180.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7575\"\nresult = \"1515\"", "target": "1515", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (101, 75), 'gcf', 18180)", "intermediate": "7575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 35 and 44, then apply gcf to the result and 3500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1540\"\nresult = \"140\"", "target": "140", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (35, 44), 'gcf', 3500)", "intermediate": "1540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 159 and 75, then apply gcf to the result and 8215.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3975\"\nresult = \"265\"", "target": "265", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (159, 75), 'gcf', 8215)", "intermediate": "3975", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 23 and 160, then apply gcf to the result and 6440.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3680\"\nresult = \"920\"", "target": "920", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (23, 160), 'gcf', 6440)", "intermediate": "3680", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 166 and 52, then apply gcf to the result and 39923.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4316\"\nresult = \"1079\"", "target": "1079", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (166, 52), 'gcf', 39923)", "intermediate": "4316", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 52, then apply gcf to the result and 3393.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1404\"\nresult = \"117\"", "target": "117", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (54, 52), 'gcf', 3393)", "intermediate": "1404", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 37 and 81, then apply gcf to the result and 2109.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2997\"\nresult = \"111\"", "target": "111", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (37, 81), 'gcf', 2109)", "intermediate": "2997", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 70 and 32, then apply gcf to the result and 10360.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1120\"\nresult = \"280\"", "target": "280", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (70, 32), 'gcf', 10360)", "intermediate": "1120", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 55 and 174, then apply gcf to the result and 9251.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9570\"\nresult = \"319\"", "target": "319", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (55, 174), 'gcf', 9251)", "intermediate": "9570", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 120 and 130, then apply gcf to the result and 1768.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1560\"\nresult = \"104\"", "target": "104", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (120, 130), 'gcf', 1768)", "intermediate": "1560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 22 and 85, then apply gcf to the result and 6290.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1870\"\nresult = \"170\"", "target": "170", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (22, 85), 'gcf', 6290)", "intermediate": "1870", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 142 and 69, then apply gcf to the result and 50623.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9798\"\nresult = \"1633\"", "target": "1633", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (142, 69), 'gcf', 50623)", "intermediate": "9798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 64 and 122, then apply gcf to the result and 21472.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3904\"\nresult = \"1952\"", "target": "1952", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (64, 122), 'gcf', 21472)", "intermediate": "3904", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 94 and 64, then apply gcf to the result and 2068.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3008\"\nresult = \"188\"", "target": "188", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (94, 64), 'gcf', 2068)", "intermediate": "3008", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 48 and 77, then apply gcf to the result and 4480.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3696\"\nresult = \"112\"", "target": "112", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (48, 77), 'gcf', 4480)", "intermediate": "3696", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 91 and 50, then apply gcf to the result and 84175.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4550\"\nresult = \"2275\"", "target": "2275", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (91, 50), 'gcf', 84175)", "intermediate": "4550", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 105, then apply gcf to the result and 3465.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1890\"\nresult = \"315\"", "target": "315", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (54, 105), 'gcf', 3465)", "intermediate": "1890", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 50 and 121, then apply gcf to the result and 13915.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6050\"\nresult = \"605\"", "target": "605", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (50, 121), 'gcf', 13915)", "intermediate": "6050", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 76 and 49, then apply gcf to the result and 10640.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3724\"\nresult = \"532\"", "target": "532", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (76, 49), 'gcf', 10640)", "intermediate": "3724", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 55 and 63, then apply gcf to the result and 2145.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3465\"\nresult = \"165\"", "target": "165", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (55, 63), 'gcf', 2145)", "intermediate": "3465", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 140, then apply gcf to the result and 8211.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7140\"\nresult = \"357\"", "target": "357", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 140), 'gcf', 8211)", "intermediate": "7140", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 24 and 59, then apply gcf to the result and 13688.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1416\"\nresult = \"472\"", "target": "472", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (24, 59), 'gcf', 13688)", "intermediate": "1416", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 142 and 41, then apply gcf to the result and 55309.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5822\"\nresult = \"2911\"", "target": "2911", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (142, 41), 'gcf', 55309)", "intermediate": "5822", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 48 and 170, then apply gcf to the result and 1496.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4080\"\nresult = \"136\"", "target": "136", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (48, 170), 'gcf', 1496)", "intermediate": "4080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 165 and 123, then apply gcf to the result and 14432.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6765\"\nresult = \"451\"", "target": "451", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (165, 123), 'gcf', 14432)", "intermediate": "6765", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 154 and 49, then apply gcf to the result and 15631.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1078\"\nresult = \"539\"", "target": "539", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (154, 49), 'gcf', 15631)", "intermediate": "1078", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 33 and 57, then apply gcf to the result and 6061.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"627\"\nresult = \"209\"", "target": "209", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (33, 57), 'gcf', 6061)", "intermediate": "627", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 57 and 64, then apply gcf to the result and 5376.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3648\"\nresult = \"192\"", "target": "192", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (57, 64), 'gcf', 5376)", "intermediate": "3648", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 40 and 83, then apply gcf to the result and 12948.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3320\"\nresult = \"332\"", "target": "332", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (40, 83), 'gcf', 12948)", "intermediate": "3320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 63 and 12, then apply gcf to the result and 2142.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"252\"\nresult = \"126\"", "target": "126", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (63, 12), 'gcf', 2142)", "intermediate": "252", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 54 and 170, then apply gcf to the result and 3213.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4590\"\nresult = \"459\"", "target": "459", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (54, 170), 'gcf', 3213)", "intermediate": "4590", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 33 and 36, then apply gcf to the result and 1716.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"396\"\nresult = \"132\"", "target": "132", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (33, 36), 'gcf', 1716)", "intermediate": "396", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 51 and 192, then apply gcf to the result and 14688.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3264\"\nresult = \"1632\"", "target": "1632", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 192), 'gcf', 14688)", "intermediate": "3264", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 124 and 84, then apply gcf to the result and 24738.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2604\"\nresult = \"1302\"", "target": "1302", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (124, 84), 'gcf', 24738)", "intermediate": "2604", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 165 and 144, then apply gcf to the result and 97680.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7920\"\nresult = \"2640\"", "target": "2640", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (165, 144), 'gcf', 97680)", "intermediate": "7920", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 187 and 48, then apply gcf to the result and 1938.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8976\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (187, 48), 'gcf', 1938)", "intermediate": "8976", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 110 and 54, then apply gcf to the result and 6831.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2970\"\nresult = \"297\"", "target": "297", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (110, 54), 'gcf', 6831)", "intermediate": "2970", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 124 and 36, then apply gcf to the result and 2418.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1116\"\nresult = \"186\"", "target": "186", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (124, 36), 'gcf', 2418)", "intermediate": "1116", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 122 and 79, then apply gcf to the result and 5056.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9638\"\nresult = \"158\"", "target": "158", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (122, 79), 'gcf', 5056)", "intermediate": "9638", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 46 and 118, then apply gcf to the result and 47495.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2714\"\nresult = \"1357\"", "target": "1357", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (46, 118), 'gcf', 47495)", "intermediate": "2714", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 15 and 104, then apply gcf to the result and 19240.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1560\"\nresult = \"520\"", "target": "520", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (15, 104), 'gcf', 19240)", "intermediate": "1560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 24 and 94, then apply gcf to the result and 4230.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1128\"\nresult = \"282\"", "target": "282", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (24, 94), 'gcf', 4230)", "intermediate": "1128", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 82 and 42, then apply gcf to the result and 7175.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1722\"\nresult = \"287\"", "target": "287", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (82, 42), 'gcf', 7175)", "intermediate": "1722", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 153 and 12, then apply gcf to the result and 408.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"612\"\nresult = \"204\"", "target": "204", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (153, 12), 'gcf', 408)", "intermediate": "612", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 63 and 88, then apply gcf to the result and 10164.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5544\"\nresult = \"924\"", "target": "924", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (63, 88), 'gcf', 10164)", "intermediate": "5544", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 81 and 25, then apply gcf to the result and 4500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2025\"\nresult = \"225\"", "target": "225", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (81, 25), 'gcf', 4500)", "intermediate": "2025", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 104 and 66, then apply gcf to the result and 8580.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3432\"\nresult = \"1716\"", "target": "1716", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (104, 66), 'gcf', 8580)", "intermediate": "3432", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 74 and 51, then apply gcf to the result and 510.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3774\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (74, 51), 'gcf', 510)", "intermediate": "3774", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 184 and 39, then apply gcf to the result and 7774.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7176\"\nresult = \"598\"", "target": "598", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (184, 39), 'gcf', 7774)", "intermediate": "7176", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 61 and 100, then apply gcf to the result and 7015.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6100\"\nresult = \"305\"", "target": "305", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (61, 100), 'gcf', 7015)", "intermediate": "6100", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 92 and 35, then apply gcf to the result and 8970.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3220\"\nresult = \"230\"", "target": "230", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (92, 35), 'gcf', 8970)", "intermediate": "3220", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 72 and 52, then apply gcf to the result and 2964.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936\"\nresult = \"156\"", "target": "156", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (72, 52), 'gcf', 2964)", "intermediate": "936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 107 and 75, then apply gcf to the result and 4280.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8025\"\nresult = \"535\"", "target": "535", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (107, 75), 'gcf', 4280)", "intermediate": "8025", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 62 and 45, then apply gcf to the result and 11625.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2790\"\nresult = \"465\"", "target": "465", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (62, 45), 'gcf', 11625)", "intermediate": "2790", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 28 and 82, then apply gcf to the result and 1640.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1148\"\nresult = \"164\"", "target": "164", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (28, 82), 'gcf', 1640)", "intermediate": "1148", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 130 and 49, then apply gcf to the result and 15015.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6370\"\nresult = \"455\"", "target": "455", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (130, 49), 'gcf', 15015)", "intermediate": "6370", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 32 and 38, then apply gcf to the result and 5320.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"608\"\nresult = \"152\"", "target": "152", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (32, 38), 'gcf', 5320)", "intermediate": "608", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 176 and 26, then apply gcf to the result and 2717.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2288\"\nresult = \"143\"", "target": "143", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (176, 26), 'gcf', 2717)", "intermediate": "2288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 113 and 38, then apply gcf to the result and 3842.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4294\"\nresult = \"226\"", "target": "226", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (113, 38), 'gcf', 3842)", "intermediate": "4294", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 79 and 76, then apply gcf to the result and 55537.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6004\"\nresult = \"1501\"", "target": "1501", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (79, 76), 'gcf', 55537)", "intermediate": "6004", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply lcm to 39 and 142, then apply gcf to the result and 35997.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5538\"\nresult = \"2769\"", "target": "2769", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (39, 142), 'gcf', 35997)", "intermediate": "5538", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 729 and 1701, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"243\"\nresult = \"1215\"", "target": "1215", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (729, 1701), 'lcm', 5)", "intermediate": "243", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2908 and 7997, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"727\"\nresult = \"8724\"", "target": "8724", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2908, 7997), 'lcm', 12)", "intermediate": "727", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2135 and 4697, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"427\"\nresult = \"3416\"", "target": "3416", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2135, 4697), 'lcm', 8)", "intermediate": "427", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6210 and 6900, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"690\"\nresult = \"1380\"", "target": "1380", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6210, 6900), 'lcm', 4)", "intermediate": "690", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2109 and 5624, then apply lcm to the result and 76.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"703\"\nresult = \"2812\"", "target": "2812", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2109, 5624), 'lcm', 76)", "intermediate": "703", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2445 and 8965, then apply lcm to the result and 35.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"815\"\nresult = \"5705\"", "target": "5705", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2445, 8965), 'lcm', 35)", "intermediate": "815", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1152 and 2016, then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"288\"\nresult = \"1440\"", "target": "1440", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1152, 2016), 'lcm', 20)", "intermediate": "288", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3088 and 3474, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"386\"\nresult = \"6948\"", "target": "6948", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3088, 3474), 'lcm', 36)", "intermediate": "386", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2250 and 3600, then apply lcm to the result and 55.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"450\"\nresult = \"4950\"", "target": "4950", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2250, 3600), 'lcm', 55)", "intermediate": "450", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1785 and 2499, then apply lcm to the result and 68.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"357\"\nresult = \"1428\"", "target": "1428", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1785, 2499), 'lcm', 68)", "intermediate": "357", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2076 and 3633, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"519\"\nresult = \"2595\"", "target": "2595", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2076, 3633), 'lcm', 5)", "intermediate": "519", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2020 and 3636, then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"404\"\nresult = \"8888\"", "target": "8888", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2020, 3636), 'lcm', 88)", "intermediate": "404", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2560 and 5760, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"640\"\nresult = \"8320\"", "target": "8320", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2560, 5760), 'lcm', 13)", "intermediate": "640", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 768 and 2112, then apply lcm to the result and 47.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192\"\nresult = \"9024\"", "target": "9024", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (768, 2112), 'lcm', 47)", "intermediate": "192", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2883 and 4805, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"961\"\nresult = \"1922\"", "target": "1922", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2883, 4805), 'lcm', 2)", "intermediate": "961", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 792 and 2178, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"198\"\nresult = \"2574\"", "target": "2574", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (792, 2178), 'lcm', 26)", "intermediate": "198", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1371 and 1828, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"457\"\nresult = \"2742\"", "target": "2742", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1371, 1828), 'lcm', 6)", "intermediate": "457", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 820 and 1312, then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"164\"\nresult = \"3116\"", "target": "3116", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (820, 1312), 'lcm', 19)", "intermediate": "164", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6405 and 9150, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"915\"\nresult = \"8235\"", "target": "8235", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6405, 9150), 'lcm', 27)", "intermediate": "915", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1196 and 2691, then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"299\"\nresult = \"5083\"", "target": "5083", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1196, 2691), 'lcm', 17)", "intermediate": "299", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1894 and 10417, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"947\"\nresult = \"6629\"", "target": "6629", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1894, 10417), 'lcm', 7)", "intermediate": "947", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1272 and 6996, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"636\"\nresult = \"3180\"", "target": "3180", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1272, 6996), 'lcm', 10)", "intermediate": "636", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6573 and 10329, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"939\"\nresult = \"3756\"", "target": "3756", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6573, 10329), 'lcm', 4)", "intermediate": "939", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1455 and 2037, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"291\"\nresult = \"2910\"", "target": "2910", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1455, 2037), 'lcm', 10)", "intermediate": "291", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 896 and 4032, then apply lcm to the result and 91.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"448\"\nresult = \"5824\"", "target": "5824", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (896, 4032), 'lcm', 91)", "intermediate": "448", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1125 and 1500, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375\"\nresult = \"2625\"", "target": "2625", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1125, 1500), 'lcm', 7)", "intermediate": "375", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 534 and 890, then apply lcm to the result and 47.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"178\"\nresult = \"8366\"", "target": "8366", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (534, 890), 'lcm', 47)", "intermediate": "178", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 568 and 852, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"284\"\nresult = \"1988\"", "target": "1988", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (568, 852), 'lcm', 14)", "intermediate": "284", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3470 and 4164, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"694\"\nresult = \"9716\"", "target": "9716", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3470, 4164), 'lcm', 28)", "intermediate": "694", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2048 and 2560, then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"512\"\nresult = \"8704\"", "target": "8704", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2048, 2560), 'lcm', 17)", "intermediate": "512", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7668 and 9372, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"852\"\nresult = \"6816\"", "target": "6816", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (7668, 9372), 'lcm', 32)", "intermediate": "852", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3888 and 4374, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486\"\nresult = \"6804\"", "target": "6804", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3888, 4374), 'lcm', 28)", "intermediate": "486", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2156 and 3080, then apply lcm to the result and 64.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"308\"\nresult = \"4928\"", "target": "4928", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2156, 3080), 'lcm', 64)", "intermediate": "308", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6076 and 6944, then apply lcm to the result and 93.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"868\"\nresult = \"2604\"", "target": "2604", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6076, 6944), 'lcm', 93)", "intermediate": "868", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2116 and 5819, then apply lcm to the result and 16.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"529\"\nresult = \"8464\"", "target": "8464", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2116, 5819), 'lcm', 16)", "intermediate": "529", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3348 and 4092, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"372\"\nresult = \"1860\"", "target": "1860", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3348, 4092), 'lcm', 10)", "intermediate": "372", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3905 and 7029, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"781\"\nresult = \"1562\"", "target": "1562", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3905, 7029), 'lcm', 22)", "intermediate": "781", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2538 and 2820, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"282\"\nresult = \"3948\"", "target": "3948", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2538, 2820), 'lcm', 84)", "intermediate": "282", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1830 and 2440, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"610\"\nresult = \"4270\"", "target": "4270", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1830, 2440), 'lcm', 7)", "intermediate": "610", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2681 and 3830, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"383\"\nresult = \"766\"", "target": "766", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2681, 3830), 'lcm', 2)", "intermediate": "383", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1920 and 2240, then apply lcm to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"320\"\nresult = \"9920\"", "target": "9920", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1920, 2240), 'lcm', 31)", "intermediate": "320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7872 and 8856, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"984\"\nresult = \"4920\"", "target": "4920", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (7872, 8856), 'lcm', 15)", "intermediate": "984", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2232 and 3069, then apply lcm to the result and 81.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279\"\nresult = \"2511\"", "target": "2511", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2232, 3069), 'lcm', 81)", "intermediate": "279", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3080 and 4235, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"385\"\nresult = \"770\"", "target": "770", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3080, 4235), 'lcm', 22)", "intermediate": "385", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3648 and 4104, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"456\"\nresult = \"5928\"", "target": "5928", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3648, 4104), 'lcm', 26)", "intermediate": "456", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2444 and 4277, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"611\"\nresult = \"6721\"", "target": "6721", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2444, 4277), 'lcm', 11)", "intermediate": "611", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2976 and 5456, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"496\"\nresult = \"6448\"", "target": "6448", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2976, 5456), 'lcm', 26)", "intermediate": "496", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2469 and 3292, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"823\"\nresult = \"9876\"", "target": "9876", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2469, 3292), 'lcm', 12)", "intermediate": "823", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1359 and 1661, then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"151\"\nresult = \"7550\"", "target": "7550", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1359, 1661), 'lcm', 50)", "intermediate": "151", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1338 and 3122, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"446\"\nresult = \"1784\"", "target": "1784", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1338, 3122), 'lcm', 8)", "intermediate": "446", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3150 and 4410, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"630\"\nresult = \"1890\"", "target": "1890", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3150, 4410), 'lcm', 27)", "intermediate": "630", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2684 and 3355, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671\"\nresult = \"1342\"", "target": "1342", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2684, 3355), 'lcm', 2)", "intermediate": "671", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1917 and 7029, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"639\"\nresult = \"2556\"", "target": "2556", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1917, 7029), 'lcm', 4)", "intermediate": "639", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1080 and 1512, then apply lcm to the result and 82.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"216\"\nresult = \"8856\"", "target": "8856", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1080, 1512), 'lcm', 82)", "intermediate": "216", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1815 and 2541, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"363\"\nresult = \"5082\"", "target": "5082", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1815, 2541), 'lcm', 42)", "intermediate": "363", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2605 and 4689, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"521\"\nresult = \"4168\"", "target": "4168", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2605, 4689), 'lcm', 8)", "intermediate": "521", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2373 and 3729, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"339\"\nresult = \"678\"", "target": "678", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2373, 3729), 'lcm', 2)", "intermediate": "339", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1032 and 2408, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"344\"\nresult = \"3096\"", "target": "3096", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1032, 2408), 'lcm', 9)", "intermediate": "344", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1980 and 2420, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"220\"\nresult = \"4620\"", "target": "4620", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1980, 2420), 'lcm', 42)", "intermediate": "220", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3645 and 4050, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"405\"\nresult = \"5670\"", "target": "5670", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3645, 4050), 'lcm', 42)", "intermediate": "405", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 430 and 1935, then apply lcm to the result and 44.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"215\"\nresult = \"9460\"", "target": "9460", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (430, 1935), 'lcm', 44)", "intermediate": "215", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 837 and 1116, then apply lcm to the result and 63.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279\"\nresult = \"1953\"", "target": "1953", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (837, 1116), 'lcm', 63)", "intermediate": "279", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1564 and 3519, then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"391\"\nresult = \"7429\"", "target": "7429", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1564, 3519), 'lcm', 19)", "intermediate": "391", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3728 and 6524, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"932\"\nresult = \"7456\"", "target": "7456", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3728, 6524), 'lcm', 32)", "intermediate": "932", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1725 and 4600, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"575\"\nresult = \"7475\"", "target": "7475", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1725, 4600), 'lcm', 13)", "intermediate": "575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1848 and 2079, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"231\"\nresult = \"7392\"", "target": "7392", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1848, 2079), 'lcm', 32)", "intermediate": "231", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2607 and 8690, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"869\"\nresult = \"6952\"", "target": "6952", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2607, 8690), 'lcm', 8)", "intermediate": "869", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1080 and 1728, then apply lcm to the result and 63.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"216\"\nresult = \"1512\"", "target": "1512", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1080, 1728), 'lcm', 63)", "intermediate": "216", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3038 and 4774, then apply lcm to the result and 23.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"434\"\nresult = \"9982\"", "target": "9982", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3038, 4774), 'lcm', 23)", "intermediate": "434", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2464 and 4312, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"616\"\nresult = \"3080\"", "target": "3080", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2464, 4312), 'lcm', 10)", "intermediate": "616", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2370 and 8690, then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"790\"\nresult = \"3950\"", "target": "3950", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2370, 8690), 'lcm', 50)", "intermediate": "790", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2115 and 2585, then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"235\"\nresult = \"2820\"", "target": "2820", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2115, 2585), 'lcm', 60)", "intermediate": "235", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3264 and 3808, then apply lcm to the result and 52.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"544\"\nresult = \"7072\"", "target": "7072", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3264, 3808), 'lcm', 52)", "intermediate": "544", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3208 and 8822, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"802\"\nresult = \"2406\"", "target": "2406", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3208, 8822), 'lcm', 3)", "intermediate": "802", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 366 and 1647, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"183\"\nresult = \"1281\"", "target": "1281", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (366, 1647), 'lcm', 21)", "intermediate": "183", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1610 and 2898, then apply lcm to the result and 62.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"322\"\nresult = \"9982\"", "target": "9982", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1610, 2898), 'lcm', 62)", "intermediate": "322", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5460 and 6370, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"910\"\nresult = \"8190\"", "target": "8190", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5460, 6370), 'lcm', 18)", "intermediate": "910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 847 and 1210, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"121\"\nresult = \"242\"", "target": "242", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (847, 1210), 'lcm', 22)", "intermediate": "121", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4893 and 7689, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"699\"\nresult = \"6291\"", "target": "6291", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4893, 7689), 'lcm', 27)", "intermediate": "699", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2733 and 10021, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"911\"\nresult = \"6377\"", "target": "6377", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2733, 10021), 'lcm', 7)", "intermediate": "911", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6444 and 7876, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"716\"\nresult = \"5728\"", "target": "5728", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6444, 7876), 'lcm', 32)", "intermediate": "716", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3625 and 5800, then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"725\"\nresult = \"8700\"", "target": "8700", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3625, 5800), 'lcm', 60)", "intermediate": "725", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1130 and 2034, then apply lcm to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"226\"\nresult = \"7006\"", "target": "7006", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1130, 2034), 'lcm', 31)", "intermediate": "226", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1824 and 4104, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"456\"\nresult = \"1368\"", "target": "1368", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1824, 4104), 'lcm', 18)", "intermediate": "456", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1708 and 9394, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"854\"\nresult = \"7686\"", "target": "7686", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1708, 9394), 'lcm', 18)", "intermediate": "854", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5556 and 10186, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"926\"\nresult = \"8334\"", "target": "8334", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5556, 10186), 'lcm', 18)", "intermediate": "926", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 816 and 1020, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"204\"\nresult = \"2244\"", "target": "2244", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (816, 1020), 'lcm', 66)", "intermediate": "204", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5348 and 6876, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"764\"\nresult = \"2292\"", "target": "2292", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5348, 6876), 'lcm', 3)", "intermediate": "764", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 327 and 436, then apply lcm to the result and 58.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"109\"\nresult = \"6322\"", "target": "6322", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (327, 436), 'lcm', 58)", "intermediate": "109", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2784 and 10208, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"928\"\nresult = \"6496\"", "target": "6496", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2784, 10208), 'lcm', 14)", "intermediate": "928", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1468 and 1835, then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"367\"\nresult = \"6239\"", "target": "6239", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1468, 1835), 'lcm', 17)", "intermediate": "367", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1761 and 2348, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"587\"\nresult = \"7044\"", "target": "7044", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1761, 2348), 'lcm', 12)", "intermediate": "587", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4055 and 5677, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"811\"\nresult = \"6488\"", "target": "6488", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4055, 5677), 'lcm', 8)", "intermediate": "811", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1456 and 6552, then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"728\"\nresult = \"4368\"", "target": "4368", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1456, 6552), 'lcm', 48)", "intermediate": "728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 342 and 513, then apply lcm to the result and 69.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"171\"\nresult = \"3933\"", "target": "3933", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (342, 513), 'lcm', 69)", "intermediate": "171", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5877 and 7183, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"653\"\nresult = \"9142\"", "target": "9142", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5877, 7183), 'lcm', 14)", "intermediate": "653", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2688 and 3696, then apply lcm to the result and 54.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"336\"\nresult = \"3024\"", "target": "3024", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2688, 3696), 'lcm', 54)", "intermediate": "336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 740 and 1850, then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"370\"\nresult = \"3330\"", "target": "3330", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (740, 1850), 'lcm', 45)", "intermediate": "370", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3640 and 5824, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"728\"\nresult = \"6552\"", "target": "6552", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3640, 5824), 'lcm', 36)", "intermediate": "728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 910 and 1040, then apply lcm to the result and 46.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"130\"\nresult = \"2990\"", "target": "2990", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (910, 1040), 'lcm', 46)", "intermediate": "130", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1300 and 4550, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"650\"\nresult = \"7150\"", "target": "7150", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1300, 4550), 'lcm', 22)", "intermediate": "650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4424 and 4977, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"553\"\nresult = \"1659\"", "target": "1659", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4424, 4977), 'lcm', 3)", "intermediate": "553", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4875 and 5850, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"975\"\nresult = \"6825\"", "target": "6825", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4875, 5850), 'lcm', 7)", "intermediate": "975", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4600 and 5175, then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"575\"\nresult = \"6900\"", "target": "6900", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4600, 5175), 'lcm', 60)", "intermediate": "575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1026 and 1368, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"342\"\nresult = \"1710\"", "target": "1710", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1026, 1368), 'lcm', 10)", "intermediate": "342", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 238 and 1071, then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"119\"\nresult = \"3094\"", "target": "3094", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (238, 1071), 'lcm', 26)", "intermediate": "119", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1464 and 3294, then apply lcm to the result and 84.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"366\"\nresult = \"5124\"", "target": "5124", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1464, 3294), 'lcm', 84)", "intermediate": "366", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4565 and 5478, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"913\"\nresult = \"2739\"", "target": "2739", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4565, 5478), 'lcm', 3)", "intermediate": "913", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 588 and 882, then apply lcm to the result and 29.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"294\"\nresult = \"8526\"", "target": "8526", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (588, 882), 'lcm', 29)", "intermediate": "294", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1956 and 2934, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"978\"\nresult = \"4890\"", "target": "4890", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1956, 2934), 'lcm', 30)", "intermediate": "978", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1284 and 1498, then apply lcm to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"214\"\nresult = \"6634\"", "target": "6634", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1284, 1498), 'lcm', 31)", "intermediate": "214", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1840 and 4140, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"460\"\nresult = \"9660\"", "target": "9660", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1840, 4140), 'lcm', 21)", "intermediate": "460", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2190 and 4015, then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"365\"\nresult = \"5840\"", "target": "5840", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2190, 4015), 'lcm', 80)", "intermediate": "365", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3552 and 6512, then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"592\"\nresult = \"4144\"", "target": "4144", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3552, 6512), 'lcm', 56)", "intermediate": "592", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1519 and 2170, then apply lcm to the result and 46.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"217\"\nresult = \"9982\"", "target": "9982", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1519, 2170), 'lcm', 46)", "intermediate": "217", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 717 and 1912, then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"239\"\nresult = \"4541\"", "target": "4541", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (717, 1912), 'lcm', 19)", "intermediate": "239", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1575 and 2250, then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"225\"\nresult = \"2925\"", "target": "2925", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1575, 2250), 'lcm', 39)", "intermediate": "225", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3060 and 3740, then apply lcm to the result and 96.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"340\"\nresult = \"8160\"", "target": "8160", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3060, 3740), 'lcm', 96)", "intermediate": "340", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2352 and 7840, then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"784\"\nresult = \"8624\"", "target": "8624", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2352, 7840), 'lcm', 88)", "intermediate": "784", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2510 and 4016, then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"502\"\nresult = \"7530\"", "target": "7530", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2510, 4016), 'lcm', 30)", "intermediate": "502", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1824 and 2128, then apply lcm to the result and 29.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"304\"\nresult = \"8816\"", "target": "8816", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1824, 2128), 'lcm', 29)", "intermediate": "304", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 472 and 2596, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"236\"\nresult = \"4956\"", "target": "4956", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (472, 2596), 'lcm', 42)", "intermediate": "236", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 718 and 3949, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"359\"\nresult = \"3590\"", "target": "3590", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (718, 3949), 'lcm', 10)", "intermediate": "359", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2370 and 5530, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"790\"\nresult = \"3160\"", "target": "3160", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2370, 5530), 'lcm', 8)", "intermediate": "790", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3485 and 4182, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"697\"\nresult = \"9061\"", "target": "9061", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3485, 4182), 'lcm', 13)", "intermediate": "697", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 7983 and 8870, then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"887\"\nresult = \"1774\"", "target": "1774", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (7983, 8870), 'lcm', 2)", "intermediate": "887", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6013 and 6872, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"859\"\nresult = \"3436\"", "target": "3436", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6013, 6872), 'lcm', 4)", "intermediate": "859", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3780 and 6930, then apply lcm to the result and 98.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"630\"\nresult = \"4410\"", "target": "4410", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3780, 6930), 'lcm', 98)", "intermediate": "630", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4382 and 6260, then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"626\"\nresult = \"7512\"", "target": "7512", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4382, 6260), 'lcm', 24)", "intermediate": "626", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1284 and 3424, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428\"\nresult = \"2996\"", "target": "2996", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1284, 3424), 'lcm', 7)", "intermediate": "428", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1278 and 1704, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"426\"\nresult = \"852\"", "target": "852", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1278, 1704), 'lcm', 12)", "intermediate": "426", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1092 and 1560, then apply lcm to the result and 58.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"156\"\nresult = \"4524\"", "target": "4524", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1092, 1560), 'lcm', 58)", "intermediate": "156", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2387 and 3751, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"341\"\nresult = \"2046\"", "target": "2046", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2387, 3751), 'lcm', 66)", "intermediate": "341", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2460 and 3075, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"615\"\nresult = \"3690\"", "target": "3690", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2460, 3075), 'lcm', 18)", "intermediate": "615", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1900 and 4180, then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"380\"\nresult = \"8360\"", "target": "8360", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1900, 4180), 'lcm', 88)", "intermediate": "380", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4158 and 7623, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"693\"\nresult = \"3465\"", "target": "3465", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4158, 7623), 'lcm', 5)", "intermediate": "693", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 390 and 1300, then apply lcm to the result and 68.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"130\"\nresult = \"4420\"", "target": "4420", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (390, 1300), 'lcm', 68)", "intermediate": "130", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1944 and 3402, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486\"\nresult = \"2430\"", "target": "2430", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1944, 3402), 'lcm', 15)", "intermediate": "486", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1852 and 4167, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"463\"\nresult = \"6482\"", "target": "6482", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1852, 4167), 'lcm', 14)", "intermediate": "463", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 950 and 4275, then apply lcm to the result and 65.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"475\"\nresult = \"6175\"", "target": "6175", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (950, 4275), 'lcm', 65)", "intermediate": "475", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5776 and 7942, then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"722\"\nresult = \"5054\"", "target": "5054", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5776, 7942), 'lcm', 14)", "intermediate": "722", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 804 and 2010, then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"402\"\nresult = \"5226\"", "target": "5226", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (804, 2010), 'lcm', 78)", "intermediate": "402", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2709 and 3483, then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"387\"\nresult = \"5418\"", "target": "5418", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2709, 3483), 'lcm', 42)", "intermediate": "387", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2739 and 9130, then apply lcm to the result and 99.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"913\"\nresult = \"8217\"", "target": "8217", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2739, 9130), 'lcm', 99)", "intermediate": "913", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1812 and 2416, then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"604\"\nresult = \"4832\"", "target": "4832", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1812, 2416), 'lcm', 32)", "intermediate": "604", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2697 and 3596, then apply lcm to the result and 58.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"899\"\nresult = \"1798\"", "target": "1798", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2697, 3596), 'lcm', 58)", "intermediate": "899", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1953 and 6510, then apply lcm to the result and 33.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"651\"\nresult = \"7161\"", "target": "7161", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1953, 6510), 'lcm', 33)", "intermediate": "651", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 950 and 1425, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"475\"\nresult = \"2850\"", "target": "2850", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (950, 1425), 'lcm', 6)", "intermediate": "475", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3570 and 6545, then apply lcm to the result and 51.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"595\"\nresult = \"1785\"", "target": "1785", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3570, 6545), 'lcm', 51)", "intermediate": "595", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 880 and 1210, then apply lcm to the result and 33.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"110\"\nresult = \"330\"", "target": "330", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (880, 1210), 'lcm', 33)", "intermediate": "110", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1470 and 1960, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"490\"\nresult = \"980\"", "target": "980", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1470, 1960), 'lcm', 28)", "intermediate": "490", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1395 and 2325, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"465\"\nresult = \"3720\"", "target": "3720", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1395, 2325), 'lcm', 8)", "intermediate": "465", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 938 and 3283, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"469\"\nresult = \"2345\"", "target": "2345", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (938, 3283), 'lcm', 5)", "intermediate": "469", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1316 and 1880, then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"188\"\nresult = \"7332\"", "target": "7332", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1316, 1880), 'lcm', 78)", "intermediate": "188", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3490 and 4886, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698\"\nresult = \"2094\"", "target": "2094", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3490, 4886), 'lcm', 6)", "intermediate": "698", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1176 and 1617, then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"147\"\nresult = \"588\"", "target": "588", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1176, 1617), 'lcm', 12)", "intermediate": "147", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 6624 and 7452, then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"828\"\nresult = \"2484\"", "target": "2484", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (6624, 7452), 'lcm', 27)", "intermediate": "828", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3240 and 4536, then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"648\"\nresult = \"7128\"", "target": "7128", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3240, 4536), 'lcm', 66)", "intermediate": "648", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2668 and 6003, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"667\"\nresult = \"5336\"", "target": "5336", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2668, 6003), 'lcm', 8)", "intermediate": "667", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1203 and 4010, then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"401\"\nresult = \"4411\"", "target": "4411", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1203, 4010), 'lcm', 11)", "intermediate": "401", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1480 and 8140, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"740\"\nresult = \"6660\"", "target": "6660", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1480, 8140), 'lcm', 18)", "intermediate": "740", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2052 and 2565, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"513\"\nresult = \"6669\"", "target": "6669", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2052, 2565), 'lcm', 13)", "intermediate": "513", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3560 and 4272, then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"712\"\nresult = \"6408\"", "target": "6408", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3560, 4272), 'lcm', 18)", "intermediate": "712", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5390 and 8470, then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"770\"\nresult = \"2310\"", "target": "2310", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5390, 8470), 'lcm', 6)", "intermediate": "770", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1310 and 1834, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"262\"\nresult = \"524\"", "target": "524", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1310, 1834), 'lcm', 4)", "intermediate": "262", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1065 and 1917, then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"213\"\nresult = \"5538\"", "target": "5538", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1065, 1917), 'lcm', 78)", "intermediate": "213", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4295 and 6872, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"859\"\nresult = \"3436\"", "target": "3436", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4295, 6872), 'lcm', 4)", "intermediate": "859", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1500 and 5000, then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"500\"\nresult = \"4500\"", "target": "4500", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1500, 5000), 'lcm', 36)", "intermediate": "500", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1058 and 4761, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"529\"\nresult = \"5290\"", "target": "5290", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1058, 4761), 'lcm', 10)", "intermediate": "529", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3094 and 3978, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"442\"\nresult = \"9282\"", "target": "9282", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3094, 3978), 'lcm', 21)", "intermediate": "442", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 8163 and 9070, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"907\"\nresult = \"6349\"", "target": "6349", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (8163, 9070), 'lcm', 7)", "intermediate": "907", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1458 and 4860, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486\"\nresult = \"3402\"", "target": "3402", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1458, 4860), 'lcm', 7)", "intermediate": "486", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1827 and 2030, then apply lcm to the result and 91.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"203\"\nresult = \"2639\"", "target": "2639", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1827, 2030), 'lcm', 91)", "intermediate": "203", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1344 and 1728, then apply lcm to the result and 44.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192\"\nresult = \"2112\"", "target": "2112", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1344, 1728), 'lcm', 44)", "intermediate": "192", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2392 and 5382, then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"598\"\nresult = \"8970\"", "target": "8970", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2392, 5382), 'lcm', 15)", "intermediate": "598", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2824 and 6354, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"706\"\nresult = \"3530\"", "target": "3530", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2824, 6354), 'lcm', 5)", "intermediate": "706", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2181 and 5816, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"727\"\nresult = \"9451\"", "target": "9451", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2181, 5816), 'lcm', 13)", "intermediate": "727", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5334 and 6096, then apply lcm to the result and 33.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"762\"\nresult = \"8382\"", "target": "8382", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5334, 6096), 'lcm', 33)", "intermediate": "762", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2170 and 3038, then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"434\"\nresult = \"1302\"", "target": "1302", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2170, 3038), 'lcm', 21)", "intermediate": "434", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4855 and 10681, then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"971\"\nresult = \"8739\"", "target": "8739", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4855, 10681), 'lcm', 9)", "intermediate": "971", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1626 and 1897, then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"271\"\nresult = \"5962\"", "target": "5962", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1626, 1897), 'lcm', 22)", "intermediate": "271", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 432 and 1008, then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"144\"\nresult = \"3600\"", "target": "3600", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (432, 1008), 'lcm', 50)", "intermediate": "144", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3696 and 4312, then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"616\"\nresult = \"5544\"", "target": "5544", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3696, 4312), 'lcm', 72)", "intermediate": "616", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1238 and 4333, then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"619\"\nresult = \"8047\"", "target": "8047", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1238, 4333), 'lcm', 13)", "intermediate": "619", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1473 and 3928, then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"491\"\nresult = \"1964\"", "target": "1964", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1473, 3928), 'lcm', 4)", "intermediate": "491", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 3956 and 8901, then apply lcm to the result and 46.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"989\"\nresult = \"1978\"", "target": "1978", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (3956, 8901), 'lcm', 46)", "intermediate": "989", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4325 and 5190, then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"865\"\nresult = \"6055\"", "target": "6055", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4325, 5190), 'lcm', 7)", "intermediate": "865", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 5772 and 6734, then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"962\"\nresult = \"2886\"", "target": "2886", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (5772, 6734), 'lcm', 3)", "intermediate": "962", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 908 and 2497, then apply lcm to the result and 37.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"227\"\nresult = \"8399\"", "target": "8399", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (908, 2497), 'lcm', 37)", "intermediate": "227", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1214 and 5463, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"607\"\nresult = \"4856\"", "target": "4856", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1214, 5463), 'lcm', 8)", "intermediate": "607", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1750 and 9625, then apply lcm to the result and 75.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"875\"\nresult = \"2625\"", "target": "2625", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1750, 9625), 'lcm', 75)", "intermediate": "875", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 520 and 780, then apply lcm to the result and 35.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"260\"\nresult = \"1820\"", "target": "1820", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (520, 780), 'lcm', 35)", "intermediate": "260", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 964 and 1446, then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"482\"\nresult = \"2410\"", "target": "2410", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (964, 1446), 'lcm', 5)", "intermediate": "482", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2880 and 5280, then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"480\"\nresult = \"8160\"", "target": "8160", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2880, 5280), 'lcm', 17)", "intermediate": "480", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4986 and 5817, then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"831\"\nresult = \"6648\"", "target": "6648", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4986, 5817), 'lcm', 8)", "intermediate": "831", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2450 and 3150, then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"350\"\nresult = \"700\"", "target": "700", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2450, 3150), 'lcm', 28)", "intermediate": "350", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 4815 and 10593, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"963\"\nresult = \"9630\"", "target": "9630", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (4815, 10593), 'lcm', 10)", "intermediate": "963", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 2064 and 2322, then apply lcm to the result and 34.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"258\"\nresult = \"4386\"", "target": "4386", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (2064, 2322), 'lcm', 34)", "intermediate": "258", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1596 and 7182, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"798\"\nresult = \"3990\"", "target": "3990", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1596, 7182), 'lcm', 10)", "intermediate": "798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply gcf to 1029 and 2401, then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"343\"\nresult = \"3430\"", "target": "3430", "fn_f": "lcm", "fn_g": "gcf", "fn_chain": "lcm|gcf", "input_str": "('mm', 'gcf', (1029, 2401), 'lcm', 10)", "intermediate": "343", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=900, |B|=2311, |A∩B|=23 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3188\"\nresult = \"9564\"", "target": "9564", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (900, 2311, 23), 'multiply', 3)", "intermediate": "3188", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3545, |B|=464, |A∩B|=30 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3979\"\nresult = \"7958\"", "target": "7958", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3545, 464, 30), 'multiply', 2)", "intermediate": "3979", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=316, |B|=166, |A∩B|=98 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"384\"\nresult = \"1920\"", "target": "1920", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (316, 166, 98), 'multiply', 5)", "intermediate": "384", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4769, |B|=203, |A∩B|=51 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4921\"\nresult = \"9842\"", "target": "9842", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4769, 203, 51), 'multiply', 2)", "intermediate": "4921", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2764, |B|=1711, |A∩B|=179 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4296\"\nresult = \"8592\"", "target": "8592", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2764, 1711, 179), 'multiply', 2)", "intermediate": "4296", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4320, |B|=386, |A∩B|=111 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4595\"\nresult = \"9190\"", "target": "9190", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4320, 386, 111), 'multiply', 2)", "intermediate": "4595", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=851, |B|=3592, |A∩B|=46 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4397\"\nresult = \"8794\"", "target": "8794", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (851, 3592, 46), 'multiply', 2)", "intermediate": "4397", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=886, |B|=2718, |A∩B|=110 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3494\"\nresult = \"6988\"", "target": "6988", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (886, 2718, 110), 'multiply', 2)", "intermediate": "3494", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=327, |B|=3585, |A∩B|=38 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3874\"\nresult = \"7748\"", "target": "7748", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (327, 3585, 38), 'multiply', 2)", "intermediate": "3874", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4256, |B|=493, |A∩B|=37 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4712\"\nresult = \"9424\"", "target": "9424", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4256, 493, 37), 'multiply', 2)", "intermediate": "4712", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=247, |B|=342, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"431\"\nresult = \"1724\"", "target": "1724", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (247, 342, 158), 'multiply', 4)", "intermediate": "431", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3552, |B|=1390, |A∩B|=76 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4866\"\nresult = \"9732\"", "target": "9732", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3552, 1390, 76), 'multiply', 2)", "intermediate": "4866", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2651, |B|=1163, |A∩B|=146 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3668\"\nresult = \"7336\"", "target": "7336", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2651, 1163, 146), 'multiply', 2)", "intermediate": "3668", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3394, |B|=363, |A∩B|=34 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3723\"\nresult = \"7446\"", "target": "7446", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3394, 363, 34), 'multiply', 2)", "intermediate": "3723", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=259, |B|=2221, |A∩B|=63 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2417\"\nresult = \"7251\"", "target": "7251", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (259, 2221, 63), 'multiply', 3)", "intermediate": "2417", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2053, |B|=1313, |A∩B|=180 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3186\"\nresult = \"6372\"", "target": "6372", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2053, 1313, 180), 'multiply', 2)", "intermediate": "3186", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1835, |B|=2256, |A∩B|=76 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4015\"\nresult = \"8030\"", "target": "8030", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1835, 2256, 76), 'multiply', 2)", "intermediate": "4015", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=181, |B|=497, |A∩B|=53 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"625\"\nresult = \"1875\"", "target": "1875", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (181, 497, 53), 'multiply', 3)", "intermediate": "625", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=579, |B|=1632, |A∩B|=195 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2016\"\nresult = \"8064\"", "target": "8064", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (579, 1632, 195), 'multiply', 4)", "intermediate": "2016", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=378, |B|=904, |A∩B|=76 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1206\"\nresult = \"9648\"", "target": "9648", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (378, 904, 76), 'multiply', 8)", "intermediate": "1206", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=758, |B|=2478, |A∩B|=73 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3163\"\nresult = \"9489\"", "target": "9489", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (758, 2478, 73), 'multiply', 3)", "intermediate": "3163", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1583, |B|=1639, |A∩B|=97 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3125\"\nresult = \"9375\"", "target": "9375", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1583, 1639, 97), 'multiply', 3)", "intermediate": "3125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2049, |B|=2252, |A∩B|=137 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4164\"\nresult = \"8328\"", "target": "8328", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2049, 2252, 137), 'multiply', 2)", "intermediate": "4164", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1570, |B|=2318, |A∩B|=116 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3772\"\nresult = \"7544\"", "target": "7544", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1570, 2318, 116), 'multiply', 2)", "intermediate": "3772", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1429, |B|=956, |A∩B|=126 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2259\"\nresult = \"4518\"", "target": "4518", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1429, 956, 126), 'multiply', 2)", "intermediate": "2259", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2057, |B|=2856, |A∩B|=176 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4737\"\nresult = \"9474\"", "target": "9474", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2057, 2856, 176), 'multiply', 2)", "intermediate": "4737", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=710, |B|=1013, |A∩B|=179 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1544\"\nresult = \"9264\"", "target": "9264", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (710, 1013, 179), 'multiply', 6)", "intermediate": "1544", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=692, |B|=404, |A∩B|=86 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1010\"\nresult = \"2020\"", "target": "2020", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (692, 404, 86), 'multiply', 2)", "intermediate": "1010", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=568, |B|=193, |A∩B|=152 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"609\"\nresult = \"2436\"", "target": "2436", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (568, 193, 152), 'multiply', 4)", "intermediate": "609", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=179, |B|=277, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"367\"\nresult = \"7707\"", "target": "7707", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (179, 277, 89), 'multiply', 21)", "intermediate": "367", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=456, |B|=2293, |A∩B|=40 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2709\"\nresult = \"8127\"", "target": "8127", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (456, 2293, 40), 'multiply', 3)", "intermediate": "2709", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=913, |B|=614, |A∩B|=159 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1368\"\nresult = \"4104\"", "target": "4104", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (913, 614, 159), 'multiply', 3)", "intermediate": "1368", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=424, |B|=1961, |A∩B|=43 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2342\"\nresult = \"9368\"", "target": "9368", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (424, 1961, 43), 'multiply', 4)", "intermediate": "2342", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4596, |B|=196, |A∩B|=75 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4717\"\nresult = \"9434\"", "target": "9434", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4596, 196, 75), 'multiply', 2)", "intermediate": "4717", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=670, |B|=66, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"697\"\nresult = \"1394\"", "target": "1394", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (670, 66, 39), 'multiply', 2)", "intermediate": "697", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2126, |B|=710, |A∩B|=62 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2774\"\nresult = \"5548\"", "target": "5548", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2126, 710, 62), 'multiply', 2)", "intermediate": "2774", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=422, |B|=1881, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2264\"\nresult = \"9056\"", "target": "9056", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (422, 1881, 39), 'multiply', 4)", "intermediate": "2264", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=124, |B|=1075, |A∩B|=94 (compute |A∪B|), then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1105\"\nresult = \"9945\"", "target": "9945", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (124, 1075, 94), 'multiply', 9)", "intermediate": "1105", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1277, |B|=1306, |A∩B|=113 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2470\"\nresult = \"7410\"", "target": "7410", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1277, 1306, 113), 'multiply', 3)", "intermediate": "2470", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=682, |B|=1695, |A∩B|=34 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2343\"\nresult = \"7029\"", "target": "7029", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (682, 1695, 34), 'multiply', 3)", "intermediate": "2343", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2144, |B|=1562, |A∩B|=30 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3676\"\nresult = \"7352\"", "target": "7352", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2144, 1562, 30), 'multiply', 2)", "intermediate": "3676", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=61, |B|=111, |A∩B|=56 (compute |A∪B|), then apply multiply to the result and 79.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"116\"\nresult = \"9164\"", "target": "9164", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (61, 111, 56), 'multiply', 79)", "intermediate": "116", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1084, |B|=296, |A∩B|=107 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1273\"\nresult = \"2546\"", "target": "2546", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1084, 296, 107), 'multiply', 2)", "intermediate": "1273", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1066, |B|=1113, |A∩B|=144 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2035\"\nresult = \"6105\"", "target": "6105", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1066, 1113, 144), 'multiply', 3)", "intermediate": "2035", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2479, |B|=1766, |A∩B|=32 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4213\"\nresult = \"8426\"", "target": "8426", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2479, 1766, 32), 'multiply', 2)", "intermediate": "4213", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=732, |B|=2037, |A∩B|=98 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2671\"\nresult = \"8013\"", "target": "8013", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (732, 2037, 98), 'multiply', 3)", "intermediate": "2671", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1009, |B|=2536, |A∩B|=37 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3508\"\nresult = \"7016\"", "target": "7016", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1009, 2536, 37), 'multiply', 2)", "intermediate": "3508", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=650, |B|=293, |A∩B|=53 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"890\"\nresult = \"7120\"", "target": "7120", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (650, 293, 53), 'multiply', 8)", "intermediate": "890", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1088, |B|=3303, |A∩B|=23 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4368\"\nresult = \"8736\"", "target": "8736", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1088, 3303, 23), 'multiply', 2)", "intermediate": "4368", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=503, |B|=425, |A∩B|=181 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"747\"\nresult = \"4482\"", "target": "4482", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (503, 425, 181), 'multiply', 6)", "intermediate": "747", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=654, |B|=3918, |A∩B|=31 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4541\"\nresult = \"9082\"", "target": "9082", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (654, 3918, 31), 'multiply', 2)", "intermediate": "4541", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=935, |B|=87, |A∩B|=48 (compute |A∪B|), then apply multiply to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974\"\nresult = \"9740\"", "target": "9740", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (935, 87, 48), 'multiply', 10)", "intermediate": "974", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=973, |B|=4037, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4982\"\nresult = \"9964\"", "target": "9964", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (973, 4037, 28), 'multiply', 2)", "intermediate": "4982", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=125, |B|=486, |A∩B|=38 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"573\"\nresult = \"4584\"", "target": "4584", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (125, 486, 38), 'multiply', 8)", "intermediate": "573", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=631, |B|=153, |A∩B|=143 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"641\"\nresult = \"2564\"", "target": "2564", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (631, 153, 143), 'multiply', 4)", "intermediate": "641", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1279, |B|=2233, |A∩B|=179 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3333\"\nresult = \"6666\"", "target": "6666", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1279, 2233, 179), 'multiply', 2)", "intermediate": "3333", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1700, |B|=1763, |A∩B|=198 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3265\"\nresult = \"6530\"", "target": "6530", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1700, 1763, 198), 'multiply', 2)", "intermediate": "3265", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=355, |B|=274, |A∩B|=40 (compute |A∪B|), then apply multiply to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"589\"\nresult = \"7657\"", "target": "7657", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (355, 274, 40), 'multiply', 13)", "intermediate": "589", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3504, |B|=878, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4224\"\nresult = \"8448\"", "target": "8448", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3504, 878, 158), 'multiply', 2)", "intermediate": "4224", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1069, |B|=508, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1538\"\nresult = \"7690\"", "target": "7690", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1069, 508, 39), 'multiply', 5)", "intermediate": "1538", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=202, |B|=839, |A∩B|=134 (compute |A∪B|), then apply multiply to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"907\"\nresult = \"9977\"", "target": "9977", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (202, 839, 134), 'multiply', 11)", "intermediate": "907", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=489, |B|=1538, |A∩B|=117 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1910\"\nresult = \"5730\"", "target": "5730", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (489, 1538, 117), 'multiply', 3)", "intermediate": "1910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2374, |B|=1903, |A∩B|=69 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4208\"\nresult = \"8416\"", "target": "8416", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2374, 1903, 69), 'multiply', 2)", "intermediate": "4208", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1022, |B|=2777, |A∩B|=197 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3602\"\nresult = \"7204\"", "target": "7204", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1022, 2777, 197), 'multiply', 2)", "intermediate": "3602", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=688, |B|=3322, |A∩B|=121 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3889\"\nresult = \"7778\"", "target": "7778", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (688, 3322, 121), 'multiply', 2)", "intermediate": "3889", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1970, |B|=189, |A∩B|=108 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2051\"\nresult = \"4102\"", "target": "4102", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1970, 189, 108), 'multiply', 2)", "intermediate": "2051", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=208, |B|=1344, |A∩B|=128 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1424\"\nresult = \"5696\"", "target": "5696", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (208, 1344, 128), 'multiply', 4)", "intermediate": "1424", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1147, |B|=3139, |A∩B|=199 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4087\"\nresult = \"8174\"", "target": "8174", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1147, 3139, 199), 'multiply', 2)", "intermediate": "4087", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1834, |B|=1141, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2886\"\nresult = \"8658\"", "target": "8658", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1834, 1141, 89), 'multiply', 3)", "intermediate": "2886", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=876, |B|=2205, |A∩B|=34 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3047\"\nresult = \"9141\"", "target": "9141", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (876, 2205, 34), 'multiply', 3)", "intermediate": "3047", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2132, |B|=1897, |A∩B|=32 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3997\"\nresult = \"7994\"", "target": "7994", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2132, 1897, 32), 'multiply', 2)", "intermediate": "3997", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=607, |B|=470, |A∩B|=49 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1028\"\nresult = \"8224\"", "target": "8224", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (607, 470, 49), 'multiply', 8)", "intermediate": "1028", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=777, |B|=1641, |A∩B|=179 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2239\"\nresult = \"8956\"", "target": "8956", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (777, 1641, 179), 'multiply', 4)", "intermediate": "2239", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=219, |B|=167, |A∩B|=111 (compute |A∪B|), then apply multiply to the result and 29.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"275\"\nresult = \"7975\"", "target": "7975", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (219, 167, 111), 'multiply', 29)", "intermediate": "275", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=229, |B|=2076, |A∩B|=100 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2205\"\nresult = \"4410\"", "target": "4410", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (229, 2076, 100), 'multiply', 2)", "intermediate": "2205", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2046, |B|=1725, |A∩B|=146 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3625\"\nresult = \"7250\"", "target": "7250", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2046, 1725, 146), 'multiply', 2)", "intermediate": "3625", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=300, |B|=291, |A∩B|=163 (compute |A∪B|), then apply multiply to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428\"\nresult = \"5992\"", "target": "5992", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (300, 291, 163), 'multiply', 14)", "intermediate": "428", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=129, |B|=165, |A∩B|=128 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"166\"\nresult = \"996\"", "target": "996", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (129, 165, 128), 'multiply', 6)", "intermediate": "166", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=365, |B|=2520, |A∩B|=75 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2810\"\nresult = \"5620\"", "target": "5620", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (365, 2520, 75), 'multiply', 2)", "intermediate": "2810", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=38, |B|=135, |A∩B|=33 (compute |A∪B|), then apply multiply to the result and 64.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"140\"\nresult = \"8960\"", "target": "8960", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (38, 135, 33), 'multiply', 64)", "intermediate": "140", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=203, |B|=360, |A∩B|=171 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"392\"\nresult = \"1960\"", "target": "1960", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (203, 360, 171), 'multiply', 5)", "intermediate": "392", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=950, |B|=3441, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4302\"\nresult = \"8604\"", "target": "8604", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (950, 3441, 89), 'multiply', 2)", "intermediate": "4302", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1926, |B|=2320, |A∩B|=164 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4082\"\nresult = \"8164\"", "target": "8164", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1926, 2320, 164), 'multiply', 2)", "intermediate": "4082", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1453, |B|=3688, |A∩B|=167 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4974\"\nresult = \"9948\"", "target": "9948", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1453, 3688, 167), 'multiply', 2)", "intermediate": "4974", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1561, |B|=729, |A∩B|=24 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2266\"\nresult = \"6798\"", "target": "6798", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1561, 729, 24), 'multiply', 3)", "intermediate": "2266", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=339, |B|=306, |A∩B|=149 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"496\"\nresult = \"2976\"", "target": "2976", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (339, 306, 149), 'multiply', 6)", "intermediate": "496", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=490, |B|=694, |A∩B|=141 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1043\"\nresult = \"6258\"", "target": "6258", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (490, 694, 141), 'multiply', 6)", "intermediate": "1043", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=95, |B|=168, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"235\"\nresult = \"8930\"", "target": "8930", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (95, 168, 28), 'multiply', 38)", "intermediate": "235", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4514, |B|=193, |A∩B|=132 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4575\"\nresult = \"9150\"", "target": "9150", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4514, 193, 132), 'multiply', 2)", "intermediate": "4575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2535, |B|=521, |A∩B|=129 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2927\"\nresult = \"5854\"", "target": "5854", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2535, 521, 129), 'multiply', 2)", "intermediate": "2927", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=880, |B|=3450, |A∩B|=45 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4285\"\nresult = \"8570\"", "target": "8570", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (880, 3450, 45), 'multiply', 2)", "intermediate": "4285", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1890, |B|=221, |A∩B|=172 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1939\"\nresult = \"7756\"", "target": "7756", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1890, 221, 172), 'multiply', 4)", "intermediate": "1939", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1105, |B|=3364, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4441\"\nresult = \"8882\"", "target": "8882", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1105, 3364, 28), 'multiply', 2)", "intermediate": "4441", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1192, |B|=188, |A∩B|=107 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1273\"\nresult = \"5092\"", "target": "5092", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1192, 188, 107), 'multiply', 4)", "intermediate": "1273", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1961, |B|=610, |A∩B|=198 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2373\"\nresult = \"9492\"", "target": "9492", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1961, 610, 198), 'multiply', 4)", "intermediate": "2373", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3808, |B|=420, |A∩B|=50 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4178\"\nresult = \"8356\"", "target": "8356", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3808, 420, 50), 'multiply', 2)", "intermediate": "4178", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=300, |B|=2892, |A∩B|=197 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2995\"\nresult = \"5990\"", "target": "5990", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (300, 2892, 197), 'multiply', 2)", "intermediate": "2995", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3466, |B|=211, |A∩B|=176 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3501\"\nresult = \"7002\"", "target": "7002", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3466, 211, 176), 'multiply', 2)", "intermediate": "3501", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1692, |B|=391, |A∩B|=109 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1974\"\nresult = \"7896\"", "target": "7896", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1692, 391, 109), 'multiply', 4)", "intermediate": "1974", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=949, |B|=240, |A∩B|=122 (compute |A∪B|), then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1067\"\nresult = \"7469\"", "target": "7469", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (949, 240, 122), 'multiply', 7)", "intermediate": "1067", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=443, |B|=2245, |A∩B|=25 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2663\"\nresult = \"5326\"", "target": "5326", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (443, 2245, 25), 'multiply', 2)", "intermediate": "2663", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=401, |B|=185, |A∩B|=179 (compute |A∪B|), then apply multiply to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"407\"\nresult = \"6105\"", "target": "6105", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (401, 185, 179), 'multiply', 15)", "intermediate": "407", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3487, |B|=790, |A∩B|=167 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4110\"\nresult = \"8220\"", "target": "8220", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3487, 790, 167), 'multiply', 2)", "intermediate": "4110", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=286, |B|=4501, |A∩B|=56 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4731\"\nresult = \"9462\"", "target": "9462", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (286, 4501, 56), 'multiply', 2)", "intermediate": "4731", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4469, |B|=325, |A∩B|=26 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4768\"\nresult = \"9536\"", "target": "9536", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4469, 325, 26), 'multiply', 2)", "intermediate": "4768", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1025, |B|=2202, |A∩B|=94 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3133\"\nresult = \"9399\"", "target": "9399", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1025, 2202, 94), 'multiply', 3)", "intermediate": "3133", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=91, |B|=431, |A∩B|=76 (compute |A∪B|), then apply multiply to the result and 16.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"446\"\nresult = \"7136\"", "target": "7136", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (91, 431, 76), 'multiply', 16)", "intermediate": "446", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1926, |B|=1662, |A∩B|=157 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3431\"\nresult = \"6862\"", "target": "6862", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1926, 1662, 157), 'multiply', 2)", "intermediate": "3431", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=884, |B|=3614, |A∩B|=169 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4329\"\nresult = \"8658\"", "target": "8658", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (884, 3614, 169), 'multiply', 2)", "intermediate": "4329", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2486, |B|=1766, |A∩B|=128 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4124\"\nresult = \"8248\"", "target": "8248", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2486, 1766, 128), 'multiply', 2)", "intermediate": "4124", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3119, |B|=702, |A∩B|=104 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3717\"\nresult = \"7434\"", "target": "7434", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3119, 702, 104), 'multiply', 2)", "intermediate": "3717", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1653, |B|=804, |A∩B|=76 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2381\"\nresult = \"9524\"", "target": "9524", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1653, 804, 76), 'multiply', 4)", "intermediate": "2381", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=151, |B|=263, |A∩B|=107 (compute |A∪B|), then apply multiply to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"307\"\nresult = \"8596\"", "target": "8596", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (151, 263, 107), 'multiply', 28)", "intermediate": "307", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1655, |B|=611, |A∩B|=32 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2234\"\nresult = \"4468\"", "target": "4468", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1655, 611, 32), 'multiply', 2)", "intermediate": "2234", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=237, |B|=2819, |A∩B|=175 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2881\"\nresult = \"5762\"", "target": "5762", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (237, 2819, 175), 'multiply', 2)", "intermediate": "2881", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=164, |B|=739, |A∩B|=47 (compute |A∪B|), then apply multiply to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"856\"\nresult = \"9416\"", "target": "9416", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (164, 739, 47), 'multiply', 11)", "intermediate": "856", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1636, |B|=2517, |A∩B|=190 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3963\"\nresult = \"7926\"", "target": "7926", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1636, 2517, 190), 'multiply', 2)", "intermediate": "3963", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3995, |B|=227, |A∩B|=41 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4181\"\nresult = \"8362\"", "target": "8362", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3995, 227, 41), 'multiply', 2)", "intermediate": "4181", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1280, |B|=2010, |A∩B|=187 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3103\"\nresult = \"6206\"", "target": "6206", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1280, 2010, 187), 'multiply', 2)", "intermediate": "3103", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=622, |B|=2355, |A∩B|=70 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2907\"\nresult = \"5814\"", "target": "5814", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (622, 2355, 70), 'multiply', 2)", "intermediate": "2907", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=638, |B|=960, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1440\"\nresult = \"7200\"", "target": "7200", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (638, 960, 158), 'multiply', 5)", "intermediate": "1440", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=932, |B|=1820, |A∩B|=77 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2675\"\nresult = \"5350\"", "target": "5350", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (932, 1820, 77), 'multiply', 2)", "intermediate": "2675", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1336, |B|=912, |A∩B|=49 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2199\"\nresult = \"6597\"", "target": "6597", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1336, 912, 49), 'multiply', 3)", "intermediate": "2199", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2164, |B|=1677, |A∩B|=190 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3651\"\nresult = \"7302\"", "target": "7302", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2164, 1677, 190), 'multiply', 2)", "intermediate": "3651", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=366, |B|=4551, |A∩B|=167 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4750\"\nresult = \"9500\"", "target": "9500", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (366, 4551, 167), 'multiply', 2)", "intermediate": "4750", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1048, |B|=1530, |A∩B|=135 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2443\"\nresult = \"4886\"", "target": "4886", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1048, 1530, 135), 'multiply', 2)", "intermediate": "2443", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=228, |B|=101, |A∩B|=48 (compute |A∪B|), then apply multiply to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"281\"\nresult = \"4777\"", "target": "4777", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (228, 101, 48), 'multiply', 17)", "intermediate": "281", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=438, |B|=174, |A∩B|=120 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"492\"\nresult = \"1968\"", "target": "1968", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (438, 174, 120), 'multiply', 4)", "intermediate": "492", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=883, |B|=455, |A∩B|=46 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1292\"\nresult = \"6460\"", "target": "6460", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (883, 455, 46), 'multiply', 5)", "intermediate": "1292", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=351, |B|=407, |A∩B|=188 (compute |A∪B|), then apply multiply to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"570\"\nresult = \"7980\"", "target": "7980", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (351, 407, 188), 'multiply', 14)", "intermediate": "570", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=688, |B|=780, |A∩B|=178 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1290\"\nresult = \"2580\"", "target": "2580", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (688, 780, 178), 'multiply', 2)", "intermediate": "1290", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=764, |B|=979, |A∩B|=79 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1664\"\nresult = \"6656\"", "target": "6656", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (764, 979, 79), 'multiply', 4)", "intermediate": "1664", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=262, |B|=1054, |A∩B|=183 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1133\"\nresult = \"3399\"", "target": "3399", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (262, 1054, 183), 'multiply', 3)", "intermediate": "1133", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2142, |B|=267, |A∩B|=37 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2372\"\nresult = \"7116\"", "target": "7116", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2142, 267, 37), 'multiply', 3)", "intermediate": "2372", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1204, |B|=161, |A∩B|=49 (compute |A∪B|), then apply multiply to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1316\"\nresult = \"7896\"", "target": "7896", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1204, 161, 49), 'multiply', 6)", "intermediate": "1316", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1312, |B|=638, |A∩B|=110 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1840\"\nresult = \"7360\"", "target": "7360", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1312, 638, 110), 'multiply', 4)", "intermediate": "1840", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=754, |B|=4073, |A∩B|=167 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4660\"\nresult = \"9320\"", "target": "9320", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (754, 4073, 167), 'multiply', 2)", "intermediate": "4660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1073, |B|=269, |A∩B|=134 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1208\"\nresult = \"9664\"", "target": "9664", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1073, 269, 134), 'multiply', 8)", "intermediate": "1208", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2281, |B|=1169, |A∩B|=64 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3386\"\nresult = \"6772\"", "target": "6772", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2281, 1169, 64), 'multiply', 2)", "intermediate": "3386", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2762, |B|=1928, |A∩B|=70 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4620\"\nresult = \"9240\"", "target": "9240", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2762, 1928, 70), 'multiply', 2)", "intermediate": "4620", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=167, |B|=567, |A∩B|=121 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"613\"\nresult = \"3065\"", "target": "3065", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (167, 567, 121), 'multiply', 5)", "intermediate": "613", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=849, |B|=896, |A∩B|=144 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1601\"\nresult = \"4803\"", "target": "4803", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (849, 896, 144), 'multiply', 3)", "intermediate": "1601", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1138, |B|=1029, |A∩B|=60 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2107\"\nresult = \"6321\"", "target": "6321", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1138, 1029, 60), 'multiply', 3)", "intermediate": "2107", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4086, |B|=444, |A∩B|=113 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4417\"\nresult = \"8834\"", "target": "8834", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4086, 444, 113), 'multiply', 2)", "intermediate": "4417", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=81, |B|=1680, |A∩B|=42 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1719\"\nresult = \"6876\"", "target": "6876", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (81, 1680, 42), 'multiply', 4)", "intermediate": "1719", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=241, |B|=1524, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1607\"\nresult = \"3214\"", "target": "3214", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (241, 1524, 158), 'multiply', 2)", "intermediate": "1607", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=170, |B|=1152, |A∩B|=49 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1273\"\nresult = \"2546\"", "target": "2546", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (170, 1152, 49), 'multiply', 2)", "intermediate": "1273", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2640, |B|=1838, |A∩B|=80 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4398\"\nresult = \"8796\"", "target": "8796", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2640, 1838, 80), 'multiply', 2)", "intermediate": "4398", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=623, |B|=834, |A∩B|=20 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1437\"\nresult = \"2874\"", "target": "2874", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (623, 834, 20), 'multiply', 2)", "intermediate": "1437", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1800, |B|=438, |A∩B|=166 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2072\"\nresult = \"8288\"", "target": "8288", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1800, 438, 166), 'multiply', 4)", "intermediate": "2072", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=727, |B|=1755, |A∩B|=125 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2357\"\nresult = \"7071\"", "target": "7071", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (727, 1755, 125), 'multiply', 3)", "intermediate": "2357", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=876, |B|=2411, |A∩B|=163 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3124\"\nresult = \"9372\"", "target": "9372", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (876, 2411, 163), 'multiply', 3)", "intermediate": "3124", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2598, |B|=1232, |A∩B|=177 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3653\"\nresult = \"7306\"", "target": "7306", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2598, 1232, 177), 'multiply', 2)", "intermediate": "3653", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=641, |B|=2048, |A∩B|=81 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2608\"\nresult = \"7824\"", "target": "7824", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (641, 2048, 81), 'multiply', 3)", "intermediate": "2608", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2651, |B|=417, |A∩B|=146 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2922\"\nresult = \"5844\"", "target": "5844", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2651, 417, 146), 'multiply', 2)", "intermediate": "2922", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1290, |B|=3466, |A∩B|=196 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4560\"\nresult = \"9120\"", "target": "9120", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1290, 3466, 196), 'multiply', 2)", "intermediate": "4560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3601, |B|=1124, |A∩B|=118 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4607\"\nresult = \"9214\"", "target": "9214", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3601, 1124, 118), 'multiply', 2)", "intermediate": "4607", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=436, |B|=2768, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3176\"\nresult = \"6352\"", "target": "6352", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (436, 2768, 28), 'multiply', 2)", "intermediate": "3176", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1407, |B|=581, |A∩B|=166 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1822\"\nresult = \"3644\"", "target": "3644", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1407, 581, 166), 'multiply', 2)", "intermediate": "1822", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1063, |B|=1735, |A∩B|=105 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2693\"\nresult = \"5386\"", "target": "5386", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1063, 1735, 105), 'multiply', 2)", "intermediate": "2693", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4203, |B|=469, |A∩B|=37 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4635\"\nresult = \"9270\"", "target": "9270", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4203, 469, 37), 'multiply', 2)", "intermediate": "4635", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=191, |B|=189, |A∩B|=83 (compute |A∪B|), then apply multiply to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"297\"\nresult = \"9504\"", "target": "9504", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (191, 189, 83), 'multiply', 32)", "intermediate": "297", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1486, |B|=2335, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3728\"\nresult = \"7456\"", "target": "7456", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1486, 2335, 93), 'multiply', 2)", "intermediate": "3728", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=104, |B|=657, |A∩B|=21 (compute |A∪B|), then apply multiply to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"740\"\nresult = \"7400\"", "target": "7400", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (104, 657, 21), 'multiply', 10)", "intermediate": "740", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=854, |B|=1843, |A∩B|=103 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2594\"\nresult = \"5188\"", "target": "5188", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (854, 1843, 103), 'multiply', 2)", "intermediate": "2594", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2076, |B|=534, |A∩B|=26 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2584\"\nresult = \"7752\"", "target": "7752", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2076, 534, 26), 'multiply', 3)", "intermediate": "2584", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=894, |B|=1556, |A∩B|=97 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2353\"\nresult = \"9412\"", "target": "9412", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (894, 1556, 97), 'multiply', 4)", "intermediate": "2353", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1092, |B|=1265, |A∩B|=45 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2312\"\nresult = \"4624\"", "target": "4624", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1092, 1265, 45), 'multiply', 2)", "intermediate": "2312", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2091, |B|=1095, |A∩B|=78 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3108\"\nresult = \"9324\"", "target": "9324", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2091, 1095, 78), 'multiply', 3)", "intermediate": "3108", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=368, |B|=333, |A∩B|=28 (compute |A∪B|), then apply multiply to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"673\"\nresult = \"5384\"", "target": "5384", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (368, 333, 28), 'multiply', 8)", "intermediate": "673", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3114, |B|=660, |A∩B|=39 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3735\"\nresult = \"7470\"", "target": "7470", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3114, 660, 39), 'multiply', 2)", "intermediate": "3735", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=68, |B|=206, |A∩B|=61 (compute |A∪B|), then apply multiply to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"213\"\nresult = \"5751\"", "target": "5751", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (68, 206, 61), 'multiply', 27)", "intermediate": "213", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=390, |B|=3680, |A∩B|=100 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3970\"\nresult = \"7940\"", "target": "7940", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (390, 3680, 100), 'multiply', 2)", "intermediate": "3970", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1458, |B|=298, |A∩B|=64 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1692\"\nresult = \"6768\"", "target": "6768", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1458, 298, 64), 'multiply', 4)", "intermediate": "1692", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2223, |B|=1241, |A∩B|=66 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3398\"\nresult = \"6796\"", "target": "6796", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2223, 1241, 66), 'multiply', 2)", "intermediate": "3398", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=539, |B|=2439, |A∩B|=181 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2797\"\nresult = \"5594\"", "target": "5594", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (539, 2439, 181), 'multiply', 2)", "intermediate": "2797", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=793, |B|=1346, |A∩B|=152 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1987\"\nresult = \"9935\"", "target": "9935", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (793, 1346, 152), 'multiply', 5)", "intermediate": "1987", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=366, |B|=842, |A∩B|=24 (compute |A∪B|), then apply multiply to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1184\"\nresult = \"8288\"", "target": "8288", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (366, 842, 24), 'multiply', 7)", "intermediate": "1184", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1563, |B|=2316, |A∩B|=74 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3805\"\nresult = \"7610\"", "target": "7610", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1563, 2316, 74), 'multiply', 2)", "intermediate": "3805", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1186, |B|=1506, |A∩B|=20 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2672\"\nresult = \"5344\"", "target": "5344", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1186, 1506, 20), 'multiply', 2)", "intermediate": "2672", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1654, |B|=1644, |A∩B|=118 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3180\"\nresult = \"6360\"", "target": "6360", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1654, 1644, 118), 'multiply', 2)", "intermediate": "3180", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=160, |B|=753, |A∩B|=155 (compute |A∪B|), then apply multiply to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"758\"\nresult = \"9854\"", "target": "9854", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (160, 753, 155), 'multiply', 13)", "intermediate": "758", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2219, |B|=2373, |A∩B|=191 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4401\"\nresult = \"8802\"", "target": "8802", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2219, 2373, 191), 'multiply', 2)", "intermediate": "4401", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4630, |B|=543, |A∩B|=193 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4980\"\nresult = \"9960\"", "target": "9960", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4630, 543, 193), 'multiply', 2)", "intermediate": "4980", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1309, |B|=1509, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2729\"\nresult = \"8187\"", "target": "8187", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1309, 1509, 89), 'multiply', 3)", "intermediate": "2729", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1422, |B|=3473, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4762\"\nresult = \"9524\"", "target": "9524", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1422, 3473, 133), 'multiply', 2)", "intermediate": "4762", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3688, |B|=970, |A∩B|=157 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4501\"\nresult = \"9002\"", "target": "9002", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3688, 970, 157), 'multiply', 2)", "intermediate": "4501", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4425, |B|=656, |A∩B|=156 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4925\"\nresult = \"9850\"", "target": "9850", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (4425, 656, 156), 'multiply', 2)", "intermediate": "4925", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=804, |B|=2965, |A∩B|=183 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3586\"\nresult = \"7172\"", "target": "7172", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (804, 2965, 183), 'multiply', 2)", "intermediate": "3586", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2766, |B|=1958, |A∩B|=130 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4594\"\nresult = \"9188\"", "target": "9188", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (2766, 1958, 130), 'multiply', 2)", "intermediate": "4594", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=459, |B|=774, |A∩B|=87 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1146\"\nresult = \"5730\"", "target": "5730", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (459, 774, 87), 'multiply', 5)", "intermediate": "1146", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=125, |B|=171, |A∩B|=123 (compute |A∪B|), then apply multiply to the result and 47.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"173\"\nresult = \"8131\"", "target": "8131", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (125, 171, 123), 'multiply', 47)", "intermediate": "173", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3444, |B|=930, |A∩B|=89 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4285\"\nresult = \"8570\"", "target": "8570", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (3444, 930, 89), 'multiply', 2)", "intermediate": "4285", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1192, |B|=97, |A∩B|=93 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1196\"\nresult = \"5980\"", "target": "5980", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1192, 97, 93), 'multiply', 5)", "intermediate": "1196", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=848, |B|=1587, |A∩B|=133 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2302\"\nresult = \"4604\"", "target": "4604", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (848, 1587, 133), 'multiply', 2)", "intermediate": "2302", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=331, |B|=525, |A∩B|=158 (compute |A∪B|), then apply multiply to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698\"\nresult = \"6282\"", "target": "6282", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (331, 525, 158), 'multiply', 9)", "intermediate": "698", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=97, |B|=122, |A∩B|=72 (compute |A∪B|), then apply multiply to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"147\"\nresult = \"3234\"", "target": "3234", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (97, 122, 72), 'multiply', 22)", "intermediate": "147", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=352, |B|=1025, |A∩B|=195 (compute |A∪B|), then apply multiply to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1182\"\nresult = \"4728\"", "target": "4728", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (352, 1025, 195), 'multiply', 4)", "intermediate": "1182", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1237, |B|=1682, |A∩B|=47 (compute |A∪B|), then apply multiply to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2872\"\nresult = \"5744\"", "target": "5744", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1237, 1682, 47), 'multiply', 2)", "intermediate": "2872", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1791, |B|=100, |A∩B|=88 (compute |A∪B|), then apply multiply to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1803\"\nresult = \"9015\"", "target": "9015", "fn_f": "multiply", "fn_g": "venn", "fn_chain": "multiply|venn", "input_str": "('mm', 'venn', (1791, 100, 88), 'multiply', 5)", "intermediate": "1803", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1171, |B|=832, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 18200.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1950\"\nresult = \"650\"", "target": "650", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1171, 832, 53), 'gcf', 18200)", "intermediate": "1950", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=666, |B|=2963, |A∩B|=74 (compute |A∪B|), then apply gcf to the result and 9954.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3555\"\nresult = \"711\"", "target": "711", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (666, 2963, 74), 'gcf', 9954)", "intermediate": "3555", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1695, |B|=1728, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 11037.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3396\"\nresult = \"849\"", "target": "849", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1695, 1728, 27), 'gcf', 11037)", "intermediate": "3396", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4588, |B|=3962, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 27990.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8397\"\nresult = \"2799\"", "target": "2799", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4588, 3962, 153), 'gcf', 27990)", "intermediate": "8397", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3182, |B|=218, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 6140.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3377\"\nresult = \"307\"", "target": "307", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3182, 218, 23), 'gcf', 6140)", "intermediate": "3377", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4303, |B|=98, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 22428.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4361\"\nresult = \"623\"", "target": "623", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4303, 98, 40), 'gcf', 22428)", "intermediate": "4361", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3470, |B|=1250, |A∩B|=51 (compute |A∪B|), then apply gcf to the result and 5075.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4669\"\nresult = \"203\"", "target": "203", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3470, 1250, 51), 'gcf', 5075)", "intermediate": "4669", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=908, |B|=354, |A∩B|=28 (compute |A∪B|), then apply gcf to the result and 20361.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1234\"\nresult = \"617\"", "target": "617", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (908, 354, 28), 'gcf', 20361)", "intermediate": "1234", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4250, |B|=186, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 4064.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4318\"\nresult = \"254\"", "target": "254", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4250, 186, 118), 'gcf', 4064)", "intermediate": "4318", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2505, |B|=518, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 2193.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2924\"\nresult = \"731\"", "target": "731", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2505, 518, 99), 'gcf', 2193)", "intermediate": "2924", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1817, |B|=171, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 2893.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1841\"\nresult = \"263\"", "target": "263", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1817, 171, 147), 'gcf', 2893)", "intermediate": "1841", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1841, |B|=6579, |A∩B|=153 (compute |A∪B|), then apply gcf to the result and 42516.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8267\"\nresult = \"1181\"", "target": "1181", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1841, 6579, 153), 'gcf', 42516)", "intermediate": "8267", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3660, |B|=3949, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 63274.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7444\"\nresult = \"3722\"", "target": "3722", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3660, 3949, 165), 'gcf', 63274)", "intermediate": "7444", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=217, |B|=3753, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 71965.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3890\"\nresult = \"1945\"", "target": "1945", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (217, 3753, 80), 'gcf', 71965)", "intermediate": "3890", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1259, |B|=3107, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 4526.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4234\"\nresult = \"146\"", "target": "146", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1259, 3107, 132), 'gcf', 4526)", "intermediate": "4234", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3140, |B|=3140, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 41094.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6088\"\nresult = \"1522\"", "target": "1522", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3140, 3140, 192), 'gcf', 41094)", "intermediate": "6088", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=583, |B|=2897, |A∩B|=162 (compute |A∪B|), then apply gcf to the result and 16116.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3318\"\nresult = \"474\"", "target": "474", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (583, 2897, 162), 'gcf', 16116)", "intermediate": "3318", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1291, |B|=6172, |A∩B|=38 (compute |A∪B|), then apply gcf to the result and 3645.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7425\"\nresult = \"135\"", "target": "135", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1291, 6172, 38), 'gcf', 3645)", "intermediate": "7425", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=762, |B|=6091, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 21175.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6655\"\nresult = \"605\"", "target": "605", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (762, 6091, 198), 'gcf', 21175)", "intermediate": "6655", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4885, |B|=985, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 66535.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5703\"\nresult = \"1901\"", "target": "1901", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4885, 985, 167), 'gcf', 66535)", "intermediate": "5703", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5321, |B|=282, |A∩B|=44 (compute |A∪B|), then apply gcf to the result and 8829.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5559\"\nresult = \"327\"", "target": "327", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5321, 282, 44), 'gcf', 8829)", "intermediate": "5559", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6082, |B|=1624, |A∩B|=54 (compute |A∪B|), then apply gcf to the result and 51651.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7652\"\nresult = \"1913\"", "target": "1913", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6082, 1624, 54), 'gcf', 51651)", "intermediate": "7652", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=580, |B|=3547, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3069.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4092\"\nresult = \"1023\"", "target": "1023", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (580, 3547, 35), 'gcf', 3069)", "intermediate": "4092", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2005, |B|=5719, |A∩B|=24 (compute |A∪B|), then apply gcf to the result and 525.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7700\"\nresult = \"175\"", "target": "175", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2005, 5719, 24), 'gcf', 525)", "intermediate": "7700", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1099, |B|=4569, |A∩B|=150 (compute |A∪B|), then apply gcf to the result and 4450.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5518\"\nresult = \"178\"", "target": "178", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1099, 4569, 150), 'gcf', 4450)", "intermediate": "5518", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=820, |B|=2744, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 3605.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3399\"\nresult = \"103\"", "target": "103", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (820, 2744, 165), 'gcf', 3605)", "intermediate": "3399", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1548, |B|=1623, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 16094.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3095\"\nresult = \"619\"", "target": "619", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1548, 1623, 76), 'gcf', 16094)", "intermediate": "3095", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2276, |B|=4208, |A∩B|=29 (compute |A∪B|), then apply gcf to the result and 42603.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6455\"\nresult = \"1291\"", "target": "1291", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2276, 4208, 29), 'gcf', 42603)", "intermediate": "6455", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6175, |B|=2359, |A∩B|=77 (compute |A∪B|), then apply gcf to the result and 62018.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8457\"\nresult = \"2819\"", "target": "2819", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6175, 2359, 77), 'gcf', 62018)", "intermediate": "8457", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3135, |B|=1735, |A∩B|=90 (compute |A∪B|), then apply gcf to the result and 44215.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4780\"\nresult = \"1195\"", "target": "1195", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3135, 1735, 90), 'gcf', 44215)", "intermediate": "4780", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2000, |B|=3672, |A∩B|=198 (compute |A∪B|), then apply gcf to the result and 2975.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5474\"\nresult = \"119\"", "target": "119", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2000, 3672, 198), 'gcf', 2975)", "intermediate": "5474", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=197, |B|=9892, |A∩B|=146 (compute |A∪B|), then apply gcf to the result and 4238.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9943\"\nresult = \"163\"", "target": "163", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (197, 9892, 146), 'gcf', 4238)", "intermediate": "9943", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1178, |B|=4289, |A∩B|=155 (compute |A∪B|), then apply gcf to the result and 50464.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5312\"\nresult = \"2656\"", "target": "2656", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1178, 4289, 155), 'gcf', 50464)", "intermediate": "5312", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=288, |B|=1856, |A∩B|=119 (compute |A∪B|), then apply gcf to the result and 13500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2025\"\nresult = \"675\"", "target": "675", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (288, 1856, 119), 'gcf', 13500)", "intermediate": "2025", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4494, |B|=1226, |A∩B|=195 (compute |A∪B|), then apply gcf to the result and 34255.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5525\"\nresult = \"1105\"", "target": "1105", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4494, 1226, 195), 'gcf', 34255)", "intermediate": "5525", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6639, |B|=1333, |A∩B|=117 (compute |A∪B|), then apply gcf to the result and 56556.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7855\"\nresult = \"1571\"", "target": "1571", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6639, 1333, 117), 'gcf', 56556)", "intermediate": "7855", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3642, |B|=6279, |A∩B|=91 (compute |A∪B|), then apply gcf to the result and 93385.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9830\"\nresult = \"4915\"", "target": "4915", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3642, 6279, 91), 'gcf', 93385)", "intermediate": "9830", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=716, |B|=3691, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 3568.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4237\"\nresult = \"223\"", "target": "223", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (716, 3691, 170), 'gcf', 3568)", "intermediate": "4237", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=497, |B|=772, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 14440.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1083\"\nresult = \"361\"", "target": "361", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (497, 772, 186), 'gcf', 14440)", "intermediate": "1083", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=793, |B|=3096, |A∩B|=151 (compute |A∪B|), then apply gcf to the result and 4539.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3738\"\nresult = \"267\"", "target": "267", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (793, 3096, 151), 'gcf', 4539)", "intermediate": "3738", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=859, |B|=474, |A∩B|=95 (compute |A∪B|), then apply gcf to the result and 16713.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1238\"\nresult = \"619\"", "target": "619", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (859, 474, 95), 'gcf', 16713)", "intermediate": "1238", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1722, |B|=3112, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 4242.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4646\"\nresult = \"202\"", "target": "202", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1722, 3112, 188), 'gcf', 4242)", "intermediate": "4646", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2062, |B|=5930, |A∩B|=180 (compute |A∪B|), then apply gcf to the result and 42408.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7812\"\nresult = \"1116\"", "target": "1116", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2062, 5930, 180), 'gcf', 42408)", "intermediate": "7812", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=533, |B|=289, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 895.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"716\"\nresult = \"179\"", "target": "179", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (533, 289, 106), 'gcf', 895)", "intermediate": "716", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=8064, |B|=648, |A∩B|=86 (compute |A∪B|), then apply gcf to the result and 8399.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8626\"\nresult = \"227\"", "target": "227", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (8064, 648, 86), 'gcf', 8399)", "intermediate": "8626", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2326, |B|=5806, |A∩B|=52 (compute |A∪B|), then apply gcf to the result and 10605.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8080\"\nresult = \"505\"", "target": "505", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2326, 5806, 52), 'gcf', 10605)", "intermediate": "8080", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1602, |B|=1703, |A∩B|=23 (compute |A∪B|), then apply gcf to the result and 12581.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3282\"\nresult = \"547\"", "target": "547", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1602, 1703, 23), 'gcf', 12581)", "intermediate": "3282", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2608, |B|=4021, |A∩B|=157 (compute |A∪B|), then apply gcf to the result and 48540.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6472\"\nresult = \"3236\"", "target": "3236", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2608, 4021, 157), 'gcf', 48540)", "intermediate": "6472", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=514, |B|=4987, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3562.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5343\"\nresult = \"1781\"", "target": "1781", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (514, 4987, 158), 'gcf', 3562)", "intermediate": "5343", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=688, |B|=431, |A∩B|=161 (compute |A∪B|), then apply gcf to the result and 17723.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"958\"\nresult = \"479\"", "target": "479", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (688, 431, 161), 'gcf', 17723)", "intermediate": "958", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2298, |B|=909, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 22829.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3085\"\nresult = \"617\"", "target": "617", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2298, 909, 122), 'gcf', 22829)", "intermediate": "3085", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=558, |B|=952, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 27454.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1484\"\nresult = \"742\"", "target": "742", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (558, 952, 26), 'gcf', 27454)", "intermediate": "1484", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1914, |B|=7137, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 9334.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8975\"\nresult = \"359\"", "target": "359", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1914, 7137, 76), 'gcf', 9334)", "intermediate": "8975", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1533, |B|=439, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 5359.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1864\"\nresult = \"233\"", "target": "233", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1533, 439, 108), 'gcf', 5359)", "intermediate": "1864", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=148, |B|=623, |A∩B|=39 (compute |A∪B|), then apply gcf to the result and 4880.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"732\"\nresult = \"244\"", "target": "244", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (148, 623, 39), 'gcf', 4880)", "intermediate": "732", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1731, |B|=521, |A∩B|=148 (compute |A∪B|), then apply gcf to the result and 14202.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2104\"\nresult = \"526\"", "target": "526", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1731, 521, 148), 'gcf', 14202)", "intermediate": "2104", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3668, |B|=4777, |A∩B|=196 (compute |A∪B|), then apply gcf to the result and 4407.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8249\"\nresult = \"113\"", "target": "113", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3668, 4777, 196), 'gcf', 4407)", "intermediate": "8249", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=415, |B|=1572, |A∩B|=104 (compute |A∪B|), then apply gcf to the result and 4842.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1883\"\nresult = \"269\"", "target": "269", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (415, 1572, 104), 'gcf', 4842)", "intermediate": "1883", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1362, |B|=3387, |A∩B|=126 (compute |A∪B|), then apply gcf to the result and 2814.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4623\"\nresult = \"201\"", "target": "201", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1362, 3387, 126), 'gcf', 2814)", "intermediate": "4623", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2754, |B|=1586, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 45760.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4290\"\nresult = \"1430\"", "target": "1430", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2754, 1586, 50), 'gcf', 45760)", "intermediate": "4290", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=349, |B|=263, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 7735.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"442\"\nresult = \"221\"", "target": "221", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (349, 263, 170), 'gcf', 7735)", "intermediate": "442", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1734, |B|=1748, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 12192.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3429\"\nresult = \"381\"", "target": "381", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1734, 1748, 53), 'gcf', 12192)", "intermediate": "3429", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1942, |B|=214, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1500.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2125\"\nresult = \"125\"", "target": "125", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1942, 214, 31), 'gcf', 1500)", "intermediate": "2125", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4320, |B|=1627, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 764.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5921\"\nresult = \"191\"", "target": "191", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4320, 1627, 26), 'gcf', 764)", "intermediate": "5921", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=960, |B|=5345, |A∩B|=97 (compute |A∪B|), then apply gcf to the result and 2522.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6208\"\nresult = \"194\"", "target": "194", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (960, 5345, 97), 'gcf', 2522)", "intermediate": "6208", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1435, |B|=5111, |A∩B|=152 (compute |A∪B|), then apply gcf to the result and 1529.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6394\"\nresult = \"139\"", "target": "139", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1435, 5111, 152), 'gcf', 1529)", "intermediate": "6394", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1738, |B|=444, |A∩B|=35 (compute |A∪B|), then apply gcf to the result and 3164.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2147\"\nresult = \"113\"", "target": "113", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1738, 444, 35), 'gcf', 3164)", "intermediate": "2147", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2348, |B|=2466, |A∩B|=158 (compute |A∪B|), then apply gcf to the result and 3201.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4656\"\nresult = \"291\"", "target": "291", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2348, 2466, 158), 'gcf', 3201)", "intermediate": "4656", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2380, |B|=744, |A∩B|=33 (compute |A∪B|), then apply gcf to the result and 5620.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3091\"\nresult = \"281\"", "target": "281", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2380, 744, 33), 'gcf', 5620)", "intermediate": "3091", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=414, |B|=876, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 7657.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1178\"\nresult = \"589\"", "target": "589", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (414, 876, 112), 'gcf', 7657)", "intermediate": "1178", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=7170, |B|=281, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 39472.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7401\"\nresult = \"2467\"", "target": "2467", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (7170, 281, 50), 'gcf', 39472)", "intermediate": "7401", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5223, |B|=767, |A∩B|=20 (compute |A∪B|), then apply gcf to the result and 74625.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5970\"\nresult = \"2985\"", "target": "2985", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5223, 767, 20), 'gcf', 74625)", "intermediate": "5970", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=225, |B|=148, |A∩B|=99 (compute |A∪B|), then apply gcf to the result and 3973.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"274\"\nresult = \"137\"", "target": "137", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (225, 148, 99), 'gcf', 3973)", "intermediate": "274", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=644, |B|=8006, |A∩B|=169 (compute |A∪B|), then apply gcf to the result and 10794.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8481\"\nresult = \"771\"", "target": "771", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (644, 8006, 169), 'gcf', 10794)", "intermediate": "8481", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4721, |B|=1502, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 2959.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6187\"\nresult = \"269\"", "target": "269", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4721, 1502, 36), 'gcf', 2959)", "intermediate": "6187", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=770, |B|=509, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4194.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1165\"\nresult = \"233\"", "target": "233", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (770, 509, 114), 'gcf', 4194)", "intermediate": "1165", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=8152, |B|=1345, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 79849.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9394\"\nresult = \"4697\"", "target": "4697", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (8152, 1345, 103), 'gcf', 79849)", "intermediate": "9394", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1336, |B|=6783, |A∩B|=72 (compute |A∪B|), then apply gcf to the result and 2476.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8047\"\nresult = \"619\"", "target": "619", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1336, 6783, 72), 'gcf', 2476)", "intermediate": "8047", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=982, |B|=8639, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7685.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9540\"\nresult = \"265\"", "target": "265", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (982, 8639, 81), 'gcf', 7685)", "intermediate": "9540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4114, |B|=2351, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 20371.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6268\"\nresult = \"1567\"", "target": "1567", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4114, 2351, 197), 'gcf', 20371)", "intermediate": "6268", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1603, |B|=1032, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 16300.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2445\"\nresult = \"815\"", "target": "815", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1603, 1032, 190), 'gcf', 16300)", "intermediate": "2445", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=874, |B|=2626, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 2142.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3468\"\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (874, 2626, 32), 'gcf', 2142)", "intermediate": "3468", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2025, |B|=7229, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 15593.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9054\"\nresult = \"503\"", "target": "503", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2025, 7229, 200), 'gcf', 15593)", "intermediate": "9054", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5809, |B|=2971, |A∩B|=200 (compute |A∪B|), then apply gcf to the result and 53196.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8580\"\nresult = \"1716\"", "target": "1716", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5809, 2971, 200), 'gcf', 53196)", "intermediate": "8580", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5508, |B|=2909, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 78316.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8391\"\nresult = \"2797\"", "target": "2797", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5508, 2909, 26), 'gcf', 78316)", "intermediate": "8391", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6325, |B|=1068, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 5603.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7327\"\nresult = \"431\"", "target": "431", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6325, 1068, 66), 'gcf', 5603)", "intermediate": "7327", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3658, |B|=1856, |A∩B|=70 (compute |A∪B|), then apply gcf to the result and 51718.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5444\"\nresult = \"2722\"", "target": "2722", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3658, 1856, 70), 'gcf', 51718)", "intermediate": "5444", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6369, |B|=698, |A∩B|=60 (compute |A∪B|), then apply gcf to the result and 22932.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7007\"\nresult = \"637\"", "target": "637", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6369, 698, 60), 'gcf', 22932)", "intermediate": "7007", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5334, |B|=1980, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 120021.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7274\"\nresult = \"3637\"", "target": "3637", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5334, 1980, 40), 'gcf', 120021)", "intermediate": "7274", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2357, |B|=956, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 50003.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3226\"\nresult = \"1613\"", "target": "1613", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2357, 956, 87), 'gcf', 50003)", "intermediate": "3226", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=780, |B|=7132, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 11507.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7775\"\nresult = \"311\"", "target": "311", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (780, 7132, 137), 'gcf', 11507)", "intermediate": "7775", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4878, |B|=3806, |A∩B|=93 (compute |A∪B|), then apply gcf to the result and 4840.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8591\"\nresult = \"121\"", "target": "121", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4878, 3806, 93), 'gcf', 4840)", "intermediate": "8591", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2065, |B|=2048, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 20988.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4081\"\nresult = \"583\"", "target": "583", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2065, 2048, 32), 'gcf', 20988)", "intermediate": "4081", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=709, |B|=1526, |A∩B|=89 (compute |A∪B|), then apply gcf to the result and 33263.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2146\"\nresult = \"1073\"", "target": "1073", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (709, 1526, 89), 'gcf', 33263)", "intermediate": "2146", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3731, |B|=4516, |A∩B|=187 (compute |A∪B|), then apply gcf to the result and 6820.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8060\"\nresult = \"620\"", "target": "620", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3731, 4516, 187), 'gcf', 6820)", "intermediate": "8060", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=409, |B|=836, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 9126.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1053\"\nresult = \"351\"", "target": "351", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (409, 836, 192), 'gcf', 9126)", "intermediate": "1053", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6932, |B|=309, |A∩B|=40 (compute |A∪B|), then apply gcf to the result and 10991.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7201\"\nresult = \"379\"", "target": "379", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6932, 309, 40), 'gcf', 10991)", "intermediate": "7201", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2227, |B|=814, |A∩B|=181 (compute |A∪B|), then apply gcf to the result and 2080.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2860\"\nresult = \"260\"", "target": "260", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2227, 814, 181), 'gcf', 2080)", "intermediate": "2860", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2922, |B|=2982, |A∩B|=114 (compute |A∪B|), then apply gcf to the result and 4246.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5790\"\nresult = \"386\"", "target": "386", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2922, 2982, 114), 'gcf', 4246)", "intermediate": "5790", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=694, |B|=125, |A∩B|=108 (compute |A∪B|), then apply gcf to the result and 948.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"711\"\nresult = \"237\"", "target": "237", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (694, 125, 108), 'gcf', 948)", "intermediate": "711", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=679, |B|=2539, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 17116.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3112\"\nresult = \"1556\"", "target": "1556", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (679, 2539, 106), 'gcf', 17116)", "intermediate": "3112", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4238, |B|=5636, |A∩B|=167 (compute |A∪B|), then apply gcf to the result and 9136.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9707\"\nresult = \"571\"", "target": "571", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4238, 5636, 167), 'gcf', 9136)", "intermediate": "9707", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5280, |B|=2720, |A∩B|=83 (compute |A∪B|), then apply gcf to the result and 1421.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7917\"\nresult = \"203\"", "target": "203", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5280, 2720, 83), 'gcf', 1421)", "intermediate": "7917", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=722, |B|=1977, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 3810.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2540\"\nresult = \"1270\"", "target": "1270", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (722, 1977, 159), 'gcf', 3810)", "intermediate": "2540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=535, |B|=2465, |A∩B|=140 (compute |A∪B|), then apply gcf to the result and 770.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2860\"\nresult = \"110\"", "target": "110", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (535, 2465, 140), 'gcf', 770)", "intermediate": "2860", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1830, |B|=3207, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 12679.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4908\"\nresult = \"409\"", "target": "409", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1830, 3207, 129), 'gcf', 12679)", "intermediate": "4908", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=772, |B|=3171, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 1205.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3856\"\nresult = \"241\"", "target": "241", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (772, 3171, 87), 'gcf', 1205)", "intermediate": "3856", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5167, |B|=302, |A∩B|=168 (compute |A∪B|), then apply gcf to the result and 3627.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5301\"\nresult = \"279\"", "target": "279", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5167, 302, 168), 'gcf', 3627)", "intermediate": "5301", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=356, |B|=3549, |A∩B|=147 (compute |A∪B|), then apply gcf to the result and 50733.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3758\"\nresult = \"1879\"", "target": "1879", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (356, 3549, 147), 'gcf', 50733)", "intermediate": "3758", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3043, |B|=1768, |A∩B|=122 (compute |A∪B|), then apply gcf to the result and 48453.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4689\"\nresult = \"1563\"", "target": "1563", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3043, 1768, 122), 'gcf', 48453)", "intermediate": "4689", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1194, |B|=2756, |A∩B|=132 (compute |A∪B|), then apply gcf to the result and 62997.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3818\"\nresult = \"1909\"", "target": "1909", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1194, 2756, 132), 'gcf', 62997)", "intermediate": "3818", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3353, |B|=599, |A∩B|=42 (compute |A∪B|), then apply gcf to the result and 72335.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3910\"\nresult = \"1955\"", "target": "1955", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3353, 599, 42), 'gcf', 72335)", "intermediate": "3910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3014, |B|=134, |A∩B|=118 (compute |A∪B|), then apply gcf to the result and 1717.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3030\"\nresult = \"101\"", "target": "101", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3014, 134, 118), 'gcf', 1717)", "intermediate": "3030", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=7458, |B|=1684, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 15065.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9039\"\nresult = \"3013\"", "target": "3013", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (7458, 1684, 103), 'gcf', 15065)", "intermediate": "9039", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2713, |B|=5753, |A∩B|=109 (compute |A∪B|), then apply gcf to the result and 3288.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8357\"\nresult = \"137\"", "target": "137", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2713, 5753, 109), 'gcf', 3288)", "intermediate": "8357", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1971, |B|=419, |A∩B|=186 (compute |A∪B|), then apply gcf to the result and 4959.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2204\"\nresult = \"551\"", "target": "551", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1971, 419, 186), 'gcf', 4959)", "intermediate": "2204", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6623, |B|=1399, |A∩B|=79 (compute |A∪B|), then apply gcf to the result and 507.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7943\"\nresult = \"169\"", "target": "169", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6623, 1399, 79), 'gcf', 507)", "intermediate": "7943", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4192, |B|=299, |A∩B|=27 (compute |A∪B|), then apply gcf to the result and 17360.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4464\"\nresult = \"496\"", "target": "496", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4192, 299, 27), 'gcf', 17360)", "intermediate": "4464", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4693, |B|=2791, |A∩B|=131 (compute |A∪B|), then apply gcf to the result and 6966.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7353\"\nresult = \"387\"", "target": "387", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4693, 2791, 131), 'gcf', 6966)", "intermediate": "7353", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6024, |B|=1972, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 58935.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7858\"\nresult = \"3929\"", "target": "3929", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6024, 1972, 138), 'gcf', 58935)", "intermediate": "7858", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1487, |B|=4624, |A∩B|=166 (compute |A∪B|), then apply gcf to the result and 38048.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5945\"\nresult = \"1189\"", "target": "1189", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1487, 4624, 166), 'gcf', 38048)", "intermediate": "5945", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5798, |B|=4044, |A∩B|=80 (compute |A∪B|), then apply gcf to the result and 130160.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9762\"\nresult = \"3254\"", "target": "3254", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5798, 4044, 80), 'gcf', 130160)", "intermediate": "9762", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=9015, |B|=325, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 14144.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9152\"\nresult = \"832\"", "target": "832", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (9015, 325, 188), 'gcf', 14144)", "intermediate": "9152", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=82, |B|=966, |A∩B|=53 (compute |A∪B|), then apply gcf to the result and 5771.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"995\"\nresult = \"199\"", "target": "199", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (82, 966, 53), 'gcf', 5771)", "intermediate": "995", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3620, |B|=2832, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 7469.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6402\"\nresult = \"1067\"", "target": "1067", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3620, 2832, 50), 'gcf', 7469)", "intermediate": "6402", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=8196, |B|=1266, |A∩B|=67 (compute |A∪B|), then apply gcf to the result and 13153.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9395\"\nresult = \"1879\"", "target": "1879", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (8196, 1266, 67), 'gcf', 13153)", "intermediate": "9395", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1495, |B|=6693, |A∩B|=192 (compute |A∪B|), then apply gcf to the result and 5997.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7996\"\nresult = \"1999\"", "target": "1999", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1495, 6693, 192), 'gcf', 5997)", "intermediate": "7996", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=886, |B|=2564, |A∩B|=129 (compute |A∪B|), then apply gcf to the result and 25461.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3321\"\nresult = \"1107\"", "target": "1107", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (886, 2564, 129), 'gcf', 25461)", "intermediate": "3321", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6178, |B|=2764, |A∩B|=78 (compute |A∪B|), then apply gcf to the result and 39888.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8864\"\nresult = \"4432\"", "target": "4432", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6178, 2764, 78), 'gcf', 39888)", "intermediate": "8864", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3213, |B|=565, |A∩B|=149 (compute |A∪B|), then apply gcf to the result and 2674.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3629\"\nresult = \"191\"", "target": "191", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3213, 565, 149), 'gcf', 2674)", "intermediate": "3629", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4615, |B|=2687, |A∩B|=137 (compute |A∪B|), then apply gcf to the result and 4299.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7165\"\nresult = \"1433\"", "target": "1433", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4615, 2687, 137), 'gcf', 4299)", "intermediate": "7165", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1076, |B|=1055, |A∩B|=66 (compute |A∪B|), then apply gcf to the result and 2950.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2065\"\nresult = \"295\"", "target": "295", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1076, 1055, 66), 'gcf', 2950)", "intermediate": "2065", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1398, |B|=4379, |A∩B|=96 (compute |A∪B|), then apply gcf to the result and 11799.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5681\"\nresult = \"437\"", "target": "437", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1398, 4379, 96), 'gcf', 11799)", "intermediate": "5681", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=267, |B|=925, |A∩B|=25 (compute |A∪B|), then apply gcf to the result and 15560.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1167\"\nresult = \"389\"", "target": "389", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (267, 925, 25), 'gcf', 15560)", "intermediate": "1167", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2492, |B|=1097, |A∩B|=81 (compute |A∪B|), then apply gcf to the result and 7893.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3508\"\nresult = \"877\"", "target": "877", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2492, 1097, 81), 'gcf', 7893)", "intermediate": "3508", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4370, |B|=1111, |A∩B|=26 (compute |A∪B|), then apply gcf to the result and 31639.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5455\"\nresult = \"1091\"", "target": "1091", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4370, 1111, 26), 'gcf', 31639)", "intermediate": "5455", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1284, |B|=6145, |A∩B|=116 (compute |A∪B|), then apply gcf to the result and 3399.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7313\"\nresult = \"103\"", "target": "103", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1284, 6145, 116), 'gcf', 3399)", "intermediate": "7313", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4098, |B|=2159, |A∩B|=175 (compute |A∪B|), then apply gcf to the result and 9123.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6082\"\nresult = \"3041\"", "target": "3041", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4098, 2159, 175), 'gcf', 9123)", "intermediate": "6082", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1813, |B|=4473, |A∩B|=76 (compute |A∪B|), then apply gcf to the result and 4995.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6210\"\nresult = \"135\"", "target": "135", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1813, 4473, 76), 'gcf', 4995)", "intermediate": "6210", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2017, |B|=2517, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 50554.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4396\"\nresult = \"2198\"", "target": "2198", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2017, 2517, 138), 'gcf', 50554)", "intermediate": "4396", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5098, |B|=515, |A∩B|=191 (compute |A∪B|), then apply gcf to the result and 105729.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5422\"\nresult = \"2711\"", "target": "2711", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5098, 515, 191), 'gcf', 105729)", "intermediate": "5422", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1278, |B|=4707, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 43919.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5935\"\nresult = \"1187\"", "target": "1187", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1278, 4707, 50), 'gcf', 43919)", "intermediate": "5935", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1828, |B|=3276, |A∩B|=199 (compute |A∪B|), then apply gcf to the result and 10355.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4905\"\nresult = \"545\"", "target": "545", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1828, 3276, 199), 'gcf', 10355)", "intermediate": "4905", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1334, |B|=7528, |A∩B|=64 (compute |A∪B|), then apply gcf to the result and 83581.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8798\"\nresult = \"4399\"", "target": "4399", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1334, 7528, 64), 'gcf', 83581)", "intermediate": "8798", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1255, |B|=1495, |A∩B|=33 (compute |A∪B|), then apply gcf to the result and 3289.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2717\"\nresult = \"143\"", "target": "143", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1255, 1495, 33), 'gcf', 3289)", "intermediate": "2717", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5267, |B|=1623, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 29540.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6752\"\nresult = \"844\"", "target": "844", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5267, 1623, 138), 'gcf', 29540)", "intermediate": "6752", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2242, |B|=3678, |A∩B|=104 (compute |A∪B|), then apply gcf to the result and 26899.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5816\"\nresult = \"727\"", "target": "727", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2242, 3678, 104), 'gcf', 26899)", "intermediate": "5816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=436, |B|=483, |A∩B|=189 (compute |A∪B|), then apply gcf to the result and 4015.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"730\"\nresult = \"365\"", "target": "365", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (436, 483, 189), 'gcf', 4015)", "intermediate": "730", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=7103, |B|=331, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 54465.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7262\"\nresult = \"3631\"", "target": "3631", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (7103, 331, 172), 'gcf', 54465)", "intermediate": "7262", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1179, |B|=1079, |A∩B|=20 (compute |A∪B|), then apply gcf to the result and 3357.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2238\"\nresult = \"1119\"", "target": "1119", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1179, 1079, 20), 'gcf', 3357)", "intermediate": "2238", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2145, |B|=4752, |A∩B|=30 (compute |A∪B|), then apply gcf to the result and 4578.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6867\"\nresult = \"2289\"", "target": "2289", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2145, 4752, 30), 'gcf', 4578)", "intermediate": "6867", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6417, |B|=2990, |A∩B|=102 (compute |A∪B|), then apply gcf to the result and 40942.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9305\"\nresult = \"1861\"", "target": "1861", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6417, 2990, 102), 'gcf', 40942)", "intermediate": "9305", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=380, |B|=314, |A∩B|=193 (compute |A∪B|), then apply gcf to the result and 6680.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"501\"\nresult = \"167\"", "target": "167", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (380, 314, 193), 'gcf', 6680)", "intermediate": "501", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=8535, |B|=453, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 4524.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8816\"\nresult = \"116\"", "target": "116", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (8535, 453, 172), 'gcf', 4524)", "intermediate": "8816", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2770, |B|=5476, |A∩B|=172 (compute |A∪B|), then apply gcf to the result and 100925.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8074\"\nresult = \"4037\"", "target": "4037", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2770, 5476, 172), 'gcf', 100925)", "intermediate": "8074", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1465, |B|=1469, |A∩B|=128 (compute |A∪B|), then apply gcf to the result and 26657.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2806\"\nresult = \"1403\"", "target": "1403", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1465, 1469, 128), 'gcf', 26657)", "intermediate": "2806", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3427, |B|=1346, |A∩B|=103 (compute |A∪B|), then apply gcf to the result and 4203.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4670\"\nresult = \"467\"", "target": "467", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3427, 1346, 103), 'gcf', 4203)", "intermediate": "4670", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2343, |B|=856, |A∩B|=71 (compute |A∪B|), then apply gcf to the result and 6072.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3128\"\nresult = \"184\"", "target": "184", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2343, 856, 71), 'gcf', 6072)", "intermediate": "3128", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5126, |B|=1268, |A∩B|=74 (compute |A∪B|), then apply gcf to the result and 6715.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6320\"\nresult = \"395\"", "target": "395", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5126, 1268, 74), 'gcf', 6715)", "intermediate": "6320", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=144, |B|=4429, |A∩B|=38 (compute |A∪B|), then apply gcf to the result and 29931.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4535\"\nresult = \"907\"", "target": "907", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (144, 4429, 38), 'gcf', 29931)", "intermediate": "4535", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1993, |B|=166, |A∩B|=56 (compute |A∪B|), then apply gcf to the result and 21731.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2103\"\nresult = \"701\"", "target": "701", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1993, 166, 56), 'gcf', 21731)", "intermediate": "2103", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5442, |B|=3994, |A∩B|=157 (compute |A∪B|), then apply gcf to the result and 10310.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9279\"\nresult = \"1031\"", "target": "1031", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5442, 3994, 157), 'gcf', 10310)", "intermediate": "9279", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1081, |B|=1665, |A∩B|=170 (compute |A∪B|), then apply gcf to the result and 10948.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2576\"\nresult = \"644\"", "target": "644", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1081, 1665, 170), 'gcf', 10948)", "intermediate": "2576", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=147, |B|=164, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 3472.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"224\"\nresult = \"112\"", "target": "112", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (147, 164, 87), 'gcf', 3472)", "intermediate": "224", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1888, |B|=4278, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 10248.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5978\"\nresult = \"854\"", "target": "854", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1888, 4278, 188), 'gcf', 10248)", "intermediate": "5978", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1400, |B|=6356, |A∩B|=86 (compute |A∪B|), then apply gcf to the result and 2832.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7670\"\nresult = \"118\"", "target": "118", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1400, 6356, 86), 'gcf', 2832)", "intermediate": "7670", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=8270, |B|=1541, |A∩B|=169 (compute |A∪B|), then apply gcf to the result and 56245.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9642\"\nresult = \"1607\"", "target": "1607", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (8270, 1541, 169), 'gcf', 56245)", "intermediate": "9642", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4778, |B|=981, |A∩B|=143 (compute |A∪B|), then apply gcf to the result and 13572.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5616\"\nresult = \"468\"", "target": "468", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4778, 981, 143), 'gcf', 13572)", "intermediate": "5616", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=9419, |B|=363, |A∩B|=87 (compute |A∪B|), then apply gcf to the result and 21329.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9695\"\nresult = \"1939\"", "target": "1939", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (9419, 363, 87), 'gcf', 21329)", "intermediate": "9695", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1038, |B|=2497, |A∩B|=166 (compute |A∪B|), then apply gcf to the result and 21337.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3369\"\nresult = \"1123\"", "target": "1123", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1038, 2497, 166), 'gcf', 21337)", "intermediate": "3369", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6399, |B|=2525, |A∩B|=50 (compute |A∪B|), then apply gcf to the result and 6409.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8874\"\nresult = \"493\"", "target": "493", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6399, 2525, 50), 'gcf', 6409)", "intermediate": "8874", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=7294, |B|=2523, |A∩B|=112 (compute |A∪B|), then apply gcf to the result and 14881.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9705\"\nresult = \"647\"", "target": "647", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (7294, 2523, 112), 'gcf', 14881)", "intermediate": "9705", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5701, |B|=3714, |A∩B|=41 (compute |A∪B|), then apply gcf to the result and 1853.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9374\"\nresult = \"109\"", "target": "109", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5701, 3714, 41), 'gcf', 1853)", "intermediate": "9374", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=573, |B|=373, |A∩B|=110 (compute |A∪B|), then apply gcf to the result and 2717.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"836\"\nresult = \"209\"", "target": "209", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (573, 373, 110), 'gcf', 2717)", "intermediate": "836", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=874, |B|=8292, |A∩B|=141 (compute |A∪B|), then apply gcf to the result and 11875.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9025\"\nresult = \"475\"", "target": "475", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (874, 8292, 141), 'gcf', 11875)", "intermediate": "9025", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=741, |B|=8854, |A∩B|=106 (compute |A∪B|), then apply gcf to the result and 79075.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9489\"\nresult = \"3163\"", "target": "3163", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (741, 8854, 106), 'gcf', 79075)", "intermediate": "9489", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6285, |B|=1128, |A∩B|=102 (compute |A∪B|), then apply gcf to the result and 70673.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7311\"\nresult = \"2437\"", "target": "2437", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6285, 1128, 102), 'gcf', 70673)", "intermediate": "7311", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=561, |B|=569, |A∩B|=165 (compute |A∪B|), then apply gcf to the result and 2509.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"965\"\nresult = \"193\"", "target": "193", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (561, 569, 165), 'gcf', 2509)", "intermediate": "965", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3006, |B|=2774, |A∩B|=32 (compute |A∪B|), then apply gcf to the result and 31614.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5748\"\nresult = \"2874\"", "target": "2874", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3006, 2774, 32), 'gcf', 31614)", "intermediate": "5748", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1098, |B|=988, |A∩B|=176 (compute |A∪B|), then apply gcf to the result and 2292.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1910\"\nresult = \"382\"", "target": "382", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1098, 988, 176), 'gcf', 2292)", "intermediate": "1910", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=256, |B|=1311, |A∩B|=189 (compute |A∪B|), then apply gcf to the result and 10335.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1378\"\nresult = \"689\"", "target": "689", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (256, 1311, 189), 'gcf', 10335)", "intermediate": "1378", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=859, |B|=1287, |A∩B|=145 (compute |A∪B|), then apply gcf to the result and 10672.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2001\"\nresult = \"667\"", "target": "667", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (859, 1287, 145), 'gcf', 10672)", "intermediate": "2001", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2748, |B|=5556, |A∩B|=163 (compute |A∪B|), then apply gcf to the result and 10467.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8141\"\nresult = \"1163\"", "target": "1163", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2748, 5556, 163), 'gcf', 10467)", "intermediate": "8141", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6571, |B|=1718, |A∩B|=159 (compute |A∪B|), then apply gcf to the result and 2981.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8130\"\nresult = \"271\"", "target": "271", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6571, 1718, 159), 'gcf', 2981)", "intermediate": "8130", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1230, |B|=3436, |A∩B|=138 (compute |A∪B|), then apply gcf to the result and 9905.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4528\"\nresult = \"283\"", "target": "283", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1230, 3436, 138), 'gcf', 9905)", "intermediate": "4528", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6293, |B|=446, |A∩B|=133 (compute |A∪B|), then apply gcf to the result and 5872.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6606\"\nresult = \"734\"", "target": "734", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6293, 446, 133), 'gcf', 5872)", "intermediate": "6606", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4586, |B|=97, |A∩B|=85 (compute |A∪B|), then apply gcf to the result and 2541.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4598\"\nresult = \"121\"", "target": "121", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4586, 97, 85), 'gcf', 2541)", "intermediate": "4598", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=652, |B|=119, |A∩B|=111 (compute |A∪B|), then apply gcf to the result and 3696.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"660\"\nresult = \"132\"", "target": "132", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (652, 119, 111), 'gcf', 3696)", "intermediate": "660", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=2496, |B|=3942, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 22152.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6248\"\nresult = \"568\"", "target": "568", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (2496, 3942, 190), 'gcf', 22152)", "intermediate": "6248", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=3333, |B|=5082, |A∩B|=188 (compute |A∪B|), then apply gcf to the result and 7794.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8227\"\nresult = \"433\"", "target": "433", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (3333, 5082, 188), 'gcf', 7794)", "intermediate": "8227", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=230, |B|=1177, |A∩B|=73 (compute |A∪B|), then apply gcf to the result and 14007.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1334\"\nresult = \"667\"", "target": "667", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (230, 1177, 73), 'gcf', 14007)", "intermediate": "1334", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=5144, |B|=2927, |A∩B|=142 (compute |A∪B|), then apply gcf to the result and 35240.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7929\"\nresult = \"881\"", "target": "881", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (5144, 2927, 142), 'gcf', 35240)", "intermediate": "7929", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=636, |B|=1257, |A∩B|=190 (compute |A∪B|), then apply gcf to the result and 3799.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1703\"\nresult = \"131\"", "target": "131", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (636, 1257, 190), 'gcf', 3799)", "intermediate": "1703", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4552, |B|=1720, |A∩B|=154 (compute |A∪B|), then apply gcf to the result and 2622.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6118\"\nresult = \"874\"", "target": "874", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4552, 1720, 154), 'gcf', 2622)", "intermediate": "6118", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=753, |B|=1122, |A∩B|=31 (compute |A∪B|), then apply gcf to the result and 1383.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1844\"\nresult = \"461\"", "target": "461", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (753, 1122, 31), 'gcf', 1383)", "intermediate": "1844", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=4283, |B|=2412, |A∩B|=43 (compute |A∪B|), then apply gcf to the result and 54879.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6652\"\nresult = \"1663\"", "target": "1663", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (4283, 2412, 43), 'gcf', 54879)", "intermediate": "6652", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1972, |B|=3302, |A∩B|=183 (compute |A∪B|), then apply gcf to the result and 27152.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5091\"\nresult = \"1697\"", "target": "1697", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1972, 3302, 183), 'gcf', 27152)", "intermediate": "5091", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1082, |B|=52, |A∩B|=36 (compute |A∪B|), then apply gcf to the result and 3477.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1098\"\nresult = \"183\"", "target": "183", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1082, 52, 36), 'gcf', 3477)", "intermediate": "1098", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=1538, |B|=2416, |A∩B|=160 (compute |A∪B|), then apply gcf to the result and 62601.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3794\"\nresult = \"1897\"", "target": "1897", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (1538, 2416, 160), 'gcf', 62601)", "intermediate": "3794", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=6311, |B|=685, |A∩B|=197 (compute |A∪B|), then apply gcf to the result and 19874.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6799\"\nresult = \"523\"", "target": "523", "fn_f": "gcf", "fn_g": "venn", "fn_chain": "gcf|venn", "input_str": "('mm', 'venn', (6311, 685, 197), 'gcf', 19874)", "intermediate": "6799", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=84, |B|=108, |A∩B|=80 (compute |A∪B|), then apply lcm to the result and 52.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"112\"\nresult = \"1456\"", "target": "1456", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (84, 108, 80), 'lcm', 52)", "intermediate": "112", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=198, |B|=241, |A∩B|=195 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"244\"\nresult = \"4636\"", "target": "4636", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (198, 241, 195), 'lcm', 19)", "intermediate": "244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=172, |B|=200, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"215\"\nresult = \"4085\"", "target": "4085", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (172, 200, 157), 'lcm', 19)", "intermediate": "215", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=198, |B|=80, |A∩B|=28 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"250\"\nresult = \"2250\"", "target": "2250", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (198, 80, 28), 'lcm', 9)", "intermediate": "250", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=217, |B|=101, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"239\"\nresult = \"6692\"", "target": "6692", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (217, 101, 79), 'lcm', 28)", "intermediate": "239", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=164, |B|=586, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"707\"\nresult = \"2828\"", "target": "2828", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (164, 586, 43), 'lcm', 4)", "intermediate": "707", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=473, |B|=538, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"888\"\nresult = \"7992\"", "target": "7992", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (473, 538, 123), 'lcm', 27)", "intermediate": "888", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=205, |B|=209, |A∩B|=104 (compute |A∪B|), then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"310\"\nresult = \"7440\"", "target": "7440", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (205, 209, 104), 'lcm', 48)", "intermediate": "310", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=299, |B|=495, |A∩B|=83 (compute |A∪B|), then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"711\"\nresult = \"5688\"", "target": "5688", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (299, 495, 83), 'lcm', 72)", "intermediate": "711", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=141, |B|=53, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"161\"\nresult = \"4025\"", "target": "4025", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (141, 53, 33), 'lcm', 25)", "intermediate": "161", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=159, |B|=359, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"464\"\nresult = \"2320\"", "target": "2320", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (159, 359, 54), 'lcm', 20)", "intermediate": "464", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=148, |B|=924, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"956\"\nresult = \"6692\"", "target": "6692", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (148, 924, 116), 'lcm', 28)", "intermediate": "956", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=878, |B|=167, |A∩B|=130 (compute |A∪B|), then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"915\"\nresult = \"1830\"", "target": "1830", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (878, 167, 130), 'lcm', 30)", "intermediate": "915", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=300, |B|=323, |A∩B|=30 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"593\"\nresult = \"8302\"", "target": "8302", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (300, 323, 30), 'lcm', 14)", "intermediate": "593", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=279, |B|=727, |A∩B|=98 (compute |A∪B|), then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"908\"\nresult = \"5448\"", "target": "5448", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (279, 727, 98), 'lcm', 24)", "intermediate": "908", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=219, |B|=105, |A∩B|=27 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"297\"\nresult = \"4158\"", "target": "4158", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (219, 105, 27), 'lcm', 14)", "intermediate": "297", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=414, |B|=493, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"785\"\nresult = \"9420\"", "target": "9420", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (414, 493, 122), 'lcm', 60)", "intermediate": "785", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=219, |B|=193, |A∩B|=105 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"307\"\nresult = \"2456\"", "target": "2456", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (219, 193, 105), 'lcm', 8)", "intermediate": "307", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=325, |B|=400, |A∩B|=50 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"675\"\nresult = \"9450\"", "target": "9450", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (325, 400, 50), 'lcm', 14)", "intermediate": "675", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=306, |B|=871, |A∩B|=183 (compute |A∪B|), then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"994\"\nresult = \"2982\"", "target": "2982", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (306, 871, 183), 'lcm', 21)", "intermediate": "994", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=545, |B|=76, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"587\"\nresult = \"3522\"", "target": "3522", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (545, 76, 34), 'lcm', 6)", "intermediate": "587", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=546, |B|=477, |A∩B|=48 (compute |A∪B|), then apply lcm to the result and 90.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"975\"\nresult = \"5850\"", "target": "5850", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (546, 477, 48), 'lcm', 90)", "intermediate": "975", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=287, |B|=348, |A∩B|=26 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"609\"\nresult = \"1218\"", "target": "1218", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (287, 348, 26), 'lcm', 14)", "intermediate": "609", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=314, |B|=339, |A∩B|=169 (compute |A∪B|), then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"484\"\nresult = \"2904\"", "target": "2904", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (314, 339, 169), 'lcm', 24)", "intermediate": "484", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=52, |B|=130, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 74.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"146\"\nresult = \"5402\"", "target": "5402", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (52, 130, 36), 'lcm', 74)", "intermediate": "146", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=229, |B|=933, |A∩B|=177 (compute |A∪B|), then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"985\"\nresult = \"7880\"", "target": "7880", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (229, 933, 177), 'lcm', 40)", "intermediate": "985", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=635, |B|=237, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"805\"\nresult = \"9660\"", "target": "9660", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (635, 237, 67), 'lcm', 60)", "intermediate": "805", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=460, |B|=408, |A∩B|=197 (compute |A∪B|), then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671\"\nresult = \"4026\"", "target": "4026", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (460, 408, 197), 'lcm', 66)", "intermediate": "671", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=347, |B|=242, |A∩B|=78 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"511\"\nresult = \"9709\"", "target": "9709", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (347, 242, 78), 'lcm', 19)", "intermediate": "511", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=319, |B|=212, |A∩B|=51 (compute |A∪B|), then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"480\"\nresult = \"6240\"", "target": "6240", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (319, 212, 51), 'lcm', 26)", "intermediate": "480", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=294, |B|=301, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 76.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"399\"\nresult = \"1596\"", "target": "1596", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (294, 301, 196), 'lcm', 76)", "intermediate": "399", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=106, |B|=847, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"891\"\nresult = \"6237\"", "target": "6237", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (106, 847, 62), 'lcm', 77)", "intermediate": "891", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=108, |B|=328, |A∩B|=88 (compute |A∪B|), then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"348\"\nresult = \"6960\"", "target": "6960", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (108, 328, 88), 'lcm', 80)", "intermediate": "348", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=356, |B|=681, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"947\"\nresult = \"5682\"", "target": "5682", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (356, 681, 90), 'lcm', 6)", "intermediate": "947", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=527, |B|=543, |A∩B|=133 (compute |A∪B|), then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"937\"\nresult = \"9370\"", "target": "9370", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (527, 543, 133), 'lcm', 10)", "intermediate": "937", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=302, |B|=232, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 65.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"355\"\nresult = \"4615\"", "target": "4615", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (302, 232, 179), 'lcm', 65)", "intermediate": "355", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=329, |B|=419, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"562\"\nresult = \"1686\"", "target": "1686", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (329, 419, 186), 'lcm', 6)", "intermediate": "562", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=148, |B|=164, |A∩B|=143 (compute |A∪B|), then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"169\"\nresult = \"6760\"", "target": "6760", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (148, 164, 143), 'lcm', 40)", "intermediate": "169", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=147, |B|=921, |A∩B|=141 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"927\"\nresult = \"1854\"", "target": "1854", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (147, 921, 141), 'lcm', 2)", "intermediate": "927", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=257, |B|=243, |A∩B|=117 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"383\"\nresult = \"7660\"", "target": "7660", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (257, 243, 117), 'lcm', 20)", "intermediate": "383", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=735, |B|=412, |A∩B|=181 (compute |A∪B|), then apply lcm to the result and 92.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"966\"\nresult = \"1932\"", "target": "1932", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (735, 412, 181), 'lcm', 92)", "intermediate": "966", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=217, |B|=100, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 88.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"292\"\nresult = \"6424\"", "target": "6424", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (217, 100, 25), 'lcm', 88)", "intermediate": "292", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=285, |B|=447, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 52.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"580\"\nresult = \"7540\"", "target": "7540", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (285, 447, 152), 'lcm', 52)", "intermediate": "580", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=642, |B|=225, |A∩B|=74 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"793\"\nresult = \"6344\"", "target": "6344", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (642, 225, 74), 'lcm', 8)", "intermediate": "793", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=415, |B|=694, |A∩B|=166 (compute |A∪B|), then apply lcm to the result and 92.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"943\"\nresult = \"3772\"", "target": "3772", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (415, 694, 166), 'lcm', 92)", "intermediate": "943", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=243, |B|=134, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"345\"\nresult = \"4140\"", "target": "4140", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (243, 134, 32), 'lcm', 36)", "intermediate": "345", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=164, |B|=206, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 43.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"210\"\nresult = \"9030\"", "target": "9030", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (164, 206, 160), 'lcm', 43)", "intermediate": "210", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=340, |B|=159, |A∩B|=145 (compute |A∪B|), then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"354\"\nresult = \"9912\"", "target": "9912", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (340, 159, 145), 'lcm', 56)", "intermediate": "354", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=112, |B|=164, |A∩B|=32 (compute |A∪B|), then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"244\"\nresult = \"5124\"", "target": "5124", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (112, 164, 32), 'lcm', 42)", "intermediate": "244", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=450, |B|=498, |A∩B|=31 (compute |A∪B|), then apply lcm to the result and 70.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"917\"\nresult = \"9170\"", "target": "9170", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (450, 498, 31), 'lcm', 70)", "intermediate": "917", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=692, |B|=422, |A∩B|=132 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"982\"\nresult = \"9820\"", "target": "9820", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (692, 422, 132), 'lcm', 20)", "intermediate": "982", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=152, |B|=51, |A∩B|=25 (compute |A∪B|), then apply lcm to the result and 62.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"178\"\nresult = \"5518\"", "target": "5518", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (152, 51, 25), 'lcm', 62)", "intermediate": "178", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=335, |B|=304, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 99.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"550\"\nresult = \"4950\"", "target": "4950", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (335, 304, 89), 'lcm', 99)", "intermediate": "550", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=542, |B|=237, |A∩B|=190 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"589\"\nresult = \"1178\"", "target": "1178", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (542, 237, 190), 'lcm', 2)", "intermediate": "589", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=534, |B|=447, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"795\"\nresult = \"2385\"", "target": "2385", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (534, 447, 186), 'lcm', 9)", "intermediate": "795", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=450, |B|=352, |A∩B|=120 (compute |A∪B|), then apply lcm to the result and 55.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"682\"\nresult = \"3410\"", "target": "3410", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (450, 352, 120), 'lcm', 55)", "intermediate": "682", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=263, |B|=95, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"324\"\nresult = \"6156\"", "target": "6156", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (263, 95, 34), 'lcm', 19)", "intermediate": "324", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=479, |B|=609, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 56.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936\"\nresult = \"6552\"", "target": "6552", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (479, 609, 152), 'lcm', 56)", "intermediate": "936", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=228, |B|=279, |A∩B|=162 (compute |A∪B|), then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"345\"\nresult = \"4485\"", "target": "4485", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (228, 279, 162), 'lcm', 13)", "intermediate": "345", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=175, |B|=423, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"564\"\nresult = \"5076\"", "target": "5076", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (175, 423, 34), 'lcm', 27)", "intermediate": "564", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=210, |B|=203, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 31.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"228\"\nresult = \"7068\"", "target": "7068", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (210, 203, 185), 'lcm', 31)", "intermediate": "228", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=282, |B|=206, |A∩B|=107 (compute |A∪B|), then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"381\"\nresult = \"5334\"", "target": "5334", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (282, 206, 107), 'lcm', 42)", "intermediate": "381", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=702, |B|=341, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"954\"\nresult = \"4770\"", "target": "4770", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (702, 341, 89), 'lcm', 45)", "intermediate": "954", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=151, |B|=86, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"170\"\nresult = \"510\"", "target": "510", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (151, 86, 67), 'lcm', 30)", "intermediate": "170", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=123, |B|=306, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"366\"\nresult = \"1830\"", "target": "1830", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (123, 306, 63), 'lcm', 15)", "intermediate": "366", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=372, |B|=552, |A∩B|=99 (compute |A∪B|), then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"825\"\nresult = \"7425\"", "target": "7425", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (372, 552, 99), 'lcm', 27)", "intermediate": "825", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=154, |B|=176, |A∩B|=150 (compute |A∪B|), then apply lcm to the result and 44.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"180\"\nresult = \"1980\"", "target": "1980", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (154, 176, 150), 'lcm', 44)", "intermediate": "180", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=656, |B|=421, |A∩B|=158 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"919\"\nresult = \"8271\"", "target": "8271", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (656, 421, 158), 'lcm', 9)", "intermediate": "919", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=256, |B|=278, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"361\"\nresult = \"3249\"", "target": "3249", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (256, 278, 173), 'lcm', 9)", "intermediate": "361", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=227, |B|=768, |A∩B|=103 (compute |A∪B|), then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"892\"\nresult = \"5352\"", "target": "5352", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (227, 768, 103), 'lcm', 24)", "intermediate": "892", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=334, |B|=91, |A∩B|=55 (compute |A∪B|), then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"370\"\nresult = \"1480\"", "target": "1480", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (334, 91, 55), 'lcm', 40)", "intermediate": "370", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=728, |B|=296, |A∩B|=119 (compute |A∪B|), then apply lcm to the result and 35.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"905\"\nresult = \"6335\"", "target": "6335", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (728, 296, 119), 'lcm', 35)", "intermediate": "905", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=701, |B|=204, |A∩B|=39 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"866\"\nresult = \"8660\"", "target": "8660", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (701, 204, 39), 'lcm', 20)", "intermediate": "866", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=526, |B|=215, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"585\"\nresult = \"2340\"", "target": "2340", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (526, 215, 156), 'lcm', 20)", "intermediate": "585", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=229, |B|=443, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 24.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"536\"\nresult = \"1608\"", "target": "1608", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (229, 443, 136), 'lcm', 24)", "intermediate": "536", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=220, |B|=502, |A∩B|=151 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"571\"\nresult = \"1713\"", "target": "1713", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (220, 502, 151), 'lcm', 3)", "intermediate": "571", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=455, |B|=271, |A∩B|=115 (compute |A∪B|), then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"611\"\nresult = \"1222\"", "target": "1222", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (455, 271, 115), 'lcm', 26)", "intermediate": "611", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=549, |B|=342, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837\"\nresult = \"9207\"", "target": "9207", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (549, 342, 54), 'lcm', 11)", "intermediate": "837", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=797, |B|=256, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871\"\nresult = \"2613\"", "target": "2613", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (797, 256, 182), 'lcm', 39)", "intermediate": "871", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=130, |B|=866, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"933\"\nresult = \"3732\"", "target": "3732", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (130, 866, 63), 'lcm', 4)", "intermediate": "933", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=902, |B|=61, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"930\"\nresult = \"4650\"", "target": "4650", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (902, 61, 33), 'lcm', 25)", "intermediate": "930", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=228, |B|=153, |A∩B|=38 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"343\"\nresult = \"2744\"", "target": "2744", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (228, 153, 38), 'lcm', 8)", "intermediate": "343", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=173, |B|=353, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"404\"\nresult = \"2020\"", "target": "2020", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (173, 353, 122), 'lcm', 10)", "intermediate": "404", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=144, |B|=177, |A∩B|=123 (compute |A∪B|), then apply lcm to the result and 39.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"198\"\nresult = \"2574\"", "target": "2574", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (144, 177, 123), 'lcm', 39)", "intermediate": "198", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=191, |B|=260, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"265\"\nresult = \"2915\"", "target": "2915", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (191, 260, 186), 'lcm', 11)", "intermediate": "265", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=461, |B|=250, |A∩B|=56 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"655\"\nresult = \"9170\"", "target": "9170", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (461, 250, 56), 'lcm', 14)", "intermediate": "655", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=210, |B|=305, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 23.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"433\"\nresult = \"9959\"", "target": "9959", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (210, 305, 82), 'lcm', 23)", "intermediate": "433", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=347, |B|=45, |A∩B|=23 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"369\"\nresult = \"1476\"", "target": "1476", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (347, 45, 23), 'lcm', 4)", "intermediate": "369", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=235, |B|=213, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 87.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"252\"\nresult = \"7308\"", "target": "7308", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (235, 213, 196), 'lcm', 87)", "intermediate": "252", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=176, |B|=122, |A∩B|=91 (compute |A∪B|), then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"207\"\nresult = \"5382\"", "target": "5382", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (176, 122, 91), 'lcm', 26)", "intermediate": "207", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=430, |B|=249, |A∩B|=77 (compute |A∪B|), then apply lcm to the result and 22.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"602\"\nresult = \"6622\"", "target": "6622", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (430, 249, 77), 'lcm', 22)", "intermediate": "602", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=318, |B|=216, |A∩B|=139 (compute |A∪B|), then apply lcm to the result and 45.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"395\"\nresult = \"3555\"", "target": "3555", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (318, 216, 139), 'lcm', 45)", "intermediate": "395", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=570, |B|=448, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"833\"\nresult = \"3332\"", "target": "3332", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (570, 448, 185), 'lcm', 4)", "intermediate": "833", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=329, |B|=401, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"574\"\nresult = \"6314\"", "target": "6314", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (329, 401, 156), 'lcm', 77)", "intermediate": "574", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=572, |B|=516, |A∩B|=140 (compute |A∪B|), then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"948\"\nresult = \"5688\"", "target": "5688", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (572, 516, 140), 'lcm', 72)", "intermediate": "948", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=176, |B|=622, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"637\"\nresult = \"1274\"", "target": "1274", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (176, 622, 161), 'lcm', 2)", "intermediate": "637", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=325, |B|=168, |A∩B|=148 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"345\"\nresult = \"2760\"", "target": "2760", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (325, 168, 148), 'lcm', 8)", "intermediate": "345", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=478, |B|=117, |A∩B|=92 (compute |A∪B|), then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"503\"\nresult = \"6539\"", "target": "6539", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (478, 117, 92), 'lcm', 13)", "intermediate": "503", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=164, |B|=481, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"563\"\nresult = \"3378\"", "target": "3378", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (164, 481, 82), 'lcm', 6)", "intermediate": "563", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=143, |B|=313, |A∩B|=90 (compute |A∪B|), then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"366\"\nresult = \"1830\"", "target": "1830", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (143, 313, 90), 'lcm', 5)", "intermediate": "366", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=144, |B|=483, |A∩B|=122 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"505\"\nresult = \"7070\"", "target": "7070", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (144, 483, 122), 'lcm', 14)", "intermediate": "505", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=538, |B|=67, |A∩B|=49 (compute |A∪B|), then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"556\"\nresult = \"5560\"", "target": "5560", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (538, 67, 49), 'lcm', 40)", "intermediate": "556", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=137, |B|=845, |A∩B|=63 (compute |A∪B|), then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"919\"\nresult = \"9190\"", "target": "9190", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (137, 845, 63), 'lcm', 10)", "intermediate": "919", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=138, |B|=106, |A∩B|=75 (compute |A∪B|), then apply lcm to the result and 7.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"169\"\nresult = \"1183\"", "target": "1183", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (138, 106, 75), 'lcm', 7)", "intermediate": "169", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=273, |B|=298, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"411\"\nresult = \"2055\"", "target": "2055", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (273, 298, 160), 'lcm', 15)", "intermediate": "411", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=811, |B|=48, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"826\"\nresult = \"7434\"", "target": "7434", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (811, 48, 33), 'lcm', 9)", "intermediate": "826", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=97, |B|=72, |A∩B|=24 (compute |A∪B|), then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"145\"\nresult = \"3915\"", "target": "3915", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (97, 72, 24), 'lcm', 27)", "intermediate": "145", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=116, |B|=226, |A∩B|=85 (compute |A∪B|), then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"257\"\nresult = \"3084\"", "target": "3084", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (116, 226, 85), 'lcm', 12)", "intermediate": "257", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=56, |B|=169, |A∩B|=36 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"189\"\nresult = \"3591\"", "target": "3591", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (56, 169, 36), 'lcm', 19)", "intermediate": "189", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=264, |B|=282, |A∩B|=116 (compute |A∪B|), then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"430\"\nresult = \"7310\"", "target": "7310", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (264, 282, 116), 'lcm', 17)", "intermediate": "430", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=748, |B|=307, |A∩B|=114 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"941\"\nresult = \"7528\"", "target": "7528", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (748, 307, 114), 'lcm', 8)", "intermediate": "941", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=961, |B|=90, |A∩B|=62 (compute |A∪B|), then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"989\"\nresult = \"4945\"", "target": "4945", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (961, 90, 62), 'lcm', 5)", "intermediate": "989", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=748, |B|=221, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 68.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"935\"\nresult = \"3740\"", "target": "3740", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (748, 221, 34), 'lcm', 68)", "intermediate": "935", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=236, |B|=298, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"355\"\nresult = \"1420\"", "target": "1420", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (236, 298, 179), 'lcm', 20)", "intermediate": "355", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=141, |B|=152, |A∩B|=136 (compute |A∪B|), then apply lcm to the result and 16.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"157\"\nresult = \"2512\"", "target": "2512", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (141, 152, 136), 'lcm', 16)", "intermediate": "157", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=559, |B|=405, |A∩B|=157 (compute |A∪B|), then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"807\"\nresult = \"3228\"", "target": "3228", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (559, 405, 157), 'lcm', 12)", "intermediate": "807", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=578, |B|=378, |A∩B|=84 (compute |A∪B|), then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872\"\nresult = \"7848\"", "target": "7848", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (578, 378, 84), 'lcm', 72)", "intermediate": "872", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=639, |B|=200, |A∩B|=121 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"718\"\nresult = \"5026\"", "target": "5026", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (639, 200, 121), 'lcm', 14)", "intermediate": "718", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=189, |B|=467, |A∩B|=163 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"493\"\nresult = \"986\"", "target": "986", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (189, 467, 163), 'lcm', 2)", "intermediate": "493", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=113, |B|=224, |A∩B|=83 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"254\"\nresult = \"4826\"", "target": "4826", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (113, 224, 83), 'lcm', 19)", "intermediate": "254", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=766, |B|=167, |A∩B|=71 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"862\"\nresult = \"1724\"", "target": "1724", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (766, 167, 71), 'lcm', 4)", "intermediate": "862", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=772, |B|=254, |A∩B|=86 (compute |A∪B|), then apply lcm to the result and 50.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"940\"\nresult = \"4700\"", "target": "4700", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (772, 254, 86), 'lcm', 50)", "intermediate": "940", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=336, |B|=212, |A∩B|=153 (compute |A∪B|), then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"395\"\nresult = \"5135\"", "target": "5135", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (336, 212, 153), 'lcm', 13)", "intermediate": "395", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=614, |B|=378, |A∩B|=180 (compute |A∪B|), then apply lcm to the result and 42.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"812\"\nresult = \"2436\"", "target": "2436", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (614, 378, 180), 'lcm', 42)", "intermediate": "812", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=858, |B|=325, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"983\"\nresult = \"9830\"", "target": "9830", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (858, 325, 200), 'lcm', 10)", "intermediate": "983", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=240, |B|=943, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"983\"\nresult = \"2949\"", "target": "2949", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (240, 943, 200), 'lcm', 3)", "intermediate": "983", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=391, |B|=526, |A∩B|=174 (compute |A∪B|), then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"743\"\nresult = \"8173\"", "target": "8173", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (391, 526, 174), 'lcm', 11)", "intermediate": "743", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=344, |B|=474, |A∩B|=186 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632\"\nresult = \"1896\"", "target": "1896", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (344, 474, 186), 'lcm', 3)", "intermediate": "632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=153, |B|=806, |A∩B|=120 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"839\"\nresult = \"1678\"", "target": "1678", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (153, 806, 120), 'lcm', 2)", "intermediate": "839", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=182, |B|=176, |A∩B|=172 (compute |A∪B|), then apply lcm to the result and 41.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"186\"\nresult = \"7626\"", "target": "7626", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (182, 176, 172), 'lcm', 41)", "intermediate": "186", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=233, |B|=214, |A∩B|=124 (compute |A∪B|), then apply lcm to the result and 57.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"323\"\nresult = \"969\"", "target": "969", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (233, 214, 124), 'lcm', 57)", "intermediate": "323", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=285, |B|=543, |A∩B|=102 (compute |A∪B|), then apply lcm to the result and 15.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"726\"\nresult = \"3630\"", "target": "3630", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (285, 543, 102), 'lcm', 15)", "intermediate": "726", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=266, |B|=488, |A∩B|=33 (compute |A∪B|), then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"721\"\nresult = \"8652\"", "target": "8652", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (266, 488, 33), 'lcm', 12)", "intermediate": "721", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=141, |B|=274, |A∩B|=118 (compute |A∪B|), then apply lcm to the result and 57.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"297\"\nresult = \"5643\"", "target": "5643", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (141, 274, 118), 'lcm', 57)", "intermediate": "297", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=650, |B|=186, |A∩B|=152 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"684\"\nresult = \"4788\"", "target": "4788", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (650, 186, 152), 'lcm', 14)", "intermediate": "684", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=308, |B|=536, |A∩B|=185 (compute |A∪B|), then apply lcm to the result and 9.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"659\"\nresult = \"5931\"", "target": "5931", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (308, 536, 185), 'lcm', 9)", "intermediate": "659", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=351, |B|=363, |A∩B|=91 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"623\"\nresult = \"2492\"", "target": "2492", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (351, 363, 91), 'lcm', 4)", "intermediate": "623", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=695, |B|=257, |A∩B|=103 (compute |A∪B|), then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"849\"\nresult = \"5943\"", "target": "5943", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (695, 257, 103), 'lcm', 21)", "intermediate": "849", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=548, |B|=385, |A∩B|=176 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"757\"\nresult = \"3028\"", "target": "3028", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (548, 385, 176), 'lcm', 4)", "intermediate": "757", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=617, |B|=325, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"760\"\nresult = \"6840\"", "target": "6840", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (617, 325, 182), 'lcm', 72)", "intermediate": "760", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=467, |B|=495, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 27.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"789\"\nresult = \"7101\"", "target": "7101", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (467, 495, 173), 'lcm', 27)", "intermediate": "789", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=513, |B|=101, |A∩B|=39 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"575\"\nresult = \"3450\"", "target": "3450", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (513, 101, 39), 'lcm', 6)", "intermediate": "575", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=661, |B|=285, |A∩B|=138 (compute |A∪B|), then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"808\"\nresult = \"7272\"", "target": "7272", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (661, 285, 138), 'lcm', 18)", "intermediate": "808", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=123, |B|=334, |A∩B|=26 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"431\"\nresult = \"862\"", "target": "862", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (123, 334, 26), 'lcm', 2)", "intermediate": "431", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=131, |B|=84, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"148\"\nresult = \"740\"", "target": "740", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (131, 84, 67), 'lcm', 5)", "intermediate": "148", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=508, |B|=597, |A∩B|=199 (compute |A∪B|), then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"906\"\nresult = \"7248\"", "target": "7248", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (508, 597, 199), 'lcm', 48)", "intermediate": "906", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=201, |B|=81, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 33.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"203\"\nresult = \"6699\"", "target": "6699", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (201, 81, 79), 'lcm', 33)", "intermediate": "203", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=99, |B|=92, |A∩B|=68 (compute |A∪B|), then apply lcm to the result and 99.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"123\"\nresult = \"4059\"", "target": "4059", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (99, 92, 68), 'lcm', 99)", "intermediate": "123", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=754, |B|=202, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"874\"\nresult = \"8740\"", "target": "8740", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (754, 202, 82), 'lcm', 20)", "intermediate": "874", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=312, |B|=242, |A∩B|=146 (compute |A∪B|), then apply lcm to the result and 19.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"408\"\nresult = \"7752\"", "target": "7752", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (312, 242, 146), 'lcm', 19)", "intermediate": "408", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=411, |B|=205, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 26.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"460\"\nresult = \"5980\"", "target": "5980", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (411, 205, 156), 'lcm', 26)", "intermediate": "460", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=292, |B|=167, |A∩B|=108 (compute |A∪B|), then apply lcm to the result and 99.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"351\"\nresult = \"3861\"", "target": "3861", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (292, 167, 108), 'lcm', 99)", "intermediate": "351", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=756, |B|=374, |A∩B|=173 (compute |A∪B|), then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957\"\nresult = \"1914\"", "target": "1914", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (756, 374, 173), 'lcm', 66)", "intermediate": "957", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=446, |B|=719, |A∩B|=187 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"978\"\nresult = \"3912\"", "target": "3912", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (446, 719, 187), 'lcm', 8)", "intermediate": "978", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=206, |B|=264, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 10.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"381\"\nresult = \"3810\"", "target": "3810", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (206, 264, 89), 'lcm', 10)", "intermediate": "381", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=278, |B|=504, |A∩B|=67 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"715\"\nresult = \"5720\"", "target": "5720", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (278, 504, 67), 'lcm', 8)", "intermediate": "715", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=147, |B|=447, |A∩B|=34 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"560\"\nresult = \"1680\"", "target": "1680", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (147, 447, 34), 'lcm', 3)", "intermediate": "560", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=159, |B|=437, |A∩B|=131 (compute |A∪B|), then apply lcm to the result and 51.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"465\"\nresult = \"7905\"", "target": "7905", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (159, 437, 131), 'lcm', 51)", "intermediate": "465", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=307, |B|=243, |A∩B|=65 (compute |A∪B|), then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"485\"\nresult = \"5820\"", "target": "5820", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (307, 243, 65), 'lcm', 60)", "intermediate": "485", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=390, |B|=431, |A∩B|=86 (compute |A∪B|), then apply lcm to the result and 77.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"735\"\nresult = \"8085\"", "target": "8085", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (390, 431, 86), 'lcm', 77)", "intermediate": "735", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=183, |B|=529, |A∩B|=111 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"601\"\nresult = \"1803\"", "target": "1803", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (183, 529, 111), 'lcm', 3)", "intermediate": "601", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=354, |B|=305, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"498\"\nresult = \"2988\"", "target": "2988", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (354, 305, 161), 'lcm', 36)", "intermediate": "498", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=472, |B|=354, |A∩B|=182 (compute |A∪B|), then apply lcm to the result and 13.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"644\"\nresult = \"8372\"", "target": "8372", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (472, 354, 182), 'lcm', 13)", "intermediate": "644", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=226, |B|=432, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"458\"\nresult = \"5038\"", "target": "5038", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (226, 432, 200), 'lcm', 11)", "intermediate": "458", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=335, |B|=302, |A∩B|=179 (compute |A∪B|), then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"458\"\nresult = \"4122\"", "target": "4122", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (335, 302, 179), 'lcm', 18)", "intermediate": "458", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=214, |B|=245, |A∩B|=109 (compute |A∪B|), then apply lcm to the result and 3.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"350\"\nresult = \"1050\"", "target": "1050", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (214, 245, 109), 'lcm', 3)", "intermediate": "350", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=797, |B|=205, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"802\"\nresult = \"3208\"", "target": "3208", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (797, 205, 200), 'lcm', 8)", "intermediate": "802", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=594, |B|=523, |A∩B|=190 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"927\"\nresult = \"7416\"", "target": "7416", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (594, 523, 190), 'lcm', 8)", "intermediate": "927", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=481, |B|=326, |A∩B|=153 (compute |A∪B|), then apply lcm to the result and 66.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"654\"\nresult = \"7194\"", "target": "7194", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (481, 326, 153), 'lcm', 66)", "intermediate": "654", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=124, |B|=246, |A∩B|=66 (compute |A∪B|), then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"304\"\nresult = \"7600\"", "target": "7600", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (124, 246, 66), 'lcm', 25)", "intermediate": "304", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=322, |B|=312, |A∩B|=82 (compute |A∪B|), then apply lcm to the result and 30.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"552\"\nresult = \"2760\"", "target": "2760", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (322, 312, 82), 'lcm', 30)", "intermediate": "552", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=125, |B|=859, |A∩B|=79 (compute |A∪B|), then apply lcm to the result and 25.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"905\"\nresult = \"4525\"", "target": "4525", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (125, 859, 79), 'lcm', 25)", "intermediate": "905", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=679, |B|=248, |A∩B|=44 (compute |A∪B|), then apply lcm to the result and 4.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"883\"\nresult = \"3532\"", "target": "3532", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (679, 248, 44), 'lcm', 4)", "intermediate": "883", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=444, |B|=271, |A∩B|=89 (compute |A∪B|), then apply lcm to the result and 28.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"626\"\nresult = \"8764\"", "target": "8764", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (444, 271, 89), 'lcm', 28)", "intermediate": "626", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=154, |B|=128, |A∩B|=119 (compute |A∪B|), then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"163\"\nresult = \"815\"", "target": "815", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (154, 128, 119), 'lcm', 5)", "intermediate": "163", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=575, |B|=191, |A∩B|=134 (compute |A∪B|), then apply lcm to the result and 80.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632\"\nresult = \"6320\"", "target": "6320", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (575, 191, 134), 'lcm', 80)", "intermediate": "632", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=534, |B|=479, |A∩B|=146 (compute |A∪B|), then apply lcm to the result and 18.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867\"\nresult = \"5202\"", "target": "5202", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (534, 479, 146), 'lcm', 18)", "intermediate": "867", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=246, |B|=332, |A∩B|=156 (compute |A∪B|), then apply lcm to the result and 8.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"422\"\nresult = \"1688\"", "target": "1688", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (246, 332, 156), 'lcm', 8)", "intermediate": "422", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=170, |B|=459, |A∩B|=132 (compute |A∪B|), then apply lcm to the result and 20.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"497\"\nresult = \"9940\"", "target": "9940", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (170, 459, 132), 'lcm', 20)", "intermediate": "497", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=270, |B|=159, |A∩B|=118 (compute |A∪B|), then apply lcm to the result and 12.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"311\"\nresult = \"3732\"", "target": "3732", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (270, 159, 118), 'lcm', 12)", "intermediate": "311", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=443, |B|=605, |A∩B|=200 (compute |A∪B|), then apply lcm to the result and 14.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"848\"\nresult = \"5936\"", "target": "5936", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (443, 605, 200), 'lcm', 14)", "intermediate": "848", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=383, |B|=132, |A∩B|=22 (compute |A∪B|), then apply lcm to the result and 11.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"493\"\nresult = \"5423\"", "target": "5423", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (383, 132, 22), 'lcm', 11)", "intermediate": "493", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=402, |B|=291, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 78.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"650\"\nresult = \"1950\"", "target": "1950", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (402, 291, 43), 'lcm', 78)", "intermediate": "650", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=211, |B|=596, |A∩B|=196 (compute |A∪B|), then apply lcm to the result and 6.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"611\"\nresult = \"3666\"", "target": "3666", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (211, 596, 196), 'lcm', 6)", "intermediate": "611", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=81, |B|=82, |A∩B|=22 (compute |A∪B|), then apply lcm to the result and 72.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"141\"\nresult = \"3384\"", "target": "3384", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (81, 82, 22), 'lcm', 72)", "intermediate": "141", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=238, |B|=327, |A∩B|=109 (compute |A∪B|), then apply lcm to the result and 54.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"456\"\nresult = \"4104\"", "target": "4104", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (238, 327, 109), 'lcm', 54)", "intermediate": "456", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=170, |B|=171, |A∩B|=160 (compute |A∪B|), then apply lcm to the result and 2.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"181\"\nresult = \"362\"", "target": "362", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (170, 171, 160), 'lcm', 2)", "intermediate": "181", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=275, |B|=213, |A∩B|=199 (compute |A∪B|), then apply lcm to the result and 5.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"289\"\nresult = \"1445\"", "target": "1445", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (275, 213, 199), 'lcm', 5)", "intermediate": "289", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=134, |B|=134, |A∩B|=107 (compute |A∪B|), then apply lcm to the result and 38.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"161\"\nresult = \"6118\"", "target": "6118", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (134, 134, 107), 'lcm', 38)", "intermediate": "161", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=223, |B|=314, |A∩B|=54 (compute |A∪B|), then apply lcm to the result and 36.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"483\"\nresult = \"5796\"", "target": "5796", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (223, 314, 54), 'lcm', 36)", "intermediate": "483", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=448, |B|=257, |A∩B|=21 (compute |A∪B|), then apply lcm to the result and 40.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"684\"\nresult = \"6840\"", "target": "6840", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (448, 257, 21), 'lcm', 40)", "intermediate": "684", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=381, |B|=294, |A∩B|=135 (compute |A∪B|), then apply lcm to the result and 85.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"540\"\nresult = \"9180\"", "target": "9180", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (381, 294, 135), 'lcm', 85)", "intermediate": "540", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=406, |B|=130, |A∩B|=48 (compute |A∪B|), then apply lcm to the result and 32.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"488\"\nresult = \"1952\"", "target": "1952", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (406, 130, 48), 'lcm', 32)", "intermediate": "488", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=323, |B|=201, |A∩B|=175 (compute |A∪B|), then apply lcm to the result and 17.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"349\"\nresult = \"5933\"", "target": "5933", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (323, 201, 175), 'lcm', 17)", "intermediate": "349", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=215, |B|=282, |A∩B|=161 (compute |A∪B|), then apply lcm to the result and 51.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"336\"\nresult = \"5712\"", "target": "5712", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (215, 282, 161), 'lcm', 51)", "intermediate": "336", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=384, |B|=112, |A∩B|=43 (compute |A∪B|), then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"453\"\nresult = \"9060\"", "target": "9060", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (384, 112, 43), 'lcm', 60)", "intermediate": "453", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=80, |B|=92, |A∩B|=38 (compute |A∪B|), then apply lcm to the result and 60.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"134\"\nresult = \"4020\"", "target": "4020", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (80, 92, 38), 'lcm', 60)", "intermediate": "134", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=315, |B|=434, |A∩B|=177 (compute |A∪B|), then apply lcm to the result and 48.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"572\"\nresult = \"6864\"", "target": "6864", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (315, 434, 177), 'lcm', 48)", "intermediate": "572", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=155, |B|=227, |A∩B|=128 (compute |A∪B|), then apply lcm to the result and 21.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"254\"\nresult = \"5334\"", "target": "5334", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (155, 227, 128), 'lcm', 21)", "intermediate": "254", "split_id": 0} {"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"\"."}, {"role": "user", "content": "Apply venn to the sets |A|=88, |B|=84, |A∩B|=52 (compute |A∪B|), then apply lcm to the result and 58.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"120\"\nresult = \"3480\"", "target": "3480", "fn_f": "lcm", "fn_g": "venn", "fn_chain": "lcm|venn", "input_str": "('mm', 'venn', (88, 84, 52), 'lcm', 58)", "intermediate": "120", "split_id": 0}