{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5504 and 30272, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5504 and 30272 is 2752. Then, Multiply the result 2752 by 3: 2752 * 3 = 8256.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 990 and 3465, then apply multiply to the result and 19.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 990 and 3465 is 495. Then, Multiply the result 495 by 19: 495 * 19 = 9405.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3484 and 4355, then apply multiply to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3484 and 4355 is 871. Then, Multiply the result 871 by 11: 871 * 11 = 9581.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5175 and 6325, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5175 and 6325 is 575. Then, Multiply the result 575 by 8: 575 * 8 = 4600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 814 and 2849, then apply multiply to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 814 and 2849 is 407. Then, Multiply the result 407 by 15: 407 * 15 = 6105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4672 and 5256, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4672 and 5256 is 584. Then, Multiply the result 584 by 5: 584 * 5 = 2920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11568 and 13496, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11568 and 13496 is 1928. Then, Multiply the result 1928 by 2: 1928 * 2 = 3856.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24135 and 43443, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24135 and 43443 is 4827. Then, Multiply the result 4827 by 2: 4827 * 2 = 9654.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 37280 and 51260, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 37280 and 51260 is 4660. Then, Multiply the result 4660 by 2: 4660 * 2 = 9320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9888 and 22248, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9888 and 22248 is 2472. Then, Multiply the result 2472 by 2: 2472 * 2 = 4944.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 37512 and 42201, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 37512 and 42201 is 4689. Then, Multiply the result 4689 by 2: 4689 * 2 = 9378.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24996 and 45826, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24996 and 45826 is 4166. Then, Multiply the result 4166 by 2: 4166 * 2 = 8332.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10692 and 29403, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10692 and 29403 is 2673. Then, Multiply the result 2673 by 3: 2673 * 3 = 8019.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9186 and 30620, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9186 and 30620 is 3062. Then, Multiply the result 3062 by 2: 3062 * 2 = 6124.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11004 and 12576, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11004 and 12576 is 1572. Then, Multiply the result 1572 by 3: 1572 * 3 = 4716.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3850 and 6930, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3850 and 6930 is 770. Then, Multiply the result 770 by 6: 770 * 6 = 4620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 22010 and 26412, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 22010 and 26412 is 4402. Then, Multiply the result 4402 by 2: 4402 * 2 = 8804.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11328 and 37760, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11328 and 37760 is 3776. Then, Multiply the result 3776 by 2: 3776 * 2 = 7552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5335 and 7469, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5335 and 7469 is 1067. Then, Multiply the result 1067 by 8: 1067 * 8 = 8536.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10157 and 14510, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10157 and 14510 is 1451. Then, Multiply the result 1451 by 4: 1451 * 4 = 5804.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12105 and 14795, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12105 and 14795 is 1345. Then, Multiply the result 1345 by 5: 1345 * 5 = 6725.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 23355 and 42039, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 23355 and 42039 is 4671. Then, Multiply the result 4671 by 2: 4671 * 2 = 9342.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 20202 and 23088, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 20202 and 23088 is 2886. Then, Multiply the result 2886 by 3: 2886 * 3 = 8658.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24845 and 29814, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24845 and 29814 is 4969. Then, Multiply the result 4969 by 2: 4969 * 2 = 9938.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5304 and 5967, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5304 and 5967 is 663. Then, Multiply the result 663 by 3: 663 * 3 = 1989.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11555 and 13866, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11555 and 13866 is 2311. Then, Multiply the result 2311 by 4: 2311 * 4 = 9244.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1264 and 3160, then apply multiply to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1264 and 3160 is 632. Then, Multiply the result 632 by 13: 632 * 13 = 8216.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15816 and 18452, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15816 and 18452 is 2636. Then, Multiply the result 2636 by 3: 2636 * 3 = 7908.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17017 and 19448, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17017 and 19448 is 2431. Then, Multiply the result 2431 by 3: 2431 * 3 = 7293.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9033 and 12044, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9033 and 12044 is 3011. Then, Multiply the result 3011 by 2: 3011 * 2 = 6022.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4908 and 26994, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4908 and 26994 is 2454. Then, Multiply the result 2454 by 4: 2454 * 4 = 9816.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8512 and 14896, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8512 and 14896 is 2128. Then, Multiply the result 2128 by 3: 2128 * 3 = 6384.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15116 and 26453, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15116 and 26453 is 3779. Then, Multiply the result 3779 by 2: 3779 * 2 = 7558.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9768 and 10989, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9768 and 10989 is 1221. Then, Multiply the result 1221 by 5: 1221 * 5 = 6105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13821 and 36856, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13821 and 36856 is 4607. Then, Multiply the result 4607 by 2: 4607 * 2 = 9214.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 18234 and 33429, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 18234 and 33429 is 3039. Then, Multiply the result 3039 by 3: 3039 * 3 = 9117.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3086 and 16973, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3086 and 16973 is 1543. Then, Multiply the result 1543 by 3: 1543 * 3 = 4629.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14778 and 19704, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14778 and 19704 is 4926. Then, Multiply the result 4926 by 2: 4926 * 2 = 9852.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17660 and 28256, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17660 and 28256 is 3532. Then, Multiply the result 3532 by 2: 3532 * 2 = 7064.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14217 and 52129, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14217 and 52129 is 4739. Then, Multiply the result 4739 by 2: 4739 * 2 = 9478.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21610 and 47542, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21610 and 47542 is 4322. Then, Multiply the result 4322 by 2: 4322 * 2 = 8644.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 34560 and 38400, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 34560 and 38400 is 3840. Then, Multiply the result 3840 by 2: 3840 * 2 = 7680.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13440 and 23520, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13440 and 23520 is 3360. Then, Multiply the result 3360 by 2: 3360 * 2 = 6720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4740 and 5688, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4740 and 5688 is 948. Then, Multiply the result 948 by 8: 948 * 8 = 7584.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7240 and 19910, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7240 and 19910 is 1810. Then, Multiply the result 1810 by 3: 1810 * 3 = 5430.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3000 and 11000, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3000 and 11000 is 1000. Then, Multiply the result 1000 by 2: 1000 * 2 = 2000.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1876 and 2814, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1876 and 2814 is 938. Then, Multiply the result 938 by 4: 938 * 4 = 3752.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 616 and 2156, then apply multiply to the result and 29.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 616 and 2156 is 308. Then, Multiply the result 308 by 29: 308 * 29 = 8932.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7896 and 9212, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7896 and 9212 is 1316. Then, Multiply the result 1316 by 4: 1316 * 4 = 5264.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14725 and 32395, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14725 and 32395 is 2945. Then, Multiply the result 2945 by 3: 2945 * 3 = 8835.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16392 and 45078, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16392 and 45078 is 4098. Then, Multiply the result 4098 by 2: 4098 * 2 = 8196.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12189 and 40630, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12189 and 40630 is 4063. Then, Multiply the result 4063 by 2: 4063 * 2 = 8126.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2560 and 11520, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2560 and 11520 is 1280. Then, Multiply the result 1280 by 7: 1280 * 7 = 8960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 20342 and 26154, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 20342 and 26154 is 2906. Then, Multiply the result 2906 by 3: 2906 * 3 = 8718.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 32160 and 36180, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 32160 and 36180 is 4020. Then, Multiply the result 4020 by 2: 4020 * 2 = 8040.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17708 and 22135, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17708 and 22135 is 4427. Then, Multiply the result 4427 by 2: 4427 * 2 = 8854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 40941 and 50039, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 40941 and 50039 is 4549. Then, Multiply the result 4549 by 2: 4549 * 2 = 9098.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13278 and 44260, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13278 and 44260 is 4426. Then, Multiply the result 4426 by 2: 4426 * 2 = 8852.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11195 and 15673, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11195 and 15673 is 2239. Then, Multiply the result 2239 by 3: 2239 * 3 = 6717.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5872 and 7340, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5872 and 7340 is 1468. Then, Multiply the result 1468 by 3: 1468 * 3 = 4404.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 22310 and 35696, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 22310 and 35696 is 4462. Then, Multiply the result 4462 by 2: 4462 * 2 = 8924.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9635 and 21197, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9635 and 21197 is 1927. Then, Multiply the result 1927 by 3: 1927 * 3 = 5781.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16488 and 18549, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16488 and 18549 is 2061. Then, Multiply the result 2061 by 3: 2061 * 3 = 6183.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21084 and 27108, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21084 and 27108 is 3012. Then, Multiply the result 3012 by 2: 3012 * 2 = 6024.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2296 and 3608, then apply multiply to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2296 and 3608 is 328. Then, Multiply the result 328 by 10: 328 * 10 = 3280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11904 and 31744, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11904 and 31744 is 3968. Then, Multiply the result 3968 by 2: 3968 * 2 = 7936.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11680 and 32120, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11680 and 32120 is 2920. Then, Multiply the result 2920 by 3: 2920 * 3 = 8760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2808 and 6552, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2808 and 6552 is 936. Then, Multiply the result 936 by 9: 936 * 9 = 8424.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 20265 and 44583, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 20265 and 44583 is 4053. Then, Multiply the result 4053 by 2: 4053 * 2 = 8106.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 36243 and 44297, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 36243 and 44297 is 4027. Then, Multiply the result 4027 by 2: 4027 * 2 = 8054.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6352 and 7146, then apply multiply to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6352 and 7146 is 794. Then, Multiply the result 794 by 12: 794 * 12 = 9528.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9738 and 11902, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9738 and 11902 is 1082. Then, Multiply the result 1082 by 8: 1082 * 8 = 8656.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8660 and 10392, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8660 and 10392 is 1732. Then, Multiply the result 1732 by 3: 1732 * 3 = 5196.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25578 and 40194, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25578 and 40194 is 3654. Then, Multiply the result 3654 by 2: 3654 * 2 = 7308.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5670 and 8910, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5670 and 8910 is 810. Then, Multiply the result 810 by 8: 810 * 8 = 6480.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15576 and 27258, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15576 and 27258 is 3894. Then, Multiply the result 3894 by 2: 3894 * 2 = 7788.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 650 and 3575, then apply multiply to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 650 and 3575 is 325. Then, Multiply the result 325 by 20: 325 * 20 = 6500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 27384 and 43032, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 27384 and 43032 is 3912. Then, Multiply the result 3912 by 2: 3912 * 2 = 7824.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24905 and 29886, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24905 and 29886 is 4981. Then, Multiply the result 4981 by 2: 4981 * 2 = 9962.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6885 and 11016, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6885 and 11016 is 1377. Then, Multiply the result 1377 by 6: 1377 * 6 = 8262.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4705 and 6587, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4705 and 6587 is 941. Then, Multiply the result 941 by 4: 941 * 4 = 3764.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 29224 and 40183, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 29224 and 40183 is 3653. Then, Multiply the result 3653 by 2: 3653 * 2 = 7306.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3656 and 5484, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3656 and 5484 is 1828. Then, Multiply the result 1828 by 4: 1828 * 4 = 7312.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14712 and 53944, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14712 and 53944 is 4904. Then, Multiply the result 4904 by 2: 4904 * 2 = 9808.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 18236 and 41031, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 18236 and 41031 is 4559. Then, Multiply the result 4559 by 2: 4559 * 2 = 9118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5382 and 6578, then apply multiply to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5382 and 6578 is 598. Then, Multiply the result 598 by 13: 598 * 13 = 7774.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 26982 and 29980, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 26982 and 29980 is 2998. Then, Multiply the result 2998 by 3: 2998 * 3 = 8994.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 39024 and 43902, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 39024 and 43902 is 4878. Then, Multiply the result 4878 by 2: 4878 * 2 = 9756.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21940 and 30716, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21940 and 30716 is 4388. Then, Multiply the result 4388 by 2: 4388 * 2 = 8776.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25935 and 37050, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25935 and 37050 is 3705. Then, Multiply the result 3705 by 2: 3705 * 2 = 7410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 924 and 1320, then apply multiply to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 924 and 1320 is 132. Then, Multiply the result 132 by 21: 132 * 21 = 2772.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3022 and 16621, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3022 and 16621 is 1511. Then, Multiply the result 1511 by 5: 1511 * 5 = 7555.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5425 and 8680, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5425 and 8680 is 1085. Then, Multiply the result 1085 by 2: 1085 * 2 = 2170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16620 and 30470, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16620 and 30470 is 2770. Then, Multiply the result 2770 by 3: 2770 * 3 = 8310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1695 and 3955, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1695 and 3955 is 565. Then, Multiply the result 565 by 8: 565 * 8 = 4520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17036 and 46849, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17036 and 46849 is 4259. Then, Multiply the result 4259 by 2: 4259 * 2 = 8518.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2476 and 6809, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2476 and 6809 is 619. Then, Multiply the result 619 by 7: 619 * 7 = 4333.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21205 and 46651, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21205 and 46651 is 4241. Then, Multiply the result 4241 by 2: 4241 * 2 = 8482.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 31276 and 49148, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 31276 and 49148 is 4468. Then, Multiply the result 4468 by 2: 4468 * 2 = 8936.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12777 and 29813, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12777 and 29813 is 4259. Then, Multiply the result 4259 by 2: 4259 * 2 = 8518.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 42147 and 46830, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 42147 and 46830 is 4683. Then, Multiply the result 4683 by 2: 4683 * 2 = 9366.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4384 and 7672, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4384 and 7672 is 1096. Then, Multiply the result 1096 by 9: 1096 * 9 = 9864.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 18060 and 28380, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 18060 and 28380 is 2580. Then, Multiply the result 2580 by 2: 2580 * 2 = 5160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6198 and 34089, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6198 and 34089 is 3099. Then, Multiply the result 3099 by 3: 3099 * 3 = 9297.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4896 and 13464, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4896 and 13464 is 1224. Then, Multiply the result 1224 by 3: 1224 * 3 = 3672.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3484 and 6097, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3484 and 6097 is 871. Then, Multiply the result 871 by 9: 871 * 9 = 7839.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8598 and 15763, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8598 and 15763 is 1433. Then, Multiply the result 1433 by 3: 1433 * 3 = 4299.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9954 and 11376, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9954 and 11376 is 1422. Then, Multiply the result 1422 by 5: 1422 * 5 = 7110.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17292 and 30261, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17292 and 30261 is 4323. Then, Multiply the result 4323 by 2: 4323 * 2 = 8646.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10653 and 17755, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10653 and 17755 is 3551. Then, Multiply the result 3551 by 2: 3551 * 2 = 7102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5418 and 18963, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5418 and 18963 is 2709. Then, Multiply the result 2709 by 3: 2709 * 3 = 8127.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 777 and 2849, then apply multiply to the result and 37.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 777 and 2849 is 259. Then, Multiply the result 259 by 37: 259 * 37 = 9583.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15428 and 42427, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15428 and 42427 is 3857. Then, Multiply the result 3857 by 2: 3857 * 2 = 7714.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17748 and 19720, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17748 and 19720 is 1972. Then, Multiply the result 1972 by 2: 1972 * 2 = 3944.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2364 and 6304, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2364 and 6304 is 788. Then, Multiply the result 788 by 6: 788 * 6 = 4728.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3816 and 4240, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3816 and 4240 is 424. Then, Multiply the result 424 by 7: 424 * 7 = 2968.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16205 and 23150, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16205 and 23150 is 2315. Then, Multiply the result 2315 by 2: 2315 * 2 = 4630.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 28472 and 39149, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 28472 and 39149 is 3559. Then, Multiply the result 3559 by 2: 3559 * 2 = 7118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5558 and 19453, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5558 and 19453 is 2779. Then, Multiply the result 2779 by 3: 2779 * 3 = 8337.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 32256 and 35840, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 32256 and 35840 is 3584. Then, Multiply the result 3584 by 2: 3584 * 2 = 7168.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4606 and 6909, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4606 and 6909 is 2303. Then, Multiply the result 2303 by 4: 2303 * 4 = 9212.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5775 and 9075, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5775 and 9075 is 825. Then, Multiply the result 825 by 6: 825 * 6 = 4950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1935 and 5160, then apply multiply to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1935 and 5160 is 645. Then, Multiply the result 645 by 15: 645 * 15 = 9675.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4384 and 12056, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4384 and 12056 is 1096. Then, Multiply the result 1096 by 2: 1096 * 2 = 2192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14390 and 23024, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14390 and 23024 is 2878. Then, Multiply the result 2878 by 3: 2878 * 3 = 8634.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11470 and 25234, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11470 and 25234 is 2294. Then, Multiply the result 2294 by 2: 2294 * 2 = 4588.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2265 and 3171, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2265 and 3171 is 453. Then, Multiply the result 453 by 9: 453 * 9 = 4077.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2988 and 3984, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2988 and 3984 is 996. Then, Multiply the result 996 by 6: 996 * 6 = 5976.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1536 and 2048, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1536 and 2048 is 512. Then, Multiply the result 512 by 8: 512 * 8 = 4096.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15930 and 18585, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15930 and 18585 is 2655. Then, Multiply the result 2655 by 3: 2655 * 3 = 7965.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 31150 and 44500, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 31150 and 44500 is 4450. Then, Multiply the result 4450 by 2: 4450 * 2 = 8900.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4671 and 12456, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4671 and 12456 is 1557. Then, Multiply the result 1557 by 4: 1557 * 4 = 6228.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 744 and 1984, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 744 and 1984 is 248. Then, Multiply the result 248 by 4: 248 * 4 = 992.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 450 and 675, then apply multiply to the result and 34.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 450 and 675 is 225. Then, Multiply the result 225 by 34: 225 * 34 = 7650.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13842 and 23070, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13842 and 23070 is 4614. Then, Multiply the result 4614 by 2: 4614 * 2 = 9228.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 19008 and 23232, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 19008 and 23232 is 2112. Then, Multiply the result 2112 by 3: 2112 * 3 = 6336.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5820 and 10670, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5820 and 10670 is 970. Then, Multiply the result 970 by 8: 970 * 8 = 7760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 20775 and 33240, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 20775 and 33240 is 4155. Then, Multiply the result 4155 by 2: 4155 * 2 = 8310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12750 and 42500, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12750 and 42500 is 4250. Then, Multiply the result 4250 by 2: 4250 * 2 = 8500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4360 and 4905, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4360 and 4905 is 545. Then, Multiply the result 545 by 6: 545 * 6 = 3270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 432 and 1512, then apply multiply to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 432 and 1512 is 216. Then, Multiply the result 216 by 42: 216 * 42 = 9072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8772 and 19737, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8772 and 19737 is 2193. Then, Multiply the result 2193 by 2: 2193 * 2 = 4386.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1106 and 3871, then apply multiply to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1106 and 3871 is 553. Then, Multiply the result 553 by 14: 553 * 14 = 7742.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25464 and 46684, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25464 and 46684 is 4244. Then, Multiply the result 4244 by 2: 4244 * 2 = 8488.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14588 and 16672, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14588 and 16672 is 2084. Then, Multiply the result 2084 by 3: 2084 * 3 = 6252.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1880 and 5170, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1880 and 5170 is 470. Then, Multiply the result 470 by 7: 470 * 7 = 3290.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4170 and 11120, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4170 and 11120 is 1390. Then, Multiply the result 1390 by 5: 1390 * 5 = 6950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 387 and 1032, then apply multiply to the result and 48.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 387 and 1032 is 129. Then, Multiply the result 129 by 48: 129 * 48 = 6192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13970 and 22352, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13970 and 22352 is 2794. Then, Multiply the result 2794 by 3: 2794 * 3 = 8382.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4204 and 10510, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4204 and 10510 is 2102. Then, Multiply the result 2102 by 3: 2102 * 3 = 6306.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7536 and 9420, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7536 and 9420 is 1884. Then, Multiply the result 1884 by 3: 1884 * 3 = 5652.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 324 and 1188, then apply multiply to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 324 and 1188 is 108. Then, Multiply the result 108 by 50: 108 * 50 = 5400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25308 and 29526, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25308 and 29526 is 4218. Then, Multiply the result 4218 by 2: 4218 * 2 = 8436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10665 and 14931, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10665 and 14931 is 2133. Then, Multiply the result 2133 by 2: 2133 * 2 = 4266.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5112 and 8946, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5112 and 8946 is 1278. Then, Multiply the result 1278 by 6: 1278 * 6 = 7668.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1764 and 3087, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1764 and 3087 is 441. Then, Multiply the result 441 by 2: 441 * 2 = 882.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7662 and 25540, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7662 and 25540 is 2554. Then, Multiply the result 2554 by 2: 2554 * 2 = 5108.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3960 and 7128, then apply multiply to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3960 and 7128 is 792. Then, Multiply the result 792 by 10: 792 * 10 = 7920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8226 and 15081, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8226 and 15081 is 1371. Then, Multiply the result 1371 by 7: 1371 * 7 = 9597.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 19948 and 34909, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 19948 and 34909 is 4987. Then, Multiply the result 4987 by 2: 4987 * 2 = 9974.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2570 and 6425, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2570 and 6425 is 1285. Then, Multiply the result 1285 by 7: 1285 * 7 = 8995.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25812 and 30114, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25812 and 30114 is 4302. Then, Multiply the result 4302 by 2: 4302 * 2 = 8604.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 34188 and 53724, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 34188 and 53724 is 4884. Then, Multiply the result 4884 by 2: 4884 * 2 = 9768.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7140 and 8330, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7140 and 8330 is 1190. Then, Multiply the result 1190 by 4: 1190 * 4 = 4760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3836 and 6713, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3836 and 6713 is 959. Then, Multiply the result 959 by 9: 959 * 9 = 8631.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 26718 and 48983, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 26718 and 48983 is 4453. Then, Multiply the result 4453 by 2: 4453 * 2 = 8906.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12324 and 32864, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12324 and 32864 is 4108. Then, Multiply the result 4108 by 2: 4108 * 2 = 8216.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 26901 and 42273, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 26901 and 42273 is 3843. Then, Multiply the result 3843 by 2: 3843 * 2 = 7686.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 37980 and 42200, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 37980 and 42200 is 4220. Then, Multiply the result 4220 by 2: 4220 * 2 = 8440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15155 and 23815, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15155 and 23815 is 2165. Then, Multiply the result 2165 by 2: 2165 * 2 = 4330.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6825 and 15925, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6825 and 15925 is 2275. Then, Multiply the result 2275 by 4: 2275 * 4 = 9100.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5343 and 12467, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5343 and 12467 is 1781. Then, Multiply the result 1781 by 5: 1781 * 5 = 8905.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 33168 and 45606, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 33168 and 45606 is 4146. Then, Multiply the result 4146 by 2: 4146 * 2 = 8292.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3640 and 4368, then apply multiply to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3640 and 4368 is 728. Then, Multiply the result 728 by 12: 728 * 12 = 8736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17171 and 24530, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17171 and 24530 is 2453. Then, Multiply the result 2453 by 2: 2453 * 2 = 4906.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3448 and 12068, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3448 and 12068 is 1724. Then, Multiply the result 1724 by 3: 1724 * 3 = 5172.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13806 and 25311, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13806 and 25311 is 2301. Then, Multiply the result 2301 by 2: 2301 * 2 = 4602.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11298 and 20713, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11298 and 20713 is 1883. Then, Multiply the result 1883 by 5: 1883 * 5 = 9415.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17374 and 19856, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17374 and 19856 is 2482. Then, Multiply the result 2482 by 4: 2482 * 4 = 9928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9756 and 26829, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9756 and 26829 is 2439. Then, Multiply the result 2439 by 3: 2439 * 3 = 7317.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 27440 and 39200, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 27440 and 39200 is 3920. Then, Multiply the result 3920 by 2: 3920 * 2 = 7840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13794 and 22990, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13794 and 22990 is 4598. Then, Multiply the result 4598 by 2: 4598 * 2 = 9196.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 729 and 2430, then apply multiply to the result and 31.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 729 and 2430 is 243. Then, Multiply the result 243 by 31: 243 * 31 = 7533.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5808 and 6534, then apply multiply to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5808 and 6534 is 726. Then, Multiply the result 726 by 10: 726 * 10 = 7260.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11343 and 30248, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11343 and 30248 is 3781. Then, Multiply the result 3781 by 2: 3781 * 2 = 7562.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16362 and 19998, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16362 and 19998 is 1818. Then, Multiply the result 1818 by 3: 1818 * 3 = 5454.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3555 and 6399, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3555 and 6399 is 711. Then, Multiply the result 711 by 3: 711 * 3 = 2133.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8827 and 11349, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8827 and 11349 is 1261. Then, Multiply the result 1261 by 6: 1261 * 6 = 7566.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8976 and 11220, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8976 and 11220 is 2244. Then, Multiply the result 2244 by 2: 2244 * 2 = 4488.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12801 and 34136, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12801 and 34136 is 4267. Then, Multiply the result 4267 by 2: 4267 * 2 = 8534.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16328 and 28574, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16328 and 28574 is 4082. Then, Multiply the result 4082 by 2: 4082 * 2 = 8164.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2806 and 4209, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2806 and 4209 is 1403. Then, Multiply the result 1403 by 5: 1403 * 5 = 7015.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15168 and 26544, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15168 and 26544 is 3792. Then, Multiply the result 3792 by 2: 3792 * 2 = 7584.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9543 and 34991, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9543 and 34991 is 3181. Then, Multiply the result 3181 by 2: 3181 * 2 = 6362.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 22968 and 25839, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 22968 and 25839 is 2871. Then, Multiply the result 2871 by 3: 2871 * 3 = 8613.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 9747 and 11913, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 9747 and 11913 is 1083. Then, Multiply the result 1083 by 5: 1083 * 5 = 5415.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1764 and 1960, then apply multiply to the result and 49.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1764 and 1960 is 196. Then, Multiply the result 196 by 49: 196 * 49 = 9604.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2528 and 4424, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2528 and 4424 is 632. Then, Multiply the result 632 by 8: 632 * 8 = 5056.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25242 and 36060, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25242 and 36060 is 3606. Then, Multiply the result 3606 by 2: 3606 * 2 = 7212.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1485 and 3960, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1485 and 3960 is 495. Then, Multiply the result 495 by 5: 495 * 5 = 2475.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 158 and 20, then apply gcf to the result and 20856.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 158 by 20: 158 * 20 = 3160. Then, The greatest common factor of 3160 and 20856 is 632.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 53 and 20, then apply gcf to the result and 9010.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 53 by 20: 53 * 20 = 1060. Then, The greatest common factor of 1060 and 9010 is 530.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 119 and 84, then apply gcf to the result and 84966.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 119 by 84: 119 * 84 = 9996. Then, The greatest common factor of 9996 and 84966 is 4998.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 46 and 61, then apply gcf to the result and 4392.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 61: 46 * 61 = 2806. Then, The greatest common factor of 2806 and 4392 is 122.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 105 and 73, then apply gcf to the result and 6570.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 105 by 73: 105 * 73 = 7665. Then, The greatest common factor of 7665 and 6570 is 1095.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 69, then apply gcf to the result and 966.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 69: 52 * 69 = 3588. Then, The greatest common factor of 3588 and 966 is 138.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 50 and 110, then apply gcf to the result and 14500.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 50 by 110: 50 * 110 = 5500. Then, The greatest common factor of 5500 and 14500 is 500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 82 and 48, then apply gcf to the result and 4264.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 82 by 48: 82 * 48 = 3936. Then, The greatest common factor of 3936 and 4264 is 328.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 57 and 134, then apply gcf to the result and 4623.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 57 by 134: 57 * 134 = 7638. Then, The greatest common factor of 7638 and 4623 is 201.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 93 and 74, then apply gcf to the result and 19499.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 93 by 74: 93 * 74 = 6882. Then, The greatest common factor of 6882 and 19499 is 1147.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 28 and 54, then apply gcf to the result and 6216.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 54: 28 * 54 = 1512. Then, The greatest common factor of 1512 and 6216 is 168.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 124 and 37, then apply gcf to the result and 11470.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 124 by 37: 124 * 37 = 4588. Then, The greatest common factor of 4588 and 11470 is 2294.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 136 and 47, then apply gcf to the result and 11656.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 136 by 47: 136 * 47 = 6392. Then, The greatest common factor of 6392 and 11656 is 376.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 145 and 51, then apply gcf to the result and 6090.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 145 by 51: 145 * 51 = 7395. Then, The greatest common factor of 7395 and 6090 is 435.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 134 and 18, then apply gcf to the result and 2814.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 134 by 18: 134 * 18 = 2412. Then, The greatest common factor of 2412 and 2814 is 402.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 164, then apply gcf to the result and 10373.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 164: 23 * 164 = 3772. Then, The greatest common factor of 3772 and 10373 is 943.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 114 and 61, then apply gcf to the result and 976.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 114 by 61: 114 * 61 = 6954. Then, The greatest common factor of 6954 and 976 is 122.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 65 and 80, then apply gcf to the result and 3640.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 65 by 80: 65 * 80 = 5200. Then, The greatest common factor of 5200 and 3640 is 520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 26 and 101, then apply gcf to the result and 40703.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 26 by 101: 26 * 101 = 2626. Then, The greatest common factor of 2626 and 40703 is 1313.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 120 and 61, then apply gcf to the result and 78080.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 120 by 61: 120 * 61 = 7320. Then, The greatest common factor of 7320 and 78080 is 2440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 55 and 90, then apply gcf to the result and 5346.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 55 by 90: 55 * 90 = 4950. Then, The greatest common factor of 4950 and 5346 is 198.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 63 and 98, then apply gcf to the result and 83349.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 63 by 98: 63 * 98 = 6174. Then, The greatest common factor of 6174 and 83349 is 3087.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 175 and 55, then apply gcf to the result and 4500.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 175 by 55: 175 * 55 = 9625. Then, The greatest common factor of 9625 and 4500 is 125.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 34 and 113, then apply gcf to the result and 9605.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 34 by 113: 34 * 113 = 3842. Then, The greatest common factor of 3842 and 9605 is 1921.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 49 and 125, then apply gcf to the result and 15925.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 125: 49 * 125 = 6125. Then, The greatest common factor of 6125 and 15925 is 1225.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 111 and 61, then apply gcf to the result and 2013.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 111 by 61: 111 * 61 = 6771. Then, The greatest common factor of 6771 and 2013 is 183.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 59, then apply gcf to the result and 4484.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 59: 22 * 59 = 1298. Then, The greatest common factor of 1298 and 4484 is 118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 166, then apply gcf to the result and 8300.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 166: 24 * 166 = 3984. Then, The greatest common factor of 3984 and 8300 is 332.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 113, then apply gcf to the result and 1356.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 113: 22 * 113 = 2486. Then, The greatest common factor of 2486 and 1356 is 226.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 57 and 160, then apply gcf to the result and 7030.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 57 by 160: 57 * 160 = 9120. Then, The greatest common factor of 9120 and 7030 is 190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 147 and 18, then apply gcf to the result and 6615.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 147 by 18: 147 * 18 = 2646. Then, The greatest common factor of 2646 and 6615 is 1323.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 103 and 95, then apply gcf to the result and 6180.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 103 by 95: 103 * 95 = 9785. Then, The greatest common factor of 9785 and 6180 is 515.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 64, then apply gcf to the result and 2176.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 64: 16 * 64 = 1024. Then, The greatest common factor of 1024 and 2176 is 128.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 75 and 110, then apply gcf to the result and 1350.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 75 by 110: 75 * 110 = 8250. Then, The greatest common factor of 8250 and 1350 is 150.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 15, then apply gcf to the result and 4205.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 15: 29 * 15 = 435. Then, The greatest common factor of 435 and 4205 is 145.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 153, then apply gcf to the result and 60588.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 153: 24 * 153 = 3672. Then, The greatest common factor of 3672 and 60588 is 1836.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 30 and 47, then apply gcf to the result and 7285.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 30 by 47: 30 * 47 = 1410. Then, The greatest common factor of 1410 and 7285 is 235.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 51, then apply gcf to the result and 1071.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 51: 15 * 51 = 765. Then, The greatest common factor of 765 and 1071 is 153.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 48 and 38, then apply gcf to the result and 15960.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 48 by 38: 48 * 38 = 1824. Then, The greatest common factor of 1824 and 15960 is 456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 49 and 194, then apply gcf to the result and 3395.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 194: 49 * 194 = 9506. Then, The greatest common factor of 9506 and 3395 is 679.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 50 and 18, then apply gcf to the result and 13950.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 50 by 18: 50 * 18 = 900. Then, The greatest common factor of 900 and 13950 is 450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 130 and 56, then apply gcf to the result and 69160.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 130 by 56: 130 * 56 = 7280. Then, The greatest common factor of 7280 and 69160 is 3640.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 66 and 138, then apply gcf to the result and 14490.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 66 by 138: 66 * 138 = 9108. Then, The greatest common factor of 9108 and 14490 is 414.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 145 and 24, then apply gcf to the result and 4560.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 145 by 24: 145 * 24 = 3480. Then, The greatest common factor of 3480 and 4560 is 120.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 35 and 38, then apply gcf to the result and 5510.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 35 by 38: 35 * 38 = 1330. Then, The greatest common factor of 1330 and 5510 is 190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 91 and 57, then apply gcf to the result and 4641.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 91 by 57: 91 * 57 = 5187. Then, The greatest common factor of 5187 and 4641 is 273.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 196 and 51, then apply gcf to the result and 51646.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 196 by 51: 196 * 51 = 9996. Then, The greatest common factor of 9996 and 51646 is 1666.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 34 and 65, then apply gcf to the result and 4250.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 34 by 65: 34 * 65 = 2210. Then, The greatest common factor of 2210 and 4250 is 170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 65 and 75, then apply gcf to the result and 9100.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 65 by 75: 65 * 75 = 4875. Then, The greatest common factor of 4875 and 9100 is 325.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 95, then apply gcf to the result and 8398.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 95: 13 * 95 = 1235. Then, The greatest common factor of 1235 and 8398 is 247.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 116, then apply gcf to the result and 6264.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 116: 24 * 116 = 2784. Then, The greatest common factor of 2784 and 6264 is 696.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 130 and 53, then apply gcf to the result and 1855.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 130 by 53: 130 * 53 = 6890. Then, The greatest common factor of 6890 and 1855 is 265.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 112 and 17, then apply gcf to the result and 5032.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 112 by 17: 112 * 17 = 1904. Then, The greatest common factor of 1904 and 5032 is 136.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 180 and 51, then apply gcf to the result and 6750.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 180 by 51: 180 * 51 = 9180. Then, The greatest common factor of 9180 and 6750 is 270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 166 and 53, then apply gcf to the result and 3816.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 166 by 53: 166 * 53 = 8798. Then, The greatest common factor of 8798 and 3816 is 106.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 156 and 20, then apply gcf to the result and 6864.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 156 by 20: 156 * 20 = 3120. Then, The greatest common factor of 3120 and 6864 is 624.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 119, then apply gcf to the result and 5202.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 119: 17 * 119 = 2023. Then, The greatest common factor of 2023 and 5202 is 289.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 51, then apply gcf to the result and 9248.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 51: 16 * 51 = 816. Then, The greatest common factor of 816 and 9248 is 272.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 121 and 26, then apply gcf to the result and 8294.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 121 by 26: 121 * 26 = 3146. Then, The greatest common factor of 3146 and 8294 is 286.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 52, then apply gcf to the result and 4292.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 52: 29 * 52 = 1508. Then, The greatest common factor of 1508 and 4292 is 116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 94 and 85, then apply gcf to the result and 21573.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 94 by 85: 94 * 85 = 7990. Then, The greatest common factor of 7990 and 21573 is 799.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 42 and 111, then apply gcf to the result and 5661.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 42 by 111: 42 * 111 = 4662. Then, The greatest common factor of 4662 and 5661 is 333.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 177 and 56, then apply gcf to the result and 45312.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 177 by 56: 177 * 56 = 9912. Then, The greatest common factor of 9912 and 45312 is 1416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 194 and 45, then apply gcf to the result and 66348.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 194 by 45: 194 * 45 = 8730. Then, The greatest common factor of 8730 and 66348 is 1746.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 95 and 92, then apply gcf to the result and 8050.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 95 by 92: 95 * 92 = 8740. Then, The greatest common factor of 8740 and 8050 is 230.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 198 and 35, then apply gcf to the result and 2805.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 198 by 35: 198 * 35 = 6930. Then, The greatest common factor of 6930 and 2805 is 165.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 28 and 55, then apply gcf to the result and 5698.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 55: 28 * 55 = 1540. Then, The greatest common factor of 1540 and 5698 is 154.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 46 and 130, then apply gcf to the result and 46345.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 130: 46 * 130 = 5980. Then, The greatest common factor of 5980 and 46345 is 1495.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 54 and 82, then apply gcf to the result and 10824.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 54 by 82: 54 * 82 = 4428. Then, The greatest common factor of 4428 and 10824 is 492.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 44 and 24, then apply gcf to the result and 880.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 44 by 24: 44 * 24 = 1056. Then, The greatest common factor of 1056 and 880 is 176.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 105 and 90, then apply gcf to the result and 16875.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 105 by 90: 105 * 90 = 9450. Then, The greatest common factor of 9450 and 16875 is 675.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 107, then apply gcf to the result and 9309.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 107: 12 * 107 = 1284. Then, The greatest common factor of 1284 and 9309 is 321.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 82 and 39, then apply gcf to the result and 15457.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 82 by 39: 82 * 39 = 3198. Then, The greatest common factor of 3198 and 15457 is 533.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 72 and 57, then apply gcf to the result and 3344.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 72 by 57: 72 * 57 = 4104. Then, The greatest common factor of 4104 and 3344 is 152.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 99, then apply gcf to the result and 7524.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 99: 14 * 99 = 1386. Then, The greatest common factor of 1386 and 7524 is 198.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 46 and 16, then apply gcf to the result and 4784.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 16: 46 * 16 = 736. Then, The greatest common factor of 736 and 4784 is 368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 38 and 50, then apply gcf to the result and 500.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 38 by 50: 38 * 50 = 1900. Then, The greatest common factor of 1900 and 500 is 100.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 111 and 54, then apply gcf to the result and 79920.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 111 by 54: 111 * 54 = 5994. Then, The greatest common factor of 5994 and 79920 is 1998.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 175 and 16, then apply gcf to the result and 2300.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 175 by 16: 175 * 16 = 2800. Then, The greatest common factor of 2800 and 2300 is 100.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 161 and 21, then apply gcf to the result and 4830.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 161 by 21: 161 * 21 = 3381. Then, The greatest common factor of 3381 and 4830 is 483.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 64 and 81, then apply gcf to the result and 1188.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 64 by 81: 64 * 81 = 5184. Then, The greatest common factor of 5184 and 1188 is 108.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 34 and 44, then apply gcf to the result and 4862.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 34 by 44: 34 * 44 = 1496. Then, The greatest common factor of 1496 and 4862 is 374.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 26 and 134, then apply gcf to the result and 12194.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 26 by 134: 26 * 134 = 3484. Then, The greatest common factor of 3484 and 12194 is 1742.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 121 and 21, then apply gcf to the result and 3630.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 121 by 21: 121 * 21 = 2541. Then, The greatest common factor of 2541 and 3630 is 363.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 70, then apply gcf to the result and 20125.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 70: 23 * 70 = 1610. Then, The greatest common factor of 1610 and 20125 is 805.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 110 and 77, then apply gcf to the result and 2299.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 110 by 77: 110 * 77 = 8470. Then, The greatest common factor of 8470 and 2299 is 121.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 24, then apply gcf to the result and 3696.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 24: 21 * 24 = 504. Then, The greatest common factor of 504 and 3696 is 168.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 55 and 52, then apply gcf to the result and 6006.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 55 by 52: 55 * 52 = 2860. Then, The greatest common factor of 2860 and 6006 is 286.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 143, then apply gcf to the result and 1521.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 143: 13 * 143 = 1859. Then, The greatest common factor of 1859 and 1521 is 169.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 45, then apply gcf to the result and 7125.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 45: 25 * 45 = 1125. Then, The greatest common factor of 1125 and 7125 is 375.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 69 and 109, then apply gcf to the result and 6867.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 109: 69 * 109 = 7521. Then, The greatest common factor of 7521 and 6867 is 327.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 28, then apply gcf to the result and 1785.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 28: 17 * 28 = 476. Then, The greatest common factor of 476 and 1785 is 119.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 24, then apply gcf to the result and 16640.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 24: 52 * 24 = 1248. Then, The greatest common factor of 1248 and 16640 is 416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 181 and 27, then apply gcf to the result and 45612.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 181 by 27: 181 * 27 = 4887. Then, The greatest common factor of 4887 and 45612 is 1629.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 154, then apply gcf to the result and 6699.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 154: 29 * 154 = 4466. Then, The greatest common factor of 4466 and 6699 is 2233.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 150 and 38, then apply gcf to the result and 16150.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 150 by 38: 150 * 38 = 5700. Then, The greatest common factor of 5700 and 16150 is 950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 126 and 44, then apply gcf to the result and 1540.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 126 by 44: 126 * 44 = 5544. Then, The greatest common factor of 5544 and 1540 is 308.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 112, then apply gcf to the result and 19656.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 112: 52 * 112 = 5824. Then, The greatest common factor of 5824 and 19656 is 728.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 92 and 84, then apply gcf to the result and 2760.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 92 by 84: 92 * 84 = 7728. Then, The greatest common factor of 7728 and 2760 is 552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 70 and 93, then apply gcf to the result and 36890.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 70 by 93: 70 * 93 = 6510. Then, The greatest common factor of 6510 and 36890 is 2170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 176 and 30, then apply gcf to the result and 4680.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 176 by 30: 176 * 30 = 5280. Then, The greatest common factor of 5280 and 4680 is 120.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 65 and 39, then apply gcf to the result and 29575.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 65 by 39: 65 * 39 = 2535. Then, The greatest common factor of 2535 and 29575 is 845.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 82 and 93, then apply gcf to the result and 8856.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 82 by 93: 82 * 93 = 7626. Then, The greatest common factor of 7626 and 8856 is 246.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 126 and 12, then apply gcf to the result and 3132.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 126 by 12: 126 * 12 = 1512. Then, The greatest common factor of 1512 and 3132 is 108.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 31 and 88, then apply gcf to the result and 2356.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 31 by 88: 31 * 88 = 2728. Then, The greatest common factor of 2728 and 2356 is 124.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 99, then apply gcf to the result and 5589.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 99: 23 * 99 = 2277. Then, The greatest common factor of 2277 and 5589 is 207.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 144 and 28, then apply gcf to the result and 17472.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 144 by 28: 144 * 28 = 4032. Then, The greatest common factor of 4032 and 17472 is 1344.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 60 and 14, then apply gcf to the result and 1470.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 60 by 14: 60 * 14 = 840. Then, The greatest common factor of 840 and 1470 is 210.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 94 and 38, then apply gcf to the result and 51794.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 94 by 38: 94 * 38 = 3572. Then, The greatest common factor of 3572 and 51794 is 1786.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 193 and 24, then apply gcf to the result and 33582.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 193 by 24: 193 * 24 = 4632. Then, The greatest common factor of 4632 and 33582 is 1158.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 143 and 24, then apply gcf to the result and 4862.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 143 by 24: 143 * 24 = 3432. Then, The greatest common factor of 3432 and 4862 is 286.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 183 and 36, then apply gcf to the result and 17019.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 183 by 36: 183 * 36 = 6588. Then, The greatest common factor of 6588 and 17019 is 549.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 97 and 48, then apply gcf to the result and 2134.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 97 by 48: 97 * 48 = 4656. Then, The greatest common factor of 4656 and 2134 is 194.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 45 and 112, then apply gcf to the result and 3864.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 45 by 112: 45 * 112 = 5040. Then, The greatest common factor of 5040 and 3864 is 168.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 99 and 43, then apply gcf to the result and 1032.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 99 by 43: 99 * 43 = 4257. Then, The greatest common factor of 4257 and 1032 is 129.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 145, then apply gcf to the result and 30450.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 145: 20 * 145 = 2900. Then, The greatest common factor of 2900 and 30450 is 1450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 46 and 129, then apply gcf to the result and 6923.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 129: 46 * 129 = 5934. Then, The greatest common factor of 5934 and 6923 is 989.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 177 and 52, then apply gcf to the result and 3835.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 177 by 52: 177 * 52 = 9204. Then, The greatest common factor of 9204 and 3835 is 767.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 195 and 15, then apply gcf to the result and 8450.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 195 by 15: 195 * 15 = 2925. Then, The greatest common factor of 2925 and 8450 is 325.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 70, then apply gcf to the result and 23275.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 70: 19 * 70 = 1330. Then, The greatest common factor of 1330 and 23275 is 665.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 162 and 20, then apply gcf to the result and 12636.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 162 by 20: 162 * 20 = 3240. Then, The greatest common factor of 3240 and 12636 is 324.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 26, then apply gcf to the result and 2288.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 26: 12 * 26 = 312. Then, The greatest common factor of 312 and 2288 is 104.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 158 and 28, then apply gcf to the result and 64148.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 158 by 28: 158 * 28 = 4424. Then, The greatest common factor of 4424 and 64148 is 2212.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 125 and 72, then apply gcf to the result and 14850.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 125 by 72: 125 * 72 = 9000. Then, The greatest common factor of 9000 and 14850 is 450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 36, then apply gcf to the result and 8280.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 36: 20 * 36 = 720. Then, The greatest common factor of 720 and 8280 is 360.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 42 and 64, then apply gcf to the result and 20608.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 42 by 64: 42 * 64 = 2688. Then, The greatest common factor of 2688 and 20608 is 896.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 28 and 67, then apply gcf to the result and 1608.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 67: 28 * 67 = 1876. Then, The greatest common factor of 1876 and 1608 is 268.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 91 and 95, then apply gcf to the result and 22610.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 91 by 95: 91 * 95 = 8645. Then, The greatest common factor of 8645 and 22610 is 665.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 28 and 118, then apply gcf to the result and 7021.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 118: 28 * 118 = 3304. Then, The greatest common factor of 3304 and 7021 is 413.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 113 and 76, then apply gcf to the result and 83733.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 113 by 76: 113 * 76 = 8588. Then, The greatest common factor of 8588 and 83733 is 2147.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 112, then apply gcf to the result and 24864.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 112: 24 * 112 = 2688. Then, The greatest common factor of 2688 and 24864 is 672.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 33 and 59, then apply gcf to the result and 16874.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 33 by 59: 33 * 59 = 1947. Then, The greatest common factor of 1947 and 16874 is 649.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 143 and 54, then apply gcf to the result and 13299.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 143 by 54: 143 * 54 = 7722. Then, The greatest common factor of 7722 and 13299 is 429.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 75, then apply gcf to the result and 3520.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 75: 22 * 75 = 1650. Then, The greatest common factor of 1650 and 3520 is 110.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 126 and 57, then apply gcf to the result and 6783.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 126 by 57: 126 * 57 = 7182. Then, The greatest common factor of 7182 and 6783 is 399.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 100 and 68, then apply gcf to the result and 35700.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 100 by 68: 100 * 68 = 6800. Then, The greatest common factor of 6800 and 35700 is 1700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 64 and 88, then apply gcf to the result and 1024.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 64 by 88: 64 * 88 = 5632. Then, The greatest common factor of 5632 and 1024 is 512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 59 and 96, then apply gcf to the result and 4720.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 59 by 96: 59 * 96 = 5664. Then, The greatest common factor of 5664 and 4720 is 944.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 33 and 37, then apply gcf to the result and 3996.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 33 by 37: 33 * 37 = 1221. Then, The greatest common factor of 1221 and 3996 is 111.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 43 and 166, then apply gcf to the result and 139191.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 43 by 166: 43 * 166 = 7138. Then, The greatest common factor of 7138 and 139191 is 3569.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 105 and 94, then apply gcf to the result and 5593.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 105 by 94: 105 * 94 = 9870. Then, The greatest common factor of 9870 and 5593 is 329.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 73 and 121, then apply gcf to the result and 12848.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 73 by 121: 73 * 121 = 8833. Then, The greatest common factor of 8833 and 12848 is 803.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 80 and 38, then apply gcf to the result and 4408.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 80 by 38: 80 * 38 = 3040. Then, The greatest common factor of 3040 and 4408 is 152.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 75, then apply gcf to the result and 7875.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 75: 18 * 75 = 1350. Then, The greatest common factor of 1350 and 7875 is 225.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 125 and 25, then apply gcf to the result and 5625.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 125 by 25: 125 * 25 = 3125. Then, The greatest common factor of 3125 and 5625 is 625.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 114 and 32, then apply gcf to the result and 7680.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 114 by 32: 114 * 32 = 3648. Then, The greatest common factor of 3648 and 7680 is 192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 60, then apply gcf to the result and 2850.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 60: 15 * 60 = 900. Then, The greatest common factor of 900 and 2850 is 150.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 86 and 94, then apply gcf to the result and 5076.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 86 by 94: 86 * 94 = 8084. Then, The greatest common factor of 8084 and 5076 is 188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 86 and 90, then apply gcf to the result and 2365.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 86 by 90: 86 * 90 = 7740. Then, The greatest common factor of 7740 and 2365 is 215.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 132 and 48, then apply gcf to the result and 2496.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 132 by 48: 132 * 48 = 6336. Then, The greatest common factor of 6336 and 2496 is 192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 173 and 55, then apply gcf to the result and 15570.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 173 by 55: 173 * 55 = 9515. Then, The greatest common factor of 9515 and 15570 is 865.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 89 and 38, then apply gcf to the result and 62567.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 89 by 38: 89 * 38 = 3382. Then, The greatest common factor of 3382 and 62567 is 1691.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 103, then apply gcf to the result and 64272.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 103: 32 * 103 = 3296. Then, The greatest common factor of 3296 and 64272 is 1648.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 199 and 22, then apply gcf to the result and 6567.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 199 by 22: 199 * 22 = 4378. Then, The greatest common factor of 4378 and 6567 is 2189.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 56 and 174, then apply gcf to the result and 2900.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 56 by 174: 56 * 174 = 9744. Then, The greatest common factor of 9744 and 2900 is 116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 78 and 59, then apply gcf to the result and 7788.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 78 by 59: 78 * 59 = 4602. Then, The greatest common factor of 4602 and 7788 is 354.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 36 and 174, then apply gcf to the result and 72036.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 36 by 174: 36 * 174 = 6264. Then, The greatest common factor of 6264 and 72036 is 3132.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 194 and 25, then apply gcf to the result and 65475.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 194 by 25: 194 * 25 = 4850. Then, The greatest common factor of 4850 and 65475 is 2425.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 118 and 77, then apply gcf to the result and 10325.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 118 by 77: 118 * 77 = 9086. Then, The greatest common factor of 9086 and 10325 is 413.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 67 and 15, then apply gcf to the result and 7839.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 67 by 15: 67 * 15 = 1005. Then, The greatest common factor of 1005 and 7839 is 201.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 75 and 38, then apply gcf to the result and 13775.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 75 by 38: 75 * 38 = 2850. Then, The greatest common factor of 2850 and 13775 is 475.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 76 and 66, then apply gcf to the result and 8184.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 76 by 66: 76 * 66 = 5016. Then, The greatest common factor of 5016 and 8184 is 264.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 131 and 56, then apply gcf to the result and 3144.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 131 by 56: 131 * 56 = 7336. Then, The greatest common factor of 7336 and 3144 is 1048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 140 and 12, then apply gcf to the result and 2688.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 140 by 12: 140 * 12 = 1680. Then, The greatest common factor of 1680 and 2688 is 336.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 176, then apply gcf to the result and 5952.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 176: 24 * 176 = 4224. Then, The greatest common factor of 4224 and 5952 is 192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 35 and 47, then apply gcf to the result and 1316.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 35 by 47: 35 * 47 = 1645. Then, The greatest common factor of 1645 and 1316 is 329.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 17, then apply gcf to the result and 595.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 17: 21 * 17 = 357. Then, The greatest common factor of 357 and 595 is 119.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 61 and 156, then apply gcf to the result and 7564.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 61 by 156: 61 * 156 = 9516. Then, The greatest common factor of 9516 and 7564 is 244.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 113 and 18, then apply gcf to the result and 33561.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 113 by 18: 113 * 18 = 2034. Then, The greatest common factor of 2034 and 33561 is 1017.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 62 and 78, then apply gcf to the result and 2496.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 62 by 78: 62 * 78 = 4836. Then, The greatest common factor of 4836 and 2496 is 156.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 118, then apply gcf to the result and 2478.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 118: 18 * 118 = 2124. Then, The greatest common factor of 2124 and 2478 is 354.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 75 and 62, then apply gcf to the result and 15345.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 75 by 62: 75 * 62 = 4650. Then, The greatest common factor of 4650 and 15345 is 465.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 63 and 56, then apply gcf to the result and 20160.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 63 by 56: 63 * 56 = 3528. Then, The greatest common factor of 3528 and 20160 is 504.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 79 and 69, then apply gcf to the result and 6636.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 79 by 69: 79 * 69 = 5451. Then, The greatest common factor of 5451 and 6636 is 237.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 94 and 47, then apply gcf to the result and 72897.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 94 by 47: 94 * 47 = 4418. Then, The greatest common factor of 4418 and 72897 is 2209.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 120 and 16, then apply gcf to the result and 5952.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 120 by 16: 120 * 16 = 1920. Then, The greatest common factor of 1920 and 5952 is 192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 60 and 63, then apply gcf to the result and 12474.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 60 by 63: 60 * 63 = 3780. Then, The greatest common factor of 3780 and 12474 is 378.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 27 and 102, then apply gcf to the result and 1620.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 102: 27 * 102 = 2754. Then, The greatest common factor of 2754 and 1620 is 162.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 192 and 44, then apply gcf to the result and 6512.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 192 by 44: 192 * 44 = 8448. Then, The greatest common factor of 8448 and 6512 is 176.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 178 and 24, then apply gcf to the result and 3560.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 178 by 24: 178 * 24 = 4272. Then, The greatest common factor of 4272 and 3560 is 712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 166 and 15, then apply gcf to the result and 31540.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 166 by 15: 166 * 15 = 2490. Then, The greatest common factor of 2490 and 31540 is 830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 64 and 91, then apply gcf to the result and 90272.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 64 by 91: 64 * 91 = 5824. Then, The greatest common factor of 5824 and 90272 is 2912.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 165 and 57, then apply gcf to the result and 22990.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 165 by 57: 165 * 57 = 9405. Then, The greatest common factor of 9405 and 22990 is 1045.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 179 and 38, then apply gcf to the result and 51015.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 179 by 38: 179 * 38 = 6802. Then, The greatest common factor of 6802 and 51015 is 3401.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 56 and 72, then apply gcf to the result and 33264.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 56 by 72: 56 * 72 = 4032. Then, The greatest common factor of 4032 and 33264 is 1008.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 78 and 122, then apply gcf to the result and 15067.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 78 by 122: 78 * 122 = 9516. Then, The greatest common factor of 9516 and 15067 is 793.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 180 and 22, then apply gcf to the result and 2244.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 180 by 22: 180 * 22 = 3960. Then, The greatest common factor of 3960 and 2244 is 132.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 123, then apply gcf to the result and 36900.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 123: 24 * 123 = 2952. Then, The greatest common factor of 2952 and 36900 is 1476.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 50 and 80, then apply gcf to the result and 1200.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 50 by 80: 50 * 80 = 4000. Then, The greatest common factor of 4000 and 1200 is 400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 72 and 76, then apply gcf to the result and 1976.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 72 by 76: 72 * 76 = 5472. Then, The greatest common factor of 5472 and 1976 is 152.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 69 and 73, then apply gcf to the result and 57086.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 73: 69 * 73 = 5037. Then, The greatest common factor of 5037 and 57086 is 1679.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 99 and 73, then apply gcf to the result and 4161.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 99 by 73: 99 * 73 = 7227. Then, The greatest common factor of 7227 and 4161 is 219.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 34 and 105, then apply gcf to the result and 41055.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 34 by 105: 34 * 105 = 3570. Then, The greatest common factor of 3570 and 41055 is 1785.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 162, then apply gcf to the result and 8613.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 162: 29 * 162 = 4698. Then, The greatest common factor of 4698 and 8613 is 783.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 70, then apply gcf to the result and 3220.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 70: 52 * 70 = 3640. Then, The greatest common factor of 3640 and 3220 is 140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 120 and 53, then apply gcf to the result and 11024.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 120 by 53: 120 * 53 = 6360. Then, The greatest common factor of 6360 and 11024 is 424.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 40 and 82, then apply gcf to the result and 11152.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 40 by 82: 40 * 82 = 3280. Then, The greatest common factor of 3280 and 11152 is 656.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 38, then apply gcf to the result and 11305.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 38: 17 * 38 = 646. Then, The greatest common factor of 646 and 11305 is 323.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 59 and 91, then apply gcf to the result and 13039.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 59 by 91: 59 * 91 = 5369. Then, The greatest common factor of 5369 and 13039 is 767.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 69 and 119, then apply gcf to the result and 14076.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 119: 69 * 119 = 8211. Then, The greatest common factor of 8211 and 14076 is 1173.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 78 and 86, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 78 and 86 is 3354. Then, Multiply the result 3354 by 2: 3354 * 2 = 6708.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 182 and 49, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 182 and 49 is 1274. Then, Multiply the result 1274 by 3: 1274 * 3 = 3822.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 59 and 45, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 59 and 45 is 2655. Then, Multiply the result 2655 by 2: 2655 * 2 = 5310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 148 and 66, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 148 and 66 is 4884. Then, Multiply the result 4884 by 2: 4884 * 2 = 9768.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 19 and 122, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 122 is 2318. Then, Multiply the result 2318 by 2: 2318 * 2 = 4636.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 15 and 82, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 82 is 1230. Then, Multiply the result 1230 by 8: 1230 * 8 = 9840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 49 and 33, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 49 and 33 is 1617. Then, Multiply the result 1617 by 4: 1617 * 4 = 6468.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 77, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 77 is 3619. Then, Multiply the result 3619 by 2: 3619 * 2 = 7238.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 100 and 164, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 100 and 164 is 4100. Then, Multiply the result 4100 by 2: 4100 * 2 = 8200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 124, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 124 is 2852. Then, Multiply the result 2852 by 3: 2852 * 3 = 8556.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 87 and 63, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 87 and 63 is 1827. Then, Multiply the result 1827 by 3: 1827 * 3 = 5481.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 152 and 72, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 152 and 72 is 1368. Then, Multiply the result 1368 by 6: 1368 * 6 = 8208.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 72 and 61, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 72 and 61 is 4392. Then, Multiply the result 4392 by 2: 4392 * 2 = 8784.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 111 and 12, then apply multiply to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 111 and 12 is 444. Then, Multiply the result 444 by 15: 444 * 15 = 6660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 190 and 125, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 190 and 125 is 4750. Then, Multiply the result 4750 by 2: 4750 * 2 = 9500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 195 and 180, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 195 and 180 is 2340. Then, Multiply the result 2340 by 2: 2340 * 2 = 4680.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 170 and 22, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 170 and 22 is 1870. Then, Multiply the result 1870 by 2: 1870 * 2 = 3740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 154 and 40, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 154 and 40 is 3080. Then, Multiply the result 3080 by 2: 3080 * 2 = 6160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 29, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 29 is 1566. Then, Multiply the result 1566 by 5: 1566 * 5 = 7830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 146 and 12, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 146 and 12 is 876. Then, Multiply the result 876 by 4: 876 * 4 = 3504.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 91 and 43, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 91 and 43 is 3913. Then, Multiply the result 3913 by 2: 3913 * 2 = 7826.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 13 and 93, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 13 and 93 is 1209. Then, Multiply the result 1209 by 4: 1209 * 4 = 4836.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 69 and 183, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 69 and 183 is 4209. Then, Multiply the result 4209 by 2: 4209 * 2 = 8418.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 87 and 20, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 87 and 20 is 1740. Then, Multiply the result 1740 by 5: 1740 * 5 = 8700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 52 and 49, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 52 and 49 is 2548. Then, Multiply the result 2548 by 3: 2548 * 3 = 7644.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 120 and 162, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 120 and 162 is 3240. Then, Multiply the result 3240 by 2: 3240 * 2 = 6480.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 120 and 21, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 120 and 21 is 840. Then, Multiply the result 840 by 7: 840 * 7 = 5880.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 29, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 29 is 986. Then, Multiply the result 986 by 2: 986 * 2 = 1972.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 165 and 13, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 165 and 13 is 2145. Then, Multiply the result 2145 by 4: 2145 * 4 = 8580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 90 and 60, then apply multiply to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 90 and 60 is 180. Then, Multiply the result 180 by 30: 180 * 30 = 5400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 153, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 153 is 2295. Then, Multiply the result 2295 by 3: 2295 * 3 = 6885.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 97 and 27, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 97 and 27 is 2619. Then, Multiply the result 2619 by 3: 2619 * 3 = 7857.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 49, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 49 is 2303. Then, Multiply the result 2303 by 2: 2303 * 2 = 4606.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 40 and 106, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 40 and 106 is 2120. Then, Multiply the result 2120 by 2: 2120 * 2 = 4240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 44 and 37, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 44 and 37 is 1628. Then, Multiply the result 1628 by 4: 1628 * 4 = 6512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 123 and 23, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 123 and 23 is 2829. Then, Multiply the result 2829 by 3: 2829 * 3 = 8487.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 45 and 24, then apply multiply to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 45 and 24 is 360. Then, Multiply the result 360 by 12: 360 * 12 = 4320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 44 and 13, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 44 and 13 is 572. Then, Multiply the result 572 by 9: 572 * 9 = 5148.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 186 and 50, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 186 and 50 is 4650. Then, Multiply the result 4650 by 2: 4650 * 2 = 9300.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 30 and 100, then apply multiply to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 30 and 100 is 300. Then, Multiply the result 300 by 18: 300 * 18 = 5400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 66 and 24, then apply multiply to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 66 and 24 is 264. Then, Multiply the result 264 by 17: 264 * 17 = 4488.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 25 and 152, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 152 is 3800. Then, Multiply the result 3800 by 2: 3800 * 2 = 7600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 88 and 78, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 88 and 78 is 3432. Then, Multiply the result 3432 by 2: 3432 * 2 = 6864.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 107 and 25, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 107 and 25 is 2675. Then, Multiply the result 2675 by 2: 2675 * 2 = 5350.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 198, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 198 is 594. Then, Multiply the result 594 by 2: 594 * 2 = 1188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 35 and 97, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 35 and 97 is 3395. Then, Multiply the result 3395 by 2: 3395 * 2 = 6790.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 22 and 40, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 22 and 40 is 440. Then, Multiply the result 440 by 5: 440 * 5 = 2200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 90 and 115, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 90 and 115 is 2070. Then, Multiply the result 2070 by 3: 2070 * 3 = 6210.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 132 and 111, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 132 and 111 is 4884. Then, Multiply the result 4884 by 2: 4884 * 2 = 9768.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 12 and 146, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 12 and 146 is 876. Then, Multiply the result 876 by 2: 876 * 2 = 1752.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 82 and 96, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 82 and 96 is 3936. Then, Multiply the result 3936 by 2: 3936 * 2 = 7872.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 118 and 52, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 118 and 52 is 3068. Then, Multiply the result 3068 by 3: 3068 * 3 = 9204.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 116 and 78, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 116 and 78 is 4524. Then, Multiply the result 4524 by 2: 4524 * 2 = 9048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 130 and 160, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 130 and 160 is 2080. Then, Multiply the result 2080 by 4: 2080 * 4 = 8320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 19 and 158, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 158 is 3002. Then, Multiply the result 3002 by 2: 3002 * 2 = 6004.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 140, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 140 is 3780. Then, Multiply the result 3780 by 2: 3780 * 2 = 7560.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 44 and 38, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 44 and 38 is 836. Then, Multiply the result 836 by 2: 836 * 2 = 1672.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 162 and 46, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 162 and 46 is 3726. Then, Multiply the result 3726 by 2: 3726 * 2 = 7452.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 32 and 139, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 139 is 4448. Then, Multiply the result 4448 by 2: 4448 * 2 = 8896.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 66 and 192, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 66 and 192 is 2112. Then, Multiply the result 2112 by 4: 2112 * 4 = 8448.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 121 and 18, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 121 and 18 is 2178. Then, Multiply the result 2178 by 4: 2178 * 4 = 8712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 17 and 186, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 17 and 186 is 3162. Then, Multiply the result 3162 by 2: 3162 * 2 = 6324.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 25 and 199, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 199 is 4975. Then, Multiply the result 4975 by 2: 4975 * 2 = 9950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 74 and 92, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 74 and 92 is 3404. Then, Multiply the result 3404 by 2: 3404 * 2 = 6808.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 25 and 146, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 146 is 3650. Then, Multiply the result 3650 by 2: 3650 * 2 = 7300.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 15 and 37, then apply multiply to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 37 is 555. Then, Multiply the result 555 by 13: 555 * 13 = 7215.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 102 and 46, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 102 and 46 is 2346. Then, Multiply the result 2346 by 4: 2346 * 4 = 9384.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 100 and 196, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 100 and 196 is 4900. Then, Multiply the result 4900 by 2: 4900 * 2 = 9800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 182 and 84, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 182 and 84 is 1092. Then, Multiply the result 1092 by 3: 1092 * 3 = 3276.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 44, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 44 is 1012. Then, Multiply the result 1012 by 4: 1012 * 4 = 4048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 164 and 38, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 164 and 38 is 3116. Then, Multiply the result 3116 by 2: 3116 * 2 = 6232.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 48 and 168, then apply multiply to the result and 25.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 48 and 168 is 336. Then, Multiply the result 336 by 25: 336 * 25 = 8400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 142 and 18, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 18 is 1278. Then, Multiply the result 1278 by 5: 1278 * 5 = 6390.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 143 and 117, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 143 and 117 is 1287. Then, Multiply the result 1287 by 2: 1287 * 2 = 2574.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 43 and 64, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 43 and 64 is 2752. Then, Multiply the result 2752 by 3: 2752 * 3 = 8256.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 108 and 160, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 108 and 160 is 4320. Then, Multiply the result 4320 by 2: 4320 * 2 = 8640.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 88 and 18, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 88 and 18 is 792. Then, Multiply the result 792 by 9: 792 * 9 = 7128.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 111 and 117, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 111 and 117 is 4329. Then, Multiply the result 4329 by 2: 4329 * 2 = 8658.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 156 and 27, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 156 and 27 is 1404. Then, Multiply the result 1404 by 2: 1404 * 2 = 2808.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 12 and 49, then apply multiply to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 12 and 49 is 588. Then, Multiply the result 588 by 12: 588 * 12 = 7056.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 14 and 64, then apply multiply to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 14 and 64 is 448. Then, Multiply the result 448 by 22: 448 * 22 = 9856.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 40, then apply multiply to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 40 is 680. Then, Multiply the result 680 by 12: 680 * 12 = 8160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 44 and 29, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 44 and 29 is 1276. Then, Multiply the result 1276 by 6: 1276 * 6 = 7656.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 66 and 92, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 66 and 92 is 3036. Then, Multiply the result 3036 by 2: 3036 * 2 = 6072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 52, then apply multiply to the result and 46.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 52 is 208. Then, Multiply the result 208 by 46: 208 * 46 = 9568.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 59 and 24, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 59 and 24 is 1416. Then, Multiply the result 1416 by 2: 1416 * 2 = 2832.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 156 and 57, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 156 and 57 is 2964. Then, Multiply the result 2964 by 3: 2964 * 3 = 8892.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 40, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 40 is 2040. Then, Multiply the result 2040 by 2: 2040 * 2 = 4080.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 25 and 144, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 144 is 3600. Then, Multiply the result 3600 by 2: 3600 * 2 = 7200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 84 and 160, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 84 and 160 is 3360. Then, Multiply the result 3360 by 2: 3360 * 2 = 6720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 195 and 66, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 195 and 66 is 4290. Then, Multiply the result 4290 by 2: 4290 * 2 = 8580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 53 and 24, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 53 and 24 is 1272. Then, Multiply the result 1272 by 2: 1272 * 2 = 2544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 77 and 50, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 77 and 50 is 3850. Then, Multiply the result 3850 by 2: 3850 * 2 = 7700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 171 and 90, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 171 and 90 is 1710. Then, Multiply the result 1710 by 2: 1710 * 2 = 3420.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 38 and 138, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 38 and 138 is 2622. Then, Multiply the result 2622 by 3: 2622 * 3 = 7866.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 23 and 192, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 192 is 4416. Then, Multiply the result 4416 by 2: 4416 * 2 = 8832.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 105 and 43, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 105 and 43 is 4515. Then, Multiply the result 4515 by 2: 4515 * 2 = 9030.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 190, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 190 is 3230. Then, Multiply the result 3230 by 2: 3230 * 2 = 6460.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 15 and 119, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 119 is 1785. Then, Multiply the result 1785 by 3: 1785 * 3 = 5355.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 74, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 74 is 3478. Then, Multiply the result 3478 by 2: 3478 * 2 = 6956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 123 and 16, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 123 and 16 is 1968. Then, Multiply the result 1968 by 4: 1968 * 4 = 7872.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 104 and 96, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 104 and 96 is 1248. Then, Multiply the result 1248 by 8: 1248 * 8 = 9984.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 49, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 49 is 1911. Then, Multiply the result 1911 by 3: 1911 * 3 = 5733.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 26 and 165, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 165 is 4290. Then, Multiply the result 4290 by 2: 4290 * 2 = 8580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 117 and 153, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 117 and 153 is 1989. Then, Multiply the result 1989 by 3: 1989 * 3 = 5967.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 170, then apply multiply to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 170 is 510. Then, Multiply the result 510 by 14: 510 * 14 = 7140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 17 and 113, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 17 and 113 is 1921. Then, Multiply the result 1921 by 5: 1921 * 5 = 9605.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 99 and 121, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 99 and 121 is 1089. Then, Multiply the result 1089 by 8: 1089 * 8 = 8712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 85 and 32, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 85 and 32 is 2720. Then, Multiply the result 2720 by 2: 2720 * 2 = 5440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 24 and 130, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 130 is 1560. Then, Multiply the result 1560 by 5: 1560 * 5 = 7800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 154 and 23, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 154 and 23 is 3542. Then, Multiply the result 3542 by 2: 3542 * 2 = 7084.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 18 and 73, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 18 and 73 is 1314. Then, Multiply the result 1314 by 5: 1314 * 5 = 6570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 23 and 139, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 139 is 3197. Then, Multiply the result 3197 by 3: 3197 * 3 = 9591.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 120 and 22, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 120 and 22 is 1320. Then, Multiply the result 1320 by 4: 1320 * 4 = 5280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 60 and 129, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 60 and 129 is 2580. Then, Multiply the result 2580 by 3: 2580 * 3 = 7740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 169 and 52, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 169 and 52 is 676. Then, Multiply the result 676 by 9: 676 * 9 = 6084.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 122, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 122 is 3904. Then, Multiply the result 3904 by 2: 3904 * 2 = 7808.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 26 and 112, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 112 is 1456. Then, Multiply the result 1456 by 5: 1456 * 5 = 7280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 60 and 156, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 60 and 156 is 780. Then, Multiply the result 780 by 8: 780 * 8 = 6240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 21, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 21 is 1344. Then, Multiply the result 1344 by 2: 1344 * 2 = 2688.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 190 and 16, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 190 and 16 is 1520. Then, Multiply the result 1520 by 5: 1520 * 5 = 7600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 141 and 45, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 141 and 45 is 2115. Then, Multiply the result 2115 by 3: 2115 * 3 = 6345.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 138, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 138 is 2346. Then, Multiply the result 2346 by 3: 2346 * 3 = 7038.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 126 and 32, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 126 and 32 is 2016. Then, Multiply the result 2016 by 4: 2016 * 4 = 8064.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 142 and 15, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 15 is 2130. Then, Multiply the result 2130 by 2: 2130 * 2 = 4260.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 41 and 19, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 41 and 19 is 779. Then, Multiply the result 779 by 8: 779 * 8 = 6232.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 134 and 21, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 134 and 21 is 2814. Then, Multiply the result 2814 by 3: 2814 * 3 = 8442.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 22 and 63, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 22 and 63 is 1386. Then, Multiply the result 1386 by 4: 1386 * 4 = 5544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 146 and 50, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 146 and 50 is 3650. Then, Multiply the result 3650 by 2: 3650 * 2 = 7300.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 57, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 57 is 912. Then, Multiply the result 912 by 3: 912 * 3 = 2736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 87 and 55, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 87 and 55 is 4785. Then, Multiply the result 4785 by 2: 4785 * 2 = 9570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 138 and 12, then apply multiply to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 138 and 12 is 276. Then, Multiply the result 276 by 17: 276 * 17 = 4692.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 29 and 131, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 29 and 131 is 3799. Then, Multiply the result 3799 by 2: 3799 * 2 = 7598.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 164 and 28, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 164 and 28 is 1148. Then, Multiply the result 1148 by 5: 1148 * 5 = 5740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 57 and 61, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 57 and 61 is 3477. Then, Multiply the result 3477 by 2: 3477 * 2 = 6954.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 199 and 19, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 199 and 19 is 3781. Then, Multiply the result 3781 by 2: 3781 * 2 = 7562.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 48 and 126, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 48 and 126 is 1008. Then, Multiply the result 1008 by 4: 1008 * 4 = 4032.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 73, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 73 is 3431. Then, Multiply the result 3431 by 2: 3431 * 2 = 6862.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 140 and 196, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 140 and 196 is 980. Then, Multiply the result 980 by 8: 980 * 8 = 7840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 143 and 55, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 143 and 55 is 715. Then, Multiply the result 715 by 8: 715 * 8 = 5720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 79 and 17, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 17 is 1343. Then, Multiply the result 1343 by 7: 1343 * 7 = 9401.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 12 and 181, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 12 and 181 is 2172. Then, Multiply the result 2172 by 4: 2172 * 4 = 8688.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 44 and 120, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 44 and 120 is 1320. Then, Multiply the result 1320 by 4: 1320 * 4 = 5280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 189, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 189 is 3024. Then, Multiply the result 3024 by 3: 3024 * 3 = 9072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 81 and 37, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 81 and 37 is 2997. Then, Multiply the result 2997 by 2: 2997 * 2 = 5994.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 21 and 96, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 21 and 96 is 672. Then, Multiply the result 672 by 9: 672 * 9 = 6048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 19 and 30, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 30 is 570. Then, Multiply the result 570 by 4: 570 * 4 = 2280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 40 and 105, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 40 and 105 is 840. Then, Multiply the result 840 by 3: 840 * 3 = 2520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 194 and 12, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 194 and 12 is 1164. Then, Multiply the result 1164 by 5: 1164 * 5 = 5820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 170, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 170 is 1360. Then, Multiply the result 1360 by 4: 1360 * 4 = 5440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 32 and 116, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 116 is 928. Then, Multiply the result 928 by 8: 928 * 8 = 7424.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 42, then apply multiply to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 42 is 714. Then, Multiply the result 714 by 11: 714 * 11 = 7854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 31, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 31 is 1581. Then, Multiply the result 1581 by 5: 1581 * 5 = 7905.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 118 and 62, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 118 and 62 is 3658. Then, Multiply the result 3658 by 2: 3658 * 2 = 7316.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 61 and 38, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 61 and 38 is 2318. Then, Multiply the result 2318 by 4: 2318 * 4 = 9272.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 89 and 23, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 89 and 23 is 2047. Then, Multiply the result 2047 by 2: 2047 * 2 = 4094.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 62 and 132, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 62 and 132 is 4092. Then, Multiply the result 4092 by 2: 4092 * 2 = 8184.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 186 and 24, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 186 and 24 is 744. Then, Multiply the result 744 by 8: 744 * 8 = 5952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 145 and 30, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 145 and 30 is 870. Then, Multiply the result 870 by 9: 870 * 9 = 7830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 168 and 90, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 168 and 90 is 2520. Then, Multiply the result 2520 by 2: 2520 * 2 = 5040.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 94 and 14, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 94 and 14 is 658. Then, Multiply the result 658 by 6: 658 * 6 = 3948.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 132 and 17, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 132 and 17 is 2244. Then, Multiply the result 2244 by 4: 2244 * 4 = 8976.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 146, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 146 is 3942. Then, Multiply the result 3942 by 2: 3942 * 2 = 7884.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 21 and 86, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 21 and 86 is 1806. Then, Multiply the result 1806 by 5: 1806 * 5 = 9030.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 186, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 186 is 4278. Then, Multiply the result 4278 by 2: 4278 * 2 = 8556.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 24 and 106, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 106 is 1272. Then, Multiply the result 1272 by 3: 1272 * 3 = 3816.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 105, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 105 is 1890. Then, Multiply the result 1890 by 5: 1890 * 5 = 9450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 134 and 64, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 134 and 64 is 4288. Then, Multiply the result 4288 by 2: 4288 * 2 = 8576.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 36 and 92, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 36 and 92 is 828. Then, Multiply the result 828 by 4: 828 * 4 = 3312.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 26 and 75, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 75 is 1950. Then, Multiply the result 1950 by 3: 1950 * 3 = 5850.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 85 and 14, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 85 and 14 is 1190. Then, Multiply the result 1190 by 2: 1190 * 2 = 2380.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 60 and 78, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 60 and 78 is 780. Then, Multiply the result 780 by 3: 780 * 3 = 2340.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 38, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 38 is 1786. Then, Multiply the result 1786 by 5: 1786 * 5 = 8930.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 28 and 189, then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 28 and 189 is 756. Then, Multiply the result 756 by 8: 756 * 8 = 6048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 74 and 38, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 74 and 38 is 1406. Then, Multiply the result 1406 by 2: 1406 * 2 = 2812.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 41, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 41 is 2624. Then, Multiply the result 2624 by 3: 2624 * 3 = 7872.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 67 and 55, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 67 and 55 is 3685. Then, Multiply the result 3685 by 2: 3685 * 2 = 7370.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 114 and 75, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 114 and 75 is 2850. Then, Multiply the result 2850 by 2: 2850 * 2 = 5700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 93 and 43, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 43 is 3999. Then, Multiply the result 3999 by 2: 3999 * 2 = 7998.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 111 and 114, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 111 and 114 is 4218. Then, Multiply the result 4218 by 2: 4218 * 2 = 8436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 57 and 78, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 57 and 78 is 1482. Then, Multiply the result 1482 by 4: 1482 * 4 = 5928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 29 and 148, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 29 and 148 is 4292. Then, Multiply the result 4292 by 2: 4292 * 2 = 8584.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 28 and 102, then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 28 and 102 is 1428. Then, Multiply the result 1428 by 7: 1428 * 7 = 9996.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 15 and 172, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 172 is 2580. Then, Multiply the result 2580 by 3: 2580 * 3 = 7740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 52 and 39, then apply multiply to the result and 43.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 52 and 39 is 156. Then, Multiply the result 156 by 43: 156 * 43 = 6708.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 140 and 38, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 140 and 38 is 2660. Then, Multiply the result 2660 by 2: 2660 * 2 = 5320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 156 and 30, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 156 and 30 is 780. Then, Multiply the result 780 by 6: 780 * 6 = 4680.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 124 and 13, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 124 and 13 is 1612. Then, Multiply the result 1612 by 4: 1612 * 4 = 6448.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 60 and 84, then apply multiply to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 60 and 84 is 420. Then, Multiply the result 420 by 17: 420 * 17 = 7140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 82 and 58, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 82 and 58 is 2378. Then, Multiply the result 2378 by 3: 2378 * 3 = 7134.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 79 and 58, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 58 is 4582. Then, Multiply the result 4582 by 2: 4582 * 2 = 9164.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 92 and 34, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 92 and 34 is 1564. Then, Multiply the result 1564 by 3: 1564 * 3 = 4692.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 78 and 87, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 78 and 87 is 2262. Then, Multiply the result 2262 by 4: 2262 * 4 = 9048.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 105 and 19, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 105 and 19 is 1995. Then, Multiply the result 1995 by 5: 1995 * 5 = 9975.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 57, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 57 is 1938. Then, Multiply the result 1938 by 5: 1938 * 5 = 9690.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 130 and 120, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 130 and 120 is 1560. Then, Multiply the result 1560 by 4: 1560 * 4 = 6240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 118 and 37, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 118 and 37 is 4366. Then, Multiply the result 4366 by 2: 4366 * 2 = 8732.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 78 and 57, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 78 and 57 is 1482. Then, Multiply the result 1482 by 3: 1482 * 3 = 4446.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 29 and 14, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 29 and 14 is 406. Then, Multiply the result 406 by 2: 406 * 2 = 812.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 118, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 118 is 4602. Then, Multiply the result 4602 by 2: 4602 * 2 = 9204.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 68 and 14, then apply lcm to the result and 40.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 68 by 14: 68 * 14 = 952. Then, The least common multiple of 952 and 40 is 4760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 33 and 13, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 33 by 13: 33 * 13 = 429. Then, The least common multiple of 429 and 21 is 3003.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 48, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 48: 17 * 48 = 816. Then, The least common multiple of 816 and 7 is 5712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 41, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 41: 23 * 41 = 943. Then, The least common multiple of 943 and 8 is 7544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 27, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 27: 21 * 27 = 567. Then, The least common multiple of 567 and 5 is 2835.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 20, then apply lcm to the result and 75.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 20: 32 * 20 = 640. Then, The least common multiple of 640 and 75 is 9600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 48 and 12, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 48 by 12: 48 * 12 = 576. Then, The least common multiple of 576 and 26 is 7488.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 44, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 44: 12 * 44 = 528. Then, The least common multiple of 528 and 42 is 3696.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 43, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 43: 17 * 43 = 731. Then, The least common multiple of 731 and 3 is 2193.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 83 and 12, then apply lcm to the result and 72.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 83 by 12: 83 * 12 = 996. Then, The least common multiple of 996 and 72 is 5976.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 12, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 12: 17 * 12 = 204. Then, The least common multiple of 204 and 10 is 1020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 49 and 19, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 19: 49 * 19 = 931. Then, The least common multiple of 931 and 28 is 3724.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 56, then apply lcm to the result and 35.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 56: 16 * 56 = 896. Then, The least common multiple of 896 and 35 is 4480.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 64, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 64: 12 * 64 = 768. Then, The least common multiple of 768 and 84 is 5376.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 50 and 13, then apply lcm to the result and 78.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 50 by 13: 50 * 13 = 650. Then, The least common multiple of 650 and 78 is 1950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 36, then apply lcm to the result and 39.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 36: 20 * 36 = 720. Then, The least common multiple of 720 and 39 is 9360.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 34, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 34: 15 * 34 = 510. Then, The least common multiple of 510 and 14 is 3570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 38 and 14, then apply lcm to the result and 68.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 38 by 14: 38 * 14 = 532. Then, The least common multiple of 532 and 68 is 9044.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 80, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 80: 12 * 80 = 960. Then, The least common multiple of 960 and 42 is 6720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 28, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 28: 17 * 28 = 476. Then, The least common multiple of 476 and 36 is 4284.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 55, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 55: 16 * 55 = 880. Then, The least common multiple of 880 and 14 is 6160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 30, then apply lcm to the result and 78.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 30: 14 * 30 = 420. Then, The least common multiple of 420 and 78 is 5460.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 12, then apply lcm to the result and 94.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 12: 15 * 12 = 180. Then, The least common multiple of 180 and 94 is 8460.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 73 and 13, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 73 by 13: 73 * 13 = 949. Then, The least common multiple of 949 and 4 is 3796.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 41, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 41: 18 * 41 = 738. Then, The least common multiple of 738 and 11 is 8118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 33: 20 * 33 = 660. Then, The least common multiple of 660 and 8 is 1320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 19, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 19: 32 * 19 = 608. Then, The least common multiple of 608 and 6 is 1824.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 22, then apply lcm to the result and 69.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 22: 15 * 22 = 330. Then, The least common multiple of 330 and 69 is 7590.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 72, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 72: 12 * 72 = 864. Then, The least common multiple of 864 and 11 is 9504.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 72.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 33: 20 * 33 = 660. Then, The least common multiple of 660 and 72 is 3960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 21, then apply lcm to the result and 45.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 21: 16 * 21 = 336. Then, The least common multiple of 336 and 45 is 5040.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 43, then apply lcm to the result and 86.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 43: 19 * 43 = 817. Then, The least common multiple of 817 and 86 is 1634.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 34 and 24, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 34 by 24: 34 * 24 = 816. Then, The least common multiple of 816 and 14 is 5712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 45 and 16, then apply lcm to the result and 44.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 45 by 16: 45 * 16 = 720. Then, The least common multiple of 720 and 44 is 7920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 23, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 23: 25 * 23 = 575. Then, The least common multiple of 575 and 2 is 1150.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 25, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 25: 24 * 25 = 600. Then, The least common multiple of 600 and 14 is 4200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 30 and 18, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 30 by 18: 30 * 18 = 540. Then, The least common multiple of 540 and 11 is 5940.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 40 and 23, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 40 by 23: 40 * 23 = 920. Then, The least common multiple of 920 and 7 is 6440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 40 and 15, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 40 by 15: 40 * 15 = 600. Then, The least common multiple of 600 and 18 is 1800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 58, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 58: 14 * 58 = 812. Then, The least common multiple of 812 and 84 is 2436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 60 and 14, then apply lcm to the result and 49.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 60 by 14: 60 * 14 = 840. Then, The least common multiple of 840 and 49 is 5880.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 38 and 21, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 38 by 21: 38 * 21 = 798. Then, The least common multiple of 798 and 9 is 2394.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 66 and 14, then apply lcm to the result and 72.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 66 by 14: 66 * 14 = 924. Then, The least common multiple of 924 and 72 is 5544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 58, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 58: 17 * 58 = 986. Then, The least common multiple of 986 and 6 is 2958.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 27 and 34, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 34: 27 * 34 = 918. Then, The least common multiple of 918 and 15 is 4590.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 22, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 22: 15 * 22 = 330. Then, The least common multiple of 330 and 28 is 4620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 39 and 14, then apply lcm to the result and 34.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 39 by 14: 39 * 14 = 546. Then, The least common multiple of 546 and 34 is 9282.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 39 and 24, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 39 by 24: 39 * 24 = 936. Then, The least common multiple of 936 and 14 is 6552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 68 and 13, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 68 by 13: 68 * 13 = 884. Then, The least common multiple of 884 and 12 is 2652.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 25, then apply lcm to the result and 70.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 25: 32 * 25 = 800. Then, The least common multiple of 800 and 70 is 5600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 17, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 17: 52 * 17 = 884. Then, The least common multiple of 884 and 32 is 7072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 31, then apply lcm to the result and 45.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 31: 20 * 31 = 620. Then, The least common multiple of 620 and 45 is 5580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 32, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 32: 29 * 32 = 928. Then, The least common multiple of 928 and 80 is 4640.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 21, then apply lcm to the result and 31.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 21: 15 * 21 = 315. Then, The least common multiple of 315 and 31 is 9765.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 70, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 70: 13 * 70 = 910. Then, The least common multiple of 910 and 28 is 1820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 35, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 35: 20 * 35 = 700. Then, The least common multiple of 700 and 80 is 2800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 15, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 15: 24 * 15 = 360. Then, The least common multiple of 360 and 21 is 2520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 47, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 47: 19 * 47 = 893. Then, The least common multiple of 893 and 9 is 8037.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 54 and 14, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 54 by 14: 54 * 14 = 756. Then, The least common multiple of 756 and 30 is 3780.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 27 and 17, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 17: 27 * 17 = 459. Then, The least common multiple of 459 and 13 is 5967.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 19, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 19: 23 * 19 = 437. Then, The least common multiple of 437 and 5 is 2185.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 69, then apply lcm to the result and 91.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 69: 13 * 69 = 897. Then, The least common multiple of 897 and 91 is 6279.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 35 and 17, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 35 by 17: 35 * 17 = 595. Then, The least common multiple of 595 and 21 is 1785.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 19, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 19: 19 * 19 = 361. Then, The least common multiple of 361 and 20 is 7220.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 28, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 28: 15 * 28 = 420. Then, The least common multiple of 420 and 36 is 1260.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 30, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 30: 20 * 30 = 600. Then, The least common multiple of 600 and 9 is 1800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 38, then apply lcm to the result and 76.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 38: 19 * 38 = 722. Then, The least common multiple of 722 and 76 is 1444.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 18, then apply lcm to the result and 16.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 18: 15 * 18 = 270. Then, The least common multiple of 270 and 16 is 2160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 26 and 36, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 26 by 36: 26 * 36 = 936. Then, The least common multiple of 936 and 28 is 6552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 56 and 12, then apply lcm to the result and 64.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 56 by 12: 56 * 12 = 672. Then, The least common multiple of 672 and 64 is 1344.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 13, then apply lcm to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 13: 22 * 13 = 286. Then, The least common multiple of 286 and 17 is 4862.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 43, then apply lcm to the result and 33.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 43: 22 * 43 = 946. Then, The least common multiple of 946 and 33 is 2838.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 62 and 12, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 62 by 12: 62 * 12 = 744. Then, The least common multiple of 744 and 21 is 5208.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 49 and 18, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 18: 49 * 18 = 882. Then, The least common multiple of 882 and 4 is 1764.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 49 and 13, then apply lcm to the result and 77.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 13: 49 * 13 = 637. Then, The least common multiple of 637 and 77 is 7007.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 51 and 17, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 51 by 17: 51 * 17 = 867. Then, The least common multiple of 867 and 11 is 9537.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 63 and 14, then apply lcm to the result and 35.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 63 by 14: 63 * 14 = 882. Then, The least common multiple of 882 and 35 is 4410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 30, then apply lcm to the result and 39.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 30: 20 * 30 = 600. Then, The least common multiple of 600 and 39 is 7800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 20, then apply lcm to the result and 40.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 20: 25 * 20 = 500. Then, The least common multiple of 500 and 40 is 1000.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 30 and 33, then apply lcm to the result and 70.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 30 by 33: 30 * 33 = 990. Then, The least common multiple of 990 and 70 is 6930.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 69 and 14, then apply lcm to the result and 16.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 14: 69 * 14 = 966. Then, The least common multiple of 966 and 16 is 7728.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 27 and 14, then apply lcm to the result and 56.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 14: 27 * 14 = 378. Then, The least common multiple of 378 and 56 is 1512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 72 and 12, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 72 by 12: 72 * 12 = 864. Then, The least common multiple of 864 and 5 is 4320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 30, then apply lcm to the result and 90.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 30: 29 * 30 = 870. Then, The least common multiple of 870 and 90 is 2610.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 46, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 46: 21 * 46 = 966. Then, The least common multiple of 966 and 15 is 4830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 26 and 33, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 26 by 33: 26 * 33 = 858. Then, The least common multiple of 858 and 12 is 1716.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 23, then apply lcm to the result and 90.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 23: 15 * 23 = 345. Then, The least common multiple of 345 and 90 is 2070.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 49, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 49: 13 * 49 = 637. Then, The least common multiple of 637 and 26 is 1274.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 17, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 17: 23 * 17 = 391. Then, The least common multiple of 391 and 2 is 782.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 19, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 19: 52 * 19 = 988. Then, The least common multiple of 988 and 28 is 6916.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 21, then apply lcm to the result and 99.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 21: 21 * 21 = 441. Then, The least common multiple of 441 and 99 is 4851.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 42 and 23, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 42 by 23: 42 * 23 = 966. Then, The least common multiple of 966 and 20 is 9660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 18, then apply lcm to the result and 76.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 18: 18 * 18 = 324. Then, The least common multiple of 324 and 76 is 6156.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 14, then apply lcm to the result and 63.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 14: 32 * 14 = 448. Then, The least common multiple of 448 and 63 is 4032.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 64, then apply lcm to the result and 54.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 64: 15 * 64 = 960. Then, The least common multiple of 960 and 54 is 8640.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 36 and 24, then apply lcm to the result and 40.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 36 by 24: 36 * 24 = 864. Then, The least common multiple of 864 and 40 is 4320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 39 and 14, then apply lcm to the result and 45.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 39 by 14: 39 * 14 = 546. Then, The least common multiple of 546 and 45 is 8190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 20, then apply lcm to the result and 63.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 20: 18 * 20 = 360. Then, The least common multiple of 360 and 63 is 2520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 32 and 17, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 32 by 17: 32 * 17 = 544. Then, The least common multiple of 544 and 13 is 7072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 42 and 22, then apply lcm to the result and 48.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 42 by 22: 42 * 22 = 924. Then, The least common multiple of 924 and 48 is 3696.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 13, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 13: 29 * 13 = 377. Then, The least common multiple of 377 and 26 is 754.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 42, then apply lcm to the result and 90.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 42: 21 * 42 = 882. Then, The least common multiple of 882 and 90 is 4410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 25, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 25: 18 * 25 = 450. Then, The least common multiple of 450 and 32 is 7200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 55 and 12, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 55 by 12: 55 * 12 = 660. Then, The least common multiple of 660 and 21 is 4620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 50, then apply lcm to the result and 65.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 50: 15 * 50 = 750. Then, The least common multiple of 750 and 65 is 9750.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 32, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 32: 29 * 32 = 928. Then, The least common multiple of 928 and 3 is 2784.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 35, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 35: 17 * 35 = 595. Then, The least common multiple of 595 and 10 is 1190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 17, then apply lcm to the result and 77.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 17: 21 * 17 = 357. Then, The least common multiple of 357 and 77 is 3927.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 32, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 32: 22 * 32 = 704. Then, The least common multiple of 704 and 66 is 2112.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 17, then apply lcm to the result and 60.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 17: 12 * 17 = 204. Then, The least common multiple of 204 and 60 is 1020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 44 and 16, then apply lcm to the result and 56.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 44 by 16: 44 * 16 = 704. Then, The least common multiple of 704 and 56 is 4928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 41 and 22, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 41 by 22: 41 * 22 = 902. Then, The least common multiple of 902 and 20 is 9020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 15, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 15: 25 * 15 = 375. Then, The least common multiple of 375 and 80 is 6000.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 53, then apply lcm to the result and 75.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 53: 15 * 53 = 795. Then, The least common multiple of 795 and 75 is 3975.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 35, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 35: 16 * 35 = 560. Then, The least common multiple of 560 and 9 is 5040.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 33, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 33: 20 * 33 = 660. Then, The least common multiple of 660 and 84 is 4620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 41, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 41: 15 * 41 = 615. Then, The least common multiple of 615 and 30 is 1230.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 81 and 12, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 81 by 12: 81 * 12 = 972. Then, The least common multiple of 972 and 30 is 4860.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 31, then apply lcm to the result and 24.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 31: 22 * 31 = 682. Then, The least common multiple of 682 and 24 is 8184.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 45 and 17, then apply lcm to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 45 by 17: 45 * 17 = 765. Then, The least common multiple of 765 and 50 is 7650.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 57 and 16, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 57 by 16: 57 * 16 = 912. Then, The least common multiple of 912 and 9 is 2736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 30, then apply lcm to the result and 72.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 30: 21 * 30 = 630. Then, The least common multiple of 630 and 72 is 2520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 56, then apply lcm to the result and 49.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 56: 12 * 56 = 672. Then, The least common multiple of 672 and 49 is 4704.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 63 and 14, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 63 by 14: 63 * 14 = 882. Then, The least common multiple of 882 and 28 is 1764.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 56, then apply lcm to the result and 88.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 56: 14 * 56 = 784. Then, The least common multiple of 784 and 88 is 8624.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 59 and 14, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 59 by 14: 59 * 14 = 826. Then, The least common multiple of 826 and 84 is 4956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 12, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 12: 29 * 12 = 348. Then, The least common multiple of 348 and 84 is 2436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 41, then apply lcm to the result and 38.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 41: 19 * 41 = 779. Then, The least common multiple of 779 and 38 is 1558.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 24, then apply lcm to the result and 60.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 24: 12 * 24 = 288. Then, The least common multiple of 288 and 60 is 1440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 14, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 14: 19 * 14 = 266. Then, The least common multiple of 266 and 5 is 1330.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 53 and 12, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 53 by 12: 53 * 12 = 636. Then, The least common multiple of 636 and 5 is 3180.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 34, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 34: 12 * 34 = 408. Then, The least common multiple of 408 and 5 is 2040.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 38, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 38: 12 * 38 = 456. Then, The least common multiple of 456 and 36 is 1368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 29 and 31, then apply lcm to the result and 87.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 29 by 31: 29 * 31 = 899. Then, The least common multiple of 899 and 87 is 2697.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 15, then apply lcm to the result and 87.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 15: 22 * 15 = 330. Then, The least common multiple of 330 and 87 is 9570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 69, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 69: 14 * 69 = 966. Then, The least common multiple of 966 and 8 is 3864.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 36, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 36: 23 * 36 = 828. Then, The least common multiple of 828 and 7 is 5796.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 33 and 30, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 33 by 30: 33 * 30 = 990. Then, The least common multiple of 990 and 80 is 7920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 28, then apply lcm to the result and 56.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 28: 23 * 28 = 644. Then, The least common multiple of 644 and 56 is 1288.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 47 and 12, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 47 by 12: 47 * 12 = 564. Then, The least common multiple of 564 and 22 is 6204.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 67 and 14, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 67 by 14: 67 * 14 = 938. Then, The least common multiple of 938 and 5 is 4690.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 38 and 26, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 38 by 26: 38 * 26 = 988. Then, The least common multiple of 988 and 5 is 4940.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 75, then apply lcm to the result and 40.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 75: 12 * 75 = 900. Then, The least common multiple of 900 and 40 is 1800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 81, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 81: 12 * 81 = 972. Then, The least common multiple of 972 and 84 is 6804.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 65 and 12, then apply lcm to the result and 75.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 65 by 12: 65 * 12 = 780. Then, The least common multiple of 780 and 75 is 3900.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 32, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 32: 14 * 32 = 448. Then, The least common multiple of 448 and 11 is 4928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 48, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 48: 14 * 48 = 672. Then, The least common multiple of 672 and 9 is 2016.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 44, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 44: 19 * 44 = 836. Then, The least common multiple of 836 and 36 is 7524.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 53, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 53: 17 * 53 = 901. Then, The least common multiple of 901 and 7 is 6307.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 19, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 19: 14 * 19 = 266. Then, The least common multiple of 266 and 30 is 3990.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 20, then apply lcm to the result and 88.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 20: 21 * 20 = 420. Then, The least common multiple of 420 and 88 is 9240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 37, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 37: 13 * 37 = 481. Then, The least common multiple of 481 and 18 is 8658.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 26 and 23, then apply lcm to the result and 39.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 26 by 23: 26 * 23 = 598. Then, The least common multiple of 598 and 39 is 1794.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 35, then apply lcm to the result and 77.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 35: 16 * 35 = 560. Then, The least common multiple of 560 and 77 is 6160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 31 and 24, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 31 by 24: 31 * 24 = 744. Then, The least common multiple of 744 and 26 is 9672.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 21 and 12, then apply lcm to the result and 48.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 12: 21 * 12 = 252. Then, The least common multiple of 252 and 48 is 1008.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 28, then apply lcm to the result and 63.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 28: 12 * 28 = 336. Then, The least common multiple of 336 and 63 is 1008.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 27 and 31, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 31: 27 * 31 = 837. Then, The least common multiple of 837 and 36 is 3348.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 24, then apply lcm to the result and 57.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 24: 18 * 24 = 432. Then, The least common multiple of 432 and 57 is 8208.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 18 and 27, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 18 by 27: 18 * 27 = 486. Then, The least common multiple of 486 and 13 is 6318.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 15, then apply lcm to the result and 54.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 15: 25 * 15 = 375. Then, The least common multiple of 375 and 54 is 6750.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 18, then apply lcm to the result and 46.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 18: 15 * 18 = 270. Then, The least common multiple of 270 and 46 is 6210.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 30, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 30: 22 * 30 = 660. Then, The least common multiple of 660 and 26 is 8580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 28 and 16, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 16: 28 * 16 = 448. Then, The least common multiple of 448 and 84 is 1344.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 16, then apply lcm to the result and 25.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 16: 12 * 16 = 192. Then, The least common multiple of 192 and 25 is 4800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 43 and 19, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 43 by 19: 43 * 19 = 817. Then, The least common multiple of 817 and 10 is 8170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 13, then apply lcm to the result and 90.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 13: 15 * 13 = 195. Then, The least common multiple of 195 and 90 is 1170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 42, then apply lcm to the result and 40.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 42: 15 * 42 = 630. Then, The least common multiple of 630 and 40 is 2520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 30, then apply lcm to the result and 57.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 30: 15 * 30 = 450. Then, The least common multiple of 450 and 57 is 8550.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 26, then apply lcm to the result and 38.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 26: 17 * 26 = 442. Then, The least common multiple of 442 and 38 is 8398.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 16 and 12, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 12: 16 * 12 = 192. Then, The least common multiple of 192 and 66 is 2112.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 23, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 23: 12 * 23 = 276. Then, The least common multiple of 276 and 27 is 2484.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 47, then apply lcm to the result and 25.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 47: 20 * 47 = 940. Then, The least common multiple of 940 and 25 is 4700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 52 and 17, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 17: 52 * 17 = 884. Then, The least common multiple of 884 and 18 is 7956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 28, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 28: 14 * 28 = 392. Then, The least common multiple of 392 and 10 is 1960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 23 and 34, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 23 by 34: 23 * 34 = 782. Then, The least common multiple of 782 and 20 is 7820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 47 and 20, then apply lcm to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 47 by 20: 47 * 20 = 940. Then, The least common multiple of 940 and 50 is 4700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 24 and 41, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 24 by 41: 24 * 41 = 984. Then, The least common multiple of 984 and 80 is 9840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 38 and 21, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 38 by 21: 38 * 21 = 798. Then, The least common multiple of 798 and 20 is 7980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 68 and 12, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 68 by 12: 68 * 12 = 816. Then, The least common multiple of 816 and 66 is 8976.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 47, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 47: 20 * 47 = 940. Then, The least common multiple of 940 and 15 is 2820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 45, then apply lcm to the result and 81.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 45: 19 * 45 = 855. Then, The least common multiple of 855 and 81 is 7695.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 16, then apply lcm to the result and 76.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 16: 25 * 16 = 400. Then, The least common multiple of 400 and 76 is 7600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 17 and 47, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 17 by 47: 17 * 47 = 799. Then, The least common multiple of 799 and 2 is 1598.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 15 and 49, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 49: 15 * 49 = 735. Then, The least common multiple of 735 and 27 is 6615.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 30 and 27, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 30 by 27: 30 * 27 = 810. Then, The least common multiple of 810 and 20 is 1620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 56 and 15, then apply lcm to the result and 44.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 56 by 15: 56 * 15 = 840. Then, The least common multiple of 840 and 44 is 9240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 14 and 39, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 14 by 39: 14 * 39 = 546. Then, The least common multiple of 546 and 22 is 6006.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 41 and 18, then apply lcm to the result and 24.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 41 by 18: 41 * 18 = 738. Then, The least common multiple of 738 and 24 is 2952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 43 and 12, then apply lcm to the result and 38.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 43 by 12: 43 * 12 = 516. Then, The least common multiple of 516 and 38 is 9804.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 20 and 26, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 26: 20 * 26 = 520. Then, The least common multiple of 520 and 12 is 1560.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 43 and 20, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 43 by 20: 43 * 20 = 860. Then, The least common multiple of 860 and 28 is 6020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 57 and 17, then apply lcm to the result and 85.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 57 by 17: 57 * 17 = 969. Then, The least common multiple of 969 and 85 is 4845.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 13 and 19, then apply lcm to the result and 25.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 19: 13 * 19 = 247. Then, The least common multiple of 247 and 25 is 6175.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 22 and 41, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 22 by 41: 22 * 41 = 902. Then, The least common multiple of 902 and 5 is 4510.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 54 and 12, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 54 by 12: 54 * 12 = 648. Then, The least common multiple of 648 and 84 is 4536.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 25 and 16, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 16: 25 * 16 = 400. Then, The least common multiple of 400 and 13 is 5200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 12 and 22, then apply lcm to the result and 38.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 22: 12 * 22 = 264. Then, The least common multiple of 264 and 38 is 5016.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 19 and 18, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 19 by 18: 19 * 18 = 342. Then, The least common multiple of 342 and 5 is 1710.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 37 and 18, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 37 by 18: 37 * 18 = 666. Then, The least common multiple of 666 and 14 is 4662.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 185 and 23, then apply gcf to the result and 3910.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 185 and 23 is 4255. Then, The greatest common factor of 4255 and 3910 is 115.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 63 and 112, then apply gcf to the result and 1152.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 63 and 112 is 1008. Then, The greatest common factor of 1008 and 1152 is 144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 95, then apply gcf to the result and 4446.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 95 is 3705. Then, The greatest common factor of 3705 and 4446 is 741.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 63 and 41, then apply gcf to the result and 6888.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 63 and 41 is 2583. Then, The greatest common factor of 2583 and 6888 is 861.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 118 and 16, then apply gcf to the result and 12744.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 118 and 16 is 944. Then, The greatest common factor of 944 and 12744 is 472.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 58 and 12, then apply gcf to the result and 812.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 58 and 12 is 348. Then, The greatest common factor of 348 and 812 is 116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 18 and 131, then apply gcf to the result and 12183.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 18 and 131 is 2358. Then, The greatest common factor of 2358 and 12183 is 393.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 90 and 185, then apply gcf to the result and 34410.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 90 and 185 is 3330. Then, The greatest common factor of 3330 and 34410 is 1110.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 180 and 16, then apply gcf to the result and 864.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 180 and 16 is 720. Then, The greatest common factor of 720 and 864 is 144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 55 and 122, then apply gcf to the result and 97295.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 55 and 122 is 6710. Then, The greatest common factor of 6710 and 97295 is 3355.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 14, then apply gcf to the result and 13923.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 14 is 714. Then, The greatest common factor of 714 and 13923 is 357.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 103 and 76, then apply gcf to the result and 9785.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 103 and 76 is 7828. Then, The greatest common factor of 7828 and 9785 is 1957.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 18 and 83, then apply gcf to the result and 8715.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 18 and 83 is 1494. Then, The greatest common factor of 1494 and 8715 is 249.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 94, then apply gcf to the result and 39997.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 94 is 2162. Then, The greatest common factor of 2162 and 39997 is 1081.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 90 and 176, then apply gcf to the result and 18216.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 90 and 176 is 7920. Then, The greatest common factor of 7920 and 18216 is 792.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 196 and 36, then apply gcf to the result and 7308.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 196 and 36 is 1764. Then, The greatest common factor of 1764 and 7308 is 252.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 69, then apply gcf to the result and 3264.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 69 is 2346. Then, The greatest common factor of 2346 and 3264 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 47 and 168, then apply gcf to the result and 6956.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 47 and 168 is 7896. Then, The greatest common factor of 7896 and 6956 is 188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 154 and 126, then apply gcf to the result and 22869.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 154 and 126 is 1386. Then, The greatest common factor of 1386 and 22869 is 693.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 24 and 146, then apply gcf to the result and 16206.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 146 is 1752. Then, The greatest common factor of 1752 and 16206 is 438.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 74 and 38, then apply gcf to the result and 18981.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 74 and 38 is 1406. Then, The greatest common factor of 1406 and 18981 is 703.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 188, then apply gcf to the result and 11891.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 188 is 4324. Then, The greatest common factor of 4324 and 11891 is 1081.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 83 and 114, then apply gcf to the result and 11039.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 83 and 114 is 9462. Then, The greatest common factor of 9462 and 11039 is 1577.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 81 and 75, then apply gcf to the result and 4185.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 81 and 75 is 2025. Then, The greatest common factor of 2025 and 4185 is 135.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 120 and 17, then apply gcf to the result and 5780.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 120 and 17 is 2040. Then, The greatest common factor of 2040 and 5780 is 340.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 91 and 58, then apply gcf to the result and 13195.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 91 and 58 is 5278. Then, The greatest common factor of 5278 and 13195 is 2639.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 182 and 34, then apply gcf to the result and 7854.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 182 and 34 is 3094. Then, The greatest common factor of 3094 and 7854 is 238.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 42 and 167, then apply gcf to the result and 36239.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 42 and 167 is 7014. Then, The greatest common factor of 7014 and 36239 is 1169.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 150, then apply gcf to the result and 18525.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 150 is 1950. Then, The greatest common factor of 1950 and 18525 is 975.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 92 and 16, then apply gcf to the result and 2760.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 92 and 16 is 368. Then, The greatest common factor of 368 and 2760 is 184.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 196 and 136, then apply gcf to the result and 17136.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 196 and 136 is 6664. Then, The greatest common factor of 6664 and 17136 is 952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 38 and 54, then apply gcf to the result and 7695.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 38 and 54 is 1026. Then, The greatest common factor of 1026 and 7695 is 513.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 149 and 30, then apply gcf to the result and 6556.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 149 and 30 is 4470. Then, The greatest common factor of 4470 and 6556 is 298.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 190 and 120, then apply gcf to the result and 17784.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 190 and 120 is 2280. Then, The greatest common factor of 2280 and 17784 is 456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 183 and 156, then apply gcf to the result and 2074.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 183 and 156 is 9516. Then, The greatest common factor of 9516 and 2074 is 122.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 36 and 32, then apply gcf to the result and 1584.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 36 and 32 is 288. Then, The greatest common factor of 288 and 1584 is 144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 22 and 49, then apply gcf to the result and 12397.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 22 and 49 is 1078. Then, The greatest common factor of 1078 and 12397 is 539.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 136 and 124, then apply gcf to the result and 5208.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 136 and 124 is 4216. Then, The greatest common factor of 4216 and 5208 is 248.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 175, then apply gcf to the result and 16875.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 175 is 4725. Then, The greatest common factor of 4725 and 16875 is 675.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 62, then apply gcf to the result and 3570.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 62 is 3162. Then, The greatest common factor of 3162 and 3570 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 108 and 138, then apply gcf to the result and 15732.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 108 and 138 is 2484. Then, The greatest common factor of 2484 and 15732 is 828.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 178 and 33, then apply gcf to the result and 102795.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 178 and 33 is 5874. Then, The greatest common factor of 5874 and 102795 is 2937.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 92 and 57, then apply gcf to the result and 102258.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 92 and 57 is 5244. Then, The greatest common factor of 5244 and 102258 is 2622.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 65 and 92, then apply gcf to the result and 8510.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 65 and 92 is 5980. Then, The greatest common factor of 5980 and 8510 is 230.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 41 and 125, then apply gcf to the result and 3895.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 41 and 125 is 5125. Then, The greatest common factor of 5125 and 3895 is 205.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 102 and 77, then apply gcf to the result and 52360.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 102 and 77 is 7854. Then, The greatest common factor of 7854 and 52360 is 2618.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 124 and 58, then apply gcf to the result and 2668.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 124 and 58 is 3596. Then, The greatest common factor of 3596 and 2668 is 116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 26 and 144, then apply gcf to the result and 8320.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 144 is 1872. Then, The greatest common factor of 1872 and 8320 is 208.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 50 and 37, then apply gcf to the result and 9990.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 50 and 37 is 1850. Then, The greatest common factor of 1850 and 9990 is 370.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 40, then apply gcf to the result and 2376.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 40 is 1080. Then, The greatest common factor of 1080 and 2376 is 216.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 88 and 98, then apply gcf to the result and 784.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 88 and 98 is 4312. Then, The greatest common factor of 4312 and 784 is 392.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 149 and 40, then apply gcf to the result and 104300.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 149 and 40 is 5960. Then, The greatest common factor of 5960 and 104300 is 2980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 23 and 147, then apply gcf to the result and 17871.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 147 is 3381. Then, The greatest common factor of 3381 and 17871 is 483.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 92, then apply gcf to the result and 28704.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 92 is 1472. Then, The greatest common factor of 1472 and 28704 is 736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 100 and 57, then apply gcf to the result and 7296.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 100 and 57 is 5700. Then, The greatest common factor of 5700 and 7296 is 228.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 69 and 126, then apply gcf to the result and 12075.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 69 and 126 is 2898. Then, The greatest common factor of 2898 and 12075 is 483.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 88 and 59, then apply gcf to the result and 9912.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 88 and 59 is 5192. Then, The greatest common factor of 5192 and 9912 is 472.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 43 and 70, then apply gcf to the result and 52675.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 43 and 70 is 3010. Then, The greatest common factor of 3010 and 52675 is 1505.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 43 and 168, then apply gcf to the result and 2236.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 43 and 168 is 7224. Then, The greatest common factor of 7224 and 2236 is 172.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 180, then apply gcf to the result and 7140.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 180 is 3060. Then, The greatest common factor of 3060 and 7140 is 1020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 192 and 18, then apply gcf to the result and 2736.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 192 and 18 is 576. Then, The greatest common factor of 576 and 2736 is 144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 107 and 39, then apply gcf to the result and 13910.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 107 and 39 is 4173. Then, The greatest common factor of 4173 and 13910 is 1391.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 34 and 76, then apply gcf to the result and 13566.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 76 is 1292. Then, The greatest common factor of 1292 and 13566 is 646.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 40 and 155, then apply gcf to the result and 11470.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 40 and 155 is 1240. Then, The greatest common factor of 1240 and 11470 is 310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 13, then apply gcf to the result and 8190.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 13 is 1755. Then, The greatest common factor of 1755 and 8190 is 585.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 150, then apply gcf to the result and 5600.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 150 is 4800. Then, The greatest common factor of 4800 and 5600 is 800.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 48 and 163, then apply gcf to the result and 52812.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 48 and 163 is 7824. Then, The greatest common factor of 7824 and 52812 is 1956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 106 and 71, then apply gcf to the result and 3834.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 106 and 71 is 7526. Then, The greatest common factor of 7526 and 3834 is 142.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 177 and 69, then apply gcf to the result and 17641.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 177 and 69 is 4071. Then, The greatest common factor of 4071 and 17641 is 1357.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 94 and 176, then apply gcf to the result and 21714.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 94 and 176 is 8272. Then, The greatest common factor of 8272 and 21714 is 1034.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 93 and 98, then apply gcf to the result and 25389.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 98 is 9114. Then, The greatest common factor of 9114 and 25389 is 651.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 20 and 156, then apply gcf to the result and 4095.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 20 and 156 is 780. Then, The greatest common factor of 780 and 4095 is 195.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 84 and 67, then apply gcf to the result and 7839.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 84 and 67 is 5628. Then, The greatest common factor of 5628 and 7839 is 201.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 185 and 165, then apply gcf to the result and 3996.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 185 and 165 is 6105. Then, The greatest common factor of 6105 and 3996 is 111.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 27 and 150, then apply gcf to the result and 2925.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 27 and 150 is 1350. Then, The greatest common factor of 1350 and 2925 is 225.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 81 and 117, then apply gcf to the result and 8073.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 81 and 117 is 1053. Then, The greatest common factor of 1053 and 8073 is 351.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 52 and 176, then apply gcf to the result and 8294.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 52 and 176 is 2288. Then, The greatest common factor of 2288 and 8294 is 286.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 126 and 68, then apply gcf to the result and 5236.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 126 and 68 is 4284. Then, The greatest common factor of 4284 and 5236 is 476.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 145 and 70, then apply gcf to the result and 5481.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 145 and 70 is 2030. Then, The greatest common factor of 2030 and 5481 is 203.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 58 and 75, then apply gcf to the result and 10150.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 58 and 75 is 4350. Then, The greatest common factor of 4350 and 10150 is 1450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 128 and 124, then apply gcf to the result and 7192.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 128 and 124 is 3968. Then, The greatest common factor of 3968 and 7192 is 248.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 190, then apply gcf to the result and 8208.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 190 is 6080. Then, The greatest common factor of 6080 and 8208 is 304.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 45 and 77, then apply gcf to the result and 17820.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 45 and 77 is 3465. Then, The greatest common factor of 3465 and 17820 is 495.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 42 and 15, then apply gcf to the result and 1155.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 42 and 15 is 210. Then, The greatest common factor of 210 and 1155 is 105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 83 and 74, then apply gcf to the result and 3486.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 83 and 74 is 6142. Then, The greatest common factor of 6142 and 3486 is 166.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 172 and 53, then apply gcf to the result and 3180.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 172 and 53 is 9116. Then, The greatest common factor of 9116 and 3180 is 212.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 118 and 39, then apply gcf to the result and 14573.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 118 and 39 is 4602. Then, The greatest common factor of 4602 and 14573 is 767.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 160 and 52, then apply gcf to the result and 7072.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 160 and 52 is 2080. Then, The greatest common factor of 2080 and 7072 is 416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 97 and 52, then apply gcf to the result and 582.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 97 and 52 is 5044. Then, The greatest common factor of 5044 and 582 is 194.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 71, then apply gcf to the result and 6390.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 71 is 3621. Then, The greatest common factor of 3621 and 6390 is 213.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 86 and 158, then apply gcf to the result and 98513.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 86 and 158 is 6794. Then, The greatest common factor of 6794 and 98513 is 3397.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 108 and 153, then apply gcf to the result and 2346.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 108 and 153 is 1836. Then, The greatest common factor of 1836 and 2346 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 129 and 47, then apply gcf to the result and 282.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 129 and 47 is 6063. Then, The greatest common factor of 6063 and 282 is 141.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 32 and 142, then apply gcf to the result and 7100.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 142 is 2272. Then, The greatest common factor of 2272 and 7100 is 284.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 85, then apply gcf to the result and 5270.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 85 is 1360. Then, The greatest common factor of 1360 and 5270 is 170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 16 and 105, then apply gcf to the result and 2400.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 105 is 1680. Then, The greatest common factor of 1680 and 2400 is 240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 79 and 92, then apply gcf to the result and 5214.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 92 is 7268. Then, The greatest common factor of 7268 and 5214 is 158.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 98 and 192, then apply gcf to the result and 63504.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 98 and 192 is 9408. Then, The greatest common factor of 9408 and 63504 is 2352.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 79, then apply gcf to the result and 17459.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 79 is 3081. Then, The greatest common factor of 3081 and 17459 is 1027.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 53 and 116, then apply gcf to the result and 58406.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 53 and 116 is 6148. Then, The greatest common factor of 6148 and 58406 is 3074.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 50 and 55, then apply gcf to the result and 5775.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 50 and 55 is 550. Then, The greatest common factor of 550 and 5775 is 275.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 149 and 54, then apply gcf to the result and 4917.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 149 and 54 is 8046. Then, The greatest common factor of 8046 and 4917 is 447.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 143 and 62, then apply gcf to the result and 18538.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 143 and 62 is 8866. Then, The greatest common factor of 8866 and 18538 is 806.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 68 and 124, then apply gcf to the result and 14229.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 68 and 124 is 2108. Then, The greatest common factor of 2108 and 14229 is 527.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 106 and 176, then apply gcf to the result and 10176.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 106 and 176 is 9328. Then, The greatest common factor of 9328 and 10176 is 848.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 87 and 34, then apply gcf to the result and 45849.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 87 and 34 is 2958. Then, The greatest common factor of 2958 and 45849 is 1479.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 88 and 190, then apply gcf to the result and 3420.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 88 and 190 is 8360. Then, The greatest common factor of 8360 and 3420 is 380.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 67, then apply gcf to the result and 19095.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 67 is 9045. Then, The greatest common factor of 9045 and 19095 is 1005.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 43 and 40, then apply gcf to the result and 14620.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 43 and 40 is 1720. Then, The greatest common factor of 1720 and 14620 is 860.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 117 and 79, then apply gcf to the result and 35945.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 117 and 79 is 9243. Then, The greatest common factor of 9243 and 35945 is 1027.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 139 and 57, then apply gcf to the result and 76589.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 139 and 57 is 7923. Then, The greatest common factor of 7923 and 76589 is 2641.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 66 and 142, then apply gcf to the result and 9798.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 66 and 142 is 4686. Then, The greatest common factor of 4686 and 9798 is 426.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 52 and 49, then apply gcf to the result and 3822.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 52 and 49 is 2548. Then, The greatest common factor of 2548 and 3822 is 1274.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 85 and 58, then apply gcf to the result and 8381.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 85 and 58 is 4930. Then, The greatest common factor of 4930 and 8381 is 493.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 142 and 90, then apply gcf to the result and 7242.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 90 is 6390. Then, The greatest common factor of 6390 and 7242 is 426.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 56 and 40, then apply gcf to the result and 2380.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 56 and 40 is 280. Then, The greatest common factor of 280 and 2380 is 140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 53 and 123, then apply gcf to the result and 63017.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 53 and 123 is 6519. Then, The greatest common factor of 6519 and 63017 is 2173.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 172 and 46, then apply gcf to the result and 73186.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 172 and 46 is 3956. Then, The greatest common factor of 3956 and 73186 is 1978.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 23, then apply gcf to the result and 28704.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 23 is 1472. Then, The greatest common factor of 1472 and 28704 is 736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 140 and 66, then apply gcf to the result and 5698.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 140 and 66 is 4620. Then, The greatest common factor of 4620 and 5698 is 154.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 94 and 120, then apply gcf to the result and 5264.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 94 and 120 is 5640. Then, The greatest common factor of 5640 and 5264 is 376.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 19 and 26, then apply gcf to the result and 2717.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 26 is 494. Then, The greatest common factor of 494 and 2717 is 247.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 135 and 180, then apply gcf to the result and 10530.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 135 and 180 is 540. Then, The greatest common factor of 540 and 10530 is 270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 73 and 94, then apply gcf to the result and 2920.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 73 and 94 is 6862. Then, The greatest common factor of 6862 and 2920 is 146.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 162 and 110, then apply gcf to the result and 5346.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 162 and 110 is 8910. Then, The greatest common factor of 8910 and 5346 is 1782.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 82 and 58, then apply gcf to the result and 32103.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 82 and 58 is 2378. Then, The greatest common factor of 2378 and 32103 is 1189.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 18 and 96, then apply gcf to the result and 5616.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 18 and 96 is 288. Then, The greatest common factor of 288 and 5616 is 144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 21 and 160, then apply gcf to the result and 700.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 21 and 160 is 3360. Then, The greatest common factor of 3360 and 700 is 140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 192 and 124, then apply gcf to the result and 13764.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 192 and 124 is 5952. Then, The greatest common factor of 5952 and 13764 is 372.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 26 and 83, then apply gcf to the result and 3486.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 83 is 2158. Then, The greatest common factor of 2158 and 3486 is 166.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 125 and 85, then apply gcf to the result and 11050.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 125 and 85 is 2125. Then, The greatest common factor of 2125 and 11050 is 425.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 112 and 23, then apply gcf to the result and 1104.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 112 and 23 is 2576. Then, The greatest common factor of 2576 and 1104 is 368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 156 and 34, then apply gcf to the result and 7072.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 156 and 34 is 2652. Then, The greatest common factor of 2652 and 7072 is 884.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 126 and 25, then apply gcf to the result and 6975.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 126 and 25 is 3150. Then, The greatest common factor of 3150 and 6975 is 225.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 151 and 40, then apply gcf to the result and 12835.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 151 and 40 is 6040. Then, The greatest common factor of 6040 and 12835 is 755.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 193 and 49, then apply gcf to the result and 48636.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 193 and 49 is 9457. Then, The greatest common factor of 9457 and 48636 is 1351.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 133 and 43, then apply gcf to the result and 10535.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 133 and 43 is 5719. Then, The greatest common factor of 5719 and 10535 is 301.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 32 and 118, then apply gcf to the result and 2832.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 118 is 1888. Then, The greatest common factor of 1888 and 2832 is 944.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 30 and 32, then apply gcf to the result and 6960.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 30 and 32 is 480. Then, The greatest common factor of 480 and 6960 is 240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 101 and 75, then apply gcf to the result and 18180.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 101 and 75 is 7575. Then, The greatest common factor of 7575 and 18180 is 1515.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 35 and 44, then apply gcf to the result and 3500.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 35 and 44 is 1540. Then, The greatest common factor of 1540 and 3500 is 140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 159 and 75, then apply gcf to the result and 8215.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 159 and 75 is 3975. Then, The greatest common factor of 3975 and 8215 is 265.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 23 and 160, then apply gcf to the result and 6440.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 160 is 3680. Then, The greatest common factor of 3680 and 6440 is 920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 166 and 52, then apply gcf to the result and 39923.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 166 and 52 is 4316. Then, The greatest common factor of 4316 and 39923 is 1079.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 52, then apply gcf to the result and 3393.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 52 is 1404. Then, The greatest common factor of 1404 and 3393 is 117.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 37 and 81, then apply gcf to the result and 2109.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 37 and 81 is 2997. Then, The greatest common factor of 2997 and 2109 is 111.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 70 and 32, then apply gcf to the result and 10360.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 70 and 32 is 1120. Then, The greatest common factor of 1120 and 10360 is 280.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 55 and 174, then apply gcf to the result and 9251.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 55 and 174 is 9570. Then, The greatest common factor of 9570 and 9251 is 319.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 120 and 130, then apply gcf to the result and 1768.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 120 and 130 is 1560. Then, The greatest common factor of 1560 and 1768 is 104.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 22 and 85, then apply gcf to the result and 6290.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 22 and 85 is 1870. Then, The greatest common factor of 1870 and 6290 is 170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 142 and 69, then apply gcf to the result and 50623.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 69 is 9798. Then, The greatest common factor of 9798 and 50623 is 1633.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 64 and 122, then apply gcf to the result and 21472.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 122 is 3904. Then, The greatest common factor of 3904 and 21472 is 1952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 94 and 64, then apply gcf to the result and 2068.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 94 and 64 is 3008. Then, The greatest common factor of 3008 and 2068 is 188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 48 and 77, then apply gcf to the result and 4480.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 48 and 77 is 3696. Then, The greatest common factor of 3696 and 4480 is 112.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 91 and 50, then apply gcf to the result and 84175.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 91 and 50 is 4550. Then, The greatest common factor of 4550 and 84175 is 2275.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 105, then apply gcf to the result and 3465.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 105 is 1890. Then, The greatest common factor of 1890 and 3465 is 315.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 50 and 121, then apply gcf to the result and 13915.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 50 and 121 is 6050. Then, The greatest common factor of 6050 and 13915 is 605.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 76 and 49, then apply gcf to the result and 10640.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 76 and 49 is 3724. Then, The greatest common factor of 3724 and 10640 is 532.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 55 and 63, then apply gcf to the result and 2145.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 55 and 63 is 3465. Then, The greatest common factor of 3465 and 2145 is 165.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 140, then apply gcf to the result and 8211.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 140 is 7140. Then, The greatest common factor of 7140 and 8211 is 357.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 24 and 59, then apply gcf to the result and 13688.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 59 is 1416. Then, The greatest common factor of 1416 and 13688 is 472.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 142 and 41, then apply gcf to the result and 55309.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 41 is 5822. Then, The greatest common factor of 5822 and 55309 is 2911.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 48 and 170, then apply gcf to the result and 1496.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 48 and 170 is 4080. Then, The greatest common factor of 4080 and 1496 is 136.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 165 and 123, then apply gcf to the result and 14432.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 165 and 123 is 6765. Then, The greatest common factor of 6765 and 14432 is 451.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 154 and 49, then apply gcf to the result and 15631.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 154 and 49 is 1078. Then, The greatest common factor of 1078 and 15631 is 539.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 33 and 57, then apply gcf to the result and 6061.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 33 and 57 is 627. Then, The greatest common factor of 627 and 6061 is 209.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 57 and 64, then apply gcf to the result and 5376.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 57 and 64 is 3648. Then, The greatest common factor of 3648 and 5376 is 192.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 40 and 83, then apply gcf to the result and 12948.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 40 and 83 is 3320. Then, The greatest common factor of 3320 and 12948 is 332.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 63 and 12, then apply gcf to the result and 2142.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 63 and 12 is 252. Then, The greatest common factor of 252 and 2142 is 126.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 54 and 170, then apply gcf to the result and 3213.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 170 is 4590. Then, The greatest common factor of 4590 and 3213 is 459.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 33 and 36, then apply gcf to the result and 1716.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 33 and 36 is 396. Then, The greatest common factor of 396 and 1716 is 132.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 51 and 192, then apply gcf to the result and 14688.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 192 is 3264. Then, The greatest common factor of 3264 and 14688 is 1632.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 124 and 84, then apply gcf to the result and 24738.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 124 and 84 is 2604. Then, The greatest common factor of 2604 and 24738 is 1302.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 165 and 144, then apply gcf to the result and 97680.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 165 and 144 is 7920. Then, The greatest common factor of 7920 and 97680 is 2640.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 187 and 48, then apply gcf to the result and 1938.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 187 and 48 is 8976. Then, The greatest common factor of 8976 and 1938 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 110 and 54, then apply gcf to the result and 6831.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 110 and 54 is 2970. Then, The greatest common factor of 2970 and 6831 is 297.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 124 and 36, then apply gcf to the result and 2418.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 124 and 36 is 1116. Then, The greatest common factor of 1116 and 2418 is 186.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 122 and 79, then apply gcf to the result and 5056.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 122 and 79 is 9638. Then, The greatest common factor of 9638 and 5056 is 158.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 46 and 118, then apply gcf to the result and 47495.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 118 is 2714. Then, The greatest common factor of 2714 and 47495 is 1357.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 15 and 104, then apply gcf to the result and 19240.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 104 is 1560. Then, The greatest common factor of 1560 and 19240 is 520.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 24 and 94, then apply gcf to the result and 4230.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 94 is 1128. Then, The greatest common factor of 1128 and 4230 is 282.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 82 and 42, then apply gcf to the result and 7175.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 82 and 42 is 1722. Then, The greatest common factor of 1722 and 7175 is 287.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 153 and 12, then apply gcf to the result and 408.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 153 and 12 is 612. Then, The greatest common factor of 612 and 408 is 204.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 63 and 88, then apply gcf to the result and 10164.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 63 and 88 is 5544. Then, The greatest common factor of 5544 and 10164 is 924.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 81 and 25, then apply gcf to the result and 4500.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 81 and 25 is 2025. Then, The greatest common factor of 2025 and 4500 is 225.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 104 and 66, then apply gcf to the result and 8580.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 104 and 66 is 3432. Then, The greatest common factor of 3432 and 8580 is 1716.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 74 and 51, then apply gcf to the result and 510.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 74 and 51 is 3774. Then, The greatest common factor of 3774 and 510 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 184 and 39, then apply gcf to the result and 7774.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 184 and 39 is 7176. Then, The greatest common factor of 7176 and 7774 is 598.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 61 and 100, then apply gcf to the result and 7015.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 61 and 100 is 6100. Then, The greatest common factor of 6100 and 7015 is 305.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 92 and 35, then apply gcf to the result and 8970.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 92 and 35 is 3220. Then, The greatest common factor of 3220 and 8970 is 230.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 72 and 52, then apply gcf to the result and 2964.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 72 and 52 is 936. Then, The greatest common factor of 936 and 2964 is 156.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 107 and 75, then apply gcf to the result and 4280.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 107 and 75 is 8025. Then, The greatest common factor of 8025 and 4280 is 535.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 62 and 45, then apply gcf to the result and 11625.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 62 and 45 is 2790. Then, The greatest common factor of 2790 and 11625 is 465.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 28 and 82, then apply gcf to the result and 1640.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 28 and 82 is 1148. Then, The greatest common factor of 1148 and 1640 is 164.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 130 and 49, then apply gcf to the result and 15015.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 130 and 49 is 6370. Then, The greatest common factor of 6370 and 15015 is 455.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 32 and 38, then apply gcf to the result and 5320.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 38 is 608. Then, The greatest common factor of 608 and 5320 is 152.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 176 and 26, then apply gcf to the result and 2717.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 176 and 26 is 2288. Then, The greatest common factor of 2288 and 2717 is 143.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 113 and 38, then apply gcf to the result and 3842.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 113 and 38 is 4294. Then, The greatest common factor of 4294 and 3842 is 226.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 79 and 76, then apply gcf to the result and 55537.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 76 is 6004. Then, The greatest common factor of 6004 and 55537 is 1501.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 39 and 142, then apply gcf to the result and 35997.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 39 and 142 is 5538. Then, The greatest common factor of 5538 and 35997 is 2769.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 729 and 1701, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 729 and 1701 is 243. Then, The least common multiple of 243 and 5 is 1215.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2908 and 7997, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2908 and 7997 is 727. Then, The least common multiple of 727 and 12 is 8724.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2135 and 4697, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2135 and 4697 is 427. Then, The least common multiple of 427 and 8 is 3416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6210 and 6900, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6210 and 6900 is 690. Then, The least common multiple of 690 and 4 is 1380.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2109 and 5624, then apply lcm to the result and 76.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2109 and 5624 is 703. Then, The least common multiple of 703 and 76 is 2812.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2445 and 8965, then apply lcm to the result and 35.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2445 and 8965 is 815. Then, The least common multiple of 815 and 35 is 5705.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1152 and 2016, then apply lcm to the result and 20.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1152 and 2016 is 288. Then, The least common multiple of 288 and 20 is 1440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3088 and 3474, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3088 and 3474 is 386. Then, The least common multiple of 386 and 36 is 6948.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2250 and 3600, then apply lcm to the result and 55.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2250 and 3600 is 450. Then, The least common multiple of 450 and 55 is 4950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1785 and 2499, then apply lcm to the result and 68.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1785 and 2499 is 357. Then, The least common multiple of 357 and 68 is 1428.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2076 and 3633, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2076 and 3633 is 519. Then, The least common multiple of 519 and 5 is 2595.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2020 and 3636, then apply lcm to the result and 88.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2020 and 3636 is 404. Then, The least common multiple of 404 and 88 is 8888.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2560 and 5760, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2560 and 5760 is 640. Then, The least common multiple of 640 and 13 is 8320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 768 and 2112, then apply lcm to the result and 47.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 768 and 2112 is 192. Then, The least common multiple of 192 and 47 is 9024.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2883 and 4805, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2883 and 4805 is 961. Then, The least common multiple of 961 and 2 is 1922.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 792 and 2178, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 792 and 2178 is 198. Then, The least common multiple of 198 and 26 is 2574.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1371 and 1828, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1371 and 1828 is 457. Then, The least common multiple of 457 and 6 is 2742.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 820 and 1312, then apply lcm to the result and 19.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 820 and 1312 is 164. Then, The least common multiple of 164 and 19 is 3116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6405 and 9150, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6405 and 9150 is 915. Then, The least common multiple of 915 and 27 is 8235.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1196 and 2691, then apply lcm to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1196 and 2691 is 299. Then, The least common multiple of 299 and 17 is 5083.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1894 and 10417, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1894 and 10417 is 947. Then, The least common multiple of 947 and 7 is 6629.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1272 and 6996, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1272 and 6996 is 636. Then, The least common multiple of 636 and 10 is 3180.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6573 and 10329, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6573 and 10329 is 939. Then, The least common multiple of 939 and 4 is 3756.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1455 and 2037, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1455 and 2037 is 291. Then, The least common multiple of 291 and 10 is 2910.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 896 and 4032, then apply lcm to the result and 91.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 896 and 4032 is 448. Then, The least common multiple of 448 and 91 is 5824.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1125 and 1500, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1125 and 1500 is 375. Then, The least common multiple of 375 and 7 is 2625.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 534 and 890, then apply lcm to the result and 47.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 534 and 890 is 178. Then, The least common multiple of 178 and 47 is 8366.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 568 and 852, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 568 and 852 is 284. Then, The least common multiple of 284 and 14 is 1988.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3470 and 4164, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3470 and 4164 is 694. Then, The least common multiple of 694 and 28 is 9716.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2048 and 2560, then apply lcm to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2048 and 2560 is 512. Then, The least common multiple of 512 and 17 is 8704.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7668 and 9372, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7668 and 9372 is 852. Then, The least common multiple of 852 and 32 is 6816.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3888 and 4374, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3888 and 4374 is 486. Then, The least common multiple of 486 and 28 is 6804.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2156 and 3080, then apply lcm to the result and 64.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2156 and 3080 is 308. Then, The least common multiple of 308 and 64 is 4928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6076 and 6944, then apply lcm to the result and 93.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6076 and 6944 is 868. Then, The least common multiple of 868 and 93 is 2604.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2116 and 5819, then apply lcm to the result and 16.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2116 and 5819 is 529. Then, The least common multiple of 529 and 16 is 8464.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3348 and 4092, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3348 and 4092 is 372. Then, The least common multiple of 372 and 10 is 1860.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3905 and 7029, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3905 and 7029 is 781. Then, The least common multiple of 781 and 22 is 1562.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2538 and 2820, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2538 and 2820 is 282. Then, The least common multiple of 282 and 84 is 3948.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1830 and 2440, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1830 and 2440 is 610. Then, The least common multiple of 610 and 7 is 4270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2681 and 3830, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2681 and 3830 is 383. Then, The least common multiple of 383 and 2 is 766.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1920 and 2240, then apply lcm to the result and 31.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1920 and 2240 is 320. Then, The least common multiple of 320 and 31 is 9920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7872 and 8856, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7872 and 8856 is 984. Then, The least common multiple of 984 and 15 is 4920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2232 and 3069, then apply lcm to the result and 81.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2232 and 3069 is 279. Then, The least common multiple of 279 and 81 is 2511.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3080 and 4235, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3080 and 4235 is 385. Then, The least common multiple of 385 and 22 is 770.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3648 and 4104, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3648 and 4104 is 456. Then, The least common multiple of 456 and 26 is 5928.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2444 and 4277, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2444 and 4277 is 611. Then, The least common multiple of 611 and 11 is 6721.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2976 and 5456, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2976 and 5456 is 496. Then, The least common multiple of 496 and 26 is 6448.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2469 and 3292, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2469 and 3292 is 823. Then, The least common multiple of 823 and 12 is 9876.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1359 and 1661, then apply lcm to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1359 and 1661 is 151. Then, The least common multiple of 151 and 50 is 7550.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1338 and 3122, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1338 and 3122 is 446. Then, The least common multiple of 446 and 8 is 1784.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3150 and 4410, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3150 and 4410 is 630. Then, The least common multiple of 630 and 27 is 1890.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2684 and 3355, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2684 and 3355 is 671. Then, The least common multiple of 671 and 2 is 1342.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1917 and 7029, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1917 and 7029 is 639. Then, The least common multiple of 639 and 4 is 2556.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1080 and 1512, then apply lcm to the result and 82.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1080 and 1512 is 216. Then, The least common multiple of 216 and 82 is 8856.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1815 and 2541, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1815 and 2541 is 363. Then, The least common multiple of 363 and 42 is 5082.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2605 and 4689, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2605 and 4689 is 521. Then, The least common multiple of 521 and 8 is 4168.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2373 and 3729, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2373 and 3729 is 339. Then, The least common multiple of 339 and 2 is 678.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1032 and 2408, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1032 and 2408 is 344. Then, The least common multiple of 344 and 9 is 3096.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1980 and 2420, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1980 and 2420 is 220. Then, The least common multiple of 220 and 42 is 4620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3645 and 4050, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3645 and 4050 is 405. Then, The least common multiple of 405 and 42 is 5670.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 430 and 1935, then apply lcm to the result and 44.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 430 and 1935 is 215. Then, The least common multiple of 215 and 44 is 9460.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 837 and 1116, then apply lcm to the result and 63.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 837 and 1116 is 279. Then, The least common multiple of 279 and 63 is 1953.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1564 and 3519, then apply lcm to the result and 19.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1564 and 3519 is 391. Then, The least common multiple of 391 and 19 is 7429.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3728 and 6524, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3728 and 6524 is 932. Then, The least common multiple of 932 and 32 is 7456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1725 and 4600, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1725 and 4600 is 575. Then, The least common multiple of 575 and 13 is 7475.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1848 and 2079, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1848 and 2079 is 231. Then, The least common multiple of 231 and 32 is 7392.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2607 and 8690, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2607 and 8690 is 869. Then, The least common multiple of 869 and 8 is 6952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1080 and 1728, then apply lcm to the result and 63.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1080 and 1728 is 216. Then, The least common multiple of 216 and 63 is 1512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3038 and 4774, then apply lcm to the result and 23.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3038 and 4774 is 434. Then, The least common multiple of 434 and 23 is 9982.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2464 and 4312, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2464 and 4312 is 616. Then, The least common multiple of 616 and 10 is 3080.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2370 and 8690, then apply lcm to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2370 and 8690 is 790. Then, The least common multiple of 790 and 50 is 3950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2115 and 2585, then apply lcm to the result and 60.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2115 and 2585 is 235. Then, The least common multiple of 235 and 60 is 2820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3264 and 3808, then apply lcm to the result and 52.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3264 and 3808 is 544. Then, The least common multiple of 544 and 52 is 7072.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3208 and 8822, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3208 and 8822 is 802. Then, The least common multiple of 802 and 3 is 2406.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 366 and 1647, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 366 and 1647 is 183. Then, The least common multiple of 183 and 21 is 1281.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1610 and 2898, then apply lcm to the result and 62.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1610 and 2898 is 322. Then, The least common multiple of 322 and 62 is 9982.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5460 and 6370, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5460 and 6370 is 910. Then, The least common multiple of 910 and 18 is 8190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 847 and 1210, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 847 and 1210 is 121. Then, The least common multiple of 121 and 22 is 242.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4893 and 7689, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4893 and 7689 is 699. Then, The least common multiple of 699 and 27 is 6291.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2733 and 10021, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2733 and 10021 is 911. Then, The least common multiple of 911 and 7 is 6377.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6444 and 7876, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6444 and 7876 is 716. Then, The least common multiple of 716 and 32 is 5728.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3625 and 5800, then apply lcm to the result and 60.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3625 and 5800 is 725. Then, The least common multiple of 725 and 60 is 8700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1130 and 2034, then apply lcm to the result and 31.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1130 and 2034 is 226. Then, The least common multiple of 226 and 31 is 7006.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1824 and 4104, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1824 and 4104 is 456. Then, The least common multiple of 456 and 18 is 1368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1708 and 9394, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1708 and 9394 is 854. Then, The least common multiple of 854 and 18 is 7686.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5556 and 10186, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5556 and 10186 is 926. Then, The least common multiple of 926 and 18 is 8334.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 816 and 1020, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 816 and 1020 is 204. Then, The least common multiple of 204 and 66 is 2244.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5348 and 6876, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5348 and 6876 is 764. Then, The least common multiple of 764 and 3 is 2292.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 327 and 436, then apply lcm to the result and 58.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 327 and 436 is 109. Then, The least common multiple of 109 and 58 is 6322.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2784 and 10208, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2784 and 10208 is 928. Then, The least common multiple of 928 and 14 is 6496.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1468 and 1835, then apply lcm to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1468 and 1835 is 367. Then, The least common multiple of 367 and 17 is 6239.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1761 and 2348, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1761 and 2348 is 587. Then, The least common multiple of 587 and 12 is 7044.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4055 and 5677, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4055 and 5677 is 811. Then, The least common multiple of 811 and 8 is 6488.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1456 and 6552, then apply lcm to the result and 48.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1456 and 6552 is 728. Then, The least common multiple of 728 and 48 is 4368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 342 and 513, then apply lcm to the result and 69.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 342 and 513 is 171. Then, The least common multiple of 171 and 69 is 3933.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5877 and 7183, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5877 and 7183 is 653. Then, The least common multiple of 653 and 14 is 9142.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2688 and 3696, then apply lcm to the result and 54.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2688 and 3696 is 336. Then, The least common multiple of 336 and 54 is 3024.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 740 and 1850, then apply lcm to the result and 45.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 740 and 1850 is 370. Then, The least common multiple of 370 and 45 is 3330.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3640 and 5824, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3640 and 5824 is 728. Then, The least common multiple of 728 and 36 is 6552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 910 and 1040, then apply lcm to the result and 46.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 910 and 1040 is 130. Then, The least common multiple of 130 and 46 is 2990.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1300 and 4550, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1300 and 4550 is 650. Then, The least common multiple of 650 and 22 is 7150.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4424 and 4977, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4424 and 4977 is 553. Then, The least common multiple of 553 and 3 is 1659.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4875 and 5850, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4875 and 5850 is 975. Then, The least common multiple of 975 and 7 is 6825.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4600 and 5175, then apply lcm to the result and 60.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4600 and 5175 is 575. Then, The least common multiple of 575 and 60 is 6900.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1026 and 1368, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1026 and 1368 is 342. Then, The least common multiple of 342 and 10 is 1710.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 238 and 1071, then apply lcm to the result and 26.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 238 and 1071 is 119. Then, The least common multiple of 119 and 26 is 3094.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1464 and 3294, then apply lcm to the result and 84.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1464 and 3294 is 366. Then, The least common multiple of 366 and 84 is 5124.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4565 and 5478, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4565 and 5478 is 913. Then, The least common multiple of 913 and 3 is 2739.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 588 and 882, then apply lcm to the result and 29.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 588 and 882 is 294. Then, The least common multiple of 294 and 29 is 8526.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1956 and 2934, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1956 and 2934 is 978. Then, The least common multiple of 978 and 30 is 4890.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1284 and 1498, then apply lcm to the result and 31.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1284 and 1498 is 214. Then, The least common multiple of 214 and 31 is 6634.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1840 and 4140, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1840 and 4140 is 460. Then, The least common multiple of 460 and 21 is 9660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2190 and 4015, then apply lcm to the result and 80.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2190 and 4015 is 365. Then, The least common multiple of 365 and 80 is 5840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3552 and 6512, then apply lcm to the result and 56.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3552 and 6512 is 592. Then, The least common multiple of 592 and 56 is 4144.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1519 and 2170, then apply lcm to the result and 46.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1519 and 2170 is 217. Then, The least common multiple of 217 and 46 is 9982.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 717 and 1912, then apply lcm to the result and 19.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 717 and 1912 is 239. Then, The least common multiple of 239 and 19 is 4541.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1575 and 2250, then apply lcm to the result and 39.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1575 and 2250 is 225. Then, The least common multiple of 225 and 39 is 2925.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3060 and 3740, then apply lcm to the result and 96.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3060 and 3740 is 340. Then, The least common multiple of 340 and 96 is 8160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2352 and 7840, then apply lcm to the result and 88.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2352 and 7840 is 784. Then, The least common multiple of 784 and 88 is 8624.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2510 and 4016, then apply lcm to the result and 30.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2510 and 4016 is 502. Then, The least common multiple of 502 and 30 is 7530.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1824 and 2128, then apply lcm to the result and 29.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1824 and 2128 is 304. Then, The least common multiple of 304 and 29 is 8816.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 472 and 2596, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 472 and 2596 is 236. Then, The least common multiple of 236 and 42 is 4956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 718 and 3949, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 718 and 3949 is 359. Then, The least common multiple of 359 and 10 is 3590.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2370 and 5530, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2370 and 5530 is 790. Then, The least common multiple of 790 and 8 is 3160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3485 and 4182, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3485 and 4182 is 697. Then, The least common multiple of 697 and 13 is 9061.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 7983 and 8870, then apply lcm to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 7983 and 8870 is 887. Then, The least common multiple of 887 and 2 is 1774.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6013 and 6872, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6013 and 6872 is 859. Then, The least common multiple of 859 and 4 is 3436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3780 and 6930, then apply lcm to the result and 98.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3780 and 6930 is 630. Then, The least common multiple of 630 and 98 is 4410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4382 and 6260, then apply lcm to the result and 24.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4382 and 6260 is 626. Then, The least common multiple of 626 and 24 is 7512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1284 and 3424, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1284 and 3424 is 428. Then, The least common multiple of 428 and 7 is 2996.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1278 and 1704, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1278 and 1704 is 426. Then, The least common multiple of 426 and 12 is 852.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1092 and 1560, then apply lcm to the result and 58.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1092 and 1560 is 156. Then, The least common multiple of 156 and 58 is 4524.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2387 and 3751, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2387 and 3751 is 341. Then, The least common multiple of 341 and 66 is 2046.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2460 and 3075, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2460 and 3075 is 615. Then, The least common multiple of 615 and 18 is 3690.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1900 and 4180, then apply lcm to the result and 88.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1900 and 4180 is 380. Then, The least common multiple of 380 and 88 is 8360.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4158 and 7623, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4158 and 7623 is 693. Then, The least common multiple of 693 and 5 is 3465.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 390 and 1300, then apply lcm to the result and 68.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 390 and 1300 is 130. Then, The least common multiple of 130 and 68 is 4420.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1944 and 3402, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1944 and 3402 is 486. Then, The least common multiple of 486 and 15 is 2430.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1852 and 4167, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1852 and 4167 is 463. Then, The least common multiple of 463 and 14 is 6482.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 950 and 4275, then apply lcm to the result and 65.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 950 and 4275 is 475. Then, The least common multiple of 475 and 65 is 6175.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5776 and 7942, then apply lcm to the result and 14.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5776 and 7942 is 722. Then, The least common multiple of 722 and 14 is 5054.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 804 and 2010, then apply lcm to the result and 78.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 804 and 2010 is 402. Then, The least common multiple of 402 and 78 is 5226.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2709 and 3483, then apply lcm to the result and 42.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2709 and 3483 is 387. Then, The least common multiple of 387 and 42 is 5418.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2739 and 9130, then apply lcm to the result and 99.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2739 and 9130 is 913. Then, The least common multiple of 913 and 99 is 8217.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1812 and 2416, then apply lcm to the result and 32.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1812 and 2416 is 604. Then, The least common multiple of 604 and 32 is 4832.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2697 and 3596, then apply lcm to the result and 58.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2697 and 3596 is 899. Then, The least common multiple of 899 and 58 is 1798.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1953 and 6510, then apply lcm to the result and 33.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1953 and 6510 is 651. Then, The least common multiple of 651 and 33 is 7161.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 950 and 1425, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 950 and 1425 is 475. Then, The least common multiple of 475 and 6 is 2850.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3570 and 6545, then apply lcm to the result and 51.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3570 and 6545 is 595. Then, The least common multiple of 595 and 51 is 1785.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 880 and 1210, then apply lcm to the result and 33.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 880 and 1210 is 110. Then, The least common multiple of 110 and 33 is 330.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1470 and 1960, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1470 and 1960 is 490. Then, The least common multiple of 490 and 28 is 980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1395 and 2325, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1395 and 2325 is 465. Then, The least common multiple of 465 and 8 is 3720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 938 and 3283, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 938 and 3283 is 469. Then, The least common multiple of 469 and 5 is 2345.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1316 and 1880, then apply lcm to the result and 78.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1316 and 1880 is 188. Then, The least common multiple of 188 and 78 is 7332.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3490 and 4886, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3490 and 4886 is 698. Then, The least common multiple of 698 and 6 is 2094.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1176 and 1617, then apply lcm to the result and 12.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1176 and 1617 is 147. Then, The least common multiple of 147 and 12 is 588.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 6624 and 7452, then apply lcm to the result and 27.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 6624 and 7452 is 828. Then, The least common multiple of 828 and 27 is 2484.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3240 and 4536, then apply lcm to the result and 66.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3240 and 4536 is 648. Then, The least common multiple of 648 and 66 is 7128.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2668 and 6003, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2668 and 6003 is 667. Then, The least common multiple of 667 and 8 is 5336.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1203 and 4010, then apply lcm to the result and 11.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1203 and 4010 is 401. Then, The least common multiple of 401 and 11 is 4411.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1480 and 8140, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1480 and 8140 is 740. Then, The least common multiple of 740 and 18 is 6660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2052 and 2565, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2052 and 2565 is 513. Then, The least common multiple of 513 and 13 is 6669.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3560 and 4272, then apply lcm to the result and 18.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3560 and 4272 is 712. Then, The least common multiple of 712 and 18 is 6408.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5390 and 8470, then apply lcm to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5390 and 8470 is 770. Then, The least common multiple of 770 and 6 is 2310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1310 and 1834, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1310 and 1834 is 262. Then, The least common multiple of 262 and 4 is 524.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1065 and 1917, then apply lcm to the result and 78.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1065 and 1917 is 213. Then, The least common multiple of 213 and 78 is 5538.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4295 and 6872, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4295 and 6872 is 859. Then, The least common multiple of 859 and 4 is 3436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1500 and 5000, then apply lcm to the result and 36.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1500 and 5000 is 500. Then, The least common multiple of 500 and 36 is 4500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1058 and 4761, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1058 and 4761 is 529. Then, The least common multiple of 529 and 10 is 5290.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3094 and 3978, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3094 and 3978 is 442. Then, The least common multiple of 442 and 21 is 9282.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8163 and 9070, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8163 and 9070 is 907. Then, The least common multiple of 907 and 7 is 6349.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1458 and 4860, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1458 and 4860 is 486. Then, The least common multiple of 486 and 7 is 3402.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1827 and 2030, then apply lcm to the result and 91.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1827 and 2030 is 203. Then, The least common multiple of 203 and 91 is 2639.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1344 and 1728, then apply lcm to the result and 44.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1344 and 1728 is 192. Then, The least common multiple of 192 and 44 is 2112.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2392 and 5382, then apply lcm to the result and 15.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2392 and 5382 is 598. Then, The least common multiple of 598 and 15 is 8970.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2824 and 6354, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2824 and 6354 is 706. Then, The least common multiple of 706 and 5 is 3530.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2181 and 5816, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2181 and 5816 is 727. Then, The least common multiple of 727 and 13 is 9451.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5334 and 6096, then apply lcm to the result and 33.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5334 and 6096 is 762. Then, The least common multiple of 762 and 33 is 8382.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2170 and 3038, then apply lcm to the result and 21.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2170 and 3038 is 434. Then, The least common multiple of 434 and 21 is 1302.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4855 and 10681, then apply lcm to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4855 and 10681 is 971. Then, The least common multiple of 971 and 9 is 8739.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1626 and 1897, then apply lcm to the result and 22.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1626 and 1897 is 271. Then, The least common multiple of 271 and 22 is 5962.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 432 and 1008, then apply lcm to the result and 50.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 432 and 1008 is 144. Then, The least common multiple of 144 and 50 is 3600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3696 and 4312, then apply lcm to the result and 72.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3696 and 4312 is 616. Then, The least common multiple of 616 and 72 is 5544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1238 and 4333, then apply lcm to the result and 13.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1238 and 4333 is 619. Then, The least common multiple of 619 and 13 is 8047.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1473 and 3928, then apply lcm to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1473 and 3928 is 491. Then, The least common multiple of 491 and 4 is 1964.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3956 and 8901, then apply lcm to the result and 46.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3956 and 8901 is 989. Then, The least common multiple of 989 and 46 is 1978.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4325 and 5190, then apply lcm to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4325 and 5190 is 865. Then, The least common multiple of 865 and 7 is 6055.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5772 and 6734, then apply lcm to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5772 and 6734 is 962. Then, The least common multiple of 962 and 3 is 2886.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 908 and 2497, then apply lcm to the result and 37.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 908 and 2497 is 227. Then, The least common multiple of 227 and 37 is 8399.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1214 and 5463, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1214 and 5463 is 607. Then, The least common multiple of 607 and 8 is 4856.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1750 and 9625, then apply lcm to the result and 75.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1750 and 9625 is 875. Then, The least common multiple of 875 and 75 is 2625.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 520 and 780, then apply lcm to the result and 35.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 520 and 780 is 260. Then, The least common multiple of 260 and 35 is 1820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 964 and 1446, then apply lcm to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 964 and 1446 is 482. Then, The least common multiple of 482 and 5 is 2410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2880 and 5280, then apply lcm to the result and 17.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2880 and 5280 is 480. Then, The least common multiple of 480 and 17 is 8160.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4986 and 5817, then apply lcm to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4986 and 5817 is 831. Then, The least common multiple of 831 and 8 is 6648.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2450 and 3150, then apply lcm to the result and 28.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2450 and 3150 is 350. Then, The least common multiple of 350 and 28 is 700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4815 and 10593, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4815 and 10593 is 963. Then, The least common multiple of 963 and 10 is 9630.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2064 and 2322, then apply lcm to the result and 34.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2064 and 2322 is 258. Then, The least common multiple of 258 and 34 is 4386.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1596 and 7182, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1596 and 7182 is 798. Then, The least common multiple of 798 and 10 is 3990.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 1029 and 2401, then apply lcm to the result and 10.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 1029 and 2401 is 343. Then, The least common multiple of 343 and 10 is 3430.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 900 + 2311 - 23 = 3188. Then, Multiply the result 3188 by 3: 3188 * 3 = 9564.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3545 + 464 - 30 = 3979. Then, Multiply the result 3979 by 2: 3979 * 2 = 7958.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 316 + 166 - 98 = 384. Then, Multiply the result 384 by 5: 384 * 5 = 1920.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4769 + 203 - 51 = 4921. Then, Multiply the result 4921 by 2: 4921 * 2 = 9842.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2764 + 1711 - 179 = 4296. Then, Multiply the result 4296 by 2: 4296 * 2 = 8592.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4320 + 386 - 111 = 4595. Then, Multiply the result 4595 by 2: 4595 * 2 = 9190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 851 + 3592 - 46 = 4397. Then, Multiply the result 4397 by 2: 4397 * 2 = 8794.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 886 + 2718 - 110 = 3494. Then, Multiply the result 3494 by 2: 3494 * 2 = 6988.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 327 + 3585 - 38 = 3874. Then, Multiply the result 3874 by 2: 3874 * 2 = 7748.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4256 + 493 - 37 = 4712. Then, Multiply the result 4712 by 2: 4712 * 2 = 9424.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 247 + 342 - 158 = 431. Then, Multiply the result 431 by 4: 431 * 4 = 1724.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3552 + 1390 - 76 = 4866. Then, Multiply the result 4866 by 2: 4866 * 2 = 9732.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2651 + 1163 - 146 = 3668. Then, Multiply the result 3668 by 2: 3668 * 2 = 7336.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3394 + 363 - 34 = 3723. Then, Multiply the result 3723 by 2: 3723 * 2 = 7446.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 259 + 2221 - 63 = 2417. Then, Multiply the result 2417 by 3: 2417 * 3 = 7251.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2053 + 1313 - 180 = 3186. Then, Multiply the result 3186 by 2: 3186 * 2 = 6372.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1835 + 2256 - 76 = 4015. Then, Multiply the result 4015 by 2: 4015 * 2 = 8030.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 181 + 497 - 53 = 625. Then, Multiply the result 625 by 3: 625 * 3 = 1875.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 579 + 1632 - 195 = 2016. Then, Multiply the result 2016 by 4: 2016 * 4 = 8064.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 378 + 904 - 76 = 1206. Then, Multiply the result 1206 by 8: 1206 * 8 = 9648.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 758 + 2478 - 73 = 3163. Then, Multiply the result 3163 by 3: 3163 * 3 = 9489.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1583 + 1639 - 97 = 3125. Then, Multiply the result 3125 by 3: 3125 * 3 = 9375.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2049 + 2252 - 137 = 4164. Then, Multiply the result 4164 by 2: 4164 * 2 = 8328.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1570 + 2318 - 116 = 3772. Then, Multiply the result 3772 by 2: 3772 * 2 = 7544.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1429 + 956 - 126 = 2259. Then, Multiply the result 2259 by 2: 2259 * 2 = 4518.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2057 + 2856 - 176 = 4737. Then, Multiply the result 4737 by 2: 4737 * 2 = 9474.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 710 + 1013 - 179 = 1544. Then, Multiply the result 1544 by 6: 1544 * 6 = 9264.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 692 + 404 - 86 = 1010. Then, Multiply the result 1010 by 2: 1010 * 2 = 2020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 568 + 193 - 152 = 609. Then, Multiply the result 609 by 4: 609 * 4 = 2436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 179 + 277 - 89 = 367. Then, Multiply the result 367 by 21: 367 * 21 = 7707.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 456 + 2293 - 40 = 2709. Then, Multiply the result 2709 by 3: 2709 * 3 = 8127.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 913 + 614 - 159 = 1368. Then, Multiply the result 1368 by 3: 1368 * 3 = 4104.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 424 + 1961 - 43 = 2342. Then, Multiply the result 2342 by 4: 2342 * 4 = 9368.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4596 + 196 - 75 = 4717. Then, Multiply the result 4717 by 2: 4717 * 2 = 9434.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 670 + 66 - 39 = 697. Then, Multiply the result 697 by 2: 697 * 2 = 1394.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2126 + 710 - 62 = 2774. Then, Multiply the result 2774 by 2: 2774 * 2 = 5548.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 422 + 1881 - 39 = 2264. Then, Multiply the result 2264 by 4: 2264 * 4 = 9056.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 124 + 1075 - 94 = 1105. Then, Multiply the result 1105 by 9: 1105 * 9 = 9945.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1277 + 1306 - 113 = 2470. Then, Multiply the result 2470 by 3: 2470 * 3 = 7410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 682 + 1695 - 34 = 2343. Then, Multiply the result 2343 by 3: 2343 * 3 = 7029.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2144 + 1562 - 30 = 3676. Then, Multiply the result 3676 by 2: 3676 * 2 = 7352.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 61 + 111 - 56 = 116. Then, Multiply the result 116 by 79: 116 * 79 = 9164.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1084 + 296 - 107 = 1273. Then, Multiply the result 1273 by 2: 1273 * 2 = 2546.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1066 + 1113 - 144 = 2035. Then, Multiply the result 2035 by 3: 2035 * 3 = 6105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2479 + 1766 - 32 = 4213. Then, Multiply the result 4213 by 2: 4213 * 2 = 8426.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 732 + 2037 - 98 = 2671. Then, Multiply the result 2671 by 3: 2671 * 3 = 8013.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1009 + 2536 - 37 = 3508. Then, Multiply the result 3508 by 2: 3508 * 2 = 7016.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 650 + 293 - 53 = 890. Then, Multiply the result 890 by 8: 890 * 8 = 7120.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1088 + 3303 - 23 = 4368. Then, Multiply the result 4368 by 2: 4368 * 2 = 8736.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 503 + 425 - 181 = 747. Then, Multiply the result 747 by 6: 747 * 6 = 4482.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 654 + 3918 - 31 = 4541. Then, Multiply the result 4541 by 2: 4541 * 2 = 9082.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 935 + 87 - 48 = 974. Then, Multiply the result 974 by 10: 974 * 10 = 9740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 973 + 4037 - 28 = 4982. Then, Multiply the result 4982 by 2: 4982 * 2 = 9964.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 125 + 486 - 38 = 573. Then, Multiply the result 573 by 8: 573 * 8 = 4584.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 631 + 153 - 143 = 641. Then, Multiply the result 641 by 4: 641 * 4 = 2564.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1279 + 2233 - 179 = 3333. Then, Multiply the result 3333 by 2: 3333 * 2 = 6666.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1700 + 1763 - 198 = 3265. Then, Multiply the result 3265 by 2: 3265 * 2 = 6530.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 355 + 274 - 40 = 589. Then, Multiply the result 589 by 13: 589 * 13 = 7657.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3504 + 878 - 158 = 4224. Then, Multiply the result 4224 by 2: 4224 * 2 = 8448.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1069 + 508 - 39 = 1538. Then, Multiply the result 1538 by 5: 1538 * 5 = 7690.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 202 + 839 - 134 = 907. Then, Multiply the result 907 by 11: 907 * 11 = 9977.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 489 + 1538 - 117 = 1910. Then, Multiply the result 1910 by 3: 1910 * 3 = 5730.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2374 + 1903 - 69 = 4208. Then, Multiply the result 4208 by 2: 4208 * 2 = 8416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1022 + 2777 - 197 = 3602. Then, Multiply the result 3602 by 2: 3602 * 2 = 7204.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 688 + 3322 - 121 = 3889. Then, Multiply the result 3889 by 2: 3889 * 2 = 7778.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1970 + 189 - 108 = 2051. Then, Multiply the result 2051 by 2: 2051 * 2 = 4102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 208 + 1344 - 128 = 1424. Then, Multiply the result 1424 by 4: 1424 * 4 = 5696.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1147 + 3139 - 199 = 4087. Then, Multiply the result 4087 by 2: 4087 * 2 = 8174.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1834 + 1141 - 89 = 2886. Then, Multiply the result 2886 by 3: 2886 * 3 = 8658.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 876 + 2205 - 34 = 3047. Then, Multiply the result 3047 by 3: 3047 * 3 = 9141.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2132 + 1897 - 32 = 3997. Then, Multiply the result 3997 by 2: 3997 * 2 = 7994.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 607 + 470 - 49 = 1028. Then, Multiply the result 1028 by 8: 1028 * 8 = 8224.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 777 + 1641 - 179 = 2239. Then, Multiply the result 2239 by 4: 2239 * 4 = 8956.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 219 + 167 - 111 = 275. Then, Multiply the result 275 by 29: 275 * 29 = 7975.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 229 + 2076 - 100 = 2205. Then, Multiply the result 2205 by 2: 2205 * 2 = 4410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2046 + 1725 - 146 = 3625. Then, Multiply the result 3625 by 2: 3625 * 2 = 7250.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 300 + 291 - 163 = 428. Then, Multiply the result 428 by 14: 428 * 14 = 5992.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 129 + 165 - 128 = 166. Then, Multiply the result 166 by 6: 166 * 6 = 996.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 365 + 2520 - 75 = 2810. Then, Multiply the result 2810 by 2: 2810 * 2 = 5620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 38 + 135 - 33 = 140. Then, Multiply the result 140 by 64: 140 * 64 = 8960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 203 + 360 - 171 = 392. Then, Multiply the result 392 by 5: 392 * 5 = 1960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 950 + 3441 - 89 = 4302. Then, Multiply the result 4302 by 2: 4302 * 2 = 8604.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1926 + 2320 - 164 = 4082. Then, Multiply the result 4082 by 2: 4082 * 2 = 8164.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1453 + 3688 - 167 = 4974. Then, Multiply the result 4974 by 2: 4974 * 2 = 9948.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1561 + 729 - 24 = 2266. Then, Multiply the result 2266 by 3: 2266 * 3 = 6798.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 339 + 306 - 149 = 496. Then, Multiply the result 496 by 6: 496 * 6 = 2976.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 490 + 694 - 141 = 1043. Then, Multiply the result 1043 by 6: 1043 * 6 = 6258.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 95 + 168 - 28 = 235. Then, Multiply the result 235 by 38: 235 * 38 = 8930.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4514 + 193 - 132 = 4575. Then, Multiply the result 4575 by 2: 4575 * 2 = 9150.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2535 + 521 - 129 = 2927. Then, Multiply the result 2927 by 2: 2927 * 2 = 5854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 880 + 3450 - 45 = 4285. Then, Multiply the result 4285 by 2: 4285 * 2 = 8570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1890 + 221 - 172 = 1939. Then, Multiply the result 1939 by 4: 1939 * 4 = 7756.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1105 + 3364 - 28 = 4441. Then, Multiply the result 4441 by 2: 4441 * 2 = 8882.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1192 + 188 - 107 = 1273. Then, Multiply the result 1273 by 4: 1273 * 4 = 5092.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1961 + 610 - 198 = 2373. Then, Multiply the result 2373 by 4: 2373 * 4 = 9492.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3808 + 420 - 50 = 4178. Then, Multiply the result 4178 by 2: 4178 * 2 = 8356.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 300 + 2892 - 197 = 2995. Then, Multiply the result 2995 by 2: 2995 * 2 = 5990.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3466 + 211 - 176 = 3501. Then, Multiply the result 3501 by 2: 3501 * 2 = 7002.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1692 + 391 - 109 = 1974. Then, Multiply the result 1974 by 4: 1974 * 4 = 7896.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 949 + 240 - 122 = 1067. Then, Multiply the result 1067 by 7: 1067 * 7 = 7469.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 443 + 2245 - 25 = 2663. Then, Multiply the result 2663 by 2: 2663 * 2 = 5326.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 401 + 185 - 179 = 407. Then, Multiply the result 407 by 15: 407 * 15 = 6105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3487 + 790 - 167 = 4110. Then, Multiply the result 4110 by 2: 4110 * 2 = 8220.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 286 + 4501 - 56 = 4731. Then, Multiply the result 4731 by 2: 4731 * 2 = 9462.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4469 + 325 - 26 = 4768. Then, Multiply the result 4768 by 2: 4768 * 2 = 9536.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1025 + 2202 - 94 = 3133. Then, Multiply the result 3133 by 3: 3133 * 3 = 9399.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 91 + 431 - 76 = 446. Then, Multiply the result 446 by 16: 446 * 16 = 7136.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1926 + 1662 - 157 = 3431. Then, Multiply the result 3431 by 2: 3431 * 2 = 6862.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 884 + 3614 - 169 = 4329. Then, Multiply the result 4329 by 2: 4329 * 2 = 8658.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2486 + 1766 - 128 = 4124. Then, Multiply the result 4124 by 2: 4124 * 2 = 8248.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3119 + 702 - 104 = 3717. Then, Multiply the result 3717 by 2: 3717 * 2 = 7434.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1653 + 804 - 76 = 2381. Then, Multiply the result 2381 by 4: 2381 * 4 = 9524.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 151 + 263 - 107 = 307. Then, Multiply the result 307 by 28: 307 * 28 = 8596.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1655 + 611 - 32 = 2234. Then, Multiply the result 2234 by 2: 2234 * 2 = 4468.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 237 + 2819 - 175 = 2881. Then, Multiply the result 2881 by 2: 2881 * 2 = 5762.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 164 + 739 - 47 = 856. Then, Multiply the result 856 by 11: 856 * 11 = 9416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1636 + 2517 - 190 = 3963. Then, Multiply the result 3963 by 2: 3963 * 2 = 7926.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3995 + 227 - 41 = 4181. Then, Multiply the result 4181 by 2: 4181 * 2 = 8362.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1280 + 2010 - 187 = 3103. Then, Multiply the result 3103 by 2: 3103 * 2 = 6206.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 622 + 2355 - 70 = 2907. Then, Multiply the result 2907 by 2: 2907 * 2 = 5814.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 638 + 960 - 158 = 1440. Then, Multiply the result 1440 by 5: 1440 * 5 = 7200.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 932 + 1820 - 77 = 2675. Then, Multiply the result 2675 by 2: 2675 * 2 = 5350.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1336 + 912 - 49 = 2199. Then, Multiply the result 2199 by 3: 2199 * 3 = 6597.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2164 + 1677 - 190 = 3651. Then, Multiply the result 3651 by 2: 3651 * 2 = 7302.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 366 + 4551 - 167 = 4750. Then, Multiply the result 4750 by 2: 4750 * 2 = 9500.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1048 + 1530 - 135 = 2443. Then, Multiply the result 2443 by 2: 2443 * 2 = 4886.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 228 + 101 - 48 = 281. Then, Multiply the result 281 by 17: 281 * 17 = 4777.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 438 + 174 - 120 = 492. Then, Multiply the result 492 by 4: 492 * 4 = 1968.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 883 + 455 - 46 = 1292. Then, Multiply the result 1292 by 5: 1292 * 5 = 6460.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 351 + 407 - 188 = 570. Then, Multiply the result 570 by 14: 570 * 14 = 7980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 688 + 780 - 178 = 1290. Then, Multiply the result 1290 by 2: 1290 * 2 = 2580.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 764 + 979 - 79 = 1664. Then, Multiply the result 1664 by 4: 1664 * 4 = 6656.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 262 + 1054 - 183 = 1133. Then, Multiply the result 1133 by 3: 1133 * 3 = 3399.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2142 + 267 - 37 = 2372. Then, Multiply the result 2372 by 3: 2372 * 3 = 7116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1204 + 161 - 49 = 1316. Then, Multiply the result 1316 by 6: 1316 * 6 = 7896.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1312 + 638 - 110 = 1840. Then, Multiply the result 1840 by 4: 1840 * 4 = 7360.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 754 + 4073 - 167 = 4660. Then, Multiply the result 4660 by 2: 4660 * 2 = 9320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1073 + 269 - 134 = 1208. Then, Multiply the result 1208 by 8: 1208 * 8 = 9664.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2281 + 1169 - 64 = 3386. Then, Multiply the result 3386 by 2: 3386 * 2 = 6772.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2762 + 1928 - 70 = 4620. Then, Multiply the result 4620 by 2: 4620 * 2 = 9240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 167 + 567 - 121 = 613. Then, Multiply the result 613 by 5: 613 * 5 = 3065.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 849 + 896 - 144 = 1601. Then, Multiply the result 1601 by 3: 1601 * 3 = 4803.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1138 + 1029 - 60 = 2107. Then, Multiply the result 2107 by 3: 2107 * 3 = 6321.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4086 + 444 - 113 = 4417. Then, Multiply the result 4417 by 2: 4417 * 2 = 8834.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 81 + 1680 - 42 = 1719. Then, Multiply the result 1719 by 4: 1719 * 4 = 6876.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 241 + 1524 - 158 = 1607. Then, Multiply the result 1607 by 2: 1607 * 2 = 3214.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 170 + 1152 - 49 = 1273. Then, Multiply the result 1273 by 2: 1273 * 2 = 2546.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2640 + 1838 - 80 = 4398. Then, Multiply the result 4398 by 2: 4398 * 2 = 8796.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 623 + 834 - 20 = 1437. Then, Multiply the result 1437 by 2: 1437 * 2 = 2874.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1800 + 438 - 166 = 2072. Then, Multiply the result 2072 by 4: 2072 * 4 = 8288.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 727 + 1755 - 125 = 2357. Then, Multiply the result 2357 by 3: 2357 * 3 = 7071.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 876 + 2411 - 163 = 3124. Then, Multiply the result 3124 by 3: 3124 * 3 = 9372.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2598 + 1232 - 177 = 3653. Then, Multiply the result 3653 by 2: 3653 * 2 = 7306.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 641 + 2048 - 81 = 2608. Then, Multiply the result 2608 by 3: 2608 * 3 = 7824.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2651 + 417 - 146 = 2922. Then, Multiply the result 2922 by 2: 2922 * 2 = 5844.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1290 + 3466 - 196 = 4560. Then, Multiply the result 4560 by 2: 4560 * 2 = 9120.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3601 + 1124 - 118 = 4607. Then, Multiply the result 4607 by 2: 4607 * 2 = 9214.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 436 + 2768 - 28 = 3176. Then, Multiply the result 3176 by 2: 3176 * 2 = 6352.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1407 + 581 - 166 = 1822. Then, Multiply the result 1822 by 2: 1822 * 2 = 3644.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1063 + 1735 - 105 = 2693. Then, Multiply the result 2693 by 2: 2693 * 2 = 5386.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4203 + 469 - 37 = 4635. Then, Multiply the result 4635 by 2: 4635 * 2 = 9270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 191 + 189 - 83 = 297. Then, Multiply the result 297 by 32: 297 * 32 = 9504.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1486 + 2335 - 93 = 3728. Then, Multiply the result 3728 by 2: 3728 * 2 = 7456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 104 + 657 - 21 = 740. Then, Multiply the result 740 by 10: 740 * 10 = 7400.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 854 + 1843 - 103 = 2594. Then, Multiply the result 2594 by 2: 2594 * 2 = 5188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2076 + 534 - 26 = 2584. Then, Multiply the result 2584 by 3: 2584 * 3 = 7752.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 894 + 1556 - 97 = 2353. Then, Multiply the result 2353 by 4: 2353 * 4 = 9412.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1092 + 1265 - 45 = 2312. Then, Multiply the result 2312 by 2: 2312 * 2 = 4624.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2091 + 1095 - 78 = 3108. Then, Multiply the result 3108 by 3: 3108 * 3 = 9324.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 368 + 333 - 28 = 673. Then, Multiply the result 673 by 8: 673 * 8 = 5384.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3114 + 660 - 39 = 3735. Then, Multiply the result 3735 by 2: 3735 * 2 = 7470.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 68 + 206 - 61 = 213. Then, Multiply the result 213 by 27: 213 * 27 = 5751.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 390 + 3680 - 100 = 3970. Then, Multiply the result 3970 by 2: 3970 * 2 = 7940.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1458 + 298 - 64 = 1692. Then, Multiply the result 1692 by 4: 1692 * 4 = 6768.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2223 + 1241 - 66 = 3398. Then, Multiply the result 3398 by 2: 3398 * 2 = 6796.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 539 + 2439 - 181 = 2797. Then, Multiply the result 2797 by 2: 2797 * 2 = 5594.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 793 + 1346 - 152 = 1987. Then, Multiply the result 1987 by 5: 1987 * 5 = 9935.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 366 + 842 - 24 = 1184. Then, Multiply the result 1184 by 7: 1184 * 7 = 8288.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1563 + 2316 - 74 = 3805. Then, Multiply the result 3805 by 2: 3805 * 2 = 7610.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1186 + 1506 - 20 = 2672. Then, Multiply the result 2672 by 2: 2672 * 2 = 5344.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1654 + 1644 - 118 = 3180. Then, Multiply the result 3180 by 2: 3180 * 2 = 6360.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 160 + 753 - 155 = 758. Then, Multiply the result 758 by 13: 758 * 13 = 9854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2219 + 2373 - 191 = 4401. Then, Multiply the result 4401 by 2: 4401 * 2 = 8802.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4630 + 543 - 193 = 4980. Then, Multiply the result 4980 by 2: 4980 * 2 = 9960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1309 + 1509 - 89 = 2729. Then, Multiply the result 2729 by 3: 2729 * 3 = 8187.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1422 + 3473 - 133 = 4762. Then, Multiply the result 4762 by 2: 4762 * 2 = 9524.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3688 + 970 - 157 = 4501. Then, Multiply the result 4501 by 2: 4501 * 2 = 9002.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4425 + 656 - 156 = 4925. Then, Multiply the result 4925 by 2: 4925 * 2 = 9850.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 804 + 2965 - 183 = 3586. Then, Multiply the result 3586 by 2: 3586 * 2 = 7172.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2766 + 1958 - 130 = 4594. Then, Multiply the result 4594 by 2: 4594 * 2 = 9188.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 459 + 774 - 87 = 1146. Then, Multiply the result 1146 by 5: 1146 * 5 = 5730.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 125 + 171 - 123 = 173. Then, Multiply the result 173 by 47: 173 * 47 = 8131.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3444 + 930 - 89 = 4285. Then, Multiply the result 4285 by 2: 4285 * 2 = 8570.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1192 + 97 - 93 = 1196. Then, Multiply the result 1196 by 5: 1196 * 5 = 5980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 848 + 1587 - 133 = 2302. Then, Multiply the result 2302 by 2: 2302 * 2 = 4604.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 331 + 525 - 158 = 698. Then, Multiply the result 698 by 9: 698 * 9 = 6282.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 97 + 122 - 72 = 147. Then, Multiply the result 147 by 22: 147 * 22 = 3234.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 352 + 1025 - 195 = 1182. Then, Multiply the result 1182 by 4: 1182 * 4 = 4728.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1237 + 1682 - 47 = 2872. Then, Multiply the result 2872 by 2: 2872 * 2 = 5744.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1791 + 100 - 88 = 1803. Then, Multiply the result 1803 by 5: 1803 * 5 = 9015.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1171 + 832 - 53 = 1950. Then, The greatest common factor of 1950 and 18200 is 650.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 666 + 2963 - 74 = 3555. Then, The greatest common factor of 3555 and 9954 is 711.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1695 + 1728 - 27 = 3396. Then, The greatest common factor of 3396 and 11037 is 849.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4588 + 3962 - 153 = 8397. Then, The greatest common factor of 8397 and 27990 is 2799.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3182 + 218 - 23 = 3377. Then, The greatest common factor of 3377 and 6140 is 307.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4303 + 98 - 40 = 4361. Then, The greatest common factor of 4361 and 22428 is 623.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3470 + 1250 - 51 = 4669. Then, The greatest common factor of 4669 and 5075 is 203.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 908 + 354 - 28 = 1234. Then, The greatest common factor of 1234 and 20361 is 617.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4250 + 186 - 118 = 4318. Then, The greatest common factor of 4318 and 4064 is 254.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2505 + 518 - 99 = 2924. Then, The greatest common factor of 2924 and 2193 is 731.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1817 + 171 - 147 = 1841. Then, The greatest common factor of 1841 and 2893 is 263.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1841 + 6579 - 153 = 8267. Then, The greatest common factor of 8267 and 42516 is 1181.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3660 + 3949 - 165 = 7444. Then, The greatest common factor of 7444 and 63274 is 3722.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 217 + 3753 - 80 = 3890. Then, The greatest common factor of 3890 and 71965 is 1945.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1259 + 3107 - 132 = 4234. Then, The greatest common factor of 4234 and 4526 is 146.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3140 + 3140 - 192 = 6088. Then, The greatest common factor of 6088 and 41094 is 1522.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 583 + 2897 - 162 = 3318. Then, The greatest common factor of 3318 and 16116 is 474.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1291 + 6172 - 38 = 7425. Then, The greatest common factor of 7425 and 3645 is 135.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 762 + 6091 - 198 = 6655. Then, The greatest common factor of 6655 and 21175 is 605.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4885 + 985 - 167 = 5703. Then, The greatest common factor of 5703 and 66535 is 1901.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5321 + 282 - 44 = 5559. Then, The greatest common factor of 5559 and 8829 is 327.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6082 + 1624 - 54 = 7652. Then, The greatest common factor of 7652 and 51651 is 1913.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 580 + 3547 - 35 = 4092. Then, The greatest common factor of 4092 and 3069 is 1023.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2005 + 5719 - 24 = 7700. Then, The greatest common factor of 7700 and 525 is 175.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1099 + 4569 - 150 = 5518. Then, The greatest common factor of 5518 and 4450 is 178.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 820 + 2744 - 165 = 3399. Then, The greatest common factor of 3399 and 3605 is 103.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1548 + 1623 - 76 = 3095. Then, The greatest common factor of 3095 and 16094 is 619.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2276 + 4208 - 29 = 6455. Then, The greatest common factor of 6455 and 42603 is 1291.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6175 + 2359 - 77 = 8457. Then, The greatest common factor of 8457 and 62018 is 2819.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3135 + 1735 - 90 = 4780. Then, The greatest common factor of 4780 and 44215 is 1195.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2000 + 3672 - 198 = 5474. Then, The greatest common factor of 5474 and 2975 is 119.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 197 + 9892 - 146 = 9943. Then, The greatest common factor of 9943 and 4238 is 163.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1178 + 4289 - 155 = 5312. Then, The greatest common factor of 5312 and 50464 is 2656.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 288 + 1856 - 119 = 2025. Then, The greatest common factor of 2025 and 13500 is 675.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4494 + 1226 - 195 = 5525. Then, The greatest common factor of 5525 and 34255 is 1105.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6639 + 1333 - 117 = 7855. Then, The greatest common factor of 7855 and 56556 is 1571.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3642 + 6279 - 91 = 9830. Then, The greatest common factor of 9830 and 93385 is 4915.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 716 + 3691 - 170 = 4237. Then, The greatest common factor of 4237 and 3568 is 223.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 497 + 772 - 186 = 1083. Then, The greatest common factor of 1083 and 14440 is 361.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 793 + 3096 - 151 = 3738. Then, The greatest common factor of 3738 and 4539 is 267.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 859 + 474 - 95 = 1238. Then, The greatest common factor of 1238 and 16713 is 619.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1722 + 3112 - 188 = 4646. Then, The greatest common factor of 4646 and 4242 is 202.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2062 + 5930 - 180 = 7812. Then, The greatest common factor of 7812 and 42408 is 1116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 533 + 289 - 106 = 716. Then, The greatest common factor of 716 and 895 is 179.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 8064 + 648 - 86 = 8626. Then, The greatest common factor of 8626 and 8399 is 227.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2326 + 5806 - 52 = 8080. Then, The greatest common factor of 8080 and 10605 is 505.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1602 + 1703 - 23 = 3282. Then, The greatest common factor of 3282 and 12581 is 547.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2608 + 4021 - 157 = 6472. Then, The greatest common factor of 6472 and 48540 is 3236.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 514 + 4987 - 158 = 5343. Then, The greatest common factor of 5343 and 3562 is 1781.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 688 + 431 - 161 = 958. Then, The greatest common factor of 958 and 17723 is 479.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2298 + 909 - 122 = 3085. Then, The greatest common factor of 3085 and 22829 is 617.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 558 + 952 - 26 = 1484. Then, The greatest common factor of 1484 and 27454 is 742.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1914 + 7137 - 76 = 8975. Then, The greatest common factor of 8975 and 9334 is 359.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1533 + 439 - 108 = 1864. Then, The greatest common factor of 1864 and 5359 is 233.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 148 + 623 - 39 = 732. Then, The greatest common factor of 732 and 4880 is 244.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1731 + 521 - 148 = 2104. Then, The greatest common factor of 2104 and 14202 is 526.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3668 + 4777 - 196 = 8249. Then, The greatest common factor of 8249 and 4407 is 113.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 415 + 1572 - 104 = 1883. Then, The greatest common factor of 1883 and 4842 is 269.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1362 + 3387 - 126 = 4623. Then, The greatest common factor of 4623 and 2814 is 201.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2754 + 1586 - 50 = 4290. Then, The greatest common factor of 4290 and 45760 is 1430.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 349 + 263 - 170 = 442. Then, The greatest common factor of 442 and 7735 is 221.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1734 + 1748 - 53 = 3429. Then, The greatest common factor of 3429 and 12192 is 381.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1942 + 214 - 31 = 2125. Then, The greatest common factor of 2125 and 1500 is 125.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4320 + 1627 - 26 = 5921. Then, The greatest common factor of 5921 and 764 is 191.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 960 + 5345 - 97 = 6208. Then, The greatest common factor of 6208 and 2522 is 194.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1435 + 5111 - 152 = 6394. Then, The greatest common factor of 6394 and 1529 is 139.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1738 + 444 - 35 = 2147. Then, The greatest common factor of 2147 and 3164 is 113.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2348 + 2466 - 158 = 4656. Then, The greatest common factor of 4656 and 3201 is 291.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2380 + 744 - 33 = 3091. Then, The greatest common factor of 3091 and 5620 is 281.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 414 + 876 - 112 = 1178. Then, The greatest common factor of 1178 and 7657 is 589.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 7170 + 281 - 50 = 7401. Then, The greatest common factor of 7401 and 39472 is 2467.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5223 + 767 - 20 = 5970. Then, The greatest common factor of 5970 and 74625 is 2985.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 225 + 148 - 99 = 274. Then, The greatest common factor of 274 and 3973 is 137.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 644 + 8006 - 169 = 8481. Then, The greatest common factor of 8481 and 10794 is 771.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4721 + 1502 - 36 = 6187. Then, The greatest common factor of 6187 and 2959 is 269.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 770 + 509 - 114 = 1165. Then, The greatest common factor of 1165 and 4194 is 233.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 8152 + 1345 - 103 = 9394. Then, The greatest common factor of 9394 and 79849 is 4697.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1336 + 6783 - 72 = 8047. Then, The greatest common factor of 8047 and 2476 is 619.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 982 + 8639 - 81 = 9540. Then, The greatest common factor of 9540 and 7685 is 265.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4114 + 2351 - 197 = 6268. Then, The greatest common factor of 6268 and 20371 is 1567.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1603 + 1032 - 190 = 2445. Then, The greatest common factor of 2445 and 16300 is 815.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 874 + 2626 - 32 = 3468. Then, The greatest common factor of 3468 and 2142 is 102.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2025 + 7229 - 200 = 9054. Then, The greatest common factor of 9054 and 15593 is 503.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5809 + 2971 - 200 = 8580. Then, The greatest common factor of 8580 and 53196 is 1716.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5508 + 2909 - 26 = 8391. Then, The greatest common factor of 8391 and 78316 is 2797.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6325 + 1068 - 66 = 7327. Then, The greatest common factor of 7327 and 5603 is 431.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3658 + 1856 - 70 = 5444. Then, The greatest common factor of 5444 and 51718 is 2722.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6369 + 698 - 60 = 7007. Then, The greatest common factor of 7007 and 22932 is 637.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5334 + 1980 - 40 = 7274. Then, The greatest common factor of 7274 and 120021 is 3637.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2357 + 956 - 87 = 3226. Then, The greatest common factor of 3226 and 50003 is 1613.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 780 + 7132 - 137 = 7775. Then, The greatest common factor of 7775 and 11507 is 311.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4878 + 3806 - 93 = 8591. Then, The greatest common factor of 8591 and 4840 is 121.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2065 + 2048 - 32 = 4081. Then, The greatest common factor of 4081 and 20988 is 583.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 709 + 1526 - 89 = 2146. Then, The greatest common factor of 2146 and 33263 is 1073.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3731 + 4516 - 187 = 8060. Then, The greatest common factor of 8060 and 6820 is 620.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 409 + 836 - 192 = 1053. Then, The greatest common factor of 1053 and 9126 is 351.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6932 + 309 - 40 = 7201. Then, The greatest common factor of 7201 and 10991 is 379.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2227 + 814 - 181 = 2860. Then, The greatest common factor of 2860 and 2080 is 260.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2922 + 2982 - 114 = 5790. Then, The greatest common factor of 5790 and 4246 is 386.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 694 + 125 - 108 = 711. Then, The greatest common factor of 711 and 948 is 237.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 679 + 2539 - 106 = 3112. Then, The greatest common factor of 3112 and 17116 is 1556.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4238 + 5636 - 167 = 9707. Then, The greatest common factor of 9707 and 9136 is 571.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5280 + 2720 - 83 = 7917. Then, The greatest common factor of 7917 and 1421 is 203.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 722 + 1977 - 159 = 2540. Then, The greatest common factor of 2540 and 3810 is 1270.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 535 + 2465 - 140 = 2860. Then, The greatest common factor of 2860 and 770 is 110.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1830 + 3207 - 129 = 4908. Then, The greatest common factor of 4908 and 12679 is 409.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 772 + 3171 - 87 = 3856. Then, The greatest common factor of 3856 and 1205 is 241.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5167 + 302 - 168 = 5301. Then, The greatest common factor of 5301 and 3627 is 279.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 356 + 3549 - 147 = 3758. Then, The greatest common factor of 3758 and 50733 is 1879.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3043 + 1768 - 122 = 4689. Then, The greatest common factor of 4689 and 48453 is 1563.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1194 + 2756 - 132 = 3818. Then, The greatest common factor of 3818 and 62997 is 1909.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3353 + 599 - 42 = 3910. Then, The greatest common factor of 3910 and 72335 is 1955.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3014 + 134 - 118 = 3030. Then, The greatest common factor of 3030 and 1717 is 101.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 7458 + 1684 - 103 = 9039. Then, The greatest common factor of 9039 and 15065 is 3013.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2713 + 5753 - 109 = 8357. Then, The greatest common factor of 8357 and 3288 is 137.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1971 + 419 - 186 = 2204. Then, The greatest common factor of 2204 and 4959 is 551.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6623 + 1399 - 79 = 7943. Then, The greatest common factor of 7943 and 507 is 169.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4192 + 299 - 27 = 4464. Then, The greatest common factor of 4464 and 17360 is 496.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4693 + 2791 - 131 = 7353. Then, The greatest common factor of 7353 and 6966 is 387.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6024 + 1972 - 138 = 7858. Then, The greatest common factor of 7858 and 58935 is 3929.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1487 + 4624 - 166 = 5945. Then, The greatest common factor of 5945 and 38048 is 1189.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5798 + 4044 - 80 = 9762. Then, The greatest common factor of 9762 and 130160 is 3254.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 9015 + 325 - 188 = 9152. Then, The greatest common factor of 9152 and 14144 is 832.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 82 + 966 - 53 = 995. Then, The greatest common factor of 995 and 5771 is 199.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3620 + 2832 - 50 = 6402. Then, The greatest common factor of 6402 and 7469 is 1067.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 8196 + 1266 - 67 = 9395. Then, The greatest common factor of 9395 and 13153 is 1879.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1495 + 6693 - 192 = 7996. Then, The greatest common factor of 7996 and 5997 is 1999.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 886 + 2564 - 129 = 3321. Then, The greatest common factor of 3321 and 25461 is 1107.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6178 + 2764 - 78 = 8864. Then, The greatest common factor of 8864 and 39888 is 4432.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3213 + 565 - 149 = 3629. Then, The greatest common factor of 3629 and 2674 is 191.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4615 + 2687 - 137 = 7165. Then, The greatest common factor of 7165 and 4299 is 1433.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1076 + 1055 - 66 = 2065. Then, The greatest common factor of 2065 and 2950 is 295.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1398 + 4379 - 96 = 5681. Then, The greatest common factor of 5681 and 11799 is 437.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 267 + 925 - 25 = 1167. Then, The greatest common factor of 1167 and 15560 is 389.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2492 + 1097 - 81 = 3508. Then, The greatest common factor of 3508 and 7893 is 877.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4370 + 1111 - 26 = 5455. Then, The greatest common factor of 5455 and 31639 is 1091.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1284 + 6145 - 116 = 7313. Then, The greatest common factor of 7313 and 3399 is 103.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4098 + 2159 - 175 = 6082. Then, The greatest common factor of 6082 and 9123 is 3041.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1813 + 4473 - 76 = 6210. Then, The greatest common factor of 6210 and 4995 is 135.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2017 + 2517 - 138 = 4396. Then, The greatest common factor of 4396 and 50554 is 2198.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5098 + 515 - 191 = 5422. Then, The greatest common factor of 5422 and 105729 is 2711.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1278 + 4707 - 50 = 5935. Then, The greatest common factor of 5935 and 43919 is 1187.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1828 + 3276 - 199 = 4905. Then, The greatest common factor of 4905 and 10355 is 545.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1334 + 7528 - 64 = 8798. Then, The greatest common factor of 8798 and 83581 is 4399.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1255 + 1495 - 33 = 2717. Then, The greatest common factor of 2717 and 3289 is 143.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5267 + 1623 - 138 = 6752. Then, The greatest common factor of 6752 and 29540 is 844.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2242 + 3678 - 104 = 5816. Then, The greatest common factor of 5816 and 26899 is 727.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 436 + 483 - 189 = 730. Then, The greatest common factor of 730 and 4015 is 365.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 7103 + 331 - 172 = 7262. Then, The greatest common factor of 7262 and 54465 is 3631.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1179 + 1079 - 20 = 2238. Then, The greatest common factor of 2238 and 3357 is 1119.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2145 + 4752 - 30 = 6867. Then, The greatest common factor of 6867 and 4578 is 2289.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6417 + 2990 - 102 = 9305. Then, The greatest common factor of 9305 and 40942 is 1861.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 380 + 314 - 193 = 501. Then, The greatest common factor of 501 and 6680 is 167.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 8535 + 453 - 172 = 8816. Then, The greatest common factor of 8816 and 4524 is 116.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2770 + 5476 - 172 = 8074. Then, The greatest common factor of 8074 and 100925 is 4037.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1465 + 1469 - 128 = 2806. Then, The greatest common factor of 2806 and 26657 is 1403.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3427 + 1346 - 103 = 4670. Then, The greatest common factor of 4670 and 4203 is 467.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2343 + 856 - 71 = 3128. Then, The greatest common factor of 3128 and 6072 is 184.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5126 + 1268 - 74 = 6320. Then, The greatest common factor of 6320 and 6715 is 395.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 144 + 4429 - 38 = 4535. Then, The greatest common factor of 4535 and 29931 is 907.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1993 + 166 - 56 = 2103. Then, The greatest common factor of 2103 and 21731 is 701.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5442 + 3994 - 157 = 9279. Then, The greatest common factor of 9279 and 10310 is 1031.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1081 + 1665 - 170 = 2576. Then, The greatest common factor of 2576 and 10948 is 644.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 147 + 164 - 87 = 224. Then, The greatest common factor of 224 and 3472 is 112.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1888 + 4278 - 188 = 5978. Then, The greatest common factor of 5978 and 10248 is 854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1400 + 6356 - 86 = 7670. Then, The greatest common factor of 7670 and 2832 is 118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 8270 + 1541 - 169 = 9642. Then, The greatest common factor of 9642 and 56245 is 1607.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4778 + 981 - 143 = 5616. Then, The greatest common factor of 5616 and 13572 is 468.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 9419 + 363 - 87 = 9695. Then, The greatest common factor of 9695 and 21329 is 1939.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1038 + 2497 - 166 = 3369. Then, The greatest common factor of 3369 and 21337 is 1123.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6399 + 2525 - 50 = 8874. Then, The greatest common factor of 8874 and 6409 is 493.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 7294 + 2523 - 112 = 9705. Then, The greatest common factor of 9705 and 14881 is 647.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5701 + 3714 - 41 = 9374. Then, The greatest common factor of 9374 and 1853 is 109.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 573 + 373 - 110 = 836. Then, The greatest common factor of 836 and 2717 is 209.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 874 + 8292 - 141 = 9025. Then, The greatest common factor of 9025 and 11875 is 475.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 741 + 8854 - 106 = 9489. Then, The greatest common factor of 9489 and 79075 is 3163.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6285 + 1128 - 102 = 7311. Then, The greatest common factor of 7311 and 70673 is 2437.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 561 + 569 - 165 = 965. Then, The greatest common factor of 965 and 2509 is 193.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3006 + 2774 - 32 = 5748. Then, The greatest common factor of 5748 and 31614 is 2874.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1098 + 988 - 176 = 1910. Then, The greatest common factor of 1910 and 2292 is 382.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 256 + 1311 - 189 = 1378. Then, The greatest common factor of 1378 and 10335 is 689.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 859 + 1287 - 145 = 2001. Then, The greatest common factor of 2001 and 10672 is 667.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2748 + 5556 - 163 = 8141. Then, The greatest common factor of 8141 and 10467 is 1163.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6571 + 1718 - 159 = 8130. Then, The greatest common factor of 8130 and 2981 is 271.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1230 + 3436 - 138 = 4528. Then, The greatest common factor of 4528 and 9905 is 283.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6293 + 446 - 133 = 6606. Then, The greatest common factor of 6606 and 5872 is 734.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4586 + 97 - 85 = 4598. Then, The greatest common factor of 4598 and 2541 is 121.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 652 + 119 - 111 = 660. Then, The greatest common factor of 660 and 3696 is 132.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 2496 + 3942 - 190 = 6248. Then, The greatest common factor of 6248 and 22152 is 568.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 3333 + 5082 - 188 = 8227. Then, The greatest common factor of 8227 and 7794 is 433.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 230 + 1177 - 73 = 1334. Then, The greatest common factor of 1334 and 14007 is 667.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 5144 + 2927 - 142 = 7929. Then, The greatest common factor of 7929 and 35240 is 881.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 636 + 1257 - 190 = 1703. Then, The greatest common factor of 1703 and 3799 is 131.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4552 + 1720 - 154 = 6118. Then, The greatest common factor of 6118 and 2622 is 874.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 753 + 1122 - 31 = 1844. Then, The greatest common factor of 1844 and 1383 is 461.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 4283 + 2412 - 43 = 6652. Then, The greatest common factor of 6652 and 54879 is 1663.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1972 + 3302 - 183 = 5091. Then, The greatest common factor of 5091 and 27152 is 1697.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1082 + 52 - 36 = 1098. Then, The greatest common factor of 1098 and 3477 is 183.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 1538 + 2416 - 160 = 3794. Then, The greatest common factor of 3794 and 62601 is 1897.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 6311 + 685 - 197 = 6799. Then, The greatest common factor of 6799 and 19874 is 523.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 84 + 108 - 80 = 112. Then, The least common multiple of 112 and 52 is 1456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 198 + 241 - 195 = 244. Then, The least common multiple of 244 and 19 is 4636.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 172 + 200 - 157 = 215. Then, The least common multiple of 215 and 19 is 4085.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 198 + 80 - 28 = 250. Then, The least common multiple of 250 and 9 is 2250.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 217 + 101 - 79 = 239. Then, The least common multiple of 239 and 28 is 6692.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 164 + 586 - 43 = 707. Then, The least common multiple of 707 and 4 is 2828.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 473 + 538 - 123 = 888. Then, The least common multiple of 888 and 27 is 7992.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 205 + 209 - 104 = 310. Then, The least common multiple of 310 and 48 is 7440.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 299 + 495 - 83 = 711. Then, The least common multiple of 711 and 72 is 5688.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 141 + 53 - 33 = 161. Then, The least common multiple of 161 and 25 is 4025.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 159 + 359 - 54 = 464. Then, The least common multiple of 464 and 20 is 2320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 148 + 924 - 116 = 956. Then, The least common multiple of 956 and 28 is 6692.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 878 + 167 - 130 = 915. Then, The least common multiple of 915 and 30 is 1830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 300 + 323 - 30 = 593. Then, The least common multiple of 593 and 14 is 8302.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 279 + 727 - 98 = 908. Then, The least common multiple of 908 and 24 is 5448.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 219 + 105 - 27 = 297. Then, The least common multiple of 297 and 14 is 4158.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 414 + 493 - 122 = 785. Then, The least common multiple of 785 and 60 is 9420.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 219 + 193 - 105 = 307. Then, The least common multiple of 307 and 8 is 2456.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 325 + 400 - 50 = 675. Then, The least common multiple of 675 and 14 is 9450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 306 + 871 - 183 = 994. Then, The least common multiple of 994 and 21 is 2982.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 545 + 76 - 34 = 587. Then, The least common multiple of 587 and 6 is 3522.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 546 + 477 - 48 = 975. Then, The least common multiple of 975 and 90 is 5850.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 287 + 348 - 26 = 609. Then, The least common multiple of 609 and 14 is 1218.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 314 + 339 - 169 = 484. Then, The least common multiple of 484 and 24 is 2904.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 52 + 130 - 36 = 146. Then, The least common multiple of 146 and 74 is 5402.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 229 + 933 - 177 = 985. Then, The least common multiple of 985 and 40 is 7880.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 635 + 237 - 67 = 805. Then, The least common multiple of 805 and 60 is 9660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 460 + 408 - 197 = 671. Then, The least common multiple of 671 and 66 is 4026.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 347 + 242 - 78 = 511. Then, The least common multiple of 511 and 19 is 9709.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 319 + 212 - 51 = 480. Then, The least common multiple of 480 and 26 is 6240.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 294 + 301 - 196 = 399. Then, The least common multiple of 399 and 76 is 1596.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 106 + 847 - 62 = 891. Then, The least common multiple of 891 and 77 is 6237.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 108 + 328 - 88 = 348. Then, The least common multiple of 348 and 80 is 6960.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 356 + 681 - 90 = 947. Then, The least common multiple of 947 and 6 is 5682.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 527 + 543 - 133 = 937. Then, The least common multiple of 937 and 10 is 9370.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 302 + 232 - 179 = 355. Then, The least common multiple of 355 and 65 is 4615.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 329 + 419 - 186 = 562. Then, The least common multiple of 562 and 6 is 1686.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 148 + 164 - 143 = 169. Then, The least common multiple of 169 and 40 is 6760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 147 + 921 - 141 = 927. Then, The least common multiple of 927 and 2 is 1854.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 257 + 243 - 117 = 383. Then, The least common multiple of 383 and 20 is 7660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 735 + 412 - 181 = 966. Then, The least common multiple of 966 and 92 is 1932.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 217 + 100 - 25 = 292. Then, The least common multiple of 292 and 88 is 6424.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 285 + 447 - 152 = 580. Then, The least common multiple of 580 and 52 is 7540.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 642 + 225 - 74 = 793. Then, The least common multiple of 793 and 8 is 6344.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 415 + 694 - 166 = 943. Then, The least common multiple of 943 and 92 is 3772.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 243 + 134 - 32 = 345. Then, The least common multiple of 345 and 36 is 4140.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 164 + 206 - 160 = 210. Then, The least common multiple of 210 and 43 is 9030.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 340 + 159 - 145 = 354. Then, The least common multiple of 354 and 56 is 9912.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 112 + 164 - 32 = 244. Then, The least common multiple of 244 and 42 is 5124.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 450 + 498 - 31 = 917. Then, The least common multiple of 917 and 70 is 9170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 692 + 422 - 132 = 982. Then, The least common multiple of 982 and 20 is 9820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 152 + 51 - 25 = 178. Then, The least common multiple of 178 and 62 is 5518.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 335 + 304 - 89 = 550. Then, The least common multiple of 550 and 99 is 4950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 542 + 237 - 190 = 589. Then, The least common multiple of 589 and 2 is 1178.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 534 + 447 - 186 = 795. Then, The least common multiple of 795 and 9 is 2385.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 450 + 352 - 120 = 682. Then, The least common multiple of 682 and 55 is 3410.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 263 + 95 - 34 = 324. Then, The least common multiple of 324 and 19 is 6156.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 479 + 609 - 152 = 936. Then, The least common multiple of 936 and 56 is 6552.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 228 + 279 - 162 = 345. Then, The least common multiple of 345 and 13 is 4485.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 175 + 423 - 34 = 564. Then, The least common multiple of 564 and 27 is 5076.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 210 + 203 - 185 = 228. Then, The least common multiple of 228 and 31 is 7068.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 282 + 206 - 107 = 381. Then, The least common multiple of 381 and 42 is 5334.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 702 + 341 - 89 = 954. Then, The least common multiple of 954 and 45 is 4770.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 151 + 86 - 67 = 170. Then, The least common multiple of 170 and 30 is 510.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 123 + 306 - 63 = 366. Then, The least common multiple of 366 and 15 is 1830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 372 + 552 - 99 = 825. Then, The least common multiple of 825 and 27 is 7425.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 154 + 176 - 150 = 180. Then, The least common multiple of 180 and 44 is 1980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 656 + 421 - 158 = 919. Then, The least common multiple of 919 and 9 is 8271.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 256 + 278 - 173 = 361. Then, The least common multiple of 361 and 9 is 3249.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 227 + 768 - 103 = 892. Then, The least common multiple of 892 and 24 is 5352.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 334 + 91 - 55 = 370. Then, The least common multiple of 370 and 40 is 1480.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 728 + 296 - 119 = 905. Then, The least common multiple of 905 and 35 is 6335.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 701 + 204 - 39 = 866. Then, The least common multiple of 866 and 20 is 8660.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 526 + 215 - 156 = 585. Then, The least common multiple of 585 and 20 is 2340.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 229 + 443 - 136 = 536. Then, The least common multiple of 536 and 24 is 1608.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 220 + 502 - 151 = 571. Then, The least common multiple of 571 and 3 is 1713.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 455 + 271 - 115 = 611. Then, The least common multiple of 611 and 26 is 1222.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 549 + 342 - 54 = 837. Then, The least common multiple of 837 and 11 is 9207.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 797 + 256 - 182 = 871. Then, The least common multiple of 871 and 39 is 2613.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 130 + 866 - 63 = 933. Then, The least common multiple of 933 and 4 is 3732.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 902 + 61 - 33 = 930. Then, The least common multiple of 930 and 25 is 4650.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 228 + 153 - 38 = 343. Then, The least common multiple of 343 and 8 is 2744.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 173 + 353 - 122 = 404. Then, The least common multiple of 404 and 10 is 2020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 144 + 177 - 123 = 198. Then, The least common multiple of 198 and 39 is 2574.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 191 + 260 - 186 = 265. Then, The least common multiple of 265 and 11 is 2915.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 461 + 250 - 56 = 655. Then, The least common multiple of 655 and 14 is 9170.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 210 + 305 - 82 = 433. Then, The least common multiple of 433 and 23 is 9959.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 347 + 45 - 23 = 369. Then, The least common multiple of 369 and 4 is 1476.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 235 + 213 - 196 = 252. Then, The least common multiple of 252 and 87 is 7308.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 176 + 122 - 91 = 207. Then, The least common multiple of 207 and 26 is 5382.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 430 + 249 - 77 = 602. Then, The least common multiple of 602 and 22 is 6622.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 318 + 216 - 139 = 395. Then, The least common multiple of 395 and 45 is 3555.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 570 + 448 - 185 = 833. Then, The least common multiple of 833 and 4 is 3332.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 329 + 401 - 156 = 574. Then, The least common multiple of 574 and 77 is 6314.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 572 + 516 - 140 = 948. Then, The least common multiple of 948 and 72 is 5688.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 176 + 622 - 161 = 637. Then, The least common multiple of 637 and 2 is 1274.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 325 + 168 - 148 = 345. Then, The least common multiple of 345 and 8 is 2760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 478 + 117 - 92 = 503. Then, The least common multiple of 503 and 13 is 6539.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 164 + 481 - 82 = 563. Then, The least common multiple of 563 and 6 is 3378.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 143 + 313 - 90 = 366. Then, The least common multiple of 366 and 5 is 1830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 144 + 483 - 122 = 505. Then, The least common multiple of 505 and 14 is 7070.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 538 + 67 - 49 = 556. Then, The least common multiple of 556 and 40 is 5560.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 137 + 845 - 63 = 919. Then, The least common multiple of 919 and 10 is 9190.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 138 + 106 - 75 = 169. Then, The least common multiple of 169 and 7 is 1183.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 273 + 298 - 160 = 411. Then, The least common multiple of 411 and 15 is 2055.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 811 + 48 - 33 = 826. Then, The least common multiple of 826 and 9 is 7434.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 97 + 72 - 24 = 145. Then, The least common multiple of 145 and 27 is 3915.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 116 + 226 - 85 = 257. Then, The least common multiple of 257 and 12 is 3084.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 56 + 169 - 36 = 189. Then, The least common multiple of 189 and 19 is 3591.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 264 + 282 - 116 = 430. Then, The least common multiple of 430 and 17 is 7310.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 748 + 307 - 114 = 941. Then, The least common multiple of 941 and 8 is 7528.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 961 + 90 - 62 = 989. Then, The least common multiple of 989 and 5 is 4945.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 748 + 221 - 34 = 935. Then, The least common multiple of 935 and 68 is 3740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 236 + 298 - 179 = 355. Then, The least common multiple of 355 and 20 is 1420.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 141 + 152 - 136 = 157. Then, The least common multiple of 157 and 16 is 2512.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 559 + 405 - 157 = 807. Then, The least common multiple of 807 and 12 is 3228.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 578 + 378 - 84 = 872. Then, The least common multiple of 872 and 72 is 7848.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 639 + 200 - 121 = 718. Then, The least common multiple of 718 and 14 is 5026.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 189 + 467 - 163 = 493. Then, The least common multiple of 493 and 2 is 986.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 113 + 224 - 83 = 254. Then, The least common multiple of 254 and 19 is 4826.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 766 + 167 - 71 = 862. Then, The least common multiple of 862 and 4 is 1724.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 772 + 254 - 86 = 940. Then, The least common multiple of 940 and 50 is 4700.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 336 + 212 - 153 = 395. Then, The least common multiple of 395 and 13 is 5135.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 614 + 378 - 180 = 812. Then, The least common multiple of 812 and 42 is 2436.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 858 + 325 - 200 = 983. Then, The least common multiple of 983 and 10 is 9830.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 240 + 943 - 200 = 983. Then, The least common multiple of 983 and 3 is 2949.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 391 + 526 - 174 = 743. Then, The least common multiple of 743 and 11 is 8173.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 344 + 474 - 186 = 632. Then, The least common multiple of 632 and 3 is 1896.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 153 + 806 - 120 = 839. Then, The least common multiple of 839 and 2 is 1678.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 182 + 176 - 172 = 186. Then, The least common multiple of 186 and 41 is 7626.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 233 + 214 - 124 = 323. Then, The least common multiple of 323 and 57 is 969.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 285 + 543 - 102 = 726. Then, The least common multiple of 726 and 15 is 3630.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 266 + 488 - 33 = 721. Then, The least common multiple of 721 and 12 is 8652.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 141 + 274 - 118 = 297. Then, The least common multiple of 297 and 57 is 5643.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 650 + 186 - 152 = 684. Then, The least common multiple of 684 and 14 is 4788.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 308 + 536 - 185 = 659. Then, The least common multiple of 659 and 9 is 5931.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 351 + 363 - 91 = 623. Then, The least common multiple of 623 and 4 is 2492.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 695 + 257 - 103 = 849. Then, The least common multiple of 849 and 21 is 5943.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 548 + 385 - 176 = 757. Then, The least common multiple of 757 and 4 is 3028.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 617 + 325 - 182 = 760. Then, The least common multiple of 760 and 72 is 6840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 467 + 495 - 173 = 789. Then, The least common multiple of 789 and 27 is 7101.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 513 + 101 - 39 = 575. Then, The least common multiple of 575 and 6 is 3450.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 661 + 285 - 138 = 808. Then, The least common multiple of 808 and 18 is 7272.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 123 + 334 - 26 = 431. Then, The least common multiple of 431 and 2 is 862.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 131 + 84 - 67 = 148. Then, The least common multiple of 148 and 5 is 740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 508 + 597 - 199 = 906. Then, The least common multiple of 906 and 48 is 7248.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 201 + 81 - 79 = 203. Then, The least common multiple of 203 and 33 is 6699.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 99 + 92 - 68 = 123. Then, The least common multiple of 123 and 99 is 4059.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 754 + 202 - 82 = 874. Then, The least common multiple of 874 and 20 is 8740.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 312 + 242 - 146 = 408. Then, The least common multiple of 408 and 19 is 7752.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 411 + 205 - 156 = 460. Then, The least common multiple of 460 and 26 is 5980.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 292 + 167 - 108 = 351. Then, The least common multiple of 351 and 99 is 3861.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 756 + 374 - 173 = 957. Then, The least common multiple of 957 and 66 is 1914.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 446 + 719 - 187 = 978. Then, The least common multiple of 978 and 8 is 3912.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 206 + 264 - 89 = 381. Then, The least common multiple of 381 and 10 is 3810.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 278 + 504 - 67 = 715. Then, The least common multiple of 715 and 8 is 5720.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 147 + 447 - 34 = 560. Then, The least common multiple of 560 and 3 is 1680.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 159 + 437 - 131 = 465. Then, The least common multiple of 465 and 51 is 7905.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 307 + 243 - 65 = 485. Then, The least common multiple of 485 and 60 is 5820.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 390 + 431 - 86 = 735. Then, The least common multiple of 735 and 77 is 8085.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 183 + 529 - 111 = 601. Then, The least common multiple of 601 and 3 is 1803.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 354 + 305 - 161 = 498. Then, The least common multiple of 498 and 36 is 2988.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 472 + 354 - 182 = 644. Then, The least common multiple of 644 and 13 is 8372.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 226 + 432 - 200 = 458. Then, The least common multiple of 458 and 11 is 5038.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 335 + 302 - 179 = 458. Then, The least common multiple of 458 and 18 is 4122.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 214 + 245 - 109 = 350. Then, The least common multiple of 350 and 3 is 1050.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 797 + 205 - 200 = 802. Then, The least common multiple of 802 and 8 is 3208.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 594 + 523 - 190 = 927. Then, The least common multiple of 927 and 8 is 7416.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 481 + 326 - 153 = 654. Then, The least common multiple of 654 and 66 is 7194.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 124 + 246 - 66 = 304. Then, The least common multiple of 304 and 25 is 7600.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 322 + 312 - 82 = 552. Then, The least common multiple of 552 and 30 is 2760.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 125 + 859 - 79 = 905. Then, The least common multiple of 905 and 25 is 4525.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 679 + 248 - 44 = 883. Then, The least common multiple of 883 and 4 is 3532.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 444 + 271 - 89 = 626. Then, The least common multiple of 626 and 28 is 8764.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 154 + 128 - 119 = 163. Then, The least common multiple of 163 and 5 is 815.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 575 + 191 - 134 = 632. Then, The least common multiple of 632 and 80 is 6320.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 534 + 479 - 146 = 867. Then, The least common multiple of 867 and 18 is 5202.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 246 + 332 - 156 = 422. Then, The least common multiple of 422 and 8 is 1688.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 170 + 459 - 132 = 497. Then, The least common multiple of 497 and 20 is 9940.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 270 + 159 - 118 = 311. Then, The least common multiple of 311 and 12 is 3732.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 443 + 605 - 200 = 848. Then, The least common multiple of 848 and 14 is 5936.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 383 + 132 - 22 = 493. Then, The least common multiple of 493 and 11 is 5423.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 402 + 291 - 43 = 650. Then, The least common multiple of 650 and 78 is 1950.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 211 + 596 - 196 = 611. Then, The least common multiple of 611 and 6 is 3666.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 81 + 82 - 22 = 141. Then, The least common multiple of 141 and 72 is 3384.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 238 + 327 - 109 = 456. Then, The least common multiple of 456 and 54 is 4104.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 170 + 171 - 160 = 181. Then, The least common multiple of 181 and 2 is 362.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 275 + 213 - 199 = 289. Then, The least common multiple of 289 and 5 is 1445.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 134 + 134 - 107 = 161. Then, The least common multiple of 161 and 38 is 6118.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 223 + 314 - 54 = 483. Then, The least common multiple of 483 and 36 is 5796.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 448 + 257 - 21 = 684. Then, The least common multiple of 684 and 40 is 6840.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 381 + 294 - 135 = 540. Then, The least common multiple of 540 and 85 is 9180.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 406 + 130 - 48 = 488. Then, The least common multiple of 488 and 32 is 1952.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 323 + 201 - 175 = 349. Then, The least common multiple of 349 and 17 is 5933.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 215 + 282 - 161 = 336. Then, The least common multiple of 336 and 51 is 5712.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 384 + 112 - 43 = 453. Then, The least common multiple of 453 and 60 is 9060.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 80 + 92 - 38 = 134. Then, The least common multiple of 134 and 60 is 4020.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 315 + 434 - 177 = 572. Then, The least common multiple of 572 and 48 is 6864.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 155 + 227 - 128 = 254. Then, The least common multiple of 254 and 21 is 5334.\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 = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"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.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "|A ∪ B| = |A| + |B| - |A∩B| = 88 + 84 - 52 = 120. Then, The least common multiple of 120 and 58 is 3480.\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}