eval_data/probe_pool.jsonl

{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 52, then apply gcf to the result and 29601.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 99 by 52: 99 * 52 = 5148. Then, The greatest common factor of 5148 and 29601 is 1287.\nresult = \"1287\"", "target": "1287", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (99, 52), 'gcf', 29601)", "intermediate": "5148", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5148", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "99", "start": 18, "end": 20}, {"value": "52", "start": 25, "end": 27}, {"value": "29601", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 110, then apply gcf to the result and 3915.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 54 by 110: 54 * 110 = 5940. Then, The greatest common factor of 5940 and 3915 is 135.\nresult = \"135\"", "target": "135", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (54, 110), 'gcf', 3915)", "intermediate": "5940", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5940", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "54", "start": 18, "end": 20}, {"value": "110", "start": 25, "end": 28}, {"value": "3915", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 127 and 74, then apply gcf to the result and 108077.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 127 by 74: 127 * 74 = 9398. Then, The greatest common factor of 9398 and 108077 is 4699.\nresult = \"4699\"", "target": "4699", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (127, 74), 'gcf', 108077)", "intermediate": "9398", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "9398", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "127", "start": 18, "end": 21}, {"value": "74", "start": 26, "end": 28}, {"value": "108077", "start": 63, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 99, then apply gcf to the result and 27269.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 67 by 99: 67 * 99 = 6633. Then, The greatest common factor of 6633 and 27269 is 737.\nresult = \"737\"", "target": "737", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (67, 99), 'gcf', 27269)", "intermediate": "6633", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "6633", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "67", "start": 18, "end": 20}, {"value": "99", "start": 25, "end": 27}, {"value": "27269", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 64, then apply gcf to the result and 1144.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 130 by 64: 130 * 64 = 8320. Then, The greatest common factor of 8320 and 1144 is 104.\nresult = \"104\"", "target": "104", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (130, 64), 'gcf', 1144)", "intermediate": "8320", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "8320", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "130", "start": 18, "end": 21}, {"value": "64", "start": 26, "end": 28}, {"value": "1144", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 86, then apply gcf to the result and 1180.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 59 by 86: 59 * 86 = 5074. Then, The greatest common factor of 5074 and 1180 is 118.\nresult = \"118\"", "target": "118", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (59, 86), 'gcf', 1180)", "intermediate": "5074", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5074", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "59", "start": 18, "end": 20}, {"value": "86", "start": 25, "end": 27}, {"value": "1180", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 108, then apply gcf to the result and 4212.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 108: 69 * 108 = 7452. Then, The greatest common factor of 7452 and 4212 is 324.\nresult = \"324\"", "target": "324", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (69, 108), 'gcf', 4212)", "intermediate": "7452", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "7452", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "69", "start": 18, "end": 20}, {"value": "108", "start": 25, "end": 28}, {"value": "4212", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 108 and 73, then apply gcf to the result and 8103.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 108 by 73: 108 * 73 = 7884. Then, The greatest common factor of 7884 and 8103 is 219.\nresult = \"219\"", "target": "219", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (108, 73), 'gcf', 8103)", "intermediate": "7884", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "7884", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "108", "start": 18, "end": 21}, {"value": "73", "start": 26, "end": 28}, {"value": "8103", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 151 and 51, then apply gcf to the result and 5134.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 151 by 51: 151 * 51 = 7701. Then, The greatest common factor of 7701 and 5134 is 2567.\nresult = \"2567\"", "target": "2567", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (151, 51), 'gcf', 5134)", "intermediate": "7701", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "7701", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "151", "start": 18, "end": 21}, {"value": "51", "start": 26, "end": 28}, {"value": "5134", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 123, then apply gcf to the result and 4386.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 43 by 123: 43 * 123 = 5289. Then, The greatest common factor of 5289 and 4386 is 129.\nresult = \"129\"", "target": "129", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (43, 123), 'gcf', 4386)", "intermediate": "5289", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5289", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "43", "start": 18, "end": 20}, {"value": "123", "start": 25, "end": 28}, {"value": "4386", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 23, then apply gcf to the result and 1771.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 49 by 23: 49 * 23 = 1127. Then, The greatest common factor of 1127 and 1771 is 161.\nresult = \"161\"", "target": "161", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (49, 23), 'gcf', 1771)", "intermediate": "1127", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1127", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "49", "start": 18, "end": 20}, {"value": "23", "start": 25, "end": 27}, {"value": "1771", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 147, then apply gcf to the result and 420.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 35 by 147: 35 * 147 = 5145. Then, The greatest common factor of 5145 and 420 is 105.\nresult = \"105\"", "target": "105", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (35, 147), 'gcf', 420)", "intermediate": "5145", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5145", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "35", "start": 18, "end": 20}, {"value": "147", "start": 25, "end": 28}, {"value": "420", "start": 63, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 40, then apply gcf to the result and 4550.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 39 by 40: 39 * 40 = 1560. Then, The greatest common factor of 1560 and 4550 is 130.\nresult = \"130\"", "target": "130", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (39, 40), 'gcf', 4550)", "intermediate": "1560", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1560", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "39", "start": 18, "end": 20}, {"value": "40", "start": 25, "end": 27}, {"value": "4550", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 129 and 40, then apply gcf to the result and 43860.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 129 by 40: 129 * 40 = 5160. Then, The greatest common factor of 5160 and 43860 is 2580.\nresult = \"2580\"", "target": "2580", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (129, 40), 'gcf', 43860)", "intermediate": "5160", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "5160", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "129", "start": 18, "end": 21}, {"value": "40", "start": 26, "end": 28}, {"value": "43860", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 114, then apply gcf to the result and 87172.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 62 by 114: 62 * 114 = 7068. Then, The greatest common factor of 7068 and 87172 is 2356.\nresult = \"2356\"", "target": "2356", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (62, 114), 'gcf', 87172)", "intermediate": "7068", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "7068", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "62", "start": 18, "end": 20}, {"value": "114", "start": 25, "end": 28}, {"value": "87172", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 189, then apply gcf to the result and 2898.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 48 by 189: 48 * 189 = 9072. Then, The greatest common factor of 9072 and 2898 is 126.\nresult = \"126\"", "target": "126", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (48, 189), 'gcf', 2898)", "intermediate": "9072", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "9072", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "48", "start": 18, "end": 20}, {"value": "189", "start": 25, "end": 28}, {"value": "2898", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 123, then apply gcf to the result and 17220.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 56 by 123: 56 * 123 = 6888. Then, The greatest common factor of 6888 and 17220 is 3444.\nresult = \"3444\"", "target": "3444", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (56, 123), 'gcf', 17220)", "intermediate": "6888", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "6888", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "56", "start": 18, "end": 20}, {"value": "123", "start": 25, "end": 28}, {"value": "17220", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 78, then apply gcf to the result and 3384.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 47 by 78: 47 * 78 = 3666. Then, The greatest common factor of 3666 and 3384 is 282.\nresult = \"282\"", "target": "282", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (47, 78), 'gcf', 3384)", "intermediate": "3666", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "3666", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "47", "start": 18, "end": 20}, {"value": "78", "start": 25, "end": 27}, {"value": "3384", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 127, then apply gcf to the result and 1524.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 127: 16 * 127 = 2032. Then, The greatest common factor of 2032 and 1524 is 508.\nresult = \"508\"", "target": "508", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (16, 127), 'gcf', 1524)", "intermediate": "2032", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "2032", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16", "start": 18, "end": 20}, {"value": "127", "start": 25, "end": 28}, {"value": "1524", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 98, then apply gcf to the result and 16926.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 31 by 98: 31 * 98 = 3038. Then, The greatest common factor of 3038 and 16926 is 434.\nresult = \"434\"", "target": "434", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (31, 98), 'gcf', 16926)", "intermediate": "3038", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "3038", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "31", "start": 18, "end": 20}, {"value": "98", "start": 25, "end": 27}, {"value": "16926", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 88, then apply gcf to the result and 14784.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 16 by 88: 16 * 88 = 1408. Then, The greatest common factor of 1408 and 14784 is 704.\nresult = \"704\"", "target": "704", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (16, 88), 'gcf', 14784)", "intermediate": "1408", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1408", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16", "start": 18, "end": 20}, {"value": "88", "start": 25, "end": 27}, {"value": "14784", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 39, then apply gcf to the result and 5681.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 39: 46 * 39 = 1794. Then, The greatest common factor of 1794 and 5681 is 299.\nresult = \"299\"", "target": "299", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (46, 39), 'gcf', 5681)", "intermediate": "1794", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1794", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "46", "start": 18, "end": 20}, {"value": "39", "start": 25, "end": 27}, {"value": "5681", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 32, then apply gcf to the result and 6344.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 61 by 32: 61 * 32 = 1952. Then, The greatest common factor of 1952 and 6344 is 488.\nresult = \"488\"", "target": "488", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (61, 32), 'gcf', 6344)", "intermediate": "1952", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1952", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "61", "start": 18, "end": 20}, {"value": "32", "start": 25, "end": 27}, {"value": "6344", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 123 and 18, then apply gcf to the result and 27675.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 123 by 18: 123 * 18 = 2214. Then, The greatest common factor of 2214 and 27675 is 1107.\nresult = \"1107\"", "target": "1107", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (123, 18), 'gcf', 27675)", "intermediate": "2214", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "2214", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "123", "start": 18, "end": 21}, {"value": "18", "start": 26, "end": 28}, {"value": "27675", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 84 and 29, then apply gcf to the result and 12586.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 84 by 29: 84 * 29 = 2436. Then, The greatest common factor of 2436 and 12586 is 406.\nresult = \"406\"", "target": "406", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (84, 29), 'gcf', 12586)", "intermediate": "2436", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "2436", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "84", "start": 18, "end": 20}, {"value": "29", "start": 25, "end": 27}, {"value": "12586", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 28, then apply gcf to the result and 2093.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 69 by 28: 69 * 28 = 1932. Then, The greatest common factor of 1932 and 2093 is 161.\nresult = \"161\"", "target": "161", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (69, 28), 'gcf', 2093)", "intermediate": "1932", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1932", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "69", "start": 18, "end": 20}, {"value": "28", "start": 25, "end": 27}, {"value": "2093", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 72, then apply gcf to the result and 18360.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 68 by 72: 68 * 72 = 4896. Then, The greatest common factor of 4896 and 18360 is 1224.\nresult = \"1224\"", "target": "1224", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (68, 72), 'gcf', 18360)", "intermediate": "4896", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "4896", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "68", "start": 18, "end": 20}, {"value": "72", "start": 25, "end": 27}, {"value": "18360", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 76, then apply gcf to the result and 6916.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 21 by 76: 21 * 76 = 1596. Then, The greatest common factor of 1596 and 6916 is 532.\nresult = \"532\"", "target": "532", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (21, 76), 'gcf', 6916)", "intermediate": "1596", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1596", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "21", "start": 18, "end": 20}, {"value": "76", "start": 25, "end": 27}, {"value": "6916", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 22, then apply gcf to the result and 10868.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 76 by 22: 76 * 22 = 1672. Then, The greatest common factor of 1672 and 10868 is 836.\nresult = \"836\"", "target": "836", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (76, 22), 'gcf', 10868)", "intermediate": "1672", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1672", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "76", "start": 18, "end": 20}, {"value": "22", "start": 25, "end": 27}, {"value": "10868", "start": 62, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 71, then apply gcf to the result and 5680.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 25 by 71: 25 * 71 = 1775. Then, The greatest common factor of 1775 and 5680 is 355.\nresult = \"355\"", "target": "355", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (25, 71), 'gcf', 5680)", "intermediate": "1775", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "1775", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 18, "end": 20}, {"value": "71", "start": 25, "end": 27}, {"value": "5680", "start": 62, "end": 66}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 185 and 26, then apply gcf to the result and 4550.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 185 by 26: 185 * 26 = 4810. Then, The greatest common factor of 4810 and 4550 is 130.\nresult = \"130\"", "target": "130", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (185, 26), 'gcf', 4550)", "intermediate": "4810", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "4810", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "185", "start": 18, "end": 21}, {"value": "26", "start": 26, "end": 28}, {"value": "4550", "start": 63, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 127 and 21, then apply gcf to the result and 12573.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 127 by 21: 127 * 21 = 2667. Then, The greatest common factor of 2667 and 12573 is 381.\nresult = \"381\"", "target": "381", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (127, 21), 'gcf', 12573)", "intermediate": "2667", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "2667", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "127", "start": 18, "end": 21}, {"value": "21", "start": 26, "end": 28}, {"value": "12573", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 108, then apply gcf to the result and 20160.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 40 by 108: 40 * 108 = 4320. Then, The greatest common factor of 4320 and 20160 is 1440.\nresult = \"1440\"", "target": "1440", "fn_f": "gcf", "fn_g": "multiply", "fn_chain": "gcf|multiply", "input_str": "('mm', 'multiply', (40, 108), 'gcf', 20160)", "intermediate": "4320", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "multiply", "outer_op": "gcf", "inter_value": "4320", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 18, "end": 20}, {"value": "108", "start": 25, "end": 28}, {"value": "20160", "start": 63, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 46 and 5400 (compute 46% of 5400), then apply gcf to the result and 2346.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "46% of 5400 = 46 * 5400 / 100 = 248400 / 100 = 2484. Then, The greatest common factor of 2484 and 2346 is 138.\nresult = \"138\"", "target": "138", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (46, 5400), 'gcf', 2346)", "intermediate": "2484", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2484", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "46", "start": 20, "end": 22}, {"value": "5400", "start": 27, "end": 31}, {"value": "46", "start": 41, "end": 43}, {"value": "5400", "start": 48, "end": 52}, {"value": "2346", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 76 and 8150 (compute 76% of 8150), then apply gcf to the result and 4564.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "76% of 8150 = 76 * 8150 / 100 = 619400 / 100 = 6194. Then, The greatest common factor of 6194 and 4564 is 326.\nresult = \"326\"", "target": "326", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (76, 8150), 'gcf', 4564)", "intermediate": "6194", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "6194", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "76", "start": 20, "end": 22}, {"value": "8150", "start": 27, "end": 31}, {"value": "76", "start": 41, "end": 43}, {"value": "8150", "start": 48, "end": 52}, {"value": "4564", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 71 and 6000 (compute 71% of 6000), then apply gcf to the result and 2414.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "71% of 6000 = 71 * 6000 / 100 = 426000 / 100 = 4260. Then, The greatest common factor of 4260 and 2414 is 142.\nresult = \"142\"", "target": "142", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (71, 6000), 'gcf', 2414)", "intermediate": "4260", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "4260", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "71", "start": 20, "end": 22}, {"value": "6000", "start": 27, "end": 31}, {"value": "71", "start": 41, "end": 43}, {"value": "6000", "start": 48, "end": 52}, {"value": "2414", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 96 and 3375 (compute 96% of 3375), then apply gcf to the result and 1260.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "96% of 3375 = 96 * 3375 / 100 = 324000 / 100 = 3240. Then, The greatest common factor of 3240 and 1260 is 180.\nresult = \"180\"", "target": "180", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (96, 3375), 'gcf', 1260)", "intermediate": "3240", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3240", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "96", "start": 20, "end": 22}, {"value": "3375", "start": 27, "end": 31}, {"value": "96", "start": 41, "end": 43}, {"value": "3375", "start": 48, "end": 52}, {"value": "1260", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 30 and 7820 (compute 30% of 7820), then apply gcf to the result and 4080.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "30% of 7820 = 30 * 7820 / 100 = 234600 / 100 = 2346. Then, The greatest common factor of 2346 and 4080 is 102.\nresult = \"102\"", "target": "102", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (30, 7820), 'gcf', 4080)", "intermediate": "2346", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2346", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30", "start": 20, "end": 22}, {"value": "7820", "start": 27, "end": 31}, {"value": "30", "start": 41, "end": 43}, {"value": "7820", "start": 48, "end": 52}, {"value": "4080", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 95 and 7060 (compute 95% of 7060), then apply gcf to the result and 4236.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "95% of 7060 = 95 * 7060 / 100 = 670700 / 100 = 6707. Then, The greatest common factor of 6707 and 4236 is 353.\nresult = \"353\"", "target": "353", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (95, 7060), 'gcf', 4236)", "intermediate": "6707", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "6707", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "95", "start": 20, "end": 22}, {"value": "7060", "start": 27, "end": 31}, {"value": "95", "start": 41, "end": 43}, {"value": "7060", "start": 48, "end": 52}, {"value": "4236", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 87 and 5300 (compute 87% of 5300), then apply gcf to the result and 3657.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "87% of 5300 = 87 * 5300 / 100 = 461100 / 100 = 4611. Then, The greatest common factor of 4611 and 3657 is 159.\nresult = \"159\"", "target": "159", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (87, 5300), 'gcf', 3657)", "intermediate": "4611", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "4611", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "87", "start": 20, "end": 22}, {"value": "5300", "start": 27, "end": 31}, {"value": "87", "start": 41, "end": 43}, {"value": "5300", "start": 48, "end": 52}, {"value": "3657", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 16 and 8900 (compute 16% of 8900), then apply gcf to the result and 4984.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "16% of 8900 = 16 * 8900 / 100 = 142400 / 100 = 1424. Then, The greatest common factor of 1424 and 4984 is 712.\nresult = \"712\"", "target": "712", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (16, 8900), 'gcf', 4984)", "intermediate": "1424", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "1424", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16", "start": 20, "end": 22}, {"value": "8900", "start": 27, "end": 31}, {"value": "16", "start": 41, "end": 43}, {"value": "8900", "start": 48, "end": 52}, {"value": "4984", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 72 and 8425 (compute 72% of 8425), then apply gcf to the result and 34374.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "72% of 8425 = 72 * 8425 / 100 = 606600 / 100 = 6066. Then, The greatest common factor of 6066 and 34374 is 2022.\nresult = \"2022\"", "target": "2022", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (72, 8425), 'gcf', 34374)", "intermediate": "6066", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "6066", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "72", "start": 20, "end": 22}, {"value": "8425", "start": 27, "end": 31}, {"value": "72", "start": 41, "end": 43}, {"value": "8425", "start": 48, "end": 52}, {"value": "34374", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 73 and 6800 (compute 73% of 6800), then apply gcf to the result and 8760.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "73% of 6800 = 73 * 6800 / 100 = 496400 / 100 = 4964. Then, The greatest common factor of 4964 and 8760 is 292.\nresult = \"292\"", "target": "292", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (73, 6800), 'gcf', 8760)", "intermediate": "4964", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "4964", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "73", "start": 20, "end": 22}, {"value": "6800", "start": 27, "end": 31}, {"value": "73", "start": 41, "end": 43}, {"value": "6800", "start": 48, "end": 52}, {"value": "8760", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 50 and 8414 (compute 50% of 8414), then apply gcf to the result and 24040.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "50% of 8414 = 50 * 8414 / 100 = 420700 / 100 = 4207. Then, The greatest common factor of 4207 and 24040 is 601.\nresult = \"601\"", "target": "601", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (50, 8414), 'gcf', 24040)", "intermediate": "4207", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "4207", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "50", "start": 20, "end": 22}, {"value": "8414", "start": 27, "end": 31}, {"value": "50", "start": 41, "end": 43}, {"value": "8414", "start": 48, "end": 52}, {"value": "24040", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 60 and 9840 (compute 60% of 9840), then apply gcf to the result and 5740.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "60% of 9840 = 60 * 9840 / 100 = 590400 / 100 = 5904. Then, The greatest common factor of 5904 and 5740 is 164.\nresult = \"164\"", "target": "164", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (60, 9840), 'gcf', 5740)", "intermediate": "5904", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "5904", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "60", "start": 20, "end": 22}, {"value": "9840", "start": 27, "end": 31}, {"value": "60", "start": 41, "end": 43}, {"value": "9840", "start": 48, "end": 52}, {"value": "5740", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 45 and 6380 (compute 45% of 6380), then apply gcf to the result and 8294.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "45% of 6380 = 45 * 6380 / 100 = 287100 / 100 = 2871. Then, The greatest common factor of 2871 and 8294 is 319.\nresult = \"319\"", "target": "319", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (45, 6380), 'gcf', 8294)", "intermediate": "2871", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2871", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "45", "start": 20, "end": 22}, {"value": "6380", "start": 27, "end": 31}, {"value": "45", "start": 41, "end": 43}, {"value": "6380", "start": 48, "end": 52}, {"value": "8294", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 43 and 9200 (compute 43% of 9200), then apply gcf to the result and 20769.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "43% of 9200 = 43 * 9200 / 100 = 395600 / 100 = 3956. Then, The greatest common factor of 3956 and 20769 is 989.\nresult = \"989\"", "target": "989", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (43, 9200), 'gcf', 20769)", "intermediate": "3956", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3956", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "43", "start": 20, "end": 22}, {"value": "9200", "start": 27, "end": 31}, {"value": "43", "start": 41, "end": 43}, {"value": "9200", "start": 48, "end": 52}, {"value": "20769", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 90 and 4060 (compute 90% of 4060), then apply gcf to the result and 1764.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "90% of 4060 = 90 * 4060 / 100 = 365400 / 100 = 3654. Then, The greatest common factor of 3654 and 1764 is 126.\nresult = \"126\"", "target": "126", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (90, 4060), 'gcf', 1764)", "intermediate": "3654", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3654", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "90", "start": 20, "end": 22}, {"value": "4060", "start": 27, "end": 31}, {"value": "90", "start": 41, "end": 43}, {"value": "4060", "start": 48, "end": 52}, {"value": "1764", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 6115 (compute 40% of 6115), then apply gcf to the result and 25683.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 6115 = 40 * 6115 / 100 = 244600 / 100 = 2446. Then, The greatest common factor of 2446 and 25683 is 1223.\nresult = \"1223\"", "target": "1223", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (40, 6115), 'gcf', 25683)", "intermediate": "2446", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2446", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "6115", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "6115", "start": 48, "end": 52}, {"value": "25683", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 80 and 8655 (compute 80% of 8655), then apply gcf to the result and 22503.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "80% of 8655 = 80 * 8655 / 100 = 692400 / 100 = 6924. Then, The greatest common factor of 6924 and 22503 is 1731.\nresult = \"1731\"", "target": "1731", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (80, 8655), 'gcf', 22503)", "intermediate": "6924", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "6924", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "80", "start": 20, "end": 22}, {"value": "8655", "start": 27, "end": 31}, {"value": "80", "start": 41, "end": 43}, {"value": "8655", "start": 48, "end": 52}, {"value": "22503", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 86 and 5150 (compute 86% of 5150), then apply gcf to the result and 2781.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "86% of 5150 = 86 * 5150 / 100 = 442900 / 100 = 4429. Then, The greatest common factor of 4429 and 2781 is 103.\nresult = \"103\"", "target": "103", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (86, 5150), 'gcf', 2781)", "intermediate": "4429", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "4429", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "86", "start": 20, "end": 22}, {"value": "5150", "start": 27, "end": 31}, {"value": "86", "start": 41, "end": 43}, {"value": "5150", "start": 48, "end": 52}, {"value": "2781", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 96 and 7975 (compute 96% of 7975), then apply gcf to the result and 8184.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "96% of 7975 = 96 * 7975 / 100 = 765600 / 100 = 7656. Then, The greatest common factor of 7656 and 8184 is 264.\nresult = \"264\"", "target": "264", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (96, 7975), 'gcf', 8184)", "intermediate": "7656", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "7656", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "96", "start": 20, "end": 22}, {"value": "7975", "start": 27, "end": 31}, {"value": "96", "start": 41, "end": 43}, {"value": "7975", "start": 48, "end": 52}, {"value": "8184", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 60 and 1920 (compute 60% of 1920), then apply gcf to the result and 8352.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "60% of 1920 = 60 * 1920 / 100 = 115200 / 100 = 1152. Then, The greatest common factor of 1152 and 8352 is 288.\nresult = \"288\"", "target": "288", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (60, 1920), 'gcf', 8352)", "intermediate": "1152", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "1152", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "60", "start": 20, "end": 22}, {"value": "1920", "start": 27, "end": 31}, {"value": "60", "start": 41, "end": 43}, {"value": "1920", "start": 48, "end": 52}, {"value": "8352", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 5590 (compute 40% of 5590), then apply gcf to the result and 39130.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 5590 = 40 * 5590 / 100 = 223600 / 100 = 2236. Then, The greatest common factor of 2236 and 39130 is 1118.\nresult = \"1118\"", "target": "1118", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (40, 5590), 'gcf', 39130)", "intermediate": "2236", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2236", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "5590", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "5590", "start": 48, "end": 52}, {"value": "39130", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 60 and 6500 (compute 60% of 6500), then apply gcf to the result and 3100.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "60% of 6500 = 60 * 6500 / 100 = 390000 / 100 = 3900. Then, The greatest common factor of 3900 and 3100 is 100.\nresult = \"100\"", "target": "100", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (60, 6500), 'gcf', 3100)", "intermediate": "3900", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3900", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "60", "start": 20, "end": 22}, {"value": "6500", "start": 27, "end": 31}, {"value": "60", "start": 41, "end": 43}, {"value": "6500", "start": 48, "end": 52}, {"value": "3100", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 15 and 7280 (compute 15% of 7280), then apply gcf to the result and 8190.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "15% of 7280 = 15 * 7280 / 100 = 109200 / 100 = 1092. Then, The greatest common factor of 1092 and 8190 is 546.\nresult = \"546\"", "target": "546", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (15, 7280), 'gcf', 8190)", "intermediate": "1092", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "1092", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15", "start": 20, "end": 22}, {"value": "7280", "start": 27, "end": 31}, {"value": "15", "start": 41, "end": 43}, {"value": "7280", "start": 48, "end": 52}, {"value": "8190", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 82 and 3850 (compute 82% of 3850), then apply gcf to the result and 5412.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "82% of 3850 = 82 * 3850 / 100 = 315700 / 100 = 3157. Then, The greatest common factor of 3157 and 5412 is 451.\nresult = \"451\"", "target": "451", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (82, 3850), 'gcf', 5412)", "intermediate": "3157", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3157", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "82", "start": 20, "end": 22}, {"value": "3850", "start": 27, "end": 31}, {"value": "82", "start": 41, "end": 43}, {"value": "3850", "start": 48, "end": 52}, {"value": "5412", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 50 and 7788 (compute 50% of 7788), then apply gcf to the result and 5841.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "50% of 7788 = 50 * 7788 / 100 = 389400 / 100 = 3894. Then, The greatest common factor of 3894 and 5841 is 1947.\nresult = \"1947\"", "target": "1947", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (50, 7788), 'gcf', 5841)", "intermediate": "3894", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3894", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "50", "start": 20, "end": 22}, {"value": "7788", "start": 27, "end": 31}, {"value": "50", "start": 41, "end": 43}, {"value": "7788", "start": 48, "end": 52}, {"value": "5841", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 20 and 7810 (compute 20% of 7810), then apply gcf to the result and 16401.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "20% of 7810 = 20 * 7810 / 100 = 156200 / 100 = 1562. Then, The greatest common factor of 1562 and 16401 is 781.\nresult = \"781\"", "target": "781", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (20, 7810), 'gcf', 16401)", "intermediate": "1562", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "1562", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "20", "start": 20, "end": 22}, {"value": "7810", "start": 27, "end": 31}, {"value": "20", "start": 41, "end": 43}, {"value": "7810", "start": 48, "end": 52}, {"value": "16401", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 45 and 8120 (compute 45% of 8120), then apply gcf to the result and 13050.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "45% of 8120 = 45 * 8120 / 100 = 365400 / 100 = 3654. Then, The greatest common factor of 3654 and 13050 is 522.\nresult = \"522\"", "target": "522", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (45, 8120), 'gcf', 13050)", "intermediate": "3654", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "3654", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "45", "start": 20, "end": 22}, {"value": "8120", "start": 27, "end": 31}, {"value": "45", "start": 41, "end": 43}, {"value": "8120", "start": 48, "end": 52}, {"value": "13050", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 64 and 4100 (compute 64% of 4100), then apply gcf to the result and 19680.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "64% of 4100 = 64 * 4100 / 100 = 262400 / 100 = 2624. Then, The greatest common factor of 2624 and 19680 is 1312.\nresult = \"1312\"", "target": "1312", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (64, 4100), 'gcf', 19680)", "intermediate": "2624", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2624", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "64", "start": 20, "end": 22}, {"value": "4100", "start": 27, "end": 31}, {"value": "64", "start": 41, "end": 43}, {"value": "4100", "start": 48, "end": 52}, {"value": "19680", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 70 and 2980 (compute 70% of 2980), then apply gcf to the result and 1639.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "70% of 2980 = 70 * 2980 / 100 = 208600 / 100 = 2086. Then, The greatest common factor of 2086 and 1639 is 149.\nresult = \"149\"", "target": "149", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (70, 2980), 'gcf', 1639)", "intermediate": "2086", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2086", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "70", "start": 20, "end": 22}, {"value": "2980", "start": 27, "end": 31}, {"value": "70", "start": 41, "end": 43}, {"value": "2980", "start": 48, "end": 52}, {"value": "1639", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 30 and 9190 (compute 30% of 9190), then apply gcf to the result and 11947.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "30% of 9190 = 30 * 9190 / 100 = 275700 / 100 = 2757. Then, The greatest common factor of 2757 and 11947 is 919.\nresult = \"919\"", "target": "919", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (30, 9190), 'gcf', 11947)", "intermediate": "2757", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2757", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30", "start": 20, "end": 22}, {"value": "9190", "start": 27, "end": 31}, {"value": "30", "start": 41, "end": 43}, {"value": "9190", "start": 48, "end": 52}, {"value": "11947", "start": 88, "end": 93}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 25 and 8244 (compute 25% of 8244), then apply gcf to the result and 1832.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "25% of 8244 = 25 * 8244 / 100 = 206100 / 100 = 2061. Then, The greatest common factor of 2061 and 1832 is 229.\nresult = \"229\"", "target": "229", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (25, 8244), 'gcf', 1832)", "intermediate": "2061", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2061", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 20, "end": 22}, {"value": "8244", "start": 27, "end": 31}, {"value": "25", "start": 41, "end": 43}, {"value": "8244", "start": 48, "end": 52}, {"value": "1832", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 50 and 5174 (compute 50% of 5174), then apply gcf to the result and 6169.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "50% of 5174 = 50 * 5174 / 100 = 258700 / 100 = 2587. Then, The greatest common factor of 2587 and 6169 is 199.\nresult = \"199\"", "target": "199", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (50, 5174), 'gcf', 6169)", "intermediate": "2587", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "2587", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "50", "start": 20, "end": 22}, {"value": "5174", "start": 27, "end": 31}, {"value": "50", "start": 41, "end": 43}, {"value": "5174", "start": 48, "end": 52}, {"value": "6169", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 4205 (compute 40% of 4205), then apply gcf to the result and 7569.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 4205 = 40 * 4205 / 100 = 168200 / 100 = 1682. Then, The greatest common factor of 1682 and 7569 is 841.\nresult = \"841\"", "target": "841", "fn_f": "gcf", "fn_g": "percent_of", "fn_chain": "gcf|percent_of", "input_str": "('mm', 'percent_of', (40, 4205), 'gcf', 7569)", "intermediate": "1682", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "percent_of", "outer_op": "gcf", "inter_value": "1682", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "4205", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "4205", "start": 48, "end": 52}, {"value": "7569", "start": 88, "end": 92}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5500 and 12100, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5500 and 12100 is 1100. Then, Multiply the result 1100 by 9: 1100 * 9 = 9900.\nresult = \"9900\"", "target": "9900", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (5500, 12100), 'multiply', 9)", "intermediate": "1100", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1100", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "5500", "start": 13, "end": 17}, {"value": "12100", "start": 22, "end": 27}, {"value": "9", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 41202 and 45780, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 41202 and 45780 is 4578. Then, Multiply the result 4578 by 2: 4578 * 2 = 9156.\nresult = \"9156\"", "target": "9156", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (41202, 45780), 'multiply', 2)", "intermediate": "4578", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4578", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "41202", "start": 13, "end": 18}, {"value": "45780", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12150 and 26730, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12150 and 26730 is 2430. Then, Multiply the result 2430 by 3: 2430 * 3 = 7290.\nresult = \"7290\"", "target": "7290", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (12150, 26730), 'multiply', 3)", "intermediate": "2430", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2430", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "12150", "start": 13, "end": 18}, {"value": "26730", "start": 23, "end": 28}, {"value": "3", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 32585 and 51205, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 32585 and 51205 is 4655. Then, Multiply the result 4655 by 2: 4655 * 2 = 9310.\nresult = \"9310\"", "target": "9310", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (32585, 51205), 'multiply', 2)", "intermediate": "4655", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4655", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "32585", "start": 13, "end": 18}, {"value": "51205", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8400 and 9800, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8400 and 9800 is 1400. Then, Multiply the result 1400 by 4: 1400 * 4 = 5600.\nresult = \"5600\"", "target": "5600", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8400, 9800), 'multiply', 4)", "intermediate": "1400", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1400", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8400", "start": 13, "end": 17}, {"value": "9800", "start": 22, "end": 26}, {"value": "4", "start": 66, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 25326 and 39798, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 25326 and 39798 is 3618. Then, Multiply the result 3618 by 2: 3618 * 2 = 7236.\nresult = \"7236\"", "target": "7236", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (25326, 39798), 'multiply', 2)", "intermediate": "3618", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3618", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25326", "start": 13, "end": 18}, {"value": "39798", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 13419 and 22365, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 13419 and 22365 is 4473. Then, Multiply the result 4473 by 2: 4473 * 2 = 8946.\nresult = \"8946\"", "target": "8946", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (13419, 22365), 'multiply', 2)", "intermediate": "4473", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4473", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "13419", "start": 13, "end": 18}, {"value": "22365", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21785 and 26142, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21785 and 26142 is 4357. Then, Multiply the result 4357 by 2: 4357 * 2 = 8714.\nresult = \"8714\"", "target": "8714", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21785, 26142), 'multiply', 2)", "intermediate": "4357", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4357", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "21785", "start": 13, "end": 18}, {"value": "26142", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 23760 and 28512, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 23760 and 28512 is 4752. Then, Multiply the result 4752 by 2: 4752 * 2 = 9504.\nresult = \"9504\"", "target": "9504", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (23760, 28512), 'multiply', 2)", "intermediate": "4752", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4752", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23760", "start": 13, "end": 18}, {"value": "28512", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14785 and 23656, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14785 and 23656 is 2957. Then, Multiply the result 2957 by 2: 2957 * 2 = 5914.\nresult = \"5914\"", "target": "5914", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14785, 23656), 'multiply', 2)", "intermediate": "2957", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2957", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "14785", "start": 13, "end": 18}, {"value": "23656", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16750 and 30150, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16750 and 30150 is 3350. Then, Multiply the result 3350 by 2: 3350 * 2 = 6700.\nresult = \"6700\"", "target": "6700", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16750, 30150), 'multiply', 2)", "intermediate": "3350", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3350", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16750", "start": 13, "end": 18}, {"value": "30150", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 26592, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16620 and 26592 is 3324. Then, Multiply the result 3324 by 3: 3324 * 3 = 9972.\nresult = \"9972\"", "target": "9972", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (16620, 26592), 'multiply', 3)", "intermediate": "3324", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3324", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16620", "start": 13, "end": 18}, {"value": "26592", "start": 23, "end": 28}, {"value": "3", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3256 and 11396, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3256 and 11396 is 1628. Then, Multiply the result 1628 by 4: 1628 * 4 = 6512.\nresult = \"6512\"", "target": "6512", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3256, 11396), 'multiply', 4)", "intermediate": "1628", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1628", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "3256", "start": 13, "end": 17}, {"value": "11396", "start": 22, "end": 27}, {"value": "4", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 28392 and 33124, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 28392 and 33124 is 4732. Then, Multiply the result 4732 by 2: 4732 * 2 = 9464.\nresult = \"9464\"", "target": "9464", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (28392, 33124), 'multiply', 2)", "intermediate": "4732", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4732", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "28392", "start": 13, "end": 18}, {"value": "33124", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3008 and 16544, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3008 and 16544 is 1504. Then, Multiply the result 1504 by 6: 1504 * 6 = 9024.\nresult = \"9024\"", "target": "9024", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (3008, 16544), 'multiply', 6)", "intermediate": "1504", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1504", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "3008", "start": 13, "end": 17}, {"value": "16544", "start": 22, "end": 27}, {"value": "6", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 21110 and 33776, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 21110 and 33776 is 4222. Then, Multiply the result 4222 by 2: 4222 * 2 = 8444.\nresult = \"8444\"", "target": "8444", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (21110, 33776), 'multiply', 2)", "intermediate": "4222", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4222", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "21110", "start": 13, "end": 18}, {"value": "33776", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2814 and 4221, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2814 and 4221 is 1407. Then, Multiply the result 1407 by 5: 1407 * 5 = 7035.\nresult = \"7035\"", "target": "7035", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2814, 4221), 'multiply', 5)", "intermediate": "1407", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1407", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "2814", "start": 13, "end": 17}, {"value": "4221", "start": 22, "end": 26}, {"value": "5", "start": 66, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 2080 and 7280, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 2080 and 7280 is 1040. Then, Multiply the result 1040 by 9: 1040 * 9 = 9360.\nresult = \"9360\"", "target": "9360", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (2080, 7280), 'multiply', 9)", "intermediate": "1040", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1040", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "2080", "start": 13, "end": 17}, {"value": "7280", "start": 22, "end": 26}, {"value": "9", "start": 66, "end": 67}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14930 and 26874, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14930 and 26874 is 2986. Then, Multiply the result 2986 by 2: 2986 * 2 = 5972.\nresult = \"5972\"", "target": "5972", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (14930, 26874), 'multiply', 2)", "intermediate": "2986", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2986", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "14930", "start": 13, "end": 18}, {"value": "26874", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15528 and 19410, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15528 and 19410 is 3882. Then, Multiply the result 3882 by 2: 3882 * 2 = 7764.\nresult = \"7764\"", "target": "7764", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (15528, 19410), 'multiply', 2)", "intermediate": "3882", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3882", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15528", "start": 13, "end": 18}, {"value": "19410", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8202 and 27340, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8202 and 27340 is 2734. Then, Multiply the result 2734 by 2: 2734 * 2 = 5468.\nresult = \"5468\"", "target": "5468", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8202, 27340), 'multiply', 2)", "intermediate": "2734", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2734", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8202", "start": 13, "end": 17}, {"value": "27340", "start": 22, "end": 27}, {"value": "2", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10422 and 13896, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10422 and 13896 is 3474. Then, Multiply the result 3474 by 2: 3474 * 2 = 6948.\nresult = \"6948\"", "target": "6948", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10422, 13896), 'multiply', 2)", "intermediate": "3474", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3474", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "10422", "start": 13, "end": 18}, {"value": "13896", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 33363 and 40777, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 33363 and 40777 is 3707. Then, Multiply the result 3707 by 2: 3707 * 2 = 7414.\nresult = \"7414\"", "target": "7414", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (33363, 40777), 'multiply', 2)", "intermediate": "3707", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3707", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "33363", "start": 13, "end": 18}, {"value": "40777", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11700 and 26325, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11700 and 26325 is 2925. Then, Multiply the result 2925 by 2: 2925 * 2 = 5850.\nresult = \"5850\"", "target": "5850", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11700, 26325), 'multiply', 2)", "intermediate": "2925", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2925", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "11700", "start": 13, "end": 18}, {"value": "26325", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11130 and 12720, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11130 and 12720 is 1590. Then, Multiply the result 1590 by 6: 1590 * 6 = 9540.\nresult = \"9540\"", "target": "9540", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (11130, 12720), 'multiply', 6)", "intermediate": "1590", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1590", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "11130", "start": 13, "end": 18}, {"value": "12720", "start": 23, "end": 28}, {"value": "6", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10278 and 34260, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10278 and 34260 is 3426. Then, Multiply the result 3426 by 2: 3426 * 2 = 6852.\nresult = \"6852\"", "target": "6852", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (10278, 34260), 'multiply', 2)", "intermediate": "3426", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3426", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "10278", "start": 13, "end": 18}, {"value": "34260", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8520 and 23430, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8520 and 23430 is 2130. Then, Multiply the result 2130 by 2: 2130 * 2 = 4260.\nresult = \"4260\"", "target": "4260", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8520, 23430), 'multiply', 2)", "intermediate": "2130", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "2130", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8520", "start": 13, "end": 17}, {"value": "23430", "start": 22, "end": 27}, {"value": "2", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 27531 and 31464, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 27531 and 31464 is 3933. Then, Multiply the result 3933 by 2: 3933 * 2 = 7866.\nresult = \"7866\"", "target": "7866", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (27531, 31464), 'multiply', 2)", "intermediate": "3933", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3933", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "27531", "start": 13, "end": 18}, {"value": "31464", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8155 and 13048, then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8155 and 13048 is 1631. Then, Multiply the result 1631 by 6: 1631 * 6 = 9786.\nresult = \"9786\"", "target": "9786", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (8155, 13048), 'multiply', 6)", "intermediate": "1631", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "1631", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8155", "start": 13, "end": 17}, {"value": "13048", "start": 22, "end": 27}, {"value": "6", "start": 67, "end": 68}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 39609 and 44010, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 39609 and 44010 is 4401. Then, Multiply the result 4401 by 2: 4401 * 2 = 8802.\nresult = \"8802\"", "target": "8802", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (39609, 44010), 'multiply', 2)", "intermediate": "4401", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4401", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "39609", "start": 13, "end": 18}, {"value": "44010", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 27811 and 39730, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 27811 and 39730 is 3973. Then, Multiply the result 3973 by 2: 3973 * 2 = 7946.\nresult = \"7946\"", "target": "7946", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (27811, 39730), 'multiply', 2)", "intermediate": "3973", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3973", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "27811", "start": 13, "end": 18}, {"value": "39730", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 29916 and 33240, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 29916 and 33240 is 3324. Then, Multiply the result 3324 by 3: 3324 * 3 = 9972.\nresult = \"9972\"", "target": "9972", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (29916, 33240), 'multiply', 3)", "intermediate": "3324", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "3324", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "29916", "start": 13, "end": 18}, {"value": "33240", "start": 23, "end": 28}, {"value": "3", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 20645 and 33032, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 20645 and 33032 is 4129. Then, Multiply the result 4129 by 2: 4129 * 2 = 8258.\nresult = \"8258\"", "target": "8258", "fn_f": "multiply", "fn_g": "gcf", "fn_chain": "multiply|gcf", "input_str": "('mm', 'gcf', (20645, 33032), 'multiply', 2)", "intermediate": "4129", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "multiply", "inter_value": "4129", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "20645", "start": 13, "end": 18}, {"value": "33032", "start": 23, "end": 28}, {"value": "2", "start": 68, "end": 69}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 199, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 199 is 4776. Then, Multiply the result 4776 by 2: 4776 * 2 = 9552.\nresult = \"9552\"", "target": "9552", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (24, 199), 'multiply', 2)", "intermediate": "4776", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4776", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "24", "start": 13, "end": 15}, {"value": "199", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 47, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 56 and 47 is 2632. Then, Multiply the result 2632 by 3: 2632 * 3 = 7896.\nresult = \"7896\"", "target": "7896", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (56, 47), 'multiply', 3)", "intermediate": "2632", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2632", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "56", "start": 13, "end": 15}, {"value": "47", "start": 20, "end": 22}, {"value": "3", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 115 and 41, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 115 and 41 is 4715. Then, Multiply the result 4715 by 2: 4715 * 2 = 9430.\nresult = \"9430\"", "target": "9430", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (115, 41), 'multiply', 2)", "intermediate": "4715", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4715", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "115", "start": 13, "end": 16}, {"value": "41", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 88, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 88 is 2024. Then, Multiply the result 2024 by 4: 2024 * 4 = 8096.\nresult = \"8096\"", "target": "8096", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (23, 88), 'multiply', 4)", "intermediate": "2024", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2024", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23", "start": 13, "end": 15}, {"value": "88", "start": 20, "end": 22}, {"value": "4", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 42, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 42 is 1050. Then, Multiply the result 1050 by 2: 1050 * 2 = 2100.\nresult = \"2100\"", "target": "2100", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 42), 'multiply', 2)", "intermediate": "1050", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1050", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 13, "end": 15}, {"value": "42", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 37, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 42 and 37 is 1554. Then, Multiply the result 1554 by 5: 1554 * 5 = 7770.\nresult = \"7770\"", "target": "7770", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (42, 37), 'multiply', 5)", "intermediate": "1554", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1554", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "42", "start": 13, "end": 15}, {"value": "37", "start": 20, "end": 22}, {"value": "5", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 147, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 147 is 2793. Then, Multiply the result 2793 by 2: 2793 * 2 = 5586.\nresult = \"5586\"", "target": "5586", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (19, 147), 'multiply', 2)", "intermediate": "2793", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2793", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "19", "start": 13, "end": 15}, {"value": "147", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 90, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 68 and 90 is 3060. Then, Multiply the result 3060 by 3: 3060 * 3 = 9180.\nresult = \"9180\"", "target": "9180", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (68, 90), 'multiply', 3)", "intermediate": "3060", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "3060", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "68", "start": 13, "end": 15}, {"value": "90", "start": 20, "end": 22}, {"value": "3", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 94, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 100 and 94 is 4700. Then, Multiply the result 4700 by 2: 4700 * 2 = 9400.\nresult = \"9400\"", "target": "9400", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (100, 94), 'multiply', 2)", "intermediate": "4700", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4700", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "100", "start": 13, "end": 16}, {"value": "94", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 174 and 72, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 174 and 72 is 2088. Then, Multiply the result 2088 by 3: 2088 * 3 = 6264.\nresult = \"6264\"", "target": "6264", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (174, 72), 'multiply', 3)", "intermediate": "2088", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2088", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "174", "start": 13, "end": 16}, {"value": "72", "start": 21, "end": 23}, {"value": "3", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 116, then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 60 and 116 is 1740. Then, Multiply the result 1740 by 4: 1740 * 4 = 6960.\nresult = \"6960\"", "target": "6960", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (60, 116), 'multiply', 4)", "intermediate": "1740", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1740", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "60", "start": 13, "end": 15}, {"value": "116", "start": 20, "end": 23}, {"value": "4", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 119 and 19, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 119 and 19 is 2261. Then, Multiply the result 2261 by 2: 2261 * 2 = 4522.\nresult = \"4522\"", "target": "4522", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (119, 19), 'multiply', 2)", "intermediate": "2261", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2261", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "119", "start": 13, "end": 16}, {"value": "19", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 75 and 69, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 75 and 69 is 1725. Then, Multiply the result 1725 by 2: 1725 * 2 = 3450.\nresult = \"3450\"", "target": "3450", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (75, 69), 'multiply', 2)", "intermediate": "1725", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1725", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "75", "start": 13, "end": 15}, {"value": "69", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 162, then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 162 is 1296. Then, Multiply the result 1296 by 5: 1296 * 5 = 6480.\nresult = \"6480\"", "target": "6480", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (16, 162), 'multiply', 5)", "intermediate": "1296", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1296", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16", "start": 13, "end": 15}, {"value": "162", "start": 20, "end": 23}, {"value": "5", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 80 and 13, then apply multiply to the result and 9.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 80 and 13 is 1040. Then, Multiply the result 1040 by 9: 1040 * 9 = 9360.\nresult = \"9360\"", "target": "9360", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (80, 13), 'multiply', 9)", "intermediate": "1040", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1040", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "80", "start": 13, "end": 15}, {"value": "13", "start": 20, "end": 22}, {"value": "9", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 180, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 114 and 180 is 3420. Then, Multiply the result 3420 by 2: 3420 * 2 = 6840.\nresult = \"6840\"", "target": "6840", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (114, 180), 'multiply', 2)", "intermediate": "3420", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "3420", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "114", "start": 13, "end": 16}, {"value": "180", "start": 21, "end": 24}, {"value": "2", "start": 64, "end": 65}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 57, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 49 and 57 is 2793. Then, Multiply the result 2793 by 2: 2793 * 2 = 5586.\nresult = \"5586\"", "target": "5586", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (49, 57), 'multiply', 2)", "intermediate": "2793", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2793", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "49", "start": 13, "end": 15}, {"value": "57", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 37, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 124 and 37 is 4588. Then, Multiply the result 4588 by 2: 4588 * 2 = 9176.\nresult = \"9176\"", "target": "9176", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (124, 37), 'multiply', 2)", "intermediate": "4588", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4588", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "124", "start": 13, "end": 16}, {"value": "37", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 144, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 144 is 4464. Then, Multiply the result 4464 by 2: 4464 * 2 = 8928.\nresult = \"8928\"", "target": "8928", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (93, 144), 'multiply', 2)", "intermediate": "4464", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4464", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "144", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 170, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 45 and 170 is 1530. Then, Multiply the result 1530 by 3: 1530 * 3 = 4590.\nresult = \"4590\"", "target": "4590", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (45, 170), 'multiply', 3)", "intermediate": "1530", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1530", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "45", "start": 13, "end": 15}, {"value": "170", "start": 20, "end": 23}, {"value": "3", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 103, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 103 is 2575. Then, Multiply the result 2575 by 2: 2575 * 2 = 5150.\nresult = \"5150\"", "target": "5150", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (25, 103), 'multiply', 2)", "intermediate": "2575", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2575", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 13, "end": 15}, {"value": "103", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 137 and 21, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 137 and 21 is 2877. Then, Multiply the result 2877 by 3: 2877 * 3 = 8631.\nresult = \"8631\"", "target": "8631", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (137, 21), 'multiply', 3)", "intermediate": "2877", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2877", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "137", "start": 13, "end": 16}, {"value": "21", "start": 21, "end": 23}, {"value": "3", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 195, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 195 is 3315. Then, Multiply the result 3315 by 2: 3315 * 2 = 6630.\nresult = \"6630\"", "target": "6630", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (51, 195), 'multiply', 2)", "intermediate": "3315", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "3315", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "51", "start": 13, "end": 15}, {"value": "195", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 133, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 190 and 133 is 1330. Then, Multiply the result 1330 by 2: 1330 * 2 = 2660.\nresult = \"2660\"", "target": "2660", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (190, 133), 'multiply', 2)", "intermediate": "1330", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1330", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "190", "start": 13, "end": 16}, {"value": "133", "start": 21, "end": 24}, {"value": "2", "start": 64, "end": 65}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 29, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 152 and 29 is 4408. Then, Multiply the result 4408 by 2: 4408 * 2 = 8816.\nresult = \"8816\"", "target": "8816", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (152, 29), 'multiply', 2)", "intermediate": "4408", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4408", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "152", "start": 13, "end": 16}, {"value": "29", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 82, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 26 and 82 is 1066. Then, Multiply the result 1066 by 3: 1066 * 3 = 3198.\nresult = \"3198\"", "target": "3198", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (26, 82), 'multiply', 3)", "intermediate": "1066", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1066", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "26", "start": 13, "end": 15}, {"value": "82", "start": 20, "end": 22}, {"value": "3", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 120, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 164 and 120 is 4920. Then, Multiply the result 4920 by 2: 4920 * 2 = 9840.\nresult = \"9840\"", "target": "9840", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (164, 120), 'multiply', 2)", "intermediate": "4920", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4920", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "164", "start": 13, "end": 16}, {"value": "120", "start": 21, "end": 24}, {"value": "2", "start": 64, "end": 65}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "3799", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "29", "start": 13, "end": 15}, {"value": "131", "start": 20, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 71 and 62, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 71 and 62 is 4402. Then, Multiply the result 4402 by 2: 4402 * 2 = 8804.\nresult = \"8804\"", "target": "8804", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (71, 62), 'multiply', 2)", "intermediate": "4402", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4402", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "71", "start": 13, "end": 15}, {"value": "62", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 45, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 23 and 45 is 1035. Then, Multiply the result 1035 by 2: 1035 * 2 = 2070.\nresult = \"2070\"", "target": "2070", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (23, 45), 'multiply', 2)", "intermediate": "1035", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "1035", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23", "start": 13, "end": 15}, {"value": "45", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 79, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 57 and 79 is 4503. Then, Multiply the result 4503 by 2: 4503 * 2 = 9006.\nresult = \"9006\"", "target": "9006", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (57, 79), 'multiply', 2)", "intermediate": "4503", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "4503", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "57", "start": 13, "end": 15}, {"value": "79", "start": 20, "end": 22}, {"value": "2", "start": 62, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 187, then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 15 and 187 is 2805. Then, Multiply the result 2805 by 3: 2805 * 3 = 8415.\nresult = \"8415\"", "target": "8415", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (15, 187), 'multiply', 3)", "intermediate": "2805", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2805", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15", "start": 13, "end": 15}, {"value": "187", "start": 20, "end": 23}, {"value": "3", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 29, then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 103 and 29 is 2987. Then, Multiply the result 2987 by 2: 2987 * 2 = 5974.\nresult = \"5974\"", "target": "5974", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (103, 29), 'multiply', 2)", "intermediate": "2987", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "multiply", "inter_value": "2987", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "103", "start": 13, "end": 16}, {"value": "29", "start": 21, "end": 23}, {"value": "2", "start": 63, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 38510 and 46212, then take 35% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 38510 and 46212 is 7702. Then, 35% of the result 7702 = 35 * 7702 / 100 = 269570 / 100 = 2695.70.\nresult = \"2695.70\"", "target": "2695.70", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (38510, 46212), 'percent_of', 35)", "intermediate": "7702", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7702", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "38510", "start": 13, "end": 18}, {"value": "46212", "start": 23, "end": 28}, {"value": "35", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 15298 and 53543, then take 44% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 15298 and 53543 is 7649. Then, 44% of the result 7649 = 44 * 7649 / 100 = 336556 / 100 = 3365.56.\nresult = \"3365.56\"", "target": "3365.56", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (15298, 53543), 'percent_of', 44)", "intermediate": "7649", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7649", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15298", "start": 13, "end": 18}, {"value": "53543", "start": 23, "end": 28}, {"value": "44", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 18016 and 20268, then take 86% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 18016 and 20268 is 2252. Then, 86% of the result 2252 = 86 * 2252 / 100 = 193672 / 100 = 1936.72.\nresult = \"1936.72\"", "target": "1936.72", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (18016, 20268), 'percent_of', 86)", "intermediate": "2252", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2252", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "18016", "start": 13, "end": 18}, {"value": "20268", "start": 23, "end": 28}, {"value": "86", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 37435 and 59896, then take 59% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 37435 and 59896 is 7487. Then, 59% of the result 7487 = 59 * 7487 / 100 = 441733 / 100 = 4417.33.\nresult = \"4417.33\"", "target": "4417.33", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (37435, 59896), 'percent_of', 59)", "intermediate": "7487", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7487", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "37435", "start": 13, "end": 18}, {"value": "59896", "start": 23, "end": 28}, {"value": "59", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24924 and 66464, then take 92% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24924 and 66464 is 8308. Then, 92% of the result 8308 = 92 * 8308 / 100 = 764336 / 100 = 7643.36.\nresult = \"7643.36\"", "target": "7643.36", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (24924, 66464), 'percent_of', 92)", "intermediate": "8308", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8308", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "24924", "start": 13, "end": 18}, {"value": "66464", "start": 23, "end": 28}, {"value": "92", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 27108 and 90360, then take 34% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 27108 and 90360 is 9036. Then, 34% of the result 9036 = 34 * 9036 / 100 = 307224 / 100 = 3072.24.\nresult = \"3072.24\"", "target": "3072.24", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (27108, 90360), 'percent_of', 34)", "intermediate": "9036", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "9036", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "27108", "start": 13, "end": 18}, {"value": "90360", "start": 23, "end": 28}, {"value": "34", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 65975 and 84825, then take 46% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 65975 and 84825 is 9425. Then, 46% of the result 9425 = 46 * 9425 / 100 = 433550 / 100 = 4335.50.\nresult = \"4335.50\"", "target": "4335.50", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (65975, 84825), 'percent_of', 46)", "intermediate": "9425", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "9425", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "65975", "start": 13, "end": 18}, {"value": "84825", "start": 23, "end": 28}, {"value": "46", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 23823 and 63528, then take 35% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 23823 and 63528 is 7941. Then, 35% of the result 7941 = 35 * 7941 / 100 = 277935 / 100 = 2779.35.\nresult = \"2779.35\"", "target": "2779.35", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (23823, 63528), 'percent_of', 35)", "intermediate": "7941", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7941", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23823", "start": 13, "end": 18}, {"value": "63528", "start": 23, "end": 28}, {"value": "35", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 40518 and 49522, then take 37% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 40518 and 49522 is 4502. Then, 37% of the result 4502 = 37 * 4502 / 100 = 166574 / 100 = 1665.74.\nresult = \"1665.74\"", "target": "1665.74", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (40518, 49522), 'percent_of', 37)", "intermediate": "4502", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "4502", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40518", "start": 13, "end": 18}, {"value": "49522", "start": 23, "end": 28}, {"value": "37", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 35684 and 44605, then take 67% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 35684 and 44605 is 8921. Then, 67% of the result 8921 = 67 * 8921 / 100 = 597707 / 100 = 5977.07.\nresult = \"5977.07\"", "target": "5977.07", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (35684, 44605), 'percent_of', 67)", "intermediate": "8921", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8921", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "35684", "start": 13, "end": 18}, {"value": "44605", "start": 23, "end": 28}, {"value": "67", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 63847 and 91210, then take 96% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 63847 and 91210 is 9121. Then, 96% of the result 9121 = 96 * 9121 / 100 = 875616 / 100 = 8756.16.\nresult = \"8756.16\"", "target": "8756.16", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (63847, 91210), 'percent_of', 96)", "intermediate": "9121", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "9121", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "63847", "start": 13, "end": 18}, {"value": "91210", "start": 23, "end": 28}, {"value": "96", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 4930 and 22185, then take 84% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 4930 and 22185 is 2465. Then, 84% of the result 2465 = 84 * 2465 / 100 = 207060 / 100 = 2070.60.\nresult = \"2070.60\"", "target": "2070.60", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (4930, 22185), 'percent_of', 84)", "intermediate": "2465", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2465", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "4930", "start": 13, "end": 17}, {"value": "22185", "start": 22, "end": 27}, {"value": "84", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 44208 and 81048, then take 70% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 44208 and 81048 is 7368. Then, 70% of the result 7368 = 70 * 7368 / 100 = 515760 / 100 = 5157.60.\nresult = \"5157.60\"", "target": "5157.60", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (44208, 81048), 'percent_of', 70)", "intermediate": "7368", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7368", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "44208", "start": 13, "end": 18}, {"value": "81048", "start": 23, "end": 28}, {"value": "70", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 52500 and 61250, then take 80% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 52500 and 61250 is 8750. Then, 80% of the result 8750 = 80 * 8750 / 100 = 700000 / 100 = 7000.00.\nresult = \"7000.00\"", "target": "7000.00", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (52500, 61250), 'percent_of', 80)", "intermediate": "8750", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8750", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "52500", "start": 13, "end": 18}, {"value": "61250", "start": 23, "end": 28}, {"value": "80", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 11760 and 13720, then take 31% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 11760 and 13720 is 1960. Then, 31% of the result 1960 = 31 * 1960 / 100 = 60760 / 100 = 607.60.\nresult = \"607.60\"", "target": "607.60", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (11760, 13720), 'percent_of', 31)", "intermediate": "1960", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "1960", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "11760", "start": 13, "end": 18}, {"value": "13720", "start": 23, "end": 28}, {"value": "31", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 77850, then take 8% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 23355 and 77850 is 7785. Then, 8% of the result 7785 = 8 * 7785 / 100 = 62280 / 100 = 622.80.\nresult = \"622.80\"", "target": "622.80", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (23355, 77850), 'percent_of', 8)", "intermediate": "7785", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "7785", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23355", "start": 13, "end": 18}, {"value": "77850", "start": 23, "end": 28}, {"value": "8", "start": 40, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 35084 and 55132, then take 22% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 35084 and 55132 is 5012. Then, 22% of the result 5012 = 22 * 5012 / 100 = 110264 / 100 = 1102.64.\nresult = \"1102.64\"", "target": "1102.64", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (35084, 55132), 'percent_of', 22)", "intermediate": "5012", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "5012", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "35084", "start": 13, "end": 18}, {"value": "55132", "start": 23, "end": 28}, {"value": "22", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 30390 and 55715, then take 92% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 30390 and 55715 is 5065. Then, 92% of the result 5065 = 92 * 5065 / 100 = 465980 / 100 = 4659.80.\nresult = \"4659.80\"", "target": "4659.80", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (30390, 55715), 'percent_of', 92)", "intermediate": "5065", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "5065", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30390", "start": 13, "end": 18}, {"value": "55715", "start": 23, "end": 28}, {"value": "92", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 3258 and 8145, then take 57% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 3258 and 8145 is 1629. Then, 57% of the result 1629 = 57 * 1629 / 100 = 92853 / 100 = 928.53.\nresult = \"928.53\"", "target": "928.53", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (3258, 8145), 'percent_of', 57)", "intermediate": "1629", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "1629", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "3258", "start": 13, "end": 17}, {"value": "8145", "start": 22, "end": 26}, {"value": "57", "start": 38, "end": 40}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 5576 and 6970, then take 98% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 5576 and 6970 is 1394. Then, 98% of the result 1394 = 98 * 1394 / 100 = 136612 / 100 = 1366.12.\nresult = \"1366.12\"", "target": "1366.12", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (5576, 6970), 'percent_of', 98)", "intermediate": "1394", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "1394", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "5576", "start": 13, "end": 17}, {"value": "6970", "start": 22, "end": 26}, {"value": "98", "start": 38, "end": 40}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16491 and 54970, then take 74% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16491 and 54970 is 5497. Then, 74% of the result 5497 = 74 * 5497 / 100 = 406778 / 100 = 4067.78.\nresult = \"4067.78\"", "target": "4067.78", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (16491, 54970), 'percent_of', 74)", "intermediate": "5497", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "5497", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16491", "start": 13, "end": 18}, {"value": "54970", "start": 23, "end": 28}, {"value": "74", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12771 and 34056, then take 55% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12771 and 34056 is 4257. Then, 55% of the result 4257 = 55 * 4257 / 100 = 234135 / 100 = 2341.35.\nresult = \"2341.35\"", "target": "2341.35", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (12771, 34056), 'percent_of', 55)", "intermediate": "4257", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "4257", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "12771", "start": 13, "end": 18}, {"value": "34056", "start": 23, "end": 28}, {"value": "55", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 40955 and 49146, then take 27% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 40955 and 49146 is 8191. Then, 27% of the result 8191 = 27 * 8191 / 100 = 221157 / 100 = 2211.57.\nresult = \"2211.57\"", "target": "2211.57", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (40955, 49146), 'percent_of', 27)", "intermediate": "8191", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8191", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40955", "start": 13, "end": 18}, {"value": "49146", "start": 23, "end": 28}, {"value": "27", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8884 and 22210, then take 17% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8884 and 22210 is 4442. Then, 17% of the result 4442 = 17 * 4442 / 100 = 75514 / 100 = 755.14.\nresult = \"755.14\"", "target": "755.14", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (8884, 22210), 'percent_of', 17)", "intermediate": "4442", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "4442", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8884", "start": 13, "end": 17}, {"value": "22210", "start": 22, "end": 27}, {"value": "17", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 16278 and 56973, then take 30% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 16278 and 56973 is 8139. Then, 30% of the result 8139 = 30 * 8139 / 100 = 244170 / 100 = 2441.70.\nresult = \"2441.70\"", "target": "2441.70", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (16278, 56973), 'percent_of', 30)", "intermediate": "8139", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8139", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16278", "start": 13, "end": 18}, {"value": "56973", "start": 23, "end": 28}, {"value": "30", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8364 and 13940, then take 25% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8364 and 13940 is 2788. Then, 25% of the result 2788 = 25 * 2788 / 100 = 69700 / 100 = 697.00.\nresult = \"697.00\"", "target": "697.00", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (8364, 13940), 'percent_of', 25)", "intermediate": "2788", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2788", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8364", "start": 13, "end": 17}, {"value": "13940", "start": 22, "end": 27}, {"value": "25", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 12760 and 17545, then take 31% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 12760 and 17545 is 1595. Then, 31% of the result 1595 = 31 * 1595 / 100 = 49445 / 100 = 494.45.\nresult = \"494.45\"", "target": "494.45", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (12760, 17545), 'percent_of', 31)", "intermediate": "1595", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "1595", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "12760", "start": 13, "end": 18}, {"value": "17545", "start": 23, "end": 28}, {"value": "31", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 17108 and 42770, then take 68% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 17108 and 42770 is 8554. Then, 68% of the result 8554 = 68 * 8554 / 100 = 581672 / 100 = 5816.72.\nresult = \"5816.72\"", "target": "5816.72", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (17108, 42770), 'percent_of', 68)", "intermediate": "8554", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "8554", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "17108", "start": 13, "end": 18}, {"value": "42770", "start": 23, "end": 28}, {"value": "68", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 10108 and 15884, then take 71% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 10108 and 15884 is 1444. Then, 71% of the result 1444 = 71 * 1444 / 100 = 102524 / 100 = 1025.24.\nresult = \"1025.24\"", "target": "1025.24", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (10108, 15884), 'percent_of', 71)", "intermediate": "1444", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "1444", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "10108", "start": 13, "end": 18}, {"value": "15884", "start": 23, "end": 28}, {"value": "71", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 24752 and 28288, then take 23% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 24752 and 28288 is 3536. Then, 23% of the result 3536 = 23 * 3536 / 100 = 81328 / 100 = 813.28.\nresult = \"813.28\"", "target": "813.28", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (24752, 28288), 'percent_of', 23)", "intermediate": "3536", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "3536", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "24752", "start": 13, "end": 18}, {"value": "28288", "start": 23, "end": 28}, {"value": "23", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 23344 and 26262, then take 64% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 23344 and 26262 is 2918. Then, 64% of the result 2918 = 64 * 2918 / 100 = 186752 / 100 = 1867.52.\nresult = \"1867.52\"", "target": "1867.52", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (23344, 26262), 'percent_of', 64)", "intermediate": "2918", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2918", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "23344", "start": 13, "end": 18}, {"value": "26262", "start": 23, "end": 28}, {"value": "64", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 8022 and 10696, then take 6% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 8022 and 10696 is 2674. Then, 6% of the result 2674 = 6 * 2674 / 100 = 16044 / 100 = 160.44.\nresult = \"160.44\"", "target": "160.44", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (8022, 10696), 'percent_of', 6)", "intermediate": "2674", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2674", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "8022", "start": 13, "end": 17}, {"value": "10696", "start": 22, "end": 27}, {"value": "6", "start": 39, "end": 40}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply gcf to 14328 and 16716, then take 84% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The greatest common factor of 14328 and 16716 is 2388. Then, 84% of the result 2388 = 84 * 2388 / 100 = 200592 / 100 = 2005.92.\nresult = \"2005.92\"", "target": "2005.92", "fn_f": "percent_of", "fn_g": "gcf", "fn_chain": "percent_of|gcf", "input_str": "('mm', 'gcf', (14328, 16716), 'percent_of', 84)", "intermediate": "2388", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "gcf", "outer_op": "percent_of", "inter_value": "2388", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "14328", "start": 13, "end": 18}, {"value": "16716", "start": 23, "end": 28}, {"value": "84", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 110, then take 77% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 19 and 110 is 2090. Then, 77% of the result 2090 = 77 * 2090 / 100 = 160930 / 100 = 1609.30.\nresult = \"1609.30\"", "target": "1609.30", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (19, 110), 'percent_of', 77)", "intermediate": "2090", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "2090", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "19", "start": 13, "end": 15}, {"value": "110", "start": 20, "end": 23}, {"value": "77", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 143, then take 96% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 143 is 4576. Then, 96% of the result 4576 = 96 * 4576 / 100 = 439296 / 100 = 4392.96.\nresult = \"4392.96\"", "target": "4392.96", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (32, 143), 'percent_of', 96)", "intermediate": "4576", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "4576", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "32", "start": 13, "end": 15}, {"value": "143", "start": 20, "end": 23}, {"value": "96", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 27, then take 49% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 40 and 27 is 1080. Then, 49% of the result 1080 = 49 * 1080 / 100 = 52920 / 100 = 529.20.\nresult = \"529.20\"", "target": "529.20", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (40, 27), 'percent_of', 49)", "intermediate": "1080", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1080", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 13, "end": 15}, {"value": "27", "start": 20, "end": 22}, {"value": "49", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 151, then take 29% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 58 and 151 is 8758. Then, 29% of the result 8758 = 29 * 8758 / 100 = 253982 / 100 = 2539.82.\nresult = \"2539.82\"", "target": "2539.82", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (58, 151), 'percent_of', 29)", "intermediate": "8758", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "8758", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "58", "start": 13, "end": 15}, {"value": "151", "start": 20, "end": 23}, {"value": "29", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 168, then take 60% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 64 and 168 is 1344. Then, 60% of the result 1344 = 60 * 1344 / 100 = 80640 / 100 = 806.40.\nresult = \"806.40\"", "target": "806.40", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (64, 168), 'percent_of', 60)", "intermediate": "1344", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1344", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "64", "start": 13, "end": 15}, {"value": "168", "start": 20, "end": 23}, {"value": "60", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 13, then take 64% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 13 is 1209. Then, 64% of the result 1209 = 64 * 1209 / 100 = 77376 / 100 = 773.76.\nresult = \"773.76\"", "target": "773.76", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (93, 13), 'percent_of', 64)", "intermediate": "1209", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1209", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "13", "start": 20, "end": 22}, {"value": "64", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 49, then take 4% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 61 and 49 is 2989. Then, 4% of the result 2989 = 4 * 2989 / 100 = 11956 / 100 = 119.56.\nresult = \"119.56\"", "target": "119.56", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (61, 49), 'percent_of', 4)", "intermediate": "2989", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "2989", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "61", "start": 13, "end": 15}, {"value": "49", "start": 20, "end": 22}, {"value": "4", "start": 34, "end": 35}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 61, then take 79% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 81 and 61 is 4941. Then, 79% of the result 4941 = 79 * 4941 / 100 = 390339 / 100 = 3903.39.\nresult = \"3903.39\"", "target": "3903.39", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (81, 61), 'percent_of', 79)", "intermediate": "4941", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "4941", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "81", "start": 13, "end": 15}, {"value": "61", "start": 20, "end": 22}, {"value": "79", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 74, then take 72% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 74 is 1702. Then, 72% of the result 1702 = 72 * 1702 / 100 = 122544 / 100 = 1225.44.\nresult = \"1225.44\"", "target": "1225.44", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (46, 74), 'percent_of', 72)", "intermediate": "1702", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1702", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "46", "start": 13, "end": 15}, {"value": "74", "start": 20, "end": 22}, {"value": "72", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 97, then take 22% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 97 is 7663. Then, 22% of the result 7663 = 22 * 7663 / 100 = 168586 / 100 = 1685.86.\nresult = \"1685.86\"", "target": "1685.86", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (79, 97), 'percent_of', 22)", "intermediate": "7663", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "7663", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "79", "start": 13, "end": 15}, {"value": "97", "start": 20, "end": 22}, {"value": "22", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 131, then take 55% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 34 and 131 is 4454. Then, 55% of the result 4454 = 55 * 4454 / 100 = 244970 / 100 = 2449.70.\nresult = \"2449.70\"", "target": "2449.70", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (34, 131), 'percent_of', 55)", "intermediate": "4454", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "4454", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "34", "start": 13, "end": 15}, {"value": "131", "start": 20, "end": 23}, {"value": "55", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 49, then take 33% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 49 is 6958. Then, 33% of the result 6958 = 33 * 6958 / 100 = 229614 / 100 = 2296.14.\nresult = \"2296.14\"", "target": "2296.14", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (142, 49), 'percent_of', 33)", "intermediate": "6958", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "6958", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "142", "start": 13, "end": 16}, {"value": "49", "start": 21, "end": 23}, {"value": "33", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 34, then take 32% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 195 and 34 is 6630. Then, 32% of the result 6630 = 32 * 6630 / 100 = 212160 / 100 = 2121.60.\nresult = \"2121.60\"", "target": "2121.60", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (195, 34), 'percent_of', 32)", "intermediate": "6630", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "6630", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "195", "start": 13, "end": 16}, {"value": "34", "start": 21, "end": 23}, {"value": "32", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 193, then take 10% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 46 and 193 is 8878. Then, 10% of the result 8878 = 10 * 8878 / 100 = 88780 / 100 = 887.80.\nresult = \"887.80\"", "target": "887.80", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (46, 193), 'percent_of', 10)", "intermediate": "8878", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "8878", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "46", "start": 13, "end": 15}, {"value": "193", "start": 20, "end": 23}, {"value": "10", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 133, then take 87% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 16 and 133 is 2128. Then, 87% of the result 2128 = 87 * 2128 / 100 = 185136 / 100 = 1851.36.\nresult = \"1851.36\"", "target": "1851.36", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (16, 133), 'percent_of', 87)", "intermediate": "2128", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "2128", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "16", "start": 13, "end": 15}, {"value": "133", "start": 20, "end": 23}, {"value": "87", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 134, then take 55% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 18 and 134 is 1206. Then, 55% of the result 1206 = 55 * 1206 / 100 = 66330 / 100 = 663.30.\nresult = \"663.30\"", "target": "663.30", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (18, 134), 'percent_of', 55)", "intermediate": "1206", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1206", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "18", "start": 13, "end": 15}, {"value": "134", "start": 20, "end": 23}, {"value": "55", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 46, then take 59% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 199 and 46 is 9154. Then, 59% of the result 9154 = 59 * 9154 / 100 = 540086 / 100 = 5400.86.\nresult = \"5400.86\"", "target": "5400.86", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (199, 46), 'percent_of', 59)", "intermediate": "9154", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "9154", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "199", "start": 13, "end": 16}, {"value": "46", "start": 21, "end": 23}, {"value": "59", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 174 and 98, then take 47% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 174 and 98 is 8526. Then, 47% of the result 8526 = 47 * 8526 / 100 = 400722 / 100 = 4007.22.\nresult = \"4007.22\"", "target": "4007.22", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (174, 98), 'percent_of', 47)", "intermediate": "8526", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "8526", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "174", "start": 13, "end": 16}, {"value": "98", "start": 21, "end": 23}, {"value": "47", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 86, then take 90% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 99 and 86 is 8514. Then, 90% of the result 8514 = 90 * 8514 / 100 = 766260 / 100 = 7662.60.\nresult = \"7662.60\"", "target": "7662.60", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (99, 86), 'percent_of', 90)", "intermediate": "8514", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "8514", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "99", "start": 13, "end": 15}, {"value": "86", "start": 20, "end": 22}, {"value": "90", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 30, then take 78% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 123 and 30 is 1230. Then, 78% of the result 1230 = 78 * 1230 / 100 = 95940 / 100 = 959.40.\nresult = \"959.40\"", "target": "959.40", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (123, 30), 'percent_of', 78)", "intermediate": "1230", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1230", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "123", "start": 13, "end": 16}, {"value": "30", "start": 21, "end": 23}, {"value": "78", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 78, then take 37% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 142 and 78 is 5538. Then, 37% of the result 5538 = 37 * 5538 / 100 = 204906 / 100 = 2049.06.\nresult = \"2049.06\"", "target": "2049.06", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (142, 78), 'percent_of', 37)", "intermediate": "5538", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "5538", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "142", "start": 13, "end": 16}, {"value": "78", "start": 21, "end": 23}, {"value": "37", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 109 and 16, then take 98% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 109 and 16 is 1744. Then, 98% of the result 1744 = 98 * 1744 / 100 = 170912 / 100 = 1709.12.\nresult = \"1709.12\"", "target": "1709.12", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (109, 16), 'percent_of', 98)", "intermediate": "1744", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1744", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "109", "start": 13, "end": 16}, {"value": "16", "start": 21, "end": 23}, {"value": "98", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 44, then take 19% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 44 is 4092. Then, 19% of the result 4092 = 19 * 4092 / 100 = 77748 / 100 = 777.48.\nresult = \"777.48\"", "target": "777.48", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (93, 44), 'percent_of', 19)", "intermediate": "4092", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "4092", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "44", "start": 20, "end": 22}, {"value": "19", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 66, then take 20% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 139 and 66 is 9174. Then, 20% of the result 9174 = 20 * 9174 / 100 = 183480 / 100 = 1834.80.\nresult = \"1834.80\"", "target": "1834.80", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (139, 66), 'percent_of', 20)", "intermediate": "9174", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "9174", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "139", "start": 13, "end": 16}, {"value": "66", "start": 21, "end": 23}, {"value": "20", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 31 and 56, then take 37% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 31 and 56 is 1736. Then, 37% of the result 1736 = 37 * 1736 / 100 = 64232 / 100 = 642.32.\nresult = \"642.32\"", "target": "642.32", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (31, 56), 'percent_of', 37)", "intermediate": "1736", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1736", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "31", "start": 13, "end": 15}, {"value": "56", "start": 20, "end": 22}, {"value": "37", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 44, then take 97% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 138 and 44 is 3036. Then, 97% of the result 3036 = 97 * 3036 / 100 = 294492 / 100 = 2944.92.\nresult = \"2944.92\"", "target": "2944.92", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (138, 44), 'percent_of', 97)", "intermediate": "3036", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "3036", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "138", "start": 13, "end": 16}, {"value": "44", "start": 21, "end": 23}, {"value": "97", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 189, then take 63% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 32 and 189 is 6048. Then, 63% of the result 6048 = 63 * 6048 / 100 = 381024 / 100 = 3810.24.\nresult = \"3810.24\"", "target": "3810.24", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (32, 189), 'percent_of', 63)", "intermediate": "6048", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "6048", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "32", "start": 13, "end": 15}, {"value": "189", "start": 20, "end": 23}, {"value": "63", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 114, then take 43% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 112 and 114 is 6384. Then, 43% of the result 6384 = 43 * 6384 / 100 = 274512 / 100 = 2745.12.\nresult = \"2745.12\"", "target": "2745.12", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (112, 114), 'percent_of', 43)", "intermediate": "6384", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "6384", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "112", "start": 13, "end": 16}, {"value": "114", "start": 21, "end": 24}, {"value": "43", "start": 36, "end": 38}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 71 and 117, then take 85% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 71 and 117 is 8307. Then, 85% of the result 8307 = 85 * 8307 / 100 = 706095 / 100 = 7060.95.\nresult = \"7060.95\"", "target": "7060.95", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (71, 117), 'percent_of', 85)", "intermediate": "8307", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "8307", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "71", "start": 13, "end": 15}, {"value": "117", "start": 20, "end": 23}, {"value": "85", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 34, then take 33% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 90 and 34 is 1530. Then, 33% of the result 1530 = 33 * 1530 / 100 = 50490 / 100 = 504.90.\nresult = \"504.90\"", "target": "504.90", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (90, 34), 'percent_of', 33)", "intermediate": "1530", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "1530", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "90", "start": 13, "end": 15}, {"value": "34", "start": 20, "end": 22}, {"value": "33", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 17, then take 25% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 169 and 17 is 2873. Then, 25% of the result 2873 = 25 * 2873 / 100 = 71825 / 100 = 718.25.\nresult = \"718.25\"", "target": "718.25", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (169, 17), 'percent_of', 25)", "intermediate": "2873", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "2873", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "169", "start": 13, "end": 16}, {"value": "17", "start": 21, "end": 23}, {"value": "25", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 115, then take 63% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 28 and 115 is 3220. Then, 63% of the result 3220 = 63 * 3220 / 100 = 202860 / 100 = 2028.60.\nresult = \"2028.60\"", "target": "2028.60", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (28, 115), 'percent_of', 63)", "intermediate": "3220", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "3220", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "28", "start": 13, "end": 15}, {"value": "115", "start": 20, "end": 23}, {"value": "63", "start": 35, "end": 37}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 97, then take 49% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 33 and 97 is 3201. Then, 49% of the result 3201 = 49 * 3201 / 100 = 156849 / 100 = 1568.49.\nresult = \"1568.49\"", "target": "1568.49", "fn_f": "percent_of", "fn_g": "lcm", "fn_chain": "percent_of|lcm", "input_str": "('mm', 'lcm', (33, 97), 'percent_of', 49)", "intermediate": "3201", "split_id": 0, "probe_meta": {"role": "train", "inner_op": "lcm", "outer_op": "percent_of", "inter_value": "3201", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "33", "start": 13, "end": 15}, {"value": "97", "start": 20, "end": 22}, {"value": "49", "start": 34, "end": 36}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 96 and 76, then apply gcf to the result and 26448.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 96 and 76 is 1824. Then, The greatest common factor of 1824 and 26448 is 912.\nresult = \"912\"", "target": "912", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (96, 76), 'gcf', 26448)", "intermediate": "1824", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "1824", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "96", "start": 13, "end": 15}, {"value": "76", "start": 20, "end": 22}, {"value": "26448", "start": 57, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 50, then apply gcf to the result and 5250.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 51 and 50 is 2550. Then, The greatest common factor of 2550 and 5250 is 150.\nresult = \"150\"", "target": "150", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (51, 50), 'gcf', 5250)", "intermediate": "2550", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2550", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "51", "start": 13, "end": 15}, {"value": "50", "start": 20, "end": 22}, {"value": "5250", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 123, then apply gcf to the result and 154242.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 76 and 123 is 9348. Then, The greatest common factor of 9348 and 154242 is 4674.\nresult = \"4674\"", "target": "4674", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (76, 123), 'gcf', 154242)", "intermediate": "9348", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "9348", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "76", "start": 13, "end": 15}, {"value": "123", "start": 20, "end": 23}, {"value": "154242", "start": 58, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 168, then apply gcf to the result and 8372.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 78 and 168 is 2184. Then, The greatest common factor of 2184 and 8372 is 364.\nresult = \"364\"", "target": "364", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (78, 168), 'gcf', 8372)", "intermediate": "2184", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2184", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "78", "start": 13, "end": 15}, {"value": "168", "start": 20, "end": 23}, {"value": "8372", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 127, then apply gcf to the result and 13335.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 54 and 127 is 6858. Then, The greatest common factor of 6858 and 13335 is 381.\nresult = \"381\"", "target": "381", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (54, 127), 'gcf', 13335)", "intermediate": "6858", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "6858", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "54", "start": 13, "end": 15}, {"value": "127", "start": 20, "end": 23}, {"value": "13335", "start": 58, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 174, then apply gcf to the result and 4350.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 180 and 174 is 5220. Then, The greatest common factor of 5220 and 4350 is 870.\nresult = \"870\"", "target": "870", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (180, 174), 'gcf', 4350)", "intermediate": "5220", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "5220", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "180", "start": 13, "end": 16}, {"value": "174", "start": 21, "end": 24}, {"value": "4350", "start": 59, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 171, then apply gcf to the result and 558.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 171 is 5301. Then, The greatest common factor of 5301 and 558 is 279.\nresult = \"279\"", "target": "279", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (93, 171), 'gcf', 558)", "intermediate": "5301", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "5301", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "171", "start": 20, "end": 23}, {"value": "558", "start": 58, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 64, then apply gcf to the result and 3744.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 126 and 64 is 4032. Then, The greatest common factor of 4032 and 3744 is 288.\nresult = \"288\"", "target": "288", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (126, 64), 'gcf', 3744)", "intermediate": "4032", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "4032", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "126", "start": 13, "end": 16}, {"value": "64", "start": 21, "end": 23}, {"value": "3744", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 116, then apply gcf to the result and 6380.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 154 and 116 is 8932. Then, The greatest common factor of 8932 and 6380 is 1276.\nresult = \"1276\"", "target": "1276", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (154, 116), 'gcf', 6380)", "intermediate": "8932", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "8932", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "154", "start": 13, "end": 16}, {"value": "116", "start": 21, "end": 24}, {"value": "6380", "start": 59, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 78, then apply gcf to the result and 6072.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 92 and 78 is 3588. Then, The greatest common factor of 3588 and 6072 is 276.\nresult = \"276\"", "target": "276", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (92, 78), 'gcf', 6072)", "intermediate": "3588", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "3588", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "92", "start": 13, "end": 15}, {"value": "78", "start": 20, "end": 22}, {"value": "6072", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 179, then apply gcf to the result and 15036.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 24 and 179 is 4296. Then, The greatest common factor of 4296 and 15036 is 2148.\nresult = \"2148\"", "target": "2148", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (24, 179), 'gcf', 15036)", "intermediate": "4296", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "4296", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "24", "start": 13, "end": 15}, {"value": "179", "start": 20, "end": 23}, {"value": "15036", "start": 58, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 46, then apply gcf to the result and 23391.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 113 and 46 is 5198. Then, The greatest common factor of 5198 and 23391 is 2599.\nresult = \"2599\"", "target": "2599", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (113, 46), 'gcf', 23391)", "intermediate": "5198", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "5198", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "113", "start": 13, "end": 16}, {"value": "46", "start": 21, "end": 23}, {"value": "23391", "start": 58, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 51, then apply gcf to the result and 3689.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 51 is 1581. Then, The greatest common factor of 1581 and 3689 is 527.\nresult = \"527\"", "target": "527", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (93, 51), 'gcf', 3689)", "intermediate": "1581", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "1581", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "51", "start": 20, "end": 22}, {"value": "3689", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 20, then apply gcf to the result and 3224.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 20 is 1860. Then, The greatest common factor of 1860 and 3224 is 124.\nresult = \"124\"", "target": "124", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (93, 20), 'gcf', 3224)", "intermediate": "1860", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "1860", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "20", "start": 20, "end": 22}, {"value": "3224", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 24, then apply gcf to the result and 7857.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 194 and 24 is 2328. Then, The greatest common factor of 2328 and 7857 is 291.\nresult = \"291\"", "target": "291", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (194, 24), 'gcf', 7857)", "intermediate": "2328", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2328", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "194", "start": 13, "end": 16}, {"value": "24", "start": 21, "end": 23}, {"value": "7857", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 62, then apply gcf to the result and 50995.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 94 and 62 is 2914. Then, The greatest common factor of 2914 and 50995 is 1457.\nresult = \"1457\"", "target": "1457", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (94, 62), 'gcf', 50995)", "intermediate": "2914", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2914", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "94", "start": 13, "end": 15}, {"value": "62", "start": 20, "end": 22}, {"value": "50995", "start": 57, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 130, then apply gcf to the result and 11284.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 112 and 130 is 7280. Then, The greatest common factor of 7280 and 11284 is 364.\nresult = \"364\"", "target": "364", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (112, 130), 'gcf', 11284)", "intermediate": "7280", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "7280", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "112", "start": 13, "end": 16}, {"value": "130", "start": 21, "end": 24}, {"value": "11284", "start": 59, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 69, then apply gcf to the result and 2093.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 56 and 69 is 3864. Then, The greatest common factor of 3864 and 2093 is 161.\nresult = \"161\"", "target": "161", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (56, 69), 'gcf', 2093)", "intermediate": "3864", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "3864", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "56", "start": 13, "end": 15}, {"value": "69", "start": 20, "end": 22}, {"value": "2093", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 38, then apply gcf to the result and 8607.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 151 and 38 is 5738. Then, The greatest common factor of 5738 and 8607 is 2869.\nresult = \"2869\"", "target": "2869", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (151, 38), 'gcf', 8607)", "intermediate": "5738", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "5738", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "151", "start": 13, "end": 16}, {"value": "38", "start": 21, "end": 23}, {"value": "8607", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply lcm to 158 and 88, then apply gcf to the result and 100804.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 158 and 88 is 6952. Then, The greatest common factor of 6952 and 100804 is 3476.\nresult = \"3476\"", "target": "3476", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (158, 88), 'gcf', 100804)", "intermediate": "6952", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "6952", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "158", "start": 13, "end": 16}, {"value": "88", "start": 21, "end": 23}, {"value": "100804", "start": 58, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 90, then apply gcf to the result and 9750.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 195 and 90 is 1170. Then, The greatest common factor of 1170 and 9750 is 390.\nresult = \"390\"", "target": "390", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (195, 90), 'gcf', 9750)", "intermediate": "1170", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "1170", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "195", "start": 13, "end": 16}, {"value": "90", "start": 21, "end": 23}, {"value": "9750", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 22, then apply gcf to the result and 25575.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 93 and 22 is 2046. Then, The greatest common factor of 2046 and 25575 is 1023.\nresult = \"1023\"", "target": "1023", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (93, 22), 'gcf', 25575)", "intermediate": "2046", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2046", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 13, "end": 15}, {"value": "22", "start": 20, "end": 22}, {"value": "25575", "start": 57, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 81, then apply gcf to the result and 7695.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 105 and 81 is 2835. Then, The greatest common factor of 2835 and 7695 is 405.\nresult = \"405\"", "target": "405", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (105, 81), 'gcf', 7695)", "intermediate": "2835", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2835", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "105", "start": 13, "end": 16}, {"value": "81", "start": 21, "end": 23}, {"value": "7695", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 32, then apply gcf to the result and 2562.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 61 and 32 is 1952. Then, The greatest common factor of 1952 and 2562 is 122.\nresult = \"122\"", "target": "122", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (61, 32), 'gcf', 2562)", "intermediate": "1952", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "1952", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "61", "start": 13, "end": 15}, {"value": "32", "start": 20, "end": 22}, {"value": "2562", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 129, then apply gcf to the result and 7740.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 56 and 129 is 7224. Then, The greatest common factor of 7224 and 7740 is 516.\nresult = \"516\"", "target": "516", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (56, 129), 'gcf', 7740)", "intermediate": "7224", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "7224", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "56", "start": 13, "end": 15}, {"value": "129", "start": 20, "end": 23}, {"value": "7740", "start": 58, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 52, then apply gcf to the result and 66430.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 73 and 52 is 3796. Then, The greatest common factor of 3796 and 66430 is 1898.\nresult = \"1898\"", "target": "1898", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (73, 52), 'gcf', 66430)", "intermediate": "3796", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "3796", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "73", "start": 13, "end": 15}, {"value": "52", "start": 20, "end": 22}, {"value": "66430", "start": 57, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 161, then apply gcf to the result and 4255.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 105 and 161 is 2415. Then, The greatest common factor of 2415 and 4255 is 115.\nresult = \"115\"", "target": "115", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (105, 161), 'gcf', 4255)", "intermediate": "2415", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2415", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "105", "start": 13, "end": 16}, {"value": "161", "start": 21, "end": 24}, {"value": "4255", "start": 59, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 1980.\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 1980 is 132.\nresult = \"132\"", "target": "132", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (48, 77), 'gcf', 1980)", "intermediate": "3696", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "3696", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "48", "start": 13, "end": 15}, {"value": "77", "start": 20, "end": 22}, {"value": "1980", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 45, then apply gcf to the result and 8058.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 79 and 45 is 3555. Then, The greatest common factor of 3555 and 8058 is 237.\nresult = \"237\"", "target": "237", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (79, 45), 'gcf', 8058)", "intermediate": "3555", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "3555", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "79", "start": 13, "end": 15}, {"value": "45", "start": 20, "end": 22}, {"value": "8058", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 98, then apply gcf to the result and 4697.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 61 and 98 is 5978. Then, The greatest common factor of 5978 and 4697 is 427.\nresult = \"427\"", "target": "427", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (61, 98), 'gcf', 4697)", "intermediate": "5978", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "5978", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "61", "start": 13, "end": 15}, {"value": "98", "start": 20, "end": 22}, {"value": "4697", "start": 57, "end": 61}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 134, then apply gcf to the result and 59228.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 102 and 134 is 6834. Then, The greatest common factor of 6834 and 59228 is 2278.\nresult = \"2278\"", "target": "2278", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (102, 134), 'gcf', 59228)", "intermediate": "6834", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "6834", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "102", "start": 13, "end": 16}, {"value": "134", "start": 21, "end": 24}, {"value": "59228", "start": 59, "end": 64}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 96, then apply gcf to the result and 37200.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 25 and 96 is 2400. Then, The greatest common factor of 2400 and 37200 is 1200.\nresult = \"1200\"", "target": "1200", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (25, 96), 'gcf', 37200)", "intermediate": "2400", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "2400", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 13, "end": 15}, {"value": "96", "start": 20, "end": 22}, {"value": "37200", "start": 57, "end": 62}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 199, then apply gcf to the result and 69252.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "The least common multiple of 36 and 199 is 7164. Then, The greatest common factor of 7164 and 69252 is 2388.\nresult = \"2388\"", "target": "2388", "fn_f": "gcf", "fn_g": "lcm", "fn_chain": "gcf|lcm", "input_str": "('mm', 'lcm', (36, 199), 'gcf', 69252)", "intermediate": "7164", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "lcm", "outer_op": "gcf", "inter_value": "7164", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "36", "start": 13, "end": 15}, {"value": "199", "start": 20, "end": 23}, {"value": "69252", "start": 58, "end": 63}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 50 and 2344 (compute 50% of 2344), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "50% of 2344 = 50 * 2344 / 100 = 117200 / 100 = 1172. Then, Multiply the result 1172 by 3: 1172 * 3 = 3516.\nresult = \"3516\"", "target": "3516", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (50, 2344), 'multiply', 3)", "intermediate": "1172", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1172", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "50", "start": 20, "end": 22}, {"value": "2344", "start": 27, "end": 31}, {"value": "50", "start": 41, "end": 43}, {"value": "2344", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 75 and 1652 (compute 75% of 1652), then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "75% of 1652 = 75 * 1652 / 100 = 123900 / 100 = 1239. Then, Multiply the result 1239 by 4: 1239 * 4 = 4956.\nresult = \"4956\"", "target": "4956", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (75, 1652), 'multiply', 4)", "intermediate": "1239", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1239", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "75", "start": 20, "end": 22}, {"value": "1652", "start": 27, "end": 31}, {"value": "75", "start": 41, "end": 43}, {"value": "1652", "start": 48, "end": 52}, {"value": "4", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 80 and 4115 (compute 80% of 4115), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "80% of 4115 = 80 * 4115 / 100 = 329200 / 100 = 3292. Then, Multiply the result 3292 by 3: 3292 * 3 = 9876.\nresult = \"9876\"", "target": "9876", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (80, 4115), 'multiply', 3)", "intermediate": "3292", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3292", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "80", "start": 20, "end": 22}, {"value": "4115", "start": 27, "end": 31}, {"value": "80", "start": 41, "end": 43}, {"value": "4115", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 41 and 9800 (compute 41% of 9800), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "41% of 9800 = 41 * 9800 / 100 = 401800 / 100 = 4018. Then, Multiply the result 4018 by 2: 4018 * 2 = 8036.\nresult = \"8036\"", "target": "8036", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (41, 9800), 'multiply', 2)", "intermediate": "4018", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "4018", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "41", "start": 20, "end": 22}, {"value": "9800", "start": 27, "end": 31}, {"value": "41", "start": 41, "end": 43}, {"value": "9800", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 90 and 3480 (compute 90% of 3480), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "90% of 3480 = 90 * 3480 / 100 = 313200 / 100 = 3132. Then, Multiply the result 3132 by 3: 3132 * 3 = 9396.\nresult = \"9396\"", "target": "9396", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (90, 3480), 'multiply', 3)", "intermediate": "3132", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3132", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "90", "start": 20, "end": 22}, {"value": "3480", "start": 27, "end": 31}, {"value": "90", "start": 41, "end": 43}, {"value": "3480", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 48 and 2475 (compute 48% of 2475), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "48% of 2475 = 48 * 2475 / 100 = 118800 / 100 = 1188. Then, Multiply the result 1188 by 2: 1188 * 2 = 2376.\nresult = \"2376\"", "target": "2376", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (48, 2475), 'multiply', 2)", "intermediate": "1188", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1188", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "48", "start": 20, "end": 22}, {"value": "2475", "start": 27, "end": 31}, {"value": "48", "start": 41, "end": 43}, {"value": "2475", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 84 and 3575 (compute 84% of 3575), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "84% of 3575 = 84 * 3575 / 100 = 300300 / 100 = 3003. Then, Multiply the result 3003 by 2: 3003 * 2 = 6006.\nresult = \"6006\"", "target": "6006", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (84, 3575), 'multiply', 2)", "intermediate": "3003", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3003", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "84", "start": 20, "end": 22}, {"value": "3575", "start": 27, "end": 31}, {"value": "84", "start": 41, "end": 43}, {"value": "3575", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 26 and 4250 (compute 26% of 4250), then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "26% of 4250 = 26 * 4250 / 100 = 110500 / 100 = 1105. Then, Multiply the result 1105 by 8: 1105 * 8 = 8840.\nresult = \"8840\"", "target": "8840", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (26, 4250), 'multiply', 8)", "intermediate": "1105", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1105", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "26", "start": 20, "end": 22}, {"value": "4250", "start": 27, "end": 31}, {"value": "26", "start": 41, "end": 43}, {"value": "4250", "start": 48, "end": 52}, {"value": "8", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 75 and 4896 (compute 75% of 4896), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "75% of 4896 = 75 * 4896 / 100 = 367200 / 100 = 3672. Then, Multiply the result 3672 by 2: 3672 * 2 = 7344.\nresult = \"7344\"", "target": "7344", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (75, 4896), 'multiply', 2)", "intermediate": "3672", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3672", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "75", "start": 20, "end": 22}, {"value": "4896", "start": 27, "end": 31}, {"value": "75", "start": 41, "end": 43}, {"value": "4896", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 25 and 8788 (compute 25% of 8788), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "25% of 8788 = 25 * 8788 / 100 = 219700 / 100 = 2197. Then, Multiply the result 2197 by 2: 2197 * 2 = 4394.\nresult = \"4394\"", "target": "4394", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (25, 8788), 'multiply', 2)", "intermediate": "2197", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2197", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 20, "end": 22}, {"value": "8788", "start": 27, "end": 31}, {"value": "25", "start": 41, "end": 43}, {"value": "8788", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 84 and 1875 (compute 84% of 1875), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "84% of 1875 = 84 * 1875 / 100 = 157500 / 100 = 1575. Then, Multiply the result 1575 by 3: 1575 * 3 = 4725.\nresult = \"4725\"", "target": "4725", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (84, 1875), 'multiply', 3)", "intermediate": "1575", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1575", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "84", "start": 20, "end": 22}, {"value": "1875", "start": 27, "end": 31}, {"value": "84", "start": 41, "end": 43}, {"value": "1875", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 27 and 6700 (compute 27% of 6700), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "27% of 6700 = 27 * 6700 / 100 = 180900 / 100 = 1809. Then, Multiply the result 1809 by 2: 1809 * 2 = 3618.\nresult = \"3618\"", "target": "3618", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (27, 6700), 'multiply', 2)", "intermediate": "1809", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1809", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "27", "start": 20, "end": 22}, {"value": "6700", "start": 27, "end": 31}, {"value": "27", "start": 41, "end": 43}, {"value": "6700", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 75 and 2880 (compute 75% of 2880), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "75% of 2880 = 75 * 2880 / 100 = 216000 / 100 = 2160. Then, Multiply the result 2160 by 2: 2160 * 2 = 4320.\nresult = \"4320\"", "target": "4320", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (75, 2880), 'multiply', 2)", "intermediate": "2160", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2160", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "75", "start": 20, "end": 22}, {"value": "2880", "start": 27, "end": 31}, {"value": "75", "start": 41, "end": 43}, {"value": "2880", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 48 and 6225 (compute 48% of 6225), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "48% of 6225 = 48 * 6225 / 100 = 298800 / 100 = 2988. Then, Multiply the result 2988 by 3: 2988 * 3 = 8964.\nresult = \"8964\"", "target": "8964", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (48, 6225), 'multiply', 3)", "intermediate": "2988", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2988", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "48", "start": 20, "end": 22}, {"value": "6225", "start": 27, "end": 31}, {"value": "48", "start": 41, "end": 43}, {"value": "6225", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 70 and 1550 (compute 70% of 1550), then apply multiply to the result and 8.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "70% of 1550 = 70 * 1550 / 100 = 108500 / 100 = 1085. Then, Multiply the result 1085 by 8: 1085 * 8 = 8680.\nresult = \"8680\"", "target": "8680", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (70, 1550), 'multiply', 8)", "intermediate": "1085", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1085", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "70", "start": 20, "end": 22}, {"value": "1550", "start": 27, "end": 31}, {"value": "70", "start": 41, "end": 43}, {"value": "1550", "start": 48, "end": 52}, {"value": "8", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 15 and 7100 (compute 15% of 7100), then apply multiply to the result and 7.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "15% of 7100 = 15 * 7100 / 100 = 106500 / 100 = 1065. Then, Multiply the result 1065 by 7: 1065 * 7 = 7455.\nresult = \"7455\"", "target": "7455", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (15, 7100), 'multiply', 7)", "intermediate": "1065", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1065", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15", "start": 20, "end": 22}, {"value": "7100", "start": 27, "end": 31}, {"value": "15", "start": 41, "end": 43}, {"value": "7100", "start": 48, "end": 52}, {"value": "7", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 34 and 7100 (compute 34% of 7100), then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "34% of 7100 = 34 * 7100 / 100 = 241400 / 100 = 2414. Then, Multiply the result 2414 by 4: 2414 * 4 = 9656.\nresult = \"9656\"", "target": "9656", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (34, 7100), 'multiply', 4)", "intermediate": "2414", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2414", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "34", "start": 20, "end": 22}, {"value": "7100", "start": 27, "end": 31}, {"value": "34", "start": 41, "end": 43}, {"value": "7100", "start": 48, "end": 52}, {"value": "4", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 24 and 6850 (compute 24% of 6850), then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "24% of 6850 = 24 * 6850 / 100 = 164400 / 100 = 1644. Then, Multiply the result 1644 by 6: 1644 * 6 = 9864.\nresult = \"9864\"", "target": "9864", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (24, 6850), 'multiply', 6)", "intermediate": "1644", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1644", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "24", "start": 20, "end": 22}, {"value": "6850", "start": 27, "end": 31}, {"value": "24", "start": 41, "end": 43}, {"value": "6850", "start": 48, "end": 52}, {"value": "6", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 42 and 4950 (compute 42% of 4950), then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "42% of 4950 = 42 * 4950 / 100 = 207900 / 100 = 2079. Then, Multiply the result 2079 by 4: 2079 * 4 = 8316.\nresult = \"8316\"", "target": "8316", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (42, 4950), 'multiply', 4)", "intermediate": "2079", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2079", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "42", "start": 20, "end": 22}, {"value": "4950", "start": 27, "end": 31}, {"value": "42", "start": 41, "end": 43}, {"value": "4950", "start": 48, "end": 52}, {"value": "4", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 42 and 4650 (compute 42% of 4650), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "42% of 4650 = 42 * 4650 / 100 = 195300 / 100 = 1953. Then, Multiply the result 1953 by 2: 1953 * 2 = 3906.\nresult = \"3906\"", "target": "3906", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (42, 4650), 'multiply', 2)", "intermediate": "1953", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1953", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "42", "start": 20, "end": 22}, {"value": "4650", "start": 27, "end": 31}, {"value": "42", "start": 41, "end": 43}, {"value": "4650", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 25 and 9456 (compute 25% of 9456), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "25% of 9456 = 25 * 9456 / 100 = 236400 / 100 = 2364. Then, Multiply the result 2364 by 3: 2364 * 3 = 7092.\nresult = \"7092\"", "target": "7092", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (25, 9456), 'multiply', 3)", "intermediate": "2364", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2364", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 20, "end": 22}, {"value": "9456", "start": 27, "end": 31}, {"value": "25", "start": 41, "end": 43}, {"value": "9456", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 95 and 1740 (compute 95% of 1740), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "95% of 1740 = 95 * 1740 / 100 = 165300 / 100 = 1653. Then, Multiply the result 1653 by 2: 1653 * 2 = 3306.\nresult = \"3306\"", "target": "3306", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (95, 1740), 'multiply', 2)", "intermediate": "1653", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1653", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "95", "start": 20, "end": 22}, {"value": "1740", "start": 27, "end": 31}, {"value": "95", "start": 41, "end": 43}, {"value": "1740", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 8585 (compute 40% of 8585), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 8585 = 40 * 8585 / 100 = 343400 / 100 = 3434. Then, Multiply the result 3434 by 2: 3434 * 2 = 6868.\nresult = \"6868\"", "target": "6868", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (40, 8585), 'multiply', 2)", "intermediate": "3434", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3434", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "8585", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "8585", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 30 and 9020 (compute 30% of 9020), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "30% of 9020 = 30 * 9020 / 100 = 270600 / 100 = 2706. Then, Multiply the result 2706 by 2: 2706 * 2 = 5412.\nresult = \"5412\"", "target": "5412", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (30, 9020), 'multiply', 2)", "intermediate": "2706", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2706", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30", "start": 20, "end": 22}, {"value": "9020", "start": 27, "end": 31}, {"value": "30", "start": 41, "end": 43}, {"value": "9020", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 30 and 6130 (compute 30% of 6130), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "30% of 6130 = 30 * 6130 / 100 = 183900 / 100 = 1839. Then, Multiply the result 1839 by 2: 1839 * 2 = 3678.\nresult = \"3678\"", "target": "3678", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (30, 6130), 'multiply', 2)", "intermediate": "1839", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1839", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30", "start": 20, "end": 22}, {"value": "6130", "start": 27, "end": 31}, {"value": "30", "start": 41, "end": 43}, {"value": "6130", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 55 and 7600 (compute 55% of 7600), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "55% of 7600 = 55 * 7600 / 100 = 418000 / 100 = 4180. Then, Multiply the result 4180 by 2: 4180 * 2 = 8360.\nresult = \"8360\"", "target": "8360", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (55, 7600), 'multiply', 2)", "intermediate": "4180", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "4180", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "55", "start": 20, "end": 22}, {"value": "7600", "start": 27, "end": 31}, {"value": "55", "start": 41, "end": 43}, {"value": "7600", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 6985 (compute 40% of 6985), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 6985 = 40 * 6985 / 100 = 279400 / 100 = 2794. Then, Multiply the result 2794 by 3: 2794 * 3 = 8382.\nresult = \"8382\"", "target": "8382", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (40, 6985), 'multiply', 3)", "intermediate": "2794", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2794", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "6985", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "6985", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 76 and 1425 (compute 76% of 1425), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "76% of 1425 = 76 * 1425 / 100 = 108300 / 100 = 1083. Then, Multiply the result 1083 by 3: 1083 * 3 = 3249.\nresult = \"3249\"", "target": "3249", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (76, 1425), 'multiply', 3)", "intermediate": "1083", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1083", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "76", "start": 20, "end": 22}, {"value": "1425", "start": 27, "end": 31}, {"value": "76", "start": 41, "end": 43}, {"value": "1425", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 25 and 6032 (compute 25% of 6032), then apply multiply to the result and 3.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "25% of 6032 = 25 * 6032 / 100 = 150800 / 100 = 1508. Then, Multiply the result 1508 by 3: 1508 * 3 = 4524.\nresult = \"4524\"", "target": "4524", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (25, 6032), 'multiply', 3)", "intermediate": "1508", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1508", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "25", "start": 20, "end": 22}, {"value": "6032", "start": 27, "end": 31}, {"value": "25", "start": 41, "end": 43}, {"value": "6032", "start": 48, "end": 52}, {"value": "3", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 40 and 9865 (compute 40% of 9865), then apply multiply to the result and 2.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "40% of 9865 = 40 * 9865 / 100 = 394600 / 100 = 3946. Then, Multiply the result 3946 by 2: 3946 * 2 = 7892.\nresult = \"7892\"", "target": "7892", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (40, 9865), 'multiply', 2)", "intermediate": "3946", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "3946", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "40", "start": 20, "end": 22}, {"value": "9865", "start": 27, "end": 31}, {"value": "40", "start": 41, "end": 43}, {"value": "9865", "start": 48, "end": 52}, {"value": "2", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 20 and 5130 (compute 20% of 5130), then apply multiply to the result and 6.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "20% of 5130 = 20 * 5130 / 100 = 102600 / 100 = 1026. Then, Multiply the result 1026 by 6: 1026 * 6 = 6156.\nresult = \"6156\"", "target": "6156", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (20, 5130), 'multiply', 6)", "intermediate": "1026", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1026", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "20", "start": 20, "end": 22}, {"value": "5130", "start": 27, "end": 31}, {"value": "20", "start": 41, "end": 43}, {"value": "5130", "start": 48, "end": 52}, {"value": "6", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 70 and 3040 (compute 70% of 3040), then apply multiply to the result and 4.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "70% of 3040 = 70 * 3040 / 100 = 212800 / 100 = 2128. Then, Multiply the result 2128 by 4: 2128 * 4 = 8512.\nresult = \"8512\"", "target": "8512", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (70, 3040), 'multiply', 4)", "intermediate": "2128", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "2128", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "70", "start": 20, "end": 22}, {"value": "3040", "start": 27, "end": 31}, {"value": "70", "start": 41, "end": 43}, {"value": "3040", "start": 48, "end": 52}, {"value": "4", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply percent_of to 88 and 2200 (compute 88% of 2200), then apply multiply to the result and 5.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "88% of 2200 = 88 * 2200 / 100 = 193600 / 100 = 1936. Then, Multiply the result 1936 by 5: 1936 * 5 = 9680.\nresult = \"9680\"", "target": "9680", "fn_f": "multiply", "fn_g": "percent_of", "fn_chain": "multiply|percent_of", "input_str": "('mm', 'percent_of', (88, 2200), 'multiply', 5)", "intermediate": "1936", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "percent_of", "outer_op": "multiply", "inter_value": "1936", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "88", "start": 20, "end": 22}, {"value": "2200", "start": 27, "end": 31}, {"value": "88", "start": 41, "end": 43}, {"value": "2200", "start": 48, "end": 52}, {"value": "5", "start": 93, "end": 94}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 152 and 14, then take 89% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 152 by 14: 152 * 14 = 2128. Then, 89% of the result 2128 = 89 * 2128 / 100 = 189392 / 100 = 1893.92.\nresult = \"1893.92\"", "target": "1893.92", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (152, 14), 'percent_of', 89)", "intermediate": "2128", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2128", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "152", "start": 18, "end": 21}, {"value": "14", "start": 26, "end": 28}, {"value": "89", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 58, then take 76% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 99 by 58: 99 * 58 = 5742. Then, 76% of the result 5742 = 76 * 5742 / 100 = 436392 / 100 = 4363.92.\nresult = \"4363.92\"", "target": "4363.92", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (99, 58), 'percent_of', 76)", "intermediate": "5742", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5742", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "99", "start": 18, "end": 20}, {"value": "58", "start": 25, "end": 27}, {"value": "76", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 40, then take 37% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 103 by 40: 103 * 40 = 4120. Then, 37% of the result 4120 = 37 * 4120 / 100 = 152440 / 100 = 1524.40.\nresult = \"1524.40\"", "target": "1524.40", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (103, 40), 'percent_of', 37)", "intermediate": "4120", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "4120", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "103", "start": 18, "end": 21}, {"value": "40", "start": 26, "end": 28}, {"value": "37", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 91, then take 78% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 28 by 91: 28 * 91 = 2548. Then, 78% of the result 2548 = 78 * 2548 / 100 = 198744 / 100 = 1987.44.\nresult = \"1987.44\"", "target": "1987.44", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (28, 91), 'percent_of', 78)", "intermediate": "2548", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2548", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "28", "start": 18, "end": 20}, {"value": "91", "start": 25, "end": 27}, {"value": "78", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 137 and 65, then take 92% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 137 by 65: 137 * 65 = 8905. Then, 92% of the result 8905 = 92 * 8905 / 100 = 819260 / 100 = 8192.60.\nresult = \"8192.60\"", "target": "8192.60", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (137, 65), 'percent_of', 92)", "intermediate": "8905", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "8905", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "137", "start": 18, "end": 21}, {"value": "65", "start": 26, "end": 28}, {"value": "92", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 44, then take 81% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 118 by 44: 118 * 44 = 5192. Then, 81% of the result 5192 = 81 * 5192 / 100 = 420552 / 100 = 4205.52.\nresult = \"4205.52\"", "target": "4205.52", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (118, 44), 'percent_of', 81)", "intermediate": "5192", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5192", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "118", "start": 18, "end": 21}, {"value": "44", "start": 26, "end": 28}, {"value": "81", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 169, then take 22% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 12 by 169: 12 * 169 = 2028. Then, 22% of the result 2028 = 22 * 2028 / 100 = 44616 / 100 = 446.16.\nresult = \"446.16\"", "target": "446.16", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (12, 169), 'percent_of', 22)", "intermediate": "2028", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2028", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "12", "start": 18, "end": 20}, {"value": "169", "start": 25, "end": 28}, {"value": "22", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 84, then take 8% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 110 by 84: 110 * 84 = 9240. Then, 8% of the result 9240 = 8 * 9240 / 100 = 73920 / 100 = 739.20.\nresult = \"739.20\"", "target": "739.20", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (110, 84), 'percent_of', 8)", "intermediate": "9240", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "9240", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "110", "start": 18, "end": 21}, {"value": "84", "start": 26, "end": 28}, {"value": "8", "start": 40, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 88, then take 55% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 86 by 88: 86 * 88 = 7568. Then, 55% of the result 7568 = 55 * 7568 / 100 = 416240 / 100 = 4162.40.\nresult = \"4162.40\"", "target": "4162.40", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (86, 88), 'percent_of', 55)", "intermediate": "7568", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "7568", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "86", "start": 18, "end": 20}, {"value": "88", "start": 25, "end": 27}, {"value": "55", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 80, then take 28% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 82 by 80: 82 * 80 = 6560. Then, 28% of the result 6560 = 28 * 6560 / 100 = 183680 / 100 = 1836.80.\nresult = \"1836.80\"", "target": "1836.80", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (82, 80), 'percent_of', 28)", "intermediate": "6560", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "6560", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "82", "start": 18, "end": 20}, {"value": "80", "start": 25, "end": 27}, {"value": "28", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 161, then take 59% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 46 by 161: 46 * 161 = 7406. Then, 59% of the result 7406 = 59 * 7406 / 100 = 436954 / 100 = 4369.54.\nresult = \"4369.54\"", "target": "4369.54", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (46, 161), 'percent_of', 59)", "intermediate": "7406", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "7406", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "46", "start": 18, "end": 20}, {"value": "161", "start": 25, "end": 28}, {"value": "59", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 41, then take 25% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 134 by 41: 134 * 41 = 5494. Then, 25% of the result 5494 = 25 * 5494 / 100 = 137350 / 100 = 1373.50.\nresult = \"1373.50\"", "target": "1373.50", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (134, 41), 'percent_of', 25)", "intermediate": "5494", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5494", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "134", "start": 18, "end": 21}, {"value": "41", "start": 26, "end": 28}, {"value": "25", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 85 and 97, then take 68% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 85 by 97: 85 * 97 = 8245. Then, 68% of the result 8245 = 68 * 8245 / 100 = 560660 / 100 = 5606.60.\nresult = \"5606.60\"", "target": "5606.60", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (85, 97), 'percent_of', 68)", "intermediate": "8245", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "8245", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "85", "start": 18, "end": 20}, {"value": "97", "start": 25, "end": 27}, {"value": "68", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 97, then take 47% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 20 by 97: 20 * 97 = 1940. Then, 47% of the result 1940 = 47 * 1940 / 100 = 91180 / 100 = 911.80.\nresult = \"911.80\"", "target": "911.80", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (20, 97), 'percent_of', 47)", "intermediate": "1940", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1940", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "20", "start": 18, "end": 20}, {"value": "97", "start": 25, "end": 27}, {"value": "47", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 45, then take 47% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 136 by 45: 136 * 45 = 6120. Then, 47% of the result 6120 = 47 * 6120 / 100 = 287640 / 100 = 2876.40.\nresult = \"2876.40\"", "target": "2876.40", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (136, 45), 'percent_of', 47)", "intermediate": "6120", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "6120", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "136", "start": 18, "end": 21}, {"value": "45", "start": 26, "end": 28}, {"value": "47", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 149, then take 60% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 30 by 149: 30 * 149 = 4470. Then, 60% of the result 4470 = 60 * 4470 / 100 = 268200 / 100 = 2682.00.\nresult = \"2682.00\"", "target": "2682.00", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (30, 149), 'percent_of', 60)", "intermediate": "4470", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "4470", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "30", "start": 18, "end": 20}, {"value": "149", "start": 25, "end": 28}, {"value": "60", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 44, then take 6% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 53 by 44: 53 * 44 = 2332. Then, 6% of the result 2332 = 6 * 2332 / 100 = 13992 / 100 = 139.92.\nresult = \"139.92\"", "target": "139.92", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (53, 44), 'percent_of', 6)", "intermediate": "2332", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2332", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "53", "start": 18, "end": 20}, {"value": "44", "start": 25, "end": 27}, {"value": "6", "start": 39, "end": 40}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 180, then take 35% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 27 by 180: 27 * 180 = 4860. Then, 35% of the result 4860 = 35 * 4860 / 100 = 170100 / 100 = 1701.00.\nresult = \"1701.00\"", "target": "1701.00", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (27, 180), 'percent_of', 35)", "intermediate": "4860", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "4860", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "27", "start": 18, "end": 20}, {"value": "180", "start": 25, "end": 28}, {"value": "35", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 66, then take 98% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 82 by 66: 82 * 66 = 5412. Then, 98% of the result 5412 = 98 * 5412 / 100 = 530376 / 100 = 5303.76.\nresult = \"5303.76\"", "target": "5303.76", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (82, 66), 'percent_of', 98)", "intermediate": "5412", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5412", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "82", "start": 18, "end": 20}, {"value": "66", "start": 25, "end": 27}, {"value": "98", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 186 and 53, then take 94% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 186 by 53: 186 * 53 = 9858. Then, 94% of the result 9858 = 94 * 9858 / 100 = 926652 / 100 = 9266.52.\nresult = \"9266.52\"", "target": "9266.52", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (186, 53), 'percent_of', 94)", "intermediate": "9858", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "9858", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "186", "start": 18, "end": 21}, {"value": "53", "start": 26, "end": 28}, {"value": "94", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 71, then take 73% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 53 by 71: 53 * 71 = 3763. Then, 73% of the result 3763 = 73 * 3763 / 100 = 274699 / 100 = 2746.99.\nresult = \"2746.99\"", "target": "2746.99", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (53, 71), 'percent_of', 73)", "intermediate": "3763", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "3763", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "53", "start": 18, "end": 20}, {"value": "71", "start": 25, "end": 27}, {"value": "73", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 20, then take 91% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 93 by 20: 93 * 20 = 1860. Then, 91% of the result 1860 = 91 * 1860 / 100 = 169260 / 100 = 1692.60.\nresult = \"1692.60\"", "target": "1692.60", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (93, 20), 'percent_of', 91)", "intermediate": "1860", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1860", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "93", "start": 18, "end": 20}, {"value": "20", "start": 25, "end": 27}, {"value": "91", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 85 and 12, then take 75% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 85 by 12: 85 * 12 = 1020. Then, 75% of the result 1020 = 75 * 1020 / 100 = 76500 / 100 = 765.00.\nresult = \"765.00\"", "target": "765.00", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (85, 12), 'percent_of', 75)", "intermediate": "1020", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1020", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "85", "start": 18, "end": 20}, {"value": "12", "start": 25, "end": 27}, {"value": "75", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply multiply to 154 and 26, then take 5% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 154 by 26: 154 * 26 = 4004. Then, 5% of the result 4004 = 5 * 4004 / 100 = 20020 / 100 = 200.20.\nresult = \"200.20\"", "target": "200.20", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (154, 26), 'percent_of', 5)", "intermediate": "4004", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "4004", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "154", "start": 18, "end": 21}, {"value": "26", "start": 26, "end": 28}, {"value": "5", "start": 40, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 18, then take 43% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 161 by 18: 161 * 18 = 2898. Then, 43% of the result 2898 = 43 * 2898 / 100 = 124614 / 100 = 1246.14.\nresult = \"1246.14\"", "target": "1246.14", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (161, 18), 'percent_of', 43)", "intermediate": "2898", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2898", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "161", "start": 18, "end": 21}, {"value": "18", "start": 26, "end": 28}, {"value": "43", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 109, then take 22% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 15 by 109: 15 * 109 = 1635. Then, 22% of the result 1635 = 22 * 1635 / 100 = 35970 / 100 = 359.70.\nresult = \"359.70\"", "target": "359.70", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (15, 109), 'percent_of', 22)", "intermediate": "1635", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1635", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "15", "start": 18, "end": 20}, {"value": "109", "start": 25, "end": 28}, {"value": "22", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 107, then take 83% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 52 by 107: 52 * 107 = 5564. Then, 83% of the result 5564 = 83 * 5564 / 100 = 461812 / 100 = 4618.12.\nresult = \"4618.12\"", "target": "4618.12", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (52, 107), 'percent_of', 83)", "intermediate": "5564", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5564", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "52", "start": 18, "end": 20}, {"value": "107", "start": 25, "end": 28}, {"value": "83", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 30, then take 78% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 103 by 30: 103 * 30 = 3090. Then, 78% of the result 3090 = 78 * 3090 / 100 = 241020 / 100 = 2410.20.\nresult = \"2410.20\"", "target": "2410.20", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (103, 30), 'percent_of', 78)", "intermediate": "3090", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "3090", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "103", "start": 18, "end": 21}, {"value": "30", "start": 26, "end": 28}, {"value": "78", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 97, then take 56% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 60 by 97: 60 * 97 = 5820. Then, 56% of the result 5820 = 56 * 5820 / 100 = 325920 / 100 = 3259.20.\nresult = \"3259.20\"", "target": "3259.20", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (60, 97), 'percent_of', 56)", "intermediate": "5820", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "5820", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "60", "start": 18, "end": 20}, {"value": "97", "start": 25, "end": 27}, {"value": "56", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 178, then take 78% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 13 by 178: 13 * 178 = 2314. Then, 78% of the result 2314 = 78 * 2314 / 100 = 180492 / 100 = 1804.92.\nresult = \"1804.92\"", "target": "1804.92", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (13, 178), 'percent_of', 78)", "intermediate": "2314", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2314", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "13", "start": 18, "end": 20}, {"value": "178", "start": 25, "end": 28}, {"value": "78", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 83, then take 93% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 36 by 83: 36 * 83 = 2988. Then, 93% of the result 2988 = 93 * 2988 / 100 = 277884 / 100 = 2778.84.\nresult = \"2778.84\"", "target": "2778.84", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (36, 83), 'percent_of', 93)", "intermediate": "2988", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "2988", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "36", "start": 18, "end": 20}, {"value": "83", "start": 25, "end": 27}, {"value": "93", "start": 39, "end": 41}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 14, then take 79% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 112 by 14: 112 * 14 = 1568. Then, 79% of the result 1568 = 79 * 1568 / 100 = 123872 / 100 = 1238.72.\nresult = \"1238.72\"", "target": "1238.72", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (112, 14), 'percent_of', 79)", "intermediate": "1568", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1568", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "112", "start": 18, "end": 21}, {"value": "14", "start": 26, "end": 28}, {"value": "79", "start": 40, "end": 42}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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 29, then take 48% of the result.\nShow your working, then end with:\nresult = \"<...>\""}], "completion": "Multiply 50 by 29: 50 * 29 = 1450. Then, 48% of the result 1450 = 48 * 1450 / 100 = 69600 / 100 = 696.00.\nresult = \"696.00\"", "target": "696.00", "fn_f": "percent_of", "fn_g": "multiply", "fn_chain": "percent_of|multiply", "input_str": "('mm', 'multiply', (50, 29), 'percent_of', 48)", "intermediate": "1450", "split_id": 0, "probe_meta": {"role": "heldout", "inner_op": "multiply", "outer_op": "percent_of", "inter_value": "1450", "inter_ndigits": 4, "numeric_spans_in_user": [{"value": "50", "start": 18, "end": 20}, {"value": "29", "start": 25, "end": 27}, {"value": "48", "start": 39, "end": 41}]}}