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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5148\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5940\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9398\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6633\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8320\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5074\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7452\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7884\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7701\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5289\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1127\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5145\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1560\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5160\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7068\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9072\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6888\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3666\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2032\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3038\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1408\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1794\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1952\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2214\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2436\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1932\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4896\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1596\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1672\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1775\"\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}, {"value": "1", "start": 104, "end": 105}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4810\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2667\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4320\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2484\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6194\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4260\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3240\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2346\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6707\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4611\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1424\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6066\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4964\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4207\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5904\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2871\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3956\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3654\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2446\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6924\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4429\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7656\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1152\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2236\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3900\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1092\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3157\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3894\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1562\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3654\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2624\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2086\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2757\"\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}, {"value": "1", "start": 131, "end": 132}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2061\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2587\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1682\"\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}, {"value": "1", "start": 130, "end": 131}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1100\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4578\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2430\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4655\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1400\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3618\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4473\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4357\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4752\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2957\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3350\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3324\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1628\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4732\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1504\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4222\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1407\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1040\"\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}, {"value": "1", "start": 105, "end": 106}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2986\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3882\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2734\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3474\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3707\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2925\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1590\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3426\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2130\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3933\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1631\"\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}, {"value": "1", "start": 106, "end": 107}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4401\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3973\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3324\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4129\"\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}, {"value": "1", "start": 107, "end": 108}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4776\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2632\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4715\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2024\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1050\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1554\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2793\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3060\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4700\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2088\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1740\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2261\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1725\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1296\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1040\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3420\"\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}, {"value": "1", "start": 103, "end": 104}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2793\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4588\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4464\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1530\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2575\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2877\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3315\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1330\"\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}, {"value": "1", "start": 103, "end": 104}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4408\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1066\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4920\"\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}, {"value": "1", "start": 103, "end": 104}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3799\"\nresult = \"7598\"", "target": "7598", "fn_f": "multiply", "fn_g": "lcm", "fn_chain": "multiply|lcm", "input_str": "('mm', 'lcm', (29, 131), 'multiply', 2)", "intermediate": "3799", "split_id": 0, "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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4402\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1035\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4503\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2805\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2987\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7702\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7649\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2252\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7487\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8308\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9036\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9425\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7941\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4502\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8921\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9121\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2465\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7368\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8750\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1960\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7785\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5012\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5065\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1629\"\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}, {"value": "1", "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 gcf to 5576 and 6970, then take 98% of the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1394\"\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}, {"value": "1", "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 gcf to 16491 and 54970, then take 74% of the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5497\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4257\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8191\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4442\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8139\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2788\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1595\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8554\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1444\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3536\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2918\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2674\"\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}, {"value": "1", "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 gcf to 14328 and 16716, then take 84% of the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2388\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2090\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4576\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1080\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8758\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1344\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1209\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2989\"\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}, {"value": "1", "start": 88, "end": 89}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4941\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1702\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7663\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4454\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6958\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6630\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8878\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2128\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1206\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9154\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8526\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8514\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1230\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5538\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1744\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4092\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9174\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1736\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3036\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6048\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6384\"\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}, {"value": "1", "start": 91, "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 lcm to 71 and 117, then take 85% of the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8307\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1530\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2873\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3220\"\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}, {"value": "1", "start": 90, "end": 91}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3201\"\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}, {"value": "1", "start": 89, "end": 90}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1824\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2550\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9348\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2184\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6858\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5220\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5301\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4032\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8932\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3588\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4296\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5198\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1581\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1860\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2328\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2914\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7280\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3864\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5738\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6952\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1170\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2046\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2835\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1952\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7224\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3796\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2415\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3696\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3555\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5978\"\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}, {"value": "1", "start": 99, "end": 100}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6834\"\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}, {"value": "1", "start": 102, "end": 103}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2400\"\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}, {"value": "1", "start": 100, "end": 101}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7164\"\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}, {"value": "1", "start": 101, "end": 102}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1172\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1239\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3292\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4018\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3132\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1188\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3003\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1105\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3672\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2197\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1575\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1809\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2160\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2988\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1085\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1065\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2414\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1644\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2079\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1953\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2364\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1653\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3434\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2706\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1839\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4180\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2794\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1083\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1508\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3946\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1026\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2128\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1936\"\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}, {"value": "1", "start": 132, "end": 133}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2128\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5742\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4120\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2548\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8905\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5192\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2028\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9240\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7568\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6560\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"7406\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5494\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"8245\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1940\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"6120\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4470\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2332\"\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}, {"value": "1", "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 27 and 180, then take 35% of the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4860\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5412\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"9858\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3763\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1860\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1020\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"4004\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2898\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1635\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5564\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"3090\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"5820\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2314\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"2988\"\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}, {"value": "1", "start": 94, "end": 95}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1568\"\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}, {"value": "1", "start": 95, "end": 96}]}}
{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "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.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"1450\"\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}, {"value": "1", "start": 94, "end": 95}]}}