Question: Is Red Lodge Mountain northeast or northwest of the Greater Yellowstone Ecosystem?

Context paragraphs:
Red Lodge Mountain: Red Lodge Mountain is an alpine ski area in the western United States, located in south-central Montana along the eastern front of the Beartooth Mountains, west of the town of Red Lodge.

Custer National Forest: Custer National Forest is located primarily in the south central part of the U.S. state of Montana but also has separate sections in northwestern South Dakota.  With a total area of 1188130 acre , the forest comprises over 10 separate sections.  While in the westernmost sections, Custer National Forest is a part of the Greater Yellowstone Ecosystem, the easternmost sections are a combination of forest "islands" and grasslands.  A portion of the forest is also part of the Absaroka-Beartooth Wilderness and constitutes over a third of the wilderness land.  South of Red Lodge, Montana, the Beartooth Highway (U.S. 212) passes through the forest en route to Yellowstone National Park.

List of animals of Yellowstone: Yellowstone National Park in the northwest United States is home to a large variety of mammals, birds, fish, reptiles and amphibians, many of which migrate within the Greater Yellowstone Ecosystem.  These animals are a major park attraction.

Beartooth Mountains: The Beartooth Mountains are located in south central Montana and northwest Wyoming, U.S. and are part of the 900,000 acre (3,600 km) Absaroka-Beartooth Wilderness, within Custer, Gallatin and Shoshone National Forests.  The Beartooths are the location of Granite Peak, which at 12,807 feet (3,904 m) is the highest point in the state of Montana.  The mountains are just northeast of Yellowstone National Park and are part of the Greater Yellowstone Ecosystem.  The mountains are traversed by road via the Beartooth Highway (U.S. 212) with the highest elevation at Beartooth Pass (10,947 ft, 3,345 m).  The name of the mountain range is attributed to a rugged peak found in the range, Beartooth Peak, that has the appearance of a bear's tooth.

Red Rock Lakes National Wildlife Refuge: Red Rock Lakes National Wildlife Refuge is a remote refuge located in the high altitude of the Centennial Valley, in the southwestern region of the U.S. state of Montana.  Adjacent to Gallatin National Forest and near Yellowstone National Park, the refuge is an integral part of the Greater Yellowstone Ecosystem.  Red Rock Lakes is best known for being the primary location for the efforts saving the trumpeter swan from extinction, which by 1932 had fewer than 200 known specimens in the United States and Canada.  By the year 2002, an estimated 3,000 trumpeters were wintering on the refuge, many having migrated south from their summer range in Canada.  The trumpeters are now so plentiful that efforts are being undertaken to help them reestablish historical migratory routes to areas further south in the Rocky Mountains and the Great Basin region.  The elegant trumpeter swan is North America's largest waterfowl, with a wingspans of 8 feet (2.6 m) and they can weigh up to 30 pounds (13 kg).

Teton Wilderness: Teton Wilderness is located in Wyoming, United States.  Created in 1964, the Teton Wilderness is located within Bridger-Teton National Forest and consists of 585,238 acres (2,370 km).  The wilderness is bordered on the north by Yellowstone National Park and to the west by Grand Teton National Park and the John D. Rockefeller, Jr.  Memorial Parkway.  The Washakie Wilderness is to the east and the remainder of Bridger-Teton National Forest is to the south.  The Teton Wilderness is a part of the 20 million acre (81,000 km) Greater Yellowstone Ecosystem.  Among many other features, Teton Wilderness is notable for having the most remote location (farthest from any road) of any place in the contiguous 48 states of the US.  This location occurs very close to Bridger Lake, near the confluence of the Thorofare and Yellowstone Rivers, not far from the USFS Hawk's Rest Ranger Station.

Greater Yellowstone Coalition: The Greater Yellowstone Coalition is a conservation organization protecting the lands, waters and wildlife of the 20 e6acre Greater Yellowstone Ecosystem of Idaho, Montana and Wyoming.  The group was formed in 1983 with the idea that protecting Yellowstone and Grand Teton national parks could only be achieved by protecting the wild integrity of the last largely intact temperate ecosystem in North America.  The group is based in Bozeman, Montana, and has offices in Driggs, Idaho, Jackson, Wyoming and Cody, Wyoming.

Gallatin National Forest: Founded in 1899, Gallatin National Forest is located in south central Montana, United States.  The forest comprises 1819515 acres and has portions of both the Absaroka-Beartooth and Lee Metcalf Wilderness areas within its boundaries.  Gallatin National Forest borders Yellowstone National Park on the north and northwest and is part of the Greater Yellowstone Ecosystem, a region which encompasses almost 20000000 acres .  The forest is named after Albert Gallatin (1761–1849), U.S. Secretary of the Treasury and scholar of Native American languages and cultures.

Absaroka-Beartooth Wilderness: Absaroka-Beartooth Wilderness was created from existing National Forest lands in 1978 and is located in Montana and Wyoming, United States.  The wilderness is partly in Gallatin, Custer and Shoshone National Forests and is composed of 944,000 acre .  The wilderness encompasses two distinct mountain ranges, namely the Beartooth and Absaroka ranges.  These ranges are completely distinct geologically speaking with the Absarokas composed primarily of volcanic (or extrusive) and metamorphic rock, while the Beartooths are made up almost entirely of granitic rocks.  The Absarokas are noted for their dark and craggy appearance, lush and heavily forested valleys and abundant wildlife.  The highest peak in the range, located in Wyoming, is Francs Peak at 13,153 ft .  The Beartooths are more alpine with huge treeless plateaus and the highest peak in the state of Montana (Granite Peak 12,799 ft ).  The wilderness contains 30 peaks over 12,000 ft .  The wilderness is an integral part of the 20 e6acre Greater Yellowstone Ecosystem and borders Yellowstone National Park.

Greater Yellowstone Ecosystem: The Greater Yellowstone Ecosystem (GYE) is one of the last remaining large, nearly intact ecosystems in the northern temperate zone of the Earth.  It is located within the northern Rocky Mountains, in areas of northwestern Wyoming, southwestern Montana, and eastern Idaho.  Yellowstone National Park and the Yellowstone Caldera 'hotspot' are within it.

Supporting paragraphs: Red Lodge Mountain Beartooth Mountains
Answer: northeast