Lots-of-LoRAs/task119_semeval_2019_task10_geometric_mathematical_answer_generation huggingface dataset:
Definition: You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

Positive Example 1 -
Input: A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?
(A)5 (B)10 (C)15 (D)\(20\sqrt{2}\) (E)\(20\sqrt{3}\)
Output: B

Positive Example 2 -
Input: The diameter of a basketball is 4 times the diameter of a racquetball. What is the ratio of the radius of the basketball to that of the racquetball?
(A)1 : 2 (B)3 : 2 (C)4 : 1 (D)4 : 3 (E)8 : 1
Output: C

Negative Example 1 -
Input: A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?
(A)5 (B)10 (C)15 (D)\(20\sqrt{2}\) (E)\(20\sqrt{3}\)
Output: I dont know.

Negative Example 2 -
Input: The diameter of a basketball is 4 times the diameter of a racquetball. What is the ratio of the radius of the basketball to that of the racquetball?
(A)1 : 2 (B)3 : 2 (C)4 : 1 (D)4 : 3 (E)8 : 1
Output: B,D

Now complete the following example -
Input: Lines l and m and two circles lie in a plane. If l passes through the center of the two circles and m is perpendicular to l, which of the following could NOT be the number of points at which m intersects the circles?
(A)0 (B)1 (C)2 (D)4 (E)5
Output: 


Answer: E
Definition: You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

Positive Example 1 -
Input: A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?
(A)5 (B)10 (C)15 (D)\(20\sqrt{2}\) (E)\(20\sqrt{3}\)
Output: B

Positive Example 2 -
Input: The diameter of a basketball is 4 times the diameter of a racquetball. What is the ratio of the radius of the basketball to that of the racquetball?
(A)1 : 2 (B)3 : 2 (C)4 : 1 (D)4 : 3 (E)8 : 1
Output: C

Negative Example 1 -
Input: A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?
(A)5 (B)10 (C)15 (D)\(20\sqrt{2}\) (E)\(20\sqrt{3}\)
Output: I dont know.

Negative Example 2 -
Input: The diameter of a basketball is 4 times the diameter of a racquetball. What is the ratio of the radius of the basketball to that of the racquetball?
(A)1 : 2 (B)3 : 2 (C)4 : 1 (D)4 : 3 (E)8 : 1
Output: B,D

Now complete the following example -
Input: The measures of the three angles of a triangle are in the ratio of 5:5:10, and the length of the longest side is 10. From this information, which of the following can be determined? I. The area of the triangle II. The perimeter of the triangle III. The length of each of the three altitudes
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: 


Answer: E