gt_answer stringlengths 1 45 | prompt stringlengths 361 2.07k | question stringlengths 20 1.73k | samples sequencelengths 128 128 |
|---|---|---|---|
-2,1 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "Find all the integer roots of\n\\[x^4 + 5x^3 + 9x^2 - x - 14 = 0.\\]Enter all the integer roots, se(...TRUNCATED) | ["To solve the polynomial equation \n\n\\[\nx^4 + 5x^3 + 9x^2 - x - 14 = 0,\n\\]\n\nwe will look for(...TRUNCATED) |
1250 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "In 1992, a scoop of gelato could be purchased in Italy for 1200 lire. The same gelato would have co(...TRUNCATED) | ["To find out how many dollars would be equivalent to 1,000,000 lire, we first need to determine the(...TRUNCATED) |
\frac{3840}{289} | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "In triangle $ABC$, $AB = 17$, $AC = 8$, and $BC = 15$. Let $D$ be the foot of the altitude from $C(...TRUNCATED) | ["To find the area of triangle \\( ACD \\), we first need to determine the height \\( CD \\) from po(...TRUNCATED) |
8n^2+4n+1 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "Let $n$ be a positive integer. Simplify the expression\n\\[\\frac{(2^4 + \\frac{1}{4})(4^4 + \\fra(...TRUNCATED) | ["To simplify the given expression \n\n\\[\n\\frac{(2^4 + \\frac{1}{4})(4^4 + \\frac{1}{4}) \\dotsm (...TRUNCATED) |
2\sqrt{113} | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on (...TRUNCATED) | ["To solve the problem, we first need to understand the positions of the gecko and the fly in the ro(...TRUNCATED) |
10 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "Twelve 1 by 1 squares form a rectangle, as shown. What is the total area of the shaded region? [asy(...TRUNCATED) | ["To solve the problem, we first need to understand the dimensions and layout of the rectangle forme(...TRUNCATED) |
\frac{1}{4} | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "Two candidates, Dan and Donald, run for class president. Two other candidates, Freddie and Bernie, (...TRUNCATED) | ["To find the probability that both Dan and Freddie win, we can break down the problem into two inde(...TRUNCATED) |
180 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "In circle $J$, $HO$ and $HN$ are tangent to the circle at $O$ and $N$. Find the number of degrees i(...TRUNCATED) | ["To solve the problem, we begin by analyzing the given circle and tangent lines.\n\n1. We have a ci(...TRUNCATED) |
\frac{1}{3} | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "Four points, $A$, $B$, $C$, and $D$, are chosen randomly and independently on the circumference of (...TRUNCATED) | ["To determine the probability that segments \\( AB \\) and \\( CD \\) intersect when four points \\(...TRUNCATED) |
29 | "Solve the following math problem step by step. The last line of your response should be of the form(...TRUNCATED) | "When rolling a certain unfair six-sided die with faces numbered 1, 2, 3, 4, 5, and 6, the probabili(...TRUNCATED) | ["Let's denote the face \\( F \\) as the face with a probability greater than \\( \\frac{1}{6} \\) a(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 8