| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Compute 3 + 4 x 5."}, {"role": "assistant", "content": "Multiplication comes before addition. 4 x 5 = 20, then 20 + 3 = 23.\n\nThe answer is \\boxed{23}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is 15% of 240?"}, {"role": "assistant", "content": "15% = 0.15, and 0.15 x 240 = 36.\n\nThe answer is \\boxed{36}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Simplify 3/4 + 1/6."}, {"role": "assistant", "content": "The common denominator is 12. 3/4 = 9/12 and 1/6 = 2/12, so the sum is 11/12.\n\nThe answer is \\boxed{11/12}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Solve for x: 2x + 7 = 19."}, {"role": "assistant", "content": "Subtract 7: 2x = 12. Divide by 2: x = 6.\n\nThe answer is \\boxed{6}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "If x + y = 10 and x - y = 4, find x."}, {"role": "assistant", "content": "Add the two equations: 2x = 14, so x = 7.\n\nThe answer is \\boxed{7}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Solve x^2 - 5x + 6 = 0 and give the larger root."}, {"role": "assistant", "content": "Factor: (x - 2)(x - 3) = 0, so the roots are 2 and 3. The larger is 3.\n\nThe answer is \\boxed{3}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A rectangle is 8 cm by 5 cm. What is its area?"}, {"role": "assistant", "content": "Area = length x width = 8 x 5 = 40 square cm.\n\nThe answer is \\boxed{40}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A right triangle has legs 6 and 8. Find the hypotenuse."}, {"role": "assistant", "content": "By the Pythagorean theorem, h = sqrt(6^2 + 8^2) = sqrt(100) = 10.\n\nThe answer is \\boxed{10}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is gcd(48, 36)?"}, {"role": "assistant", "content": "48 = 2^4 x 3 and 36 = 2^2 x 3^2. The gcd takes the lower powers: 2^2 x 3 = 12.\n\nThe answer is \\boxed{12}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is lcm(4, 6)?"}, {"role": "assistant", "content": "4 = 2^2 and 6 = 2 x 3. The lcm takes the higher powers: 2^2 x 3 = 12.\n\nThe answer is \\boxed{12}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "How many ways can the letters of 'CAT' be arranged?"}, {"role": "assistant", "content": "Three distinct letters give 3! = 3 x 2 x 1 = 6 arrangements.\n\nThe answer is \\boxed{6}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "How many ways are there to choose 2 items from 5?"}, {"role": "assistant", "content": "C(5,2) = 5! / (2! 3!) = 10.\n\nThe answer is \\boxed{10}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A fair coin is flipped 3 times. What is the probability of exactly 2 heads?"}, {"role": "assistant", "content": "There are 2^3 = 8 outcomes; exactly 2 heads occurs in C(3,2) = 3 of them, so the probability is 3/8.\n\nThe answer is \\boxed{3/8}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "The arithmetic sequence 3, 7, 11, ... has first term 3 and common difference 4. Find the 10th term."}, {"role": "assistant", "content": "a_10 = 3 + (10 - 1) x 4 = 3 + 36 = 39.\n\nThe answer is \\boxed{39}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "The geometric sequence 2, 6, 18, ... has ratio 3. Find the 5th term."}, {"role": "assistant", "content": "a_5 = 2 x 3^4 = 2 x 81 = 162.\n\nThe answer is \\boxed{162}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A car travels 150 miles in 3 hours. What is its average speed in mph?"}, {"role": "assistant", "content": "Speed = distance / time = 150 / 3 = 50 mph.\n\nThe answer is \\boxed{50}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "If 5 workers build a wall in 12 days, how many days do 3 workers need at the same rate?"}, {"role": "assistant", "content": "The job is 5 x 12 = 60 worker-days. With 3 workers, 60 / 3 = 20 days.\n\nThe answer is \\boxed{20}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Mix 2 L of 30% acid with 3 L of 80% acid. What is the final concentration, in percent?"}, {"role": "assistant", "content": "Acid = 0.30 x 2 + 0.80 x 3 = 0.6 + 2.4 = 3.0 L in 5 L total, so 3.0 / 5 = 0.60 = 60%.\n\nThe answer is \\boxed{60}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is the sum of the first 100 positive integers?"}, {"role": "assistant", "content": "The sum is n(n + 1)/2 = 100 x 101 / 2 = 5050.\n\nThe answer is \\boxed{5050}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Compute 2^10."}, {"role": "assistant", "content": "2^10 = 1024.\n\nThe answer is \\boxed{1024}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is log base 2 of 32?"}, {"role": "assistant", "content": "32 = 2^5, so log_2(32) = 5.\n\nThe answer is \\boxed{5}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Simplify sqrt(72)."}, {"role": "assistant", "content": "72 = 36 x 2, so sqrt(72) = sqrt(36) x sqrt(2) = 6 sqrt(2).\n\nThe answer is \\boxed{6\\sqrt{2}}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A circle has radius 7. Using pi = 22/7, find its area."}, {"role": "assistant", "content": "Area = pi r^2 = (22/7) x 49 = 22 x 7 = 154.\n\nThe answer is \\boxed{154}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is the sum of the interior angles of a hexagon?"}, {"role": "assistant", "content": "For an n-gon the sum is (n - 2) x 180. For n = 6: 4 x 180 = 720 degrees.\n\nThe answer is \\boxed{720}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Two quantities are in ratio 3:5 and total 40. What is the larger quantity?"}, {"role": "assistant", "content": "There are 3 + 5 = 8 parts, so each part is 40 / 8 = 5. The larger quantity is 5 x 5 = 25.\n\nThe answer is \\boxed{25}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A value is 20% more than 50. What is it?"}, {"role": "assistant", "content": "20% of 50 is 10, so the value is 50 + 10 = 60.\n\nThe answer is \\boxed{60}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "After a 20% discount an item costs 80. What was the original price?"}, {"role": "assistant", "content": "80 is 80% of the original, so original = 80 / 0.8 = 100.\n\nThe answer is \\boxed{100}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Find the median of 3, 7, 9, 11, 15."}, {"role": "assistant", "content": "With five sorted values the median is the middle one, 9.\n\nThe answer is \\boxed{9}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Find the mean of 4, 8, 15, 16, 23, 42."}, {"role": "assistant", "content": "The sum is 108 and there are 6 values, so the mean is 108 / 6 = 18.\n\nThe answer is \\boxed{18}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Solve 3(x - 2) = 2x + 1."}, {"role": "assistant", "content": "Expand: 3x - 6 = 2x + 1. Subtract 2x: x - 6 = 1, so x = 7.\n\nThe answer is \\boxed{7}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "How many prime numbers are less than 20?"}, {"role": "assistant", "content": "They are 2, 3, 5, 7, 11, 13, 17, 19, which is 8 primes.\n\nThe answer is \\boxed{8}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Compute 17 mod 5."}, {"role": "assistant", "content": "17 = 3 x 5 + 2, so the remainder is 2.\n\nThe answer is \\boxed{2}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Write 0.75 as a fraction in lowest terms."}, {"role": "assistant", "content": "0.75 = 75/100 = 3/4.\n\nThe answer is \\boxed{3/4}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A square has area 49. What is its perimeter?"}, {"role": "assistant", "content": "The side is sqrt(49) = 7, so the perimeter is 4 x 7 = 28.\n\nThe answer is \\boxed{28}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A number tripled and then decreased by 4 equals 20. Find the number."}, {"role": "assistant", "content": "3n - 4 = 20 gives 3n = 24, so n = 8.\n\nThe answer is \\boxed{8}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Find the distance between (0, 0) and (3, 4)."}, {"role": "assistant", "content": "Distance = sqrt(3^2 + 4^2) = sqrt(25) = 5.\n\nThe answer is \\boxed{5}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Find the slope of the line through (1, 2) and (3, 8)."}, {"role": "assistant", "content": "Slope = (8 - 2) / (3 - 1) = 6 / 2 = 3.\n\nThe answer is \\boxed{3}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Compute 5!."}, {"role": "assistant", "content": "5! = 5 x 4 x 3 x 2 x 1 = 120.\n\nThe answer is \\boxed{120}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is the probability that two fair dice sum to 7?"}, {"role": "assistant", "content": "There are 6 favorable outcomes out of 36, so the probability is 6/36 = 1/6.\n\nThe answer is \\boxed{1/6}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Invest 1000 at 10% annual interest compounded yearly for 2 years. What is the final amount?"}, {"role": "assistant", "content": "Final = 1000 x 1.1^2 = 1000 x 1.21 = 1210.\n\nThe answer is \\boxed{1210}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "If f(x) = 2x + 3, what is f(5)?"}, {"role": "assistant", "content": "f(5) = 2 x 5 + 3 = 13.\n\nThe answer is \\boxed{13}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Solve |x - 3| = 5 and give the larger solution."}, {"role": "assistant", "content": "x - 3 = 5 or x - 3 = -5, so x = 8 or x = -2. The larger is 8.\n\nThe answer is \\boxed{8}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A triangle has base 10 and height 6. What is its area?"}, {"role": "assistant", "content": "Area = (1/2) x base x height = (1/2) x 10 x 6 = 30.\n\nThe answer is \\boxed{30}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "12 is what percent of 48?"}, {"role": "assistant", "content": "12 / 48 = 0.25 = 25%.\n\nThe answer is \\boxed{25}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "What is the next term in 1, 4, 9, 16, ...?"}, {"role": "assistant", "content": "These are the perfect squares 1^2, 2^2, 3^2, 4^2, so the next is 5^2 = 25.\n\nThe answer is \\boxed{25}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "How many diagonals does a pentagon have?"}, {"role": "assistant", "content": "A polygon has n(n - 3)/2 diagonals. For n = 5: 5 x 2 / 2 = 5.\n\nThe answer is \\boxed{5}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "Compute sqrt(144) + sqrt(25)."}, {"role": "assistant", "content": "sqrt(144) = 12 and sqrt(25) = 5, so the sum is 17.\n\nThe answer is \\boxed{17}."}]} | |
| {"prompt": [{"role": "system", "content": "You are a math tutor. Solve the problem step by step, then give the final answer on the last line as \\boxed{...}."}, {"role": "user", "content": "A shirt costs 25 and is marked up by 40%. What is the new price?"}, {"role": "assistant", "content": "40% of 25 is 10, so the new price is 25 + 10 = 35.\n\nThe answer is \\boxed{35}."}]} | |