| {"conversations": [{"from": "human", "value": "Which property is shown: 3 + (4 + 5) = (3 + 4) + 5?"}, {"from": "assistant", "value": "Associative property"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: -8 + 3 * 2 - 1"}, {"from": "assistant", "value": "Order of operations"}]} |
| {"conversations": [{"from": "human", "value": "What is |-7|?"}, {"from": "assistant", "value": "Absolute value"}]} |
| {"conversations": [{"from": "human", "value": "Translate to algebra: 'five more than twice a number'"}, {"from": "assistant", "value": "Writing expressions"}]} |
| {"conversations": [{"from": "human", "value": "Combine like terms: 3x + 7x - 2x"}, {"from": "assistant", "value": "Combining like terms"}]} |
| {"conversations": [{"from": "human", "value": "Use the distributive property: 4(2x - 3)"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "Find x when 3x + 7 = 22"}, {"from": "assistant", "value": "Two-step equations"}]} |
| {"conversations": [{"from": "human", "value": "What is the solution to 2(x - 3) = 4x + 8?"}, {"from": "assistant", "value": "Multi-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 5x - 2 = 3x + 10"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Isolate h in the formula A = 1/2 * b * h"}, {"from": "assistant", "value": "Literal equations"}]} |
| {"conversations": [{"from": "human", "value": "Find the values of x where 2x - 5 > 11"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solve the compound inequality: -3 <= 2x + 1 < 7"}, {"from": "assistant", "value": "Compound inequalities"}]} |
| {"conversations": [{"from": "human", "value": "What are the solutions to |x - 4| = 7?"}, {"from": "assistant", "value": "Absolute value equations"}]} |
| {"conversations": [{"from": "human", "value": "Find all x values where |2x + 3| < 9"}, {"from": "assistant", "value": "Absolute value inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Graph x >= -2 on a number line"}, {"from": "assistant", "value": "Graphing inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Convert 45 miles per hour to feet per second"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "A recipe calls for 2 cups of flour for 12 cookies. How much flour for 18 cookies?"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "If a measurement is 15.2 cm with a precision of +/- 0.1 cm, what is the percent error?"}, {"from": "assistant", "value": "Percent error"}]} |
| {"conversations": [{"from": "human", "value": "Is the relation {(1,2), (2,3), (1,4)} a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "What is the domain of f(x) = 1/(x - 3)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Find the range of f(x) = x^2 + 1"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If f(x) = 2x - 5, find f(3)"}, {"from": "assistant", "value": "Function evaluation"}]} |
| {"conversations": [{"from": "human", "value": "Which grows faster: linear or exponential functions?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Find the slope of the line through (2, 5) and (6, 13)"}, {"from": "assistant", "value": "Slope"}]} |
| {"conversations": [{"from": "human", "value": "What is the slope of y = -3x + 7?"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "Write the equation of a line with slope 2 through point (1, 4)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "Convert to slope-intercept form: 3x + 2y = 12"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "What is the y-intercept of 4x - 3y = 15?"}, {"from": "assistant", "value": "Y-intercept"}]} |
| {"conversations": [{"from": "human", "value": "Graph the line y = 2x - 3"}, {"from": "assistant", "value": "Graphing lines"}]} |
| {"conversations": [{"from": "human", "value": "A phone plan costs $30 plus $0.10 per minute. Write a linear function for total cost"}, {"from": "assistant", "value": "Linear modeling"}]} |
| {"conversations": [{"from": "human", "value": "Find the solution to the system: x + y = 8, 2x - y = 1"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "Use substitution to solve: y = 2x, x + y = 9"}, {"from": "assistant", "value": "Substitution method"}]} |
| {"conversations": [{"from": "human", "value": "Solve using elimination: 3x + 2y = 12, x - 2y = 4"}, {"from": "assistant", "value": "Elimination method"}]} |
| {"conversations": [{"from": "human", "value": "Graph the system: y > x + 1, y < -x + 5"}, {"from": "assistant", "value": "Systems of inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find the feasible region for: x >= 0, y >= 0, x + y <= 10"}, {"from": "assistant", "value": "Linear programming"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: x^5 * x^3"}, {"from": "assistant", "value": "Product rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (2x^3)^4"}, {"from": "assistant", "value": "Power rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: x^8 / x^2"}, {"from": "assistant", "value": "Quotient rule"}]} |
| {"conversations": [{"from": "human", "value": "What is 5^0?"}, {"from": "assistant", "value": "Zero exponent"}]} |
| {"conversations": [{"from": "human", "value": "Write 0.000045 in scientific notation"}, {"from": "assistant", "value": "Scientific notation"}]} |
| {"conversations": [{"from": "human", "value": "If a population doubles every 3 years, is this exponential growth?"}, {"from": "assistant", "value": "Exponential growth"}]} |
| {"conversations": [{"from": "human", "value": "Find the 5th term of the arithmetic sequence: 3, 7, 11, 15, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find the 4th term of the geometric sequence: 2, 6, 18, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the result of (3x^2 + 2x - 1) + (x^2 - 4x + 3)?"}, {"from": "assistant", "value": "Adding polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Find the difference: (5x^2 - 3x + 2) - (2x^2 + x - 1)"}, {"from": "assistant", "value": "Subtracting polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: 3x(2x^2 - 4x + 1)"}, {"from": "assistant", "value": "Multiplying polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Use FOIL to expand: (x + 3)(x - 2)"}, {"from": "assistant", "value": "FOIL method"}]} |
| {"conversations": [{"from": "human", "value": "Expand: (2x + 5)^2"}, {"from": "assistant", "value": "Perfect square trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor out the GCF: 6x^3 + 9x^2 - 3x"}, {"from": "assistant", "value": "Greatest common factor"}]} |
| {"conversations": [{"from": "human", "value": "How do you factor x^2 + 7x + 12?"}, {"from": "assistant", "value": "Factoring trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor completely: x^2 - 9"}, {"from": "assistant", "value": "Difference of squares"}]} |
| {"conversations": [{"from": "human", "value": "Factor by grouping: x^3 + 2x^2 + 3x + 6"}, {"from": "assistant", "value": "Factoring by grouping"}]} |
| {"conversations": [{"from": "human", "value": "What is the vertex of y = x^2 - 4x + 3?"}, {"from": "assistant", "value": "Vertex"}]} |
| {"conversations": [{"from": "human", "value": "Find the axis of symmetry of y = 2x^2 + 8x - 1"}, {"from": "assistant", "value": "Axis of symmetry"}]} |
| {"conversations": [{"from": "human", "value": "What are the x-intercepts of y = x^2 - 5x + 6?"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Convert to vertex form: y = x^2 + 6x + 4"}, {"from": "assistant", "value": "Vertex form"}]} |
| {"conversations": [{"from": "human", "value": "Factor to solve: x^2 - 5x + 6 = 0"}, {"from": "assistant", "value": "Solving by factoring"}]} |
| {"conversations": [{"from": "human", "value": "Find x when x^2 = 25"}, {"from": "assistant", "value": "Square root method"}]} |
| {"conversations": [{"from": "human", "value": "Complete the square: x^2 + 8x - 3"}, {"from": "assistant", "value": "Completing the square"}]} |
| {"conversations": [{"from": "human", "value": "Apply the quadratic formula to x^2 + 2x - 3 = 0"}, {"from": "assistant", "value": "Quadratic formula"}]} |
| {"conversations": [{"from": "human", "value": "What is the discriminant of 2x^2 + 3x + 5?"}, {"from": "assistant", "value": "Discriminant"}]} |
| {"conversations": [{"from": "human", "value": "A ball is thrown upward with equation h = -16t^2 + 32t + 6. When does it hit the ground?"}, {"from": "assistant", "value": "Quadratic applications"}]} |
| {"conversations": [{"from": "human", "value": "What is sqrt(36)?"}, {"from": "assistant", "value": "Square roots"}]} |
| {"conversations": [{"from": "human", "value": "How do you simplify sqrt(50)?"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: 3*sqrt(12)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "What is 2sqrt(3) + 5sqrt(3)?"}, {"from": "assistant", "value": "Adding radicals"}]} |
| {"conversations": [{"from": "human", "value": "Calculate: sqrt(6) * sqrt(8)"}, {"from": "assistant", "value": "Multiplying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Find the distance between (1, 3) and (4, 7)"}, {"from": "assistant", "value": "Distance formula"}]} |
| {"conversations": [{"from": "human", "value": "In a right triangle, if legs are 3 and 4, find the hypotenuse"}, {"from": "assistant", "value": "Pythagorean theorem"}]} |
| {"conversations": [{"from": "human", "value": "Solve: sqrt(x + 3) = 5"}, {"from": "assistant", "value": "Radical equations"}]} |
| {"conversations": [{"from": "human", "value": "Reduce to lowest terms: (x^2 - 9)/(x - 3)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is (2x)/(3y) * (9y^2)/(4x^2)?"}, {"from": "assistant", "value": "Multiplying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Divide: (x^2 + 5x + 6)/(x + 2) divided by (x + 3)/(x + 1)"}, {"from": "assistant", "value": "Dividing rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Combine: 3/x + 2/x"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Calculate: 5/(x+1) - 2/(x+1)"}, {"from": "assistant", "value": "Subtracting rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is the LCD for 1/(x-2) + 3/(x+1)?"}, {"from": "assistant", "value": "Least common denominator"}]} |
| {"conversations": [{"from": "human", "value": "Find x when 3/x = 2/(x-1)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "If 2 workers can paint a fence in 6 hours, how long for 3 workers?"}, {"from": "assistant", "value": "Work problems"}]} |
| {"conversations": [{"from": "human", "value": "In the sequence 5, 8, 11, 14, ..., what is the 8th term?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the common difference in: 12, 7, 2, -3, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Write an explicit formula for: 3, 7, 11, 15, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "In the geometric sequence 2, 6, 18, 54, ..., find the 5th term"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the common ratio in: 1, 4, 16, 64, ...?"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Calculate the sum of the first 10 terms of: 2, 4, 6, 8, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "Calculate the average of: 5, 10, 25, 500, 1500"}, {"from": "assistant", "value": "Mean"}]} |
| {"conversations": [{"from": "human", "value": "What is the median of: 7, 3, 9, 1, 5, 8, 2?"}, {"from": "assistant", "value": "Median"}]} |
| {"conversations": [{"from": "human", "value": "Find the mode of: 4, 7, 4, 9, 4, 6, 7"}, {"from": "assistant", "value": "Mode"}]} |
| {"conversations": [{"from": "human", "value": "What is the range of: 15, 8, 23, 12, 19?"}, {"from": "assistant", "value": "Range"}]} |
| {"conversations": [{"from": "human", "value": "Calculate the IQR if Q1 = 25 and Q3 = 40"}, {"from": "assistant", "value": "Interquartile range"}]} |
| {"conversations": [{"from": "human", "value": "Is 85 an outlier if Q1 = 20, Q3 = 30, and IQR = 10?"}, {"from": "assistant", "value": "Outliers"}]} |
| {"conversations": [{"from": "human", "value": "Create a frequency table for: A, B, A, C, B, A, C, A"}, {"from": "assistant", "value": "Frequency tables"}]} |
| {"conversations": [{"from": "human", "value": "Describe the correlation in a scatter plot where points trend upward"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "If the line of best fit is y = 2x + 3, predict y when x = 5"}, {"from": "assistant", "value": "Line of best fit"}]} |
| {"conversations": [{"from": "human", "value": "What does a correlation coefficient of r = -0.85 indicate?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "If actual value is 12 and predicted is 10, what is the residual?"}, {"from": "assistant", "value": "Residuals"}]} |
| {"conversations": [{"from": "human", "value": "Compare the centers of two box plots with medians 25 and 30"}, {"from": "assistant", "value": "Box plots"}]} |
| {"conversations": [{"from": "human", "value": "Which has more variability: interquartile range = 8 or interquartile range = 12?"}, {"from": "assistant", "value": "Variability"}]} |
| {"conversations": [{"from": "human", "value": "What is the probability of rolling a 6 on a standard die?"}, {"from": "assistant", "value": "Probability"}]} |
| {"conversations": [{"from": "human", "value": "Solve for x in the proportion: 3/4 = x/12"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "What is the interquartile range if Q1 = 12 and Q3 = 28?"}, {"from": "assistant", "value": "Interquartile range"}]} |
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