| {"conversations": [{"from": "human", "value": "Which property is shown: 5 * (3 + 2) = 5 * 3 + 5 * 2?"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "What is the additive identity?"}, {"from": "assistant", "value": "Identity properties"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: 12 - 8 + 4 * 2"}, {"from": "assistant", "value": "Order of operations"}]} |
| {"conversations": [{"from": "human", "value": "What is |-12|?"}, {"from": "assistant", "value": "Absolute value"}]} |
| {"conversations": [{"from": "human", "value": "Translate: 'three less than four times a number'"}, {"from": "assistant", "value": "Writing expressions"}]} |
| {"conversations": [{"from": "human", "value": "Combine like terms: 5y - 2y + 8y"}, {"from": "assistant", "value": "Combining like terms"}]} |
| {"conversations": [{"from": "human", "value": "Use distributive property: -3(x + 4)"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "Which property: a + b = b + a?"}, {"from": "assistant", "value": "Commutative property"}]} |
| {"conversations": [{"from": "human", "value": "Evaluate: 15 - 3 * 4 + 2"}, {"from": "assistant", "value": "Order of operations"}]} |
| {"conversations": [{"from": "human", "value": "What is the multiplicative inverse of 5?"}, {"from": "assistant", "value": "Inverse properties"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: 4x - 7x + 2x"}, {"from": "assistant", "value": "Combining like terms"}]} |
| {"conversations": [{"from": "human", "value": "Distribute: 2(3x - 5)"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "What is x if 2x + 5 = 17?"}, {"from": "assistant", "value": "Two-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Find the value of x: 4x - 3 = 2x + 9"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 3(x + 2) = 21"}, {"from": "assistant", "value": "Multi-step equations"}]} |
| {"conversations": [{"from": "human", "value": "What is the solution to 5x - 8 = 3x + 4?"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Solve for w: P = 2l + 2w"}, {"from": "assistant", "value": "Literal equations"}]} |
| {"conversations": [{"from": "human", "value": "Isolate a in the equation F = ma"}, {"from": "assistant", "value": "Literal equations"}]} |
| {"conversations": [{"from": "human", "value": "Find x when 6x + 1 = 4x - 7"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2(x - 4) = 3x + 1"}, {"from": "assistant", "value": "Multi-step equations"}]} |
| {"conversations": [{"from": "human", "value": "What is x in the equation x/4 + 3 = 8?"}, {"from": "assistant", "value": "Equations with fractions"}]} |
| {"conversations": [{"from": "human", "value": "What is the solution to 7 - 2x = 15?"}, {"from": "assistant", "value": "Two-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Find the values of x where 3x + 4 < 19"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "What values of x satisfy -2x + 7 >= 3?"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solve the compound inequality: 1 < 3x - 2 <= 10"}, {"from": "assistant", "value": "Compound inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find all solutions to |x + 3| = 8"}, {"from": "assistant", "value": "Absolute value equations"}]} |
| {"conversations": [{"from": "human", "value": "What values of x make |3x - 1| > 5 true?"}, {"from": "assistant", "value": "Absolute value inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Graph x < 4 on a number line"}, {"from": "assistant", "value": "Graphing inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solve the inequality: 4x - 1 <= 2x + 5"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find the solution set for |2x + 5| <= 7"}, {"from": "assistant", "value": "Absolute value inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Convert 60 mph to km/h (1 mile = 1.6 km)"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "A car travels 240 miles in 4 hours. What is the unit rate?"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "Convert 3 feet 6 inches to inches"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "If 5 pounds of apples cost $8, what is the cost per pound?"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "A measurement of 25.3 cm has an error of +/- 0.2 cm. Find the percent error"}, {"from": "assistant", "value": "Percent error"}]} |
| {"conversations": [{"from": "human", "value": "Convert 2.5 hours to minutes"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "Is {(2,3), (4,5), (2,7)} a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "What is the domain of f(x) = sqrt(x + 5)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Find the range of f(x) = -x^2 + 4"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If g(x) = 3x + 1, find g(-2)"}, {"from": "assistant", "value": "Function evaluation"}]} |
| {"conversations": [{"from": "human", "value": "Which function type shows constant rate of change?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Is the relation y = x^2 a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "What is the domain of h(x) = 1/(x + 2)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If f(5) = 12, what does this mean?"}, {"from": "assistant", "value": "Function notation"}]} |
| {"conversations": [{"from": "human", "value": "Find the slope between (-1, 3) and (2, 9)"}, {"from": "assistant", "value": "Slope"}]} |
| {"conversations": [{"from": "human", "value": "What is the slope of y = 4x - 1?"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "Write the equation with slope -2 through (3, 5)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "Convert to slope-intercept: 2x - 3y = 9"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "Find the x-intercept of 5x + 2y = 10"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Graph y = -x + 4"}, {"from": "assistant", "value": "Graphing lines"}]} |
| {"conversations": [{"from": "human", "value": "A taxi charges $3 plus $2 per mile. Write the function"}, {"from": "assistant", "value": "Linear modeling"}]} |
| {"conversations": [{"from": "human", "value": "What is the y-intercept of 3x + 4y = 16?"}, {"from": "assistant", "value": "Y-intercept"}]} |
| {"conversations": [{"from": "human", "value": "Find the slope of a line parallel to y = 5x + 2"}, {"from": "assistant", "value": "Parallel lines"}]} |
| {"conversations": [{"from": "human", "value": "Write in point-slope form: slope 3, point (2, 7)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "Find the solution to the system: x + 2y = 10, 3x - y = 4"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "Use substitution to solve: x = 3y, 2x + y = 14"}, {"from": "assistant", "value": "Substitution method"}]} |
| {"conversations": [{"from": "human", "value": "Solve using elimination: 2x + 3y = 8, 4x - 3y = 10"}, {"from": "assistant", "value": "Elimination method"}]} |
| {"conversations": [{"from": "human", "value": "Graph: y >= 2x - 1, y < -x + 3"}, {"from": "assistant", "value": "Systems of inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find vertices of: x >= 0, y >= 0, 2x + y <= 8"}, {"from": "assistant", "value": "Linear programming"}]} |
| {"conversations": [{"from": "human", "value": "What are the solutions to: 3x - y = 7, x + 2y = 6?"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "How many solutions: y = 2x + 1, y = 2x - 3?"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve by graphing: y = x + 2, y = -x + 4"}, {"from": "assistant", "value": "Graphing method"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: a^4 * a^7"}, {"from": "assistant", "value": "Product rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (3y^2)^3"}, {"from": "assistant", "value": "Power rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: m^10 / m^4"}, {"from": "assistant", "value": "Quotient rule"}]} |
| {"conversations": [{"from": "human", "value": "What is 8^0?"}, {"from": "assistant", "value": "Zero exponent"}]} |
| {"conversations": [{"from": "human", "value": "Write 0.0000032 in scientific notation"}, {"from": "assistant", "value": "Scientific notation"}]} |
| {"conversations": [{"from": "human", "value": "Is y = 3^x exponential growth or decay?"}, {"from": "assistant", "value": "Exponential growth"}]} |
| {"conversations": [{"from": "human", "value": "Find the 6th term: 4, 9, 14, 19, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find the 3rd term: 5, 15, 45, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: x^-3"}, {"from": "assistant", "value": "Negative exponents"}]} |
| {"conversations": [{"from": "human", "value": "Write 4,200,000 in scientific notation"}, {"from": "assistant", "value": "Scientific notation"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (2^3)^2"}, {"from": "assistant", "value": "Power rule"}]} |
| {"conversations": [{"from": "human", "value": "What is 3^-2?"}, {"from": "assistant", "value": "Negative exponents"}]} |
| {"conversations": [{"from": "human", "value": "What is the result of (2x^2 - 3x + 5) + (4x^2 + x - 2)?"}, {"from": "assistant", "value": "Adding polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Find the difference: (6x^2 + 2x - 1) - (3x^2 - x + 4)"}, {"from": "assistant", "value": "Subtracting polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: 4x(x^2 - 3x + 2)"}, {"from": "assistant", "value": "Multiplying polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Use FOIL to expand: (x - 1)(x + 5)"}, {"from": "assistant", "value": "FOIL method"}]} |
| {"conversations": [{"from": "human", "value": "Expand: (3x - 2)^2"}, {"from": "assistant", "value": "Perfect square trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor out the GCF from 8x^2 + 12x - 4"}, {"from": "assistant", "value": "Greatest common factor"}]} |
| {"conversations": [{"from": "human", "value": "How do you factor x^2 - 8x + 15?"}, {"from": "assistant", "value": "Factoring trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor completely: 4x^2 - 25"}, {"from": "assistant", "value": "Difference of squares"}]} |
| {"conversations": [{"from": "human", "value": "Factor: 2x^3 + 4x^2 + 6x + 12"}, {"from": "assistant", "value": "Factoring by grouping"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: (2x + 1)(x - 4)"}, {"from": "assistant", "value": "FOIL method"}]} |
| {"conversations": [{"from": "human", "value": "Factor the trinomial x^2 + 9x + 20"}, {"from": "assistant", "value": "Factoring trinomials"}]} |
| {"conversations": [{"from": "human", "value": "What are the factors of 9x^2 - 16?"}, {"from": "assistant", "value": "Difference of squares"}]} |
| {"conversations": [{"from": "human", "value": "Where is the vertex of y = x^2 + 6x + 8?"}, {"from": "assistant", "value": "Vertex"}]} |
| {"conversations": [{"from": "human", "value": "Find axis of symmetry: y = 3x^2 - 12x + 5"}, {"from": "assistant", "value": "Axis of symmetry"}]} |
| {"conversations": [{"from": "human", "value": "Find x-intercepts: y = x^2 - 7x + 10"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Convert to vertex form: y = x^2 - 4x + 1"}, {"from": "assistant", "value": "Vertex form"}]} |
| {"conversations": [{"from": "human", "value": "Factor to solve: x^2 + 3x - 10 = 0"}, {"from": "assistant", "value": "Solving by factoring"}]} |
| {"conversations": [{"from": "human", "value": "Find x when x^2 = 49"}, {"from": "assistant", "value": "Square root method"}]} |
| {"conversations": [{"from": "human", "value": "Complete the square: x^2 - 10x + 7"}, {"from": "assistant", "value": "Completing the square"}]} |
| {"conversations": [{"from": "human", "value": "Apply the quadratic formula to x^2 - 4x + 1 = 0"}, {"from": "assistant", "value": "Quadratic formula"}]} |
| {"conversations": [{"from": "human", "value": "Find discriminant: x^2 + 6x + 9"}, {"from": "assistant", "value": "Discriminant"}]} |
| {"conversations": [{"from": "human", "value": "A projectile follows h = -16t^2 + 48t. Find maximum height"}, {"from": "assistant", "value": "Quadratic applications"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2x^2 - 8x = 0"}, {"from": "assistant", "value": "Solving by factoring"}]} |
| {"conversations": [{"from": "human", "value": "Find y-intercept: y = 2x^2 - 5x + 3"}, {"from": "assistant", "value": "Y-intercept"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: sqrt(64)"}, {"from": "assistant", "value": "Square roots"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: sqrt(75)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: 4sqrt(18)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "What is 3sqrt(5) + 7sqrt(5)?"}, {"from": "assistant", "value": "Adding radicals"}]} |
| {"conversations": [{"from": "human", "value": "Calculate: sqrt(10) * sqrt(15)"}, {"from": "assistant", "value": "Multiplying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Find distance between (-2, 1) and (3, 5)"}, {"from": "assistant", "value": "Distance formula"}]} |
| {"conversations": [{"from": "human", "value": "Right triangle: legs 5 and 12, find hypotenuse"}, {"from": "assistant", "value": "Pythagorean theorem"}]} |
| {"conversations": [{"from": "human", "value": "What is x if sqrt(x - 1) = 4?"}, {"from": "assistant", "value": "Radical equations"}]} |
| {"conversations": [{"from": "human", "value": "How do you simplify sqrt(x^2y^4)?"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Find the result: 8sqrt(2) - 3sqrt(2)"}, {"from": "assistant", "value": "Subtracting radicals"}]} |
| {"conversations": [{"from": "human", "value": "Reduce to lowest terms: (x^2 - 16)/(x - 4)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is (3a)/(4b) * (8b^2)/(9a^2)?"}, {"from": "assistant", "value": "Multiplying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Divide: (x^2 - 4)/(x + 1) divided by (x - 2)/(x + 3)"}, {"from": "assistant", "value": "Dividing rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Combine: 5/y + 3/y"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Calculate: 7/(x-1) - 4/(x-1)"}, {"from": "assistant", "value": "Subtracting rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is the LCD for 2/(x+3) + 1/(x-2)?"}, {"from": "assistant", "value": "Least common denominator"}]} |
| {"conversations": [{"from": "human", "value": "Find x when 5/x = 3/(x+2)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "If 3 machines make 60 parts in 4 hours, how long for 5 machines?"}, {"from": "assistant", "value": "Work problems"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (2x + 6)/(x + 3)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Add: 1/(x+1) + 2/(x+2)"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 1/(x-1) = 2/(x+1)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "What is the domain of (x-1)/(x^2-9)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Find 10th term: 7, 11, 15, 19, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the common difference in: 20, 15, 10, 5, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Write an explicit formula for: 1, 5, 9, 13, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "In the sequence 3, 12, 48, 192, ..., what is the 6th term?"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the common ratio in: 2, 8, 32, 128, ...?"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Calculate the sum of first 8 terms: 5, 10, 15, 20, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "Is 4, 7, 10, 13, ... arithmetic or geometric?"}, {"from": "assistant", "value": "Sequence types"}]} |
| {"conversations": [{"from": "human", "value": "Find a_n for: 2, 7, 12, 17, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "What is the 12th term of: -3, 1, 5, 9, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find the 4th term: 1, 3, 9, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Calculate the mean of: 8, 12, 15, 20, 25"}, {"from": "assistant", "value": "Mean"}]} |
| {"conversations": [{"from": "human", "value": "What is the median of: 4, 8, 2, 10, 6, 12, 5?"}, {"from": "assistant", "value": "Median"}]} |
| {"conversations": [{"from": "human", "value": "Find the mode of: 3, 5, 3, 8, 3, 7, 5"}, {"from": "assistant", "value": "Mode"}]} |
| {"conversations": [{"from": "human", "value": "What is the range of: 22, 18, 30, 14, 26?"}, {"from": "assistant", "value": "Range"}]} |
| {"conversations": [{"from": "human", "value": "Calculate IQR if Q1 = 15 and Q3 = 35"}, {"from": "assistant", "value": "Interquartile range"}]} |
| {"conversations": [{"from": "human", "value": "Is 60 an outlier if Q1 = 10, Q3 = 20, IQR = 10?"}, {"from": "assistant", "value": "Outliers"}]} |
| {"conversations": [{"from": "human", "value": "Make frequency table: Red, Blue, Red, Green, Blue, Red"}, {"from": "assistant", "value": "Frequency tables"}]} |
| {"conversations": [{"from": "human", "value": "What correlation: points trend upward left to right?"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Line of best fit y = -3x + 10, predict y when x = 4"}, {"from": "assistant", "value": "Line of best fit"}]} |
| {"conversations": [{"from": "human", "value": "What does r = 0.92 indicate?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "Actual = 15, predicted = 13, find residual"}, {"from": "assistant", "value": "Residuals"}]} |
| {"conversations": [{"from": "human", "value": "Compare box plots: median 18 vs median 22"}, {"from": "assistant", "value": "Box plots"}]} |
| {"conversations": [{"from": "human", "value": "More spread: IQR = 5 or IQR = 15?"}, {"from": "assistant", "value": "Variability"}]} |
| {"conversations": [{"from": "human", "value": "Probability of drawing a heart from standard deck"}, {"from": "assistant", "value": "Probability"}]} |
| {"conversations": [{"from": "human", "value": "Create histogram for: 12, 15, 18, 12, 20, 15, 18, 12"}, {"from": "assistant", "value": "Histograms"}]} |
| {"conversations": [{"from": "human", "value": "What is the first quartile in: 5, 8, 12, 15, 18, 22, 25?"}, {"from": "assistant", "value": "Quartiles"}]} |
| {"conversations": [{"from": "human", "value": "Interpret: strong negative correlation"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Standard deviation measures what?"}, {"from": "assistant", "value": "Standard deviation"}]} |
| {"conversations": [{"from": "human", "value": "Which is more reliable: r = 0.3 or r = 0.8?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "What does a residual plot show?"}, {"from": "assistant", "value": "Residual plots"}]} |
| {"conversations": [{"from": "human", "value": "Solve proportion: 2/5 = 8/x"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Cross multiply: a/b = c/d"}, {"from": "assistant", "value": "Cross multiplication"}]} |
| {"conversations": [{"from": "human", "value": "If 4 pencils cost $1.20, what do 7 pencils cost?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: (x+1)/3 = (x-2)/2"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "A recipe for 4 serves needs 2 cups flour. How much for 6 serves?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (x^2 + 3x)/(x)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: (x+2)/3 * 6/(x+2)"}, {"from": "assistant", "value": "Multiplying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Divide: (x^2-1)/(x+1) divided by (x-1)"}, {"from": "assistant", "value": "Dividing rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Add: 2/(x-1) + 3/(x-1)"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Subtract: 5/x - 2/x"}, {"from": "assistant", "value": "Subtracting rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Find LCD: 1/x + 1/(x+1)"}, {"from": "assistant", "value": "Least common denominator"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2/x = 6/(x+4)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "If 6 workers finish in 8 days, how long for 4 workers?"}, {"from": "assistant", "value": "Work problems"}]} |
| {"conversations": [{"from": "human", "value": "What values make (x-3)/(x+2) undefined?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (6x^2)/(3x)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Add: x/(x+1) + 2/(x+1)"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 3/(x+2) = 1/(x-1)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "Domain of (3x-1)/(x^2-4)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Find 15th term: 6, 10, 14, 18, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Common difference: 50, 42, 34, 26, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Explicit formula: 8, 13, 18, 23, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find 8th term: 1, 6, 36, 216, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Common ratio: 4, 20, 100, 500, ...?"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Sum of first 5 terms: 3, 6, 9, 12, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "Is 1, 8, 27, 64, ... arithmetic or geometric?"}, {"from": "assistant", "value": "Sequence types"}]} |
| {"conversations": [{"from": "human", "value": "Recursive formula: 5, 9, 13, 17, ..."}, {"from": "assistant", "value": "Recursive formulas"}]} |
| {"conversations": [{"from": "human", "value": "20th term: 1, 6, 11, 16, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find 5th term: 7, 14, 28, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Calculate mean: 4, 7, 10, 13, 16"}, {"from": "assistant", "value": "Mean"}]} |
| {"conversations": [{"from": "human", "value": "Median of: 2, 5, 8, 11, 14, 17, 20"}, {"from": "assistant", "value": "Median"}]} |
| {"conversations": [{"from": "human", "value": "Mode: 1, 3, 1, 5, 1, 7, 3"}, {"from": "assistant", "value": "Mode"}]} |
| {"conversations": [{"from": "human", "value": "Range: 9, 15, 21, 6, 18?"}, {"from": "assistant", "value": "Range"}]} |
| {"conversations": [{"from": "human", "value": "IQR if Q1 = 20 and Q3 = 45"}, {"from": "assistant", "value": "Interquartile range"}]} |
| {"conversations": [{"from": "human", "value": "Is 75 an outlier if Q1 = 15, Q3 = 25, IQR = 10?"}, {"from": "assistant", "value": "Outliers"}]} |
| {"conversations": [{"from": "human", "value": "Frequency table: Apple, Orange, Apple, Banana, Orange, Apple"}, {"from": "assistant", "value": "Frequency tables"}]} |
| {"conversations": [{"from": "human", "value": "Correlation: points trend downward left to right?"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Line y = 4x + 1, predict y when x = 2"}, {"from": "assistant", "value": "Line of best fit"}]} |
| {"conversations": [{"from": "human", "value": "What does r = 0.65 indicate?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "Actual = 25, predicted = 22, find residual"}, {"from": "assistant", "value": "Residuals"}]} |
| {"conversations": [{"from": "human", "value": "Compare: median 15 vs median 20"}, {"from": "assistant", "value": "Box plots"}]} |
| {"conversations": [{"from": "human", "value": "More spread: IQR = 7 or IQR = 14?"}, {"from": "assistant", "value": "Variability"}]} |
| {"conversations": [{"from": "human", "value": "Probability of drawing a club from deck"}, {"from": "assistant", "value": "Probability"}]} |
| {"conversations": [{"from": "human", "value": "Histogram for: 5, 7, 9, 5, 11, 7, 9, 5"}, {"from": "assistant", "value": "Histograms"}]} |
| {"conversations": [{"from": "human", "value": "Second quartile: 4, 8, 12, 16, 20, 24, 28?"}, {"from": "assistant", "value": "Quartiles"}]} |
| {"conversations": [{"from": "human", "value": "Interpret: weak positive correlation"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Standard deviation measures what?"}, {"from": "assistant", "value": "Standard deviation"}]} |
| {"conversations": [{"from": "human", "value": "Stronger relationship: r = 0.6 or r = 0.9?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "What information do residual plots provide?"}, {"from": "assistant", "value": "Residual plots"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 3/7 = 12/x"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Cross multiply: x/y = z/w"}, {"from": "assistant", "value": "Cross multiplication"}]} |
| {"conversations": [{"from": "human", "value": "If 15 books cost $45, what do 8 books cost?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: (x-2)/4 = (x+1)/6"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "Recipe for 8 needs 3 cups sugar. How much for 12?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Evaluate: 48 ÷ 6 + 5 * 3"}, {"from": "assistant", "value": "Order of operations"}]} |
| {"conversations": [{"from": "human", "value": "What is |-8 + 3|?"}, {"from": "assistant", "value": "Absolute value"}]} |
| {"conversations": [{"from": "human", "value": "Translate: 'five more than three times a number'"}, {"from": "assistant", "value": "Writing expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is the multiplicative inverse of 2/3?"}, {"from": "assistant", "value": "Inverse properties"}]} |
| {"conversations": [{"from": "human", "value": "Which property: (a + b) + c = a + (b + c)?"}, {"from": "assistant", "value": "Associative property"}]} |
| {"conversations": [{"from": "human", "value": "Solve compound: -1 < 2x - 3 <= 7"}, {"from": "assistant", "value": "Compound inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find slope perpendicular to y = -3/4x + 1"}, {"from": "assistant", "value": "Perpendicular lines"}]} |
| {"conversations": [{"from": "human", "value": "Convert 4.25 hours to minutes"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "Is y = |x| a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "Find a_1 if a_15 = 71 and d = 5"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Which decreases fastest: linear, quadratic, or exponential decay?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Sum first 7 terms: 1, 5, 9, 13, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "State the zero product property"}, {"from": "assistant", "value": "Zero product property"}]} |
| {"conversations": [{"from": "human", "value": "Solve: (x+3)(x-8) = 0"}, {"from": "assistant", "value": "Zero product property"}]} |
| {"conversations": [{"from": "human", "value": "Factor: x^2 - 14x + 49"}, {"from": "assistant", "value": "Perfect square trinomials"}]} |
| {"conversations": [{"from": "human", "value": "What constraints define feasible region?"}, {"from": "assistant", "value": "Linear programming"}]} |
| {"conversations": [{"from": "human", "value": "Combine: 12a - 7a + 3a"}, {"from": "assistant", "value": "Combining like terms"}]} |
| {"conversations": [{"from": "human", "value": "Distribute: -4(2x + 5)"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 6x + 7 = 43"}, {"from": "assistant", "value": "Two-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Find x: 7x + 2 = 3x + 18"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 4(x - 3) = 20"}, {"from": "assistant", "value": "Multi-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Isolate h: V = πr²h"}, {"from": "assistant", "value": "Literal equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2x/3 + 1 = 7"}, {"from": "assistant", "value": "Equations with fractions"}]} |
| {"conversations": [{"from": "human", "value": "Find where 4x + 5 < 21"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solve: -3x - 2 >= 10"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solutions to |x - 4| = 9"}, {"from": "assistant", "value": "Absolute value equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve: |2x + 3| < 7"}, {"from": "assistant", "value": "Absolute value inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Graph: x >= -1 on number line"}, {"from": "assistant", "value": "Graphing inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Convert 720 minutes to hours"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "A train travels 300 miles in 5 hours. Find rate"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "Convert 4 feet 8 inches to inches"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "If 25 oranges cost $10, what is cost per orange?"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "Measurement 42.7 mm with error +/- 0.3 mm. Find percent error"}, {"from": "assistant", "value": "Percent error"}]} |
| {"conversations": [{"from": "human", "value": "Is {(1,4), (2,5), (1,6)} a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "Domain of g(x) = sqrt(2x - 6)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Range of h(x) = -x² + 9"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If p(x) = 4x - 7, find p(3)"}, {"from": "assistant", "value": "Function evaluation"}]} |
| {"conversations": [{"from": "human", "value": "Which function type has constant second differences?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Domain of f(x) = 1/(x + 5)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If f(-1) = 8, what point is on graph?"}, {"from": "assistant", "value": "Function notation"}]} |
| {"conversations": [{"from": "human", "value": "Slope between (-2, 4) and (1, -2)"}, {"from": "assistant", "value": "Slope"}]} |
| {"conversations": [{"from": "human", "value": "Slope of y = -2/3x + 5?"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "Equation with slope 3/4 through (8, -1)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "Convert to slope-intercept: 3x + 4y = 12"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "X-intercept of 4x - 3y = 24"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Graph y = -2x + 3"}, {"from": "assistant", "value": "Graphing lines"}]} |
| {"conversations": [{"from": "human", "value": "Phone plan $25 plus $0.10 per minute. Write function"}, {"from": "assistant", "value": "Linear modeling"}]} |
| {"conversations": [{"from": "human", "value": "Y-intercept of 6x - 2y = 18?"}, {"from": "assistant", "value": "Y-intercept"}]} |
| {"conversations": [{"from": "human", "value": "Slope parallel to y = -4x + 7"}, {"from": "assistant", "value": "Parallel lines"}]} |
| {"conversations": [{"from": "human", "value": "Point-slope form: slope -1/2, point (4, 6)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "System: 3x - 2y = 7, x + 2y = 9"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "Substitution: x = 2y, 3x + y = 21"}, {"from": "assistant", "value": "Substitution method"}]} |
| {"conversations": [{"from": "human", "value": "Elimination: 5x + 3y = 19, 2x - 3y = 2"}, {"from": "assistant", "value": "Elimination method"}]} |
| {"conversations": [{"from": "human", "value": "Graph: y <= 3x + 2, y > -x + 1"}, {"from": "assistant", "value": "Systems of inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find vertices: x >= 0, y >= 0, x + 2y <= 12"}, {"from": "assistant", "value": "Linear programming"}]} |
| {"conversations": [{"from": "human", "value": "Solutions to: 5x - 2y = 8, 3x + y = 7?"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "How many solutions: y = 3x + 5, y = 3x - 2?"}, {"from": "assistant", "value": "Systems of equations"}]} |
| {"conversations": [{"from": "human", "value": "Graph method: y = 2x - 1, y = -x + 5"}, {"from": "assistant", "value": "Graphing method"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: x^8 * x^3"}, {"from": "assistant", "value": "Product rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (4a^3)^2"}, {"from": "assistant", "value": "Power rule"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: y^15 / y^6"}, {"from": "assistant", "value": "Quotient rule"}]} |
| {"conversations": [{"from": "human", "value": "What is 15^0?"}, {"from": "assistant", "value": "Zero exponent"}]} |
| {"conversations": [{"from": "human", "value": "Write 0.000078 in scientific notation"}, {"from": "assistant", "value": "Scientific notation"}]} |
| {"conversations": [{"from": "human", "value": "Is y = 0.5^x exponential growth or decay?"}, {"from": "assistant", "value": "Exponential decay"}]} |
| {"conversations": [{"from": "human", "value": "Find 8th term: 2, 7, 12, 17, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find 4th term: 3, 12, 48, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: a^-5"}, {"from": "assistant", "value": "Negative exponents"}]} |
| {"conversations": [{"from": "human", "value": "Write 8,500,000 in scientific notation"}, {"from": "assistant", "value": "Scientific notation"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (5^2)^4"}, {"from": "assistant", "value": "Power rule"}]} |
| {"conversations": [{"from": "human", "value": "What is 7^-3?"}, {"from": "assistant", "value": "Negative exponents"}]} |
| {"conversations": [{"from": "human", "value": "Add: (3x^2 + 5x - 2) + (2x^2 - 3x + 7)"}, {"from": "assistant", "value": "Adding polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Subtract: (8x^2 - 4x + 1) - (5x^2 + 2x - 3)"}, {"from": "assistant", "value": "Subtracting polynomials"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: 3x(2x^2 + 4x - 1)"}, {"from": "assistant", "value": "Multiplying polynomials"}]} |
| {"conversations": [{"from": "human", "value": "FOIL: (x + 3)(x - 7)"}, {"from": "assistant", "value": "FOIL method"}]} |
| {"conversations": [{"from": "human", "value": "Expand: (2x + 5)^2"}, {"from": "assistant", "value": "Perfect square trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor GCF: 12x^3 - 18x^2 + 6x"}, {"from": "assistant", "value": "Greatest common factor"}]} |
| {"conversations": [{"from": "human", "value": "Factor: x^2 + 11x + 28"}, {"from": "assistant", "value": "Factoring trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor: 16x^2 - 9"}, {"from": "assistant", "value": "Difference of squares"}]} |
| {"conversations": [{"from": "human", "value": "Factor by grouping: 3x^3 - 6x^2 + 2x - 4"}, {"from": "assistant", "value": "Factoring by grouping"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: (3x - 2)(2x + 5)"}, {"from": "assistant", "value": "FOIL method"}]} |
| {"conversations": [{"from": "human", "value": "Factor: x^2 - 13x + 42"}, {"from": "assistant", "value": "Factoring trinomials"}]} |
| {"conversations": [{"from": "human", "value": "Factor: 25x^2 - 49"}, {"from": "assistant", "value": "Difference of squares"}]} |
| {"conversations": [{"from": "human", "value": "Vertex of y = x^2 - 8x + 15?"}, {"from": "assistant", "value": "Vertex"}]} |
| {"conversations": [{"from": "human", "value": "Axis of symmetry: y = 2x^2 + 8x - 3"}, {"from": "assistant", "value": "Axis of symmetry"}]} |
| {"conversations": [{"from": "human", "value": "X-intercepts: y = x^2 + 2x - 15"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Vertex form: y = x^2 + 6x - 2"}, {"from": "assistant", "value": "Vertex form"}]} |
| {"conversations": [{"from": "human", "value": "Solve by factoring: x^2 - 5x - 14 = 0"}, {"from": "assistant", "value": "Solving by factoring"}]} |
| {"conversations": [{"from": "human", "value": "Solve: x^2 = 81"}, {"from": "assistant", "value": "Square root method"}]} |
| {"conversations": [{"from": "human", "value": "Complete square: x^2 + 12x - 5"}, {"from": "assistant", "value": "Completing the square"}]} |
| {"conversations": [{"from": "human", "value": "Quadratic formula: 2x^2 - 3x - 2 = 0"}, {"from": "assistant", "value": "Quadratic formula"}]} |
| {"conversations": [{"from": "human", "value": "Discriminant: x^2 - 4x + 4"}, {"from": "assistant", "value": "Discriminant"}]} |
| {"conversations": [{"from": "human", "value": "Ball height h = -16t^2 + 64t + 5. Find max height"}, {"from": "assistant", "value": "Quadratic applications"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 3x^2 - 12x = 0"}, {"from": "assistant", "value": "Solving by factoring"}]} |
| {"conversations": [{"from": "human", "value": "Y-intercept: y = 3x^2 + 7x - 1"}, {"from": "assistant", "value": "Y-intercept"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: sqrt(144)"}, {"from": "assistant", "value": "Square roots"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: sqrt(98)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: 2sqrt(50)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Add: 6sqrt(3) + 4sqrt(3)"}, {"from": "assistant", "value": "Adding radicals"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: sqrt(6) * sqrt(24)"}, {"from": "assistant", "value": "Multiplying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Distance between (1, -3) and (5, 0)"}, {"from": "assistant", "value": "Distance formula"}]} |
| {"conversations": [{"from": "human", "value": "Right triangle: legs 8 and 15, find hypotenuse"}, {"from": "assistant", "value": "Pythagorean theorem"}]} |
| {"conversations": [{"from": "human", "value": "Solve: sqrt(x + 3) = 7"}, {"from": "assistant", "value": "Radical equations"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: sqrt(a^4b^6)"}, {"from": "assistant", "value": "Simplifying radicals"}]} |
| {"conversations": [{"from": "human", "value": "Calculate: 12sqrt(7) - 5sqrt(7)"}, {"from": "assistant", "value": "Subtracting radicals"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (x^2 - 25)/(x + 5)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Multiply: (2x)/(3y) * (9y^2)/(4x^2)"}, {"from": "assistant", "value": "Multiplying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Divide: (x^2 - 9)/(x - 2) ÷ (x + 3)/(x - 4)"}, {"from": "assistant", "value": "Dividing rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Add: 7/a + 2/a"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Subtract: 9/(x+2) - 3/(x+2)"}, {"from": "assistant", "value": "Subtracting rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "LCD for 3/(x-1) + 2/(x+4)?"}, {"from": "assistant", "value": "Least common denominator"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 4/x = 2/(x-3)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "If 2 printers make 80 copies in 5 minutes, how long for 3 printers?"}, {"from": "assistant", "value": "Work problems"}]} |
| {"conversations": [{"from": "human", "value": "Simplify: (4x - 8)/(x - 2)"}, {"from": "assistant", "value": "Simplifying rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Add: 3/(x-2) + 1/(x+1)"}, {"from": "assistant", "value": "Adding rational expressions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2/(x+3) = 4/(x-1)"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "Domain of (2x+1)/(x^2-16)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Find 25th term: 4, 8, 12, 16, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Common difference: 100, 85, 70, 55, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Explicit formula: 12, 17, 22, 27, ..."}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find 7th term: 2, 10, 50, 250, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Common ratio: 1, 7, 49, 343, ...?"}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Sum first 6 terms: 4, 8, 12, 16, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "Is 2, 4, 8, 16, ... arithmetic or geometric?"}, {"from": "assistant", "value": "Sequence types"}]} |
| {"conversations": [{"from": "human", "value": "Recursive formula: 3, 8, 13, 18, ..."}, {"from": "assistant", "value": "Recursive formulas"}]} |
| {"conversations": [{"from": "human", "value": "30th term: 5, 9, 13, 17, ...?"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Find 6th term: 4, 12, 36, ..."}, {"from": "assistant", "value": "Geometric sequences"}]} |
| {"conversations": [{"from": "human", "value": "Mean: 6, 9, 12, 15, 18"}, {"from": "assistant", "value": "Mean"}]} |
| {"conversations": [{"from": "human", "value": "Median: 3, 7, 11, 15, 19, 23, 27"}, {"from": "assistant", "value": "Median"}]} |
| {"conversations": [{"from": "human", "value": "Mode: 2, 4, 2, 6, 2, 8, 4"}, {"from": "assistant", "value": "Mode"}]} |
| {"conversations": [{"from": "human", "value": "Range: 12, 18, 24, 8, 20?"}, {"from": "assistant", "value": "Range"}]} |
| {"conversations": [{"from": "human", "value": "IQR if Q1 = 25 and Q3 = 50"}, {"from": "assistant", "value": "Interquartile range"}]} |
| {"conversations": [{"from": "human", "value": "Is 90 an outlier if Q1 = 20, Q3 = 30, IQR = 10?"}, {"from": "assistant", "value": "Outliers"}]} |
| {"conversations": [{"from": "human", "value": "Frequency table: Cat, Dog, Cat, Bird, Dog, Cat"}, {"from": "assistant", "value": "Frequency tables"}]} |
| {"conversations": [{"from": "human", "value": "Correlation: no clear pattern in scatter plot?"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Line y = 5x - 2, predict y when x = 3"}, {"from": "assistant", "value": "Line of best fit"}]} |
| {"conversations": [{"from": "human", "value": "What does r = -0.85 indicate?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "Actual = 30, predicted = 28, find residual"}, {"from": "assistant", "value": "Residuals"}]} |
| {"conversations": [{"from": "human", "value": "Compare: median 12 vs median 18"}, {"from": "assistant", "value": "Box plots"}]} |
| {"conversations": [{"from": "human", "value": "More spread: IQR = 3 or IQR = 12?"}, {"from": "assistant", "value": "Variability"}]} |
| {"conversations": [{"from": "human", "value": "Probability of drawing a diamond from deck"}, {"from": "assistant", "value": "Probability"}]} |
| {"conversations": [{"from": "human", "value": "Histogram for: 8, 10, 12, 8, 14, 10, 12, 8"}, {"from": "assistant", "value": "Histograms"}]} |
| {"conversations": [{"from": "human", "value": "Third quartile: 6, 12, 18, 24, 30, 36, 42?"}, {"from": "assistant", "value": "Quartiles"}]} |
| {"conversations": [{"from": "human", "value": "Interpret: moderate positive correlation"}, {"from": "assistant", "value": "Correlation"}]} |
| {"conversations": [{"from": "human", "value": "Standard deviation measures spread around what?"}, {"from": "assistant", "value": "Standard deviation"}]} |
| {"conversations": [{"from": "human", "value": "Better prediction: r = 0.4 or r = 0.7?"}, {"from": "assistant", "value": "Correlation coefficient"}]} |
| {"conversations": [{"from": "human", "value": "What do clustered residuals suggest?"}, {"from": "assistant", "value": "Residual plots"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 4/9 = 16/x"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Cross multiply: x/y = z/w"}, {"from": "assistant", "value": "Cross multiplication"}]} |
| {"conversations": [{"from": "human", "value": "If 15 books cost $45, what do 8 books cost?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Solve: (x-2)/4 = (x+1)/6"}, {"from": "assistant", "value": "Rational equations"}]} |
| {"conversations": [{"from": "human", "value": "Recipe for 8 needs 3 cups sugar. How much for 12?"}, {"from": "assistant", "value": "Proportions"}]} |
| {"conversations": [{"from": "human", "value": "Evaluate: 48 ÷ 6 + 5 * 3"}, {"from": "assistant", "value": "Order of operations"}]} |
| {"conversations": [{"from": "human", "value": "What is |-8 + 3|?"}, {"from": "assistant", "value": "Absolute value"}]} |
| {"conversations": [{"from": "human", "value": "Translate: 'five more than three times a number'"}, {"from": "assistant", "value": "Writing expressions"}]} |
| {"conversations": [{"from": "human", "value": "What is the multiplicative inverse of 2/3?"}, {"from": "assistant", "value": "Inverse properties"}]} |
| {"conversations": [{"from": "human", "value": "Which property: (a + b) + c = a + (b + c)?"}, {"from": "assistant", "value": "Associative property"}]} |
| {"conversations": [{"from": "human", "value": "Solve compound: -1 < 2x - 3 <= 7"}, {"from": "assistant", "value": "Compound inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Find slope perpendicular to y = -3/4x + 1"}, {"from": "assistant", "value": "Perpendicular lines"}]} |
| {"conversations": [{"from": "human", "value": "Convert 4.25 hours to minutes"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "Is y = |x| a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "Find a_1 if a_15 = 71 and d = 5"}, {"from": "assistant", "value": "Arithmetic sequences"}]} |
| {"conversations": [{"from": "human", "value": "Which decreases fastest: linear, quadratic, or exponential decay?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Sum first 7 terms: 1, 5, 9, 13, ..."}, {"from": "assistant", "value": "Arithmetic series"}]} |
| {"conversations": [{"from": "human", "value": "State the zero product property"}, {"from": "assistant", "value": "Zero product property"}]} |
| {"conversations": [{"from": "human", "value": "Solve: (x+3)(x-8) = 0"}, {"from": "assistant", "value": "Zero product property"}]} |
| {"conversations": [{"from": "human", "value": "Factor: x^2 - 14x + 49"}, {"from": "assistant", "value": "Perfect square trinomials"}]} |
| {"conversations": [{"from": "human", "value": "What constraints define feasible region?"}, {"from": "assistant", "value": "Linear programming"}]} |
| {"conversations": [{"from": "human", "value": "Combine: 12a - 7a + 3a"}, {"from": "assistant", "value": "Combining like terms"}]} |
| {"conversations": [{"from": "human", "value": "Distribute: -4(2x + 5)"}, {"from": "assistant", "value": "Distributive property"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 6x + 7 = 43"}, {"from": "assistant", "value": "Two-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Find x: 7x + 2 = 3x + 18"}, {"from": "assistant", "value": "Variables on both sides"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 4(x - 3) = 20"}, {"from": "assistant", "value": "Multi-step equations"}]} |
| {"conversations": [{"from": "human", "value": "Isolate h: V = πr²h"}, {"from": "assistant", "value": "Literal equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve: 2x/3 + 1 = 7"}, {"from": "assistant", "value": "Equations with fractions"}]} |
| {"conversations": [{"from": "human", "value": "Find where 4x + 5 < 21"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solve: -3x - 2 >= 10"}, {"from": "assistant", "value": "Linear inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Solutions to |x - 4| = 9"}, {"from": "assistant", "value": "Absolute value equations"}]} |
| {"conversations": [{"from": "human", "value": "Solve: |2x + 3| < 7"}, {"from": "assistant", "value": "Absolute value inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Graph: x >= -1 on number line"}, {"from": "assistant", "value": "Graphing inequalities"}]} |
| {"conversations": [{"from": "human", "value": "Convert 720 minutes to hours"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "A train travels 300 miles in 5 hours. Find rate"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "Convert 4 feet 8 inches to inches"}, {"from": "assistant", "value": "Unit conversions"}]} |
| {"conversations": [{"from": "human", "value": "If 25 oranges cost $10, what is cost per orange?"}, {"from": "assistant", "value": "Unit rates"}]} |
| {"conversations": [{"from": "human", "value": "Measurement 42.7 mm with error +/- 0.3 mm. Find percent error"}, {"from": "assistant", "value": "Percent error"}]} |
| {"conversations": [{"from": "human", "value": "Is {(1,4), (2,5), (1,6)} a function?"}, {"from": "assistant", "value": "Function definition"}]} |
| {"conversations": [{"from": "human", "value": "Domain of g(x) = sqrt(2x - 6)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "Range of h(x) = -x² + 9"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If p(x) = 4x - 7, find p(3)"}, {"from": "assistant", "value": "Function evaluation"}]} |
| {"conversations": [{"from": "human", "value": "Which function type has constant second differences?"}, {"from": "assistant", "value": "Function types"}]} |
| {"conversations": [{"from": "human", "value": "Domain of f(x) = 1/(x + 5)?"}, {"from": "assistant", "value": "Domain and range"}]} |
| {"conversations": [{"from": "human", "value": "If f(-1) = 8, what point is on graph?"}, {"from": "assistant", "value": "Function notation"}]} |
| {"conversations": [{"from": "human", "value": "Slope between (-2, 4) and (1, -2)"}, {"from": "assistant", "value": "Slope"}]} |
| {"conversations": [{"from": "human", "value": "Slope of y = -2/3x + 5?"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "Equation with slope 3/4 through (8, -1)"}, {"from": "assistant", "value": "Point-slope form"}]} |
| {"conversations": [{"from": "human", "value": "Convert to slope-intercept: 3x + 4y = 12"}, {"from": "assistant", "value": "Slope-intercept form"}]} |
| {"conversations": [{"from": "human", "value": "X-intercept of 4x - 3y = 24"}, {"from": "assistant", "value": "X-intercepts"}]} |
| {"conversations": [{"from": "human", "value": "Graph y = -2x + 3"}, {"from": "assistant", "value": "Graphing lines"}]} |
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