{"conversations": [{"from": "assistant", "value": "What is the horizontal asymptote of y = 2 ^ x + 3?"}, {"from": "human", "value": "I don't know what an asymptote is."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Horizontal asymptote concept is new.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify the rational expression (x - 4)/(x - 2)."}, {"from": "human", "value": "I don't know how to simplify fractions with x."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Rational expression simplification is new.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What does the discriminant tell you?"}, {"from": "human", "value": "I don't know what discriminant means."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Discriminant concept is new.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Define the degree of a polynomial."}, {"from": "human", "value": "What is a degree?"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Degree of a polynomial is unfamiliar.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is a^0 equal to?"}, {"from": "human", "value": "I'm not sure what zero exponent means."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Zero-exponent rule is unknown to the student.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Explain what an absolute-value inequality is."}, {"from": "human", "value": "Never heard of that."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Absolute - value inequalities are a new concept for the student.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What makes two lines parallel?"}, {"from": "human", "value": "I'm not familiar with that idea."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Parallel - line criterion is new to the student.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Rewrite 'half of the sum of y and 10' as an algebraic expression."}, {"from": "human", "value": "I'm not sure what 'sum' means in algebra."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Student doesn't know terminology for algebraic translation.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Calculate median of 1,3,5,7,9."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User did not provide a median.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Define inverse function."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User new to inverse concept.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Explain axis of symmetry."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User unaware of axis of symmetry.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is the vertex form of a parabola?"}, {"from": "human", "value": "I don't know what vertex form means."}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Vertex form concept is new to the student.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is the vertex of a quadratic?"}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User does not know vertex definition.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Explain trinomial."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User unaware of trinomial concept.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Define zero exponent rule."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User unfamiliar with exponent laws.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is the substitution method?"}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User does not know substitution method.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What does it mean to isolate a variable?"}, {"from": "human", "value": "to get x alone"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"The user appears new to solving equations.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Define inequality."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"User doesn't know inequality meaning.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Rationalize: 1/(x +1)."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 1, \"info\": \"Student unfamiliar with rationalization concept.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve (x - 2) / (x + 1) = 0. Set numerator to zero."}, {"from": "human", "value": "x - 2 = 0, x = 2"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Correct numerator but didn't check denominator! = 0.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Rationalize the denominator of 1/3."}, {"from": "human", "value": "Multiply by 3 / 3 = 3 / 3"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Correct process but numerator should be 1.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Graph y = x^2 - 4. Where does it open?"}, {"from": "human", "value": "Downward"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Mis - applied; a = 1 means upward.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: x^3 * x^4."}, {"from": "human", "value": "x^12"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Mis-applied product rule: exponents should add ( 3 + 4 = 7 ), not multiply (3 * 4 = 12).\"}"}]}
{"conversations": [{"from": "assistant", "value": "Parallel distinct lines give what type of system?"}, {"from": "human", "value": "Infinite solutions"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Parallel distinct lines have no solution.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Write the solution to x > 4 in interval notation."}, {"from": "human", "value": "(-, 4]"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Used a bracket instead of a parenthesis; 4 is not included.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find the slope of a line perpendicular to y = 1 / 2x + 9."}, {"from": "human", "value": "Slope = - 1 / 2"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Only changed sign; should take negative reciprocal ( - 2 ) .\"}"}]}
{"conversations": [{"from": "assistant", "value": "Write an expression for 'the product of 6 and the difference of y and 1'."}, {"from": "human", "value": "6y - 1"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"Concept error: should be 6 ( y - 1 ) ; parentheses around the difference are needed.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Domain of f*(x) = 1 / x."}, {"from": "human", "value": "x! = 0"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User forgot to exclude zero.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Rationalize: 1/2."}, {"from": "human", "value": "2/2"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User did denominator rationalization wrong.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve using quadratic formula: x ^ 2 + 2x - 3 = 0."}, {"from": "human", "value": "x = 1"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User used formula but dropped one solution.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Add: 1/x + 1/x."}, {"from": "human", "value": "2/x^2"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User added denominators instead of creating common denominator.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Factor: x^2+5x+6."}, {"from": "human", "value": "x*(x+5)+6"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User applied grouping incorrectly.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Determine solution of system with parallel lines."}, {"from": "human", "value": "Infinite"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User confused parallel with infinite solutions.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Translate: 'twice a number plus seven'."}, {"from": "human", "value": "x*2 + 7"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User used multiplication symbol incorrectly.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find intercepts of 2x + 3y = 12."}, {"from": "human", "value": "x = 6,y = 4"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User swapped intercept values.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find slope of y = 4x - 1."}, {"from": "human", "value": "x = 4"}, {"from": "assistant", "value": "{\"error\": 2, \"info\": \"User mixed variable and coefficient.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify 12."}, {"from": "human", "value": "(43) = 43"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Misunderstood; 4 = 2, so 23.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Convert y = x^2 - 2x - 3 to vertex form."}, {"from": "human", "value": "y = (x - 1)"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Incorrect completion; missed constant adjustment.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Expand (x + 1)^2."}, {"from": "human", "value": "x^2 + 1"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Left out 2x term; misunderstanding of binomial square.\"}"}]}
{"conversations": [{"from": "assistant", "value": "To minimize C = 4x + y, what's the procedure after graphing constraints?"}, {"from": "human", "value": "Pick the smallest x value and the smallest y value separately"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Need to evaluate C at each vertex, not independent minima.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Graph x > 2 on a number line. How many points should you draw?"}, {"from": "human", "value": "Just one point at 2."}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Thinks inequality solution is a single point instead of a half - line.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Two lines are parallel if their slopes multiply to 1-true or false?"}, {"from": "human", "value": "True"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Fundamental misunderstanding: parallel lines have equal slopes, not product 1.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: 4a + 2a."}, {"from": "human", "value": "6a^2"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"Misunderstanding of combining like terms - introduced exponent.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find f*(3)*for f*(x) = x ^ 2."}, {"from": "human", "value": "9"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User lacks understanding of function evaluation.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Compute (fg)*(x)*for f*(x) = x + 2,g*(x) = x - 2."}, {"from": "human", "value": "0"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User doesn't understand composition.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Rationalize: 5/(x)."}, {"from": "human", "value": "5x/x"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User missing denominator term.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: 1 / (x - 3) = 0."}, {"from": "human", "value": "x = 0"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User misinterpreted equation.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: x - y = 2, 2x - 2y = 5."}, {"from": "human", "value": "x = 2.5,y = 0.5"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User lacks understanding of solution consistency.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: x^0."}, {"from": "human", "value": "0"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User lacks understanding that x ^ 0 = 1.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Graph - 3 < = x < 2."}, {"from": "human", "value": "x> -3 and x<2"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User misread inclusive bounds.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Graph line y = 5x + 1, identify intercept."}, {"from": "human", "value": "x = 1"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User confused intercept types.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find slope of horizontal line."}, {"from": "human", "value": "0"}, {"from": "assistant", "value": "{\"error\": 3, \"info\": \"User doesn't understand horizontal line slope.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve 3 / (x - 2) = 6. Multiply by (x - 2) ."}, {"from": "human", "value": "3 = 6x - 12"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Arithmetic error; 6 ( x - 2 ) = 6x - 12.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve x = 5. Compute x."}, {"from": "human", "value": "x = 20"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation error; 5 = 25.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find product (x - 3) * (x - 8) and give the x-term."}, {"from": "human", "value": "11x"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Coefficient error; middle term is - 11x.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Compute 2^4 / 2^1."}, {"from": "human", "value": "2"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation error: 2^4 / 2^1 = 2^3 = 8, not 2.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve 3x = 15 during elimination."}, {"from": "human", "value": "x = 6"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"15 / 3 is not 6.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve 9 < = 3x by dividing both sides by 3. What inequality results?"}, {"from": "human", "value": "x < = 3"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Direction kept but symbol wrong; should be x > = 3.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Calculate the slope between (2, 7)*and (5, 1)."}, {"from": "human", "value": "Slope = (1 - 7) / (5 - 2) = - 5 / 3"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Arithmetic slip: numerator is - 6, slope should be - 6 / 3 = - 2.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find inverse of f*(x) = x - 5."}, {"from": "human", "value": "f ^ { - 1} (x) = x + 5"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation error in inverse.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Evaluate g*(f*(x))*for f = x + 2,g = x ^ 2."}, {"from": "human", "value": "g*(f*(x)) = x ^ 2 + 4"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation error expanding.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: (x^2-1)/(x-1)."}, {"from": "human", "value": "x+1"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation mistake in factoring.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Multiply: (3/x)*(x/6)."}, {"from": "human", "value": "1/2"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation mistake multiplying fractions.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: x - 2y = 0 and 4x + y = 9."}, {"from": "human", "value": "x = 1,y = 2"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake solving for y.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Convert 1.2e3 to standard."}, {"from": "human", "value": "120"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation mistake moving decimal.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: x+5>8."}, {"from": "human", "value": "x>2"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Calculation error: 8 - 5 = 2 instead of 3.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Write equation for slope 1/2 and intercept -2."}, {"from": "human", "value": "y = 2x - 2"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Arithmetic error using fraction.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: 6y - 4y."}, {"from": "human", "value": "3y"}, {"from": "assistant", "value": "{\"error\": 4, \"info\": \"Arithmetic mistake in coefficient subtraction.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve x = 3."}, {"from": "human", "value": "I love math!"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"Off-topic response.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find the axis of symmetry for y = x^2 - 6x + 2."}, {"from": "human", "value": "I like quadratic equations!"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"Off-topic response.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Give one root of x - 1 = 0."}, {"from": "human", "value": "Red"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"Non-numeric, nonsensical answer.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is x^2 called?"}, {"from": "human", "value": "I think math is pretty cool!"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"Off-topsic response.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Indicate which region to shade for y >= x."}, {"from": "human", "value": ""}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"No answer was given.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Identify the slope in y = - 4x + 2."}, {"from": "human", "value": ""}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"No response provided.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: 2y + 6 = 14."}, {"from": "human", "value": "y = apple"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"Nonsensical variable value.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Define outlier."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User gave unrelated definition.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: (x + 3) / (x - 3) = 2."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User gave invalid solution.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: 1/(x+1) + x."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User combined inapplicable terms.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Convert 0.03e2."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User did not provide a solution.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: x + y = 5, 2x + 2y = 10."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User wrote same equation twice.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Explain half-life."}, {"from": "human", "value": "N/A"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User gave unrelated concept.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: 3*(x + 2)."}, {"from": "human", "value": "3x + 2"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User omitted distribution step.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Translate: 'x is at most 3'."}, {"from": "human", "value": "x<3"}, {"from": "assistant", "value": "{\"error\": 5, \"info\": \"User wrote < instead of.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Multiply (x/3) * (6/x)."}, {"from": "human", "value": "(6x) / (3x) = 2"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct multiplication and simplification.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify (x^2 - 4) / (x^2 + 4x + 4)."}, {"from": "human", "value": "(x - 2)/(x + 2)"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct simplification to (x - 2)/(x + 2).\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find the vertex x-coordinate of y = x^2 + 8x + 3."}, {"from": "human", "value": "x = - 8 / (2*1) = - 4"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct use of vertex formula.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Expand (x + 4)*(x + 1)."}, {"from": "human", "value": "x^2 + 5x + 4"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct binomial product.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: x^5 / x^2."}, {"from": "human", "value": "x^3"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct application of quotient rule.\"}"}]}
{"conversations": [{"from": "assistant", "value": "For P = 5x + 2y, evaluate at corner (0,3) ."}, {"from": "human", "value": "P = 6"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct evaluation 5*0 + 2*3 = 6.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Add 4 to both sides of the inequality y - 4 > -1. What is the new inequality?"}, {"from": "human", "value": "y > 3"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct first step after adding 4 to both sides.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: x / 4 = 3."}, {"from": "human", "value": "Multiply both sides by 4"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"Correct first move to isolate x.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Compose f*(x) = x + 1,g*(x) = 2x."}, {"from": "human", "value": "f*(g*(x)) = 2x + 1"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct composition.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Write explicit formula for geometric sequence 3,6,12."}, {"from": "human", "value": "an = 3 * 2 ^ (n - 1)"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct formula.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: (x + 2) = 5."}, {"from": "human", "value": "x = 23"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct solution.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Simplify: (16)."}, {"from": "human", "value": "4"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct simplification.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Factor: x^2+5x+6."}, {"from": "human", "value": "(x+2)*(x+3)"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct factoring.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Graph: y = 2x and y = x + 1, find intersection."}, {"from": "human", "value": "(1,3)"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct intersection.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Solve: 2x + y = 5 and 4x + 2y = 10."}, {"from": "human", "value": "Infinite solutions"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: dependent system.\"}"}]}
{"conversations": [{"from": "assistant", "value": "What is the slope of y = 2x + 3?"}, {"from": "human", "value": "2"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct slope.\"}"}]}
{"conversations": [{"from": "assistant", "value": "Find slope from (0,5)*and (5,0)."}, {"from": "human", "value": "-1"}, {"from": "assistant", "value": "{\"error\": 6, \"info\": \"No error: correct slope.\"}"}]}