Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25001	Solve for x	y=(x+2)/(x-1)	$y = \frac{x + 2}{x - 1}$
25002	Find the Concavity	-1/5x^5-x^4	$- \frac{1}{5} x^{5} - x^{4}$
25003	Simplify the Radical Expression	- square root of 36+ square root of -36+ square root of 16+ square root of -9	$- \sqrt{36} + \sqrt{- 36} + \sqrt{16} + \sqrt{- 9}$
25004	Simplify	(3x^2-x)+5x^3+(-4x^3+x^2-8)	$(3 x^{2} - x) + 5 x^{3} + (- 4 x^{3} + x^{2} - 8)$
25005	Find Where Increasing/Decreasing	x^2e^x	$x^{2} e^{x}$
25006	Evaluate	(15-4)+3-(12-5*2)+(5+16÷4)-5+(10-2^3)	$(15 - 4) + 3 - (12 - 5 \cdot 2) + (5 + 16 \div 4) - 5 + (10 - 2^{3})$
25007	Solve the Inequality for x	-x-4<=x-12<=-x+2	$- x - 4 \leq x - 12 \leq - x + 2$
25008	Find the Exact Value	arcsin(sin((9pi)/12))	$\arcsin (\sin (\frac{9 π}{12}))$
25009	Simplify	((2x)/(x-3))^2+3	${(\frac{2 x}{x - 3})}^{2} + 3$
25010	Simplify	(5x^2y)/( fourth root of x^4y^3)	$\frac{5 x^{2} y}{\sqrt[4]{x^{4} y^{3}}}$
25011	Solve for b	(8b)/15=3/5	$\frac{8 b}{15} = \frac{3}{5}$
25012	Find the LCD	(4x)/(x+6) and 1/(6x)	$\frac{4 x}{x + 6}$ and $\frac{1}{6 x}$
25013	Solve by Factoring	x^2-18x+209=2x+11	$x^{2} - 18 x + 209 = 2 x + 11$
25014	Solve the Inequality for x	5x^2-34x+8<=7x	$5 x^{2} - 34 x + 8 \leq 7 x$
25015	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,7) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 2, 7)$ and has a slope of $- 2$ ?
25016	Solve the Inequality for x	y<x+4	$y < x + 4$
25017	Solve for n	33/4=n^(-1/3)+8	$\frac{33}{4} = n^{- \frac{1}{3}} + 8$
25018	Solve for t	6-1/t=5/(t^2)	$6 - \frac{1}{t} = \frac{5}{t^{2}}$
25019	Find Amplitude, Period, and Phase Shift	y=1/7sin(6x)-3	$y = \frac{1}{7} \sin (6 x) - 3$
25020	Solve for x	2x^2+36=x^2	$2 x^{2} + 36 = x^{2}$
25021	Multiply	3/4*12/27	$\frac{3}{4} \cdot \frac{12}{27}$
25022	Determine if True	sin(theta)sec(theta)=tan(theta)	$\sin (θ) \sec (θ) = \tan (θ)$
25023	Solve for q	p=2/(q^2)+3/r	$p = \frac{2}{q^{2}} + \frac{3}{r}$
25024	Simplify	fourth root of x^5 fifth root of x^2	$\sqrt[4]{x^{5}} \sqrt[5]{x^{2}}$
25025	Simplify	(6x-7x^2+7)-(5x^2+2x-2x^3-1)	$(6 x - 7 x^{2} + 7) - (5 x^{2} + 2 x - 2 x^{3} - 1)$
25026	Evaluate	(y^8)/(x^-3x^7y^6)	$\frac{y^{8}}{x^{- 3} x^{7} y^{6}}$
25027	Simplify	2^53^24^3	$2^{5} \cdot 3^{2} \cdot 4^{3}$
25028	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,1) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(4, 1)$ and has a slope of $\frac{5}{4}$ ?
25029	Find the Product	(-6x-7y^2)^2	${(- 6 x - 7 y^{2})}^{2}$
25030	Evaluate	(4\|-6\|)/2+\|-6-3\|	$\frac{4 \| - 6 \|}{2} + \| - 6 - 3 \|$
25031	Solve for x	x-2/2=3x+8/4	$x - \frac{2}{2} = 3 x + \frac{8}{4}$
25032	Evaluate	-186/200+0.3	$- \frac{186}{200} + 0.3$
25033	Find the Product	-4n(-5n^3-1)	$- 4 n (- 5 n^{3} - 1)$
25034	Solve the Rational Equation for x	4+ square root of x/9=5	$4 + \sqrt{\frac{x}{9}} = 5$
25035	Evaluate the Limit	limit as x approaches 0 of x^2=0	$lim_{x \to 0} x^{2} = 0$
25036	Solve for r	r/(r-2)-5=2/(r-2)	$\frac{r}{r - 2} - 5 = \frac{2}{r - 2}$
25037	Graph	x/x	$\frac{x}{x}$
25038	Solve the Rational Equation for x	x-10 = square root of 9x	$x - 10 = \sqrt{9 x}$
25039	Find the Asymptotes	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
25040	Simplify	x^3y^-1xyx^-2y^2	$x^{3} y^{- 1} \cdot x y \cdot x^{- 2} y^{2}$
25041	Evaluate the Integral	integral of (5cos(x)-2sec(x)^2) with respect to x	$\int (5 \cos (x) - 2 \sec^{2} (x)) d x$
25042	Solve the Rational Equation for c	square root of c=4	$\sqrt{c} = 4$
25043	Solve the Inequality for x	7+2/x<-5/x	$7 + \frac{2}{x} < \frac{- 5}{x}$
25044	Solve for θ	csc(theta) = square root of 1+(-12/5)^2	$\csc (θ) = \sqrt{1 + {(- \frac{12}{5})}^{2}}$
25045	Simplify	(m^-2n^4m^2)^-3	${(m^{- 2} n^{4} m^{2})}^{- 3}$
25046	Solve for p	b=2(p+5)-10	$b = 2 (p + 5) - 10$
25047	Factor	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
25048	Solve the Inequality for y	7>=-3/2y+1	$7 \geq - \frac{3}{2} y + 1$
25049	Evaluate	2x^5y*3x^2y	$2 x^{5} y \cdot 3 x^{2} y$
25050	Find dy/dx	y=(1-2x^2)/(2x^2-5)	$y = \frac{1 - 2 x^{2}}{2 x^{2} - 5}$
25051	Solve for x	5/(x+1)-1/(1-x)=x/(x-1)	$\frac{5}{x + 1} - \frac{1}{1 - x} = \frac{x}{x - 1}$
25052	Find the Domain	((x^2+x^3)/(11a^2))÷((4+4x)/(a^3))	$\frac{x^{2} + x^{3}}{11 a^{2}} \div \frac{4 + 4 x}{a^{3}}$
25053	Simplify	square root of 20x^3y* square root of 4xy^6	$\sqrt{20 x^{3} y} \cdot \sqrt{4 x y^{6}}$
25054	Simplify	f(x) = square root of 216a^6b^8	$f (x) = \sqrt{216 a^{6} b^{8}}$
25055	Evaluate Using L'Hospital's Rule	limit as x approaches 0 from the right of -x natural log of x	$lim_{x \to 0^{+}} - x \ln (x)$
25056	Evaluate the Integral	integral from 3 to 12 of square root of \|-2x-2\| with respect to x	$\int_{3}^{12} \sqrt{\| - 2 x - 2 \|} d x$
25057	Solve for x	15(x-3)-14x>=14	$15 (x - 3) - 14 x \geq 14$
25058	Simplify	(x^-1)/(x-x^-1)	$\frac{x^{- 1}}{x - x^{- 1}}$
25059	Find the Inverse	f(x)=(4x)^(5/3)	$f (x) = {(4 x)}^{\frac{5}{3}}$
25060	Simplify	4/(2pi)	$\frac{4}{2 π}$
25061	Evaluate Using the Given Value	Evaluate (8x)/y when x=2 and y=4	Evaluate $\frac{8 x}{y}$ when $x = 2$ and $y = 4$
25062	Simplify	x-5-6x+7	$x - 5 - 6 x + 7$
25063	Factor	Factor: 42p^4+9p^3q^2-18p^2q^2	Factor: $42 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}$
25064	Evaluate	-5000 natural log of 0.9	$- 5000 \ln (0.9)$
25065	Convert to Rectangular	theta=30 degrees	$θ = 30 °$
25066	Evaluate	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$
25067	Solve the Rational Equation for x	square root of x-6 = square root of 36-2x	$\sqrt{x - 6} = \sqrt{36 - 2 x}$
25068	Multiply	-4 cube root of 2*3 cube root of 4	$- 4 \sqrt[3]{2} \cdot 3 \sqrt[3]{4}$
25069	Simplify	2^4*4^-2	$2^{4} \cdot 4^{- 2}$
25070	Simplify	2ab^3c(a-3b^3)	$2 a b^{3} c (a - 3 b^{3})$
25071	Evaluate	(1/2)÷((- square root of 3)/2)	$\frac{1}{2} \div \frac{- \sqrt{3}}{2}$
25072	Solve the Inequality for x	3x^2+14x+5<=3x-3	$3 x^{2} + 14 x + 5 \leq 3 x - 3$
25073	Subtract	(b^4-8b^2+6b)-(9b^4-4b^3+4b^2+8b)	$(b^{4} - 8 b^{2} + 6 b) - (9 b^{4} - 4 b^{3} + 4 b^{2} + 8 b)$
25074	Simplify	3-(2x-y)/4+(x+4y)/12	$3 - \frac{2 x - y}{4} + \frac{x + 4 y}{12}$
25075	Simplify	csc(x)-(cot(x)^2)/(csc(x))	$\csc (x) - \frac{\cot^{2} (x)}{\csc (x)}$
25076	Rationalize the Denominator	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
25077	Solve for x	2x<x+22	$2 x < x + 22$
25078	Evaluate	( square root of 27)^3	${(\sqrt[2]{27})}^{3}$
25079	Simplify	(2x+1-1/(1-2x))÷(2x-(4x^2)/(2x-1))	$(2 x + 1 - \frac{1}{1 - 2 x}) \div (2 x - \frac{4 x^{2}}{2 x - 1})$
25080	Solve the Function Operation	If Q(x)=7x^2-1 ; find Q(-10)	If $Q (x) = 7 x^{2} - 1$ ; find $Q (- 10)$
25081	Evaluate the Limit	limit as x approaches 0 of (2-e^(2x))^(1/x)	$lim_{x \to 0} {(2 - e^{2 x})}^{\frac{1}{x}}$
25082	Solve for x	a/(x+a)+b/(x-b)=(a+b)/(x+c)	$\frac{a}{x + a} + \frac{b}{x - b} = \frac{a + b}{x + c}$
25083	Find the Product	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
25084	Factor	9x^3+9x^2y-x-y	$9 x^{3} + 9 x^{2} y - x - y$
25085	Find the Derivative Using Product Rule - d/dx	x natural log of x	$x \ln (x)$
25086	Factor by Grouping	4y-10xy+35x-14	$4 y - 10 x y + 35 x - 14$
25087	Solve for x	-4(x-2)=-2(x-17/2)	$- 4 (x - 2) = - 2 (x - \frac{17}{2})$
25088	Find the Asymptotes	(2(3x-10))/(3(5x+9))	$\frac{2 (3 x - 10)}{3 (5 x + 9)}$
25089	Solve for x	(1/3)^2*(1/3)^x=1/729	${(\frac{1}{3})}^{2} \cdot {(\frac{1}{3})}^{x} = \frac{1}{729}$
25090	Simplify	( square root of 2pi)/( square root of 5)	$\frac{\sqrt{2} π}{\sqrt{5}}$
25091	Solve the Inequality for x	3(x-2)-9x+18<=0	$3 (x - 2) - 9 x + 18 \leq 0$
25092	Evaluate	(1+0.03/4)^(4/12)-1	${(1 + \frac{0.03}{4})}^{\frac{4}{12}} - 1$
25093	Solve the Inequality for y	y-11>4	$y - 11 > 4$
25094	Simplify	(x+y)^2-2xy	${(x + y)}^{2} - 2 x y$
25095	Combine Like Terms	-18+3(5x-2)+8	$- 18 + 3 (5 x - 2) + 8$
25096	Solve for m	square root of 5m+6+ square root of 3m+4=0	$\sqrt{5 m + 6} + \sqrt{3 m + 4} = 0$
25097	Subtract	(3/5x+3/4)-(1/3x-1/8)	$(\frac{3}{5} x + \frac{3}{4}) - (\frac{1}{3} x - \frac{1}{8})$
25098	Solve the Rational Equation for x	square root of 3x-2=6	$\sqrt{3 x - 2} = 6$
25099	Simplify	(x^3+3x^2+1)(3x^2+6x-2)	$(x^{3} + 3 x^{2} + 1) (3 x^{2} + 6 x - 2)$
25100	Find the Tangent Line at (-1,2)	f(x)=-2x^3 at (-1,2)	$f (x) = - 2 x^{3}$ at $(- 1, 2)$