Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225001	Solve for x	4^(x-1)=2*4^(x-4)	$4^{x - 1} = 2 \cdot 4^{x - 4}$
225002	Solve for x	-4 square root of x-6=-20	$- 4 \sqrt{x} - 6 = - 20$
225003	Solve the Inequality for x	y<=x+4	$y \leq x + 4$
225004	Solve the System of Equations	4x+2y=-14 and 7x-y=16	$4 x + 2 y = - 14$ and $7 x - y = 16$
225005	Simplify	(((x-4)^2)/(3x))÷((x^2-16)/(x+4))	$\frac{{(x - 4)}^{2}}{3 x} \div \frac{(x^{2} - 16)}{x + 4}$
225006	Simplify the Radical Expression	square root of 1/(h^-5*h^6)	$\sqrt{\frac{1}{h^{- 5} \cdot h^{6}}}$
225007	Convert to Interval Notation	x<3 and x>-2	$x < 3$ and $x > - 2$
225008	Solve for x	x^2+(1/2)^2=1^2	$x^{2} + {(\frac{1}{2})}^{2} = 1^{2}$
225009	Graph	f(x)=(2-x)^2	$f (x) = {(2 - x)}^{2}$
225010	Solve for t	(t-3)^(1/3)=2	${(t - 3)}^{\frac{1}{3}} = 2$
225011	Solve for x	5x-6=3x-6+2x	$5 x - 6 = 3 x - 6 + 2 x$
225012	Solve for x	3e^(x+1)-7=23	$3 e^{x + 1} - 7 = 23$
225013	Evaluate Using the Given Value	S=4LW+4wh+3(hL) ; for h	$S = 4 L W + 4 w h + 3 hL$ ; for $h$
225014	Simplify	(6z^4+3z^2-9)(3z^2-6)^-1	$(6 z^{4} + 3 z^{2} - 9) {(3 z^{2} - 6)}^{- 1}$
225015	Simplify	(14x^5y^3*3x^4y^9)/(6x^3y^4)	$\frac{14 x^{5} y^{3} \cdot 3 x^{4} y^{9}}{6 x^{3} y^{4}}$
225016	Factor	x^4-(x-z)^4	$x^{4} - {(x - z)}^{4}$
225017	Evaluate	32(-3/5)	$32 (\frac{- 3}{5})$
225018	Solve the Inequality for x	2x^2-21x+4>=-7x-8	$2 x^{2} - 21 x + 4 \geq - 7 x - 8$
225019	Simplify	4/( square root of 3p^6)	$\frac{4}{\sqrt{3 p^{6}}}$
225020	Solve for v	w^2-v^2=u^2	$w^{2} - v^{2} = u^{2}$
225021	Simplify	-7+3(x-2)+5	$- 7 + 3 (x - 2) + 5$
225022	Rationalize the Denominator	( square root of 3+ square root of 7)/( square root of 3- square root of 7)	$\frac{\sqrt{3} + \sqrt{7}}{\sqrt{3} - \sqrt{7}}$
225023	Simplify	fourth root of (1024m^10n^4p^12)/(4m^2p^4)	$\sqrt[4]{\frac{1024 m^{10} n^{4} p^{12}}{4 m^{2} p^{4}}}$
225024	Simplify	square root of fourth root of 4	$\sqrt{\sqrt[4]{4}}$
225025	Simplify	3(5+ square root of 21)	$3 (5 + \sqrt{21})$
225026	Evaluate	((x+7)/2)(6/x)	$(\frac{x + 7}{2}) (\frac{6}{x})$
225027	Find the Degree	x^4+2x^3-5x^2+7x=21	$x^{4} + 2 x^{3} - 5 x^{2} + 7 x = 21$
225028	Factor by Grouping	a^8-a^2b^6	$a^{8} - a^{2} b^{6}$
225029	Simplify	(e^3)/(e^(x+3))	$\frac{e^{3}}{e^{x + 3}}$
225030	Solve the System of Equations	p-6q+4r=2 2p+4q-8r=16 p-2q=5	$p - 6 q + 4 r = 2$ $2 p + 4 q - 8 r = 16$ $p - 2 q = 5$
225031	Simplify	(3x^2-2xy)/(2x)	$\frac{3 x^{2} - 2 x y}{2 x}$
225032	Solve the System of Equations	2x-4y=-2 and -x+8y=-23	$2 x - 4 y = - 2$ and $- x + 8 y = - 23$
225033	Simplify	(8 square root of 2)/(2 square root of 8)	$\frac{8 \sqrt{2}}{2 \sqrt{8}}$
225034	Simplify	(d^2)/d*8d^5	$\frac{d^{2}}{d} \cdot 8 d^{5}$
225035	Simplify	square root of 7x^4* square root of 8x^7	$\sqrt{7 x^{4}} \cdot \sqrt{8 x^{7}}$
225036	Factor by Grouping	11x-xy+11y-x^2	$11 x - x y + 11 y - x^{2}$
225037	Solve for b	b+1=2b	$b + 1 = 2 b$
225038	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,3) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(- 6, 3)$ and has a slope of $- \frac{1}{6}$ ?
225039	Evaluate	65% of 80	$65 %$ of $80$
225040	Evaluate	4.8+2.2w-1.4w+2.4	$4.8 + 2.2 w - 1.4 w + 2.4$
225041	Solve the Inequality for x	-4x<=10-6x	$- 4 x \leq 10 - 6 x$
225042	Solve by Completing the Square	5x^2-57x=3x-120	$5 x^{2} - 57 x = 3 x - 120$
225043	Factor	Factor 2x^2+4x-30	Factor $2 x^{2} + 4 x - 30$
225044	Simplify	(-9b^-5)/((-3b^-1*b^-4)^3)	$\frac{- 9 b^{- 5}}{{(- 3 b^{- 1} \cdot b^{- 4})}^{3}}$
225045	Solve for x	6x-(2x+3)>4x-5	$6 x - (2 x + 3) > 4 x - 5$
225046	Solve for x	(11x)/10+2=(9x)/8	$\frac{11 x}{10} + 2 = \frac{9 x}{8}$
225047	Solve the System of Equations	y=2x-3 y-2x=-3	$y = 2 x - 3$ $y - 2 x = - 3$
225048	Simplify	((5^3)^2)/((5^2)^4)	$\frac{{(5^{3})}^{2}}{{(5^{2})}^{4}}$
225049	Graph	f(x)=3cot(2(x-pi/2))+2	$f (x) = 3 \cot (2 (x - \frac{π}{2})) + 2$
225050	Solve the Inequality for x	x<2x-(-8x+6/5)	$x < 2 x - (- 8 x + \frac{6}{5})$
225051	Simplify	(m^2)/( cube root of m)	$\frac{m^{2}}{\sqrt[3]{m}}$
225052	Simplify	(x^2-1)/(x+2)*(2x+4)/(2-2x^2)	$\frac{x^{2} - 1}{x + 2} \cdot \frac{2 x + 4}{2 - 2 x^{2}}$
225053	Find the Product	-3(2x^4)(4x^5y)^2	$- 3 (2 x^{4}) {(4 x^{5} y)}^{2}$
225054	Subtract	5/(x^2)-3/(6x^2+12x)	$\frac{5}{x^{2}} - \frac{3}{6 x^{2} + 12 x}$
225055	Solve for a	61/28+a=19/4a-11/7	$\frac{61}{28} + a = \frac{19}{4} a - \frac{11}{7}$
225056	Solve for d	dx+3x=12	$d x + 3 x = 12$
225057	Graph	-1>(12+x)/4	$- 1 > \frac{12 + x}{4}$
225058	Multiply	(y^2-2.4y+6)*1.5y	$(y^{2} - 2.4 y + 6) \cdot 1.5 y$
225059	Identify the Zeros and Their Multiplicities	f(x)=36x^4-12x^3+x^2	$f (x) = 36 x^{4} - 12 x^{3} + x^{2}$
225060	Write in y=mx+b Form	y=-3x	$y = - 3 x$
225061	Evaluate	-2(3)^3+3^2-3*3+4	$- 2 {(3)}^{3} + 3^{2} - 3 \cdot 3 + 4$
225062	Graph	f(x)=- cube root of 2x	$f (x) = - \sqrt[3]{2 x}$
225063	Simplify	-5/(4+ square root of 6)	$\frac{- 5}{4 + \sqrt{6}}$
225064	Evaluate	y^-8y^3x^0x^-2	$y^{- 8} y^{3} x^{0} x^{- 2}$
225065	Solve for p	-6(-3p-6)-20p=-2p+2	$- 6 (- 3 p - 6) - 20 p = - 2 p + 2$
225066	Solve the Inequality for a	a-6>=1	$a - 6 \geq 1$
225067	Graph	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
225068	Solve for x	xe^x-1=0	$x e^{x} - 1 = 0$
225069	Factor	5x^2y^3-180y	$5 x^{2} y^{3} - 180 y$
225070	Solve by Factoring	2x^5+24x=14x^3	$2 x^{5} + 24 x = 14 x^{3}$
225071	Solve for x	3x+15>=0	$3 x + 15 \geq 0$
225072	Write in Exponential Form	( fourth root of x^3)	$(\sqrt[4]{x^{3}})$
225073	Solve for x	y=5+x	$y = 5 + x$
225074	Simplify	((2x^2)(6x))/((3x)(4x^2))	$\frac{(2 x^{2}) (6 x)}{(3 x) (4 x^{2})}$
225075	Find the Exact Value	(-30(-7))-(210(-3))	$(- 30 (- 7)) - (210 (- 3))$
225076	Solve for x	12-3x+4x=9+10x+8	$12 - 3 x + 4 x = 9 + 10 x + 8$
225077	Evaluate	(2x+2)/(3x-3)>0	$\frac{2 x + 2}{3 x - 3} > 0$
225078	Evaluate	1/2+3*2^2-1	$\frac{1}{2} + 3 \cdot 2^{2} - 1$
225079	Simplify	(4x^2-20x+25)/(x^2-4x)*(3x-12)/(2x-5)	$\frac{4 x^{2} - 20 x + 25}{x^{2} - 4 x} \cdot \frac{3 x - 12}{2 x - 5}$
225080	Solve for x	-17+4x<=-49	$- 17 + 4 x \leq - 49$
225081	Solve for x	165=5x^3	$165 = 5 x^{3}$
225082	Solve for x	x-4=5/x	$x - 4 = \frac{5}{x}$
225083	Write in Standard Form	(-1- square root of -6)^2	${(- 1 - \sqrt{- 6})}^{2}$
225084	Simplify	square root of 3* square root of -4	$\sqrt{3} \cdot \sqrt{- 4}$
225085	Simplify the Radical Expression	square root of 121+ square root of -28- square root of 49- square root of -112	$\sqrt{121} + \sqrt{- 28} - \sqrt{49} - \sqrt{- 112}$
225086	Solve the System of Inequalities	x<2 y-x<=2	$x < 2$ $y - x \leq 2$
225087	Factor	Factor: x^2+2x-3	Factor: $x^{2} + 2 x - 3$
225088	Find the Inverse	g(x) = log base 3 of 3-2x	$g (x) = \log_{3} (3 - 2 x)$
225089	Simplify the Radical Expression	( fifth root of h^11)/( sixth root of h^5)	$\frac{\sqrt[5]{h^{11}}}{\sqrt[6]{h^{5}}}$
225090	Multiply	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
225091	Simplify	((2x^-2y^7)/(6xy^-1))^-2	${(\frac{2 x^{- 2} y^{7}}{6 x y^{- 1}})}^{- 2}$
225092	Factor	42ab-25b-35a+30b^2	$42 a b - 25 b - 35 a + 30 b^{2}$
225093	Simplify	(x-(-2))	$(x - (- 2))$
225094	Simplify	2(-3)^3+6	$2 {(- 3)}^{3} + 6$
225095	Simplify	4x^3y^6+(xy^2)^3	$4 x^{3} y^{6} + {(x y^{2})}^{3}$
225096	Simplify	(i-2)^3	${(i - 2)}^{3}$
225097	Simplify the Radical Expression	sixth root of 27e^3	$\sqrt[6]{27 e^{3}}$
225098	Solve for r	16-2r=3r+6r+1	$16 - 2 r = 3 r + 6 r + 1$
225099	Solve for θ	cos(theta)^2-sin(theta)^2=1	$\cos^{2} (θ) - \sin^{2} (θ) = 1$
225100	Divide Using Long Polynomial Division	((2x+3)/(8x^3+6x^2+x+15))	$(\frac{2 x + 3}{8 x^{3} + 6 x^{2} + x + 15})$