Mathway | Popular Problems

Popular Problems

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