Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185001	Find the Exact Value	(3^3)÷(3^-4)	$3^{3} \div 3^{- 4}$
185002	Graph	y>-2 square root of 3x+2	$y > - 2 \sqrt{3 x + 2}$
185003	Solve for x	log base 2x-5 of 3x^2-7x-15=2	$\log_{2 x - 5} (3 x^{2} - 7 x - 15) = 2$
185004	Graph Using a Table of Values	y=2(4)^x	$y = 2 {(4)}^{x}$
185005	Simplify	1/3n(-6+27m-51p)	$\frac{1}{3} n (- 6 + 27 m - 51 p)$
185006	Simplify	(x^2+9)-(x-9)	$(x^{2} + 9) - (x - 9)$
185007	Simplify	(x^2+3x-10)/(6(x+5)^2)*(x^4+3x^3-10x^2)/(x(x-2)^2)	$\frac{x^{2} + 3 x - 10}{6 {(x + 5)}^{2}} \cdot \frac{x^{4} + 3 x^{3} - 10 x^{2}}{x {(x - 2)}^{2}}$
185008	Solve for z	18-5z+6z>3+6	$18 - 5 z + 6 z > 3 + 6$
185009	Solve the Inequality for x	(x+5)(x^2-3x-4)>0	$(x + 5) (x^{2} - 3 x - 4) > 0$
185010	Graph	y=x^2+4,x<=2; -x+4,x<2	$y = {\begin{cases} x^{2} + 4, x \leq 2 \\ - x + 4, x < 2 \end{cases}$
185011	Solve for r	3^(-3r)=3^5	$3^{- 3 r} = 3^{5}$
185012	Solve the Absolute Value Inequality for x	\|2x-1\|>3	$\| 2 x - 1 \| > 3$
185013	Simplify the Radical Expression	square root of 6 square root of 12	$\sqrt{6} \sqrt{12}$
185014	Graph	y=2x+-3	$y = 2 x + - 3$
185015	Simplify	(5/(x-2))÷(x/(x+1))	$\frac{5}{x - 2} \div \frac{x}{x + 1}$
185016	Solve for x	x/2-5x+2=-1	$\frac{x}{2} - 5 x + 2 = - 1$
185017	Evaluate	2pi(4)^2	$2 π {(4)}^{2}$
185018	Simplify	(10-2i)/i	$\frac{10 - 2 i}{i}$
185019	Simplify	(2x)/(x+2)+x/(x-3)	$\frac{2 x}{x + 2} + \frac{x}{x - 3}$
185020	Simplify	x/-1	$\frac{x}{- 1}$
185021	Simplify	(x^2)/9*3/x	$\frac{x^{2}}{9} \cdot \frac{3}{x}$
185022	Solve for g	g/-5+3=-13	$\frac{g}{- 5} + 3 = - 13$
185023	Simplify	(-20y+30)/(-2y+6)	$\frac{- 20 y + 30}{- 2 y + 6}$
185024	Solve for x	2x(x-6)(3x-2)=0	$2 x (x - 6) (3 x - 2) = 0$
185025	Solve the Absolute Value Inequality for x	\|x-4\|-3<5	$\| x - 4 \| - 3 < 5$
185026	Simplify	(x-1/2)^3	${(x - \frac{1}{2})}^{3}$
185027	Solve for x	3x+5-x=x-3	$3 x + 5 - x = x - 3$
185028	Graph	y=1/4(-x)^3-4	$y = \frac{1}{4} {(- x)}^{3} - 4$
185029	Find the Roots (Zeros)	20x^2+1=x	$20 x^{2} + 1 = x$
185030	Evaluate	log base 1/3 of 1/27	$\log_{\frac{1}{3}} (\frac{1}{27})$
185031	Simplify/Condense	(tan(theta)^2csc(theta)^2-1)/(sec(theta)^2)	$\frac{\tan^{2} (θ) \csc^{2} (θ) - 1}{\sec^{2} (θ)}$
185032	Multiply	5 square root of 2*5 square root of 2	$5 \sqrt{2} \cdot 5 \sqrt{2}$
185033	Solve the Inequality for x	8(x-3)>4(2x-6)	$8 (x - 3) > 4 (2 x - 6)$
185034	Write in Standard Form	x^3-7x+7x^5-19+x^2	$x^{3} - 7 x + 7 x^{5} - 19 + x^{2}$
185035	Solve for x	25(x^2+1)-12=14	$25 (x^{2} + 1) - 12 = 14$
185036	Factor	196-n^6p^4q^2	$196 - n^{6} p^{4} q^{2}$
185037	Find the Inverse	f(x)=4+2/(e^(x-7))	$f (x) = 4 + \frac{2}{e^{x - 7}}$
185038	Divide	14 2/3÷2 2/9	$14 \frac{2}{3} \div 2 \frac{2}{9}$
185039	Find the LCD	(6a)/(a^2-5a-6) and (8a)/(a^2-36)	$\frac{6 a}{a^{2} - 5 a - 6}$ and $\frac{8 a}{a^{2} - 36}$
185040	Simplify	(x^2-a^2)/(x-a)	$\frac{x^{2} - a^{2}}{x - a}$
185041	Factor	x^3+30x-x^5	$x^{3} + 30 x - x^{5}$
185042	Solve for x	2 log of x-2 log of x+1=0	$2 \log (x) - 2 \log (x + 1) = 0$
185043	Factor	x^5+x^3y^2+xy^4+x^4+x^2y^2+y^4	$x^{5} + x^{3} y^{2} + x y^{4} + x^{4} + x^{2} y^{2} + y^{4}$
185044	Find the Holes in the Graph	(2x+4)/(-x^2+4)	$\frac{2 x + 4}{- x^{2} + 4}$
185045	Solve for x	3x+6=(9x-3)/9	$3 x + 6 = \frac{9 x - 3}{9}$
185046	Graph	f(x)=g(x) ?	$f (x) = g (x)$ ?
185047	Solve the Inequality for x	4(5x+2)<=28	$4 (5 x + 2) \leq 28$
185048	Complete the Square	24=x^2-4x+3	$24 = x^{2} - 4 x + 3$
185049	Evaluate	2pi12	$2 \cdot π \cdot 12$
185050	Graph	g(x)=-1/3f(x-2)+4	$g (x) = - \frac{1}{3} f (x - 2) + 4$
185051	Find the Roots (Zeros)	F(x)=(4x-17) natural log of (2x-9)(x-4)	$F (x) = (4 x - 17) \ln ((2 x - 9) (x - 4))$
185052	Find the x and y Intercepts	y=(3x^2-12)/(8x^2-18x+4)	$y = \frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
185053	Factor	15x^(-1/2)+8x^(1/2)+x^(3/2)	$15 x^{- \frac{1}{2}} + 8 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
185054	Simplify	(x+1)/(x^2-4)+(2x-3)/(x^2+x-2)	$\frac{x + 1}{x^{2} - 4} + \frac{2 x - 3}{x^{2} + x - 2}$
185055	Find All Complex Solutions	-2cos(x)^2=-cos(x)-1	$- 2 \cos^{2} (x) = - \cos (x) - 1$
185056	Solve the System of Equations	x-3y=-3 x+3y=9	$x - 3 y = - 3$ $x + 3 y = 9$
185057	Graph	y>=-1/2x y<1/2x+1	$y \geq - \frac{1}{2} x$ $y < \frac{1}{2} x + 1$
185058	Find the Exact Value	i^(20+1)	$i^{20 + 1}$
185059	Multiply	(2x-6)*(x+5y-8)	$(2 x - 6) \cdot (x + 5 y - 8)$
185060	Find the Roots (Zeros)	2x^2=100	$2 x^{2} = 100$
185061	Subtract	Subtract 2x^2+6x-5 from 7x^2+3x+4	Subtract $2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
185062	Solve for t	A=A_0e^(-0.000121t)	$A = A_{0} e^{- 0.000121 t}$
185063	Simplify	(a^3-b^3)/((a-b)^2)+(3ab)/(b-a)	$\frac{a^{3} - b^{3}}{{(a - b)}^{2}} + \frac{3 a b}{b - a}$
185064	Solve for x	7/(-2x)=x/-14	$\frac{7}{- 2 x} = \frac{x}{- 14}$
185065	Find the Domain and Range	q(x)=-3/2\|x\|	$q (x) = - \frac{3}{2} \| x \|$
185066	Solve for f	a=f/m	$a = \frac{f}{m}$
185067	Simplify	(x/2-(x^2)/4)/(x/4-1/x)	$\frac{\frac{x}{2} - \frac{x^{2}}{4}}{\frac{x}{4} - \frac{1}{x}}$
185068	Find the Domain of the Composition f(g(x))	f(x) = square root of x+1 , g(x)=x^2-1	$f (x) = \sqrt{x + 1}$ , $g (x) = x^{2} - 1$
185069	Simplify	(a^(2/3)b^(1/3))^(1/2)	${(a^{\frac{2}{3}} b^{\frac{1}{3}})}^{\frac{1}{2}}$
185070	Find the Product	(3x-y)^3	${(3 x - y)}^{3}$
185071	Find the Function	f(x)=1/2	$f (x) = \frac{1}{2}$
185072	Graph Using a Table of Values	f(x) = square root of x+3	$f (x) = \sqrt{x} + 3$
185073	Factor	a^2+bc+ab+ac	$a^{2} + b c + a b + a c$
185074	Solve the Inequality for x	3x+4y<x-y+2	$3 x + 4 y < x - y + 2$
185075	Evaluate	25- cube root of 125	$25 - \sqrt[3]{125}$
185076	Simplify	(8xy^3)^(2/3)	${(8 x y^{3})}^{\frac{2}{3}}$
185077	Simplify	3/4+((1/3)÷(1/6))-(-1/2)	$\frac{3}{4} + (\frac{1}{3} \div \frac{1}{6}) - (- \frac{1}{2})$
185078	Solve the Inequality for x	(5x-1)/3>3	$\frac{5 x - 1}{3} > 3$
185079	Solve for x	2=6(2)^(0.99x)-9	$2 = 6 {(2)}^{0.99 x} - 9$
185080	Find the Domain and Range	y=x^2+x	$y = x^{2} + x$
185081	Graph Using a Table of Values	f(x)=4(1/2)^x	$f (x) = 4 {(\frac{1}{2})}^{x}$
185082	Write as a Single Logarithm	log base b of 5- log base b of 5	$\log_{b} (5) - \log_{b} (5)$
185083	Find the Degree	5a^6bc^2+8d^5+7e^6f^2-10g^4h^7	$5 a^{6} b c^{2} + 8 d^{5} + 7 e^{6} f^{2} - 10 g^{4} h^{7}$
185084	Find the Inverse	y = square root of 1-x^2	$y = \sqrt{1 - x^{2}}$
185085	Simplify	5+ square root of -64	$5 + \sqrt{- 64}$
185086	Solve for θ	tan(theta)=undefined	$\tan (θ) = u n d e f i n e d$
185087	Multiply	( square root of 12+ square root of 6)( square root of 6- square root of 10)	$(\sqrt{12} + \sqrt{6}) (\sqrt{6} - \sqrt{10})$
185088	Graph	f(x)=2x^2-x if x<1; 1 if x>=1	$f (x) = {\begin{cases} 2 x^{2} - x & x < 1 \\ 1 & x \geq 1 \end{cases}$
185089	Find the Holes in the Graph	f(x)=(2x^2-2)/(x^2-4x+3)	$f (x) = \frac{2 x^{2} - 2}{x^{2} - 4 x + 3}$
185090	Solve the Inequality for x	(3-x)(x+1)(x+5)>0	$(3 - x) (x + 1) (x + 5) > 0$
185091	Simplify	7x square root of 98x^2-x^2 square root of 162	$7 x \sqrt{98 x^{2}} - x^{2} \sqrt{162}$
185092	Find the x and y Intercepts	f(x)=(x^2-5)(x+6)	$f (x) = (x^{2} - 5) (x + 6)$
185093	Find f(h(x))	f(x)=13-x h(x)=x^2-6x-18	$f (x) = 13 - x$ $h (x) = x^{2} - 6 x - 18$
185094	Simplify	((x+4)/3+1/x)/(1+1/x)	$\frac{\frac{x + 4}{3} + \frac{1}{x}}{1 + \frac{1}{x}}$
185095	Evaluate	log of x+ log of x+15=2	$\log (x) + \log (x + 15) = 2$
185096	Simplify	(12x^5-3x^4+2x-5)+(8x^4-3x^3+4x+1)	$(12 x^{5} - 3 x^{4} + 2 x - 5) + (8 x^{4} - 3 x^{3} + 4 x + 1)$
185097	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x+x^3	$f (x) = 4 x + x^{3}$
185098	Solve for b	x=-b/(2a)	$x = - \frac{b}{2 a}$
185099	Simplify	(mn^2)/(m^-2)	$\frac{m n^{2}}{m^{- 2}}$
185100	Write in Standard Form	(6-y-4y^2)(-5+7y^2)	$(6 - y - 4 y^{2}) (- 5 + 7 y^{2})$