Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182601	Simplify	(5x)/(3x^2)-7/(6x)	$\frac{5 x}{3 x^{2}} - \frac{7}{6 x}$
182602	Graph	y<=x^2-4x+2	$y \leq x^{2} - 4 x + 2$
182603	Simplify	2 cube root of x^4	$2 \sqrt[3]{x^{4}}$
182604	Solve for x	3-1/6x=3/2	$3 - \frac{1}{6} x = \frac{3}{2}$
182605	Find the Product	(4x+5y)^2	${(4 x + 5 y)}^{2}$
182606	Divide	x+1 into x^2+2x+3	$x + 1$ into $x^{2} + 2 x + 3$
182607	Divide	(12i)/(3-3i)	$\frac{12 i}{3 - 3 i}$
182608	Graph	F(x)=(x^3)/(x^2-4)	$F (x) = \frac{x^{3}}{x^{2} - 4}$
182609	Solve for θ	4sin(theta)^2=3	$4 \sin^{2} (θ) = 3$
182610	Graph	g(x)=2(x+3)(x^2-1)	$g (x) = 2 (x + 3) (x^{2} - 1)$
182611	Graph	y=1/2sec(x)	$y = \frac{1}{2} \sec (x)$
182612	Find the x and y Intercepts	f(x)=2(1/2)^x	$f (x) = 2 {(\frac{1}{2})}^{x}$
182613	Evaluate	4^(x+3)=64	$4^{x + 3} = 64$
182614	Simplify	m^3y^6m^2	$m^{3} \cdot y^{6} \cdot m^{2}$
182615	Convert to Interval Notation	4y+2(2y-4)<=2(2y+4)	$4 y + 2 (2 y - 4) \leq 2 (2 y + 4)$
182616	Write in Standard Form	10m=7m^2	$10 m = 7 m^{2}$
182617	Solve for x	324=4(3)^(2x)	$324 = 4 {(3)}^{2 x}$
182618	Solve for b	A=bh for b	$A = b h$ for $b$
182619	Solve for b	A=1/2(b+c)	$A = \frac{1}{2} (b + c)$
182620	Factor	a^2+ab+ac+bc	$a^{2} + a b + a c + b c$
182621	Solve for x	2(5x-1)^2+28=30	$2 {(5 x - 1)}^{2} + 28 = 30$
182622	Simplify	(x^2-4)/(x(x+2)^2)*(x^2-6x-16)/(x-8)	$\frac{x^{2} - 4}{x {(x + 2)}^{2}} \cdot \frac{x^{2} - 6 x - 16}{x - 8}$
182623	Simplify	(x^3-x^2-5x-3)÷(x^2+2x+1)	$(x^{3} - x^{2} - 5 x - 3) \div (x^{2} + 2 x + 1)$
182624	Simplify	(15x^(4/3))/(3x)	$\frac{15 x^{\frac{4}{3}}}{3 x}$
182625	Find the Inverse	f(x)=2x^(2/5)	$f (x) = 2 x^{\frac{2}{5}}$
182626	Solve for m	3/4+m=5/4	$\frac{3}{4} + m = \frac{5}{4}$
182627	Graph	x^2+y^2=z^2	$x^{2} + y^{2} = z^{2}$
182628	Simplify	(-10^2-3^2+5^3)^3	${(- 10^{2} - 3^{2} + 5^{3})}^{3}$
182629	Simplify	(((2xy)/(w^2))^3)÷((24x^2)/(w^5))	${(\frac{2 x y}{w^{2}})}^{3} \div \frac{24 x^{2}}{w^{5}}$
182630	Simplify	(f(4.5+h)-f(4.5))/h	$\frac{f (4.5 + h) - f (4.5)}{h}$
182631	Find the Roots (Zeros)	2x^2-x+6=-4x+8	$2 x^{2} - x + 6 = - 4 x + 8$
182632	Find the Roots (Zeros)	f(x)=(x^2-2x-8)/(x^2-4x)	$f (x) = \frac{x^{2} - 2 x - 8}{x^{2} - 4 x}$
182633	Factor	xy+y	$x y + y$
182634	Find the Midpoint	(5,3) and (1,9)	$(5, 3)$ and $(1, 9)$
182635	Solve the System of Equations	2x-y=7 y=2x+3	$2 x - y = 7$ $y = 2 x + 3$
182636	Solve the Inequality for x	2(2x-3)>14	$2 (2 x - 3) > 14$
182637	Divide	((x-2)/2)÷((x^2-4)/3)	$\frac{x - 2}{2} \div \frac{x^{2} - 4}{3}$
182638	Simplify	(-4x^4+6x^2+3)-(5x^2-3)	$(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)$
182639	Evaluate	natural log of x=7	$\ln (x) = 7$
182640	Simplify	2 cube root of 27x^3y^6	$2 \sqrt[3]{27 x^{3} y^{6}}$
182641	Solve for x	9x-15+53=12x-1	$9 x - 15 + 53 = 12 x - 1$
182642	Simplify	(4x^5+y^3)^2	${(4 x^{5} + y^{3})}^{2}$
182643	Convert to a Decimal	480deg	$480$ degrees
182644	Solve for x	3x-18=4(-3-3/4x)	$3 x - 18 = 4 (- 3 - \frac{3}{4} x)$
182645	Graph	y>=3x^2-3x-6	$y \geq 3 x^{2} - 3 x - 6$
182646	Solve the Inequality for x	1/x+1/(x+1)<2/(x+2)	$\frac{1}{x} + \frac{1}{x + 1} < \frac{2}{x + 2}$
182647	Simplify	(6x^2-216)/(x^3+3x^2-18x)*(x-3)/(x^2+3x-54)	$\frac{6 x^{2} - 216}{x^{3} + 3 x^{2} - 18 x} \cdot \frac{x - 3}{x^{2} + 3 x - 54}$
182648	Evaluate	3g+6(-g+(-5))	$3 g + 6 (- g + (- 5))$
182649	Solve for b	a=1/2bh solve for b	$a = \frac{1}{2} b h$ solve for $b$
182650	Graph	a union (b intersect c)	$a \cup (b \cap c)$
182651	Solve the Inequality for x	2(x-3)>=-3(-3+x)	$2 (x - 3) \geq - 3 (- 3 + x)$
182652	Solve the Inequality for x	-3<-2x+1<=9	$- 3 < - 2 x + 1 \leq 9$
182653	Simplify	(((p^2-4)(p+3))/(p^3-27))÷(((p+2)(p^2+p-6))/(2p^2+6p+18))	$\frac{(p^{2} - 4) (p + 3)}{p^{3} - 27} \div \frac{(p + 2) (p^{2} + p - 6)}{2 p^{2} + 6 p + 18}$
182654	Graph	y=(2x)^3-4	$y = {(2 x)}^{3} - 4$
182655	Graph	p(x)=x(x-3)^2(2x+7)^2	$p (x) = x {(x - 3)}^{2} {(2 x + 7)}^{2}$
182656	Simplify	(25xy^2z)/(5xy)	$\frac{25 x y^{2} z}{5 x y}$
182657	Solve for x	-x+10=-2(x-1)	$- x + 10 = - 2 (x - 1)$
182658	Solve for x	(x-2)/(x+2)+1/(x-2)=(x-4)/(x-2)	$\frac{x - 2}{x + 2} + \frac{1}{x - 2} = \frac{x - 4}{x - 2}$
182659	Simplify	( square root of 28)/2	$\frac{\sqrt{28}}{2}$
182660	Factor	4m^4+3m^2n^2+9n^4	$4 m^{4} + 3 m^{2} n^{2} + 9 n^{4}$
182661	Graph	thx	$t h x$
182662	Find All Complex Solutions	tan(theta)=- square root of 2sin(theta)	$\tan (θ) = - \sqrt{2} \sin (θ)$
182663	Solve the Inequality for x	(x-5)(x-9)>0	$(x - 5) (x - 9) > 0$
182664	Evaluate	(1 1/2)^2	${(1 \frac{1}{2})}^{2}$
182665	Solve the Inequality for x	(2x)/5-x<=1	$\frac{2 x}{5} - x \leq 1$
182666	Solve for x	x=3(x-a)	$x = 3 (x - a)$
182667	Solve by Addition/Elimination	-9+5y=-4x -11x=-20+9y	$- 9 + 5 y = - 4 x$ $- 11 x = - 20 + 9 y$
182668	Solve for h	A=1/2(a+b)h for h	$A = \frac{1}{2} (a + b) h$ for $h$
182669	Solve the Rational Equation for x	square root of 3x+1=5	$\sqrt{3 x + 1} = 5$
182670	Find the Inverse	f(x) = fifth root of (x^3)/9	$f (x) = \sqrt[5]{\frac{x^{3}}{9}}$
182671	Graph	-x^2+x	$- x^{2} + x$
182672	Solve for z	3\|z+7\|=12	$3 \| z + 7 \| = 12$
182673	Find the Product	(p-10q)(p+10q)	$(p - 10 q) (p + 10 q)$
182674	Solve the System of Inequalities	-x-1>-10 or -x-1>=-13	$- x - 1 > - 10$ or $- x - 1 \geq - 13$
182675	Evaluate	(6!)/((6-1)!1!)	$\frac{6!}{(6 - 1)! 1!}$
182676	Solve Using the Quadratic Formula	(5x-2)/2-(19x+6)/(2x)=(3x-2)/4	$\frac{5 x - 2}{2} - \frac{19 x + 6}{2 x} = \frac{3 x - 2}{4}$
182677	Find f(g(x))	f(x)=1/(2x) g(x)=1/(2x)	$f (x) = \frac{1}{2 x}$ $g (x) = \frac{1}{2 x}$
182678	Subtract	Subtract 2x^2-1 from 4x^2+2	Subtract $2 x^{2} - 1$ from $4 x^{2} + 2$
182679	Graph	y>=2 and y<x	$y \geq 2$ and $y < x$
182680	Simplify	(3+2i)/(4i)	$\frac{3 + 2 i}{4 i}$
182681	Write as a Single Logarithm	log base 3 of 4x^2y+ log base 3 of 5x^3y^2	$\log_{3} (4 x^{2} y) + \log_{3} (5 x^{3} y^{2})$
182682	Find g(f(x))	f(x)=6x-4 g(x)=3x^2-2x-10	$f (x) = 6 x - 4$ $g (x) = 3 x^{2} - 2 x - 10$
182683	Solve for x	(3x+8)^2-12=37	${(3 x + 8)}^{2} - 12 = 37$
182684	Multiply	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
182685	Simplify	1/(cos(x)+1)+1/(cos(x)-1)	$\frac{1}{\cos (x) + 1} + \frac{1}{\cos (x) - 1}$
182686	Graph	(3x-2)^2=84y-112	${(3 x - 2)}^{2} = 84 y - 112$
182687	Solve for k	x^2-6x+k=0	$x^{2} - 6 x + k = 0$
182688	Find the Midpoint	(2,9) and (8,1)	$(2, 9)$ and $(8, 1)$
182689	Find the Domain and Range	y=1/(sin(x))	$y = \frac{1}{\sin (x)}$
182690	Find the Exact Value	333*3	$3 \cdot 3 \cdot 3 \cdot 3$
182691	Solve the Inequality for r	r+0.2<-0.7	$r + 0.2 < - 0.7$
182692	Solve for x	(2x^2+1)/(x-1)+x=3+3/(x-1)	$\frac{2 x^{2} + 1}{x - 1} + x = 3 + \frac{3}{x - 1}$
182693	Solve for x	3(4x+2)=20x-9x+2	$3 (4 x + 2) = 20 x - 9 x + 2$
182694	Evaluate	log base 1/4 of 8	$\log_{\frac{1}{4}} (8)$
182695	Solve the Inequality for x	2x^2-x-3<0	$2 x^{2} - x - 3 < 0$
182696	Evaluate	cube root of x^9	$\sqrt[3]{x^{9}}$
182697	Solve for a	9a^2+25a+16=a	$9 a^{2} + 25 a + 16 = a$
182698	Graph	f(x)=x-3 if x<=1; -5 if x>4	$f (x) = {\begin{cases} x - 3 & x \leq 1 \\ - 5 & x > 4 \end{cases}$
182699	Solve the Rational Equation for x	2/x-(x+1)/5=-4/5	$\frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5}$
182700	Simplify	2/(- square root of 2)	$\frac{2}{- \sqrt{2}}$