Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181601	Simplify	(1/(x^3))÷(2/x)	$\frac{1}{x^{3}} \div \frac{2}{x}$
181602	Graph	3x+y>=-3 x+2y<=4	$3 x + y \geq - 3$ $x + 2 y \leq 4$
181603	Find g(f(x))	f(x)=3x+1 , g(x) = square root of x	$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$
181604	Simplify	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
181605	Simplify	(8w^3y^11)/((4w^3y^5)^2)	$\frac{8 w^{3} y^{11}}{{(4 w^{3} y^{5})}^{2}}$
181606	Simplify	((3x^5y^3)/(x^3y^6))^4	${(\frac{3 x^{5} y^{3}}{x^{3} y^{6}})}^{4}$
181607	Graph	f^-1(-4)	$f^{- 1} (- 4)$
181608	Simplify	(2x)/(x+3)-4/x	$\frac{2 x}{x + 3} - \frac{4}{x}$
181609	Solve for x	(x-3/7)=2/3(3/2x-9/14)	$(x - \frac{3}{7}) = \frac{2}{3} (\frac{3}{2} x - \frac{9}{14})$
181610	Graph	p(x)=x(x-3)(2x+7)^2	$p (x) = x (x - 3) {(2 x + 7)}^{2}$
181611	Solve for x	(x+8)/(x+6)=-3/x	$\frac{x + 8}{x + 6} = \frac{- 3}{x}$
181612	Solve the Inequality for x	14<-7x	$14 < - 7 x$
181613	Solve for x	8x+2+70+60=180	$8 x + 2 + 70 + 60 = 180$
181614	Simplify	(z^2-4z-45)/(12z+120)*(11z+110)/(-z^2-2z+99)	$\frac{z^{2} - 4 z - 45}{12 z + 120} \cdot \frac{11 z + 110}{- z^{2} - 2 z + 99}$
181615	Solve the Inequality for x	(x+1)/(x-2)<=0	$\frac{x + 1}{x - 2} \leq 0$
181616	Graph	f(x)=-x^2(x-2)(x+5)	$f (x) = - x^{2} (x - 2) (x + 5)$
181617	Solve the Inequality for x	8(x-5)-3x>=-20	$8 (x - 5) - 3 x \geq - 20$
181618	Evaluate	5(3)^2-7(4(3)+3)	$5 {(3)}^{2} - 7 (4 (3) + 3)$
181619	Simplify	(5x^3+20x^2-160x)/(x-6)*(x^2-36)/(15x^4+210x^3+720x^2)	$\frac{5 x^{3} + 20 x^{2} - 160 x}{x - 6} \cdot \frac{x^{2} - 36}{15 x^{4} + 210 x^{3} + 720 x^{2}}$
181620	Graph	y=2f(x)-1	$y = 2 f (x) - 1$
181621	Solve for x	27=46+2x-x	$27 = 46 + 2 x - x$
181622	Find All Complex Solutions	cos(2x)-2cos(x)=-1	$\cos (2 x) - 2 \cos (x) = - 1$
181623	Graph	P(x)=-3(x-5)^2+12	$P (x) = - 3 {(x - 5)}^{2} + 12$
181624	Describe the Transformation	g(x)=f(x)+6	$g (x) = f (x) + 6$
181625	Write in Slope-Intercept Form	(5,-1) , (-5,5)	$(5, - 1)$ , $(- 5, 5)$
181626	Write in Standard Form	square root of -5	$\sqrt{- 5}$
181627	Write in Standard Form	f(x)=(x+1)^2-2	$f (x) = {(x + 1)}^{2} - 2$
181628	Simplify	- square root of 6x^2+8x square root of 96	$- \sqrt{6 x^{2}} + 8 x \sqrt{96}$
181629	Simplify	(x/6)/6	$\frac{\frac{x}{6}}{6}$
181630	Multiply	(5a^2+7b)(7a-5b)	$(5 a^{2} + 7 b) (7 a - 5 b)$
181631	Graph	r^2=sin(2theta)	$r^{2} = \sin (2 θ)$
181632	Simplify	(2^-2*5^-5)^-4	${(2^{- 2} \cdot 5^{- 5})}^{- 4}$
181633	Solve for z	9z+10=1-3(5-3z)	$9 z + 10 = 1 - 3 (5 - 3 z)$
181634	Graph	y<5/4x-5 y<-1/2x+2	$y < \frac{5}{4} x - 5$ $y < - \frac{1}{2} x + 2$
181635	Find the Sum and Product of the Roots of the Quadratic Equation	-3x^2+1=0	$- 3 x^{2} + 1 = 0$
181636	Simplify the Radical Expression	fourth root of 16(x-3)^12	$\sqrt[4]{16 {(x - 3)}^{12}}$
181637	Simplify	((2a^2b)^2(3ab^3c))/(4a^4b^8c^2)	$\frac{{(2 a^{2} b)}^{2} (3 a b^{3} c)}{4 a^{4} b^{8} c^{2}}$
181638	Solve for n	1/2n+3/4n=1/2	$\frac{1}{2} n + \frac{3}{4} n = \frac{1}{2}$
181639	Graph	y=(x-1)(x-2)(x-3)	$y = (x - 1) (x - 2) (x - 3)$
181640	Evaluate	3*(-1^2)	$3 \cdot (- 1^{2})$
181641	Graph	p(x)=x(2x+5)(x+4)	$p (x) = x (2 x + 5) (x + 4)$
181642	Graph	y>x-4 y>=-1/2x+5	$y > x - 4$ $y \geq - \frac{1}{2} x + 5$
181643	Find w(u(x))	u(x)=x^2+9 w(x) = square root of x+8	$u (x) = x^{2} + 9$ $w (x) = \sqrt{x + 8}$
181644	Solve for x	6(3x-1)-2x=2(2x-5)-8	$6 (3 x - 1) - 2 x = 2 (2 x - 5) - 8$
181645	Evaluate the Function	f(1) = square root of 1	$f (1) = \sqrt{1}$
181646	Solve for x	log base 2 of 2x+ log base 2 of x-7 = log base 2 of 4x	$\log_{2} (2 x) + \log_{2} (x - 7) = \log_{2} (4 x)$
181647	Solve for x	(7x)/(x-1)-6/(x^2-x)=1/(x-1)	$\frac{7 x}{x - 1} - \frac{6}{x^{2} - x} = \frac{1}{x - 1}$
181648	Simplify	(x^3+7x^2)/(5x^2+55x+140)*(x^2-16)/((x-4)^2)	$\frac{x^{3} + 7 x^{2}}{5 x^{2} + 55 x + 140} \cdot \frac{x^{2} - 16}{{(x - 4)}^{2}}$
181649	Find f(g(x))	f(x)=2x g(x)=x/2	$f (x) = 2 x$ $g (x) = \frac{x}{2}$
181650	Write in Standard Form	-16+2x^2+7x=1	$- 16 + 2 x^{2} + 7 x = 1$
181651	Find the Holes in the Graph	((x-5)(x-2))/((x-2)(x+4))	$\frac{(x - 5) (x - 2)}{(x - 2) (x + 4)}$
181652	Solve Using the Quadratic Formula	5x^2-3x+10=2x^2+21	$5 x^{2} - 3 x + 10 = 2 x^{2} + 21$
181653	Write in Standard Form	(3x+1)(2x^2+x-7)	$(3 x + 1) (2 x^{2} + x - 7)$
181654	Find the Midpoint	(8,1) and (5,7)	$(8, 1)$ and $(5, 7)$
181655	Solve the System of Equations	y=x-1 y=1/2x+1	$y = x - 1$ $y = \frac{1}{2} x + 1$
181656	Find the Midpoint	(1,1) and (7,7)	$(1, 1)$ and $(7, 7)$
181657	Solve the Inequality for x	6x-13<6(x-2)	$6 x - 13 < 6 (x - 2)$
181658	Solve for c	a=1/9(b+c-d)	$a = \frac{1}{9} (b + c - d)$
181659	Simplify	(3x^3-3x^2+7x-7)/(27x^4-147)	$\frac{3 x^{3} - 3 x^{2} + 7 x - 7}{27 x^{4} - 147}$
181660	Solve the Inequality for h	6-2h>30	$6 - 2 h > 30$
181661	Graph	F(x)=(2x)/(x(x-2))	$F (x) = \frac{2 x}{x (x - 2)}$
181662	Solve the Inequality for x	x^2-8x+16>0	$x^{2} - 8 x + 16 > 0$
181663	Find the Product	(a^2+b^2)^2	${(a^{2} + b^{2})}^{2}$
181664	Solve for x	x/-9=9/(-x)	$\frac{x}{- 9} = \frac{9}{- x}$
181665	Simplify	((4x+1)/(6x))÷(x/(3x-1))	$\frac{4 x + 1}{6 x} \div \frac{x}{3 x - 1}$
181666	Write as a Single Logarithm	log base 4 of 64	$\log_{4} (64)$
181667	Factor	ax^2+bx	$a x^{2} + b x$
181668	Simplify	(x^4+2x^3)/(4x^4+4x^3-8x^2)*(2x^2-2)/(x+1)	$\frac{x^{4} + 2 x^{3}}{4 x^{4} + 4 x^{3} - 8 x^{2}} \cdot \frac{2 x^{2} - 2}{x + 1}$
181669	Simplify	3x square root of -75a	$3 x \sqrt{- 75 a}$
181670	Factor	(a+b)^3-8b^3	${(a + b)}^{3} - 8 b^{3}$
181671	Graph	36+y^2=x^2	$36 + y^{2} = x^{2}$
181672	Solve the System of Inequalities	y<=2x+2 y>=-5x+4	$y \leq 2 x + 2$ $y \geq - 5 x + 4$
181673	Simplify	((2x^7)/(y^4))^-6	${(\frac{2 x^{7}}{y^{4}})}^{- 6}$
181674	Find the End Behavior	f(x)=4x^3+5x^2	$f (x) = 4 x^{3} + 5 x^{2}$
181675	Solve for x	8x+x/(x+1)=-1/(x+1)	$8 x + \frac{x}{x + 1} = - \frac{1}{x + 1}$
181676	Simplify	-9x^2 square root of 27x^3-6 square root of 3x^7	$- 9 x^{2} \sqrt{27 x^{3}} - 6 \sqrt{3 x^{7}}$
181677	Solve the Inequality for x	-2pi<=x<=2pi	$- 2 π \leq x \leq 2 π$
181678	Evaluate	-1/(-1^2+1)	$\frac{- 1}{- 1^{2} + 1}$
181679	Evaluate	(7/2b-3)-(8+6b)	$(\frac{7}{2} b - 3) - (8 + 6 b)$
181680	Simplify	(x^5-x^4-6x^3)/(4x+8)*(2x^2-50)/(x^2-8x+15)	$\frac{x^{5} - x^{4} - 6 x^{3}}{4 x + 8} \cdot \frac{2 x^{2} - 50}{x^{2} - 8 x + 15}$
181681	Solve for y	y=e^(3+3)+2	$y = e^{3 + 3} + 2$
181682	Graph	{x\|x<=0}	${x \| x \leq 0}$
181683	Simplify	(4xy)/(12x^2y)	$\frac{4 x y}{12 x^{2} y}$
181684	Simplify	log base 2 of cube root of 16	$\log_{2} (\sqrt[3]{16})$
181685	Find the Holes in the Graph	f(x)=(x^2-2x-8)/(-x^2+3x+4)	$f (x) = \frac{x^{2} - 2 x - 8}{- x^{2} + 3 x + 4}$
181686	Simplify	square root of 80xy^2z	$\sqrt{80 x y^{2} z}$
181687	Evaluate	(5!5!)/(2!7!)	$\frac{5! 5!}{2! 7!}$
181688	Subtract	(6d+5)-(2-3d)	$(6 d + 5) - (2 - 3 d)$
181689	Simplify	(2x-1)/(2x^2+5x+3)+2/(3x+3)	$\frac{2 x - 1}{2 x^{2} + 5 x + 3} + \frac{2}{3 x + 3}$
181690	Solve the Inequality for x	\|x-8\|>3	$\| x - 8 \| > 3$
181691	Solve for x	3x+wx=20	$3 x + w x = 20$
181692	Find the Distance Between Two Points	(6,2) and (1,-4)	$(6, 2)$ and $(1, - 4)$
181693	Evaluate	1/2(5/6)^2-1/8	$\frac{1}{2} {(\frac{5}{6})}^{2} - \frac{1}{8}$
181694	Graph	y=2f(x+2)+1	$y = 2 f (x + 2) + 1$
181695	Simplify	(-d^2-6d+4)/(d^2-1)-(-2d^2-6d+5)/(-d^2+1)	$\frac{- d^{2} - 6 d + 4}{d^{2} - 1} - \frac{- 2 d^{2} - 6 d + 5}{- d^{2} + 1}$
181696	Solve for x	\|2x\|=7	$\| 2 x \| = 7$
181697	Solve for y	2+1/6y=3x+4 for y	$2 + \frac{1}{6} y = 3 x + 4$ for $y$
181698	Divide	2x^3+3x^2+5x-4÷(x^2)+x+1	$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$
181699	Graph	p(x)=x(x-2)(2x-7)	$p (x) = x (x - 2) (2 x - 7)$
181700	Multiply	(9c^2+c^6)(9c^2-c^6)	$(9 c^{2} + c^{6}) (9 c^{2} - c^{6})$