Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196601	Solve the Inequality for m	-15+6\|2m-1\|<3	$- 15 + 6 \| 2 m - 1 \| < 3$
196602	Find the Degree, Leading Term, and Leading Coefficient	10x^2+x^4-5-2x^5	$10 x^{2} + x^{4} - 5 - 2 x^{5}$
196603	Simplify	4x(x+3)-(2x-3)^2	$4 x (x + 3) - {(2 x - 3)}^{2}$
196604	Divide	(27x^2-9a)/3	$\frac{27 x^{2} - 9 a}{3}$
196605	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2+x-3=0	$2 x^{2} + x - 3 = 0$
196606	Solve for x	\|2x-3\|=x^2	$\| 2 x - 3 \| = x^{2}$
196607	Multiply	(x^2+3x-4)/(3x^2-48)*(x^3-49x)/(x^2+6x-7)	$\frac{x^{2} + 3 x - 4}{3 x^{2} - 48} \cdot \frac{x^{3} - 49 x}{x^{2} + 6 x - 7}$
196608	Simplify	(2^35^-2)(2^-25^4)	$(2^{3} \cdot 5^{- 2}) (2^{- 2} \cdot 5^{4})$
196609	Find the Domain and Range	y=(3x)/(x+5)	$y = \frac{3 x}{x + 5}$
196610	Find the End Behavior	f(x)=5x^3+180x+160+60x^2	$f (x) = 5 x^{3} + 180 x + 160 + 60 x^{2}$
196611	Solve the Inequality for x	x>-7/3(-9x+3)-9	$x > - \frac{7}{3} (- 9 x + 3) - 9$
196612	Evaluate	2^1-2^-1+2^0	$2^{1} - 2^{- 1} + 2^{0}$
196613	Solve the Inequality for x	-8<=x+4<14	$- 8 \leq x + 4 < 14$
196614	Simplify	( cube root of 3)/( cube root of 4)	$\frac{\sqrt[3]{3}}{\sqrt[3]{4}}$
196615	Factor by Grouping	w^2+3w+w+3	$w^{2} + 3 w + w + 3$
196616	Simplify	((3x-15)/(x^2-25))÷((12(x+1))/(x^2+3x-10))	$\frac{3 x - 15}{x^{2} - 25} \div \frac{12 (x + 1)}{x^{2} + 3 x - 10}$
196617	Factor	a^3b^2+8ab^3-2ab-4ab^2	$a^{3} b^{2} + 8 a b^{3} - 2 a b - 4 a b^{2}$
196618	Find the Perfect Square Trinomial	(a+b)^2	${(a + b)}^{2}$
196619	Solve for p	8/9p=12/18	$\frac{8}{9} p = \frac{12}{18}$
196620	Solve for n	20=n+ square root of n	$20 = n + \sqrt{n}$
196621	Simplify	(4f^5-6f^4+12f^3-8f^2)(4f^2)^-1	$(4 f^{5} - 6 f^{4} + 12 f^{3} - 8 f^{2}) {(4 f^{2})}^{- 1}$
196622	Solve for x	Ax+By=-c	$A x + B y = - c$
196623	Find the x and y Intercepts	f(x)=(5x^2+7x-24)/(10x-16)	$f (x) = \frac{5 x^{2} + 7 x - 24}{10 x - 16}$
196624	Solve for c	16c^2-28c+9=-4c	$16 c^{2} - 28 c + 9 = - 4 c$
196625	Evaluate	3^1-1	$3^{1} - 1$
196626	Divide	(x^4-5x^3-10x^2+15x)/(-5x)	$\frac{x^{4} - 5 x^{3} - 10 x^{2} + 15 x}{- 5 x}$
196627	Graph	y<-2 x+y>=1	$y < - 2$ $x + y \geq 1$
196628	Solve the Inequality for p	p-6>=3	$p - 6 \geq 3$
196629	Graph	y=-2x+1,x>=1; -x+2,x<1	$y = {\begin{cases} - 2 x + 1, x \geq 1 \\ - x + 2, x < 1 \end{cases}$
196630	Divide	a÷a	$a \div a$
196631	Simplify	( cube root of 2)/( cube root of -128)	$\frac{\sqrt[3]{2}}{\sqrt[3]{- 128}}$
196632	Solve for h	v=pi/3r^2h	$v = \frac{π}{3} r^{2} h$
196633	Find the Roots (Zeros)	x(x-3)^2	$x {(x - 3)}^{2}$
196634	Solve for x	3x+4x+5x=4(x+2)	$3 x + 4 x + 5 x = 4 (x + 2)$
196635	Simplify	i^34*i^14	$i^{34} \cdot i^{14}$
196636	Describe the Transformation	g(x)=-f(x-2)	$g (x) = - f (x - 2)$
196637	Multiply	(a+b)*(a-b)	$(a + b) \cdot (a - b)$
196638	Graph	2x-3y=-1 and y=x-1	$2 x - 3 y = - 1$ and $y = x - 1$
196639	Solve for x	(2x-3)/(x-4)=2/3	$\frac{2 x - 3}{x - 4} = \frac{2}{3}$
196640	Graph	y=(x-1)^4-3	$y = {(x - 1)}^{4} - 3$
196641	Write in Slope-Intercept Form	2x-y>=5	$2 x - y \geq 5$
196642	Solve for s	P=q+3+s	$P = q + 3 + s$
196643	Solve for m	-8<-1/4m	$- 8 < - \frac{1}{4} m$
196644	Simplify the Radical Expression	(6^4)^2	${(6^{4})}^{2}$
196645	Find All Complex Solutions	2cos(x)^2=2+sin(x)	$2 \cos^{2} (x) = 2 + \sin (x)$
196646	Solve for y	xy+2y=1	$x y + 2 y = 1$
196647	Find the LCM	42a^3b , 49b^5c^5	$42 a^{3} b$ , $49 b^{5} c^{5}$
196648	Evaluate	1/3*2pi	$\frac{1}{3} \cdot 2 π$
196649	Solve for x	(x+5)/(x+1)+x/(x-1)=x/(x-1)	$\frac{x + 5}{x + 1} + \frac{x}{x - 1} = \frac{x}{x - 1}$
196650	Find the LCD	9/(2x) and 1/(6x+6)	$\frac{9}{2 x}$ and $\frac{1}{6 x + 6}$
196651	Simplify	(x^2+6x-5)+(2x^2+15)	$(x^{2} + 6 x - 5) + (2 x^{2} + 15)$
196652	Graph	f(x)=x^2 if \|x\|<=1; 1 if \|x\|>1	$f (x) = {\begin{cases} x^{2} & \| x \| \leq 1 \\ 1 & \| x \| > 1 \end{cases}$
196653	Convert to Interval Notation	-1<=x	$- 1 \leq x$
196654	Find the Excluded Values	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
196655	Find All Complex Solutions	\|x\|=0	$\| x \| = 0$
196656	Solve for x	-z+y-x=5/7	$- z + y - x = \frac{5}{7}$
196657	Find f(g(x))	f(x)=-x+6 g(x)=2x^2+x+2	$f (x) = - x + 6$ $g (x) = 2 x^{2} + x + 2$
196658	Solve Using the Quadratic Formula	2n(4n+5)+6=0	$2 n (4 n + 5) + 6 = 0$
196659	Solve for y	-2 1/4=-1 2/5+y	$- 2 \frac{1}{4} = - 1 \frac{2}{5} + y$
196660	Determine if a Polynomial	8a^3+a^5-a	$8 a^{3} + a^{5} - a$
196661	Evaluate	2pi*4.5	$2 π \cdot 4.5$
196662	Evaluate	4(-2)-\|3(-3)+2(2)\|	$4 (- 2) - \| 3 (- 3) + 2 (2) \|$
196663	Solve for y	2x=y^2	$2 x = y^{2}$
196664	Simplify	(2r^2+r-1)-(3r^2+4r-5)	$(2 r^{2} + r - 1) - (3 r^{2} + 4 r - 5)$
196665	Simplify	(4- square root of x)(4+ square root of x)	$(4 - \sqrt{x}) (4 + \sqrt{x})$
196666	Find the Holes in the Graph	(-x^2+5x)/(2x^2)	$\frac{- x^{2} + 5 x}{2 x^{2}}$
196667	Solve for x	4x+2(x-4)=8(x-1)-2x	$4 x + 2 (x - 4) = 8 (x - 1) - 2 x$
196668	Simplify	3/8+1/4+1/2-2/3	$\frac{3}{8} + \frac{1}{4} + \frac{1}{2} - \frac{2}{3}$
196669	Graph	f(x)=(x^2)/(x^2-x-12)	$f (x) = \frac{x^{2}}{x^{2} - x - 12}$
196670	Simplify	5/3(4/3a+9b+2/3a)	$\frac{5}{3} (\frac{4}{3} a + 9 b + \frac{2}{3} a)$
196671	Solve the Inequality for x	x^2<x+6	$x^{2} < x + 6$
196672	Solve for x	1-1/(x-2)=2/(x-2)	$1 - \frac{1}{x - 2} = \frac{2}{x - 2}$
196673	Simplify	((x+2)/(x^2+5x+6))÷((3x+1)/(x^2-9))	$\frac{x + 2}{x^{2} + 5 x + 6} \div \frac{3 x + 1}{x^{2} - 9}$
196674	Solve for x	-9x+9-12x=4x-13-5x	$- 9 x + 9 - 12 x = 4 x - 13 - 5 x$
196675	Solve for v	5-(8v+5)=-4(1+3v)	$5 - (8 v + 5) = - 4 (1 + 3 v)$
196676	Solve for x	3(4)(-7)+3(4x)=24	$3 (4) (- 7) + 3 (4 x) = 24$
196677	Factor	(x^3-8)/(x^2-4)	$\frac{x^{3} - 8}{x^{2} - 4}$
196678	Solve for x	3(64x^2-49)(x^2-13)=0	$3 (64 x^{2} - 49) (x^{2} - 13) = 0$
196679	Find the Exact Value	sin(pi/12)cos(pi/4)+cos(pi/12)sin(pi/4)	$\sin (\frac{π}{12}) \cos (\frac{π}{4}) + \cos (\frac{π}{12}) \sin (\frac{π}{4})$
196680	Simplify	((16p^5w^2)/(2p^3w^3))^0	${(\frac{16 p^{5} w^{2}}{2 p^{3} w^{3}})}^{0}$
196681	Graph	27+3y=6x	$27 + 3 y = 6 x$
196682	Evaluate	m/pi=7.3	$\frac{m}{π} = 7.3$
196683	Subtract	4-9/2	$4 - \frac{9}{2}$
196684	Solve for x	2x-r=v+w	$2 x - r = v + w$
196685	Solve for x	a/x+b/x=c	$\frac{a}{x} + \frac{b}{x} = c$
196686	Solve the Inequality for x	-7/5>-3-(-x+1)-2/5x	$- \frac{7}{5} > - 3 - (- x + 1) - \frac{2}{5} x$
196687	Solve for x	x/2+1=1/4x-6	$\frac{x}{2} + 1 = \frac{1}{4} x - 6$
196688	Graph	p(x)=(x-3)(x+3)(2x+1)^2	$p (x) = (x - 3) (x + 3) {(2 x + 1)}^{2}$
196689	Solve the Inequality for x	-9-(-7x-3/2)>-10	$- 9 - (- 7 x - \frac{3}{2}) > - 10$
196690	Solve the Inequality for x	(x^2)/(3x-7)<=0	$\frac{x^{2}}{3 x - 7} \leq 0$
196691	Find the Quadratic Equation Given the Roots	5 and 7	$5$ and $7$
196692	Factor	x^(-9/2)+2x^(-7/2)+x^(-5/2)	$x^{- \frac{9}{2}} + 2 x^{- \frac{7}{2}} + x^{- \frac{5}{2}}$
196693	Solve for x	4+1/x=10/(2x)	$4 + \frac{1}{x} = \frac{10}{2 x}$
196694	Graph	((x-5)^2)/25=1-((y+2)^2)/9	$\frac{{(x - 5)}^{2}}{25} = 1 - \frac{{(y + 2)}^{2}}{9}$
196695	Solve for x	2/3-2x=5+4/3x	$\frac{2}{3} - 2 x = 5 + \frac{4}{3} x$
196696	Multiply	(y^2-y-2)/(y^2+2y+1)*(y^2-1)/(y-2)	$\frac{y^{2} - y - 2}{y^{2} + 2 y + 1} \cdot \frac{y^{2} - 1}{y - 2}$
196697	Find the Domain and Range	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$ ?
196698	Find the Degree, Leading Term, and Leading Coefficient	-8x-5x^4-1-(x^5)/9+8x^3	$- 8 x - 5 x^{4} - 1 - \frac{x^{5}}{9} + 8 x^{3}$
196699	Simplify	(x(x^2-9))/(x^2-2x-3)	$\frac{x (x^{2} - 9)}{x^{2} - 2 x - 3}$
196700	Graph Using a Table of Values	e^x	$e^{x}$