Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196601	Solve for x	3x+2(x-2)=5x-4	$3 x + 2 (x - 2) = 5 x - 4$
196602	Solve for x	3/x=4/(3x)-10/3	$\frac{3}{x} = \frac{4}{3 x} - \frac{10}{3}$
196603	Solve for x	(x-2)-2(x-1)=x+1-(x-4)	$(x - 2) - 2 (x - 1) = x + 1 - (x - 4)$
196604	Solve the Inequality for h	-13h<=52	$- 13 h \leq 52$
196605	Solve the Inequality for x	-2(3x+6)>=4(x+7)	$- 2 (3 x + 6) \geq 4 (x + 7)$
196606	Simplify	-3/2x-68+2x+8	$- \frac{3}{2} x - 68 + 2 x + 8$
196607	Solve the Inequality for x	(x^2-1)/(x^2-4)<=0	$\frac{x^{2} - 1}{x^{2} - 4} \leq 0$
196608	Solve for x	5^(x+3)>=25	$5^{x + 3} \geq 25$
196609	Simplify	(9a^2-7b+3c^3-4)-(6a^2+6b-3c^3-4)	$(9 a^{2} - 7 b + 3 c^{3} - 4) - (6 a^{2} + 6 b - 3 c^{3} - 4)$
196610	Find the x and y Intercepts	f(x)=(3x+27)/(x^2+x-72)	$f (x) = \frac{3 x + 27}{x^{2} + x - 72}$
196611	Multiply	13/5226/524/52	$\frac{13}{52} \cdot \frac{26}{52} \cdot \frac{4}{52}$
196612	Find the Exact Value	5/6-1/3	$\frac{5}{6} - \frac{1}{3}$
196613	Solve for x	10/(10+x)=35/56	$\frac{10}{10 + x} = \frac{35}{56}$
196614	Find the Exact Value	square root of 2/2	$\sqrt{\frac{2}{2}}$
196615	Simplify	x^3*3x^2	$x^{3} \cdot 3 x^{2}$
196616	Solve the Inequality for m	-15+6\|2m-1\|<3	$- 15 + 6 \| 2 m - 1 \| < 3$
196617	Find the Degree, Leading Term, and Leading Coefficient	10x^2+x^4-5-2x^5	$10 x^{2} + x^{4} - 5 - 2 x^{5}$
196618	Simplify	4x(x+3)-(2x-3)^2	$4 x (x + 3) - {(2 x - 3)}^{2}$
196619	Divide	(27x^2-9a)/3	$\frac{27 x^{2} - 9 a}{3}$
196620	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2+x-3=0	$2 x^{2} + x - 3 = 0$
196621	Solve for x	\|2x-3\|=x^2	$\| 2 x - 3 \| = x^{2}$
196622	Multiply	(x^2+3x-4)/(3x^2-48)*(x^3-49x)/(x^2+6x-7)	$\frac{x^{2} + 3 x - 4}{3 x^{2} - 48} \cdot \frac{x^{3} - 49 x}{x^{2} + 6 x - 7}$
196623	Simplify	(2^35^-2)(2^-25^4)	$(2^{3} \cdot 5^{- 2}) (2^{- 2} \cdot 5^{4})$
196624	Find the Domain and Range	y=(3x)/(x+5)	$y = \frac{3 x}{x + 5}$
196625	Find the End Behavior	f(x)=5x^3+180x+160+60x^2	$f (x) = 5 x^{3} + 180 x + 160 + 60 x^{2}$
196626	Solve the Inequality for x	x>-7/3(-9x+3)-9	$x > - \frac{7}{3} (- 9 x + 3) - 9$
196627	Evaluate	2^1-2^-1+2^0	$2^{1} - 2^{- 1} + 2^{0}$
196628	Solve the Inequality for x	-8<=x+4<14	$- 8 \leq x + 4 < 14$
196629	Simplify	( cube root of 3)/( cube root of 4)	$\frac{\sqrt[3]{3}}{\sqrt[3]{4}}$
196630	Factor by Grouping	w^2+3w+w+3	$w^{2} + 3 w + w + 3$
196631	Simplify	((3x-15)/(x^2-25))÷((12(x+1))/(x^2+3x-10))	$\frac{3 x - 15}{x^{2} - 25} \div \frac{12 (x + 1)}{x^{2} + 3 x - 10}$
196632	Factor	a^3b^2+8ab^3-2ab-4ab^2	$a^{3} b^{2} + 8 a b^{3} - 2 a b - 4 a b^{2}$
196633	Find the Perfect Square Trinomial	(a+b)^2	${(a + b)}^{2}$
196634	Solve for p	8/9p=12/18	$\frac{8}{9} p = \frac{12}{18}$
196635	Solve for n	20=n+ square root of n	$20 = n + \sqrt{n}$
196636	Simplify	(4f^5-6f^4+12f^3-8f^2)(4f^2)^-1	$(4 f^{5} - 6 f^{4} + 12 f^{3} - 8 f^{2}) {(4 f^{2})}^{- 1}$
196637	Solve for x	Ax+By=-c	$A x + B y = - c$
196638	Find the x and y Intercepts	f(x)=(5x^2+7x-24)/(10x-16)	$f (x) = \frac{5 x^{2} + 7 x - 24}{10 x - 16}$
196639	Solve for c	16c^2-28c+9=-4c	$16 c^{2} - 28 c + 9 = - 4 c$
196640	Evaluate	3^1-1	$3^{1} - 1$
196641	Divide	(x^4-5x^3-10x^2+15x)/(-5x)	$\frac{x^{4} - 5 x^{3} - 10 x^{2} + 15 x}{- 5 x}$
196642	Graph	y<-2 x+y>=1	$y < - 2$ $x + y \geq 1$
196643	Solve the Inequality for p	p-6>=3	$p - 6 \geq 3$
196644	Graph	y=-2x+1,x>=1; -x+2,x<1	$y = {\begin{cases} - 2 x + 1, x \geq 1 \\ - x + 2, x < 1 \end{cases}$
196645	Divide	a÷a	$a \div a$
196646	Simplify	( cube root of 2)/( cube root of -128)	$\frac{\sqrt[3]{2}}{\sqrt[3]{- 128}}$
196647	Solve for h	v=pi/3r^2h	$v = \frac{π}{3} r^{2} h$
196648	Find the Roots (Zeros)	x(x-3)^2	$x {(x - 3)}^{2}$
196649	Solve for x	3x+4x+5x=4(x+2)	$3 x + 4 x + 5 x = 4 (x + 2)$
196650	Simplify	i^34*i^14	$i^{34} \cdot i^{14}$
196651	Describe the Transformation	g(x)=-f(x-2)	$g (x) = - f (x - 2)$
196652	Multiply	(a+b)*(a-b)	$(a + b) \cdot (a - b)$
196653	Graph	2x-3y=-1 and y=x-1	$2 x - 3 y = - 1$ and $y = x - 1$
196654	Solve for x	(2x-3)/(x-4)=2/3	$\frac{2 x - 3}{x - 4} = \frac{2}{3}$
196655	Graph	y=(x-1)^4-3	$y = {(x - 1)}^{4} - 3$
196656	Write in Slope-Intercept Form	2x-y>=5	$2 x - y \geq 5$
196657	Solve for s	P=q+3+s	$P = q + 3 + s$
196658	Solve for m	-8<-1/4m	$- 8 < - \frac{1}{4} m$
196659	Simplify the Radical Expression	(6^4)^2	${(6^{4})}^{2}$
196660	Find All Complex Solutions	2cos(x)^2=2+sin(x)	$2 \cos^{2} (x) = 2 + \sin (x)$
196661	Solve for y	xy+2y=1	$x y + 2 y = 1$
196662	Find the LCM	42a^3b , 49b^5c^5	$42 a^{3} b$ , $49 b^{5} c^{5}$
196663	Evaluate	1/3*2pi	$\frac{1}{3} \cdot 2 π$
196664	Solve for x	(x+5)/(x+1)+x/(x-1)=x/(x-1)	$\frac{x + 5}{x + 1} + \frac{x}{x - 1} = \frac{x}{x - 1}$
196665	Find the LCD	9/(2x) and 1/(6x+6)	$\frac{9}{2 x}$ and $\frac{1}{6 x + 6}$
196666	Simplify	(x^2+6x-5)+(2x^2+15)	$(x^{2} + 6 x - 5) + (2 x^{2} + 15)$
196667	Graph	f(x)=x^2 if \|x\|<=1; 1 if \|x\|>1	$f (x) = {\begin{cases} x^{2} & \| x \| \leq 1 \\ 1 & \| x \| > 1 \end{cases}$
196668	Convert to Interval Notation	-1<=x	$- 1 \leq x$
196669	Find the Excluded Values	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
196670	Find All Complex Solutions	\|x\|=0	$\| x \| = 0$
196671	Solve for x	-z+y-x=5/7	$- z + y - x = \frac{5}{7}$
196672	Find f(g(x))	f(x)=-x+6 g(x)=2x^2+x+2	$f (x) = - x + 6$ $g (x) = 2 x^{2} + x + 2$
196673	Solve Using the Quadratic Formula	2n(4n+5)+6=0	$2 n (4 n + 5) + 6 = 0$
196674	Solve for y	-2 1/4=-1 2/5+y	$- 2 \frac{1}{4} = - 1 \frac{2}{5} + y$
196675	Determine if a Polynomial	8a^3+a^5-a	$8 a^{3} + a^{5} - a$
196676	Evaluate	2pi*4.5	$2 π \cdot 4.5$
196677	Evaluate	4(-2)-\|3(-3)+2(2)\|	$4 (- 2) - \| 3 (- 3) + 2 (2) \|$
196678	Solve for y	2x=y^2	$2 x = y^{2}$
196679	Simplify	(2r^2+r-1)-(3r^2+4r-5)	$(2 r^{2} + r - 1) - (3 r^{2} + 4 r - 5)$
196680	Simplify	(4- square root of x)(4+ square root of x)	$(4 - \sqrt{x}) (4 + \sqrt{x})$
196681	Find the Holes in the Graph	(-x^2+5x)/(2x^2)	$\frac{- x^{2} + 5 x}{2 x^{2}}$
196682	Solve for x	4x+2(x-4)=8(x-1)-2x	$4 x + 2 (x - 4) = 8 (x - 1) - 2 x$
196683	Simplify	3/8+1/4+1/2-2/3	$\frac{3}{8} + \frac{1}{4} + \frac{1}{2} - \frac{2}{3}$
196684	Graph	f(x)=(x^2)/(x^2-x-12)	$f (x) = \frac{x^{2}}{x^{2} - x - 12}$
196685	Simplify	5/3(4/3a+9b+2/3a)	$\frac{5}{3} (\frac{4}{3} a + 9 b + \frac{2}{3} a)$
196686	Solve the Inequality for x	x^2<x+6	$x^{2} < x + 6$
196687	Solve for x	1-1/(x-2)=2/(x-2)	$1 - \frac{1}{x - 2} = \frac{2}{x - 2}$
196688	Simplify	((x+2)/(x^2+5x+6))÷((3x+1)/(x^2-9))	$\frac{x + 2}{x^{2} + 5 x + 6} \div \frac{3 x + 1}{x^{2} - 9}$
196689	Solve for x	-9x+9-12x=4x-13-5x	$- 9 x + 9 - 12 x = 4 x - 13 - 5 x$
196690	Solve for v	5-(8v+5)=-4(1+3v)	$5 - (8 v + 5) = - 4 (1 + 3 v)$
196691	Solve for x	3(4)(-7)+3(4x)=24	$3 (4) (- 7) + 3 (4 x) = 24$
196692	Factor	(x^3-8)/(x^2-4)	$\frac{x^{3} - 8}{x^{2} - 4}$
196693	Solve for x	3(64x^2-49)(x^2-13)=0	$3 (64 x^{2} - 49) (x^{2} - 13) = 0$
196694	Find the Exact Value	sin(pi/12)cos(pi/4)+cos(pi/12)sin(pi/4)	$\sin (\frac{π}{12}) \cos (\frac{π}{4}) + \cos (\frac{π}{12}) \sin (\frac{π}{4})$
196695	Simplify	((16p^5w^2)/(2p^3w^3))^0	${(\frac{16 p^{5} w^{2}}{2 p^{3} w^{3}})}^{0}$
196696	Graph	27+3y=6x	$27 + 3 y = 6 x$
196697	Evaluate	m/pi=7.3	$\frac{m}{π} = 7.3$
196698	Subtract	4-9/2	$4 - \frac{9}{2}$
196699	Solve for x	2x-r=v+w	$2 x - r = v + w$
196700	Solve for x	a/x+b/x=c	$\frac{a}{x} + \frac{b}{x} = c$