Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166601	Solve for w	vw^2+y=x	$v w^{2} + y = x$
166602	Solve the Inequality for d	-4-4(-2d-4)<=d+4-9	$- 4 - 4 (- 2 d - 4) \leq d + 4 - 9$
166603	Solve for x	68=1/5(20x+50)+2	$68 = \frac{1}{5} (20 x + 50) + 2$
166604	Simplify	square root of 2* square root of 3* square root of 6	$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{6}$
166605	Solve the Inequality for d	-10+2(-9d+8)<6d+10-2	$- 10 + 2 (- 9 d + 8) < 6 d + 10 - 2$
166606	Simplify	10y-2y+11-3+8x-4x	$10 y - 2 y + 11 - 3 + 8 x - 4 x$
166607	Solve for y	(y+3)/(y-1)=4/(y-1)	$\frac{y + 3}{y - 1} = \frac{4}{y - 1}$
166608	Factor	f(x)=x^4-x^3-7x^2+x+6	$f (x) = x^{4} - x^{3} - 7 x^{2} + x + 6$
166609	Find the Axis of Symmetry	y^2+x+10=0	$y^{2} + x + 10 = 0$
166610	Combine Like Terms	7-6y-5x^3-1+x^3-7-2y	$7 - 6 y - 5 x^{3} - 1 + x^{3} - 7 - 2 y$
166611	Solve the Inequality for x	x(2x+1)(5x-30)<=0	$x (2 x + 1) (5 x - 30) \leq 0$
166612	Simplify	(p^2+p-6)(p^2-6)	$(p^{2} + p - 6) (p^{2} - 6)$
166613	Graph	y=-1/3csc(x+pi/2)	$y = - \frac{1}{3} \csc (x + \frac{π}{2})$
166614	Find the LCD	3/(x^2-x-2) and -2/(x^2-16)	$\frac{3}{x^{2} - x - 2}$ and $\frac{- 2}{x^{2} - 16}$
166615	Graph	f(x)=1/4(x+4)^2+3	$f (x) = \frac{1}{4} {(x + 4)}^{2} + 3$
166616	Factor	20-35n^2-20n^3	$20 - 35 n^{2} - 20 n^{3}$
166617	Solve for s	\|2s\|+19=13	$\| 2 s \| + 19 = 13$
166618	Find the LCD	(2x)/(5x-20) and 3/(2x-8)	$\frac{2 x}{5 x - 20}$ and $\frac{3}{2 x - 8}$
166619	Simplify	(x^-2y^(1/2))/(x^(1/3)y^-1)	$\frac{x^{- 2} y^{\frac{1}{2}}}{x^{\frac{1}{3}} y^{- 1}}$
166620	Solve the Inequality for s	-10s+2(-2s-9)<=3s-1+7s	$- 10 s + 2 (- 2 s - 9) \leq 3 s - 1 + 7 s$
166621	Simplify the Radical Expression	square root of 36g^6	$\sqrt{36 g^{6}}$
166622	Solve Using the Quadratic Formula	-5c^2+c-18=-6c^2	$- 5 c^{2} + c - 18 = - 6 c^{2}$
166623	Factor	(x+5)^4+2(x+5)^2-1	${(x + 5)}^{4} + 2 {(x + 5)}^{2} - 1$
166624	Solve the Inequality for r	9r-(-2r-10)<=-6r-1+6	$9 r - (- 2 r - 10) \leq - 6 r - 1 + 6$
166625	Evaluate	4x^-2+3x^-5	$4 x^{- 2} + 3 x^{- 5}$
166626	Write in Standard Form	-0.08x=1.24y-3.12	$- 0.08 x = 1.24 y - 3.12$
166627	Solve the System of Inequalities	2x+1<=-2 or 2x+1>=2	$2 x + 1 \leq - 2$ or $2 x + 1 \geq 2$
166628	Solve the Inequality for r	-3(r-4)>=0	$- 3 (r - 4) \geq 0$
166629	Find the Function	f(x)=3x^2+2x-4	$f (x) = 3 x^{2} + 2 x - 4$
166630	Graph	P(x)=x(x^2-9)	$P (x) = x (x^{2} - 9)$
166631	Solve the System of Equations	-4x-y=-28 x+y=4	$- 4 x - y = - 28$ $x + y = 4$
166632	Find the LCD	(4x)/(5x-15) and (7x)/(3x-9)	$\frac{4 x}{5 x - 15}$ and $\frac{7 x}{3 x - 9}$
166633	Solve the System of Equations	-3x-4y=4 -5x+y=2	$- 3 x - 4 y = 4$ $- 5 x + y = 2$
166634	Find the Perfect Square Trinomial	x^2+x+1	$x^{2} + x + 1$
166635	Solve for a	18=\|-a+9\|	$18 = \| - a + 9 \|$
166636	Solve for m	2(8m+3)-15m-4=9m+6-2(m-1)-7m	$2 (8 m + 3) - 15 m - 4 = 9 m + 6 - 2 (m - 1) - 7 m$
166637	Simplify	fifth root of z^4z^(-3/2)	$\sqrt[5]{z^{4} z^{- \frac{3}{2}}}$
166638	Simplify	(9x^16)/(6(x^2)^3x^2)	$\frac{9 x^{16}}{6 {(x^{2})}^{3} x^{2}}$
166639	Graph	f(x)=1+ square root of x	$f (x) = 1 + \sqrt{x}$
166640	Find the Domain and Range	d(x)=\|x\|-4	$d (x) = \| x \| - 4$
166641	Solve for y	45=\|y+22\|	$45 = \| y + 22 \|$
166642	Solve for x	9-4\|3+5x\|=5	$9 - 4 \| 3 + 5 x \| = 5$
166643	Solve for x	8x^2-24=3x^2-9	$8 x^{2} - 24 = 3 x^{2} - 9$
166644	Simplify	(x-x/(x+3))/(x+2)	$\frac{x - \frac{x}{x + 3}}{x + 2}$
166645	Solve for x	5x-10=2-2x+10(x-3)	$5 x - 10 = 2 - 2 x + 10 (x - 3)$
166646	Solve for x	4/(x+3)+5/6=23/18	$\frac{4}{x + 3} + \frac{5}{6} = \frac{23}{18}$
166647	Solve for d	6(d+1)-2d=54	$6 (d + 1) - 2 d = 54$
166648	Find the Product	(a+b-c)(a+b+c)	$(a + b - c) (a + b + c)$
166649	Simplify	-1/8(4/5x-24)	$- \frac{1}{8} (\frac{4}{5} x - 24)$
166650	Subtract	7x+2 from -5x^2-2x	$7 x + 2$ from $- 5 x^{2} - 2 x$
166651	Simplify	3/2((58-10^2)÷( square root of 16+3))	$\frac{3}{2} ((58 - 10^{2}) \div (\sqrt{16} + 3))$
166652	Evaluate	1+negative infinity	$1 + - \infty$
166653	Find the Exact Value	csc(-450 degrees )	$\csc (- 450 °)$
166654	Simplify	(10x^3-9xy^5)^2	${(10 x^{3} - 9 x y^{5})}^{2}$
166655	Subtract	2 1/4-3/4	$2 \frac{1}{4} - \frac{3}{4}$
166656	Solve for y	-1/8=1/2+2/9y	$- \frac{1}{8} = \frac{1}{2} + \frac{2}{9} y$
166657	Evaluate	cube root of square root of 64	$\sqrt[3]{\sqrt{64}}$
166658	Simplify the Radical Expression	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
166659	Simplify	(-3 square root of -63)(9 square root of -7)	$(- 3 \sqrt{- 63}) (9 \sqrt{- 7})$
166660	Simplify	e^(-x)*e^x	$e^{- x} \cdot e^{x}$
166661	Solve for x	2(2+x)-(6-7x)=13x-(1+4x)	$2 (2 + x) - (6 - 7 x) = 13 x - (1 + 4 x)$
166662	Graph	x^2+8x<-12	$x^{2} + 8 x < - 12$
166663	Find the Directrix	-2x^2-4x+y+70=0	$- 2 x^{2} - 4 x + y + 70 = 0$
166664	Simplify	( square root of 36x^6)/( square root of 9x^4)	$\frac{\sqrt{36 x^{6}}}{\sqrt{9 x^{4}}}$
166665	Simplify	-1/(-9i)	$\frac{- 1}{- 9 i}$
166666	Solve for z	-20z+9z+5z+9z-20=4	$- 20 z + 9 z + 5 z + 9 z - 20 = 4$
166667	Solve the Inequality for c	10c+2(8c+10)<c-8-7	$10 c + 2 (8 c + 10) < c - 8 - 7$
166668	Factor	(x-2)^4-(y+3)^4	${(x - 2)}^{4} - {(y + 3)}^{4}$
166669	Solve for R	P=I^2R	$P = I^{2} R$
166670	Simplify	(-2a^2b^4)/(4ab^-8)	$\frac{- 2 a^{2} b^{4}}{4 a b^{- 8}}$
166671	Evaluate	-5/2+1	$- \frac{5}{2} + 1$
166672	Simplify	((2x^2-5x-3)/(x^2+x-20))((x^2+8x+15)/(2x^2+9x+4))	$(\frac{2 x^{2} - 5 x - 3}{x^{2} + x - 20}) (\frac{x^{2} + 8 x + 15}{2 x^{2} + 9 x + 4})$
166673	Find All Complex Solutions	(cot(theta)-1)(2sin(theta)+1)=0	$(\cot (θ) - 1) (2 \sin (θ) + 1) = 0$
166674	Solve for z	square root of -6z+3+z=-4	$\sqrt{- 6 z + 3} + z = - 4$
166675	Solve for x	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
166676	Solve for x	xm=np ; for x	$x m = n p$ ; for $x$
166677	Simplify	-x/x	$- \frac{x}{x}$
166678	Solve the Inequality for h	-6+5(-2h+5)<-h-8-6	$- 6 + 5 (- 2 h + 5) < - h - 8 - 6$
166679	Simplify	(a+b/2)^2	${(a + \frac{b}{2})}^{2}$
166680	Solve the Absolute Value Inequality for s	3=-2\|1/4s-5\|+3	$3 = - 2 \| \frac{1}{4} s - 5 \| + 3$
166681	Find the Exact Value	sin(600 degrees )	$\sin (600 °)$
166682	Rationalize the Denominator	1/(2+ square root of 3)	$\frac{1}{2 + \sqrt{3}}$
166683	Find the Point-Slope Form	y=2x	$y = 2 x$
166684	Find the LCD	-7/(x^2-6x-27) and 3/(x^2-49)	$\frac{- 7}{x^{2} - 6 x - 27}$ and $\frac{3}{x^{2} - 49}$
166685	Solve for x	3(x+10)+6=3(x+12)	$3 (x + 10) + 6 = 3 (x + 12)$
166686	Simplify	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
166687	Find the Exact Value	sin(157.5 degrees )	$\sin (157.5 °)$
166688	Combine Like Terms	5x+3y^3-3+2x-3x+2+2y^3	$5 x + 3 y^{3} - 3 + 2 x - 3 x + 2 + 2 y^{3}$
166689	Find the LCD	(5x)/(x^2-7x-30) and 8/(x^2-5x-24)	$\frac{5 x}{x^{2} - 7 x - 30}$ and $\frac{8}{x^{2} - 5 x - 24}$
166690	Divide	(3/4)÷(7/8)	$\frac{3}{4} \div \frac{7}{8}$
166691	Graph	f(x)=-x-2,x<0; x,0<=x<3; x^2-1,3<=x	$f (x) = {\begin{cases} - x - 2, x < 0 \\ x, 0 \leq x < 3 \\ x^{2} - 1, 3 \leq x \end{cases}$
166692	Solve Using the Quadratic Formula	x-3	$x - 3$
166693	Factor	4m^2n^2-4mn^3	$4 m^{2} n^{2} - 4 m n^{3}$
166694	Solve for k	U=1/2kx^2	$U = \frac{1}{2} k x^{2}$
166695	Graph	f(x)=1/2 cube root of x	$f (x) = \frac{1}{2} \sqrt[3]{x}$
166696	Find the Exact Value	arcsec(-2/( square root of 3))	$arcsec (- \frac{2}{\sqrt{3}})$
166697	Subtract	10--2	$10 - - 2$
166698	Evaluate	(x^5)^2	${(x^{5})}^{2}$
166699	Solve for x	(5^(4x+3))/(25^(9-x))=5^(2x+5)	$\frac{5^{4 x + 3}}{25^{9 - x}} = 5^{2 x + 5}$
166700	Solve for x	x^2+3=4x	$x^{2} + 3 = 4 x$