Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166601	Factor	20-35n^2-20n^3	$20 - 35 n^{2} - 20 n^{3}$
166602	Solve for s	\|2s\|+19=13	$\| 2 s \| + 19 = 13$
166603	Find the LCD	(2x)/(5x-20) and 3/(2x-8)	$\frac{2 x}{5 x - 20}$ and $\frac{3}{2 x - 8}$
166604	Simplify	(x^-2y^(1/2))/(x^(1/3)y^-1)	$\frac{x^{- 2} y^{\frac{1}{2}}}{x^{\frac{1}{3}} y^{- 1}}$
166605	Solve the Inequality for s	-10s+2(-2s-9)<=3s-1+7s	$- 10 s + 2 (- 2 s - 9) \leq 3 s - 1 + 7 s$
166606	Simplify the Radical Expression	square root of 36g^6	$\sqrt{36 g^{6}}$
166607	Solve Using the Quadratic Formula	-5c^2+c-18=-6c^2	$- 5 c^{2} + c - 18 = - 6 c^{2}$
166608	Factor	(x+5)^4+2(x+5)^2-1	${(x + 5)}^{4} + 2 {(x + 5)}^{2} - 1$
166609	Solve the Inequality for r	9r-(-2r-10)<=-6r-1+6	$9 r - (- 2 r - 10) \leq - 6 r - 1 + 6$
166610	Evaluate	4x^-2+3x^-5	$4 x^{- 2} + 3 x^{- 5}$
166611	Write in Standard Form	-0.08x=1.24y-3.12	$- 0.08 x = 1.24 y - 3.12$
166612	Solve the System of Inequalities	2x+1<=-2 or 2x+1>=2	$2 x + 1 \leq - 2$ or $2 x + 1 \geq 2$
166613	Solve the Inequality for r	-3(r-4)>=0	$- 3 (r - 4) \geq 0$
166614	Find the Function	f(x)=3x^2+2x-4	$f (x) = 3 x^{2} + 2 x - 4$
166615	Graph	P(x)=x(x^2-9)	$P (x) = x (x^{2} - 9)$
166616	Solve the System of Equations	-4x-y=-28 x+y=4	$- 4 x - y = - 28$ $x + y = 4$
166617	Find the LCD	(4x)/(5x-15) and (7x)/(3x-9)	$\frac{4 x}{5 x - 15}$ and $\frac{7 x}{3 x - 9}$
166618	Solve the System of Equations	-3x-4y=4 -5x+y=2	$- 3 x - 4 y = 4$ $- 5 x + y = 2$
166619	Find the Perfect Square Trinomial	x^2+x+1	$x^{2} + x + 1$
166620	Solve for a	18=\|-a+9\|	$18 = \| - a + 9 \|$
166621	Solve for m	2(8m+3)-15m-4=9m+6-2(m-1)-7m	$2 (8 m + 3) - 15 m - 4 = 9 m + 6 - 2 (m - 1) - 7 m$
166622	Simplify	fifth root of z^4z^(-3/2)	$\sqrt[5]{z^{4} z^{- \frac{3}{2}}}$
166623	Simplify	(9x^16)/(6(x^2)^3x^2)	$\frac{9 x^{16}}{6 {(x^{2})}^{3} x^{2}}$
166624	Graph	f(x)=1+ square root of x	$f (x) = 1 + \sqrt{x}$
166625	Find the Domain and Range	d(x)=\|x\|-4	$d (x) = \| x \| - 4$
166626	Solve for y	45=\|y+22\|	$45 = \| y + 22 \|$
166627	Solve for x	9-4\|3+5x\|=5	$9 - 4 \| 3 + 5 x \| = 5$
166628	Solve for x	8x^2-24=3x^2-9	$8 x^{2} - 24 = 3 x^{2} - 9$
166629	Simplify	(x-x/(x+3))/(x+2)	$\frac{x - \frac{x}{x + 3}}{x + 2}$
166630	Solve for x	5x-10=2-2x+10(x-3)	$5 x - 10 = 2 - 2 x + 10 (x - 3)$
166631	Solve for x	4/(x+3)+5/6=23/18	$\frac{4}{x + 3} + \frac{5}{6} = \frac{23}{18}$
166632	Solve for d	6(d+1)-2d=54	$6 (d + 1) - 2 d = 54$
166633	Find the Product	(a+b-c)(a+b+c)	$(a + b - c) (a + b + c)$
166634	Simplify	-1/8(4/5x-24)	$- \frac{1}{8} (\frac{4}{5} x - 24)$
166635	Subtract	7x+2 from -5x^2-2x	$7 x + 2$ from $- 5 x^{2} - 2 x$
166636	Simplify	3/2((58-10^2)÷( square root of 16+3))	$\frac{3}{2} ((58 - 10^{2}) \div (\sqrt{16} + 3))$
166637	Evaluate	1+negative infinity	$1 + - \infty$
166638	Find the Exact Value	csc(-450 degrees )	$\csc (- 450 °)$
166639	Simplify	(10x^3-9xy^5)^2	${(10 x^{3} - 9 x y^{5})}^{2}$
166640	Subtract	2 1/4-3/4	$2 \frac{1}{4} - \frac{3}{4}$
166641	Solve for y	-1/8=1/2+2/9y	$- \frac{1}{8} = \frac{1}{2} + \frac{2}{9} y$
166642	Evaluate	cube root of square root of 64	$\sqrt[3]{\sqrt{64}}$
166643	Simplify the Radical Expression	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
166644	Simplify	(-3 square root of -63)(9 square root of -7)	$(- 3 \sqrt{- 63}) (9 \sqrt{- 7})$
166645	Simplify	e^(-x)*e^x	$e^{- x} \cdot e^{x}$
166646	Solve for x	2(2+x)-(6-7x)=13x-(1+4x)	$2 (2 + x) - (6 - 7 x) = 13 x - (1 + 4 x)$
166647	Graph	x^2+8x<-12	$x^{2} + 8 x < - 12$
166648	Find the Directrix	-2x^2-4x+y+70=0	$- 2 x^{2} - 4 x + y + 70 = 0$
166649	Simplify	( square root of 36x^6)/( square root of 9x^4)	$\frac{\sqrt{36 x^{6}}}{\sqrt{9 x^{4}}}$
166650	Simplify	-1/(-9i)	$\frac{- 1}{- 9 i}$
166651	Solve for z	-20z+9z+5z+9z-20=4	$- 20 z + 9 z + 5 z + 9 z - 20 = 4$
166652	Solve the Inequality for c	10c+2(8c+10)<c-8-7	$10 c + 2 (8 c + 10) < c - 8 - 7$
166653	Factor	(x-2)^4-(y+3)^4	${(x - 2)}^{4} - {(y + 3)}^{4}$
166654	Solve for R	P=I^2R	$P = I^{2} R$
166655	Simplify	(-2a^2b^4)/(4ab^-8)	$\frac{- 2 a^{2} b^{4}}{4 a b^{- 8}}$
166656	Evaluate	-5/2+1	$- \frac{5}{2} + 1$
166657	Simplify	((2x^2-5x-3)/(x^2+x-20))((x^2+8x+15)/(2x^2+9x+4))	$(\frac{2 x^{2} - 5 x - 3}{x^{2} + x - 20}) (\frac{x^{2} + 8 x + 15}{2 x^{2} + 9 x + 4})$
166658	Find All Complex Solutions	(cot(theta)-1)(2sin(theta)+1)=0	$(\cot (θ) - 1) (2 \sin (θ) + 1) = 0$
166659	Solve for z	square root of -6z+3+z=-4	$\sqrt{- 6 z + 3} + z = - 4$
166660	Solve for x	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
166661	Solve for x	xm=np ; for x	$x m = n p$ ; for $x$
166662	Simplify	-x/x	$- \frac{x}{x}$
166663	Solve the Inequality for h	-6+5(-2h+5)<-h-8-6	$- 6 + 5 (- 2 h + 5) < - h - 8 - 6$
166664	Simplify	(a+b/2)^2	${(a + \frac{b}{2})}^{2}$
166665	Solve the Absolute Value Inequality for s	3=-2\|1/4s-5\|+3	$3 = - 2 \| \frac{1}{4} s - 5 \| + 3$
166666	Find the Exact Value	sin(600 degrees )	$\sin (600 °)$
166667	Rationalize the Denominator	1/(2+ square root of 3)	$\frac{1}{2 + \sqrt{3}}$
166668	Find the Point-Slope Form	y=2x	$y = 2 x$
166669	Find the LCD	-7/(x^2-6x-27) and 3/(x^2-49)	$\frac{- 7}{x^{2} - 6 x - 27}$ and $\frac{3}{x^{2} - 49}$
166670	Solve for x	3(x+10)+6=3(x+12)	$3 (x + 10) + 6 = 3 (x + 12)$
166671	Simplify	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
166672	Find the Exact Value	sin(157.5 degrees )	$\sin (157.5 °)$
166673	Combine Like Terms	5x+3y^3-3+2x-3x+2+2y^3	$5 x + 3 y^{3} - 3 + 2 x - 3 x + 2 + 2 y^{3}$
166674	Find the LCD	(5x)/(x^2-7x-30) and 8/(x^2-5x-24)	$\frac{5 x}{x^{2} - 7 x - 30}$ and $\frac{8}{x^{2} - 5 x - 24}$
166675	Divide	(3/4)÷(7/8)	$\frac{3}{4} \div \frac{7}{8}$
166676	Graph	f(x)=-x-2,x<0; x,0<=x<3; x^2-1,3<=x	$f (x) = {\begin{cases} - x - 2, x < 0 \\ x, 0 \leq x < 3 \\ x^{2} - 1, 3 \leq x \end{cases}$
166677	Solve Using the Quadratic Formula	x-3	$x - 3$
166678	Factor	4m^2n^2-4mn^3	$4 m^{2} n^{2} - 4 m n^{3}$
166679	Solve for k	U=1/2kx^2	$U = \frac{1}{2} k x^{2}$
166680	Graph	f(x)=1/2 cube root of x	$f (x) = \frac{1}{2} \sqrt[3]{x}$
166681	Find the Exact Value	arcsec(-2/( square root of 3))	$arcsec (- \frac{2}{\sqrt{3}})$
166682	Subtract	10--2	$10 - - 2$
166683	Evaluate	(x^5)^2	${(x^{5})}^{2}$
166684	Solve for x	(5^(4x+3))/(25^(9-x))=5^(2x+5)	$\frac{5^{4 x + 3}}{25^{9 - x}} = 5^{2 x + 5}$
166685	Solve for x	x^2+3=4x	$x^{2} + 3 = 4 x$
166686	Write in Standard Form	7x^2-4+6x^3-4x-x^4	$7 x^{2} - 4 + 6 x^{3} - 4 x - x^{4}$
166687	Solve for a	9a-4a-3=12	$9 a - 4 a - 3 = 12$
166688	Solve the Inequality for x	x^2>x+2	$x^{2} > x + 2$
166689	Graph	y<=1/3x+6 and y>3x+2	$y \leq \frac{1}{3} x + 6$ and $y > 3 x + 2$
166690	Simplify	-3x(5x+1)(8-2x)	$- 3 x (5 x + 1) (8 - 2 x)$
166691	Divide	3/41/2	$\frac{3}{4} \cdot \frac{1}{2}$
166692	Simplify	((x+8)/18)÷((2x^2+16x)/(16x))	$\frac{x + 8}{18} \div \frac{2 x^{2} + 16 x}{16 x}$
166693	Find the x and y Intercepts	f(x)=\|3x+1\|-8	$f (x) = \| 3 x + 1 \| - 8$
166694	Solve for x	15=1/2+3/2x+10	$15 = \frac{1}{2} + \frac{3}{2} x + 10$
166695	Solve for v	-12u+3=8v+1	$- 12 u + 3 = 8 v + 1$
166696	Simplify	i(2+3i)(4i-1)	$i (2 + 3 i) (4 i - 1)$
166697	Solve for x	-2\|x+5\|<=-4	$- 2 \| x + 5 \| \leq - 4$
166698	Solve for x	2/3-4x+7/2=-9x+5/6	$\frac{2}{3} - 4 x + \frac{7}{2} = - 9 x + \frac{5}{6}$
166699	Solve the Inequality for x	4-2x<=0	$4 - 2 x \leq 0$
166700	Solve for x	5/6=-2/5x-2/3	$\frac{5}{6} = - \frac{2}{5} x - \frac{2}{3}$