Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178601	Solve for w	4w^2-28w=0	$4 w^{2} - 28 w = 0$
178602	Simplify	((x^4y^-3)^2)/(x^3y^5)	$\frac{{(x^{4} y^{- 3})}^{2}}{x^{3} y^{5}}$
178603	Simplify	((x^2+10x+25)/(x-5))÷((x^2-25)/(5x+10))	$\frac{x^{2} + 10 x + 25}{x - 5} \div \frac{x^{2} - 25}{5 x + 10}$
178604	Find the Quotient	(x^4-5x^3+x-4)/(x^2-7x+1)	$\frac{x^{4} - 5 x^{3} + x - 4}{x^{2} - 7 x + 1}$
178605	Solve the System of Equations	x-3y-z=-3 -x+8y-4z=8 2x-15y+7z=-15	$x - 3 y - z = - 3$ $- x + 8 y - 4 z = 8$ $2 x - 15 y + 7 z = - 15$
178606	Simplify	-3a^(x+1)+2a^(x+1)-a^(x+1)+2a^(x+1)	$- 3 a^{x + 1} + 2 a^{x + 1} - a^{x + 1} + 2 a^{x + 1}$
178607	Solve for x	2(x+1)-3(x-2)<x+6	$2 (x + 1) - 3 (x - 2) < x + 6$
178608	Graph	p(x)=1/12(x+4)^2(x-5)^2	$p (x) = \frac{1}{12} {(x + 4)}^{2} {(x - 5)}^{2}$
178609	Graph	y>=3/2x-3 y<=-1/3x+8	$y \geq \frac{3}{2} x - 3$ $y \leq - \frac{1}{3} x + 8$
178610	Factor	x^3+(1/x)^3	$x^{3} + {(\frac{1}{x})}^{3}$
178611	Find the Product	(3x-7)(3x+7)	$(3 x - 7) (3 x + 7)$
178612	Find the Inverse	y=( square root of x)/2	$y = \frac{\sqrt{x}}{2}$
178613	Find the Domain and Range	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
178614	Solve the Inequality for n	(-11+n)/15<-1	$\frac{- 11 + n}{15} < - 1$
178615	Find the Holes in the Graph	f(x)=(-2x^2+8x)/(x^2-6x+8)	$f (x) = \frac{- 2 x^{2} + 8 x}{x^{2} - 6 x + 8}$
178616	Solve for θ	square root of 2cos(theta)^2-cos(theta)=0	$\sqrt{2} \cos^{2} (θ) - \cos (θ) = 0$
178617	Graph	(-6,-6)	$(- 6, - 6)$
178618	Solve for a	-3(1+4a)=33	$- 3 (1 + 4 a) = 33$
178619	Evaluate	3^(1-2)	$3^{1 - 2}$
178620	Solve for x	(x+6)/2+(5-4x)/3-(8-x)/6=0	$\frac{x + 6}{2} + \frac{5 - 4 x}{3} - \frac{8 - x}{6} = 0$
178621	Write in Standard Form	x=8	$x = 8$
178622	Evaluate	f(-x)=3x^2+2x-4	$f (- x) = 3 x^{2} + 2 x - 4$
178623	Find the x and y Intercepts	(x+5)(x+3)=y	$(x + 5) (x + 3) = y$
178624	Graph	y>=2-2x	$y \geq 2 - 2 x$
178625	Solve for x	13-36x^2=-12	$13 - 36 x^{2} = - 12$
178626	Solve for x	2/3+1/x=2/5-3/x	$\frac{2}{3} + \frac{1}{x} = \frac{2}{5} - \frac{3}{x}$
178627	Find the Slope and y-intercept	-4x+7=2y-3	$- 4 x + 7 = 2 y - 3$
178628	Simplify	(8-7i)/(8+i)	$\frac{8 - 7 i}{8 + i}$
178629	Simplify	(9x^2)/(36x^3+27x^2)	$\frac{9 x^{2}}{36 x^{3} + 27 x^{2}}$
178630	Graph	(5,-8)	$(5, - 8)$
178631	Solve for x	f(-3)=4x+5	$f (- 3) = 4 x + 5$
178632	Subtract	-3/2-1/2	$- \frac{3}{2} - \frac{1}{2}$
178633	Evaluate	5(1/5)+1/5(15)	$5 (\frac{1}{5}) + \frac{1}{5} (15)$
178634	Combine Like Terms	-6n+(-12)+4n	$- 6 n + (- 12) + 4 n$
178635	Graph	g(x)=f(x+2)-2	$g (x) = f (x + 2) - 2$
178636	Graph	{x\|x<=1}	${x \| x \leq 1}$
178637	Multiply	(2x^2+5a^2y)(2x^2-5a^2y)	$(2 x^{2} + 5 a^{2} y) (2 x^{2} - 5 a^{2} y)$
178638	Solve for p	-3(4-8p)+6=4(6p-1)-2	$- 3 (4 - 8 p) + 6 = 4 (6 p - 1) - 2$
178639	Solve the Inequality for m	4m-3(m+1)-4<0	$4 m - 3 (m + 1) - 4 < 0$
178640	Solve the Inequality for g	3<=7+g	$3 \leq 7 + g$
178641	Solve for x	5/(3x)-3/(4x)=5/6	$\frac{5}{3 x} - \frac{3}{4 x} = \frac{5}{6}$
178642	Simplify	2 square root of 5+ square root of 45+ square root of 180- square root of 80	$2 \sqrt{5} + \sqrt{45} + \sqrt{180} - \sqrt{80}$
178643	Solve for x	(x+4)/(x-5)=-4/x	$\frac{x + 4}{x - 5} = \frac{- 4}{x}$
178644	Find the Holes in the Graph	f(x)=(2x^2-2)/(x^2+9x)	$f (x) = \frac{2 x^{2} - 2}{x^{2} + 9 x}$
178645	Solve for x	44-2(3x+4)=-18x	$44 - 2 (3 x + 4) = - 18 x$
178646	Solve the Absolute Value Inequality for x	\|x-4\|=9	$\| x - 4 \| = 9$
178647	Solve for a	a=pi*3^2	$a = π \cdot 3^{2}$
178648	Solve the Inequality for x	x+10>=6	$x + 10 \geq 6$
178649	Solve for m	5e^(4m-3)-7=13	$5 e^{4 m - 3} - 7 = 13$
178650	Solve for x	1206=8600(0.96)^(x+1)-1194	$1206 = 8600 {(0.96)}^{x + 1} - 1194$
178651	Factor	2(a^2+1)-b(a^2+1)	$2 (a^{2} + 1) - b (a^{2} + 1)$
178652	Solve the Inequality for x	(x-3)(x+2)>0	$(x - 3) (x + 2) > 0$
178653	Find the Exact Value	cos(60 degrees )+tan(60 degrees )	$\cos (60 °) + \tan (60 °)$
178654	Solve the System of Equations	x-y=11 -x+y=-11	$x - y = 11$ $- x + y = - 11$
178655	Write in Standard Form	-11+4x^2=-7x-2	$- 11 + 4 x^{2} = - 7 x - 2$
178656	Simplify	8x-3(2x+5)+x+4	$8 x - 3 (2 x + 5) + x + 4$
178657	Solve the Inequality for x	5-4x>3x-9	$5 - 4 x > 3 x - 9$
178658	Graph	y=(1/4x)^3	$y = {(\frac{1}{4} x)}^{3}$
178659	Evaluate	(-3.6)(4 1/3)	$(- 3.6) (4 \frac{1}{3})$
178660	Solve for b	18<=3(b-4)	$18 \leq 3 (b - 4)$
178661	Graph	y<=5-x	$y \leq 5 - x$
178662	Factor	15a-12b-5ap+4bp	$15 a - 12 b - 5 a p + 4 b p$
178663	Factor	2(x+y)^2+(x+y)-3	$2 {(x + y)}^{2} + (x + y) - 3$
178664	Find the x and y Intercepts	f(x) = cube root of x+1	$f (x) = \sqrt[3]{x + 1}$
178665	Find the Exact Value	square root of 2+ square root of 2	$\sqrt{2} + \sqrt{2}$
178666	Solve the Inequality for x	3x-5<4	$3 x - 5 < 4$
178667	Solve the Inequality for x	x-4>4(x-1)	$x - 4 > 4 (x - 1)$
178668	Solve the Inequality for x	(x-2)/(2x-3)<=0	$\frac{x - 2}{2 x - 3} \leq 0$
178669	Solve for x	12x=4(x+5)	$12 x = 4 (x + 5)$
178670	Find the Exact Value	cos(60 degrees )^2	$\cos^{2} (60 °)$
178671	Simplify	x/(x-3)+(2x+2)/(x^2-2x-3)	$\frac{x}{x - 3} + \frac{2 x + 2}{x^{2} - 2 x - 3}$
178672	Find the Function	f(x)=2/x	$f (x) = \frac{2}{x}$
178673	Divide	((6a+27)/(18a^2+36a))÷((16a+72)/(2a+4))	$\frac{6 a + 27}{18 a^{2} + 36 a} \div \frac{16 a + 72}{2 a + 4}$
178674	Simplify	5(mn-3)+10(mn-8)	$5 (m n - 3) + 10 (m n - 8)$
178675	Solve for x	6(x+1)-9=4(x-1)+2x	$6 (x + 1) - 9 = 4 (x - 1) + 2 x$
178676	Solve for c	p(x)=x^3-4x^2+cx+33	$p (x) = x^{3} - 4 x^{2} + c x + 33$
178677	Find the Holes in the Graph	f(x)=(2x^2-8x)/(x^2-6x+8)	$f (x) = \frac{2 x^{2} - 8 x}{x^{2} - 6 x + 8}$
178678	Simplify	(40y^2)/(5xy)	$\frac{40 y^{2}}{5 x y}$
178679	Solve for x	3+x=2-3x	$3 + x = 2 - 3 x$
178680	Simplify	(3x^2)/(2x^2)	$\frac{3 x^{2}}{2 x^{2}}$
178681	Solve for x	2^(x-1)>32	$2^{x - 1} > 32$
178682	Solve for x	5-3x=3-5x-(8-2x)	$5 - 3 x = 3 - 5 x - (8 - 2 x)$
178683	Solve the Inequality for x	log base 2 of 3x+5> = log base 2 of x-9	$\log_{2} (3 x + 5) \geq \log_{2} (x - 9)$
178684	Graph	f(x)=2[[x]]	$f (x) = 2 [\begin{array}{c} x \end{array}]$
178685	Evaluate the Function	f(2)=-4	$f (2) = - 4$
178686	Solve Using the Quadratic Formula	72=(8x+3)(8x-3)	$72 = (8 x + 3) (8 x - 3)$
178687	Evaluate	-2/(2(-1))	$- \frac{2}{2 (- 1)}$
178688	Write in Standard Form	square root of -8( square root of -3- square root of 5)	$\sqrt{- 8} (\sqrt{- 3} - \sqrt{5})$
178689	Solve for x	x^2=6^2+8^2	$x^{2} = 6^{2} + 8^{2}$
178690	Solve the Inequality for m	3\|14-m\|>18	$3 \| 14 - m \| > 18$
178691	Solve the Inequality for x	4(1-x)<16	$4 (1 - x) < 16$
178692	Simplify	x^2 square root of 36x^4y^7	$x^{2} \sqrt{36 x^{4} y^{7}}$
178693	Find the Product	-3+4/5e=-2+3/2e+1/10e	$- 3 + \frac{4}{5} e = - 2 + \frac{3}{2} e + \frac{1}{10} e$
178694	Solve for x	4(3+x)+x=x+4	$4 (3 + x) + x = x + 4$
178695	Solve for x	3(5x+5)^2-47=10	$3 {(5 x + 5)}^{2} - 47 = 10$
178696	Solve for x	\|x\|+3=0	$\| x \| + 3 = 0$
178697	Simplify	e^(2x)*e^x	$e^{2 x} \cdot e^{x}$
178698	Expand the Logarithmic Expression	log of (z^5x)/( square root of y^3)	$\log (\frac{z^{5} x}{\sqrt{y^{3}}})$
178699	Solve for x	5x+9=9(x+1)-4x	$5 x + 9 = 9 (x + 1) - 4 x$
178700	Find the Exact Value	2^2+2^2	$2^{2} + 2^{2}$