Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174601	Simplify	(4- square root of 3)/( square root of 5)	$\frac{4 - \sqrt{3}}{\sqrt{5}}$
174602	Simplify	(4x^2)/(2x-1)-1/(2x-1)	$\frac{4 x^{2}}{2 x - 1} - \frac{1}{2 x - 1}$
174603	Solve for r	rt=w	$r t = w$
174604	Simplify	1/4(c^3+d^2)	$\frac{1}{4} (c^{3} + d^{2})$
174605	Simplify	(x+2)-(x-2)-12x	$(x + 2) - (x - 2) - 12 x$
174606	Simplify	8y^2 square root of 12x^7y^5	$8 y^{2} \sqrt{12 x^{7} y^{5}}$
174607	Solve for y	12-8+y-3=21+4	$12 - 8 + y - 3 = 21 + 4$
174608	Solve the System of Inequalities	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
174609	Graph	(x-1)/(1-x)<0	$\frac{x - 1}{1 - x} < 0$
174610	Evaluate	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
174611	Simplify	1/8(16m-8)-17	$\frac{1}{8} (16 m - 8) - 17$
174612	Evaluate	square root of (1+(-3/5))/2	$\sqrt{\frac{1 + (- \frac{3}{5})}{2}}$
174613	Write the Fraction in Simplest Form	(4a-1)/(1-4a)	$\frac{4 a - 1}{1 - 4 a}$
174614	Write in Standard Form	4+ square root of -9	$4 + \sqrt{- 9}$
174615	Simplify	(x^5y^2z^8)/((xy)^-3)	$\frac{x^{5} y^{2} z^{8}}{{(x y)}^{- 3}}$
174616	Evaluate	sin(x)=-1/2	$\sin (x) = - \frac{1}{2}$
174617	Solve for r	\|5-5r\|+1<36	$\| 5 - 5 r \| + 1 < 36$
174618	Simplify	-4(3e+4)	$- 4 (3 e + 4)$
174619	Find All Complex Solutions	2cos(2x)+2cos(x)=0	$2 \cos (2 x) + 2 \cos (x) = 0$
174620	Convert to a Decimal	-60deg	$- 60$ degrees
174621	Solve for x	square root of x+12 = square root of x+2	$\sqrt{x + 12} = \sqrt{x} + 2$
174622	Find the Discriminant	9x^2-3n+2=0	$9 x^{2} - 3 n + 2 = 0$
174623	Write in Standard Form	-4x^2=8x-3	$- 4 x^{2} = 8 x - 3$
174624	Combine Like Terms	(3-8w^2)^2	${(3 - 8 w^{2})}^{2}$
174625	Solve for x	x-3x=14-4x	$x - 3 x = 14 - 4 x$
174626	Solve the System of Equations	y=x-10 y=x^2-2x-3	$y = x - 10$ $y = x^{2} - 2 x - 3$
174627	Solve for y	y=(1/2)^2	$y = {(\frac{1}{2})}^{2}$
174628	Solve for x	(3x)/(x^2-4)+1/(x-2)=2/(x+2)	$\frac{3 x}{x^{2} - 4} + \frac{1}{x - 2} = \frac{2}{x + 2}$
174629	Find f(g(x))	f(x)=(x-1)/2 g(x)=2x+1	$f (x) = \frac{x - 1}{2}$ $g (x) = 2 x + 1$
174630	Simplify	square root of 25-10 square root of 3+3	$\sqrt{25 - 10 \sqrt{3} + 3}$
174631	Subtract	3/(48m^6n^6)-7/(8m^2n^5)	$\frac{3}{48 m^{6} n^{6}} - \frac{7}{8 m^{2} n^{5}}$
174632	Solve the Rational Equation for x	7/(3x)+4/(6x^2)=5/(8x)-2/(3x^2)	$\frac{7}{3 x} + \frac{4}{6 x^{2}} = \frac{5}{8 x} - \frac{2}{3 x^{2}}$
174633	Solve the Inequality for x	(x+6)/(x+1)<2	$\frac{x + 6}{x + 1} < 2$
174634	Simplify	cube root of (16y^4)/(x^6)	$\sqrt[3]{\frac{16 y^{4}}{x^{6}}}$
174635	Solve for y	(by+2)/3=c	$\frac{b y + 2}{3} = c$
174636	Solve by Substitution	2x=12 x-5y=-29	$2 x = 12$ $x - 5 y = - 29$
174637	Solve for b	4/5b+2=1/2(2/5-b)	$\frac{4}{5} b + 2 = \frac{1}{2} (\frac{2}{5} - b)$
174638	Solve for v	k=npv ; for v	$k = n p v$ ; for $v$
174639	Graph	y = cube root of 8x-64-5	$y = \sqrt[3]{8 x - 64} - 5$
174640	Graph	f(x)=2x if x<0; -2x if x>=0	$f (x) = {\begin{cases} 2 x & x < 0 \\ - 2 x & x \geq 0 \end{cases}$
174641	Find the Perfect Square Trinomial	x^2-y^2	$x^{2} - y^{2}$
174642	Solve for x	(2x^2)/4-x/6=3/2	$\frac{2 x^{2}}{4} - \frac{x}{6} = \frac{3}{2}$
174643	Simplify	5x^2y square root of 8x^7y^6	$5 x^{2} y \sqrt{8 x^{7} y^{6}}$
174644	Solve for x	(3(1+x))/(4x)=1-1/x	$\frac{3 (1 + x)}{4 x} = 1 - \frac{1}{x}$
174645	Solve for p	3/2p=3(1/2p-4)+3p	$\frac{3}{2} p = 3 (\frac{1}{2} p - 4) + 3 p$
174646	Solve for x	x-9=-18/x	$x - 9 = - \frac{18}{x}$
174647	Simplify the Radical Expression	( fifth root of x)^(5/6)* square root of x	${(\sqrt[5]{x})}^{\frac{5}{6}} \cdot \sqrt{x}$
174648	Graph	y>x-4 y<=-3x-8	$y > x - 4$ $y \leq - 3 x - 8$
174649	Multiply	square root of 3*(- square root of 3)	$\sqrt{3} \cdot (- \sqrt{3})$
174650	Graph	2x+\|y\|=0	$2 x + \| y \| = 0$
174651	Solve for x	log base 4 of 4x+2 log base 4 of 4=0	$\log_{4} (4 x) + 2 \log_{4} (4) = 0$
174652	Divide	3÷1 1/2	$3 \div 1 \frac{1}{2}$
174653	Solve the System of Equations	y=3x+6 y=(x+4)^2-10	$y = 3 x + 6$ $y = {(x + 4)}^{2} - 10$
174654	Solve for b	c=1/2ab^2	$c = \frac{1}{2} a b^{2}$
174655	Find the Roots (Zeros)	F(x)=(x(x-2))/((x+3)(x-5))	$F (x) = \frac{x (x - 2)}{(x + 3) (x - 5)}$
174656	Solve the Inequality for n	2(n-3)<=-13+2n	$2 (n - 3) \leq - 13 + 2 n$
174657	Solve for V	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
174658	Solve the Inequality for n	8>=n-6	$8 \geq n - 6$
174659	Simplify	7/(x+2)-4/(3x+6)	$\frac{7}{x + 2} - \frac{4}{3 x + 6}$
174660	Evaluate	2sec(pi/4)^2tan(pi/4)	$2 \sec^{2} (\frac{π}{4}) \tan (\frac{π}{4})$
174661	Solve for θ	square root of 2cos(theta)^2+cos(theta)=0	$\sqrt{2} \cos^{2} (θ) + \cos (θ) = 0$
174662	Solve for x	square root of 3x-6=6	$\sqrt{3 x} - 6 = 6$
174663	Solve the Inequality for x	3\|1/2x+2\|>6	$3 \| \frac{1}{2} x + 2 \| > 6$
174664	Factor	x^3+2x^2+2x+1	$x^{3} + 2 x^{2} + 2 x + 1$
174665	Solve the System of Equations	y=-1/3x+4 y=2/3x+1	$y = - \frac{1}{3} x + 4$ $y = \frac{2}{3} x + 1$
174666	Solve the System of Inequalities	-5x+3<=-47 or -5x+3<-57	$- 5 x + 3 \leq - 47$ or $- 5 x + 3 < - 57$
174667	Solve the Inequality for q	18(q-3/4)<=-2(q+7/4)	$18 (q - \frac{3}{4}) \leq - 2 (q + \frac{7}{4})$
174668	Graph	sin(theta)<0 and cos(theta)>0	$\sin (θ) < 0$ and $\cos (θ) > 0$
174669	Solve the System of Inequalities	6b<42 or 4b+12>8	$6 b < 42$ or $4 b + 12 > 8$
174670	Multiply	(-5x+5)*(-3x^2+2x+3)	$(- 5 x + 5) \cdot (- 3 x^{2} + 2 x + 3)$
174671	Simplify	(5ab)^(3/2)	${(5 a b)}^{\frac{3}{2}}$
174672	Simplify	((5n^2(m^2+2m-3))/(10n(m^2-3m+2)))÷((n^2(m^2-3m-18))/(4n^2(m^2-8m+12)))	$\frac{5 n^{2} (m^{2} + 2 m - 3)}{10 n (m^{2} - 3 m + 2)} \div \frac{n^{2} (m^{2} - 3 m - 18)}{4 n^{2} (m^{2} - 8 m + 12)}$
174673	Solve by Substitution	x=-7y x+8y=1	$x = - 7 y$ $x + 8 y = 1$
174674	Graph	\|x^3\|	$\| x^{3} \|$
174675	Solve for m	(2m)/4-8=2	$\frac{2 m}{4} - 8 = 2$
174676	Solve for x	9-10x=2x+1-8x	$9 - 10 x = 2 x + 1 - 8 x$
174677	Simplify	square root of 6* square root of 6* square root of 6	$\sqrt{6} \cdot \sqrt{6} \cdot \sqrt{6}$
174678	Solve the Inequality for x	(x+5)/(x+4)<0	$\frac{x + 5}{x + 4} < 0$
174679	Solve for x	-21=15-2x^2	$- 21 = 15 - 2 x^{2}$
174680	Solve the Inequality for a	a-15>-4(-6+3a)	$a - 15 > - 4 (- 6 + 3 a)$
174681	Solve the Inequality for x	4-x/7<=5	$4 - \frac{x}{7} \leq 5$
174682	Factor	4x(2x-1)+(2x-1)^2	$4 x (2 x - 1) + {(2 x - 1)}^{2}$
174683	Solve the Inequality for x	x^3>=5x^2	$x^{3} \geq 5 x^{2}$
174684	Graph	5x^2=100y	$5 x^{2} = 100 y$
174685	Solve for x	-4=-6+ square root of 2x	$- 4 = - 6 + \sqrt{2 x}$
174686	Evaluate	\|2x-3\|=5	$\| 2 x - 3 \| = 5$
174687	Solve for x	(3x-1)/(x+3)+3=(4x)/(x-3)	$\frac{3 x - 1}{x + 3} + 3 = \frac{4 x}{x - 3}$
174688	Write in Standard Form	15-8x+3x^2=x^2+4	$15 - 8 x + 3 x^{2} = x^{2} + 4$
174689	Factor	5a^2-15ab-10ac	$5 a^{2} - 15 a b - 10 a c$
174690	Find All Complex Solutions	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
174691	Simplify	((x^2y^3)^4(xy^4)^-3)/(x^2y)	$\frac{{(x^{2} y^{3})}^{4} {(x y^{4})}^{- 3}}{x^{2} y}$
174692	Simplify	(b^2)/(6a^2)-1/(3a^3)+(3b)/(8a)	$\frac{b^{2}}{6 a^{2}} - \frac{1}{3 a^{3}} + \frac{3 b}{8 a}$
174693	Solve for s	square root of s+7=6+4 square root of s	$\sqrt{s} + 7 = 6 + 4 \sqrt{s}$
174694	Find the Holes in the Graph	f(x)=x/(x+4)	$f (x) = \frac{x}{x + 4}$
174695	Solve the Inequality for x	0>=6x-6x	$0 \geq 6 x - 6 x$
174696	Graph	y<=1/3x-4/3	$y \leq \frac{1}{3} x - \frac{4}{3}$
174697	Expand the Logarithmic Expression	log of (y^5)/(z^2 square root of x^3)	$\log (\frac{y^{5}}{z^{2} \sqrt{x^{3}}})$
174698	Solve the Inequality for x	48<=8x	$48 \leq 8 x$
174699	Solve for n	(2n)/3=(n+14)/5	$\frac{2 n}{3} = \frac{n + 14}{5}$
174700	Solve the System of Inequalities	6<x+5<=11	$6 < x + 5 \leq 11$