Mathway | Popular Problems

Popular Problems

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