Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
164601	Find All Complex Solutions	sin(x)-2sin(x)cos(x)=0	$\sin (x) - 2 \sin (x) \cos (x) = 0$
164602	Simplify the Radical Expression	cube root of x^6	$\sqrt[3]{x^{6}}$
164603	Solve the System of Equations	y=2x y=x^2-3	$y = 2 x$ $y = x^{2} - 3$
164604	Solve the Inequality for x	x/4+6>=3	$\frac{x}{4} + 6 \geq 3$
164605	Solve for x	9+3/(x+3)=-x/(x+3)	$9 + \frac{3}{x + 3} = - \frac{x}{x + 3}$
164606	Solve for x	4=\|11+3x\|	$4 = \| 11 + 3 x \|$
164607	Graph	y=-1/((x-1)^2)	$y = - \frac{1}{{(x - 1)}^{2}}$
164608	Graph	F(x)=-3/4x+2	$F (x) = - \frac{3}{4} x + 2$
164609	Evaluate	(a-b)^3	${(a - b)}^{3}$
164610	Solve for m	7m-4-9m-36=0	$7 m - 4 - 9 m - 36 = 0$
164611	Solve the Absolute Value Inequality for x	\|x\|>7	$\| x \| > 7$
164612	Graph	x-4y<=4 y<x+1	$x - 4 y \leq 4$ $y < x + 1$
164613	Simplify	(4 square root of 14)/( square root of 12)	$\frac{4 \sqrt{14}}{\sqrt{12}}$
164614	Solve for x	2^(4x-5)*32^(x+1)=2^(6x-7)	$2^{4 x - 5} \cdot 32^{x + 1} = 2^{6 x - 7}$
164615	Solve Using the Quadratic Formula	x^2-y^2	$x^{2} - y^{2}$
164616	Solve for x	square root of x+3=2 square root of x-1	$\sqrt{x + 3} = 2 \sqrt{x - 1}$
164617	Solve the System of Equations	y=4x-9 y=x-3	$y = 4 x - 9$ $y = x - 3$
164618	Solve for x	\|7x+21\|=14x	$\| 7 x + 21 \| = 14 x$
164619	Evaluate	-2.5(4x-3)	$- 2.5 (4 x - 3)$
164620	Simplify	5a+6a^2+2a^0-3a^2-9a	$5 a + 6 a^{2} + 2 a^{0} - 3 a^{2} - 9 a$
164621	Find the x and y Intercepts	f(x)=x/(1+3x)	$f (x) = \frac{x}{1 + 3 x}$
164622	Solve for x	3(x-1)-8=4(1+x)+5	$3 (x - 1) - 8 = 4 (1 + x) + 5$
164623	Solve for x	(6x-2)/4=x-2	$\frac{6 x - 2}{4} = x - 2$
164624	Graph	y>=x^2-2x-3	$y \geq x^{2} - 2 x - 3$
164625	Find the Holes in the Graph	f(x)=(-x+3)/(x-3)	$f (x) = \frac{- x + 3}{x - 3}$
164626	Graph	y=-1/((x-2)^2)	$y = - \frac{1}{{(x - 2)}^{2}}$
164627	Graph	F(x)=3/(x^2)	$F (x) = \frac{3}{x^{2}}$
164628	Solve for a	(x^(5/4))/(x^(1/6))=x^a	$\frac{x^{\frac{5}{4}}}{x^{\frac{1}{6}}} = x^{a}$
164629	Find the Exact Value	cos((7pi)/12)cos((5pi)/12)+sin((7pi)/12)sin((5pi)/12)	$\cos (\frac{7 π}{12}) \cos (\frac{5 π}{12}) + \sin (\frac{7 π}{12}) \sin (\frac{5 π}{12})$
164630	Solve for a	x=(-b+- square root of b^2-4ac)/(2a)	$x = \frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
164631	Solve for x	2(3-x)=16(x+1)	$2 (3 - x) = 16 (x + 1)$
164632	Solve for x	3^(x+2)>=27	$3^{x + 2} \geq 27$
164633	Simplify	( cube root of 5)/( cube root of 4)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4}}$
164634	Graph	3x>=2y+4	$3 x \geq 2 y + 4$
164635	Convert to Polar	y=3	$y = 3$
164636	Solve the System of Equations	y=-5x+3 y=1	$y = - 5 x + 3$ $y = 1$
164637	Graph	y<=-3/4x	$y \leq - \frac{3}{4} x$
164638	Solve for x	x^2+2x-36=2x	$x^{2} + 2 x - 36 = 2 x$
164639	Combine Like Terms	1+4(6p-9)	$1 + 4 (6 p - 9)$
164640	Solve the Absolute Value Inequality for x	\|x\|=0	$\| x \| = 0$
164641	Solve for x	-4(3+x)+5=4(x+3)	$- 4 (3 + x) + 5 = 4 (x + 3)$
164642	Simplify	((4t)^4)/(5t)	$\frac{{(4 t)}^{4}}{5 t}$
164643	Find the Exact Value	-8^2	$- 8^{2}$
164644	Solve for x	-(3x)/(x-6)-1/(x+1)=6/(x^2-5x-6)	$- \frac{3 x}{x - 6} - \frac{1}{x + 1} = \frac{6}{x^{2} - 5 x - 6}$
164645	Evaluate	6^2-7(8+6-3^2)	$6^{2} - 7 (8 + 6 - 3^{2})$
164646	Simplify	(15q)/((3q^3)^2)	$\frac{15 q}{{(3 q^{3})}^{2}}$
164647	Evaluate	cos(pi/6)-sin((3pi)/4)	$\cos (\frac{π}{6}) - \sin (\frac{3 π}{4})$
164648	Solve for a	f=g+1/7ua	$f = g + \frac{1}{7} u a$
164649	Find the x and y Intercepts	f(x)=(3x^2-15x)/(4x^2+4x)	$f (x) = \frac{3 x^{2} - 15 x}{4 x^{2} + 4 x}$
164650	Write in Standard Form	(2x+5)(x-1)=-6	$(2 x + 5) (x - 1) = - 6$
164651	Simplify	(3/5x^2-4/5x+2/5)+(x-2/5x^2+7/5)	$(\frac{3}{5} x^{2} - \frac{4}{5} x + \frac{2}{5}) + (x - \frac{2}{5} x^{2} + \frac{7}{5})$
164652	Solve the System of Inequalities	30>=5x-5>=-25	$30 \geq 5 x - 5 \geq - 25$
164653	Solve the Inequality for h	4-(9h-4)<8h-8+7	$4 - (9 h - 4) < 8 h - 8 + 7$
164654	Write in Standard Form	-1/7x^2-6-4x	$- \frac{1}{7} x^{2} - 6 - 4 x$
164655	Evaluate	log base 6 of 4+2 log base 6 of 3	$\log_{6} (4) + 2 \log_{6} (3)$
164656	Find All Complex Solutions	square root of 3x-1=2x-5	$\sqrt{3 x - 1} = 2 x - 5$
164657	Find the x and y Intercepts	f(x)=-(x+2)(x+1)^2(x-1)	$f (x) = - (x + 2) {(x + 1)}^{2} (x - 1)$
164658	Solve for x	1/(x-1)-1=x/(x-1)	$\frac{1}{x - 1} - 1 = \frac{x}{x - 1}$
164659	Solve for b	4(8b-28)+8=-8(-11b-9)-8	$4 (8 b - 28) + 8 = - 8 (- 11 b - 9) - 8$
164660	Find the Holes in the Graph	f(x)=(-5x+15)/(2x^2-16x+30)	$f (x) = \frac{- 5 x + 15}{2 x^{2} - 16 x + 30}$
164661	Write in Exponential Form	log of 3x-2=x	$\log (3 x - 2) = x$
164662	Solve for x	-5/(x-5)+1=-x/(x-5)	$- \frac{5}{x - 5} + 1 = - \frac{x}{x - 5}$
164663	Simplify	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
164664	Solve for b	g^3+(2d)/b=7	$g^{3} + \frac{2 d}{b} = 7$
164665	Simplify	square root of 2*(- square root of 2)	$\sqrt{2} \cdot (- \sqrt{2})$
164666	Subtract	-6x^2-2x+5 from 2x^2+8	$- 6 x^{2} - 2 x + 5$ from $2 x^{2} + 8$
164667	Solve the Inequality for x	x^2+6x>=-5	$x^{2} + 6 x \geq - 5$
164668	Graph	y=- cube root of 8x+5	$y = - \sqrt[3]{8 x} + 5$
164669	Simplify	3^33^43	$3^{3} \cdot 3^{4} \cdot 3$
164670	Solve for B	-q+1/6tB=m^2	$- q + \frac{1}{6} t B = m^{2}$
164671	Solve for x	4/(3x-2)=6/(2x+1)	$\frac{4}{3 x - 2} = \frac{6}{2 x + 1}$
164672	Factor	a^2+b^2-c^2+2ab	$a^{2} + b^{2} - c^{2} + 2 a b$
164673	Solve the System of Inequalities	1>x-7 or 3<x-7	$1 > x - 7$ or $3 < x - 7$
164674	Solve for F	2g=n+1/5tF	$2 g = n + \frac{1}{5} t F$
164675	Solve the Inequality for x	x^2-36>0	$x^{2} - 36 > 0$
164676	Solve the Inequality for x	x^2<25	$x^{2} < 25$
164677	Simplify	square root of 9x square root of 8x cube root of 8x^3	$\sqrt{9 x \sqrt{8 x \sqrt[3]{8 x^{3}}}}$
164678	Solve for w	5(2+w)-w=10+4(w+1)	$5 (2 + w) - w = 10 + 4 (w + 1)$
164679	Solve the System of Inequalities	35<7(2-b) or 1/3(15b-12)>=21	$35 < 7 (2 - b)$ or $\frac{1}{3} (15 b - 12) \geq 21$
164680	Graph Using a Table of Values	f(x)=1/(x-2)	$f (x) = \frac{1}{x - 2}$
164681	Graph	y>=x^2-4x+3	$y \geq x^{2} - 4 x + 3$
164682	Find the Exact Value	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
164683	Solve for x	20x+12>=14x+30	$20 x + 12 \geq 14 x + 30$
164684	Solve for a	5q=f/a+g	$5 q = \frac{f}{a} + g$
164685	Solve for x	5^(2x+7)=25^(1/3)	$5^{2 x + 7} = 25^{\frac{1}{3}}$
164686	Evaluate the Function	f(x)=3x+2 when x=-4	$f (x) = 3 x + 2$ when $x = - 4$
164687	Graph	f(x)=f(x+2)-1	$f (x) = f (x + 2) - 1$
164688	Solve for z	1/2z+4=5/2z-8	$\frac{1}{2} z + 4 = \frac{5}{2} z - 8$
164689	Write in Standard Form	6x^2+1-1/4x	$6 x^{2} + 1 - \frac{1}{4} x$
164690	Multiply	(7/6a^7b^2)(5a^4b^6)	$(\frac{7}{6} a^{7} b^{2}) (5 a^{4} b^{6})$
164691	Solve the Inequality for g	-9-5(10g-3)<=3g-6+8	$- 9 - 5 (10 g - 3) \leq 3 g - 6 + 8$
164692	Evaluate	2pi+pi	$2 π + π$
164693	Simplify	( square root of 16x^5)(5 square root of 9x^3)	$(\sqrt{16 x^{5}}) (5 \sqrt{9 x^{3}})$
164694	Solve for x	log base 3 of 4x-2 log base 3 of x=2	$\log_{3} (4 x) - 2 \log_{3} (x) = 2$
164695	Solve for x	(410-x)/7+70=120	$\frac{410 - x}{7} + 70 = 120$
164696	Simplify	(x-5)/(x^4-2x^3)*(x^2-4)/(x^2-3x-10)	$\frac{x - 5}{x^{4} - 2 x^{3}} \cdot \frac{x^{2} - 4}{x^{2} - 3 x - 10}$
164697	Solve for F	3N=g/F+m	$3 N = \frac{g}{F} + m$
164698	Find f(g(x))	f(x)=4x and g(x)=x/4	$f (x) = 4 x$ and $g (x) = \frac{x}{4}$
164699	Solve for x	72x^4-74x^2+14=0	$72 x^{4} - 74 x^{2} + 14 = 0$
164700	Evaluate	(x^3)^3	${(x^{3})}^{3}$