Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167601	Find the Holes in the Graph	f(x)=(3x)/(4x-17)	$f (x) = \frac{3 x}{4 x - 17}$
167602	Simplify	4/9(2n-3)	$\frac{4}{9} (2 n - 3)$
167603	Find the Roots (Zeros)	P(x)=x^3+x^2+9x+9	$P (x) = x^{3} + x^{2} + 9 x + 9$
167604	Evaluate Using the Given Value	3/7r+5/8s when r=14 and s=8	$\frac{3}{7} r + \frac{5}{8} s$ when $r = 14$ and $s = 8$
167605	Find the Holes in the Graph	f(x)=(-3x-15)/(5x+5)	$f (x) = \frac{- 3 x - 15}{5 x + 5}$
167606	Solve for w	1/4w+2=w-1/4	$\frac{1}{4} w + 2 = w - \frac{1}{4}$
167607	Solve for a	2(a-4)=4a-(2a+4)	$2 (a - 4) = 4 a - (2 a + 4)$
167608	Find All Complex Solutions	csc(x)^2-4=0	$\csc^{2} (x) - 4 = 0$
167609	Evaluate	(256x^16)^(1/4)	${(256 x^{16})}^{\frac{1}{4}}$
167610	Solve for y	3/4y=-4+2-3/2y+5+9/2y	$\frac{3}{4} y = - 4 + 2 - \frac{3}{2} y + 5 + \frac{9}{2} y$
167611	Solve for x	2x^4-4x^3=-2x^2	$2 x^{4} - 4 x^{3} = - 2 x^{2}$
167612	Find All Complex Solutions	4cos(x)^2=5+4sin(x)	$4 \cos^{2} (x) = 5 + 4 \sin (x)$
167613	Solve the System of Equations	y=-x-1 y=x+3	$y = - x - 1$ $y = x + 3$
167614	Find the Product	(4x-1)^2	${(4 x - 1)}^{2}$
167615	Solve the Inequality for x	(x-4)(x+2)<0	$(x - 4) (x + 2) < 0$
167616	Solve the Inequality for x	5x-12<=3x-4	$5 x - 12 \leq 3 x - 4$
167617	Solve the System of Equations	y=x^2-4 y=-x-2	$y = x^{2} - 4$ $y = - x - 2$
167618	Solve for b	7=-11+3(b+5)	$7 = - 11 + 3 (b + 5)$
167619	Solve the System of Equations	y=5x+2 4x-y=0	$y = 5 x + 2$ $4 x - y = 0$
167620	Solve for θ	2sin(theta)^2+sin(theta)=0	$2 \sin^{2} (θ) + \sin (θ) = 0$
167621	Solve for x	3x+y=z	$3 x + y = z$
167622	Graph	x^2-10x>=-24	$x^{2} - 10 x \geq - 24$
167623	Solve for x	6x-11-13x<7-5x	$6 x - 11 - 13 x < 7 - 5 x$
167624	Solve for x	2-5\|5x-5\|=-73	$2 - 5 \| 5 x - 5 \| = - 73$
167625	Find the x and y Intercepts	f(x)=(2x^2-98)/(x+4)	$f (x) = \frac{2 x^{2} - 98}{x + 4}$
167626	Solve the Inequality for x	8<x(7-x)	$8 < x (7 - x)$
167627	Solve the Inequality for x	(3x+4)/(x-4)<=x-1	$\frac{3 x + 4}{x - 4} \leq x - 1$
167628	Multiply	-1*(-1/2)	$- 1 \cdot (- \frac{1}{2})$
167629	Solve the Inequality for x	54-10x<=20+7x	$54 - 10 x \leq 20 + 7 x$
167630	Solve for x	(1/4)^(x+1)=32	${(\frac{1}{4})}^{x + 1} = 32$
167631	Graph	y=1/3(x+3)(x-3)	$y = \frac{1}{3} (x + 3) (x - 3)$
167632	Factor	27x^4yz^4-3x^7z^6	$27 x^{4} y z^{4} - 3 x^{7} z^{6}$
167633	Solve for x	x^6-8=7x^3	$x^{6} - 8 = 7 x^{3}$
167634	Simplify	(5x^2y^-5)/(10x^6y^10)	$\frac{5 x^{2} y^{- 5}}{10 x^{6} y^{10}}$
167635	Simplify	(3a)/(12b^2)-(a-4b)/(12b^2)	$\frac{3 a}{12 b^{2}} - \frac{a - 4 b}{12 b^{2}}$
167636	Find All Complex Solutions	4cos(x)^2=5-4sin(x)	$4 \cos^{2} (x) = 5 - 4 \sin (x)$
167637	Find the Function	f(x)=x^5	$f (x) = x^{5}$
167638	Solve the Inequality for x	(x^2-1)/(x^2+5x+4)<=0	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \leq 0$
167639	Solve Using the Quadratic Formula	x^4-16	$x^{4} - 16$
167640	Divide	(2x^2)÷2x	$2 x^{2} \div 2 x$
167641	Combine Like Terms	2y^2-5+1+2y^2-6y^2-3-4y	$2 y^{2} - 5 + 1 + 2 y^{2} - 6 y^{2} - 3 - 4 y$
167642	Simplify	(3 square root of 10)(5 square root of -7)	$(3 \sqrt{10}) (5 \sqrt{- 7})$
167643	Evaluate	2/9+(-1/2)	$\frac{2}{9} + (- \frac{1}{2})$
167644	Factor	-46x^3yz^4-29z	$- 46 x^{3} y z^{4} - 29 z$
167645	Solve for x	2/3+11/12x=1/3	$\frac{2}{3} + \frac{11}{12} x = \frac{1}{3}$
167646	Solve for x	\|x+5\|>=7	$\| x + 5 \| \geq 7$
167647	Simplify	(3(k^5)^2)/(-4k^-4)	$\frac{3 {(k^{5})}^{2}}{- 4 k^{- 4}}$
167648	Solve for x	0=e^x	$0 = e^{x}$
167649	Solve the System of Equations	y=-x^2+2 and y=x^2	$y = - x^{2} + 2$ and $y = x^{2}$
167650	Solve for y	11y-5y+6=-24-9y	$11 y - 5 y + 6 = - 24 - 9 y$
167651	Solve for x	7x-22=-1/3(9x+6)	$7 x - 22 = - \frac{1}{3} (9 x + 6)$
167652	Simplify	(-3/4b^2)(-6a^2b^5)	$(- \frac{3}{4} b^{2}) (- 6 a^{2} b^{5})$
167653	Solve the Inequality for n	7-3n<=n+3	$7 - 3 n \leq n + 3$
167654	Solve for x	-3-6/(x-6)=x/(x-6)	$- 3 - \frac{6}{x - 6} = \frac{x}{x - 6}$
167655	Solve for q	3/2-5/4q+2/3q-5/6=-q	$\frac{3}{2} - \frac{5}{4} q + \frac{2}{3} q - \frac{5}{6} = - q$
167656	Solve for c	x^2+3x+c=7/4+c	$x^{2} + 3 x + c = \frac{7}{4} + c$
167657	Evaluate	f^-1(9)	$f^{- 1} (9)$
167658	Solve the Absolute Value Inequality for x	\|4x-9\|=5x	$\| 4 x - 9 \| = 5 x$
167659	Combine Like Terms	6y^3-7x^2+4+4x^2-1-5y^3+x^2	$6 y^{3} - 7 x^{2} + 4 + 4 x^{2} - 1 - 5 y^{3} + x^{2}$
167660	Solve for x	-9+(6x)/(x-4)=-6/(x-4)	$- 9 + \frac{6 x}{x - 4} = - \frac{6}{x - 4}$
167661	Solve for x	(2x)/5+5x=4/3	$\frac{2 x}{5} + 5 x = \frac{4}{3}$
167662	Write in Standard Form	2x^2+x-20=-2x^2	$2 x^{2} + x - 20 = - 2 x^{2}$
167663	Solve for x	256^-2=16^(3x-1)	$256^{- 2} = 16^{3 x - 1}$
167664	Solve the Inequality for x	(x+1)(x+5)>0	$(x + 1) (x + 5) > 0$
167665	Solve for x	-2+1/(x+5)=x/(x+5)	$- 2 + \frac{1}{x + 5} = \frac{x}{x + 5}$
167666	Expand the Logarithmic Expression	log of ( square root of x^5)/((x+6)^3)	$\log (\frac{\sqrt{x^{5}}}{{(x + 6)}^{3}})$
167667	Factor	v^5+7v^4-4v^3-28v^2	$v^{5} + 7 v^{4} - 4 v^{3} - 28 v^{2}$
167668	Solve for x	(4x+1)/3=(x-5)/2	$\frac{4 x + 1}{3} = \frac{x - 5}{2}$
167669	Solve for x	2x-2(4x-3)=6-6x	$2 x - 2 (4 x - 3) = 6 - 6 x$
167670	Write in Standard Form	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
167671	Find the x and y Intercepts	f(x)=(x^2+5x)/(-2x^2+7x)	$f (x) = \frac{x^{2} + 5 x}{- 2 x^{2} + 7 x}$
167672	Solve for x	4^x+2^(1+2x)=50	$4^{x} + 2^{1 + 2 x} = 50$
167673	Solve for x	ax-b=c+d	$a x - b = c + d$
167674	Solve for x	8=x square root of 2	$8 = x \sqrt{2}$
167675	Find All Complex Solutions	-2z+10+7z=16z+7	$- 2 z + 10 + 7 z = 16 z + 7$
167676	Determine if True	(sin(theta)^2)/(1-cos(theta))=1+cos(theta)	$\frac{\sin^{2} (θ)}{1 - \cos (θ)} = 1 + \cos (θ)$
167677	Simplify	-2/3c-9/5+14c+3/10	$- \frac{2}{3} c - \frac{9}{5} + 14 c + \frac{3}{10}$
167678	Solve for t	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
167679	Find the Inverse	f(x) = fifth root of (x-1)/2	$f (x) = \sqrt[5]{\frac{x - 1}{2}}$
167680	Combine Like Terms	-y^2+4x^2-y-7y^2+3y^2-4x^2-2x^2	$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$
167681	Solve for m	-7m+5=m-3	$- 7 m + 5 = m - 3$
167682	Solve for v	a=v/t	$a = \frac{v}{t}$
167683	Simplify	((2hj^2k^-2*h^4j^-1k^4)^0)/(2h^-3j^-4k^-2)	$\frac{{(2 h j^{2} k^{- 2} \cdot h^{4} j^{- 1} k^{4})}^{0}}{2 h^{- 3} j^{- 4} k^{- 2}}$
167684	Find the Product	(5r-4)(r^2-6r+4)	$(5 r - 4) (r^{2} - 6 r + 4)$
167685	Solve the Inequality for x	2x-(3-x)>x+1	$2 x - (3 - x) > x + 1$
167686	Solve Using the Quadratic Formula	p^2-5p+17=4p	$p^{2} - 5 p + 17 = 4 p$
167687	Graph Using a Table of Values	f(x) = cube root of x-3	$f (x) = \sqrt[3]{x - 3}$
167688	Simplify	-4/3(3q-10)	$- \frac{4}{3} (3 q - 10)$
167689	Graph Using a Table of Values	f(x)=4x-1	$f (x) = 4 x - 1$
167690	Graph	g(X)=f(X+5)	$g (X) = f (X + 5)$
167691	Solve the Absolute Value Inequality for x	\|2x-5\|=7	$\| 2 x - 5 \| = 7$
167692	Factor	(x^2-3x+2)	$(x^{2} - 3 x + 2)$
167693	Solve for f	-3/2f-3+1/3f=4+2f-5/6f	$- \frac{3}{2} f - 3 + \frac{1}{3} f = 4 + 2 f - \frac{5}{6} f$
167694	Find the Function	f(x)=ax+b	$f (x) = a x + b$
167695	Solve for x	\|5x+6\|+6=x	$\| 5 x + 6 \| + 6 = x$
167696	Evaluate Using the Given Value	7j+5-8k when j=0.5 and k=0.25	$7 j + 5 - 8 k$ when $j = 0.5$ and $k = 0.25$
167697	Evaluate	-6/5-2/3v+4/15+1/3v	$- \frac{6}{5} - \frac{2}{3} v + \frac{4}{15} + \frac{1}{3} v$
167698	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2+5x-7=0	$2 x^{2} + 5 x - 7 = 0$
167699	Solve for a	d=vt+1/2at^2	$d = v t + \frac{1}{2} a t^{2}$
167700	Evaluate	x^3=27	$x^{3} = 27$