Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174401	Multiply	(2x^2-8x)/(x-4)*(x+2)/(8x)	$\frac{2 x^{2} - 8 x}{x - 4} \cdot \frac{x + 2}{8 x}$
174402	Find the Roots (Zeros)	p(x)=(2x-1)(x+3)(x+1)(x-2)	$p (x) = (2 x - 1) (x + 3) (x + 1) (x - 2)$
174403	Graph	2x-3y<=12 y<-3	$2 x - 3 y \leq 12$ $y < - 3$
174404	Find the x and y Intercepts	R(x)=5/(x^2-36)	$R (x) = \frac{5}{x^{2} - 36}$
174405	Graph Using a Table of Values	y=3^x+2	$y = 3^{x} + 2$
174406	Solve for x	1/2x^2-x+5=0	$\frac{1}{2} x^{2} - x + 5 = 0$
174407	Graph	y<-2x-6 y<=x+3	$y < - 2 x - 6$ $y \leq x + 3$
174408	Solve for x	2 natural log of 3 = natural log of x-4	$2 \ln (3) = \ln (x - 4)$
174409	Solve for x	1/2\|3-x\|+11=4	$\frac{1}{2} \| 3 - x \| + 11 = 4$
174410	Solve for h	14/5(10h+25)=-6h+30-2h	$\frac{14}{5} (10 h + 25) = - 6 h + 30 - 2 h$
174411	Solve for x	5x+x/2=11	$5 x + \frac{x}{2} = 11$
174412	Solve for m	v^2=(3P)/(mn)	$v^{2} = \frac{3 P}{m n}$
174413	Find the Domain and Range	f(x)=(1/3)^(-x+1)	$f (x) = {(\frac{1}{3})}^{- x + 1}$
174414	Solve for n	-3=-6+n-3	$- 3 = - 6 + n - 3$
174415	Solve for m	(-11/6)+m=-2/9	$(- \frac{11}{6}) + m = - \frac{2}{9}$
174416	Multiply	(2 square root of x+3)(2 square root of x-3)	$(2 \sqrt{x} + 3) (2 \sqrt{x} - 3)$
174417	Solve for x	x/2+x/3=(5x+2)/6	$\frac{x}{2} + \frac{x}{3} = \frac{5 x + 2}{6}$
174418	Solve for w	1/2w+7=2w-2	$\frac{1}{2} w + 7 = 2 w - 2$
174419	Graph	y>=x^2-9	$y \geq x^{2} - 9$
174420	Solve for x	4/(3x)+7/x=5/9	$\frac{4}{3 x} + \frac{7}{x} = \frac{5}{9}$
174421	Simplify	16 cube root of 2+24 square root of 3+14 cube root of 2+4 square root of 3	$16 \sqrt[3]{2} + 24 \sqrt{3} + 14 \sqrt[3]{2} + 4 \sqrt{3}$
174422	Evaluate	2^1-1	$2^{1} - 1$
174423	Solve for t	3t-t+9t+18t=87	$3 t - t + 9 t + 18 t = 87$
174424	Simplify	(3y)/(2x^3)+(5z)/(8xy^2)	$\frac{3 y}{2 x^{3}} + \frac{5 z}{8 x y^{2}}$
174425	Write in Standard Form	-3x(4x-2)	$- 3 x (4 x - 2)$
174426	Simplify	square root of 3x^2 cube root of 6x^3 fourth root of 4x^2	$\sqrt{3 x^{2}} \sqrt[3]{6 x^{3}} \sqrt[4]{4 x^{2}}$
174427	Evaluate	(1-3/4)/2+1/2	$\frac{1 - \frac{3}{4}}{2} + \frac{1}{2}$
174428	Evaluate	\|pi\|	$\| π \|$
174429	Solve for d	5/6d+3=1/2(1-2/3d)	$\frac{5}{6} d + 3 = \frac{1}{2} (1 - \frac{2}{3} d)$
174430	Evaluate	(f-g)(-1)	$(f - g) (- 1)$
174431	Solve the System of Inequalities	-34>-3x-7 and -3x-7<-40	$- 34 > - 3 x - 7$ and $- 3 x - 7 < - 40$
174432	Solve for x	(4y-5)+(-x-3)i=7-8i	$(4 y - 5) + (- x - 3) i = 7 - 8 i$
174433	Solve for x	x^3-4x=20-5x^2	$x^{3} - 4 x = 20 - 5 x^{2}$
174434	Evaluate	pi/3-pi/2	$\frac{π}{3} - \frac{π}{2}$
174435	Solve the Inequality for y	36<3y	$36 < 3 y$
174436	Solve for x	t(x)=3x , t(x)=24	$t (x) = 3 x$ , $t (x) = 24$
174437	Find the Discriminant	x^2-9x+18=2x^2+3x-1	$x^{2} - 9 x + 18 = 2 x^{2} + 3 x - 1$
174438	Find the Domain and Range	f(x)=5+ square root of 4-x	$f (x) = 5 + \sqrt{4 - x}$
174439	Solve for p	t=(a-p)/(pr)	$t = \frac{a - p}{p r}$
174440	Solve for t	3/2t=2 1/10	$\frac{3}{2} t = 2 \frac{1}{10}$
174441	Solve for q	3/5q=2/5q-1/2(2/5q-6)	$\frac{3}{5} q = \frac{2}{5} q - \frac{1}{2} (\frac{2}{5} q - 6)$
174442	Solve for θ	2cos(theta)^2+ square root of 3cos(theta)=0	$2 \cos^{2} (θ) + \sqrt{3} \cos (θ) = 0$
174443	Simplify	7y^2 square root of 72x^2y^2	$7 y^{2} \sqrt{72 x^{2} y^{2}}$
174444	Solve for x	10-6x-9x^2=-9x	$10 - 6 x - 9 x^{2} = - 9 x$
174445	Divide	(4x^4-4x^2-x-3)÷(2x^2-3)	$(4 x^{4} - 4 x^{2} - x - 3) \div (2 x^{2} - 3)$
174446	Divide	2÷(4/3)	$2 \div \frac{4}{3}$
174447	Evaluate	(5+2(4-2*1))	$(5 + 2 (4 - 2 \cdot 1))$
174448	Find the Exact Value	8/(2(2+2))	$\frac{8}{2 (2 + 2)}$
174449	Factor	3x^2-3bx+xy-by	$3 x^{2} - 3 b x + x y - b y$
174450	Solve for x	(x+5)/5=6/(x-2)	$\frac{x + 5}{5} = \frac{6}{x - 2}$
174451	Evaluate	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
174452	Graph	y=-(3x)^2+4	$y = - {(3 x)}^{2} + 4$
174453	Solve for r	1=2/(r^2)-1/r	$1 = \frac{2}{r^{2}} - \frac{1}{r}$
174454	Solve for w	P=2l+2w ; solve for w	$P = 2 l + 2 w$ ; solve for $w$
174455	Solve for x	2+3/((2x+1)(2x-1))=3	$2 + \frac{3}{(2 x + 1) (2 x - 1)} = 3$
174456	Graph Using a Table of Values	f(x)=-2x^2	$f (x) = - 2 x^{2}$
174457	Simplify	-3/8(-4y+z)	$- \frac{3}{8} (- 4 y + z)$
174458	Factor	x^3+x^2y	$x^{3} + x^{2} y$
174459	Solve for t	N=N_0e^(-0.025t)	$N = N_{0} e^{- 0.025 t}$
174460	Evaluate	tan(theta)^2-sec(theta)^2	$\tan^{2} (θ) - \sec^{2} (θ)$
174461	Simplify	4(6p+2q-2p)	$4 (6 p + 2 q - 2 p)$
174462	Simplify	30/(m^2-25)+3/(m-5)	$\frac{30}{m^{2} - 25} + \frac{3}{m - 5}$
174463	Solve the System of Equations	x+y=3 2x+2y=6	$x + y = 3$ $2 x + 2 y = 6$
174464	Solve by Completing the Square	0=3x^2-12x-15	$0 = 3 x^{2} - 12 x - 15$
174465	Solve for r	(3r+4)/2=5	$\frac{3 r + 4}{2} = 5$
174466	Simplify	x^3 square root of 36x^6y^6	$x^{3} \sqrt{36 x^{6} y^{6}}$
174467	Solve the System of Equations	9x+3y-4z=37 4x+3y+7z=16 x-5y+8z=-31	$9 x + 3 y - 4 z = 37$ $4 x + 3 y + 7 z = 16$ $x - 5 y + 8 z = - 31$
174468	Find All Complex Solutions	58x+52=-78x-78	$58 x + 52 = - 78 x - 78$
174469	Solve the Inequality for d	11d-9<=15d+3	$11 d - 9 \leq 15 d + 3$
174470	Solve for h	V=s^2+1/2sh	$V = s^{2} + \frac{1}{2} s h$
174471	Graph	f(x) = square root of x	$f (x) = \sqrt[2]{x}$
174472	Simplify	(2a)/(a-3)-(2a)/(a+3)+36/(a^2-9)	$\frac{2 a}{a - 3} - \frac{2 a}{a + 3} + \frac{36}{a^{2} - 9}$
174473	Simplify the Radical Expression	2/(3 cube root of 5)	$\frac{2}{3 \sqrt[3]{5}}$
174474	Simplify	(x-y-z)^2	${(x - y - z)}^{2}$
174475	Graph	y=2x^3+x^2-7x-6	$y = 2 x^{3} + x^{2} - 7 x - 6$
174476	Simplify	3^(2/5)*3^(-7/5)	$3^{\frac{2}{5}} \cdot 3^{- \frac{7}{5}}$
174477	Solve for c	1/c+1/d=5	$\frac{1}{c} + \frac{1}{d} = 5$
174478	Evaluate	f(x)=(1/4)^-2	$f (x) = {(\frac{1}{4})}^{- 2}$
174479	Solve for x	square root of x+4=0	$\sqrt{x + 4} = 0$
174480	Solve for y	3y+5-7y=4(-y+1)+5	$3 y + 5 - 7 y = 4 (- y + 1) + 5$
174481	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-56=0	$x^{2} + x - 56 = 0$
174482	Simplify	(-3(z)^3)/(12b^4z^10)	$\frac{- 3 {(z)}^{3}}{12 b^{4} z^{10}}$
174483	Solve for x	72=(8x+3)(8x-3)	$72 = (8 x + 3) (8 x - 3)$
174484	Solve the Inequality for x	15/(x+2)<=5	$\frac{15}{x + 2} \leq 5$
174485	Simplify	(3/(x-2)-4/(x+2))/(7/(x^2-4))	$\frac{\frac{3}{x - 2} - \frac{4}{x + 2}}{\frac{7}{x^{2} - 4}}$
174486	Solve the System of Inequalities	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
174487	Evaluate	sec(pi/4)tan(pi/4)	$\sec (\frac{π}{4}) \tan (\frac{π}{4})$
174488	Convert to a Decimal	140deg	$140$ degrees
174489	Evaluate	3*2pi	$3 \cdot 2 π$
174490	Solve for w	5/6=10/(w+3)	$\frac{5}{6} = \frac{10}{w + 3}$
174491	Multiply	(x-4)*(-2x^2-3x+4)	$(x - 4) \cdot (- 2 x^{2} - 3 x + 4)$
174492	Simplify	(sin(theta)^2)/(cos(theta)^2+sin(theta)^2)	$\frac{\sin^{2} (θ)}{\cos^{2} (θ) + \sin^{2} (θ)}$
174493	Simplify	(1-2i)+(-4+2i)	$(1 - 2 i) + (- 4 + 2 i)$
174494	Simplify	(2x+5)(x-2)(3x+4)	$(2 x + 5) (x - 2) (3 x + 4)$
174495	Subtract	(x^3-2x+5)-(2x^3-3x^2+4x-3)	$(x^{3} - 2 x + 5) - (2 x^{3} - 3 x^{2} + 4 x - 3)$
174496	Solve for x	log base 5 of 8x- log base 5 of 2=0	$\log_{5} (8 x) - \log_{5} (2) = 0$
174497	Solve the System of Equations	x+y=3 y=x^2-6x+9	$x + y = 3$ $y = x^{2} - 6 x + 9$
174498	Graph	f(x)=1/2\|x+4\|-3	$f (x) = \frac{1}{2} \| x + 4 \| - 3$
174499	Simplify	(1-2x+x^2)/(1-x^3)	$\frac{1 - 2 x + x^{2}}{1 - x^{3}}$
174500	Simplify	4^(x+1)*2^(2x)	$4^{x + 1} \cdot 2^{2 x}$