Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173501	Multiply	square root of 5x^8y^2* square root of 10x^3* square root of 12y	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}$
173502	Simplify	((x^2-4)/(4x^2-12x))÷((2x+4)/(-x^2+5x-6))	$\frac{x^{2} - 4}{4 x^{2} - 12 x} \div \frac{2 x + 4}{- x^{2} + 5 x - 6}$
173503	Evaluate	2*(-1/3)	$2 \cdot (- \frac{1}{3})$
173504	Solve the Rational Equation for y	(y+3)/(y-1)=4/(y-1)	$\frac{y + 3}{y - 1} = \frac{4}{y - 1}$
173505	Solve the System of Equations	y=3x-4 -3y=-9x+12	$y = 3 x - 4$ $- 3 y = - 9 x + 12$
173506	Solve the Inequality for x	4/(x+2)>2	$\frac{4}{x + 2} > 2$
173507	Simplify	10a-7b+11+8a-b-12	$10 a - 7 b + 11 + 8 a - b - 12$
173508	Simplify	6a(b+2c)	$6 a (b + 2 c)$
173509	Solve for r	2(3r+4)-3(r+1)=11	$2 (3 r + 4) - 3 (r + 1) = 11$
173510	Solve for d	c=(2d+1)/3	$c = \frac{2 d + 1}{3}$
173511	Solve the Absolute Value Inequality for x	9\|x+8\|+10<55	$9 \| x + 8 \| + 10 < 55$
173512	Write in Slope-Intercept Form	y=8(x-4)+6x	$y = 8 (x - 4) + 6 x$
173513	Graph	f(x)=4^x , f^-1(x) = log base 4 of x	$f (x) = 4^{x}$ , $f^{- 1} (x) = \log_{4} (x)$
173514	Solve the System of Inequalities	-41<4x-5 or 15<4x-5	$- 41 < 4 x - 5$ or $15 < 4 x - 5$
173515	Simplify	square root of (z^11)/(81z)	$\sqrt{\frac{z^{11}}{81 z}}$
173516	Solve for x	3.5\|6x-2\|=3.5	$3.5 \| 6 x - 2 \| = 3.5$
173517	Graph	f(x)=(x^2-3x-4)/(-3x)	$f (x) = \frac{x^{2} - 3 x - 4}{- 3 x}$
173518	Solve for m	1/3+2m=m-3/2	$\frac{1}{3} + 2 m = m - \frac{3}{2}$
173519	Evaluate	(9!)/(2!2!2!)	$\frac{9!}{2! 2! 2!}$
173520	Find the Holes in the Graph	f(x)=(2x^2+2x)/(x^2-2x-3)	$f (x) = \frac{2 x^{2} + 2 x}{x^{2} - 2 x - 3}$
173521	Evaluate Using the Given Value	3+jk+k^3 when j=2 and k=6	$3 + j k + k^{3}$ when $j = 2$ and $k = 6$
173522	Find the Roots (Zeros)	y=-2(x-2)(x-10)	$y = - 2 (x - 2) (x - 10)$
173523	Find the Exact Value	2(cos(15 degrees )^2-sin(15 degrees )^2)	$2 (\cos^{2} (15 °) - \sin^{2} (15 °))$
173524	Solve for x	x/(x+4)+12/(x^2+5x+4)=(8x)/(5x-15)	$\frac{x}{x + 4} + \frac{12}{x^{2} + 5 x + 4} = \frac{8 x}{5 x - 15}$
173525	Solve for x	(x-5)/(x-6)=2/x	$\frac{x - 5}{x - 6} = \frac{2}{x}$
173526	Simplify	square root of 14q*2 square root of 4q	$\sqrt{14 q} \cdot 2 \sqrt{4 q}$
173527	Find the Exact Value	( square root of 2)^2	${(\sqrt{2})}^{2}$
173528	Solve the Rational Equation for x	7/(4x)-3/(x^2)=1/(2x^2)	$\frac{7}{4 x} - \frac{3}{x^{2}} = \frac{1}{2 x^{2}}$
173529	Find All Complex Solutions	csc(theta)+1=0	$\csc (θ) + 1 = 0$
173530	Solve the Inequality for d	d/5>4	$\frac{d}{5} > 4$
173531	Find the Discriminant	4x^2+107x+313=-x^2+7x-7	$4 x^{2} + 107 x + 313 = - x^{2} + 7 x - 7$
173532	Simplify	((8x^3-125y^3)/((2x+5y)^3))÷((4x^2+10xy+25y^2)/(4x^2+20xy+25y^2))	$\frac{8 x^{3} - 125 y^{3}}{{(2 x + 5 y)}^{3}} \div \frac{4 x^{2} + 10 x y + 25 y^{2}}{4 x^{2} + 20 x y + 25 y^{2}}$
173533	Solve for x	square root of x+1 = square root of x+8	$\sqrt{x} + 1 = \sqrt{x + 8}$
173534	Simplify	( square root of x+2)÷( square root of 5-x)	$\sqrt{x + 2} \div \sqrt{5 - x}$
173535	Factor	9(x-1)-(x-1)^2	$9 (x - 1) - {(x - 1)}^{2}$
173536	Solve for x	csc(x)+2=0	$\csc (x) + 2 = 0$
173537	Evaluate	(2!7!)/(4!8!)	$\frac{2! 7!}{4! 8!}$
173538	Find the Roots (Zeros)	m(x)=3x^4-13x^3+x^2+13x-4	$m (x) = 3 x^{4} - 13 x^{3} + x^{2} + 13 x - 4$
173539	Solve the System of Inequalities	-5x+7<=-13 and -38<=-5x+7	$- 5 x + 7 \leq - 13$ and $- 38 \leq - 5 x + 7$
173540	Find the Exact Value	cot(570 degrees )	$\cot (570 °)$
173541	Solve for x	(2(x+1))/5-(3(x-1))/10=(7x+1)/10	$\frac{2 (x + 1)}{5} - \frac{3 (x - 1)}{10} = \frac{7 x + 1}{10}$
173542	Solve for x	3-2/x=4/x	$3 - \frac{2}{x} = \frac{4}{x}$
173543	Simplify	(-2x^3)^2*(-1/4x^4)	${(- 2 x^{3})}^{2} \cdot (- \frac{1}{4} x^{4})$
173544	Simplify	(3x^2+y)^2	${(3 x^{2} + y)}^{2}$
173545	Solve for Z	2/3(Y-Z)=x	$\frac{2}{3} (Y - Z) = x$
173546	Factor	7x(a-b)-3y(a-b)	$7 x (a - b) - 3 y (a - b)$
173547	Graph	f(x)=(x-1)/(x^2+x-2)	$f (x) = \frac{x - 1}{x^{2} + x - 2}$
173548	Simplify	(3xy^2)/(4y)*(2x^2)/(3y)	$\frac{3 x y^{2}}{4 y} \cdot \frac{2 x^{2}}{3 y}$
173549	Solve by Substitution	-2x-3y=9 -x=y	$- 2 x - 3 y = 9$ $- x = y$
173550	Find the Exact Value	sin(pi)^2	$\sin^{2} (π)$
173551	Graph	y=1/2 square root of x+2	$y = \frac{1}{2} \sqrt{x + 2}$
173552	Simplify	- square root of 9- square root of -81- square root of 16- square root of -4	$- \sqrt{9} - \sqrt{- 81} - \sqrt{16} - \sqrt{- 4}$
173553	Find the Focus	x^2=4py	$x^{2} = 4 p y$
173554	Divide	-x/x	$- \frac{x}{x}$
173555	Solve for x	1/2=1/x-1/(2x^2)	$\frac{1}{2} = \frac{1}{x} - \frac{1}{2 x^{2}}$
173556	Evaluate	2pi+2pi	$2 π + 2 π$
173557	Solve for v	12v-7v-4v=57	$12 v - 7 v - 4 v = 57$
173558	Solve the System of Equations	y=x^2 and y=x-2	$y = x^{2}$ and $y = x - 2$
173559	Evaluate	-sin((3pi)/2)	$- \sin (\frac{3 π}{2})$
173560	Find the Product	-4(v+1)	$- 4 (v + 1)$
173561	Solve the Inequality for v	2(4v-1)<2(3v+1)	$2 (4 v - 1) < 2 (3 v + 1)$
173562	Find the LCM	9 and 6	$9$ and $6$
173563	Simplify	(5y^5-3y^4-8)+(9y^5+2y^2)	$(5 y^{5} - 3 y^{4} - 8) + (9 y^{5} + 2 y^{2})$
173564	Evaluate the Function	f(0)=3	$f (0) = 3$
173565	Solve for x	x/(x^2-4)+1/(x+2)=3	$\frac{x}{x^{2} - 4} + \frac{1}{x + 2} = 3$
173566	Find the Domain and Range	y=x^(3/2)	$y = x^{\frac{3}{2}}$
173567	Solve for A	Ax+b=0	$A x + b = 0$
173568	Solve for p	2p+5>2(p-3)	$2 p + 5 > 2 (p - 3)$
173569	Solve for v	4/3(1/2v-3)+5=-1/4v	$\frac{4}{3} (\frac{1}{2} v - 3) + 5 = - \frac{1}{4} v$
173570	Simplify	(a^2+7a+10)/(a^2+2a-15)+10/(a-3)	$\frac{a^{2} + 7 a + 10}{a^{2} + 2 a - 15} + \frac{10}{a - 3}$
173571	Solve the Inequality for t	-8t<=-36	$- 8 t \leq - 36$
173572	Solve the System of Inequalities	-34>=-4x+6 and -4x+6>=-42	$- 34 \geq - 4 x + 6$ and $- 4 x + 6 \geq - 42$
173573	Describe the Transformation	y=f(3x)	$y = f (3 x)$
173574	Find All Complex Solutions	cos(x)sin(x)-2cos(x)=0	$\cos (x) \sin (x) - 2 \cos (x) = 0$
173575	Solve for x	square root of x-4=2-x	$\sqrt{x} - 4 = 2 - x$
173576	Find the Exact Value	cot(405 degrees )	$\cot (405 °)$
173577	Solve for a	(2a-2)/(a-3)-(a-3)/(a-2)=(a^2-8a+27)/(a^2-5a+6)	$\frac{2 a - 2}{a - 3} - \frac{a - 3}{a - 2} = \frac{a^{2} - 8 a + 27}{a^{2} - 5 a + 6}$
173578	Solve for y	6(y+1)-10=4(y-1)+2y	$6 (y + 1) - 10 = 4 (y - 1) + 2 y$
173579	Subtract	7/(2w^2-19w+9)-(4w+3)/(2w^2+w-1)	$\frac{7}{2 w^{2} - 19 w + 9} - \frac{4 w + 3}{2 w^{2} + w - 1}$
173580	Solve for x	(x+2)/x+(x-5)/(2x)=(2x+4)/(3x)	$\frac{x + 2}{x} + \frac{x - 5}{2 x} = \frac{2 x + 4}{3 x}$
173581	Solve for c	(ab)/c=de	$\frac{a b}{c} = d e$
173582	Evaluate	\|x\|=3	$\| x \| = 3$
173583	Find the End Behavior	f(x)=1/2x(x+5)(x-3)	$f (x) = \frac{1}{2} x (x + 5) (x - 3)$
173584	Divide Using Synthetic Division	x^4-10x^2-13x-50 is divided by x+5	$x^{4} - 10 x^{2} - 13 x - 50$ is divided by $x + 5$
173585	Graph	y>(x+2)^2	$y > {(x + 2)}^{2}$
173586	Evaluate	1/3(1)^3	$\frac{1}{3} {(1)}^{3}$
173587	Solve for a	u=(-2a-3)/(ka) ; for a	$u = \frac{- 2 a - 3}{k a}$ ; for $a$
173588	Evaluate	(x+y+z)^2	${(x + y + z)}^{2}$
173589	Solve for x	x+3 = square root of 12x+1	$x + 3 = \sqrt{12 x + 1}$
173590	Find the Domain and Range	f(x) = log base 1/3 of x	$f (x) = \log_{\frac{1}{3}} (x)$
173591	Solve for y	y-(y-1)/(3-y)=2/(y-3)	$y - \frac{y - 1}{3 - y} = \frac{2}{y - 3}$
173592	Simplify	((-3s^-1c^-4)^2)/(4s^10c^-10)	$\frac{{(- 3 s^{- 1} c^{- 4})}^{2}}{4 s^{10} c^{- 10}}$
173593	Solve for f	6f+2g=8f+9	$6 f + 2 g = 8 f + 9$
173594	Graph Using a Table of Values	f(x)=e^(-x)	$f (x) = e^{- x}$
173595	Simplify	(1-cos(x)^2)(1+cot(x)^2)	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x))$
173596	Find the Exact Value	cos(pi/2)^2	$\cos^{2} (\frac{π}{2})$
173597	Find the Holes in the Graph	f(x)=(x^2+7x)/(x^3-5x^2-14x)	$f (x) = \frac{x^{2} + 7 x}{x^{3} - 5 x^{2} - 14 x}$
173598	Find the Function	f(x)=6^x	$f (x) = 6^{x}$
173599	Graph	f(x) = cube root of -x-1	$f (x) = \sqrt[3]{- x} - 1$
173600	Graph	d(t)=1/2t+6	$d (t) = \frac{1}{2} t + 6$