Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172501	Evaluate	0+negative infinity	$0 + - \infty$
172502	Divide Using Long Polynomial Division	(-2x^4+6x^2-15+3x^3)÷(-x^2+x+2)	$(- 2 x^{4} + 6 x^{2} - 15 + 3 x^{3}) \div (- x^{2} + x + 2)$
172503	Simplify	((-3b^4)^3)/(3b^8h^-9)	$\frac{{(- 3 b^{4})}^{3}}{3 b^{8} h^{- 9}}$
172504	Simplify	((2^5)^3*2^-7)/(2^-6)	$\frac{{(2^{5})}^{3} \cdot 2^{- 7}}{2^{- 6}}$
172505	Simplify	(n+8)+(n-12)	$(n + 8) + (n - 12)$
172506	Solve the Inequality for x	(x^2-9)/(x+5)<0	$\frac{x^{2} - 9}{x + 5} < 0$
172507	Simplify	2m-((m-n)-(m+n))	$2 m - ((m - n) - (m + n))$
172508	Write in Standard Form	(x+1)(x-2)(x+4)(3x+7)	$(x + 1) (x - 2) (x + 4) (3 x + 7)$
172509	Simplify	(-9m^6n^4)^2-6m^10n^3*(-7m^2n^5)	${(- 9 m^{6} n^{4})}^{2} - 6 m^{10} n^{3} \cdot (- 7 m^{2} n^{5})$
172510	Write the Fraction in Simplest Form	(tan(theta)^2csc(theta)^2-1)/(sec(theta)^2)	$\frac{\tan^{2} (θ) \csc^{2} (θ) - 1}{\sec^{2} (θ)}$
172511	Simplify	f(x)=(1/(x+1)-1/(x-1))/(1/(x-1)+1/(x+1))	$f (x) = \frac{\frac{1}{x + 1} - \frac{1}{x - 1}}{\frac{1}{x - 1} + \frac{1}{x + 1}}$
172512	Solve for D	P=2D+2C for D	$P = 2 D + 2 C$ for $D$
172513	Graph Using a Table of Values	f(x) = cube root of x+7	$f (x) = \sqrt[3]{x} + 7$
172514	Solve for x	square root of x+4=x	$\sqrt{x + 4} = x$
172515	Simplify	4(2m-6)-3p-2m+8	$4 (2 m - 6) - 3 p - 2 m + 8$
172516	Solve the Inequality for s	s+9>=-25	$s + 9 \geq - 25$
172517	Find the Function	f(x)=\|x-5\|	$f (x) = \| x - 5 \|$
172518	Write in Slope-Intercept Form	12y=(8x-48)/3	$12 y = \frac{8 x - 48}{3}$
172519	Simplify	(a^2+a-20)/(36a-9a^2)	$\frac{a^{2} + a - 20}{36 a - 9 a^{2}}$
172520	Find the Slope and y-intercept	m=2	$m = 2$
172521	Graph	(1/2,( square root of 3)/2)	$(\frac{1}{2}, \frac{\sqrt{3}}{2})$
172522	Graph	y=(-x)^2+3	$y = {(- x)}^{2} + 3$
172523	Evaluate	e^x=4	$e^{x} = 4$
172524	Simplify	(3m^8)/((4mt^-2)^2)	$\frac{3 m^{8}}{{(4 m t^{- 2})}^{2}}$
172525	Find the x and y Intercepts	F(x)=x^4-10x^2+9	$F (x) = x^{4} - 10 x^{2} + 9$
172526	Solve for x	0=x^2-8x+16	$0 = x^{2} - 8 x + 16$
172527	Solve for c	3/5(10-5c)=3/2-5/3c	$\frac{3}{5} (10 - 5 c) = \frac{3}{2} - \frac{5}{3} c$
172528	Solve for m	m/6-7=2/3	$\frac{m}{6} - 7 = \frac{2}{3}$
172529	Solve for x	5/4=4(1/12+1/x)-1/2	$\frac{5}{4} = 4 (\frac{1}{12} + \frac{1}{x}) - \frac{1}{2}$
172530	Solve for x	(5x+1)/(5x-1)=6/4	$\frac{5 x + 1}{5 x - 1} = \frac{6}{4}$
172531	Simplify	( square root of -2)( square root of 7)	$(\sqrt{- 2}) (\sqrt{7})$
172532	Solve for y	y/3=h	$\frac{y}{3} = h$
172533	Simplify	(16x^4y^3)/(2x^4)	$\frac{16 x^{4} y^{3}}{2 x^{4}}$
172534	Solve for y	3(y+2)-16=8y	$3 (y + 2) - 16 = 8 y$
172535	Solve the Inequality for z	5z-2-2z<13	$5 z - 2 - 2 z < 13$
172536	Multiply	(4p^2+6q)(4p^2-6q)	$(4 p^{2} + 6 q) (4 p^{2} - 6 q)$
172537	Solve the Inequality for x	-5(3x-6)+5>=-25	$- 5 (3 x - 6) + 5 \geq - 25$
172538	Multiply	1/2*3/4	$\frac{1}{2} \cdot \frac{3}{4}$
172539	Simplify	((3a^5r^2)^-1)/(2a^-5r^-2)	$\frac{{(3 a^{5} r^{2})}^{- 1}}{2 a^{- 5} r^{- 2}}$
172540	Simplify	(4x)/(x-1)*(x^2-1)/(3x+3)	$\frac{4 x}{x - 1} \cdot \frac{x^{2} - 1}{3 x + 3}$
172541	Solve for y	y^2=x^2	$y^{2} = x^{2}$
172542	Solve for r	g(r)=25-3r	$g (r) = 25 - 3 r$
172543	Solve for x	Ax+By=C for x	$A x + B y = C$ for $x$
172544	Graph	f(x)=1/2(x+1)^2(x-1)(x-2)^2	$f (x) = \frac{1}{2} {(x + 1)}^{2} (x - 1) {(x - 2)}^{2}$
172545	Multiply	987654321	$9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
172546	Find the Roots (Zeros)	(x^2-1)(x^2-5x+6)	$(x^{2} - 1) (x^{2} - 5 x + 6)$
172547	Find the Domain and Range	f^-1(x) = cube root of x+2	$f^{- 1} (x) = \sqrt[3]{x + 2}$
172548	Find the Vertex Form	f(x)=x^2	$f (x) = x^{2}$
172549	Solve the Inequality for x	x/2>=1-x/4	$\frac{x}{2} \geq 1 - \frac{x}{4}$
172550	Graph	x^3+x^2	$x^{3} + x^{2}$
172551	Solve the Inequality for x	5x>=20	$5 x \geq 20$
172552	Solve for x	16-2x=3/2x+9	$16 - 2 x = \frac{3}{2} x + 9$
172553	Solve for y	1/(y^2-y-2)-2/(y-2)=1/(y+1)	$\frac{1}{y^{2} - y - 2} - \frac{2}{y - 2} = \frac{1}{y + 1}$
172554	Solve for a	f(x)=ax^2	$f (x) = a x^{2}$
172555	Evaluate	-3.6-1.9t+1.2+5.1t	$- 3.6 - 1.9 t + 1.2 + 5.1 t$
172556	Solve the System of Equations	x=16-4y 3x+4y=8	$x = 16 - 4 y$ $3 x + 4 y = 8$
172557	Simplify	(x^3+4x^2-21x)/(x^3-9x)	$\frac{x^{3} + 4 x^{2} - 21 x}{x^{3} - 9 x}$
172558	Solve for x	log base 6 of 4x+2 log base 6 of 9=5	$\log_{6} (4 x) + 2 \log_{6} (9) = 5$
172559	Find the Axis of Symmetry	f(x)=\|x\|	$f (x) = \| x \|$
172560	Solve the Inequality for x	x/4+6<=x+8	$\frac{x}{4} + 6 \leq x + 8$
172561	Simplify	((2x^2-7x+3)/(10x^3))/((3-x)/5)	$\frac{(\frac{2 x^{2} - 7 x + 3}{10 x^{3}})}{(\frac{3 - x}{5})}$
172562	Solve for x	j(x)=-4/5x+7 , j(x)=-5	$j (x) = - \frac{4}{5} x + 7$ , $j (x) = - 5$
172563	Simplify	( square root of -100)(- square root of 16)	$(\sqrt{- 100}) (- \sqrt{16})$
172564	Solve the System of Inequalities	-8x-10<-6x+2<=-8x+4	$- 8 x - 10 < - 6 x + 2 \leq - 8 x + 4$
172565	Simplify	(5b^-10v^-10)/((3bv^-1)^-4)	$\frac{5 b^{- 10} v^{- 10}}{{(3 b v^{- 1})}^{- 4}}$
172566	Solve for x	x(x+3)=5x+3	$x (x + 3) = 5 x + 3$
172567	Simplify	- square root of 121- square root of -160+ square root of 16- square root of -10	$- \sqrt{121} - \sqrt{- 160} + \sqrt{16} - \sqrt{- 10}$
172568	Write in Slope-Intercept Form	(0,-3) and (1,0)	$(0, - 3)$ and $(1, 0)$
172569	Rationalize the Denominator	2/( square root of 5+ square root of 6)	$\frac{2}{\sqrt{5} + \sqrt{6}}$
172570	Simplify	(12x^-2)/((3p^-1x^-5)^-3)	$\frac{12 x^{- 2}}{{(3 p^{- 1} x^{- 5})}^{- 3}}$
172571	Find the Exact Value	2cos((4pi)/3)	$2 \cos (\frac{4 π}{3})$
172572	Solve for x	10x+9-11-x=-2(2x+4)-3(2x-2)	$10 x + 9 - 11 - x = - 2 (2 x + 4) - 3 (2 x - 2)$
172573	Solve for x	log base x of log base 2 of 256=3	$\log_{x} (\log_{2} (256)) = 3$
172574	Solve for x	-3/(x+1)=(x-5)/(x-5)	$\frac{- 3}{x + 1} = \frac{x - 5}{x - 5}$
172575	Solve the Inequality for n	7.2>0.9(n+8.6)	$7.2 > 0.9 (n + 8.6)$
172576	Solve Using the Quadratic Formula	x^2+(7-x)^2=25	$x^{2} + {(7 - x)}^{2} = 25$
172577	Divide	1 6/7÷5 3/4	$1 \frac{6}{7} \div 5 \frac{3}{4}$
172578	Subtract	2 5/8-7/8	$2 \frac{5}{8} - \frac{7}{8}$
172579	Solve the Inequality for x	3x^2-9x>=0	$3 x^{2} - 9 x \geq 0$
172580	Solve for x	10x-(2x+9)=-3(15-4x)	$10 x - (2 x + 9) = - 3 (15 - 4 x)$
172581	Multiply	4x*2x^2	$4 x \cdot 2 x^{2}$
172582	Graph	-6>t-(-13)	$- 6 > t - (- 13)$
172583	Simplify	(4(ya^-5)^-1)/(4y^-8a^4)	$\frac{4 {(y a^{- 5})}^{- 1}}{4 y^{- 8} a^{4}}$
172584	Solve for x	-x/4-2=x+3	$- \frac{x}{4} - 2 = x + 3$
172585	Graph	f(x)=(x^2-1)/(x^2+1)	$f (x) = \frac{x^{2} - 1}{x^{2} + 1}$
172586	Solve by Substitution	y=-x^2+x-1 y=-x-1	$y = - x^{2} + x - 1$ $y = - x - 1$
172587	Simplify	(x^2-8x-20)/(x-10)*(3x)/(x+2)	$\frac{x^{2} - 8 x - 20}{x - 10} \cdot \frac{3 x}{x + 2}$
172588	Solve the Inequality for j	15(j-3)+3j<45	$15 (j - 3) + 3 j < 45$
172589	Graph	y<-2/3x+3 y>=3x-8	$y < - \frac{2}{3} x + 3$ $y \geq 3 x - 8$
172590	Solve the System of Inequalities	-5x-9<26 and -5x-9>=-4	$- 5 x - 9 < 26$ and $- 5 x - 9 \geq - 4$
172591	Graph	n(x)=1/2\|x-6\|	$n (x) = \frac{1}{2} \| x - 6 \|$
172592	Solve for a	-1/2=3/4a-7/8	$- \frac{1}{2} = \frac{3}{4} a - \frac{7}{8}$
172593	Simplify	6/( square root of 5+ square root of 3)	$\frac{6}{\sqrt{5} + \sqrt{3}}$
172594	Simplify	((-6x^2y^3)^4)/(8x^9y^7*3xy^5)	$\frac{{(- 6 x^{2} y^{3})}^{4}}{8 x^{9} y^{7} \cdot 3 x y^{5}}$
172595	Graph	y<3 y<=-x+1	$y < 3$ $y \leq - x + 1$
172596	Multiply	(49x^2-25)/(2x^2+x-21)*(4x-12)/(7x+5)	$\frac{49 x^{2} - 25}{2 x^{2} + x - 21} \cdot \frac{4 x - 12}{7 x + 5}$
172597	Simplify	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
172598	Solve the Inequality for x	5/3(6x+3)<=2x-7	$\frac{5}{3} (6 x + 3) \leq 2 x - 7$
172599	Evaluate	3-(5-10)-7+1-6	$3 - (5 - 10) - 7 + 1 - 6$
172600	Solve the System of Inequalities	3x-18<4x-23 and x-16<-22	$3 x - 18 < 4 x - 23$ and $x - 16 < - 22$