Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236801	Solve for h	6h^5=12h^3	$6 h^{5} = 12 h^{3}$
236802	Simplify	(2x^2+13x+15)/(4x^2-9)*(2x^2+3x-9)/(x^2+2x-15)	$\frac{2 x^{2} + 13 x + 15}{4 x^{2} - 9} \cdot \frac{2 x^{2} + 3 x - 9}{x^{2} + 2 x - 15}$
236803	Divide	( square root of 3x^2y^3)/(4 square root of 5xy^3)	$\frac{\sqrt{3 x^{2} y^{3}}}{4 \sqrt{5 x y^{3}}}$
236804	Solve for x	1/5(x-6/5)=-51/25	$\frac{1}{5} (x - \frac{6}{5}) = - \frac{51}{25}$
236805	Simplify	(-2x^-5y^3)/(z^-2)	$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$
236806	Graph	y>=x+1 , y>=10 , x>=0	$y \geq x + 1$ , $y \geq 10$ , $x \geq 0$
236807	Find the LCD	1/(4x) and 3/(7x+1)	$\frac{1}{4 x}$ and $\frac{3}{7 x + 1}$
236808	Simplify	(x-2)(x^2-x+2)x^3	$(x - 2) (x^{2} - x + 2) x^{3}$
236809	Graph	x^2+y^2<=25 y>=-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y \geq - \| x \| + 2$
236810	Solve for q	Solve: q^2+q=0	Solve: $q^{2} + q = 0$
236811	Solve for q	q-r+s=P	$q - r + s = P$
236812	Find the x and y Intercepts	p(x)=(x+2)(2x^2+3x-9)	$p (x) = (x + 2) (2 x^{2} + 3 x - 9)$
236813	Divide	(18 square root of 2)/(3 square root of 3)	$\frac{18 \sqrt{2}}{3 \sqrt{3}}$
236814	Simplify	(6x^3y^2-6x^3)/(3x^3y^3-3x^3)	$\frac{6 x^{3} y^{2} - 6 x^{3}}{3 x^{3} y^{3} - 3 x^{3}}$
236815	Simplify	( cube root of 135h^2)( cube root of 4h^2)	$(\sqrt[3]{135 h^{2}}) (\sqrt[3]{4 h^{2}})$
236816	Find All Complex Solutions	2sec(x)^2+tan(x)^2-3=0	$2 \sec^{2} (x) + \tan^{2} (x) - 3 = 0$
236817	Simplify	(4xh+2h^2)/h	$\frac{4 x h + 2 h^{2}}{h}$
236818	Simplify	square root of 4x+4	$\sqrt{4 x + 4}$
236819	Find the Exact Value	1/( log base 2 of 12)+1/( log base 8 of 12)+1/( log base 9 of 12)	$\frac{1}{\log_{2} (12)} + \frac{1}{\log_{8} (12)} + \frac{1}{\log_{9} (12)}$
236820	Write in Standard Form	(12x^5+10x^3-8x^4-6x+4)-(7x^5+2x^4-12+6x-5x^3+x^2)	$(12 x^{5} + 10 x^{3} - 8 x^{4} - 6 x + 4) - (7 x^{5} + 2 x^{4} - 12 + 6 x - 5 x^{3} + x^{2})$
236821	Write in Slope-Intercept Form	(2,-4) and (0,-4)	$(2, - 4)$ and $(0, - 4)$
236822	Solve for x	12/(x^2+x-2)-(x+3)/(x-1)=(1-x)/(x+2)	$\frac{12}{x^{2} + x - 2} - \frac{x + 3}{x - 1} = \frac{1 - x}{x + 2}$
236823	Solve for x	log of x(5x-4)=2	$\log (x) (5 x - 4) = 2$
236824	Simplify	(5x)/(x-7)+(2x)/(4x-28)	$\frac{5 x}{x - 7} + \frac{2 x}{4 x - 28}$
236825	Find the Domain and Range	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
236826	Factor	Factor: x^2-5x-24	Factor: $x^{2} - 5 x - 24$
236827	Simplify	-3(2/3)^0	$- 3 {(\frac{2}{3})}^{0}$
236828	Evaluate	(-2x^-5y^3)/(z^-2)	$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$
236829	Solve for x	(3x-8)^2=3x^2-8x	${(3 x - 8)}^{2} = 3 x^{2} - 8 x$
236830	Solve for s	-7+s=40	$- 7 + s = 40$
236831	Solve by Addition/Elimination	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
236832	Solve for x	(x+3)/(x-2)>=0	$\frac{x + 3}{x - 2} \geq 0$
236833	Solve for n	f(x)=7x^(-3n)+x^2	$f (x) = 7 x^{- 3 n} + x^{2}$
236834	Solve for w	8.25+1/4w=10.75	$8.25 + \frac{1}{4} w = 10.75$
236835	Divide	(1/4)÷(-1/2)	$\frac{1}{4} \div \frac{- 1}{2}$
236836	Simplify the Radical Expression	(3 square root of 3)/( square root of 18)	$\frac{3 \sqrt{3}}{\sqrt{18}}$
236837	Evaluate	tan(x)^2=1	$\tan^{2} (x) = 1$
236838	Evaluate	300*3^-1	$300 \cdot 3^{- 1}$
236839	Solve by Completing the Square	2x^2+2x-5=x^2	$2 x^{2} + 2 x - 5 = x^{2}$
236840	Solve for k	square root of 8(x-k)=x-k	$\sqrt{8 (x - k)} = x - k$
236841	Solve for m	square root of 2m=2	$\sqrt{2 m} = 2$
236842	Simplify	3*(3x+7)/-5	$3 \cdot \frac{3 x + 7}{- 5}$
236843	Solve by Graphing	x+4y=-8 y=1/2x-5	$x + 4 y = - 8$ $y = \frac{1}{2} x - 5$
236844	Evaluate	11.3e+12.8=7.5e+35.6	$11.3 e + 12.8 = 7.5 e + 35.6$
236845	Round to the Nearest Hundredth	29/24	$\frac{29}{24}$
236846	Solve for y	y=72 , x=3	$y = 72$ , $x = 3$
236847	Find the Discriminant	x^2+3x=-2x-6	$x^{2} + 3 x = - 2 x - 6$
236848	Solve for x	1/4(x+1)^2-16=0	$\frac{1}{4} {(x + 1)}^{2} - 16 = 0$
236849	Subtract	5/(8a)-2/(8a)	$\frac{5}{8 a} - \frac{2}{8 a}$
236850	Simplify	fourth root of 4* cube root of 4	$\sqrt[4]{4} \cdot \sqrt[3]{4}$
236851	Write the Fraction in Simplest Form	cube root of 16	$\sqrt[3]{16}$
236852	Evaluate	(1-2)/(3^-3)	$\frac{1 - 2}{3^{- 3}}$
236853	Find Where Undefined/Discontinuous	f(x)=(x+3)/( square root of x)	$f (x) = \frac{x + 3}{\sqrt{x}}$
236854	Write in Standard Form	3/4x+2=5/12	$\frac{3}{4} x + 2 = \frac{5}{12}$
236855	Solve for x	log base x of x+6=2	$\log_{x} (x) + 6 = 2$
236856	Solve the System of Equations	y=x^2+3 , y=-2x^2+3	$y = x^{2} + 3$ , $y = - 2 x^{2} + 3$
236857	Solve for x	-(3x-8)/(2(4-x)^(1/2))=0	$- \frac{3 x - 8}{2 {(4 - x)}^{\frac{1}{2}}} = 0$
236858	Find the Product	-3v(-8u^2-8uv-7v^2)	$- 3 v (- 8 u^{2} - 8 u v - 7 v^{2})$
236859	Evaluate	-8(x^-3y^4)^-5	$- 8 {(x^{- 3} y^{4})}^{- 5}$
236860	Graph	-1/3\|x+2\|-4	$- \frac{1}{3} \| x + 2 \| - 4$
236861	Graph	y=1/2tan(x-pi/2)	$y = \frac{1}{2} \tan (x - \frac{π}{2})$
236862	Graph	-8+x<-3	$- 8 + x < - 3$
236863	Combine Like Terms	(-10x^2-x+6)+(10x^2-5)	$(- 10 x^{2} - x + 6) + (10 x^{2} - 5)$
236864	Factor	f(x)=5x^3-20x	$f (x) = 5 x^{3} - 20 x$
236865	Simplify	(a-b)(b-c)(c-a)	$(a - b) (b - c) (c - a)$
236866	Convert to Radical Form	5x^3y^(1/2)	$5 x^{3} y^{\frac{1}{2}}$
236867	Divide	((p^2-q^2)/(p+q))÷((p-q)/(p+q))	$\frac{p^{2} - q^{2}}{p + q} \div \frac{p - q}{p + q}$
236868	Solve for x	(1/3)^(2x-5)=120	${(\frac{1}{3})}^{2 x - 5} = 120$
236869	Graph	p(x)=2x^3+5x^2+x-2	$p (x) = 2 x^{3} + 5 x^{2} + x - 2$
236870	Expand the Logarithmic Expression	log of cube root of u^3	$\log (\sqrt[3]{u^{3}})$
236871	Simplify	(-32x^5)^(-1/5)	${(- 32 x^{5})}^{- \frac{1}{5}}$
236872	Simplify	square root of -(x+3)^4	$\sqrt{- {(x + 3)}^{4}}$
236873	Simplify	(2xy)^5*6x^8y^10	${(2 x y)}^{5} \cdot 6 x^{8} y^{10}$
236874	Solve for k	4^(5k)=37	$4^{5 k} = 37$
236875	Solve the Inequality for m	-13m>-26	$- 13 m > - 26$
236876	Simplify	(7r^5+42r^4+56r^3)/(10r+5r^2)	$\frac{7 r^{5} + 42 r^{4} + 56 r^{3}}{10 r + 5 r^{2}}$
236877	Solve for n	e^(5n-1)-40=14	$e^{5 n - 1} - 40 = 14$
236878	Subtract	(7x^2y^3z)-(-7x^2y^3z)	$(7 x^{2} y^{3} z) - (- 7 x^{2} y^{3} z)$
236879	Write in Standard Form	(x^2)/5+1-x^5	$\frac{x^{2}}{5} + 1 - x^{5}$
236880	Solve for x	3x^2+87=30x	$3 x^{2} + 87 = 30 x$
236881	Solve for h	5h-2(3/2h+4)=10	$5 h - 2 (\frac{3}{2} h + 4) = 10$
236882	Find the Equation Using Point-Slope Formula	(-1,7) and (6,-7)	$(- 1, 7)$ and $(6, - 7)$
236883	Find the x and y Intercepts	f(x) = cube root of 2(x+1)+4	$f (x) = \sqrt[3]{2 (x + 1)} + 4$
236884	Divide Using Long Polynomial Division	(5x^5-1)÷(5x+5)	$(5 x^{5} - 1) \div (5 x + 5)$
236885	Simplify	(6 1/2*4 1/3)^2	${(6 \frac{1}{2} \cdot 4 \frac{1}{3})}^{2}$
236886	Graph	y>2x+4 2x-y<=4	$y > 2 x + 4$ $2 x - y \leq 4$
236887	Solve for x	Solve log of x+ log of x+3=1	Solve $\log (x) + \log (x + 3) = 1$
236888	Simplify	square root of (xy)/z	$\sqrt{\frac{x y}{z}}$
236889	Simplify	(-3(-2))÷6	$- 3 (- 2) \div 6$
236890	Solve for W	P=LW	$P = L W$
236891	Simplify	tan(x)^2*sin(x)^2	$\tan^{2} (x) \cdot \sin^{2} (x)$
236892	Graph	f(x)=-1/2*(4)^x+1	$f (x) = - \frac{1}{2} \cdot {(4)}^{x} + 1$
236893	Solve the Rational Equation for x	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
236894	Solve for x	(4x-6)/(3x-9)=1/3	$\frac{4 x - 6}{3 x - 9} = \frac{1}{3}$
236895	Evaluate	square root of m+17+3=m	$\sqrt{m + 17} + 3 = m$
236896	Find the Domain and Range	5/( cube root of x-8)	$\frac{5}{\sqrt[3]{x - 8}}$
236897	Solve for b	2 square root of b+5=11- square root of b	$2 \sqrt{b} + 5 = 11 - \sqrt{b}$
236898	Solve the Inequality for m	m/3-3<-6	$\frac{m}{3} - 3 < - 6$
236899	Find the Domain and Range	y=cos(x-pi)	$y = \cos (x - π)$
236900	Find the Exact Value	sin(pi/2-(3pi)/2)	$\sin (\frac{π}{2} - \frac{3 π}{2})$