Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232901	Solve for x	square root of x^2-5x=6	$\sqrt{x^{2}} - 5 x = 6$
232902	Simplify the Radical Expression	1/( square root of x^3)	$\frac{1}{\sqrt{x^{3}}}$
232903	Solve the System of Inequalities	x<3 and x>-4	$x < 3$ and $x > - 4$
232904	Find the Inverse	f(x)=(3x)^(-2/3) on the domain x>0	$f (x) = {(3 x)}^{- \frac{2}{3}}$ on the domain $x > 0$
232905	Simplify	25x-3(4(x+6)-3)	$25 x - 3 (4 (x + 6) - 3)$
232906	Simplify	10(5g+2h-3)-4(3g-4h+2)	$10 (5 g + 2 h - 3) - 4 (3 g - 4 h + 2)$
232907	Evaluate	-3 11/12-3 1/3	$- 3 \frac{11}{12} - 3 \frac{1}{3}$
232908	Simplify	(18xy^3z^2)(x^3yz^5)^3(z^6)^2	$(18 x y^{3} z^{2}) {(x^{3} y z^{5})}^{3} {(z^{6})}^{2}$
232909	Write as a Single Logarithm	log base 2 of z+2 log base 2 of x+4 log base 9 of y+12 log base 9 of x-2 log base 2 of y	$\log_{2} (z) + 2 \log_{2} (x) + 4 \log_{9} (y) + 12 \log_{9} (x) - 2 \log_{2} (y)$
232910	Evaluate	(4(1-(5-2)^3))/(2^3)	$\frac{4 (1 - {(5 - 2)}^{3})}{2^{3}}$
232911	Graph	f(x)=1/3e^x	$f (x) = \frac{1}{3} e^{x}$
232912	Solve for x	4x+2-x=2x+7	$4 x + 2 - x = 2 x + 7$
232913	Solve the Inequality for g	7/10>4/5+g	$\frac{7}{10} > \frac{4}{5} + g$
232914	Simplify	9x^5+3x(4x^4-3x^2)^2	$9 x^{5} + 3 x {(4 x^{4} - 3 x^{2})}^{2}$
232915	Solve the Inequality for m	1/5(4m+10)<4/5m+2	$\frac{1}{5} (4 m + 10) < \frac{4}{5} m + 2$
232916	Write in Slope-Intercept Form	(3,-5) and (5,-1)	$(3, - 5)$ and $(5, - 1)$
232917	Evaluate	-csc((3pi)/4)	$- \csc (\frac{3 π}{4})$
232918	Factor	(8xy+14y)	$(8 x y + 14 y)$
232919	Find the Holes in the Graph	f(x)=(x^2-x-12)/(x^2+x-6)	$f (x) = \frac{x^{2} - x - 12}{x^{2} + x - 6}$
232920	Find the Excluded Values	(x^2-25)/(3x-7)	$\frac{x^{2} - 25}{3 x - 7}$
232921	Evaluate	12-((6-4)+(8-15))-(4-(3+2)-(1-7))	$12 - ((6 - 4) + (8 - 15)) - (4 - (3 + 2) - (1 - 7))$
232922	Evaluate	32% of 50	$32 %$ of $50$
232923	Solve for w	f=w+7m	$f = w + 7 m$
232924	Factor	(x-1)/(x^2+x-6)-(x-2)/(x^2+4x+3)	$\frac{x - 1}{x^{2} + x - 6} - \frac{x - 2}{x^{2} + 4 x + 3}$
232925	Simplify	(6x^-1y^(7/2))/( square root of 16x^2y^2)	$\frac{6 x^{- 1} y^{\frac{7}{2}}}{\sqrt{16 x^{2} y^{2}}}$
232926	Solve the Rational Equation for x	-7/(4x)+5/(6x)=1	$- \frac{7}{4 x} + \frac{5}{6 x} = 1$
232927	Evaluate	(1/x-1/y)/(1/x+1/y)	$\frac{\frac{1}{x} - \frac{1}{y}}{\frac{1}{x} + \frac{1}{y}}$
232928	Graph	f(x)=-x/2+5/2	$f (x) = - \frac{x}{2} + \frac{5}{2}$
232929	Simplify	( cube root of 16* cube root of 8)/( cube root of 2)	$\frac{\sqrt[3]{16} \cdot \sqrt[3]{8}}{\sqrt[3]{2}}$
232930	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(- 4, 1)$ and has a slope of $- \frac{3}{4}$ ?
232931	Evaluate	10/(3/(1/6))-(2.8+1.2)	$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$
232932	Solve for x	5(x-2)<=4x-5	$5 (x - 2) \leq 4 x - 5$
232933	Simplify the Radical Expression	4 square root of 8* square root of 2	$4 \sqrt{8} \cdot \sqrt{2}$
232934	Solve the Inequality for x	-3(x-3)<-2x-x+1	$- 3 (x - 3) < - 2 x - x + 1$
232935	Simplify	(27x^3+18x-36)/-9	$\frac{27 x^{3} + 18 x - 36}{- 9}$
232936	Simplify	limit as x approaches infinity of (2x+3)/(5x^2+4)	$lim_{x \to \infty} \frac{2 x + 3}{5 x^{2} + 4}$
232937	Divide	((x^2-25)/(x^2-10x+25))÷((x^2+10x+25)/(2x-10))	$\frac{x^{2} - 25}{x^{2} - 10 x + 25} \div \frac{x^{2} + 10 x + 25}{2 x - 10}$
232938	Solve for x	(x^2-2)^2+18=9x^2-18	${(x^{2} - 2)}^{2} + 18 = 9 x^{2} - 18$
232939	Simplify	36-(-(9c-15))	$36 - (- (9 c - 15))$
232940	Simplify	(x+1)/(x^3-x)	$\frac{x + 1}{x^{3} - x}$
232941	Simplify	(x^6)^(3/4)	${(x^{6})}^{\frac{3}{4}}$
232942	Convert to Scientific Notation	(10^8)/(10^4)	$\frac{10^{8}}{10^{4}}$
232943	Graph	1/3x+2x>=-3	$\frac{1}{3} x + 2 x \geq - 3$
232944	Simplify the Radical Expression	( sixth root of j^5)/( fifth root of j^4)	$\frac{\sqrt[6]{j^{5}}}{\sqrt[5]{j^{4}}}$
232945	Divide Using Long Polynomial Division	(4x^3)÷(2x)	$(4 x^{3}) \div (2 x)$
232946	Simplify	(4x+8)/x*5/(x+2)	$\frac{4 x + 8}{x} \cdot \frac{5}{x + 2}$
232947	Solve the System of Equations	5x+6y=26 and -x+y=-14	$5 x + 6 y = 26$ and $- x + y = - 14$
232948	Find g(h(x))	g(x)=2x and h(x)=x^2+4	$g (x) = 2 x$ and $h (x) = x^{2} + 4$
232949	Combine Like Terms	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
232950	Multiply	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
232951	Simplify	(7mn^2)(-15m^-4n^3)	$(7 m n^{2}) (- 15 m^{- 4} n^{3})$
232952	Evaluate	(5+2^3)^2-5^2	${(5 + 2^{3})}^{2} - 5^{2}$
232953	Solve the Inequality for x	a(bx-c)>=bc	$a (b x - c) \geq b c$
232954	Evaluate	1320*1/(2pi)	$1320 \cdot \frac{1}{2 π}$
232955	Solve for n	(n+6)/(n-7)=2s	$\frac{n + 6}{n - 7} = 2 s$
232956	Solve for θ	0<=theta<=2pi	$0 \leq θ \leq 2 π$
232957	Write in Standard Form	(2y^2-5y+3)+(y^2-2y-5)	$(2 y^{2} - 5 y + 3) + (y^{2} - 2 y - 5)$
232958	Simplify	square root of 3^3 square root of 2	$\sqrt{3^{3}} \sqrt{2}$
232959	Simplify	4p^2+2q-3p^2-3q+pq	$4 p^{2} + 2 q - 3 p^{2} - 3 q + p q$
232960	Multiply	x/3*2	$\frac{x}{3} \cdot 2$
232961	Simplify	-(6x+3y)-(x+y)	$- (6 x + 3 y) - (x + y)$
232962	Find the Distance Between Two Points	(3,pi/2) , (8,(4pi)/3)	$(3, \frac{π}{2})$ , $(8, \frac{4 π}{3})$
232963	Simplify	3x^2y+7xy^2+2x^2y-9xy^2	$3 x^{2} y + 7 x y^{2} + 2 x^{2} y - 9 x y^{2}$
232964	Solve for d	d=( square root of 43)^2	$d = {(\sqrt{43})}^{2}$
232965	Find the Equation Using Point-Slope Formula	(-2,6) and (1,1)	$(- 2, 6)$ and $(1, 1)$
232966	Solve for c	167=8c^3-9	$167 = 8 c^{3} - 9$
232967	Find the x and y Intercepts	y=1/8x^(3/2)-8	$y = \frac{1}{8} x^{\frac{3}{2}} - 8$
232968	Simplify the Radical Expression	3x cube root of 648x^4y^8	$3 x \sqrt[3]{648 x^{4} y^{8}}$
232969	Simplify the Radical Expression	( fourth root of p^7q^10)/( fourth root of p^2q^2)	$\frac{\sqrt[4]{p^{7} q^{10}}}{\sqrt[4]{p^{2} q^{2}}}$
232970	Evaluate	((m+3)/(m^2-16))/((m^2-9)/(m+4))	$\frac{\frac{m + 3}{m^{2} - 16}}{\frac{m^{2} - 9}{m + 4}}$
232971	Solve the Inequality for x	cos(x)>-1/2	$\cos (x) > - \frac{1}{2}$
232972	Solve for d	3(4d+1)-9d=6(2-d)	$3 (4 d + 1) - 9 d = 6 (2 - d)$
232973	Simplify	7y*(-2y^3)+9y^4	$7 y \cdot (- 2 y^{3}) + 9 y^{4}$
232974	Solve the Inequality for c	-8c+13>=47	$- 8 c + 13 \geq 47$
232975	Simplify	((x^4y)/(x^3y^-5))^3	${(\frac{x^{4} y}{x^{3} y^{- 5}})}^{3}$
232976	Solve for x	(-x)/4=-11/2	$\frac{- x}{4} = - \frac{11}{2}$
232977	Divide Using Long Polynomial Division	9x^3+18x^2+23x+30 divided by 3x+5	$9 x^{3} + 18 x^{2} + 23 x + 30$ divided by $3 x + 5$
232978	Solve for x	x/2-(x+2)/7=3	$\frac{x}{2} - \frac{x + 2}{7} = 3$
232979	Simplify	(6x^3)/(x^3)*r^4	$\frac{6 x^{3}}{x^{3}} \cdot r^{4}$
232980	Solve the Absolute Value Inequality for v	\|4v-9\|<=27	$\| 4 v - 9 \| \leq 27$
232981	Graph Using a Table of Values	y=x^-3	$y = x^{- 3}$
232982	Simplify	square root of (4a^4b^2)/(16a^2)	$\sqrt{\frac{4 a^{4} b^{2}}{16 a^{2}}}$
232983	Solve the System of Equations	5x=-3y-31 2y=-4x-22	$5 x = - 3 y - 31$ $2 y = - 4 x - 22$
232984	Graph	y<=x+1 y<-x/2-1	$y \leq x + 1$ $y < - \frac{x}{2} - 1$
232985	Simplify	b^-21*4^-15	$b^{- 21} \cdot 4^{- 15}$
232986	Write in Standard Form	(4i)/( square root of 2+i)	$\frac{4 i}{\sqrt{2} + i}$
232987	Solve for x	x+0.60(15)=0.80(x+15)	$x + 0.6 (15) = 0.8 (x + 15)$
232988	Convert to Radical Form	-4 square root of 6- square root of 6	$- 4 \sqrt{6} - \sqrt{6}$
232989	Simplify	(16^(-1/6)*9^(1/6))^2	${(16^{- \frac{1}{6}} \cdot 9^{\frac{1}{6}})}^{2}$
232990	Solve the Rational Equation for x	-2=3-7 fifth root of x^2	$- 2 = 3 - 7 \sqrt[5]{x^{2}}$
232991	Solve for l	a=l*w	$a = l \cdot w$
232992	Simplify	4*2^x	$4 \cdot 2^{x}$
232993	Solve for m	15m(m+4)=26m-15	$15 m (m + 4) = 26 m - 15$
232994	Solve for x	4(5-7x)=6-12x	$4 (5 - 7 x) = 6 - 12 x$
232995	Simplify the Radical Expression	fourth root of cube root of 81	$\sqrt[4]{\sqrt[3]{81}}$
232996	Expand the Logarithmic Expression	log base b of x^4 cube root of y	$\log_{b} (x^{4} \sqrt[3]{y})$
232997	Simplify	(14x)/(-2x^7)	$\frac{14 x}{- 2 x^{7}}$
232998	Solve by Factoring	(x^2-6)(x^2+1)=0	$(x^{2} - 6) (x^{2} + 1) = 0$
232999	Write the Fraction in Simplest Form	5/9*6	$\frac{5}{9} \cdot 6$
233000	Simplify	4/x-(5x)/2	$\frac{4}{x} - \frac{5 x}{2}$