Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232901	Find the Domain and Range	2(1/2)^(x+1)+2	$2 {(\frac{1}{2})}^{x + 1} + 2$
232902	Simplify	(3x+2)/(x+4)+(x-1)/(x^2+x-12)	$\frac{3 x + 2}{x + 4} + \frac{x - 1}{x^{2} + x - 12}$
232903	Divide	(3x^3y^4-9x^5y^6+6x^3y^3)/(6x^3y^2)	$\frac{3 x^{3} y^{4} - 9 x^{5} y^{6} + 6 x^{3} y^{3}}{6 x^{3} y^{2}}$
232904	Solve Over the Interval	3=tan(2x-pi) in (pi/2,(3pi)/4)	$3 = \tan (2 x - π)$ in $(\frac{π}{2}, \frac{3 π}{4})$
232905	Multiply	-1/4*(-9/2)	$- \frac{1}{4} \cdot (- \frac{9}{2})$
232906	Evaluate	(pi/2)÷2pi	$\frac{π}{2} \div 2 π$
232907	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $- \frac{1}{3}$ ?
232908	Graph	{(-1,1/2),(-1/2,-1),(3/2,0),(2,3/2)}	${(- 1, \frac{1}{2}), (- \frac{1}{2}, - 1), (\frac{3}{2}, 0), (2, \frac{3}{2})}$
232909	Convert to a Percentage	0.3 of 14	$0.3$ of $14$
232910	Multiply	[[0,2,3,-1],[2,-2,1,-2]][[-1],[-4],[0],[0]]	$[\begin{array}{c} 0 & 2 & 3 & - 1 \\ 2 & - 2 & 1 & - 2 \end{array}] [\begin{array}{c} - 1 \\ - 4 \\ 0 \\ 0 \end{array}]$
232911	Determine if Linear	y^3=x	$y^{3} = x$
232912	Solve the System of Equations	9x+2y=5 y-2x+3=0	$9 x + 2 y = 5$ $y - 2 x + 3 = 0$
232913	Graph	y>-5x^2 y>3x^2-2	$y > - 5 x^{2}$ $y > 3 x^{2} - 2$
232914	Simplify the Radical Expression	square root of 144- square root of -50- square root of 49- square root of -98	$\sqrt{144} - \sqrt{- 50} - \sqrt{49} - \sqrt{- 98}$
232915	Simplify the Radical Expression	( square root of 3t^2s^3)/(4 square root of 5ts^3)	$\frac{\sqrt{3 t^{2} s^{3}}}{4 \sqrt{5 t s^{3}}}$
232916	Simplify	((2x^0y^3)^-3)/(x^3y^4*2x^2y^0)	$\frac{{(2 x^{0} y^{3})}^{- 3}}{x^{3} y^{4} \cdot 2 x^{2} y^{0}}$
232917	Solve for x	square root of x^2-5x=6	$\sqrt{x^{2}} - 5 x = 6$
232918	Simplify the Radical Expression	1/( square root of x^3)	$\frac{1}{\sqrt{x^{3}}}$
232919	Solve the System of Inequalities	x<3 and x>-4	$x < 3$ and $x > - 4$
232920	Find the Inverse	f(x)=(3x)^(-2/3) on the domain x>0	$f (x) = {(3 x)}^{- \frac{2}{3}}$ on the domain $x > 0$
232921	Simplify	25x-3(4(x+6)-3)	$25 x - 3 (4 (x + 6) - 3)$
232922	Simplify	10(5g+2h-3)-4(3g-4h+2)	$10 (5 g + 2 h - 3) - 4 (3 g - 4 h + 2)$
232923	Evaluate	-3 11/12-3 1/3	$- 3 \frac{11}{12} - 3 \frac{1}{3}$
232924	Simplify	(18xy^3z^2)(x^3yz^5)^3(z^6)^2	$(18 x y^{3} z^{2}) {(x^{3} y z^{5})}^{3} {(z^{6})}^{2}$
232925	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	$\log_{2} (z) + 2 \log_{2} (x) + 4 \log_{9} (y) + 12 \log_{9} (x) - 2 \log_{2} (y)$
232926	Evaluate	(4(1-(5-2)^3))/(2^3)	$\frac{4 (1 - {(5 - 2)}^{3})}{2^{3}}$
232927	Graph	f(x)=1/3e^x	$f (x) = \frac{1}{3} e^{x}$
232928	Solve for x	4x+2-x=2x+7	$4 x + 2 - x = 2 x + 7$
232929	Solve the Inequality for g	7/10>4/5+g	$\frac{7}{10} > \frac{4}{5} + g$
232930	Simplify	9x^5+3x(4x^4-3x^2)^2	$9 x^{5} + 3 x {(4 x^{4} - 3 x^{2})}^{2}$
232931	Solve the Inequality for m	1/5(4m+10)<4/5m+2	$\frac{1}{5} (4 m + 10) < \frac{4}{5} m + 2$
232932	Write in Slope-Intercept Form	(3,-5) and (5,-1)	$(3, - 5)$ and $(5, - 1)$
232933	Evaluate	-csc((3pi)/4)	$- \csc (\frac{3 π}{4})$
232934	Factor	(8xy+14y)	$(8 x y + 14 y)$
232935	Find the Holes in the Graph	f(x)=(x^2-x-12)/(x^2+x-6)	$f (x) = \frac{x^{2} - x - 12}{x^{2} + x - 6}$
232936	Find the Excluded Values	(x^2-25)/(3x-7)	$\frac{x^{2} - 25}{3 x - 7}$
232937	Evaluate	12-((6-4)+(8-15))-(4-(3+2)-(1-7))	$12 - ((6 - 4) + (8 - 15)) - (4 - (3 + 2) - (1 - 7))$
232938	Evaluate	32% of 50	$32 %$ of $50$
232939	Solve for w	f=w+7m	$f = w + 7 m$
232940	Factor	(x-1)/(x^2+x-6)-(x-2)/(x^2+4x+3)	$\frac{x - 1}{x^{2} + x - 6} - \frac{x - 2}{x^{2} + 4 x + 3}$
232941	Simplify	(6x^-1y^(7/2))/( square root of 16x^2y^2)	$\frac{6 x^{- 1} y^{\frac{7}{2}}}{\sqrt{16 x^{2} y^{2}}}$
232942	Solve the Rational Equation for x	-7/(4x)+5/(6x)=1	$- \frac{7}{4 x} + \frac{5}{6 x} = 1$
232943	Evaluate	(1/x-1/y)/(1/x+1/y)	$\frac{\frac{1}{x} - \frac{1}{y}}{\frac{1}{x} + \frac{1}{y}}$
232944	Graph	f(x)=-x/2+5/2	$f (x) = - \frac{x}{2} + \frac{5}{2}$
232945	Simplify	( cube root of 16* cube root of 8)/( cube root of 2)	$\frac{\sqrt[3]{16} \cdot \sqrt[3]{8}}{\sqrt[3]{2}}$
232946	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 $- \frac{3}{4}$ ?
232947	Evaluate	10/(3/(1/6))-(2.8+1.2)	$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$
232948	Solve for x	5(x-2)<=4x-5	$5 (x - 2) \leq 4 x - 5$
232949	Simplify the Radical Expression	4 square root of 8* square root of 2	$4 \sqrt{8} \cdot \sqrt{2}$
232950	Solve the Inequality for x	-3(x-3)<-2x-x+1	$- 3 (x - 3) < - 2 x - x + 1$
232951	Simplify	(27x^3+18x-36)/-9	$\frac{27 x^{3} + 18 x - 36}{- 9}$
232952	Simplify	limit as x approaches infinity of (2x+3)/(5x^2+4)	$lim_{x \to \infty} \frac{2 x + 3}{5 x^{2} + 4}$
232953	Divide	((x^2-25)/(x^2-10x+25))÷((x^2+10x+25)/(2x-10))	$\frac{x^{2} - 25}{x^{2} - 10 x + 25} \div \frac{x^{2} + 10 x + 25}{2 x - 10}$
232954	Solve for x	(x^2-2)^2+18=9x^2-18	${(x^{2} - 2)}^{2} + 18 = 9 x^{2} - 18$
232955	Simplify	36-(-(9c-15))	$36 - (- (9 c - 15))$
232956	Simplify	(x+1)/(x^3-x)	$\frac{x + 1}{x^{3} - x}$
232957	Simplify	(x^6)^(3/4)	${(x^{6})}^{\frac{3}{4}}$
232958	Convert to Scientific Notation	(10^8)/(10^4)	$\frac{10^{8}}{10^{4}}$
232959	Graph	1/3x+2x>=-3	$\frac{1}{3} x + 2 x \geq - 3$
232960	Simplify the Radical Expression	( sixth root of j^5)/( fifth root of j^4)	$\frac{\sqrt[6]{j^{5}}}{\sqrt[5]{j^{4}}}$
232961	Divide Using Long Polynomial Division	(4x^3)÷(2x)	$(4 x^{3}) \div (2 x)$
232962	Simplify	(4x+8)/x*5/(x+2)	$\frac{4 x + 8}{x} \cdot \frac{5}{x + 2}$
232963	Solve the System of Equations	5x+6y=26 and -x+y=-14	$5 x + 6 y = 26$ and $- x + y = - 14$
232964	Find g(h(x))	g(x)=2x and h(x)=x^2+4	$g (x) = 2 x$ and $h (x) = x^{2} + 4$
232965	Combine Like Terms	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
232966	Multiply	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
232967	Simplify	(7mn^2)(-15m^-4n^3)	$(7 m n^{2}) (- 15 m^{- 4} n^{3})$
232968	Evaluate	(5+2^3)^2-5^2	${(5 + 2^{3})}^{2} - 5^{2}$
232969	Solve the Inequality for x	a(bx-c)>=bc	$a (b x - c) \geq b c$
232970	Evaluate	1320*1/(2pi)	$1320 \cdot \frac{1}{2 π}$
232971	Solve for n	(n+6)/(n-7)=2s	$\frac{n + 6}{n - 7} = 2 s$
232972	Solve for θ	0<=theta<=2pi	$0 \leq θ \leq 2 π$
232973	Write in Standard Form	(2y^2-5y+3)+(y^2-2y-5)	$(2 y^{2} - 5 y + 3) + (y^{2} - 2 y - 5)$
232974	Simplify	square root of 3^3 square root of 2	$\sqrt{3^{3}} \sqrt{2}$
232975	Simplify	4p^2+2q-3p^2-3q+pq	$4 p^{2} + 2 q - 3 p^{2} - 3 q + p q$
232976	Multiply	x/3*2	$\frac{x}{3} \cdot 2$
232977	Simplify	-(6x+3y)-(x+y)	$- (6 x + 3 y) - (x + y)$
232978	Find the Distance Between Two Points	(3,pi/2) , (8,(4pi)/3)	$(3, \frac{π}{2})$ , $(8, \frac{4 π}{3})$
232979	Simplify	3x^2y+7xy^2+2x^2y-9xy^2	$3 x^{2} y + 7 x y^{2} + 2 x^{2} y - 9 x y^{2}$
232980	Solve for d	d=( square root of 43)^2	$d = {(\sqrt{43})}^{2}$
232981	Find the Equation Using Point-Slope Formula	(-2,6) and (1,1)	$(- 2, 6)$ and $(1, 1)$
232982	Solve for c	167=8c^3-9	$167 = 8 c^{3} - 9$
232983	Find the x and y Intercepts	y=1/8x^(3/2)-8	$y = \frac{1}{8} x^{\frac{3}{2}} - 8$
232984	Simplify the Radical Expression	3x cube root of 648x^4y^8	$3 x \sqrt[3]{648 x^{4} y^{8}}$
232985	Simplify the Radical Expression	( fourth root of p^7q^10)/( fourth root of p^2q^2)	$\frac{\sqrt[4]{p^{7} q^{10}}}{\sqrt[4]{p^{2} q^{2}}}$
232986	Evaluate	((m+3)/(m^2-16))/((m^2-9)/(m+4))	$\frac{\frac{m + 3}{m^{2} - 16}}{\frac{m^{2} - 9}{m + 4}}$
232987	Solve the Inequality for x	cos(x)>-1/2	$\cos (x) > - \frac{1}{2}$
232988	Solve for d	3(4d+1)-9d=6(2-d)	$3 (4 d + 1) - 9 d = 6 (2 - d)$
232989	Simplify	7y*(-2y^3)+9y^4	$7 y \cdot (- 2 y^{3}) + 9 y^{4}$
232990	Solve the Inequality for c	-8c+13>=47	$- 8 c + 13 \geq 47$
232991	Simplify	((x^4y)/(x^3y^-5))^3	${(\frac{x^{4} y}{x^{3} y^{- 5}})}^{3}$
232992	Solve for x	(-x)/4=-11/2	$\frac{- x}{4} = - \frac{11}{2}$
232993	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 $3 x + 5$
232994	Solve for x	x/2-(x+2)/7=3	$\frac{x}{2} - \frac{x + 2}{7} = 3$
232995	Simplify	(6x^3)/(x^3)*r^4	$\frac{6 x^{3}}{x^{3}} \cdot r^{4}$
232996	Solve the Absolute Value Inequality for v	\|4v-9\|<=27	$\| 4 v - 9 \| \leq 27$
232997	Graph Using a Table of Values	y=x^-3	$y = x^{- 3}$
232998	Simplify	square root of (4a^4b^2)/(16a^2)	$\sqrt{\frac{4 a^{4} b^{2}}{16 a^{2}}}$
232999	Solve the System of Equations	5x=-3y-31 2y=-4x-22	$5 x = - 3 y - 31$ $2 y = - 4 x - 22$
233000	Graph	y<=x+1 y<-x/2-1	$y \leq x + 1$ $y < - \frac{x}{2} - 1$