Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175901	Simplify	3(x+2)(x^2-x-8)	$3 (x + 2) (x^{2} - x - 8)$
175902	Simplify	(2-3i)/(2+i)	$\frac{2 - 3 i}{2 + i}$
175903	Evaluate	f(x)=(3/4)^2	$f (x) = {(\frac{3}{4})}^{2}$
175904	Simplify	-5/-4	$\frac{- 5}{- 4}$
175905	Write in Slope-Intercept Form	(9,-2) , (1,6)	$(9, - 2)$ , $(1, 6)$
175906	Find the Product	(m+3)^3	${(m + 3)}^{3}$
175907	Solve for x	4x=-4r+2d ; for x	$4 x = - 4 r + 2 d$ ; for $x$
175908	Graph	y square root of x	$y \sqrt{x}$
175909	Write in Standard Form	y=1	$y = 1$
175910	Graph	F(x)=1/2x^4+x^3+x	$F (x) = \frac{1}{2} x^{4} + x^{3} + x$
175911	Write in Standard Form	2-8x+2x^2=4-3x^2-3x	$2 - 8 x + 2 x^{2} = 4 - 3 x^{2} - 3 x$
175912	Solve the System of Equations	x-3y-z=-6 -x+8y-4z=16 2x-15y+7z=-30	$x - 3 y - z = - 6$ $- x + 8 y - 4 z = 16$ $2 x - 15 y + 7 z = - 30$
175913	Solve for a	3a+4b=5a-t	$3 a + 4 b = 5 a - t$
175914	Graph	f(x)=-2(x-4)(x^2-1)	$f (x) = - 2 (x - 4) (x^{2} - 1)$
175915	Solve for x	3x-5/(x+4)=2x	$3 x - \frac{5}{x + 4} = 2 x$
175916	Solve Using the Quadratic Formula	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
175917	Combine Like Terms	(2x^3+4x^5)^2	${(2 x^{3} + 4 x^{5})}^{2}$
175918	Write in Exponential Form	( square root of 7x)^3	${(\sqrt{7 x})}^{3}$
175919	Simplify	(x^3-2x^2+x)/(x^3-x)	$\frac{x^{3} - 2 x^{2} + x}{x^{3} - x}$
175920	Find the Second Term	2n^2	$2 n^{2}$
175921	Solve the Absolute Value Inequality for s	\|2s\|+19=13	$\| 2 s \| + 19 = 13$
175922	Simplify	xy^3 square root of 25x^2y^4	$x y^{3} \sqrt{25 x^{2} y^{4}}$
175923	Graph	g(x)=1/20x(x-100)	$g (x) = \frac{1}{20} x (x - 100)$
175924	Evaluate	(2+62+2-4)2	$(2 + 6 \times 2 + 2 - 4) \times 2$
175925	Simplify	x square root of 36x^5y^4	$x \sqrt{36 x^{5} y^{4}}$
175926	Solve for x	6x+18=h(3x+9)	$6 x + 18 = h (3 x + 9)$
175927	Evaluate	2(-1/4)	$2 (- \frac{1}{4})$
175928	Solve for h	d=gh-f	$d = g h - f$
175929	Solve for m	2m-3(m+1)=4(m+3)	$2 m - 3 (m + 1) = 4 (m + 3)$
175930	Simplify	(100y^3)/(98xy)	$\frac{100 y^{3}}{98 x y}$
175931	Evaluate	(5!2!)/(6!4!)	$\frac{5! 2!}{6! 4!}$
175932	Simplify	(x^2y^2z^2)/(4y^4)	$\frac{x^{2} y^{2} z^{2}}{4 y^{4}}$
175933	Simplify	-2ab^2+3ab-2ab^2+4a^2b-5ab+3a^2b	$- 2 a b^{2} + 3 a b - 2 a b^{2} + 4 a^{2} b - 5 a b + 3 a^{2} b$
175934	Find All Complex Solutions	4^x=256	$4^{x} = 256$
175935	Evaluate	(3-0)^2	${(3 - 0)}^{2}$
175936	Evaluate	25% of 80	$25 %$ of $80$
175937	Simplify the Radical Expression	-81^(1/4)	$- 81^{\frac{1}{4}}$
175938	Simplify	4 square root of 12- square root of 3+4 square root of 6+3 square root of 4	$4 \sqrt{12} - \sqrt{3} + 4 \sqrt{6} + 3 \sqrt{4}$
175939	Solve Using the Quadratic Formula	5(x-9)^2=20	$5 {(x - 9)}^{2} = 20$
175940	Solve for θ	16cos(theta)^2=4	$16 \cos^{2} (θ) = 4$
175941	Solve the Inequality for x	x^2+4x>5	$x^{2} + 4 x > 5$
175942	Simplify	- square root of 5* square root of 20	$- \sqrt{5} \cdot \sqrt{20}$
175943	Solve for t	2t^5+2t^4-144t^3=0	$2 t^{5} + 2 t^{4} - 144 t^{3} = 0$
175944	Evaluate	7^(1/4-1)	$7^{\frac{1}{4} - 1}$
175945	Solve the System of Inequalities	2x-9<-27 or -21<2x-9	$2 x - 9 < - 27$ or $- 21 < 2 x - 9$
175946	Find the Inverse	f(x)=2+1/(x+3)	$f (x) = 2 + \frac{1}{x + 3}$
175947	Solve the Inequality for x	(x-1)/(x+3)>=0	$\frac{x - 1}{x + 3} \geq 0$
175948	Solve for d₂	a=1/2d_1d_2	$a = \frac{1}{2} d_{1} d_{2}$
175949	Find f(g(x))	f(x)=(x-3)/2 g(x)=2x+3	$f (x) = \frac{x - 3}{2}$ $g (x) = 2 x + 3$
175950	Solve the Inequality for p	p+4<10	$p + 4 < 10$
175951	Find the Midpoint	(-3,8) and (-8,2)	$(- 3, 8)$ and $(- 8, 2)$
175952	Simplify	(1-cos(x)^2)(cot(x)^2+1)	$(1 - \cos^{2} (x)) (\cot^{2} (x) + 1)$
175953	Solve for y	3(2+y)-y=6+2(y+1)	$3 (2 + y) - y = 6 + 2 (y + 1)$
175954	Factor	P(x)=x^3-12x-16	$P (x) = x^{3} - 12 x - 16$
175955	Evaluate	((5^2)/4)^4	${(\frac{5^{2}}{4})}^{4}$
175956	Simplify	y square root of 125x^5y^6	$y \sqrt{125 x^{5} y^{6}}$
175957	Multiply	1/x*x^2	$\frac{1}{x} \cdot x^{2}$
175958	Divide	(1+i)/(3+4i)	$\frac{1 + i}{3 + 4 i}$
175959	Find All Complex Solutions	-13x+12=13x+13	$- 13 x + 12 = 13 x + 13$
175960	Solve the Inequality for x	-2x+5>=4x-19	$- 2 x + 5 \geq 4 x - 19$
175961	Graph	f^-1(x)=x/2-2	$f^{- 1} (x) = \frac{x}{2} - 2$
175962	Simplify	(-2+ square root of -8)+(5- square root of -50)	$(- 2 + \sqrt{- 8}) + (5 - \sqrt{- 50})$
175963	Factor	a^2-2a^3+3a^4-4a^5+6a^6	$a^{2} - 2 a^{3} + 3 a^{4} - 4 a^{5} + 6 a^{6}$
175964	Write in Slope-Intercept Form	5x-5y>=70	$5 x - 5 y \geq 70$
175965	Solve for n	\|n-1\|+1=0	$\| n - 1 \| + 1 = 0$
175966	Solve the System of Equations	-2x+y=-6 4x+3y=2	$- 2 x + y = - 6$ $4 x + 3 y = 2$
175967	Solve for d	5+1.5(2d-1)=0.5	$5 + 1.5 (2 d - 1) = 0.5$
175968	Solve the Inequality for x	3x-2<10	$3 x - 2 < 10$
175969	Graph	x>=0 y>=0	$x \geq 0$ $y \geq 0$
175970	Solve the System of Inequalities	-6x+1>-5 and 3x+4>=1	$- 6 x + 1 > - 5$ and $3 x + 4 \geq 1$
175971	Graph	y-x>-x^2-1	$y - x > - x^{2} - 1$
175972	Simplify	10/(-i)	$\frac{10}{- i}$
175973	Graph	y=(-x-4)^3	$y = {(- x - 4)}^{3}$
175974	Graph	y>=2/3x-1/3	$y \geq \frac{2}{3} x - \frac{1}{3}$
175975	Find the Product	(3x+7)(3x-7)	$(3 x + 7) (3 x - 7)$
175976	Solve Using the Quadratic Formula	3x(x-2)=12x	$3 x (x - 2) = 12 x$
175977	Simplify	y square root of 12x^4y^7	$y \sqrt{12 x^{4} y^{7}}$
175978	Solve the Absolute Value Inequality for x	\|2x+1\|=5	$\| 2 x + 1 \| = 5$
175979	Graph	-1/5x^2+2x	$- \frac{1}{5} x^{2} + 2 x$
175980	Graph	f(x)=3x if x<0; -3x if x>=0	$f (x) = {\begin{cases} 3 x & x < 0 \\ - 3 x & x \geq 0 \end{cases}$
175981	Solve the Inequality for x	x^4>25x^2	$x^{4} > 25 x^{2}$
175982	Solve for x	-2/5=x-1/2(3x-8)	$- \frac{2}{5} = x - \frac{1}{2} (3 x - 8)$
175983	Simplify	(7z+5)/(z^2-1)-(-2z^2+7z+7)/(-z^2+1)	$\frac{7 z + 5}{z^{2} - 1} - \frac{- 2 z^{2} + 7 z + 7}{- z^{2} + 1}$
175984	Solve the Inequality for x	-2/3x-10<1/3	$- \frac{2}{3} x - 10 < \frac{1}{3}$
175985	Solve for y	3y-21=12x	$3 y - 21 = 12 x$
175986	Find the Holes in the Graph	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
175987	Solve the System of Equations	y=4x-1 and y=-x+4	$y = 4 x - 1$ and $y = - x + 4$
175988	Simplify	(4a^2(a^3))/(16b(b^2))	$\frac{4 a^{2} (a^{3})}{16 b (b^{2})}$
175989	Solve the Inequality for x	x^2<=2x+1	$x^{2} \leq 2 x + 1$
175990	Simplify	7 square root of 24+ square root of 90-8 square root of 54	$7 \sqrt{24} + \sqrt{90} - 8 \sqrt{54}$
175991	Expand the Logarithmic Expression	log of (z^3 cube root of x^5)/(y^2)	$\log (\frac{z^{3} \sqrt[3]{x^{5}}}{y^{2}})$
175992	Solve for g	3/2(1/3g-4)=2(3/2g+3)	$\frac{3}{2} (\frac{1}{3} g - 4) = 2 (\frac{3}{2} g + 3)$
175993	Solve for x	1/4(5x+16/3)-2/3(3/4x+1/2)=-5	$\frac{1}{4} (5 x + \frac{16}{3}) - \frac{2}{3} (\frac{3}{4} x + \frac{1}{2}) = - 5$
175994	Graph	p(x)=(x+1)^2(2x+5)(x-3)^2	$p (x) = {(x + 1)}^{2} (2 x + 5) {(x - 3)}^{2}$
175995	Solve the System of Inequalities	-5x-2<=43 and -42<=-5x-2	$- 5 x - 2 \leq 43$ and $- 42 \leq - 5 x - 2$
175996	Solve for u	-1/5(10-20u)-u=1/3(6u-12)	$- \frac{1}{5} (10 - 20 u) - u = \frac{1}{3} (6 u - 12)$
175997	Solve for x	5 1/2x+2/3x=37	$5 \frac{1}{2} x + \frac{2}{3} x = 37$
175998	Solve the Inequality for x	(x-6)/(x+5)>=(x+7)/(x+3)	$\frac{x - 6}{x + 5} \geq \frac{x + 7}{x + 3}$
175999	Solve for y	2+16y=3x+4	$2 + 16 y = 3 x + 4$
176000	Simplify	33^113^z	$3 \cdot 3^{11} \cdot 3^{z}$