Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173001	Find the Roots (Zeros)	f(t)=t^2(3t^2-11t+8)	$f (t) = t^{2} (3 t^{2} - 11 t + 8)$
173002	Graph	y=x/(\|x\|)	$y = \frac{x}{\| x \|}$
173003	Graph	(-3,-pi/4)	$(- 3, - \frac{π}{4})$
173004	Solve for p	13+3p+10=23+3p	$13 + 3 p + 10 = 23 + 3 p$
173005	Factor	10xy+0.25x^2+100y^2	$10 x y + 0.25 x^{2} + 100 y^{2}$
173006	Solve for x	5(2x-6)=22+3+5x	$5 (2 x - 6) = 22 + 3 + 5 x$
173007	Simplify	(5 square root of 7)/( square root of 35)	$\frac{5 \sqrt{7}}{\sqrt{35}}$
173008	Evaluate	1/( square root of e)	$\frac{1}{\sqrt{e}}$
173009	Solve for c	(3c)/8=(c+4)/4	$\frac{3 c}{8} = \frac{c + 4}{4}$
173010	Solve for x	11/4-5/(x+3)=23/12	$\frac{11}{4} - \frac{5}{x + 3} = \frac{23}{12}$
173011	Graph Using a Table of Values	f(x)=(2x+6)/(x+4)	$f (x) = \frac{2 x + 6}{x + 4}$
173012	Find the Domain and Range	y = cube root of 1-x^2	$y = \sqrt[3]{1 - x^{2}}$
173013	Solve for k	4k-6=-2k-16-2	$4 k - 6 = - 2 k - 16 - 2$
173014	Convert to Interval Notation	{x\|5<=x<7}	${x \| 5 \leq x < 7}$
173015	Multiply	-1/4*1	$- \frac{1}{4} \cdot 1$
173016	Solve for x	9/(x-4)=-12/(x+10)	$\frac{9}{x - 4} = \frac{- 12}{x + 10}$
173017	Simplify	(3x)/(x+5)+(4x)/(x+5)-(6x)/(x+5)	$\frac{3 x}{x + 5} + \frac{4 x}{x + 5} - \frac{6 x}{x + 5}$
173018	Simplify	- square root of 9+ square root of -12- square root of 16+ square root of -192	$- \sqrt{9} + \sqrt{- 12} - \sqrt{16} + \sqrt{- 192}$
173019	Solve for v	-9<=7-8v	$- 9 \leq 7 - 8 v$
173020	Solve for d	3-5\|2d-3\|=4	$3 - 5 \| 2 d - 3 \| = 4$
173021	Simplify	cot(x)^2(sec(x)^2-1)	$\cot^{2} (x) (\sec^{2} (x) - 1)$
173022	Solve for u	-5u=-3	$- 5 u = - 3$
173023	Simplify	(9+52i)-(1)	$(9 + 52 i) - (1)$
173024	Solve the Inequality for y	x-3y>=6	$x - 3 y \geq 6$
173025	Graph	y=ctgx	$y = c t g x$
173026	Solve for w	5/6w+21=-1/3(2w-9)	$\frac{5}{6} w + 21 = - \frac{1}{3} (2 w - 9)$
173027	Solve for x	3x^2+x=0	$3 x^{2} + x = 0$
173028	Simplify	( square root of -100)( square root of 36)	$(\sqrt{- 100}) (\sqrt{36})$
173029	Find the Exact Value	2sin(22.5 degrees )cos(22.5 degrees )	$2 \sin (22.5 °) \cos (22.5 °)$
173030	Simplify	(-3x)/4-(x+1)/(x^2-1)	$\frac{- 3 x}{4} - \frac{x + 1}{x^{2} - 1}$
173031	Convert to a Decimal	-120deg	$- 120$ degrees
173032	Solve for n	1/3(n+1)=1/6(3n-5)	$\frac{1}{3} (n + 1) = \frac{1}{6} (3 n - 5)$
173033	Write in Standard Form	8+ square root of -25	$8 + \sqrt{- 25}$
173034	Simplify	(3a^9r^-3)/(-4(a^2)^-1)	$\frac{3 a^{9} r^{- 3}}{- 4 {(a^{2})}^{- 1}}$
173035	Solve the Inequality for x	6x+1<9-2x	$6 x + 1 < 9 - 2 x$
173036	Evaluate	pi÷3	$π \div 3$
173037	Simplify	12x square root of 900x^2y^4z^6	$12 x \sqrt{900 x^{2} y^{4} z^{6}}$
173038	Solve for u	91u+81u-74u=98	$91 u + 81 u - 74 u = 98$
173039	Solve the Absolute Value Inequality for x	2\|3x-4\|+8=6	$2 \| 3 x - 4 \| + 8 = 6$
173040	Simplify	(x^3*x^-2)/(x^-3)	$\frac{x^{3} \cdot x^{- 2}}{x^{- 3}}$
173041	Simplify	2/(sin(2theta))-(sin(theta))/(cos(theta))	$\frac{2}{\sin (2 θ)} - \frac{\sin (θ)}{\cos (θ)}$
173042	Solve for x	-(5x)/4-3/2=-1/2	$- \frac{5 x}{4} - \frac{3}{2} = - \frac{1}{2}$
173043	Find the Roots (Zeros)	p(x)=4x(x-3)(x+1)(2x-5)	$p (x) = 4 x (x - 3) (x + 1) (2 x - 5)$
173044	Factor	2x^2+x-3=0	$2 x^{2} + x - 3 = 0$
173045	Simplify	((32x^3y)/(y^8))÷((y^7)/(8x^4))	$\frac{32 x^{3} y}{y^{8}} \div \frac{y^{7}}{8 x^{4}}$
173046	Evaluate	\|pi-4\|	$\| π - 4 \|$
173047	Find the Exact Value	(63,75660)/(705,280)	$\frac{63, 756 \cdot 60}{70 \cdot 5, 280}$
173048	Find the Discriminant	-5x^2+19x+176=-7x^2-x	$- 5 x^{2} + 19 x + 176 = - 7 x^{2} - x$
173049	Simplify	(2x)/((2x)^2+1)	$\frac{2 x}{{(2 x)}^{2} + 1}$
173050	Evaluate	(8+5)*35/5+6	$(8 + 5) \times \frac{35}{5} + 6$
173051	Multiply	(x+3)/(x^2-81)*(3x-27)/(3x+9)	$\frac{x + 3}{x^{2} - 81} \cdot \frac{3 x - 27}{3 x + 9}$
173052	Solve for C	P=2C+2D for C	$P = 2 C + 2 D$ for $C$
173053	Simplify	square root of 16- square root of -36- square root of 25+ square root of -16	$\sqrt{16} - \sqrt{- 36} - \sqrt{25} + \sqrt{- 16}$
173054	Simplify	square root of 9- square root of -200+ square root of 121- square root of -50	$\sqrt{9} - \sqrt{- 200} + \sqrt{121} - \sqrt{- 50}$
173055	Graph Using a Table of Values	f(x)=6/(x-2)	$f (x) = \frac{6}{x - 2}$
173056	Evaluate	2/3(9)^(3/2)	$\frac{2}{3} {(9)}^{\frac{3}{2}}$
173057	Evaluate	square root of 2/3- square root of 3/2	$\sqrt{\frac{2}{3}} - \sqrt{\frac{3}{2}}$
173058	Evaluate	log base 1/4 of 2	$\log_{\frac{1}{4}} (2)$
173059	Solve for a	2/(a+3)-(a^2+3a-10)/(a^3+5a^2+6a)=(a-4)/(a^2+3a)	$\frac{2}{a + 3} - \frac{a^{2} + 3 a - 10}{a^{3} + 5 a^{2} + 6 a} = \frac{a - 4}{a^{2} + 3 a}$
173060	Find the Remainder	(x^4-3x^3+4x^2-6x+4)÷(x-2)	$(x^{4} - 3 x^{3} + 4 x^{2} - 6 x + 4) \div (x - 2)$
173061	Solve for y	(6y^2-2y+5)/4=(3y^2-2)/2	$\frac{6 y^{2} - 2 y + 5}{4} = \frac{3 y^{2} - 2}{2}$
173062	Find All Complex Solutions	x+5 = square root of 2x+13	$x + 5 = \sqrt{2 x + 13}$
173063	Solve the Inequality for x	square root of x^2+4x-5<4	$\sqrt{x^{2} + 4 x - 5} < 4$
173064	Subtract	-2x^2+4x-1 from 6x^2+3x-9	$- 2 x^{2} + 4 x - 1$ from $6 x^{2} + 3 x - 9$
173065	Solve for y	7/5(10y+25)=-3y+15-y	$\frac{7}{5} (10 y + 25) = - 3 y + 15 - y$
173066	Solve for y	1/y-1=6/(5y)	$\frac{1}{y} - 1 = \frac{6}{5 y}$
173067	Simplify	square root of 2* square root of 10* square root of 5	$\sqrt{2} \cdot \sqrt{10} \cdot \sqrt{5}$
173068	Solve the System of Inequalities	10n-9>-59 and n-6<=3	$10 n - 9 > - 59$ and $n - 6 \leq 3$
173069	Simplify	( square root of 35x^5)÷( square root of 7x^3)	$\sqrt{35 x^{5}} \div \sqrt{7 x^{3}}$
173070	Solve the Inequality for m	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
173071	Graph	y>\|-x+4\|+1	$y > \| - x + 4 \| + 1$
173072	Solve for t	t^3=64/27	$t^{3} = \frac{64}{27}$
173073	Graph	1/2x-2>0	$\frac{1}{2} x - 2 > 0$
173074	Find the Excluded Values	(x^2-8x+16)/(3x-12)	$\frac{x^{2} - 8 x + 16}{3 x - 12}$
173075	Solve for x	-2(x+1/4)+1=5	$- 2 (x + \frac{1}{4}) + 1 = 5$
173076	Solve for x	square root of x+7=1+x	$\sqrt{x + 7} = 1 + x$
173077	Graph	-8+x=4y-16	$- 8 + x = 4 y - 16$
173078	Find the Function	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
173079	Solve for x	5x^2=-35x	$5 x^{2} = - 35 x$
173080	Find the Roots (Zeros)	x(x-4)(x+5)(x-1)=0	$x (x - 4) (x + 5) (x - 1) = 0$
173081	Convert to Meters	8cm	$8 cm$
173082	Solve for u	(4u-7)/-7=(u-4)/4	$\frac{4 u - 7}{- 7} = \frac{u - 4}{4}$
173083	Simplify	(-7x^-3y)^2*2x^-4y^-2	${(- 7 x^{- 3} y)}^{2} \cdot 2 x^{- 4} y^{- 2}$
173084	Graph	y<=x y>=5-x	$y \leq x$ $y \geq 5 - x$
173085	Expand the Logarithmic Expression	log of (x cube root of y^5)/(z^4)	$\log (\frac{x \sqrt[3]{y^{5}}}{z^{4}})$
173086	Solve for f	D=1/2fk for f	$D = \frac{1}{2} f k$ for $f$
173087	Simplify the Radical Expression	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
173088	Simplify	(2+i)/(3-i)+(4-i)/(3+i)	$\frac{2 + i}{3 - i} + \frac{4 - i}{3 + i}$
173089	Solve by Factoring	x^2=0	$x^{2} = 0$
173090	Solve the Inequality for a	-9a-1<26	$- 9 a - 1 < 26$
173091	Factor by Grouping	4x^2-12xy+9y^2	$4 x^{2} - 12 x y + 9 y^{2}$
173092	Solve the System of Equations	12-(3x-2y)/6=3y+2 (5y-3x)/3=x-y	$12 - \frac{3 x - 2 y}{6} = 3 y + 2$ $\frac{5 y - 3 x}{3} = x - y$
173093	Graph	x+y>=2 4x+y>=-1	$x + y \geq 2$ $4 x + y \geq - 1$
173094	Solve for w	2/3+w=1 1/2	$\frac{2}{3} + w = 1 \frac{1}{2}$
173095	Simplify	(9x^(1/2))/((27x^-2)^(2/3))	$\frac{9 x^{\frac{1}{2}}}{{(27 x^{- 2})}^{\frac{2}{3}}}$
173096	Solve for x	square root of 8x+5 = square root of 5x+6	$\sqrt{8 x + 5} = \sqrt{5 x + 6}$
173097	Solve for x	5(x+3)-5(x^2-1)=x^2+7(3-x)-1	$5 (x + 3) - 5 (x^{2} - 1) = x^{2} + 7 (3 - x) - 1$
173098	Find All Complex Solutions	2sin(x)+sin(2x)=0	$2 \sin (x) + \sin (2 x) = 0$
173099	Simplify	16-(2-3i)-i	$16 - (2 - 3 i) - i$
173100	Solve the Inequality for x	x^2<=4x-2	$x^{2} \leq 4 x - 2$