Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223001	Find the Roots (Zeros)	3x(x+4)(2x-3)(x-9)	$3 x (x + 4) (2 x - 3) (x - 9)$
223002	Simplify	- square root of (x^2)/4	$- \sqrt{\frac{x^{2}}{4}}$
223003	Solve for x	3(x-5)<=x-8	$3 (x - 5) \leq x - 8$
223004	Multiply	(4r^0)^4	${(4 r^{0})}^{4}$
223005	Find the Parabola with Focus (5,-5) and Directrix y=-4	(5,-5) y=-4	$(5, - 5)$ $y = - 4$
223006	Solve Over the Interval	cot(x)=-1 , (3pi)/2<=x<=2pi	$\cot (x) = - 1$ , $\frac{3 π}{2} \leq x \leq 2 π$
223007	Simplify	(2x^3+x^2-3x)/(3x^2-5x+2)	$\frac{2 x^{3} + x^{2} - 3 x}{3 x^{2} - 5 x + 2}$
223008	Simplify	(2pq^2r^3)(5q^3r^4s)	$(2 p q^{2} r^{3}) (5 q^{3} r^{4} s)$
223009	Multiply	(y^2-10y+9)/(y^2-1)*(y+4)/(y^2-5y-36)	$\frac{y^{2} - 10 y + 9}{y^{2} - 1} \cdot \frac{y + 4}{y^{2} - 5 y - 36}$
223010	Solve the Inequality for x	x^2>2	$x^{2} > 2$
223011	Factor	x^2+ax-a^2y-axy	$x^{2} + a x - a^{2} y - a x y$
223012	Simplify	2/3(6x+3)	$\frac{2}{3} (6 x + 3)$
223013	Divide	(r^4-r^2+4)÷(r^2-r+2)	$(r^{4} - r^{2} + 4) \div (r^{2} - r + 2)$
223014	Graph	x=(y+1)^3-2	$x = {(y + 1)}^{3} - 2$
223015	Solve the Inequality for z	6z+4-8+2z<-20	$6 z + 4 - 8 + 2 z < - 20$
223016	Solve for y	(3y^(3/2))^2=576x	${(3 y^{\frac{3}{2}})}^{2} = 576 x$
223017	Write in Slope-Intercept Form	3x-1/2y=2	$3 x - \frac{1}{2} y = 2$
223018	Simplify	1/4(36a+b)	$\frac{1}{4} (36 a + b)$
223019	Simplify	limit as x approaches 2 of (x^5-32)/(x^3-8)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{3} - 8}$
223020	Find the x and y Intercepts	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
223021	Write the Fraction in Simplest Form	(-2(v^-1)^2)/(-5v)	$\frac{- 2 {(v^{- 1})}^{2}}{- 5 v}$
223022	Graph	h(p)=6p-p^3-2	$h (p) = 6 p - p^{3} - 2$
223023	Simplify	(3 square root of 5)/( square root of 8)	$\frac{3 \sqrt{5}}{\sqrt{8}}$
223024	Graph	f(x)=2x+2\|x\|	$f (x) = 2 x + 2 \| x \|$
223025	Solve for x	2(3x-4)=4(1/2x-8)	$2 (3 x - 4) = 4 (\frac{1}{2} x - 8)$
223026	Solve the System of Equations	12y-8xy-3y^2=0 12x-6xy-4x^2=0	$12 y - 8 x y - 3 y^{2} = 0$ $12 x - 6 x y - 4 x^{2} = 0$
223027	Simplify	(4-x square root of 7)^2	${(4 - x \sqrt{7})}^{2}$
223028	Write in Standard Form	(4x^2+7x-5)(-3x^2+x-1)	$(4 x^{2} + 7 x - 5) (- 3 x^{2} + x - 1)$
223029	Solve for p	5/12+p=7/12	$\frac{5}{12} + p = \frac{7}{12}$
223030	Simplify	(e^(1/2))(e^(1/2))	$(e^{\frac{1}{2}}) (e^{\frac{1}{2}})$
223031	Graph	h(x)=-3x^3+x^2-x+3	$h (x) = - 3 x^{3} + x^{2} - x + 3$
223032	Solve for y	(3^3)/(3^y)=1/9	$\frac{3^{3}}{3^{y}} = \frac{1}{9}$
223033	Find the Midpoint	What is the midpoint of the points (0,5) and (0,-3) ?	What is the midpoint of the points $(0, 5)$ and $(0, - 3)$ ?
223034	Evaluate the Function	f(x)=5x-2x^3-2 is concave down at x=1	$f (x) = 5 x - 2 x^{3} - 2$ is concave down at $x = 1$
223035	Find All Complex Solutions	9z^2-30z+26=1	$9 z^{2} - 30 z + 26 = 1$
223036	Find the x and y Intercepts	f(x)=-1/2 square root of x	$f (x) = - \frac{1}{2} \sqrt{x}$
223037	Solve by Factoring	16x^2+4=0	$16 x^{2} + 4 = 0$
223038	Solve the Rational Equation for x	2/(x-3)-4/(x+3)=8/(x^2-9)	$\frac{2}{x - 3} - \frac{4}{x + 3} = \frac{8}{x^{2} - 9}$
223039	Simplify the Radical Expression	(x^3)^(3/2)	${(x^{3})}^{\frac{3}{2}}$
223040	Evaluate	(10c^6d^-5)(2c^-5d^4)	$(10 c^{6} d^{- 5}) (2 c^{- 5} d^{4})$
223041	Solve for x	x/( cube root of 0.5t) = cube root of 0.2t	$\frac{x}{\sqrt[3]{0.5 t}} = \sqrt[3]{0.2 t}$
223042	Write in Slope-Intercept Form	(-6,-4) and (12,11)	$(- 6, - 4)$ and $(12, 11)$
223043	Simplify	(4x^2)/(-3x^(4/3))	$\frac{4 x^{2}}{- 3 x^{\frac{4}{3}}}$
223044	Simplify	((x^2)/y)^-3	${(\frac{x^{2}}{y})}^{- 3}$
223045	Evaluate	(8a^(m+3))^3*(1/4a^(1-m))^6	${(8 a^{m + 3})}^{3} \cdot {(\frac{1}{4} a^{1 - m})}^{6}$
223046	Simplify the Radical Expression	square root of -10* square root of -10	$\sqrt{- 10} \cdot \sqrt{- 10}$
223047	Graph	1/2a-5>=-3 or -6a-14<=-56	$\frac{1}{2} a - 5 \geq - 3$ or $- 6 a - 14 \leq - 56$
223048	Evaluate	25% of 500	$25 %$ of $500$
223049	Solve for x	6+ fifth root of 249-2x=7	$6 + \sqrt[5]{249 - 2 x} = 7$
223050	Graph	f(x)=x^2\|x\|	$f (x) = x^{2} \| x \|$
223051	Solve the Inequality for x	x^3(3x-5)(4x+9)>0	$x^{3} (3 x - 5) (4 x + 9) > 0$
223052	Evaluate Using the Given Value	10x if x=2/5	$10 x$ if $x = \frac{2}{5}$
223053	Solve for x	5/(x-3)+1=30/(x^2-9)	$\frac{5}{x - 3} + 1 = \frac{30}{x^{2} - 9}$
223054	Solve for y	3/5y=-6x	$\frac{3}{5} y = - 6 x$
223055	Divide	(5y^5-15y^4+25y^2)÷(5y)	$(5 y^{5} - 15 y^{4} + 25 y^{2}) \div (5 y)$
223056	Solve for y	(y-a)/b=(x+b)/c	$\frac{y - a}{b} = \frac{x + b}{c}$
223057	Simplify	((9x^2+27x+18)/(x^2+8x+12)*(x+6)/(x+1))÷((x^2+7x+6)/(x^2+7x+6))	$\frac{9 x^{2} + 27 x + 18}{x^{2} + 8 x + 12} \cdot \frac{x + 6}{x + 1} \div \frac{x^{2} + 7 x + 6}{x^{2} + 7 x + 6}$
223058	Evaluate	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
223059	Find All Complex Solutions	square root of 6x-4=3	$\sqrt{6 x - 4} = 3$
223060	Simplify the Radical Expression	16 root of (m^-5)/(m^-1)	$\sqrt[16]{\frac{m^{- 5}}{m^{- 1}}}$
223061	Simplify	( sixth root of k)(k)^10	$(\sqrt[6]{k}) {(k)}^{10}$
223062	Simplify	2d^12*(d^-2)/(d^6)	$2 d^{12} \cdot \frac{d^{- 2}}{d^{6}}$
223063	Simplify	(3^-1m^4(m^2)^-1)/(3^2m^-2)	$\frac{3^{- 1} m^{4} {(m^{2})}^{- 1}}{3^{2} m^{- 2}}$
223064	Evaluate	2(2/3)^2(-1/2)^3	$2 {(\frac{2}{3})}^{2} {(- \frac{1}{2})}^{3}$
223065	Evaluate Using the Given Value	(y+x)÷2+x ; use x=1 ; and y=1	$(y + x) \div 2 + x$ ; use $x = 1$ ; and $y = 1$
223066	Solve the System of Equations	2x+4y=8 3x=12+4y	$2 x + 4 y = 8$ $3 x = 12 + 4 y$
223067	Solve for x	z(x)=25x^2-10x+1	$z (x) = 25 x^{2} - 10 x + 1$
223068	Solve by Addition/Elimination	y-3x=11 2y-x=2	$y - 3 x = 11$ $2 y - x = 2$
223069	Find f(g(x))	f(x)=x-5 , g(x)=x^2	$f (x) = x - 5$ , $g (x) = x^{2}$
223070	Evaluate	3(5-4)-3(5-4)	$3 \cdot (5 - 4) - 3 \cdot (5 - 4)$
223071	Factor	-54q^3r-24q^2r^3+42qr	$- 54 q^{3} r - 24 q^{2} r^{3} + 42 q r$
223072	Combine Like Terms	(8-p^2+5p)+(p^2-15-4p)	$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$
223073	Simplify	-(4m^3n^0)^2	$- {(4 m^{3} n^{0})}^{2}$
223074	Evaluate	(2x)/7=(x+57)/5	$\frac{2 x}{7} = \frac{x + 57}{5}$
223075	Evaluate	-3-6(4x+6)>-111	$- 3 - 6 (4 x + 6) > - 111$
223076	Simplify	(6p^2-13p+5)/(2p^2+17p-9)*(p^2+16p+63)/(4p+28)	$\frac{6 p^{2} - 13 p + 5}{2 p^{2} + 17 p - 9} \cdot \frac{p^{2} + 16 p + 63}{4 p + 28}$
223077	Simplify	(x^4+3x^3-x^2+6)+(2x^4-3x+9)	$(x^{4} + 3 x^{3} - x^{2} + 6) + (2 x^{4} - 3 x + 9)$
223078	Simplify	x/(x^2-1)-x/(x-1)	$\frac{x}{x^{2} - 1} - \frac{x}{x - 1}$
223079	Solve for y	x=4/(2-y)	$x = \frac{4}{2 - y}$
223080	Evaluate	2x^3+3x^2+5x-4÷(x^2)+x+1	$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$
223081	Solve for x	8x+8+5x+11+5x-1=180	$8 x + 8 + 5 x + 11 + 5 x - 1 = 180$
223082	Simplify	8/(5x^4y^2z)-4/(10xy^3)	$\frac{8}{5 x^{4} y^{2} z} - \frac{4}{10 x y^{3}}$
223083	Evaluate	3- square root of 49+(2^2(3+4^2))÷(1/2)	$3 - \sqrt[2]{49} + 2^{2} (3 + 4^{2}) \div \frac{1}{2}$
223084	Solve for A	A^2+8^2=12^2	$A^{2} + 8^{2} = 12^{2}$
223085	Simplify	2(x^2+1)^2+3	$2 {(x^{2} + 1)}^{2} + 3$
223086	Simplify	(3a^3-4a^2+a-7)+(a^4-2a^3+3a^2+5)	$(3 a^{3} - 4 a^{2} + a - 7) + (a^{4} - 2 a^{3} + 3 a^{2} + 5)$
223087	Find the GCF	36xy^2-48x^2y	$36 x y^{2} - 48 x^{2} y$
223088	Solve the Inequality for z	-36<3z-6<-15	$- 36 < 3 z - 6 < - 15$
223089	Graph Using a Table of Values	y = square root of 2x	$y = \sqrt{2 x}$
223090	Solve for a	a = square root of a+12	$a = \sqrt{a + 12}$
223091	Divide	(18x5+6x4-12x3)÷6x2	$(18 x \cdot 5 + 6 x \cdot 4 - 12 x \cdot 3) \div 6 x \cdot 2$
223092	Simplify	3 cube root of 4a^5-5 cube root of 32a^2+ cube root of (2a)^2	$3 \sqrt[3]{4 a^{5}} - 5 \sqrt[3]{32 a^{2}} + \sqrt[3]{{(2 a)}^{2}}$
223093	Subtract	(a-2)-(a-9)	$(a - 2) - (a - 9)$
223094	Evaluate	-3^-2-3^0	$- 3^{- 2} - 3^{0}$
223095	Simplify	(10!)/(8!)	$\frac{10!}{8!}$
223096	Solve by Factoring	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
223097	Solve for x	x+3 = square root of 22/3x+9	$x + 3 = \sqrt{\frac{22}{3} x + 9}$
223098	Graph	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
223099	Write in Exponential Form	( fifth root of 28x^2)^3	${(\sqrt[5]{28 x^{2}})}^{3}$
223100	Solve for x	3^3=3^(4x)+2	$3^{3} = 3^{4 x} + 2$