Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181001	Simplify	((3c^2d^4)/(2c^3d^3))^3	${(\frac{3 c^{2} d^{4}}{2 c^{3} d^{3}})}^{3}$
181002	Simplify	(x^3-9x)/(x+3)*(5x^2-50x+120)/(10x^2-90x+180)	$\frac{x^{3} - 9 x}{x + 3} \cdot \frac{5 x^{2} - 50 x + 120}{10 x^{2} - 90 x + 180}$
181003	Simplify	(2x+16)/(4x^2-4x-288)*(x^5-81x^3)/(x^2+5x-36)	$\frac{2 x + 16}{4 x^{2} - 4 x - 288} \cdot \frac{x^{5} - 81 x^{3}}{x^{2} + 5 x - 36}$
181004	Solve for θ	16sin(theta)^2-12=0	$16 \sin^{2} (θ) - 12 = 0$
181005	Solve the Absolute Value Inequality for x	\|x+4\|<=5	$\| x + 4 \| \leq 5$
181006	Simplify	(5x^3y^2-3xy+2)+(2x^3y^2-3x^2y^2+4xy-7)	$(5 x^{3} y^{2} - 3 x y + 2) + (2 x^{3} y^{2} - 3 x^{2} y^{2} + 4 x y - 7)$
181007	Solve for x	-1/2x^2-x+4=0	$- \frac{1}{2} x^{2} - x + 4 = 0$
181008	Evaluate	f^-1(-5)	$f^{- 1} (- 5)$
181009	Solve for x	10-5x=3(x-4)-2(x+7)	$10 - 5 x = 3 (x - 4) - 2 (x + 7)$
181010	Graph	f(x)=6x+1 if x<=0; -2x+11 if x>3	$f (x) = {\begin{cases} 6 x + 1 & x \leq 0 \\ - 2 x + 11 & x > 3 \end{cases}$
181011	Solve the Absolute Value Inequality for y	\|(y+9)/4\|=5	$\| \frac{y + 9}{4} \| = 5$
181012	Divide	(-6/38)÷(42/(-15x))	$- \frac{6}{38} \div \frac{42}{- 15 x}$
181013	Find the x and y Intercepts	f(x)=-2x-2+9x^2	$f (x) = - 2 x - 2 + 9 x^{2}$
181014	Graph	x^2<=-6x	$x^{2} \leq - 6 x$
181015	Expand the Logarithmic Expression	log of ( square root of z^3y)/(x^4)	$\log (\frac{\sqrt{z^{3}} y}{x^{4}})$
181016	Find the Inverse	y = square root of x+6+2	$y = \sqrt{x + 6} + 2$
181017	Solve the Inequality for x	2x^2+x-15<=0	$2 x^{2} + x - 15 \leq 0$
181018	Find All Complex Solutions	2sin(x)^2+cos(x)=1	$2 \sin^{2} (x) + \cos (x) = 1$
181019	Solve for x	7/(3x)+4/(6x^2)=5/(8x)-2/(3x^2)	$\frac{7}{3 x} + \frac{4}{6 x^{2}} = \frac{5}{8 x} - \frac{2}{3 x^{2}}$
181020	Solve for n	\|n-2\|<=5	$\| n - 2 \| \leq 5$
181021	Solve for b	-2>(3(b+4))/-2	$- 2 > \frac{3 (b + 4)}{- 2}$
181022	Divide	(-3/2)÷2	$- \frac{3}{2} \div 2$
181023	Write in Standard Form	x^2+x=-4x^2+16	$x^{2} + x = - 4 x^{2} + 16$
181024	Graph	y<2x^2+2	$y < 2 x^{2} + 2$
181025	Find the Equation of the Circle	Center (4,-3) , r=5	Center $(4, - 3)$ , $r = 5$
181026	Rationalize the Denominator	2/( square root of 7- square root of 3)	$\frac{2}{\sqrt{7} - \sqrt{3}}$
181027	Solve for j	5(4/5j+2)=3-6j	$5 (\frac{4}{5} j + 2) = 3 - 6 j$
181028	Graph	f(x)=2^x,x<0; -x^2-4x+1,0<x<2; 1/2x+3,x>2	$f (x) = {\begin{cases} 2^{x}, x < 0 \\ - x^{2} - 4 x + 1, 0 < x < 2 \\ \frac{1}{2} x + 3, x > 2 \end{cases}$
181029	Solve the Inequality for x	\|x+1\|>2	$\| x + 1 \| > 2$
181030	Solve for x	14x+10>=9x+15	$14 x + 10 \geq 9 x + 15$
181031	Simplify	(tan(x)-1)^2	${(\tan (x) - 1)}^{2}$
181032	Evaluate	(4/3)^-8*(4/3)^2 ?	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$ ?
181033	Divide	(-9x^4+4x^2+15-14x^3)÷(-x^2-x+2)	$(- 9 x^{4} + 4 x^{2} + 15 - 14 x^{3}) \div (- x^{2} - x + 2)$
181034	Solve the Inequality for x	-6<=x-2	$- 6 \leq x - 2$
181035	Solve the System of Equations	-2x+y+6z=1 3x+2y+5z=16 7x+3y-4z=11	$- 2 x + y + 6 z = 1$ $3 x + 2 y + 5 z = 16$ $7 x + 3 y - 4 z = 11$
181036	Simplify	(2x^3y^8)/(4y^2)	$\frac{2 \cdot x^{3} y^{8}}{4 \cdot y^{2}}$
181037	Simplify	3/4 square root of -48	$\frac{3}{4} \sqrt{- 48}$
181038	Factor	-x^4+20-x^2	$- x^{4} + 20 - x^{2}$
181039	Simplify	(a^2+3a-7)-4a(a-1)	$(a^{2} + 3 a - 7) - 4 a (a - 1)$
181040	Find the Function	f(x)=x^2-3x+1	$f (x) = x^{2} - 3 x + 1$
181041	Solve for x	f(-3)=4x^2-x-3	$f (- 3) = 4 x^{2} - x - 3$
181042	Multiply	2(3/4)	$2 (\frac{3}{4})$
181043	Solve for x	log base 4 of 9x- log base 4 of 3=0	$\log_{4} (9 x) - \log_{4} (3) = 0$
181044	Factor	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
181045	Solve for y	y=(1/3)^-3	$y = {(\frac{1}{3})}^{- 3}$
181046	Graph	y=\|x^2-2x\|	$y = \| x^{2} - 2 x \|$
181047	Evaluate	30% of 50	$30 %$ of $50$
181048	Simplify	(5/16)÷(3/8-2/5)	$\frac{5}{16} \div (\frac{3}{8} - \frac{2}{5})$
181049	Simplify the Radical Expression	square root of 144	$\sqrt{144}$
181050	Solve for y	5(x-y)+4=7	$5 (x - y) + 4 = 7$
181051	Subtract	Subtract -2x-10 from 10x^2+3	Subtract $- 2 x - 10$ from $10 x^{2} + 3$
181052	Evaluate the Function	f(x)=(x^7)/7-7/(x^7) at x=-1	$f (x) = \frac{x^{7}}{7} - \frac{7}{x^{7}}$ at $x = - 1$
181053	Simplify	(4x^2-24x)/(4x^4+12x^3-16x^2)*(x^2-9x+8)/(x^2-14x+48)	$\frac{4 x^{2} - 24 x}{4 x^{4} + 12 x^{3} - 16 x^{2}} \cdot \frac{x^{2} - 9 x + 8}{x^{2} - 14 x + 48}$
181054	Solve for k	natural log of k/A=(-E)/(RT)	$\ln (\frac{k}{A}) = \frac{- E}{R T}$
181055	Simplify	((4a^2b)/(a^3b^2))((5a^2b)/(2b^4))	$(\frac{4 a^{2} b}{a^{3} b^{2}}) (\frac{5 a^{2} b}{2 b^{4}})$
181056	Solve for x	7+(3x+7)/(x+8)=x	$7 + \frac{3 x + 7}{x + 8} = x$
181057	Convert to Interval Notation	((x+3)(x-2))/((x+2)(x-1))>=0	$\frac{(x + 3) (x - 2)}{(x + 2) (x - 1)} \geq 0$
181058	Find All Complex Solutions	b^2-4ac=0	$b^{2} - 4 a c = 0$
181059	Solve the System of Equations	2x+y-3z=-1 x-3y-2z=-12 3x-2y-z=-5	$2 x + y - 3 z = - 1$ $x - 3 y - 2 z = - 12$ $3 x - 2 y - z = - 5$
181060	Solve for x	x^2+(3/5)^2=1	$x^{2} + {(\frac{3}{5})}^{2} = 1$
181061	Evaluate	arccot(( square root of 3)/3)	$arccot (\frac{\sqrt{3}}{3})$
181062	Evaluate	f(-3)=4x+5	$f (- 3) = 4 x + 5$
181063	Solve for m	1/4(8m+24)=21-13m	$\frac{1}{4} (8 m + 24) = 21 - 13 m$
181064	Solve for b	a=1/8(b+c-d)	$a = \frac{1}{8} (b + c - d)$
181065	Divide	(5x)/5	$\frac{5 x}{5}$
181066	Find the Exact Value	333	$3 \cdot 3 \cdot 3$
181067	Find the Roots (Zeros)	x+1/x=2	$x + \frac{1}{x} = 2$
181068	Solve for x	x-1/(x-5)=5/(x-5)	$x - \frac{1}{x - 5} = \frac{5}{x - 5}$
181069	Graph	h(x)=-4,x<-3; x+5,x>=-3	$h (x) = {\begin{cases} - 4, x < - 3 \\ x + 5, x \geq - 3 \end{cases}$
181070	Solve for q	2q^2-13q+20=0	$2 q^{2} - 13 q + 20 = 0$
181071	Simplify	((p^(2/3))/(q^(1/2)))^(-2/3)	${(\frac{p^{\frac{2}{3}}}{q^{\frac{1}{2}}})}^{- \frac{2}{3}}$
181072	Find the Roots (Zeros)	x^2=4x	$x^{2} = 4 x$
181073	Simplify the Radical Expression	fourth root of 16x^4	$\sqrt[4]{16 x^{4}}$
181074	Find the x and y Intercepts	f(x)=-2(2x+3)(5x+1)	$f (x) = - 2 (2 x + 3) (5 x + 1)$
181075	Find f(g(x))	f(x)=x^2-3x , g(x)=2x+2	$f (x) = x^{2} - 3 x$ , $g (x) = 2 x + 2$
181076	Write Using Negative Exponents	1/2x+3x^2	$\frac{1}{2} x + 3 x^{2}$
181077	Write in Standard Form	3x-17+3x^2=-4	$3 x - 17 + 3 x^{2} = - 4$
181078	Find the x and y Intercepts	3x-2y	$3 x - 2 y$
181079	Solve for x	3-(x+2)/5=5(3x-2)	$3 - \frac{x + 2}{5} = 5 (3 x - 2)$
181080	Find the Domain and Range	y=(x-2)/(x+1)	$y = \frac{x - 2}{x + 1}$
181081	Factor	1-d^9	$1 - d^{9}$
181082	Simplify	((4w^2-3wy)(w+y))/((3y-4w)(5w+y))	$\frac{(4 w^{2} - 3 w y) (w + y)}{(3 y - 4 w) (5 w + y)}$
181083	Solve for y	2>=y/5-1	$2 \geq \frac{y}{5} - 1$
181084	Find the Inverse	f(x)=(x^(1/3))/4	$f (x) = \frac{x^{\frac{1}{3}}}{4}$
181085	Solve for x	40=-1/3(9x+30)+2	$40 = - \frac{1}{3} (9 x + 30) + 2$
181086	Evaluate	2^(-x)=16	$2^{- x} = 16$
181087	Write in Slope-Intercept Form	x-y>2	$x - y > 2$
181088	Simplify	(1/(x^3))^2	${(\frac{1}{x^{3}})}^{2}$
181089	Graph Using a Table of Values	y=x^2+4x+3	$y = x^{2} + 4 x + 3$
181090	Write in Standard Form	f(x)=(3x+1)(x+2)(x-3)	$f (x) = (3 x + 1) (x + 2) (x - 3)$
181091	Simplify	-x+8+6x-4y-8x+3	$- x + 8 + 6 x - 4 y - 8 x + 3$
181092	Find the Inverse	f(x)=(x+7)^(1/2)	$f (x) = {(x + 7)}^{\frac{1}{2}}$
181093	Simplify	1/(x+1)-(5x-2)/(x^2-5x-6)	$\frac{1}{x + 1} - \frac{5 x - 2}{x^{2} - 5 x - 6}$
181094	Graph	y<=-x+1 y>=3/5x-7	$y \leq - x + 1$ $y \geq \frac{3}{5} x - 7$
181095	Solve for a	(x^(3/2))/(x^(2/5))=x^a	$\frac{x^{\frac{3}{2}}}{x^{\frac{2}{5}}} = x^{a}$
181096	Simplify	(-5z^2+9z)/(4z^2-25)-(-7z^2+4z+25)/(4z^2-25)	$\frac{- 5 z^{2} + 9 z}{4 z^{2} - 25} - \frac{- 7 z^{2} + 4 z + 25}{4 z^{2} - 25}$
181097	Simplify	(-16x^2+9)/(4x^2+5x-6)	$\frac{- 16 x^{2} + 9}{4 x^{2} + 5 x - 6}$
181098	Find the Domain and Range	f(x)=(3x-1)/((x+3)(x-1))	$f (x) = \frac{3 x - 1}{(x + 3) (x - 1)}$
181099	Find the x and y Intercepts	(x-5)(x+2)=y	$(x - 5) (x + 2) = y$
181100	Write in Standard Form	x^2=-2x+16	$x^{2} = - 2 x + 16$