Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222001	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3+13x^2+16x+12 is divided by x+2	Use synthetic division to find the result when $x^{4} + 6 x^{3} + 13 x^{2} + 16 x + 12$ is divided by $x + 2$
222002	Graph	What is the y-coordinate of the point on the line x=2y+1 with an x-coordinate of -1 ?	What is the $y - c o \cdot o r d i n a t e$ of the point on the line $x = 2 y + 1$ with an $x - c o \cdot o r d i n a t e$ of $- 1$ ?
222003	Determine if a Polynomial	9x^4+8x^3-6x^-2+2x	$9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$
222004	Solve for x	3/(x-1)=1/(x-1)+1/(x-5)	$\frac{3}{x - 1} = \frac{1}{x - 1} + \frac{1}{x - 5}$
222005	Divide	( cube root of 625x^6y^4)/( cube root of 5xy)	$\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}$
222006	Find the GCF	15xy+30x^2y^2	$15 x y + 30 x^{2} y^{2}$
222007	Convert to a Decimal	-495deg	$- 495$ degrees
222008	Find the Distance Between Two Points	(2,7) and (8,9)	$(2, 7)$ and $(8, 9)$
222009	Solve for d	d^2-4d+5=d	$d^{2} - 4 d + 5 = d$
222010	Find the LCM	7 and 2	$7$ and $2$
222011	Evaluate	cube root of 8^5+( square root of 16)^4	$\sqrt[3]{8^{5}} + {(\sqrt{16})}^{4}$
222012	Evaluate	square root of 3^3*6^3	$\sqrt{3^{3}} \cdot 6^{3}$
222013	Simplify	(a^5)(a^x)(a^x)	$(a^{5}) (a^{x}) (a^{x})$
222014	Rationalize the Denominator	(2 square root of 7)/( square root of 3- square root of 5)	$\frac{2 \sqrt{7}}{\sqrt{3} - \sqrt{5}}$
222015	Solve for x	10/15=x/(13-x)	$\frac{10}{15} = \frac{x}{13 - x}$
222016	Solve for x	2x+pi/2=0	$2 x + \frac{π}{2} = 0$
222017	Evaluate	seventh root of (4.5*10^4)+235	$\sqrt[7]{(4.5 \cdot 10^{4}) + 235}$
222018	Solve for x	19500=18750(1+x(0.75))	$19500 = 18750 (1 + x (0.75))$
222019	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(3x)/(x^6)+x-7	$f (x) = \frac{3 x}{x^{6}} + x - 7$
222020	Find the Holes in the Graph	(x^2-6x+8)/(2x-4)	$\frac{x^{2} - 6 x + 8}{2 x - 4}$
222021	Simplify	(2 square root of a^2b)/(3 square root of b)	$\frac{2 \sqrt{a^{2} b}}{3 \sqrt{b}}$
222022	Solve for F	C=(5F)/9-160/9	$C = \frac{5 F}{9} - \frac{160}{9}$
222023	Find the Exact Value	cos(arcsin(( square root of 2)/3))	$\cos (\arcsin (\frac{\sqrt{2}}{3}))$
222024	Evaluate	cube root of (128a^9)/(2a^3)	$\sqrt[3]{\frac{128 a^{9}}{2 a^{3}}}$
222025	Solve the Rational Equation for x	9+x/(x+8)=-8/(x+8)	$9 + \frac{x}{x + 8} = - \frac{8}{x + 8}$
222026	Solve the Rational Equation for x	-5 square root of x-1=20	$- 5 \sqrt{x - 1} = 20$
222027	Solve for x	x/(x+8)+3/(8-x)=2/(x^2-64)	$\frac{x}{x + 8} + \frac{3}{8 - x} = \frac{2}{x^{2} - 64}$
222028	Simplify	(15y^2(y+3))/(20y^3(y+3))	$\frac{15 y^{2} (y + 3)}{20 y^{3} (y + 3)}$
222029	Simplify	6*4-4+8÷4	$6 \times 4 - 4 + 8 \div 4$
222030	Evaluate	-5 square root of x-1=20	$- 5 \sqrt{x - 1} = 20$
222031	Simplify	(x^2y)^3 square root of y^4	${(x^{2} y)}^{3} \sqrt[2]{y^{4}}$
222032	Simplify	8q+3q-6t+2q-4q	$8 q + 3 q - 6 t + 2 q - 4 q$
222033	Divide Using Long Polynomial Division	(x^3+x^2+5x)÷(x+1)	$(x^{3} + x^{2} + 5 x) \div (x + 1)$
222034	Solve the Inequality for x	6/(x-1)>=5	$\frac{6}{x - 1} \geq 5$
222035	Simplify	(6 cube root of xy^2z^0)( fourth root of 81x^3y)	$(6 \sqrt[3]{x y^{2} z^{0}}) (\sqrt[4]{81 x^{3} y})$
222036	Graph	y>=1-x^2	$y \geq 1 - x^{2}$
222037	Solve the Inequality for x	-2<=(6+x)/3	$- 2 \leq \frac{6 + x}{3}$
222038	Solve for x	2x^3+x-2=0	$2 x^{3} + x - 2 = 0$
222039	Graph	y>-2 x<1	$y > - 2$ $x < 1$
222040	Simplify	2a^0+(2a)^0+2^0a	$2 a^{0} + {(2 a)}^{0} + 2^{0} a$
222041	Convert to a Decimal	-20deg	$- 20$ degrees
222042	Solve for x	2(2x-5)=3x+x-2x	$2 (2 x - 5) = 3 x + x - 2 x$
222043	Divide Using Long Polynomial Division	8x^3-6x^2-21x-15 divided by 4x-5	$8 x^{3} - 6 x^{2} - 21 x - 15$ divided by $4 x - 5$
222044	Simplify	(x^2-9)/(x^2-x-12)(x-4)/(x^2-9)(6x)/(3x)	$\frac{x^{2} - 9}{x^{2} - x - 12} \cdot \frac{x - 4}{x^{2} - 9} \cdot \frac{6 x}{3 x}$
222045	Solve for x	square root of (8x)/3-4=0	$\sqrt{\frac{8 x}{3}} - 4 = 0$
222046	Evaluate the Function	y=1/4(4)^x , x=3/2	$y = \frac{1}{4} {(4)}^{x}$ , $x = \frac{3}{2}$
222047	Graph	y=f'(x)	$y = f' (x)$
222048	Evaluate	(-x^5)^2	${(- x^{5})}^{2}$
222049	Evaluate	square root of y+5=0	$\sqrt{y} + 5 = 0$
222050	Solve for z	log of z+ log of 2+3=1	$\log (z) + \log (2 + 3) = 1$
222051	Simplify the Radical Expression	(7^2)^(1/4)	${(7^{2})}^{\frac{1}{4}}$
222052	Solve for p	-9(2p+1)=-15p	$- 9 (2 p + 1) = - 15 p$
222053	Simplify	(3x^2y)^3(2xy^4)^2y^3	${(3 x^{2} y)}^{3} {(2 x y^{4})}^{2} y^{3}$
222054	Simplify	((-3x^2)/(y^3))^3	${(\frac{- 3 x^{2}}{y^{3}})}^{3}$
222055	Write the Fraction in Simplest Form	(4y^6c^10)/((2y^4c)^-1)	$\frac{4 y^{6} c^{10}}{{(2 y^{4} c)}^{- 1}}$
222056	Solve for x	(5/9)^(5x-9)=(9/5)^(9x-5)	${(\frac{5}{9})}^{5 x - 9} = {(\frac{9}{5})}^{9 x - 5}$
222057	Multiply	x3/4*x1/5	$x \frac{3}{4} \cdot x \frac{1}{5}$
222058	Find the LCD	1/(2x+9) and 6/(5x)	$\frac{1}{2 x + 9}$ and $\frac{6}{5 x}$
222059	Divide	(7n^2+3n^3+8)÷(n+2)	$(7 n^{2} + 3 n^{3} + 8) \div (n + 2)$
222060	Simplify	square root of 1-1/4	$\sqrt{1 - \frac{1}{4}}$
222061	Solve the Inequality for x	2x<=(4x+1)/2	$2 x \leq \frac{4 x + 1}{2}$
222062	Simplify	(2(x-1))/(4x^2-3x-1)+(x+2)/(4x^2+7x-2)	$\frac{2 (x - 1)}{4 x^{2} - 3 x - 1} + \frac{x + 2}{4 x^{2} + 7 x - 2}$
222063	Evaluate	4-1-1^2	$4 - 1 - 1^{2}$
222064	Simplify the Radical Expression	(64x^18y^-21)^(-4/3)	${(64 x^{18} y^{- 21})}^{- \frac{4}{3}}$
222065	Simplify	(5w+20)/(3w+15)*(7w+35)/(10w+40)	$\frac{5 w + 20}{3 w + 15} \cdot \frac{7 w + 35}{10 w + 40}$
222066	Simplify	1/(y^2)-1/x	$\frac{1}{y^{2}} - \frac{1}{x}$
222067	Solve for m	3/4-5/4m=113/24	$\frac{3}{4} - \frac{5}{4} m = \frac{113}{24}$
222068	Simplify the Radical Expression	4 square root of 2*3 square root of 3	$4 \sqrt{2} \cdot 3 \sqrt{3}$
222069	Find the Product	x/(x+3)*x/(x+2)	$\frac{x}{x + 3} \cdot \frac{x}{x + 2}$
222070	Factor	h=-10t^2+15t	$h = - 10 t^{2} + 15 t$
222071	Find the x and y Intercepts	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
222072	Evaluate	1/2*(4^2-(2+3))	$\frac{1}{2} \cdot (4^{2} - (2 + 3))$
222073	Solve by Substitution	y=x^2-2x+4 y=3x	$y = x^{2} - 2 x + 4$ $y = 3 x$
222074	Simplify	square root of 25xy+ square root of 49xy	$\sqrt{25 x y} + \sqrt{49 x y}$
222075	Solve the Inequality for x	-3(9+x)>=-21	$- 3 (9 + x) \geq - 21$
222076	Write in Slope-Intercept Form	y+2=3x	$y + 2 = 3 x$
222077	Simplify	(4y-3)/(y+2)+(5-3y)/(y+2)	$\frac{4 y - 3}{y + 2} + \frac{5 - 3 y}{y + 2}$
222078	Simplify	3x^2+8x from -9x^2+3x-8	$3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
222079	Solve the Rational Equation for x	1+8/(x-1)=(8x)/(x-1)	$1 + \frac{8}{x - 1} = \frac{8 x}{x - 1}$
222080	Evaluate Using the Given Value	1/2b if b=12	$\frac{1}{2} b$ if $b = 12$
222081	Simplify	64^(-2/3)*64^(1/3)	$64^{- \frac{2}{3}} \cdot 64^{\frac{1}{3}}$
222082	Evaluate	log base 1/4 of 1/32	$\log_{\frac{1}{4}} (\frac{1}{32})$
222083	Find the Product	-4c^2d^3(5cd^2+3c^2d)	$- 4 c^{2} d^{3} (5 c d^{2} + 3 c^{2} d)$
222084	Solve the System of Inequalities	-7x+3y>-1 5x-9y>-6	$- 7 x + 3 y > - 1$ $5 x - 9 y > - 6$
222085	Simplify	3/10(4m-8)+9m	$\frac{3}{10} (4 m - 8) + 9 m$
222086	Solve for x	-12=-x+ square root of 2x+24	$- 12 = - x + \sqrt{2 x + 24}$
222087	Solve for x	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
222088	Factor	Factor: 8x^3-1	Factor: $8 x^{3} - 1$
222089	Solve for E	E/e=(R+r)/r	$\frac{E}{e} = \frac{R + r}{r}$
222090	Find the Domain and Range	x^2y-4x^2-5x-9y-6=0	$x^{2} y - 4 x^{2} - 5 x - 9 y - 6 = 0$
222091	Simplify the Radical Expression	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
222092	Solve the System of Inequalities	y>-3x+5 y<=x-2	$y > - 3 x + 5$ $y \leq x - 2$
222093	Find the Distance Between Two Points	(0,-4) and (-3,-1)	$(0, - 4)$ and $(- 3, - 1)$
222094	Evaluate	1/2(3)-1	$\frac{1}{2} (3) - 1$
222095	Evaluate	(n-5)/6+(n+3)/7=11/21	$\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}$
222096	Solve the System of Equations	y=x^2+5x-25 1=3x-y	$y = x^{2} + 5 x - 25$ $1 = 3 x - y$
222097	Simplify	(2x-4)^2-(x+7)(x-2)	${(2 x - 4)}^{2} - (x + 7) (x - 2)$
222098	Simplify the Radical Expression	3x cube root of x^8y+x^2 cube root of x^5y	$3 x \sqrt[3]{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
222099	Solve for x	square root of 3x-3 = square root of x-3	$\sqrt{3 x} - 3 = \sqrt{x - 3}$
222100	Simplify	3x^3y*2x^8y^5	$3 x^{3} y \cdot 2 x^{8} y^{5}$