Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206001	Graph	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
206002	Solve for B	(4a+5)^2=16a^2+Ba+25	${(4 a + 5)}^{2} = 16 a^{2} + B a + 25$
206003	Simplify	3n^(-1/2)*3n	$3 n^{- \frac{1}{2}} \cdot 3 n$
206004	Solve for x	9^(-3x-6)=3^(3x^2-21)	$9^{- 3 x - 6} = 3^{3 x^{2} - 21}$
206005	Solve for q	1/2-1/8q=(q-1)/4	$\frac{1}{2} - \frac{1}{8} q = \frac{q - 1}{4}$
206006	Solve the Inequality for t	t/-2<6	$\frac{t}{- 2} < 6$
206007	Solve the System of Equations	y=-3/2x-8 3x-4y=-4	$y = - \frac{3}{2} x - 8$ $3 x - 4 y = - 4$
206008	Write in Exponential Form	( cube root of 5)^3	${(\sqrt[3]{5})}^{3}$
206009	Simplify	((4x)/7)÷(2/21)	$\frac{4 x}{7} \div \frac{2}{21}$
206010	Simplify the Radical Expression	-2y square root of 28x^3+3x square root of 63xy^2-3 square root of 112x^3y^2	$- 2 y \sqrt{28 x^{3}} + 3 x \sqrt{63 x y^{2}} - 3 \sqrt{112 x^{3} y^{2}}$
206011	Factor	q(x)=9x^2-24x+16	$q (x) = 9 x^{2} - 24 x + 16$
206012	Simplify	((-x)/(-y^2))^4	${(\frac{- x}{- y^{2}})}^{4}$
206013	Evaluate	x^4y^-2	$x^{4} y^{- 2}$
206014	Solve the Inequality for b	b/16>=-6	$\frac{b}{16} \geq - 6$
206015	Divide	(1+a^3)÷(1+a)	$(1 + a^{3}) \div (1 + a)$
206016	Evaluate	(tan(theta))/(sec(theta))	$\frac{\tan (θ)}{\sec (θ)}$
206017	Solve by Factoring	5x^5-80x=0	$5 x^{5} - 80 x = 0$
206018	Graph	-5+1/4x=3x+6	$- 5 + \frac{1}{4} x = 3 x + 6$
206019	Simplify	1/(1+x)+(1-x)/x	$\frac{1}{1 + x} + \frac{1 - x}{x}$
206020	Solve the System of Inequalities	y>=2x-3 y>4x+5	$y \geq 2 x - 3$ $y > 4 x + 5$
206021	Simplify	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
206022	Simplify	(24m^-2n)(1/4mn)	$(24 m^{- 2} n) (\frac{1}{4} m n)$
206023	Find the x and y Intercepts	F(x)=1/(x^2)	$F (x) = \frac{1}{x^{2}}$
206024	Simplify	(3x)/8+(5x-16)/8	$\frac{3 x}{8} + \frac{5 x - 16}{8}$
206025	Simplify	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
206026	Simplify	(128c^15d^11e^5)^(1/3)	${(128 c^{15} d^{11} e^{5})}^{\frac{1}{3}}$
206027	Find the Inverse	y=e^(x/2)	$y = e^{\frac{x}{2}}$
206028	Simplify	((12x^3y^-4)/(4x^-2y^-4))^-2	${(\frac{12 x^{3} y^{- 4}}{4 x^{- 2} y^{- 4}})}^{- 2}$
206029	Simplify	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
206030	Solve for n	1/3(2n-1/4)=7/12	$\frac{1}{3} (2 n - \frac{1}{4}) = \frac{7}{12}$
206031	Simplify	a(b-c)	$a (b - c)$
206032	Evaluate	83-(14-34)*2	$83 - (14 - 34) \cdot 2$
206033	Simplify	2 square root of st^2+3 square root of s^2+5 square root of s^3t^4	$2 \sqrt{s t^{2}} + 3 \sqrt{s^{2}} + 5 \sqrt{s^{3} t^{4}}$
206034	Graph	y>=-5 y-1<3x	$y \geq - 5$ $y - 1 < 3 x$
206035	Solve the System of Equations	9x^2+4(y-2)^2=36 x^2=2y	$9 x^{2} + 4 {(y - 2)}^{2} = 36$ $x^{2} = 2 y$
206036	Write the Fraction in Simplest Form	((2v^4)^3)/(10v^5)	$\frac{{(2 v^{4})}^{3}}{10 v^{5}}$
206037	Simplify	square root of 36x^5* fourth root of 256x^10	$\sqrt{36 x^{5}} \cdot \sqrt[4]{256 x^{10}}$
206038	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2+4x^3+9+x^6-5x^5	$f (x) = - 2 x^{2} + 4 x^{3} + 9 + x^{6} - 5 x^{5}$
206039	Simplify	35x+7z-4z-15x-3z	$35 x + 7 z - 4 z - 15 x - 3 z$
206040	Solve for x	35x-56=g(-5x+8)	$35 x - 56 = g (- 5 x + 8)$
206041	Find the LCM	2 , 3 , 8	$2$ , $3$ , $8$
206042	Find the Exact Value	cos(0 degrees )+cot(45 degrees )	$\cos (0 °) + \cot (45 °)$
206043	Write in Standard Form	(6x^2-9x^3+3)/3	$\frac{6 x^{2} - 9 x^{3} + 3}{3}$
206044	Solve for x	1/4 fourth root of 2x+6=10	$\frac{1}{4} \sqrt[4]{2 x} + 6 = 10$
206045	Factor	U(t)=2t^4+3t^3+27t^2+48t-80	$U (t) = 2 t^{4} + 3 t^{3} + 27 t^{2} + 48 t - 80$
206046	Simplify	square root of (7x)^3	$\sqrt{{(7 x)}^{3}}$
206047	Solve for z	z = square root of 7z-10	$z = \sqrt{7 z - 10}$
206048	Simplify	((3x^2y)^0)/(2xy)*(8x^3y)/(3y^2)	$\frac{{(3 x^{2} y)}^{0}}{2 x y} \cdot \frac{8 x^{3} y}{3 y^{2}}$
206049	Find the Domain and Range	f(x)=( square root of x^2-2x+1)/(x-1)	$f (x) = \frac{\sqrt{x^{2} - 2 x + 1}}{x - 1}$
206050	Simplify	(x^2-4y^2)÷((5x-10y)/x)	$(x^{2} - 4 y^{2}) \div \frac{5 x - 10 y}{x}$
206051	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $\frac{2}{3}$ ?
206052	Simplify	square root of 13-(13-2x)	$\sqrt{13 - (13 - 2 x)}$
206053	Write the Fraction in Simplest Form	(4p^-8)/(-4(p^-2)^4)	$\frac{4 p^{- 8}}{- 4 {(p^{- 2})}^{4}}$
206054	Solve for x	(4x+8)/15-(2x-8)/9=(27x+18)/27-x	$\frac{4 x + 8}{15} - \frac{2 x - 8}{9} = \frac{27 x + 18}{27} - x$
206055	Solve for r	-4/(r+9)=7/-2	$\frac{- 4}{r + 9} = \frac{7}{- 2}$
206056	Simplify	( square root of 8- square root of 6)/( square root of 12-2)	$\frac{\sqrt{8} - \sqrt{6}}{\sqrt{12} - 2}$
206057	Solve for n	square root of n/6 = square root of 63-n	$\sqrt{\frac{n}{6}} = \sqrt{63 - n}$
206058	Simplify the Radical Expression	( fifth root of 64)/( fifth root of 4)	$\frac{\sqrt[5]{64}}{\sqrt[5]{4}}$
206059	Find the Holes in the Graph	y=x/(x(x-1))	$y = \frac{x}{x (x - 1)}$
206060	Solve for A	y=Ax+b	$y = A x + b$
206061	Write the Fraction in Simplest Form	(5(a)^3)/(15a)	$\frac{5 {(a)}^{3}}{15 a}$
206062	Simplify	1÷(( square root of 3)/2)	$1 \div \frac{\sqrt{3}}{2}$
206063	Write in Standard Form	2x^2+2y^2-8=0	$2 x^{2} + 2 y^{2} - 8 = 0$
206064	Simplify	6 square root of x+ square root of x-3 square root of y- square root of y	$6 \sqrt{x} + \sqrt{x} - 3 \sqrt{y} - \sqrt{y}$
206065	Divide	( square root of 15)/(5 square root of 20)	$\frac{\sqrt{15}}{5 \sqrt{20}}$
206066	Simplify	(3x-21)/(x^2-3x-28)*(5x+20)/(2x+8)	$\frac{3 x - 21}{x^{2} - 3 x - 28} \cdot \frac{5 x + 20}{2 x + 8}$
206067	Graph	x^2+y<=-3	$x^{2} + y \leq - 3$
206068	Rationalize the Denominator	4/( cube root of 8x^2)	$\frac{4}{\sqrt[3]{8 x^{2}}}$
206069	Solve for d	(2^d)^4=2^12	${(2^{d})}^{4} = 2^{12}$
206070	Solve for y	-2y+5-7y=-7y-4+y	$- 2 y + 5 - 7 y = - 7 y - 4 + y$
206071	Find the Exact Value	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
206072	Find the x and y Intercepts	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
206073	Convert to a Decimal	-330deg	$- 330$ degrees
206074	Simplify	-(8x^18)/(4x^6)	$- \frac{8 x^{18}}{4 x^{6}}$
206075	Graph	y=2+3cos(pi/3(x-1))	$y = 2 + 3 \cos (\frac{π}{3} (x - 1))$
206076	Convert to Radical Form	(2x^2-7)^(1/2)	${(2 x^{2} - 7)}^{\frac{1}{2}}$
206077	Simplify	((x^2)/4)/((x^2)/4-4/x)	$\frac{\frac{x^{2}}{4}}{\frac{x^{2}}{4} - \frac{4}{x}}$
206078	Evaluate	9^(8x)=27	$9^{8 x} = 27$
206079	Simplify	( square root of 18x^4)/( square root of x^4)	$\frac{\sqrt{18 x^{4}}}{\sqrt{x^{4}}}$
206080	Write in Standard Form	(3x^2-x-5)(3x^2-3x+4)	$(3 x^{2} - x - 5) (3 x^{2} - 3 x + 4)$
206081	Simplify	3 fourth root of 32-2 fourth root of 162	$3 \sqrt[4]{32} - 2 \sqrt[4]{162}$
206082	Factor	8x^7-4x^5-18x^3+9x	$8 x^{7} - 4 x^{5} - 18 x^{3} + 9 x$
206083	Graph	-((12n)/(4n^5))^3	$- {(\frac{12 n}{4 n^{5}})}^{3}$
206084	Simplify	square root of 5x square root of 15	$\sqrt{5 x} \sqrt{15}$
206085	Evaluate	4v^3*vu^2	$4 v^{3} \cdot v u^{2}$
206086	Multiply	4v^3*vu^2	$4 v^{3} \cdot v u^{2}$
206087	Find the Axis of Symmetry	y^2=x+81	$y^{2} = x + 81$
206088	Solve for y	1/4-2/3y=3/4-1/3y	$\frac{1}{4} - \frac{2}{3} y = \frac{3}{4} - \frac{1}{3} y$
206089	Solve for x	36^(-4x-6)=(1/6)^(2x^2-12)	$36^{- 4 x - 6} = {(\frac{1}{6})}^{2 x^{2} - 12}$
206090	Solve for s	-7/3(12s+24)+14=-14	$- \frac{7}{3} (12 s + 24) + 14 = - 14$
206091	Solve for p	1/3(p+9)=3+2(p-6)	$\frac{1}{3} (p + 9) = 3 + 2 (p - 6)$
206092	Evaluate	(120÷20)÷(2*3)	$(120 \div 20) \div (2 \cdot 3)$
206093	Find the Domain and Range	f(x)=-1/5 square root of x-1-4	$f (x) = - \frac{1}{5} \sqrt{x - 1} - 4$
206094	Graph	-6x>-18 and 1<=2x+5	$- 6 x > - 18$ and $1 \leq 2 x + 5$
206095	Solve for x	sec(x)^2+sec(x)-2=0	$\sec^{2} (x) + \sec (x) - 2 = 0$
206096	Simplify	(x+y^2)^2	${(x + y^{2})}^{2}$
206097	Simplify	((x^5y^2)^2)/(x^-3y^7)	$\frac{{(x^{5} y^{2})}^{2}}{x^{- 3} y^{7}}$
206098	Find the Roots (Zeros)	x^4+7x^3+10x^2=0	$x^{4} + 7 x^{3} + 10 x^{2} = 0$
206099	Write in Standard Form	2x-y^2=4y+10	$2 x - y^{2} = 4 y + 10$
206100	Simplify	4^0+2^-1	$4^{0} + 2^{- 1}$