Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211001	Solve for x	square root of x^12=x^6	$\sqrt{x^{12}} = x^{6}$
211002	Solve the Rational Equation for y	square root of 5y+1 = square root of 3y+1	$\sqrt{5 y + 1} = \sqrt{3 y + 1}$
211003	Divide Using Long Polynomial Division	(2x^3+x^2-24x+27)/(2x-3)	$\frac{2 x^{3} + x^{2} - 24 x + 27}{2 x - 3}$
211004	Simplify	10(x-2)-5(x^2-7x)+x(3x+6)	$10 (x - 2) - 5 (x^{2} - 7 x) + x (3 x + 6)$
211005	Simplify	x*x1/2	$x \cdot x \frac{1}{2}$
211006	Solve for x	32^(x+6)*1/2=8^(x-1)	$32^{x + 6} \cdot \frac{1}{2} = 8^{x - 1}$
211007	Multiply	cube root of 4x^2* cube root of 8x^7	$\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{7}}$
211008	Evaluate	1/3 square root of 0.81-1	$\frac{1}{3} \sqrt{0.81} - 1$
211009	Simplify	(4x+5)(x-1)(x+4)(x-1)	$(4 x + 5) (x - 1) (x + 4) (x - 1)$
211010	Solve for θ	2cos(theta)*sin(theta)=-sin(theta)	$2 \cos (θ) \cdot \sin (θ) = - \sin (θ)$
211011	Simplify	x^2y cube root of 125x^6y^3	$x^{2} y \sqrt[3]{125 x^{6} y^{3}}$
211012	Graph	m=-2 and (2,4)	$m = - 2$ and $(2, 4)$
211013	Divide	(x^5-10x^2-8)÷(x-2)	$(x^{5} - 10 x^{2} - 8) \div (x - 2)$
211014	Simplify	2x^2-y^1+3x^0	$2 x^{2} - y^{1} + 3 x^{0}$
211015	Find the Slope and y-intercept	y=x+1/2	$y = x + \frac{1}{2}$
211016	Simplify	3^0*10^-4	$3^{0} \cdot 10^{- 4}$
211017	Simplify	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
211018	Rationalize the Denominator	square root of 5/4	$\sqrt{\frac{5}{4}}$
211019	Graph	x+y=3 8x+y=-4	$x + y = 3$ $8 x + y = - 4$
211020	Simplify	(x^2(x-8))/(x(x-8))	$\frac{x^{2} (x - 8)}{x (x - 8)}$
211021	Simplify	5^-8*5^4	$5^{- 8} \times 5^{4}$
211022	Simplify	(-4x^-3y^-5)^2	${(- 4 x^{- 3} y^{- 5})}^{2}$
211023	Divide	((x^2-5x-36)/(x+2))÷(x^2-18x+81)	$\frac{x^{2} - 5 x - 36}{x + 2} \div (x^{2} - 18 x + 81)$
211024	Find the Exact Value	i^-2	$i^{- 2}$
211025	Solve for L	6=2pi square root of (L+4)/9.8	$6 = 2 π \sqrt{\frac{L + 4}{9.8}}$
211026	Solve for c	4x^2+cy^2+2x-2y-18=0	$4 x^{2} + c y^{2} + 2 x - 2 y - 18 = 0$
211027	Determine if a Polynomial	m^4 square root of n	$m^{4} \sqrt{n}$
211028	Convert to Radical Form	(x^2+4)^(-5/4)	${(x^{2} + 4)}^{- \frac{5}{4}}$
211029	Simplify	-3+6i-4i(-5-2i)+8i^3	$- 3 + 6 i - 4 i (- 5 - 2 i) + 8 i^{3}$
211030	Simplify	(2x-3)+(2x-5x^2+13)-(x^2-1)	$(2 x - 3) + (2 x - 5 x^{2} + 13) - (x^{2} - 1)$
211031	Multiply	square root of 4* square root of 4	$\sqrt{4} \cdot \sqrt{4}$
211032	Solve for x	2(1-5/2x)+5x=2	$2 (1 - \frac{5}{2} x) + 5 x = 2$
211033	Find the Product	-2x^2(x^2+3x+4)	$- 2 x^{2} (x^{2} + 3 x + 4)$
211034	Graph	x+2y=6 x-y=3	$x + 2 y = 6$ $x - y = 3$
211035	Find the Degree, Leading Term, and Leading Coefficient	x^2-10x^3-1/7	$x^{2} - 10 x^{3} - \frac{1}{7}$
211036	Find All Complex Solutions	tan(x)^2=sec(x)-1	$\tan^{2} (x) = \sec (x) - 1$
211037	Evaluate	(8-y)/(3y)+(y+2)/(9y)-2/(6y)	$\frac{8 - y}{3 y} + \frac{y + 2}{9 y} - \frac{2}{6 y}$
211038	Solve the Inequality for x	3x-4>4-(x+6)	$3 x - 4 > 4 - (x + 6)$
211039	Simplify	6xy-2x^2-(3xy+4x^2+1)-(-xy-2x^2-1)	$6 x y - 2 x^{2} - (3 x y + 4 x^{2} + 1) - (- x y - 2 x^{2} - 1)$
211040	Multiply	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
211041	Simplify	3/(x^2-4)-(x+5)/(x+2)	$\frac{3}{x^{2} - 4} - \frac{x + 5}{x + 2}$
211042	Graph	f(x)=x/(\|x\|)+(x-1)/(\|x-1\|)	$f (x) = \frac{x}{\| x \|} + \frac{x - 1}{\| x - 1 \|}$
211043	Simplify	3x^2(2xy-3xy^2)	$3 x^{2} (2 x y - 3 x y^{2})$
211044	Evaluate	square root of 1^2+2^2+3^2	$\sqrt{1^{2} + 2^{2} + 3^{2}}$
211045	Solve for y	2x+y=3x-7	$2 x + y = 3 x - 7$
211046	Multiply	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
211047	Evaluate	(3.14*2.4367)-2.34	$(3.14 \times 2.4367) - 2.34$
211048	Evaluate	(1^-1)/2	$\frac{1^{- 1}}{2}$
211049	Graph	y=-x-4 x+y=5	$y = - x - 4$ $x + y = 5$
211050	Simplify	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
211051	Simplify	((y^3)/4-1/(y^3))^2	${(\frac{y^{3}}{4} - \frac{1}{y^{3}})}^{2}$
211052	Factor	x^3+x^2-4x-4=0	$x^{3} + x^{2} - 4 x - 4 = 0$
211053	Solve for p	3p-16=4(p-5)+p+4	$3 p - 16 = 4 (p - 5) + p + 4$
211054	Solve for p	3125=(-1-18p)^(5/3)	$3125 = {(- 1 - 18 p)}^{\frac{5}{3}}$
211055	Simplify	9^(-3/4)*9^(-3/4)	$9^{- \frac{3}{4}} \cdot 9^{- \frac{3}{4}}$
211056	Evaluate	5(-1/3)^3-3(-1/3)^2+2(-1/3)+4	$5 {(- \frac{1}{3})}^{3} - 3 {(- \frac{1}{3})}^{2} + 2 (- \frac{1}{3}) + 4$
211057	Evaluate	\|4(-3)+2\|	$\| 4 (- 3) + 2 \|$
211058	Divide	(9x^3y^2+15x^2y-6x^2)/(3x^2)	$\frac{9 x^{3} y^{2} + 15 x^{2} y - 6 x^{2}}{3 x^{2}}$
211059	Simplify	(3m-n)/(3m^2n)-(2n-m)/(2mn^2)	$\frac{3 m - n}{3 m^{2} n} - \frac{2 n - m}{2 m n^{2}}$
211060	Solve the System of Inequalities	x+7>(-2) and y-5<9	$x + 7 > (- 2)$ and $y - 5 < 9$
211061	Solve Using the Quadratic Formula	-4/3x^2-15=201	$- \frac{4}{3} x^{2} - 15 = 201$
211062	Subtract	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
211063	Evaluate	(- square root of -1)	$(- \sqrt{- 1})$
211064	Factor by Grouping	2x-5xy+30y-12	$2 x - 5 x y + 30 y - 12$
211065	Evaluate	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
211066	Simplify	(-8+i)-(2i)-3	$(- 8 + i) - (2 i) - 3$
211067	Simplify	x^-4y^-4z^-1*2yx^3z^-3	$x^{- 4} y^{- 4} z^{- 1} \cdot 2 y x^{3} z^{- 3}$
211068	Simplify	(-2/3)^-3	${(- \frac{2}{3})}^{- 3}$
211069	Solve for x	3(x-2)-1=2(x-5(x+4))	$3 (x - 2) - 1 = 2 (x - 5 (x + 4))$
211070	Solve for c	-36=-9(c-12)^(1/2)	$- 36 = - 9 {(c - 12)}^{\frac{1}{2}}$
211071	Evaluate	fourth root of 16(x-3)^12	$\sqrt[4]{16 {(x - 3)}^{12}}$
211072	Convert to a Decimal	cos(45)deg	$\cos (45)$ degrees
211073	Simplify	square root of 5x- square root of 45x+ cube root of 81x- cube root of 24x	$\sqrt{5 x} - \sqrt{45 x} + \sqrt[3]{81 x} - \sqrt[3]{24 x}$
211074	Simplify	(6+4w)*15	$(6 + 4 w) \times 15$
211075	Solve the Inequality for x	3x-y<10	$3 x - y < 10$
211076	Evaluate	( square root of 4-2)/(4-4)	$\frac{\sqrt{4} - 2}{4 - 4}$
211077	Simplify	(10x^6y^4)^2+11x^5y*4x^7y^7	${(10 x^{6} y^{4})}^{2} + 11 x^{5} y \cdot 4 x^{7} y^{7}$
211078	Find the GCF	24x^3-9x^2y^2-12y	$24 x^{3} - 9 x^{2} y^{2} - 12 y$
211079	Solve Using the Quadratic Formula	(5x+8)^2-8=35	${(5 x + 8)}^{2} - 8 = 35$
211080	Combine Like Terms	3x^2-3-7x-6x^2+5	$3 x^{2} - 3 - 7 x - 6 x^{2} + 5$
211081	Simplify	(3x)^(2/3)(3x)^(7/3)	${(3 x)}^{\frac{2}{3}} {(3 x)}^{\frac{7}{3}}$
211082	Simplify	(x^12y^0z^9)^(1/3)	${(x^{12} y^{0} z^{9})}^{\frac{1}{3}}$
211083	Simplify	(4xy^2)/(x^-4)	$\frac{4 x y^{2}}{x^{- 4}}$
211084	Find the Inverse	f(x) = square root of 9x^2	$f (x) = \sqrt{9 x^{2}}$
211085	Simplify	(a^-1b^(-1/3)a^(-4/3)*b^2)^2	${(a^{- 1} \cdot b^{- \frac{1}{3}} \cdot a^{- \frac{4}{3}} \cdot b^{2})}^{2}$
211086	Find the LCD	(7x)/(5x+10) and (-5x)/(x+2)	$\frac{7 x}{5 x + 10}$ and $\frac{- 5 x}{x + 2}$
211087	Combine Like Terms	3/4a+8-1/4a-2	$\frac{3}{4} a + 8 - \frac{1}{4} a - 2$
211088	Factor	12a^3+4a^2+3ab+b	$12 a^{3} + 4 a^{2} + 3 a b + b$
211089	Write in Standard Form	f(x)=3(x-6)(x+2)	$f (x) = 3 (x - 6) (x + 2)$
211090	Solve for x	8- square root of x=10	$8 - \sqrt{x} = 10$
211091	Divide	(4+i)/(8i)	$\frac{4 + i}{8 i}$
211092	Solve the Inequality for a	3a+9>5(a-3)	$3 a + 9 > 5 (a - 3)$
211093	Find the LCM	x^2-y^2 and x^2-2xy+y^2	$x^{2} - y^{2}$ and $x^{2} - 2 x y + y^{2}$
211094	Evaluate	i^13i^23i^9	$i^{13} \cdot i^{23} \cdot i^{9}$
211095	Solve for E	E^2+F^2=1	$E^{2} + F^{2} = 1$
211096	Simplify	(-3^-2)/(2^-3)	$\frac{- 3^{- 2}}{2^{- 3}}$
211097	Graph	y<=-5/2\|x-4\|	$y \leq - \frac{5}{2} \| x - 4 \|$
211098	Simplify	(5x-5)/(x^2-2x-15)+(-4x+8)/(x^2-2x-15)	$\frac{5 x - 5}{x^{2} - 2 x - 15} + \frac{- 4 x + 8}{x^{2} - 2 x - 15}$
211099	Find the x and y Intercepts	y=4 log of x+6	$y = 4 \log (x + 6)$
211100	Solve the Inequality for x	x/(x+2)>=2	$\frac{x}{x + 2} \geq 2$