Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211001	Solve the Inequality for x	(\|2x+1\|)/3>=5	$\frac{\| 2 x + 1 \|}{3} \geq 5$
211002	Simplify	(2x^5+x^4-4x^2)-(x^5-3)	$(2 x^{5} + x^{4} - 4 x^{2}) - (x^{5} - 3)$
211003	Simplify	square root of 4x^3* fourth root of 256x^2	$\sqrt{4 x^{3}} \cdot \sqrt[4]{256 x^{2}}$
211004	Solve the Inequality for x	5/(x+3)<5	$\frac{5}{x + 3} < 5$
211005	Evaluate	15% of 200	$15 %$ of $200$
211006	Solve for x	cube root of 486-27x^3=3x	$\sqrt[3]{486 - 27 x^{3}} = 3 x$
211007	Solve for x	(3x-2)(x+4)-3(x+5)(x-1)=0	$(3 x - 2) (x + 4) - 3 (x + 5) (x - 1) = 0$
211008	Solve for x	x^3+x^2-22x-40=(x+2)(x+4)(x-5)	$x^{3} + x^{2} - 22 x - 40 = (x + 2) (x + 4) (x - 5)$
211009	Simplify	(17-2x)/x+(10-x)/x	$\frac{17 - 2 x}{x} + \frac{10 - x}{x}$
211010	Find the Product	4n(5n^2-7n-3)	$4 n (5 n^{2} - 7 n - 3)$
211011	Solve for x	1/4x+18=x	$\frac{1}{4} x + 18 = x$
211012	Solve for x	Solve ( square root of 7)^(6x)=49^(x-6)	Solve ${(\sqrt{7})}^{6 x} = 49^{x - 6}$
211013	Simplify the Radical Expression	fourth root of (x^2)/(x^(2/3))	$\sqrt[4]{\frac{x^{2}}{x^{\frac{2}{3}}}}$
211014	Find the Inverse	f(x)=(7-5x)/(5x+2)	$f (x) = \frac{7 - 5 x}{5 x + 2}$
211015	Simplify the Radical Expression	square root of 3^2	$\sqrt{3^{2}}$
211016	Solve for x	square root of x^12=x^6	$\sqrt{x^{12}} = x^{6}$
211017	Solve the Rational Equation for y	square root of 5y+1 = square root of 3y+1	$\sqrt{5 y + 1} = \sqrt{3 y + 1}$
211018	Divide Using Long Polynomial Division	(2x^3+x^2-24x+27)/(2x-3)	$\frac{2 x^{3} + x^{2} - 24 x + 27}{2 x - 3}$
211019	Simplify	10(x-2)-5(x^2-7x)+x(3x+6)	$10 (x - 2) - 5 (x^{2} - 7 x) + x (3 x + 6)$
211020	Simplify	x*x1/2	$x \cdot x \frac{1}{2}$
211021	Solve for x	32^(x+6)*1/2=8^(x-1)	$32^{x + 6} \cdot \frac{1}{2} = 8^{x - 1}$
211022	Multiply	cube root of 4x^2* cube root of 8x^7	$\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{7}}$
211023	Evaluate	1/3 square root of 0.81-1	$\frac{1}{3} \sqrt{0.81} - 1$
211024	Simplify	(4x+5)(x-1)(x+4)(x-1)	$(4 x + 5) (x - 1) (x + 4) (x - 1)$
211025	Solve for θ	2cos(theta)*sin(theta)=-sin(theta)	$2 \cos (θ) \cdot \sin (θ) = - \sin (θ)$
211026	Simplify	x^2y cube root of 125x^6y^3	$x^{2} y \sqrt[3]{125 x^{6} y^{3}}$
211027	Graph	m=-2 and (2,4)	$m = - 2$ and $(2, 4)$
211028	Divide	(x^5-10x^2-8)÷(x-2)	$(x^{5} - 10 x^{2} - 8) \div (x - 2)$
211029	Simplify	2x^2-y^1+3x^0	$2 x^{2} - y^{1} + 3 x^{0}$
211030	Find the Slope and y-intercept	y=x+1/2	$y = x + \frac{1}{2}$
211031	Simplify	3^0*10^-4	$3^{0} \cdot 10^{- 4}$
211032	Simplify	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
211033	Rationalize the Denominator	square root of 5/4	$\sqrt{\frac{5}{4}}$
211034	Graph	x+y=3 8x+y=-4	$x + y = 3$ $8 x + y = - 4$
211035	Simplify	(x^2(x-8))/(x(x-8))	$\frac{x^{2} (x - 8)}{x (x - 8)}$
211036	Simplify	5^-8*5^4	$5^{- 8} \times 5^{4}$
211037	Simplify	(-4x^-3y^-5)^2	${(- 4 x^{- 3} y^{- 5})}^{2}$
211038	Divide	((x^2-5x-36)/(x+2))÷(x^2-18x+81)	$\frac{x^{2} - 5 x - 36}{x + 2} \div (x^{2} - 18 x + 81)$
211039	Find the Exact Value	i^-2	$i^{- 2}$
211040	Solve for L	6=2pi square root of (L+4)/9.8	$6 = 2 π \sqrt{\frac{L + 4}{9.8}}$
211041	Solve for c	4x^2+cy^2+2x-2y-18=0	$4 x^{2} + c y^{2} + 2 x - 2 y - 18 = 0$
211042	Determine if a Polynomial	m^4 square root of n	$m^{4} \sqrt{n}$
211043	Convert to Radical Form	(x^2+4)^(-5/4)	${(x^{2} + 4)}^{- \frac{5}{4}}$
211044	Simplify	-3+6i-4i(-5-2i)+8i^3	$- 3 + 6 i - 4 i (- 5 - 2 i) + 8 i^{3}$
211045	Simplify	(2x-3)+(2x-5x^2+13)-(x^2-1)	$(2 x - 3) + (2 x - 5 x^{2} + 13) - (x^{2} - 1)$
211046	Multiply	square root of 4* square root of 4	$\sqrt{4} \cdot \sqrt{4}$
211047	Solve for x	2(1-5/2x)+5x=2	$2 (1 - \frac{5}{2} x) + 5 x = 2$
211048	Find the Product	-2x^2(x^2+3x+4)	$- 2 x^{2} (x^{2} + 3 x + 4)$
211049	Graph	x+2y=6 x-y=3	$x + 2 y = 6$ $x - y = 3$
211050	Find the Degree, Leading Term, and Leading Coefficient	x^2-10x^3-1/7	$x^{2} - 10 x^{3} - \frac{1}{7}$
211051	Find All Complex Solutions	tan(x)^2=sec(x)-1	$\tan^{2} (x) = \sec (x) - 1$
211052	Evaluate	(8-y)/(3y)+(y+2)/(9y)-2/(6y)	$\frac{8 - y}{3 y} + \frac{y + 2}{9 y} - \frac{2}{6 y}$
211053	Solve the Inequality for x	3x-4>4-(x+6)	$3 x - 4 > 4 - (x + 6)$
211054	Simplify	6xy-2x^2-(3xy+4x^2+1)-(-xy-2x^2-1)	$6 x y - 2 x^{2} - (3 x y + 4 x^{2} + 1) - (- x y - 2 x^{2} - 1)$
211055	Multiply	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
211056	Simplify	3/(x^2-4)-(x+5)/(x+2)	$\frac{3}{x^{2} - 4} - \frac{x + 5}{x + 2}$
211057	Graph	f(x)=x/(\|x\|)+(x-1)/(\|x-1\|)	$f (x) = \frac{x}{\| x \|} + \frac{x - 1}{\| x - 1 \|}$
211058	Simplify	3x^2(2xy-3xy^2)	$3 x^{2} (2 x y - 3 x y^{2})$
211059	Evaluate	square root of 1^2+2^2+3^2	$\sqrt{1^{2} + 2^{2} + 3^{2}}$
211060	Solve for y	2x+y=3x-7	$2 x + y = 3 x - 7$
211061	Multiply	x(2x^2+3x)	$x (2 x^{2} + 3 x)$
211062	Evaluate	(3.14*2.4367)-2.34	$(3.14 \times 2.4367) - 2.34$
211063	Evaluate	(1^-1)/2	$\frac{1^{- 1}}{2}$
211064	Graph	y=-x-4 x+y=5	$y = - x - 4$ $x + y = 5$
211065	Simplify	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
211066	Simplify	((y^3)/4-1/(y^3))^2	${(\frac{y^{3}}{4} - \frac{1}{y^{3}})}^{2}$
211067	Factor	x^3+x^2-4x-4=0	$x^{3} + x^{2} - 4 x - 4 = 0$
211068	Solve for p	3p-16=4(p-5)+p+4	$3 p - 16 = 4 (p - 5) + p + 4$
211069	Solve for p	3125=(-1-18p)^(5/3)	$3125 = {(- 1 - 18 p)}^{\frac{5}{3}}$
211070	Simplify	9^(-3/4)*9^(-3/4)	$9^{- \frac{3}{4}} \cdot 9^{- \frac{3}{4}}$
211071	Evaluate	5(-1/3)^3-3(-1/3)^2+2(-1/3)+4	$5 {(- \frac{1}{3})}^{3} - 3 {(- \frac{1}{3})}^{2} + 2 (- \frac{1}{3}) + 4$
211072	Evaluate	\|4(-3)+2\|	$\| 4 (- 3) + 2 \|$
211073	Divide	(9x^3y^2+15x^2y-6x^2)/(3x^2)	$\frac{9 x^{3} y^{2} + 15 x^{2} y - 6 x^{2}}{3 x^{2}}$
211074	Simplify	(3m-n)/(3m^2n)-(2n-m)/(2mn^2)	$\frac{3 m - n}{3 m^{2} n} - \frac{2 n - m}{2 m n^{2}}$
211075	Solve the System of Inequalities	x+7>(-2) and y-5<9	$x + 7 > (- 2)$ and $y - 5 < 9$
211076	Solve Using the Quadratic Formula	-4/3x^2-15=201	$- \frac{4}{3} x^{2} - 15 = 201$
211077	Subtract	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
211078	Evaluate	(- square root of -1)	$(- \sqrt{- 1})$
211079	Factor by Grouping	2x-5xy+30y-12	$2 x - 5 x y + 30 y - 12$
211080	Evaluate	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
211081	Simplify	(-8+i)-(2i)-3	$(- 8 + i) - (2 i) - 3$
211082	Simplify	x^-4y^-4z^-1*2yx^3z^-3	$x^{- 4} y^{- 4} z^{- 1} \cdot 2 y x^{3} z^{- 3}$
211083	Simplify	(-2/3)^-3	${(- \frac{2}{3})}^{- 3}$
211084	Solve for x	3(x-2)-1=2(x-5(x+4))	$3 (x - 2) - 1 = 2 (x - 5 (x + 4))$
211085	Solve for c	-36=-9(c-12)^(1/2)	$- 36 = - 9 {(c - 12)}^{\frac{1}{2}}$
211086	Evaluate	fourth root of 16(x-3)^12	$\sqrt[4]{16 {(x - 3)}^{12}}$
211087	Convert to a Decimal	cos(45)deg	$\cos (45)$ degrees
211088	Simplify	square root of 5x- square root of 45x+ cube root of 81x- cube root of 24x	$\sqrt{5 x} - \sqrt{45 x} + \sqrt[3]{81 x} - \sqrt[3]{24 x}$
211089	Simplify	(6+4w)*15	$(6 + 4 w) \times 15$
211090	Solve the Inequality for x	3x-y<10	$3 x - y < 10$
211091	Evaluate	( square root of 4-2)/(4-4)	$\frac{\sqrt{4} - 2}{4 - 4}$
211092	Simplify	(10x^6y^4)^2+11x^5y*4x^7y^7	${(10 x^{6} y^{4})}^{2} + 11 x^{5} y \cdot 4 x^{7} y^{7}$
211093	Find the GCF	24x^3-9x^2y^2-12y	$24 x^{3} - 9 x^{2} y^{2} - 12 y$
211094	Solve Using the Quadratic Formula	(5x+8)^2-8=35	${(5 x + 8)}^{2} - 8 = 35$
211095	Combine Like Terms	3x^2-3-7x-6x^2+5	$3 x^{2} - 3 - 7 x - 6 x^{2} + 5$
211096	Simplify	(3x)^(2/3)(3x)^(7/3)	${(3 x)}^{\frac{2}{3}} {(3 x)}^{\frac{7}{3}}$
211097	Simplify	(x^12y^0z^9)^(1/3)	${(x^{12} y^{0} z^{9})}^{\frac{1}{3}}$
211098	Simplify	(4xy^2)/(x^-4)	$\frac{4 x y^{2}}{x^{- 4}}$
211099	Find the Inverse	f(x) = square root of 9x^2	$f (x) = \sqrt{9 x^{2}}$
211100	Simplify	(a^-1b^(-1/3)a^(-4/3)*b^2)^2	${(a^{- 1} \cdot b^{- \frac{1}{3}} \cdot a^{- \frac{4}{3}} \cdot b^{2})}^{2}$