Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219001	Solve the Inequality for x	-3x^2+57<=3x-3	$- 3 x^{2} + 57 \leq 3 x - 3$
219002	Factor	5x^2y+20x^3-5x^4y	$5 x^{2} y + 20 x^{3} - 5 x^{4} y$
219003	Factor	x^4-9x^2+4x+12	$x^{4} - 9 x^{2} + 4 x + 12$
219004	Solve for g	-31/3=-1/2g	$- \frac{31}{3} = - \frac{1}{2} g$
219005	Find the Exact Value	(( square root of 2)/2)/(-( square root of 2)/2)	$\frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$
219006	Simplify	(x^2+17x+70)-(x+7)	$(x^{2} + 17 x + 70) - (x + 7)$
219007	Describe the Transformation	y=3 square root of x-3+2	$y = 3 \sqrt{x - 3} + 2$
219008	Simplify	(5n9)2n	$(5 n \cdot 9) \cdot 2 n$
219009	Evaluate	(1-cos(x)^2)(1+cot(x)^2)=0	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x)) = 0$
219010	Simplify	square root of 300a^3b^3- square root of 48ab	$\sqrt{300 a^{3} b^{3}} - \sqrt{48 a b}$
219011	Simplify	- square root of 1^4	$- \sqrt{1^{4}}$
219012	Write as a Single Logarithm	log base 2 of 15+ log base 2 of 4- log base 2 of 6	$\log_{2} (15) + \log_{2} (4) - \log_{2} (6)$
219013	Solve for x	9x+9-3x-3=3x+3+3x+3	$9 x + 9 - 3 x - 3 = 3 x + 3 + 3 x + 3$
219014	Solve for x	11-(3x+1)=7(x-6)+2	$11 - (3 x + 1) = 7 (x - 6) + 2$
219015	Simplify	((x^(1/2)y)^(2/3))^3	${({(x^{\frac{1}{2}} y)}^{\frac{2}{3}})}^{3}$
219016	Simplify	square root of 13* square root of -6	$\sqrt{13} \cdot \sqrt{- 6}$
219017	Evaluate	20-10\|7-4(1+1)\|	$20 - 10 \| 7 - 4 (1 + 1) \|$
219018	Solve for s	2r=8t-4s	$2 r = 8 t - 4 s$
219019	Evaluate	-2.5(-3+4n+8)	$- 2.5 (- 3 + 4 n + 8)$
219020	Solve the System of Equations	x+2y=-6 x+y=-1	$x + 2 y = - 6$ $x + y = - 1$
219021	Solve the System of Inequalities	x^2+y^2<=13 5x^2-y^2>=11	$x^{2} + y^{2} \leq 13$ $5 x^{2} - y^{2} \geq 11$
219022	Simplify	2 square root of 2+ square root of 20	$2 \sqrt{2} + \sqrt{20}$
219023	Find All Complex Solutions	2/(x-3)+1/x=(x-1)/(x-3)	$\frac{2}{x - 3} + \frac{1}{x} = \frac{x - 1}{x - 3}$
219024	Solve for x	y=2x-pq	$y = 2 x - p q$
219025	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-5) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(- 6, - 5)$ and has a slope of $- \frac{1}{2}$ ?
219026	Solve for x	2^x=(4^(x^3))/(8^(x^2))	$2^{x} = \frac{4^{x^{3}}}{8^{x^{2}}}$
219027	Solve the System of Equations	3d-e=7 d+e=5	$3 d - e = 7$ $d + e = 5$
219028	Identify the Sequence	1 , 3/2 , 2 , 5/2	$1$ , $\frac{3}{2}$ , $2$ , $\frac{5}{2}$
219029	Find the Exact Value	cos((pi/3)/2)	$\cos (\frac{\frac{π}{3}}{2})$
219030	Factor	2x^3-16x^2-40x=0	$2 x^{3} - 16 x^{2} - 40 x = 0$
219031	Simplify	cos(x)^2+tan(x)sin(x)cos(x)	$\cos^{2} (x) + \tan (x) \sin (x) \cos (x)$
219032	Simplify	square root of 121+ square root of 50	$\sqrt{121} + \sqrt{50}$
219033	Simplify	(8rs^2-6)^2	${(8 r s^{2} - 6)}^{2}$
219034	Simplify	square root of r^2-1(1+(r^2)/(r^2-1))+2r-(1+r/( square root of r^2-1))/(r+ square root of r^2-1)	$\sqrt{r^{2} - 1} (1 + \frac{r^{2}}{r^{2} - 1}) + 2 r - \frac{1 + \frac{r}{\sqrt{r^{2} - 1}}}{r + \sqrt{r^{2} - 1}}$
219035	Factor	(4x-3)^2+8x(4x-3)	${(4 x - 3)}^{2} + 8 x (4 x - 3)$
219036	Solve for x	(3x)/(x-3)-(x+5)/(x+9)=x/(x-3)	$\frac{3 x}{x - 3} - \frac{x + 5}{x + 9} = \frac{x}{x - 3}$
219037	Determine if Perpendicular	Are the lines defined by the equations 5y+x=10 and y=5x+4 perpendicular?	Are the lines defined by the equations $5 y + x = 10$ and $y = 5 x + 4$ perpendicular?
219038	Evaluate	sin(theta)=1/( square root of 2)	$\sin (θ) = \frac{1}{\sqrt{2}}$
219039	Solve for a	limit as x approaches -4 of (4x^2+4x-8)/(ax^2+bx+8)=9/5	$lim_{x \to - 4} \frac{4 x^{2} + 4 x - 8}{a x^{2} + b x + 8} = \frac{9}{5}$
219040	Solve for x	3x^3+5=29	$3 x^{3} + 5 = 29$
219041	Simplify	(2 square root of 27-3 square root of 12+ square root of 24)/( square root of 3)	$\frac{2 \sqrt{27} - 3 \sqrt{12} + \sqrt{24}}{\sqrt{3}}$
219042	Solve the Inequality for w	5<3+w	$5 < 3 + w$
219043	Simplify	((p-7)/8)÷((p+5)/(8p+8))	$\frac{p - 7}{8} \div \frac{p + 5}{8 p + 8}$
219044	Simplify	( fourth root of 36* fourth root of 216)/( fourth root of 6)	$\frac{\sqrt[4]{36} \cdot \sqrt[4]{216}}{\sqrt[4]{6}}$
219045	Identify the Sequence	3 , 12 , 48 ; dots	$3$ , $12$ , $48$ ; dots
219046	Simplify	(m^5y^-6)(m^-5y^-2)	$(m^{5} y^{- 6}) (m^{- 5} y^{- 2})$
219047	Simplify	(-1)-(3)+(-8)	$(- 1) - (3) + (- 8)$
219048	Solve for x	y+x=ax	$y + x = a x$
219049	Graph	f(x)=(x+1)(x-2)(x-5)(2x+6)	$f (x) = (x + 1) (x - 2) (x - 5) (2 x + 6)$
219050	Determine if Dependent, Independent, or Inconsistent	y=2x+3 x+y=-3	$y = 2 x + 3$ $x + y = - 3$
219051	Solve in Terms of the Arbitrary Variable a	n=2 , a=36	$n = 2$ , $a = 36$
219052	Divide	square root of 7* cube root of 7	$\sqrt{7} \cdot \sqrt[3]{7}$
219053	Solve for p	\|-9p-585\|=225	$\| - 9 p - 585 \| = 225$
219054	Solve the Absolute Value Inequality for x	15=5\|3x+3\|	$15 = 5 \| 3 x + 3 \|$
219055	Find the Domain and Range	f(x)=\|6-X\|	$f (x) = \| 6 - X \|$
219056	Factor	2x(x-5)+3(x-5)+(x-5)	$2 x (x - 5) + 3 (x - 5) + (x - 5)$
219057	Simplify	(a+2)/(3a)+(b-1)/(5b)	$\frac{a + 2}{3 a} + \frac{b - 1}{5 b}$
219058	Factor by Grouping	6xy^3+12x^4y^4	$6 x y^{3} + 12 x^{4} y^{4}$
219059	Simplify	((3y^4n^6)^2)/((y^2n^-3)^4)	$\frac{{(3 y^{4} n^{6})}^{2}}{{(y^{2} n^{- 3})}^{4}}$
219060	Simplify	(5(14-2)^2)÷2	$5 {(14 - 2)}^{2} \div 2$
219061	Simplify	2/(4p-20)+(p-6)/(p^2-8p+15)	$\frac{2}{4 p - 20} + \frac{p - 6}{p^{2} - 8 p + 15}$
219062	Evaluate Using the Given Value	x^2-2x+3 when x=-3	$x^{2} - 2 x + 3$ when $x = - 3$
219063	Simplify	(2y)(4y^3)+(3y^2)(5y^2)	$(2 y) (4 y^{3}) + (3 y^{2}) (5 y^{2})$
219064	Simplify	(20x^2y)/(4x)	$\frac{20 x^{2} y}{4 x}$
219065	Solve for θ	theta=(1pi)/4	$θ = \frac{1 π}{4}$
219066	Solve for θ	90 degrees <theta<180 degrees	$90 ° < θ < 180 °$
219067	Simplify	(4-x^2)/(3- square root of x^2+5)	$\frac{4 - x^{2}}{3 - \sqrt{x^{2} + 5}}$
219068	Find the Degree	2xy^2-5y^5	$2 x y^{2} - 5 y^{5}$
219069	Solve the System of Equations	3x-4y+6z=-27 x+5y-2z=18 5x+y-3z=-8	$3 x - 4 y + 6 z = - 27$ $x + 5 y - 2 z = 18$ $5 x + y - 3 z = - 8$
219070	Simplify	(5^-2*4^-4)^-2	${(5^{- 2} \cdot 4^{- 4})}^{- 2}$
219071	Simplify	10/( square root of 96)	$\frac{10}{\sqrt{96}}$
219072	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 5)$ and has a slope of $- \frac{1}{4}$ ?
219073	Solve for x	49/14=(9x+1)/(x+5)	$\frac{49}{14} = \frac{9 x + 1}{x + 5}$
219074	Find the Exact Value	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
219075	Solve the System of Equations	x-y=1 x-y=6	$x - y = 1$ $x - y = 6$
219076	Simplify	square root of 4x* fourth root of 81x^2	$\sqrt{4 x} \cdot \sqrt[4]{81 x^{2}}$
219077	Simplify	4+6x-4	$4 + 6 x - 4$
219078	Find the Inverse	f(x)=(10-x)/(2x)	$f (x) = \frac{10 - x}{2 x}$
219079	Solve for x	\|x-3/2\|=9	$\| x - \frac{3}{2} \| = 9$
219080	Find the Exact Value	(- square root of 3)/2	$\frac{- \sqrt{3}}{2}$
219081	Solve for x	(3x)/(x^2-10x-11)-7/(x-11)=1/(x+1)	$\frac{3 x}{x^{2} - 10 x - 11} - \frac{7}{x - 11} = \frac{1}{x + 1}$
219082	Simplify	1/y-1/(x^2y^2)	$\frac{1}{y} - \frac{1}{x^{2} y^{2}}$
219083	Solve the Inequality for x	4x<2x+1<=3x+2	$4 x < 2 x + 1 \leq 3 x + 2$
219084	Graph	-8x+6y<3x-30	$- 8 x + 6 y < 3 x - 30$
219085	Simplify	1/15+1/(3x^3)	$\frac{1}{15} + \frac{1}{3 x^{3}}$
219086	Solve the Inequality for y	-5/y<0	$- \frac{5}{y} < 0$
219087	Simplify	5/(3x)-3	$\frac{5}{3 x} - 3$
219088	Simplify	(x-y)(x+y)(x^2-y^2)	$(x - y) (x + y) (x^{2} - y^{2})$
219089	Solve the Rational Equation for x	(3x)/(x+5)+1/(x-2)=7/(x^2+3x-10)	$\frac{3 x}{x + 5} + \frac{1}{x - 2} = \frac{7}{x^{2} + 3 x - 10}$
219090	Write in Standard Form	-5=6y+x	$- 5 = 6 y + x$
219091	Simplify	(a^2)/(4/5-4/a)	$\frac{a^{2}}{\frac{4}{5} - \frac{4}{a}}$
219092	Solve the Inequality for n	(n+3)/2>-2	$\frac{n + 3}{2} > - 2$
219093	Subtract	(-3f-4g+9)-(2-6f+5g)	$(- 3 f - 4 g + 9) - (2 - 6 f + 5 g)$
219094	Factor by Grouping	mx+my+6x+6y	$m x + m y + 6 x + 6 y$
219095	Solve the Inequality for x	2<=4(x+1)+3x+6	$2 \leq 4 (x + 1) + 3 x + 6$
219096	Simplify	((1+i/2)^2)/((1+i/2)-1)	$\frac{{(1 + \frac{i}{2})}^{2}}{(1 + \frac{i}{2}) - 1}$
219097	Simplify the Radical Expression	(3125x^5)^(1/5)	${(3125 x^{5})}^{\frac{1}{5}}$
219098	Solve the Inequality for x	(3-x)(x+6)>=0	$(3 - x) (x + 6) \geq 0$
219099	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-6) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(- 5, - 6)$ and has a slope of $\frac{3}{5}$ ?
219100	Simplify	(1/4+5/4)/4	$\frac{\frac{1}{4} + \frac{5}{4}}{4}$