Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24001	Evaluate	-3*180/pi	$- 3 \cdot \frac{180}{π}$
24002	Evaluate	x/(x^2+3x+2)-1/((x+2)(x+1))	$\frac{x}{x^{2} + 3 x + 2} - \frac{1}{(x + 2) (x + 1)}$
24003	Simplify	(y^(1/2))((15xy)/(3x^2))^2+z^3( square root of (4^0)/(z^6))	$(y^{\frac{1}{2}}) {(\frac{15 x y}{3 x^{2}})}^{2} + z^{3} (\sqrt{\frac{4^{0}}{z^{6}}})$
24004	Find the Degree, Leading Term, and Leading Coefficient	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
24005	Solve for n	-5n=2(-2n-20)+n	$- 5 n = 2 (- 2 n - 20) + n$
24006	Rationalize the Denominator	8/(-3- square root of 14)	$\frac{8}{- 3 - \sqrt{14}}$
24007	Simplify	( square root of 4x^3y^3)/(2x^-1y^3)	$\frac{\sqrt{4 x^{3} y^{3}}}{2 x^{- 1} y^{3}}$
24008	Simplify	((g^2)/(5f^2))/(g/(f^3))	$\frac{\frac{g^{2}}{5 f^{2}}}{\frac{g}{f^{3}}}$
24009	Simplify	plus or minus square root of 0.25x^8	$\pm \sqrt{0.25 x^{8}}$
24010	Solve the Inequality for x	x/2-2<=4x+10	$\frac{x}{2} - 2 \leq 4 x + 10$
24011	Find the GCF	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
24012	Solve the Inequality for x	-3x^2+9x+91>=-9x+10	$- 3 x^{2} + 9 x + 91 \geq - 9 x + 10$
24013	Find the Integral	2x square root of x	$2 x \sqrt{x}$
24014	Solve Using the Square Root Property	2(x^2-6)+8=10	$2 (x^{2} - 6) + 8 = 10$
24015	Find the Inflection Points	2/15x^6-x^5-8x^4	$\frac{2}{15} x^{6} - x^{5} - 8 x^{4}$
24016	Solve the Function Operation	f(x)=4x+2 ; Find f(8)	$f (x) = 4 x + 2$ ; Find $f (8)$
24017	Simplify	5/3-3/(4x^3)	$\frac{5}{3} - \frac{3}{4 x^{3}}$
24018	Solve for t	t = square root of d/16	$t = \sqrt{\frac{d}{16}}$
24019	Solve the Inequality for x	-2x^2+2x+89<=5	$- 2 x^{2} + 2 x + 89 \leq 5$
24020	Find the Exact Value	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
24021	Solve for c	5c^2-26c=24	$5 c^{2} - 26 c = 24$
24022	Solve the System of Inequalities	8x-3y<4 9x+2y<-1	$8 x - 3 y < 4$ $9 x + 2 y < - 1$
24023	Simplify	(5/(3x^3))÷(7/(9x^3))	$\frac{5}{3 x^{3}} \div \frac{7}{9 x^{3}}$
24024	Write Using Positive Exponents	(2x^4y^-4z^-3)/(3x^2y^-3z^4)	$\frac{2 x^{4} y^{- 4} z^{- 3}}{3 x^{2} y^{- 3} z^{4}}$
24025	Evaluate	1/2*2/(- square root of 3)	$\frac{1}{2} \cdot \frac{2}{- \sqrt{3}}$
24026	Evaluate the Limit	limit as x approaches pi/3 of -5tan(2x)+cos(x)	$lim_{x \to \frac{π}{3}} - 5 \tan (2 x) + \cos (x)$
24027	Solve the Absolute Value Inequality for x	\|(x-1)/2\|=7	$\| \frac{x - 1}{2} \| = 7$
24028	Simplify	cube root of -27/216	$\sqrt[3]{- \frac{27}{216}}$
24029	Add	(3x-5)/7+(4x+5)/7	$\frac{3 x - 5}{7} + \frac{4 x + 5}{7}$
24030	Divide Using Long Polynomial Division	(x^4-5x^3+4x-17)÷(x-5)	$(x^{4} - 5 x^{3} + 4 x - 17) \div (x - 5)$
24031	Find dy/dx	-xy=y-3+2x	$- x y = y - 3 + 2 x$
24032	Solve the Inequality for x	-3x^2+57<=3x-3	$- 3 x^{2} + 57 \leq 3 x - 3$
24033	Factor	5x^2y+20x^3-5x^4y	$5 x^{2} y + 20 x^{3} - 5 x^{4} y$
24034	Factor	x^4-9x^2+4x+12	$x^{4} - 9 x^{2} + 4 x + 12$
24035	Solve for g	-31/3=-1/2g	$- \frac{31}{3} = - \frac{1}{2} g$
24036	Find the Exact Value	(( square root of 2)/2)/(-( square root of 2)/2)	$\frac{\frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$
24037	Simplify	(x^2+17x+70)-(x+7)	$(x^{2} + 17 x + 70) - (x + 7)$
24038	Describe the Transformation	y=3 square root of x-3+2	$y = 3 \sqrt{x - 3} + 2$
24039	Simplify	(5n9)2n	$(5 n \cdot 9) \cdot 2 n$
24040	Evaluate	(1-cos(x)^2)(1+cot(x)^2)=0	$(1 - \cos^{2} (x)) (1 + \cot^{2} (x)) = 0$
24041	Simplify	square root of 300a^3b^3- square root of 48ab	$\sqrt{300 a^{3} b^{3}} - \sqrt{48 a b}$
24042	Simplify	- square root of 1^4	$- \sqrt{1^{4}}$
24043	Find the Derivative - d/dx	y=x- natural log of x	$y = x - \ln (x)$
24044	Write as a Single Logarithm	log base 2 of 15+ log base 2 of 4- log base 2 of 6	$\log_{2} (15) + \log_{2} (4) - \log_{2} (6)$
24045	Find the Reference Angle	sin(-330 degrees )	$\sin (- 330 °)$
24046	Expand Using Sum/Difference Formulas	4(2x-1)+3(2x+5)	$4 (2 x - 1) + 3 (2 x + 5)$
24047	Solve for x	9x+9-3x-3=3x+3+3x+3	$9 x + 9 - 3 x - 3 = 3 x + 3 + 3 x + 3$
24048	Solve for x	11-(3x+1)=7(x-6)+2	$11 - (3 x + 1) = 7 (x - 6) + 2$
24049	Simplify	((x^(1/2)y)^(2/3))^3	${({(x^{\frac{1}{2}} y)}^{\frac{2}{3}})}^{3}$
24050	Find the Geometric Mean	8 and 18	$8$ and $18$
24051	Simplify	square root of 13* square root of -6	$\sqrt{13} \cdot \sqrt{- 6}$
24052	Evaluate	20-10\|7-4(1+1)\|	$20 - 10 \| 7 - 4 (1 + 1) \|$
24053	Find the Skew	3 , 4 , 5 , 12	$3$ , $4$ , $5$ , $12$
24054	Solve for s	2r=8t-4s	$2 r = 8 t - 4 s$
24055	Evaluate	-2.5(-3+4n+8)	$- 2.5 (- 3 + 4 n + 8)$
24056	Solve the System of Equations	x+2y=-6 x+y=-1	$x + 2 y = - 6$ $x + y = - 1$
24057	Solve the System of Inequalities	x^2+y^2<=13 5x^2-y^2>=11	$x^{2} + y^{2} \leq 13$ $5 x^{2} - y^{2} \geq 11$
24058	Simplify	2 square root of 2+ square root of 20	$2 \sqrt{2} + \sqrt{20}$
24059	Find All Complex Solutions	2/(x-3)+1/x=(x-1)/(x-3)	$\frac{2}{x - 3} + \frac{1}{x} = \frac{x - 1}{x - 3}$
24060	Solve for x	y=2x-pq	$y = 2 x - p q$
24061	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 $- \frac{1}{2}$ ?
24062	Solve for x	2^x=(4^(x^3))/(8^(x^2))	$2^{x} = \frac{4^{x^{3}}}{8^{x^{2}}}$
24063	Solve the System of Equations	3d-e=7 d+e=5	$3 d - e = 7$ $d + e = 5$
24064	Identify the Sequence	1 , 3/2 , 2 , 5/2	$1$ , $\frac{3}{2}$ , $2$ , $\frac{5}{2}$
24065	Find the Exact Value	cos((pi/3)/2)	$\cos (\frac{\frac{π}{3}}{2})$
24066	Factor	2x^3-16x^2-40x=0	$2 x^{3} - 16 x^{2} - 40 x = 0$
24067	Simplify	cos(x)^2+tan(x)sin(x)cos(x)	$\cos^{2} (x) + \tan (x) \sin (x) \cos (x)$
24068	Simplify	square root of 121+ square root of 50	$\sqrt{121} + \sqrt{50}$
24069	Simplify	(8rs^2-6)^2	${(8 r s^{2} - 6)}^{2}$
24070	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)	$\sqrt{r^{2} - 1} (1 + \frac{r^{2}}{r^{2} - 1}) + 2 r - \frac{1 + \frac{r}{\sqrt{r^{2} - 1}}}{r + \sqrt{r^{2} - 1}}$
24071	Factor	(4x-3)^2+8x(4x-3)	${(4 x - 3)}^{2} + 8 x (4 x - 3)$
24072	Solve for x	(3x)/(x-3)-(x+5)/(x+9)=x/(x-3)	$\frac{3 x}{x - 3} - \frac{x + 5}{x + 9} = \frac{x}{x - 3}$
24073	Find the Critical Points	f(x) = cube root of x^2+2x	$f (x) = \sqrt[3]{x^{2}} + 2 x$
24074	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?
24075	Evaluate	sin(theta)=1/( square root of 2)	$\sin (θ) = \frac{1}{\sqrt{2}}$
24076	Solve for a	limit as x approaches -4 of (4x^2+4x-8)/(ax^2+bx+8)=9/5	$lim_{x \to - 4} \frac{4 x^{2} + 4 x - 8}{a x^{2} + b x + 8} = \frac{9}{5}$
24077	Solve for x	3x^3+5=29	$3 x^{3} + 5 = 29$
24078	Simplify	(2 square root of 27-3 square root of 12+ square root of 24)/( square root of 3)	$\frac{2 \sqrt{27} - 3 \sqrt{12} + \sqrt{24}}{\sqrt{3}}$
24079	Solve the Inequality for w	5<3+w	$5 < 3 + w$
24080	Simplify	((p-7)/8)÷((p+5)/(8p+8))	$\frac{p - 7}{8} \div \frac{p + 5}{8 p + 8}$
24081	Simplify	( fourth root of 36* fourth root of 216)/( fourth root of 6)	$\frac{\sqrt[4]{36} \cdot \sqrt[4]{216}}{\sqrt[4]{6}}$
24082	Identify the Sequence	3 , 12 , 48 ; dots	$3$ , $12$ , $48$ ; dots
24083	Simplify	(m^5y^-6)(m^-5y^-2)	$(m^{5} y^{- 6}) (m^{- 5} y^{- 2})$
24084	Simplify	(-1)-(3)+(-8)	$(- 1) - (3) + (- 8)$
24085	Solve for x	y+x=ax	$y + x = a x$
24086	Solve the Function Operation	Given that f(x)=x^2-10x+24 and g(x)=x-6 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 24$ and $g (x) = x - 6$ ; find $f (x) - g (x)$ and express the result in standard form.
24087	Graph	f(x)=(x+1)(x-2)(x-5)(2x+6)	$f (x) = (x + 1) (x - 2) (x - 5) (2 x + 6)$
24088	Determine if Dependent, Independent, or Inconsistent	y=2x+3 x+y=-3	$y = 2 x + 3$ $x + y = - 3$
24089	Find the Antiderivative	e^((-x)/2)	$e^{\frac{- x}{2}}$
24090	Solve in Terms of the Arbitrary Variable a	n=2 , a=36	$n = 2$ , $a = 36$
24091	Evaluate the Integral	integral from 0 to 1 of (ax^2+b) with respect to x	$\int_{0}^{1} (a x^{2} + b) d x$
24092	Divide	square root of 7* cube root of 7	$\sqrt{7} \cdot \sqrt[3]{7}$
24093	Solve for p	\|-9p-585\|=225	$\| - 9 p - 585 \| = 225$
24094	Solve the Absolute Value Inequality for x	15=5\|3x+3\|	$15 = 5 \| 3 x + 3 \|$
24095	Find the Domain and Range	f(x)=\|6-X\|	$f (x) = \| 6 - X \|$
24096	Factor	2x(x-5)+3(x-5)+(x-5)	$2 x (x - 5) + 3 (x - 5) + (x - 5)$
24097	Simplify	(a+2)/(3a)+(b-1)/(5b)	$\frac{a + 2}{3 a} + \frac{b - 1}{5 b}$
24098	Factor by Grouping	6xy^3+12x^4y^4	$6 x y^{3} + 12 x^{4} y^{4}$
24099	Simplify	((3y^4n^6)^2)/((y^2n^-3)^4)	$\frac{{(3 y^{4} n^{6})}^{2}}{{(y^{2} n^{- 3})}^{4}}$
24100	Simplify	(5(14-2)^2)÷2	$5 {(14 - 2)}^{2} \div 2$