Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46901	Evaluate	1/(cos(pi/9)^2)-1/(cot(pi/9)^2)	$\frac{1}{\cos^{2} (\frac{π}{9})} - \frac{1}{\cot^{2} (\frac{π}{9})}$
46902	Simplify	(x^2+4x-5)/(x^2+7x-8)(20x-4x^2)/(x^2+x-30)(x^2+14x+48)/(x+5)	$\frac{x^{2} + 4 x - 5}{x^{2} + 7 x - 8} \cdot \frac{20 x - 4 x^{2}}{x^{2} + x - 30} \cdot \frac{x^{2} + 14 x + 48}{x + 5}$
46903	Evaluate	csc(theta)=-2	$\csc (θ) = - 2$
46904	Simplify	(1 3/5+1 3/5)/(4 1/3-1 1/5)	$\frac{(1 \frac{3}{5} + 1 \frac{3}{5})}{(4 \frac{1}{3} - 1 \frac{1}{5})}$
46905	Find the Antiderivative	e^(-2x)+2x	$e^{- 2 x} + 2 x$
46906	Solve the Inequality for h	(3/2)h+12>=6	$(\frac{3}{2}) h + 12 \geq 6$
46907	Find the Exact Value	2/3*6	$\frac{2}{3} \cdot 6$
46908	Simplify	(-x^3yz^-1)(2x^5y^-1z^-3)^3	$(- x^{3} y z^{- 1}) {(2 x^{5} y^{- 1} z^{- 3})}^{3}$
46909	Identify the Sequence	-3 , -1 , -1/3 , -1/9	$- 3$ , $- 1$ , $- \frac{1}{3}$ , $- \frac{1}{9}$
46910	Evaluate the Integral	integral of (3x^3+1+4x^2) with respect to x	$\int (3 x^{3} + 1 + 4 x^{2}) d x$
46911	Find the Complex Conjugate	i+4	$i + 4$
46912	Find the Slope	y-3=x+4	$y - 3 = x + 4$
46913	Simplify	(7/(9x^3))/(5/(3x^2))	$\frac{\frac{7}{9 x^{3}}}{\frac{5}{3 x^{2}}}$
46914	Factor by Grouping	x^4-3x^2+2	$x^{4} - 3 x^{2} + 2$
46915	Solve Using the Quadratic Formula	(x-2)^2-20=-45	${(x - 2)}^{2} - 20 = - 45$
46916	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,3) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(6, 3)$ and has a slope of $- \frac{1}{3}$ ?
46917	Find All Complex Solutions	csc(theta)=-2	$\csc (θ) = - 2$
46918	Evaluate	cos(arcsin(2x))	$\cos (\arcsin (2 x))$
46919	Simplify	(9xy+y-2x)-(6xy-2x)	$(9 x y + y - 2 x) - (6 x y - 2 x)$
46920	Solve for y	5-(y-3)=3x	$5 - (y - 3) = 3 x$
46921	Evaluate	square root of 2sin(x)+1=0	$\sqrt{2} \sin (x) + 1 = 0$
46922	Graph	-x-y<=2 y-2x>1	$- x - y \leq 2$ $y - 2 x > 1$
46923	Evaluate the Integral	integral from 0 to 9 of ( square root of x-1/3x) with respect to x	$\int_{0}^{9} (\sqrt{x} - \frac{1}{3} x) d x$
46924	Solve the Rational Equation for x	(x+3)/(x-3)+x/(x-5)=(x+5)/(x-5)	$\frac{x + 3}{x - 3} + \frac{x}{x - 5} = \frac{x + 5}{x - 5}$
46925	Find dy/dx	y = cube root of -9x^2-4x	$y = \sqrt[3]{- 9 x^{2} - 4 x}$
46926	Evaluate the Integral	integral from 0 to infinity of 1/(x^2) with respect to x	$\int_{0}^{\infty} \frac{1}{x^{2}} d x$
46927	Simplify	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
46928	Solve the Absolute Value Inequality for x	\|x\|>=0	$\| x \| \geq 0$
46929	Find the Equation Given the Roots	-8+5i , 7i	$- 8 + 5 i$ , $7 i$
46930	Find the Inflection Points	-1/6x^4+x^2	$- \frac{1}{6} x^{4} + x^{2}$
46931	Solve for x	5/(x-5)=7+x/(x-5)	$\frac{5}{x - 5} = 7 + \frac{x}{x - 5}$
46932	Simplify	1/(n^7*n^-5)	$\frac{1}{n^{7} \cdot n^{- 5}}$
46933	Simplify	sin(theta)cos(30)+cos(theta)sin(30)	$\sin (θ) \cos (30) + \cos (θ) \sin (30)$
46934	Simplify	3a(2+5b)	$3 a (2 + 5 b)$
46935	Solve for y	M=(x-y)/9	$M = \frac{x - y}{9}$
46936	Find the GCF	18cd , 30cd	$18 c d$ , $30 c d$
46937	Graph	x-y<=2 x+2y>=8 y<=4	$x - y \leq 2$ $x + 2 y \geq 8$ $y \leq 4$
46938	Simplify the Radical Expression	(x^-8*x^-6)^(1/6)	${(x^{- 8} \cdot x^{- 6})}^{\frac{1}{6}}$
46939	Convert to a Percentage	0.7 as a percentage	$0.7$ as a percentage
46940	Simplify the Radical Expression	12 root of 64	$\sqrt[12]{64}$
46941	Factor	x^4-x^2+x^3-x-6x^2+6	$x^{4} - x^{2} + x^{3} - x - 6 x^{2} + 6$
46942	Find the Antiderivative	4x+1/(x^2)	$4 x + \frac{1}{x^{2}}$
46943	Solve for x	3/4x=7-x	$\frac{3}{4} x = 7 - x$
46944	Evaluate	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
46945	Solve the Inequality for v	v/3<=-14	$\frac{v}{3} \leq - 14$
46946	Evaluate the Limit	limit as x approaches 1 of (x natural log of x)/(x^2-1)	$lim_{x \to 1} \frac{x \ln (x)}{x^{2} - 1}$
46947	Solve for R	R=2/3( log of E/(10^4.40))	$R = \frac{2}{3} (\log (\frac{E}{10^{4.4}}))$
46948	Solve for x	y=(ax+b)/(cx+d)	$y = \frac{a x + b}{c x + d}$
46949	Find the Second Derivative	y=-5/3x^4+1/4x^5+4/15	$y = - \frac{5}{3} x^{4} + \frac{1}{4} x^{5} + \frac{4}{15}$
46950	Find the Antiderivative	f(t)=(2t-4+5 square root of t)/( square root of t)	$f (t) = \frac{2 t - 4 + 5 \sqrt{t}}{\sqrt{t}}$
46951	Simplify	((18xy^3)/(7a^2b^2))÷((12x^2y)/(35a^2b))	$\frac{18 x y^{3}}{7 a^{2} b^{2}} \div \frac{12 x^{2} y}{35 a^{2} b}$
46952	Find the Trig Value	tan(theta)=24/7 , 0<=theta<=pi/2	$\tan (θ) = \frac{24}{7}$ , $0 \leq θ \leq \frac{π}{2}$
46953	Simplify	(24x^3)/(25y^5)*(15y^2)/(8x^2)	$\frac{24 x^{3}}{25 y^{5}} \cdot \frac{15 y^{2}}{8 x^{2}}$
46954	Simplify	(3xy^2+12x^2y)/(3xy)	$\frac{3 x y^{2} + 12 x^{2} y}{3 x y}$
46955	Divide	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
46956	Find the Derivative - d/dx	( natural log of x)/(sin(x))	$\frac{\ln (x)}{\sin (x)}$
46957	Find the Domain and Range	y=(x-1)/(x^2-5x+4)	$y = \frac{x - 1}{x^{2} - 5 x + 4}$
46958	Multiply	( square root of 3)/2*1/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
46959	Rationalize the Denominator	( square root of 3)/( fourth root of 3)	$\frac{\sqrt{3}}{\sqrt[4]{3}}$
46960	Simplify	((3)^-1)/7	$\frac{{(3)}^{- 1}}{7}$
46961	Solve for t	t^3=-343	$t^{3} = - 343$
46962	Graph	y=x^4+x^3-7x^2-x+6	$y = x^{4} + x^{3} - 7 x^{2} - x + 6$
46963	Graph	f(x)=x+2 if x<0; 1-x if x>=0	$f (x) = {\begin{cases} x + 2 & x < 0 \\ 1 - x & x \geq 0 \end{cases}$
46964	Solve for x	10 square root of x/5=2 square root of 5x	$10 \sqrt{\frac{x}{5}} = 2 \sqrt{5 x}$
46965	Evaluate	(a+2b+3c)-(4a+6b-5c)	$(a + 2 b + 3 c) - (4 a + 6 b - 5 c)$
46966	Round to the Nearest Whole Number	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
46967	Graph	(x^3)^(-)*5	${(x^{3})}^{-} \cdot 5$
46968	Simplify	(4r)/(r^2-1)-(3r+1)/(r^2-2r+1)	$\frac{4 r}{r^{2} - 1} - \frac{3 r + 1}{r^{2} - 2 r + 1}$
46969	Solve by Addition/Elimination	x-y=4 x-2y=10	$x - y = 4$ $x - 2 y = 10$
46970	Write in Standard Form	(x^2-x-2)(x^2-x-2)	$(x^{2} - x - 2) (x^{2} - x - 2)$
46971	Evaluate	2/(3(-1)^(1/3))	$\frac{2}{3 {(- 1)}^{\frac{1}{3}}}$
46972	Find the Exact Value	1/( log base 2 of 14)+1/( log base 7 of 14)	$\frac{1}{\log_{2} (14)} + \frac{1}{\log_{7} (14)}$
46973	Multiply	(xy)(xy)	$(x y) (x y)$
46974	Find Where Increasing/Decreasing	f(x)=x^5+x^4	$f (x) = x^{5} + x^{4}$
46975	Simplify	(2x-5)/x-4/(5x)-4	$\frac{2 x - 5}{x} - \frac{4}{5 x} - 4$
46976	Find the Antiderivative	x^0	$x^{0}$
46977	Solve for x	2sin(x)^2+3cos(x)=0	$2 \sin^{2} (x) + 3 \cos (x) = 0$
46978	Solve for y	(y^2-11)^2-10(y^2-11)=-25	${(y^{2} - 11)}^{2} - 10 (y^{2} - 11) = - 25$
46979	Simplify	-(2p^4)^3(-1.5p^7)	$- {(2 p^{4})}^{3} (- 1.5 p^{7})$
46980	Find the Derivative - d/dx	3^4*x^3	$3^{4} \cdot x^{3}$
46981	Solve Using the Quadratic Formula	3^2=6	$3^{2} = 6$
46982	Expand Using Sum/Difference Formulas	csc(pi/2-theta)	$\csc (\frac{π}{2} - θ)$
46983	Solve for x	6(x-6)=2(6+3x)	$6 (x - 6) = 2 (6 + 3 x)$
46984	Write in Exponential Form	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
46985	Solve for x	y = square root of x+a	$y = \sqrt{x + a}$
46986	Simplify	-2(-3)^3-3	$- 2 {(- 3)}^{3} - 3$
46987	Find the Derivative - d/dx	2e^x+1	$2 e^{x} + 1$
46988	Determine the Possible Number of Real Roots	-0.000125	$- 0.000125$
46989	Evaluate Using the Given Value	Solve for V V/(LW)=H	Solve for $V$ $\frac{V}{L W} = H$
46990	Multiply	(10a+b)*(10a+2b)	$(10 a + b) \cdot (10 a + 2 b)$
46991	Solve for b	a^2-b^2=0	$a^{2} - b^{2} = 0$
46992	Graph	2x>12 or 4>=2x	$2 x > 12$ or $4 \geq 2 x$
46993	Evaluate the Integral	integral of u^n with respect to u=(u^2)/2+c	$\int u^{n} d u = \frac{u^{2}}{2} + c$
46994	Determine if Perpendicular	y=-4x+1 4y=x+3	$y = - 4 x + 1$ $4 y = x + 3$
46995	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^5)/(e^x)	$lim_{x \to \infty} \frac{x^{5}}{e^{x}}$
46996	Simplify	(5+i)/( square root of -3)	$\frac{5 + i}{\sqrt{- 3}}$
46997	Evaluate	square root of 2x+3=x	$\sqrt{2 x + 3} = x$
46998	Evaluate the Integral	integral of 4cos(theta)cos(sin(theta))^5 with respect to theta	$\int 4 \cos (θ) \cos^{5} (\sin (θ)) d θ$
46999	Simplify	4^05^-2100^01/(2^-1)	$4^{0} \cdot 5^{- 2} \cdot 100^{0} \frac{1}{2^{- 1}}$
47000	Evaluate Using the Given Value	h-b if h=9 , b=4	$h - b$ if $h = 9$ , $b = 4$