Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13901	Determine if a Polynomial	(8y^3)/w+5y^2	$\frac{8 y^{3}}{w} + 5 y^{2}$
13902	Simplify	(3r^3)/( square root of 20r)	$\frac{3 r^{3}}{\sqrt{20 r}}$
13903	Evaluate	1/2(6)^2pi/2	$\frac{1}{2} {(6)}^{2} \frac{π}{2}$
13904	Solve by Graphing	y=-2/3x+2 y=-2	$y = - \frac{2}{3} x + 2$ $y = - 2$
13905	Solve for p	(r-p)/3=S	$\frac{r - p}{3} = S$
13906	Solve for p	(r-p)/4=S	$\frac{r - p}{4} = S$
13907	Find the Holes in the Graph	f(x)=(x-6)/(x^2-6x)	$f (x) = \frac{x - 6}{x^{2} - 6 x}$
13908	Convert from Radians to Degrees	(3pi)/4*180/pi	$\frac{3 π}{4} \cdot \frac{180}{π}$
13909	Simplify	(b^3)/(c^(1/2))*c/(b^(1/3))	$\frac{b^{3}}{c^{\frac{1}{2}}} \cdot \frac{c}{b^{\frac{1}{3}}}$
13910	Divide Using Synthetic Division	(x^5-8x^4+8x-64)÷(x-8)	$(x^{5} - 8 x^{4} + 8 x - 64) \div (x - 8)$
13911	Convert to Polar	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
13912	Evaluate	4*(1/2)^-1	$4 \cdot {(\frac{1}{2})}^{- 1}$
13913	Solve the Rational Equation for x	-9+x/(x-6)=6/(x-6)	$- 9 + \frac{x}{x - 6} = \frac{6}{x - 6}$
13914	Solve for x	(7x)/3+2=1/3	$\frac{7 x}{3} + 2 = \frac{1}{3}$
13915	Simplify the Radical Expression	6 square root of 15y^4*2 square root of 20y^2	$6 \sqrt{15 y^{4}} \cdot 2 \sqrt{20 y^{2}}$
13916	Solve for x	5^(-2/3)=(125^(x/3))/(25^(4/3))	$5^{- \frac{2}{3}} = \frac{125^{\frac{x}{3}}}{25^{\frac{4}{3}}}$
13917	Integrate Using u-Substitution	integral of (e^(1/x))/(x^2) with respect to x	$\int \frac{e^{\frac{1}{x}}}{x^{2}} d x$
13918	Evaluate	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
13919	Solve for x	x+10/(x-9)=2	$x + \frac{10}{x - 9} = 2$
13920	Simplify	(4x+1)/(7x^2)-(1-3x)/(7x^2)	$\frac{4 x + 1}{7 x^{2}} - \frac{1 - 3 x}{7 x^{2}}$
13921	Simplify	-3x-(-2y-x+(-3y+x-2(x-y)+5x-y)-(-x+y))	$- 3 x - (- 2 y - x + (- 3 y + x - 2 (x - y) + 5 x - y) - (- x + y))$
13922	Find Trig Functions Using Identities	sin(theta)=3/5 , cos(theta)=-4/5	$\sin (θ) = \frac{3}{5}$ , $\cos (θ) = - \frac{4}{5}$
13923	Solve for r	cube root of 3r-6=3	$\sqrt[3]{3 r - 6} = 3$
13924	Solve for x	5/(x+2)-(2x-1)/5=0	$\frac{5}{x + 2} - \frac{2 x - 1}{5} = 0$
13925	Find the Antiderivative	4x(1+ natural log of x)	$4 x (1 + \ln (x))$
13926	Simplify	(x-5)/(x^2+1)-x^2	$\frac{x - 5}{x^{2} + 1} - x^{2}$
13927	Multiply	2/34 1/26	$\frac{2}{3} \times 4 \frac{1}{2} \times 6$
13928	Solve the Function Operation	f(x)=3x+5 g(x)=4x^2-2 h(x)=x^2-3x+1 Find f(x)+g(x)-h(x)	$f (x) = 3 x + 5$ $g (x) = 4 x^{2} - 2$ $h (x) = x^{2} - 3 x + 1$ Find $f (x) + g (x) - h (x)$
13929	Find the Roots (Zeros)	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
13930	Find the Roots (Zeros)	3x^2+30=-18x	$3 x^{2} + 30 = - 18 x$
13931	Identify the Zeros and Their Multiplicities	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
13932	Solve for t	500=1562.5*10^(-0.1t)	$500 = 1562.5 \cdot 10^{- 0.1 t}$
13933	Solve for x	9/10=(9x)/70	$\frac{9}{10} = \frac{9 x}{70}$
13934	Solve for x	-2\|x-3\|+5>=-7	$- 2 \| x - 3 \| + 5 \geq - 7$
13935	Evaluate	7+43+8(5*2)	$7 + 4 \cdot 3 + 8 \cdot (5 \cdot 2)$
13936	Divide	divide x^3+x^2-5x-2 by x-2	divide $x^{3} + x^{2} - 5 x - 2$ by $x - 2$
13937	Verify the Identity	1/(1+sec(x))+1/(1-sec(x))=-2cot(x)^2	$\frac{1}{1 + \sec (x)} + \frac{1}{1 - \sec (x)} = - 2 \cot^{2} (x)$
13938	Solve for y	y/3=x-5	$\frac{y}{3} = x - 5$
13939	Divide	(56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)	$\frac{56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$
13940	Simplify	square root of (5x)/(49y^4)	$\sqrt{\frac{5 x}{49 y^{4}}}$
13941	Find the Degree, Leading Term, and Leading Coefficient	-1/7+x	$- \frac{1}{7} + x$
13942	Evaluate the Integral	integral of (5x^4-4x^3+3x^2) with respect to x	$\int (5 x^{4} - 4 x^{3} + 3 x^{2}) d x$
13943	Solve the System of Equations	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
13944	Solve the Function Operation	Find (g*h)(x) if g(x)=x^2+4x+9 and h(x)=x^2-5x+10	Find $(g \cdot h) (x)$ if $g (x) = x^{2} + 4 x + 9$ and $h (x) = x^{2} - 5 x + 10$
13945	Solve for k	-2(-7k+4)+9=-13	$- 2 (- 7 k + 4) + 9 = - 13$
13946	Simplify	fourth root of x^6y^3+ fourth root of x^10y^3	$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$
13947	Find the Derivative - d/dx	(4-x^2)/(3- square root of x^2+5)	$\frac{4 - x^{2}}{3 - \sqrt{x^{2} + 5}}$
13948	Find the Roots (Zeros)	(x-2)(x^2-1)	$(x - 2) (x^{2} - 1)$
13949	Solve for x	5/x+1/(3x)=(4x)/3	$\frac{5}{x} + \frac{1}{3 x} = \frac{4 x}{3}$
13950	Simplify	((x^2+1)/3)/((x+1)/3)	$\frac{\frac{x^{2} + 1}{3}}{\frac{x + 1}{3}}$
13951	Evaluate	3.5x(5.8-7.09)	$3.5 x (5.8 - 7.09)$
13952	Evaluate the Integral	integral of 8/( square root of 12-x^2-4x) with respect to x	$\int \frac{8}{\sqrt{12 - x^{2} - 4 x}} d x$
13953	Simplify the Radical Expression	cube root of 3x^2* cube root of x^2* cube root of 9x^3	$\sqrt[3]{3 x^{2}} \cdot \sqrt[3]{x^{2}} \cdot \sqrt[3]{9 x^{3}}$
13954	Write as a Single Logarithm	log base 3 of 6+2* log base 3 of x+1/2 log base 3 of 9	$\log_{3} (6) + 2 \cdot \log_{3} (x) + \frac{1}{2} \log_{3} (9)$
13955	Solve for x	4 1/2-5 1/3÷(20x-14 2/3)=1 5/6	$4 \frac{1}{2} - 5 \frac{1}{3} \div (20 x - 14 \frac{2}{3}) = 1 \frac{5}{6}$
13956	Solve for x	(x+3)/(x+4)-(2x+7)/(x-4)=(2x+5)/(x^2-16)	$\frac{x + 3}{x + 4} - \frac{2 x + 7}{x - 4} = \frac{2 x + 5}{x^{2} - 16}$
13957	Solve for P	Q=60-4P for P ?	$Q = 60 - 4 P$ for $P$ ?
13958	Find dy/dx	y=-8sin(x)	$y = - 8 \sin (x)$
13959	Evaluate	i^25*i^44	$i^{25} \cdot i^{44}$
13960	Evaluate	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
13961	Solve the System of Inequalities	x-3y>=12 4x-3y>21	$x - 3 y \geq 12$ $4 x - 3 y > 21$
13962	Solve the Inequality for x	(1-x)/(1+x)<=0	$\frac{1 - x}{1 + x} \leq 0$
13963	Find the Domain	f(x) = square root of 16+6x-x^2	$f (x) = \sqrt{16 + 6 x - x^{2}}$
13964	Evaluate the Integral	integral of (3-2x) square root of 9x with respect to x	$\int (3 - 2 x) \sqrt{9 x} d x$
13965	Simplify	3x+4(x-6)-3(x-7)	$3 x + 4 (x - 6) - 3 (x - 7)$
13966	Solve the Inequality for x	3^(x+2)+3^(1-x)>28	$3^{x + 2} + 3^{1 - x} > 28$
13967	Evaluate	e^0-e^(-0)	$e^{0} - e^{- 0}$
13968	Evaluate	cot(theta) = square root of 3	$\cot (θ) = \sqrt{3}$
13969	Find the Derivative - d/dx	( natural log of (x)^2)/x	$\frac{\ln ({(x)}^{2})}{x}$
13970	Evaluate	pi-2.5	$π - 2.5$
13971	Simplify	(2x^3+3x^2-5)+(3x^2+7)	$(2 x^{3} + 3 x^{2} - 5) + (3 x^{2} + 7)$
13972	Solve for x	1/2x+3=0	$\frac{1}{2} x + 3 = 0$
13973	Find the Antiderivative	f(x) = square root of x-x^(3/4)+1/x	$f (x) = \sqrt{x} - x^{\frac{3}{4}} + \frac{1}{x}$
13974	Multiply	(7/52)(13/70)	$(\frac{7}{52}) (\frac{13}{70})$
13975	Simplify	(4x^3-3x^2+6x-4)-(-2x^3+x^2-2)	$(4 x^{3} - 3 x^{2} + 6 x - 4) - (- 2 x^{3} + x^{2} - 2)$
13976	Find the Domain	d(y)=y+3	$d (y) = y + 3$
13977	Evaluate	10((3pi)/4)	$10 (\frac{3 π}{4})$
13978	Find the Antiderivative	(10t^-3+12t^-9+4t^3)dt	$(10 t^{- 3} + 12 t^{- 9} + 4 t^{3}) d t$
13979	Find the LCM	4x^2+12x+9 and 4x^2-9	$4 x^{2} + 12 x + 9$ and $4 x^{2} - 9$
13980	Simplify	((x-3)/(x+8)+(x-8)/(x+3))/((x-3)/(x+8)-(x-8)/(x+3))	$\frac{\frac{x - 3}{x + 8} + \frac{x - 8}{x + 3}}{\frac{x - 3}{x + 8} - \frac{x - 8}{x + 3}}$
13981	Evaluate	log base 1/9 of ( cube root of 81)^2	$\log_{\frac{1}{9}} ({(\sqrt[3]{81})}^{2})$
13982	Simplify	(5x^2)(4x^8)(-2x^3y)	$(5 x^{2}) (4 x^{8}) (- 2 x^{3} y)$
13983	Evaluate	(((9/3)-1)+5)+(252)	$(((\frac{9}{3}) \cdot - 1) + 5) + (2 \cdot 52)$
13984	Multiply	( square root of 30x^3y^2)( square root of 5x^4y^3)	$(\sqrt{30 x^{3} y^{2}}) (\sqrt{5 x^{4} y^{3}})$
13985	Solve for x	(15-x)*4=10	$(15 - x) \cdot 4 = 10$
13986	Write in Standard Form	4a(5a^2-4)+9a	$4 a (5 a^{2} - 4) + 9 a$
13987	Simplify	7/(10x^3)*(3x)/10	$\frac{7}{10 x^{3}} \cdot \frac{3 x}{10}$
13988	Simplify	((a-b)^2)/(b-a)	$\frac{{(a - b)}^{2}}{b - a}$
13989	Evaluate	(f(-1)-f(-2))/((-1)-(-2))	$\frac{f (- 1) - f (- 2)}{(- 1) - (- 2)}$
13990	Find the Domain	h(x) = square root of x^2-7x+10	$h (x) = \sqrt{x^{2}} - 7 x + 10$
13991	Solve for x	square root of 9x+4 = square root of x+30	$\sqrt{9 x} + 4 = \sqrt{x + 30}$
13992	Solve the Function Operation	f(x)=-x-4 ; find f(4)	$f (x) = - x - 4$ ; find $f (4)$
13993	Graph	2^3 square root of x+2+4	$2^{3} \sqrt{x + 2} + 4$
13994	Find the Domain	(7b-14b^2)/(42b^2-21b)	$\frac{7 b - 14 b^{2}}{42 b^{2} - 21 b}$
13995	Simplify	cube root of 64x+9 cube root of x^4-6 cube root of x-3x cube root of x	$\sqrt[3]{64 x} + 9 \sqrt[3]{x^{4}} - 6 \sqrt[3]{x} - 3 x \sqrt[3]{x}$
13996	Find Where Increasing/Decreasing	f(x)=(3/2)^(-x)-7	$f (x) = {(\frac{3}{2})}^{- x} - 7$
13997	Write in Exponential Form	cube root of 4+ fifth root of 2	$\sqrt[3]{4 + \sqrt[5]{2}}$
13998	Find the Derivative - d/dx	(x/2)	$(\frac{x}{2})$
13999	Find All Complex Solutions	4t^2-2t-3=-6t	$4 t^{2} - 2 t - 3 = - 6 t$
14000	Find the Slope of the Tangent Line at x=1	e^x+100e+8x^4+49 at x=1	$e^{x} + 100 e + 8 x^{4} + 49$ at $x = 1$