Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29901	Find the Degree, Leading Term, and Leading Coefficient	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$
29902	Evaluate	10% of 70	$10 %$ of $70$
29903	Solve the System of Equations	5x-9y=-48 and x+2y=-2	$5 x - 9 y = - 48$ and $x + 2 y = - 2$
29904	Find the Antiderivative	f(x)=x square root of x-3/( square root of x)	$f (x) = x \sqrt{x} - \frac{3}{\sqrt{x}}$
29905	Solve for x	87+123+75+x=360	$87 + 123 + 75 + x = 360$
29906	Multiply	x^2(3x^2+5)	$x^{2} (3 x^{2} + 5)$
29907	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-5x^2-x+6 is divided by x+1	Use synthetic division to find the result when $2 x^{3} - 5 x^{2} - x + 6$ is divided by $x + 1$
29908	Simplify the Radical Expression	( cube root of 8)÷( square root of 6)	$\sqrt[3]{8} \div \sqrt{6}$
29909	Solve for x	x+2=5/2	$x + 2 = \frac{5}{2}$
29910	Simplify	square root of 16^( square root of 2^( square root of 16))	$\sqrt{16^{\sqrt{2^{\sqrt{16}}}}}$
29911	Evaluate	(x-3)(6x-2)	$(x - 3) (6 x - 2)$
29912	Find Amplitude, Period, and Phase Shift	y=cos(x-2pi)-1	$y = \cos (x - 2 π) - 1$
29913	Integrate By Parts	integral from 0 to 2 of (3x^2-1)/(x^2) with respect to x	$\int_{0}^{2} \frac{3 x^{2} - 1}{x^{2}} d x$
29914	Evaluate	(( square root of 2)/2)(( square root of 3)/2)+(( square root of 2)/2)(1/2)	$(\frac{\sqrt{2}}{2}) (\frac{\sqrt{3}}{2}) + (\frac{\sqrt{2}}{2}) (\frac{1}{2})$
29915	Evaluate	square root of 2x-1+2=x	$\sqrt{2 x - 1} + 2 = x$
29916	Simplify the Radical Expression	fifth root of 3/(4y)	$\sqrt[5]{\frac{3}{4 y}}$
29917	Simplify the Radical Expression	4x^3 square root of 64x^5	$4 x^{3} \sqrt{64 x^{5}}$
29918	Simplify the Radical Expression	((m^2)/(m^(1/3)))^(-1/2)	${(\frac{m^{2}}{m^{\frac{1}{3}}})}^{- \frac{1}{2}}$
29919	Solve the Inequality for y	1/8y-1<-5	$\frac{1}{8} y - 1 < - 5$
29920	Evaluate	-3(2x^4)(4x^5y)^2	$- 3 (2 x^{4}) {(4 x^{5} y)}^{2}$
29921	Solve for x	square root of x+ square root of y=0	$\sqrt{x} + \sqrt{y} = 0$
29922	Simplify	2(8x^2+3x)^2	$2 {(8 x^{2} + 3 x)}^{2}$
29923	Find Amplitude, Period, and Phase Shift	y=-2sec(2x+pi/2)+7	$y = - 2 \sec (2 x + \frac{π}{2}) + 7$
29924	Simplify	(x+5)/9-(x+2)/9	$\frac{x + 5}{9} - \frac{x + 2}{9}$
29925	Divide	(4/3)÷(-12)	$\frac{4}{3} \div (- 12)$
29926	Solve the Inequality for y	7x+8y<=14x-16	$7 x + 8 y \leq 14 x - 16$
29927	Graph	Graph y< = square root of x+3-3	Graph $y \leq \sqrt{x + 3} - 3$
29928	Solve the Inequality for x	2x^2+5x-50<=3x+10	$2 x^{2} + 5 x - 50 \leq 3 x + 10$
29929	Evaluate Using the Given Value	Evaluate 3+jk+k^3 when j=2 and k=6	Evaluate $3 + j k + k^{3}$ when $j = 2$ and $k = 6$
29930	Simplify	((x+y)^0)/(x^0+y^0)	$\frac{{(x + y)}^{0}}{x^{0} + y^{0}}$
29931	Solve for t	10^(t+1)=50	$10^{t + 1} = 50$
29932	Find the Slope	(-4,10) and (8,-2)	$(- 4, 10)$ and $(8, - 2)$
29933	Find the Domain and Range	-x^4-7x^3-12x^2	$- x^{4} - 7 x^{3} - 12 x^{2}$
29934	Factor	(x+2)(x-12)-(3x+4)(x+2)	$(x + 2) (x - 12) - (3 x + 4) (x + 2)$
29935	Find the Antiderivative	1/((1+x)(1-2x))	$\frac{1}{(1 + x) (1 - 2 x)}$
29936	Subtract	(6xy)/(x^2-y^2)-(x+y)/(x-y)	$\frac{6 x y}{x^{2} - y^{2}} - \frac{x + y}{x - y}$
29937	Graph	-7/8<=m-13/8	$- \frac{7}{8} \leq m - \frac{13}{8}$
29938	Simplify	(-9c)^0+(d)^0+2(8e)^0	${(- 9 c)}^{0} + {(d)}^{0} + 2 {(8 e)}^{0}$
29939	Find the Maximum/Minimum Value	y=1/3x^3+5/2x^2+6x+8	$y = \frac{1}{3} x^{3} + \frac{5}{2} x^{2} + 6 x + 8$
29940	Find the Derivative - d/dx	f^2(x)	$f^{2} (x)$
29941	Solve by Graphing	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
29942	Graph	3x+2y=6 y=-5/2x+1	$3 x + 2 y = 6$ $y = - \frac{5}{2} x + 1$
29943	Graph	y<=3x+1 x+y<=-1	$y \leq 3 x + 1$ $x + y \leq - 1$
29944	Find Amplitude, Period, and Phase Shift	y=2sin((8pix)/3+(3pi)/2)	$y = 2 \sin (\frac{8 π x}{3} + \frac{3 π}{2})$
29945	Describe the Transformation	y=-(x+1)^3+2	$y = - {(x + 1)}^{3} + 2$
29946	Simplify	fifth root of 125x^4y^3* fifth root of 25xy^2	$\sqrt[5]{125 x^{4} y^{3}} \cdot \sqrt[5]{25 x y^{2}}$
29947	Evaluate Using L'Hospital's Rule	limit as x approaches -2 of (3cos(x+2)+x)/(4 natural log of -3-2x+x^3)	$lim_{x \to - 2} \frac{3 \cos (x + 2) + x}{4 \ln (- 3 - 2 x) + x^{3}}$
29948	Solve using Gaussian Elimination	3x-2y+8z=38 6x+3y-9z=-12 4x+4y+20z=0	$3 x - 2 y + 8 z = 38$ $6 x + 3 y - 9 z = - 12$ $4 x + 4 y + 20 z = 0$
29949	Solve for x	5x-4+x=2x	$5 x - 4 + x = 2 x$
29950	Solve the Inequality for x	(2x-5)(3x+1)(x-5)^2<=0	$(2 x - 5) (3 x + 1) {(x - 5)}^{2} \leq 0$
29951	Solve for x in Radians	tan(x)^2=sec(x)-1	$\tan^{2} (x) = \sec (x) - 1$
29952	Simplify	(1/7m^3n^2-2/5m^4n+3/8m^2n^2)÷(1/4m^2n)	$(\frac{1}{7} m^{3} n^{2} - \frac{2}{5} m^{4} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2} n)$
29953	Simplify	(3y^3+4y^2-17y-9)÷y+3	$(3 y^{3} + 4 y^{2} - 17 y - 9) \div y + 3$
29954	Solve for x	-7x^3+6=-148	$- 7 x^{3} + 6 = - 148$
29955	Graph	1/(1+x)	$\frac{1}{1 + x}$
29956	Find the GCF	5x^2+x	$5 x^{2} + x$
29957	Find the Percentage Rate of Change	y=1/4(1.2)^t	$y = \frac{1}{4} {(1.2)}^{t}$
29958	Find the Product	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
29959	Simplify	(sin(theta)^3)/(tan(theta)-sin(theta))	$\frac{\sin^{3} (θ)}{\tan (θ) - \sin (θ)}$
29960	Find the Product	((x+1)(x-1))^2	${((x + 1) (x - 1))}^{2}$
29961	Find the Derivative - d/dx	e^(xy)=e^(4x)-e^(5y)	$e^{x y} = e^{4 x} - e^{5 y}$
29962	Graph	square root of 2x+y< square root of 3x-y-1	$\sqrt{2 x + y} < \sqrt{3 x - y - 1}$
29963	Solve for x	-9=x^2-6x	$- 9 = x^{2} - 6 x$
29964	Simplify	2x square root of 20y^2+7y square root of 20x^2- square root of 3xy	$2 x \sqrt{20 y^{2}} + 7 y \sqrt{20 x^{2}} - \sqrt{3 x y}$
29965	Solve for x	2x^2=x+9	$2 x^{2} = x + 9$
29966	Find the Antiderivative	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
29967	Find Where Increasing/Decreasing	f(x)=2 cube root of x-3-1	$f (x) = 2 \sqrt[3]{x - 3} - 1$
29968	Find the Exact Value	cos((2pi)/3)^2	$\cos^{2} (\frac{2 π}{3})$
29969	Solve the Inequality for n	3-6n-4<17	$3 - 6 n - 4 < 17$
29970	Write with Rational (Fractional) Exponents	6x square root of x^4	$6 x \sqrt{x^{4}}$
29971	Solve for x	( cube root of 5)^(-x)=(1/5)^(x+2)	${(\sqrt[3]{5})}^{- x} = {(\frac{1}{5})}^{x + 2}$
29972	Simplify the Radical Expression	fourth root of x^6y^4	$\sqrt[4]{x^{6} y^{4}}$
29973	Graph	2x-y=4 y=-6x+4	$2 x - y = 4$ $y = - 6 x + 4$
29974	Evaluate	3^-8(3)^5	$3^{- 8} {(3)}^{5}$
29975	Solve the System of Equations	2x+y=5 2y=2x-8	$2 x + y = 5$ $2 y = 2 x - 8$
29976	Find the Antiderivative	2x+3/(x^2)	$2 x + \frac{3}{x^{2}}$
29977	Find the Roots (Zeros)	f(x)=(x^2-4x+4)/(x^2-4)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{2} - 4}$
29978	Solve for x	9x(x+6)-(3x+1)^2=1	$9 x (x + 6) - {(3 x + 1)}^{2} = 1$
29979	Find the Sum of the Infinite Geometric Series	90+30+10+10/3+...	$90 + 30 + 10 + \frac{10}{3} + \dots$
29980	Find the Midpoint	(13,-14) and (-13,10)	$(13, - 14)$ and $(- 13, 10)$
29981	Simplify the Radical Expression	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
29982	Use the Rational Roots Test to Find All Possible Roots	x^3+4x^2+x-6=0	$x^{3} + 4 x^{2} + x - 6 = 0$
29983	Evaluate the Limit	limit as x approaches 2 from the left of (\|2x-x^2\|)/(x-2)	$lim_{x \to 2^{-}} \frac{\| 2 x - x^{2} \|}{x - 2}$
29984	Solve the Function Operation	((9-43/8)[4 5/12-4÷2 2/3+(0,3-0,5÷4),4/7])/(1/24+0,25÷13 1/3)	$\frac{(9 - \frac{43}{8}) [4 \frac{5}{12} - 4 \div 2 \frac{2}{3} + (0, 3 - 0, 5 \div 4), \frac{4}{7}]}{\frac{1}{24} + 0, 25 \div 13 \frac{1}{3}}$
29985	Simplify	(4x)/(x+3)-(4x^2-7)/(x^2+3x)	$\frac{4 x}{x + 3} - \frac{4 x^{2} - 7}{x^{2} + 3 x}$
29986	Find Where Increasing/Decreasing	f(x)=2x(x^2-3)	$f (x) = 2 x (x^{2} - 3)$
29987	Graph	4x-4<-12 or 4x-4>0	$4 x - 4 < - 12$ or $4 x - 4 > 0$
29988	Solve for v	8/(4v-8)-1=2/(v-2)	$\frac{8}{4 v - 8} - 1 = \frac{2}{v - 2}$
29989	Solve for x	-5\|6+3x\|+2<-43	$- 5 \| 6 + 3 x \| + 2 < - 43$
29990	Solve for q	k=-q/p+1	$k = - \frac{q}{p} + 1$
29991	Find the Slope and y-intercept	-1=-2x+y	$- 1 = - 2 x + y$
29992	Find the Derivative - d/dx	y/(y^2+x^2)	$\frac{y}{y^{2} + x^{2}}$
29993	Simplify	(1/(x^2)-1/(y^2))/(1/y+1/x)	$\frac{\frac{1}{x^{2}} - \frac{1}{y^{2}}}{\frac{1}{y} + \frac{1}{x}}$
29994	Simplify	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \times (y^{2} - 4 y + 4)$
29995	Describe the Transformation	y=3- square root of 2x	$y = 3 - \sqrt{2 x}$
29996	Solve for x	square root of (x+5)^2=x+5	$\sqrt{{(x + 5)}^{2}} = x + 5$
29997	Simplify	( square root of 2+3)( square root of 2-3)x^2	$(\sqrt{2} + 3) (\sqrt{2} - 3) x^{2}$
29998	Evaluate	(2a-5+b)*5	$(2 a - 5 + b) \cdot 5$
29999	Evaluate the Integral	integral of 1/(cot(u)) with respect to u	$\int \frac{1}{\cot (u)} d u$
30000	Simplify	((4x^3)^3)/((8x^-1)^4)	$\frac{{(4 x^{3})}^{3}}{{(8 x^{- 1})}^{4}}$