Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16001	Graph	y=x+x^3	$y = x + x^{3}$
16002	Find the Complex Conjugate	1/6-5/6i	$\frac{1}{6} - \frac{5}{6} i$
16003	Solve for u	u^2=0	$u^{2} = 0$
16004	Simplify the Radical Expression	3 square root of xy- square root of 9xy	$3 \sqrt{x y} - \sqrt{9 x y}$
16005	Solve the Inequality for x	-16<x/-4+6<=-2	$- 16 < \frac{x}{- 4} + 6 \leq - 2$
16006	Find the Product	3ab(4a^2-7b^3)	$3 a b (4 a^{2} - 7 b^{3})$
16007	Solve for x	(2x+1)/3+(4-x)/6=3	$\frac{2 x + 1}{3} + \frac{4 - x}{6} = 3$
16008	Simplify	-2/(1+ square root of 6)	$\frac{- 2}{1 + \sqrt{6}}$
16009	Find the Direction Angle of the Vector	-6i+2j	$- 6 i + 2 j$
16010	Write Using Positive Exponents	(16x^4y^-3z^4)/(36x^-2yz^0)	$\frac{16 x^{4} y^{- 3} z^{4}}{36 x^{- 2} y z^{0}}$
16011	Find the Derivative - d/dx	natural log of \|x^2-1\|	$\ln (\| x^{2} - 1 \|)$
16012	Find the Derivative - d/dx	(arcsin(e^(3x)))	$(\arcsin (e^{3 x}))$
16013	Find the Maximum/Minimum Value	g(x)=xe^(3x)	$g (x) = x e^{3 x}$
16014	Find the LCM	2 and 7	$2$ and $7$
16015	Graph	Graph the line with the equation y=2x-2	Graph the line with the equation $y = 2 x - 2$
16016	Find the Asymptotes	f(x) = log of 7x-9+3	$f (x) = \log (7 x - 9) + 3$
16017	Solve for x	(x+4)/x-5/(6x)=7/6	$\frac{x + 4}{x} - \frac{5}{6 x} = \frac{7}{6}$
16018	Evaluate the Integral	integral from 0 to infinity of 2xe^(x^2) with respect to x	$\int_{0}^{\infty} 2 x e^{x^{2}} d x$
16019	Simplify	6+1.5(5x^(3/5)y^(2/3))^0	$6 + 1.5 {(5 x^{\frac{3}{5}} y^{\frac{2}{3}})}^{0}$
16020	Solve for u	6/9=u/12	$\frac{6}{9} = \frac{u}{12}$
16021	Find Amplitude, Period, and Phase Shift	y=cos(theta-60 degrees )	$y = \cos (θ - 60 °)$
16022	Solve the Inequality for x	(4\|x+7\|)/3<8	$\frac{4 \| x + 7 \|}{3} < 8$
16023	Find the Skew	2 , 8 , 8 , 12	$2$ , $8$ , $8$ , $12$
16024	Find the Derivative - d/dx	x^2* natural log of x	$x^{2} \cdot \ln (x)$
16025	Find the x and y Intercepts	(2x^2-98)/(x+4)	$\frac{2 x^{2} - 98}{x + 4}$
16026	Evaluate the Summation	sum from i=6 to 23 of i^2-2i+7	$\sum_{i = 6}^{23} i^{2} - 2 i + 7$
16027	Multiply	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
16028	Solve for y	(8+2y)/3=x	$\frac{8 + 2 y}{3} = x$
16029	Simplify	-3x^4y^4z^0	$- 3 x^{4} y^{4} z^{0}$
16030	Solve the Inequality for g	4>=-g/8	$4 \geq - \frac{g}{8}$
16031	Solve for x	2/k-3/(x+k)=0	$\frac{2}{k} - \frac{3}{x + k} = 0$
16032	Simplify	10(3/10x-2/5)	$10 (\frac{3}{10} x - \frac{2}{5})$
16033	Simplify	( square root of z^9)/( fourth root of z^3)	$\frac{\sqrt{z^{9}}}{\sqrt[4]{z^{3}}}$
16034	Find the Exact Value	(f(-5))/(f(2))	$\frac{f (- 5)}{f (2)}$
16035	Evaluate	42/12+5*18^(-1/2)-2	$\frac{42}{12} + 5 \cdot 18^{- \frac{1}{2}} - 2$
16036	Solve for x	9/(x-1)=3+11/(x-1)	$\frac{9}{x - 1} = 3 + \frac{11}{x - 1}$
16037	Write in Standard Form	y=-2(2x+1)(x-3)+5	$y = - 2 (2 x + 1) (x - 3) + 5$
16038	Find the Inverse	y=e^(6-x)	$y = e^{6 - x}$
16039	Solve the Inequality for x	-3x^2+25x-54>-8x	$- 3 x^{2} + 25 x - 54 > - 8 x$
16040	Find the Domain and Range	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
16041	Evaluate	(1/27)^(4-x)=9^(2x-1)	${(\frac{1}{27})}^{4 - x} = 9^{2 x - 1}$
16042	Subtract	(10a^4-a)-(a^4+2a-2)	$(10 a^{4} - a) - (a^{4} + 2 a - 2)$
16043	Find the Domain	A(r)=2pir^2+16pir	$A (r) = 2 π r^{2} + 16 π r$
16044	Solve for x	14^(3-8x)+9=77	$14^{3 - 8 x} + 9 = 77$
16045	Simplify	i*3i	$i \cdot 3 i$
16046	Simplify	(8/9xy^4)^2	${(\frac{8}{9} x y^{4})}^{2}$
16047	Simplify	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
16048	Solve the Inequality for a	3a+1>(-7a-14)/-4	$3 a + 1 > \frac{- 7 a - 14}{- 4}$
16049	Write the Fraction in Simplest Form	(-4p^-5)/(-2(p^5)^5)	$\frac{- 4 p^{- 5}}{- 2 {(p^{5})}^{5}}$
16050	Find the LCM	9x^2+30x+25 and 9x^2-25	$9 x^{2} + 30 x + 25$ and $9 x^{2} - 25$
16051	Simplify	(4x^4y)^2-11x^8y^2	${(4 x^{4} y)}^{2} - 11 x^{8} y^{2}$
16052	Solve for x	\|2x-6\|-4>=6	$\| 2 x - 6 \| - 4 \geq 6$
16053	Solve the Inequality for θ	cos(theta)<0	$\cos (θ) < 0$
16054	Solve for x	2(x+3)<0	$2 (x + 3) < 0$
16055	Simplify	-3xy(4x^2y^4-2xy^3)	$- 3 x y (4 x^{2} y^{4} - 2 x y^{3})$
16056	Find the Exact Value	27(-2/3)	$27 (\frac{- 2}{3})$
16057	Identify the Zeros and Their Multiplicities	h(t)=3(t-5)^3(t-3)^3(t-2)	$h (t) = 3 {(t - 5)}^{3} {(t - 3)}^{3} (t - 2)$
16058	Simplify the Radical Expression	fourth root of (x^4)/81	$\sqrt[4]{\frac{x^{4}}{81}}$
16059	Solve for x	square root of 3+ square root of x=3	$\sqrt{3 + \sqrt{x}} = 3$
16060	Find the Domain and Range	y=5+ cube root of x-1	$y = 5 + \sqrt[3]{x - 1}$
16061	Find the Antiderivative	natural log of 1+x	$\ln (1 + x)$
16062	Write the Fraction in Simplest Form	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
16063	Divide Using Long Polynomial Division	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
16064	Find the Antiderivative	(12x^2-4x)dx	$(12 x^{2} - 4 x) d x$
16065	Find the Sum of the Infinite Geometric Series	5/2 , 2 , 8/5	$\frac{5}{2}$ , $2$ , $\frac{8}{5}$
16066	Solve for x	1/3(1/2x-9)=1/2(x+18)	$\frac{1}{3} (\frac{1}{2} x - 9) = \frac{1}{2} (x + 18)$
16067	Solve for v	59.8=1/20v^2+v	$59.8 = \frac{1}{20} v^{2} + v$
16068	Find the x and y Intercepts	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
16069	Solve the Inequality for s	-3s>=33	$- 3 s \geq 33$
16070	Simplify	( square root of c^9)/( fourth root of c)	$\frac{\sqrt{c^{9}}}{\sqrt[4]{c}}$
16071	Evaluate the Limit	limit as x approaches 2 from the left of (1x^2-2x)/(x^2-x-2)	$lim_{x \to 2^{-}} \frac{1 x^{2} - 2 x}{x^{2} - x - 2}$
16072	Solve for x	square root of x*(x+2)+4=2	$\sqrt{x \cdot (x + 2) + 4} = 2$
16073	Add	(m+3)+(2m-3)	$(m + 3) + (2 m - 3)$
16074	Solve the Inequality for x	-x/24<-1/6	$- \frac{x}{24} < - \frac{1}{6}$
16075	Subtract	(2x^2y-5xy+3y^2)-(7xy-6y^2+5x^2y)	$(2 x^{2} y - 5 x y + 3 y^{2}) - (7 x y - 6 y^{2} + 5 x^{2} y)$
16076	Simplify	(7x^4+4-x+3x^3)+(5x^3+3x-9)	$(7 x^{4} + 4 - x + 3 x^{3}) + (5 x^{3} + 3 x - 9)$
16077	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
16078	Solve for n	5^2*5^4=5^n	$5^{2} \cdot 5^{4} = 5^{n}$
16079	Evaluate the Integral	integral from 0 to pi/3 of sin(x)cos(x)^3 with respect to x	$\int_{0}^{\frac{π}{3}} \sin (x) \cos^{3} (x) d x$
16080	Evaluate the Limit	limit as x approaches negative infinity of (4x^3+3x^2)/(x-7x^2)	$lim_{x \to - \infty} \frac{4 x^{3} + 3 x^{2}}{x - 7 x^{2}}$
16081	Evaluate the Limit	limit as x approaches 0 of (e^x-cos(x)-2x)/(x^2-2x)	$lim_{x \to 0} \frac{e^{x} - \cos (x) - 2 x}{x^{2} - 2 x}$
16082	Evaluate the Limit	limit as x approaches 0 of (x+e^(2x))^(1/x)	$lim_{x \to 0} {(x + e^{2 x})}^{\frac{1}{x}}$
16083	Write the Fraction in Simplest Form	(-5d^-3)/(-4(d^-5)^3)	$\frac{- 5 d^{- 3}}{- 4 {(d^{- 5})}^{3}}$
16084	Simplify the Radical Expression	(-27x^-9)^(1/3)	${(- 27 x^{- 9})}^{\frac{1}{3}}$
16085	Factor	ax+ay+bx+by-cx-cy	$a x + a y + b x + b y - c x - c y$
16086	Solve for x	4/3=-6x-5/3	$\frac{4}{3} = - 6 x - \frac{5}{3}$
16087	Find the End Behavior	2x^4+8x^3+10x^2+40x	$2 x^{4} + 8 x^{3} + 10 x^{2} + 40 x$
16088	Solve Using the Square Root Property	5(x^2-5)+8=3	$5 (x^{2} - 5) + 8 = 3$
16089	Evaluate the Function	15+18 , 36-75+84 , 214-0 , 25	$15 + 18$ , $36 - 75 + 84$ , $214 - 0$ , $25$
16090	Verify the Identity	x^3-27=(x-3)(x^2+3x+9)	$x^{3} - 27 = (x - 3) (x^{2} + 3 x + 9)$
16091	Find All Complex Solutions	4n^2+24n+25=4n	$4 n^{2} + 24 n + 25 = 4 n$
16092	Solve for x	4/3x-1=2/3x+6	$\frac{4}{3} x - 1 = \frac{2}{3} x + 6$
16093	Solve the System of Equations	8x+3y+z=-2 3x-5y=20 12x+30y=-120	$8 x + 3 y + z = - 2$ $3 x - 5 y = 20$ $12 x + 30 y = - 120$
16094	Evaluate the Integral	integral of (2x+1)(2x-1) with respect to x	$\int (2 x + 1) (2 x - 1) d x$
16095	Write in Exponential Form	( fifth root of mn)^2	${(\sqrt[5]{m n})}^{2}$
16096	Solve for x	x^(1/2)-(x-5)^(1/2)=2	$x^{\frac{1}{2}} - {(x - 5)}^{\frac{1}{2}} = 2$
16097	Solve for x	(81^(3x+2))/(243^(-x))=3^4	$\frac{81^{3 x + 2}}{243^{- x}} = 3^{4}$
16098	Evaluate	-3x+8<15	$- 3 x + 8 < 15$
16099	Simplify	2i^4+i^2	$2 i^{4} + i^{2}$
16100	Simplify	52+(-x/3)+(-40)	$52 + (- \frac{x}{3}) + (- 40)$