Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16101	Find the Maximum/Minimum Value	-x(x+2)(x-2)	$- x (x + 2) (x - 2)$
16102	Solve for x	3-9/4=(2x+9)/(4x)	$3 - \frac{9}{4} = \frac{2 x + 9}{4 x}$
16103	Find the Derivative - d/dx	2x-pi	$2 x - π$
16104	Add	1/10+3/10+1/5+1/4+3/10	$\frac{1}{10} + \frac{3}{10} + \frac{1}{5} + \frac{1}{4} + \frac{3}{10}$
16105	Simplify	4a+b+10a-10b	$4 a + b + 10 a - 10 b$
16106	Simplify	(2a)/( square root of 36a^7)	$\frac{2 a}{\sqrt{36 a^{7}}}$
16107	Evaluate the Integral	integral of x^(3/4)+x^(4/3) with respect to x	$\int x^{\frac{3}{4}} + x^{\frac{4}{3}} d x$
16108	Integrate By Parts	integral from 0 to 1 of xe^x with respect to x	$\int_{0}^{1} x e^{x} d x$
16109	Graph	y<=-2 y<=x-3	$y \leq - 2$ $y \leq x - 3$
16110	Find the Class Width	3 , 2 , 3 , 4 , 5 , 6 , 4 , 5 , 2	$3$ , $2$ , $3$ , $4$ , $5$ , $6$ , $4$ , $5$ , $2$
16111	Find dy/dx	3y^2-y=-2x^2	$3 y^{2} - y = - 2 x^{2}$
16112	Evaluate the Integral	integral of ( cube root of x+cos(2x+5)) with respect to x	$\int (\sqrt[3]{x} + \cos (2 x + 5)) d x$
16113	Evaluate	10÷( square root of 2)	$10 \div \sqrt{2}$
16114	Simplify	((x^2-7x+12)/(x^2+x-12)*(-4x)/(-x-2))÷((x-4)/(x+4))	$\frac{x^{2} - 7 x + 12}{x^{2} + x - 12} \cdot \frac{- 4 x}{- x - 2} \div \frac{x - 4}{x + 4}$
16115	Solve for a	-5+7a^3=-194	$- 5 + 7 a^{3} = - 194$
16116	Multiply	(4 square root of 2-1)^2	${(4 \sqrt{2} - 1)}^{2}$
16117	Simplify	(5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)	$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$
16118	Solve the System of Equations	10x+4y-2z=-15 -8y+9z=70 3y-2z=-18	$10 x + 4 y - 2 z = - 15$ $- 8 y + 9 z = 70$ $3 y - 2 z = - 18$
16119	Determine if (7,2) is a Solution	2x-y>10 , (7,2)	$2 x - y > 10$ , $(7, 2)$
16120	Simplify	a^2-b^2+a^2+ab+3b^2	$a^{2} - b^{2} + a^{2} + a b + 3 b^{2}$
16121	Write in Standard Form	z(5z-3)-2z	$z (5 z - 3) - 2 z$
16122	Solve for n	-e^(-3.9n-1)-1=-3	$- e^{- 3.9 n - 1} - 1 = - 3$
16123	Simplify	((x^2+6x+8)/(x+4))÷((x^2-4)/(4x-8))	$\frac{x^{2} + 6 x + 8}{x + 4} \div \frac{x^{2} - 4}{4 x - 8}$
16124	Graph	x^2+x-10>10	$x^{2} + x - 10 > 10$
16125	Find the Exact Value	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
16126	Simplify the Radical Expression	cube root of x^5y^6z^10	$\sqrt[3]{x^{5} y^{6} z^{10}}$
16127	Simplify	(2x^2-4x+1)+(5x+x^2-1)	$(2 x^{2} - 4 x + 1) + (5 x + x^{2} - 1)$
16128	Simplify	(20qr^-2t^-5)/(4q^0r^4t^-2)	$\frac{20 q r^{- 2} t^{- 5}}{4 q^{0} r^{4} t^{- 2}}$
16129	Simplify	5 square root of (49m-49n)/25	$5 \sqrt{\frac{49 m - 49 n}{25}}$
16130	Solve the Inequality for x	(2x)/3>4	$\frac{2 x}{3} > 4$
16131	Find the Antiderivative	(2x+1)/(x^2+x+1)	$\frac{2 x + 1}{x^{2} + x + 1}$
16132	Simplify	6+5x-(-3x)	$6 + 5 x - (- 3 x)$
16133	Solve for c	5/9(8+c)=-20	$\frac{5}{9} (8 + c) = - 20$
16134	Solve the Function Operation	f(x)=8(x+10) ; find f^-1(x)	$f (x) = 8 (x + 10)$ ; find $f^{- 1} (x)$
16135	Find dy/dx	4xy-x^2-2=2y^2	$4 x y - x^{2} - 2 = 2 y^{2}$
16136	Simplify	-x^2+5x+x^2	$- x^{2} + 5 x + x^{2}$
16137	Multiply	square root of 3x^5* square root of 15x	$\sqrt{3 x^{5}} \cdot \sqrt{15 x}$
16138	Find the x and y Intercepts	(x^2+7x+10)/(2x^2-x-10)	$\frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
16139	Convert to Interval Notation	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
16140	Simplify	(3x-9)/(10x)*(2x^3+8x^2)/(x^2+x-12)	$\frac{3 x - 9}{10 x} \cdot \frac{2 x^{3} + 8 x^{2}}{x^{2} + x - 12}$
16141	Divide Using Synthetic Division	(3x^4-x^2-6)/(x-3+3i)	$\frac{3 x^{4} - x^{2} - 6}{x - 3 + 3 i}$
16142	Convert from Radians to Degrees	sin(1)	$\sin (1)$
16143	Find the Union	[-16,12) intersect (11,18)	$[- 16, 12) \cap (11, 18)$
16144	Write the Fraction in Simplest Form	(15m^-7)/(3(m^-2)^4)	$\frac{15 m^{- 7}}{3 {(m^{- 2})}^{4}}$
16145	Solve for x	-3/4-8/x=-5/(4x)	$\frac{- 3}{4} - \frac{8}{x} = \frac{- 5}{4 x}$
16146	Evaluate	75% of 20	$75 %$ of $20$
16147	Factor	4x^2(2x^2+5)+9(2x^2+5)	$4 x^{2} (2 x^{2} + 5) + 9 (2 x^{2} + 5)$
16148	Divide	(x^3+6x-1)/(-3x)	$\frac{x^{3} + 6 x - 1}{- 3 x}$
16149	Graph	y=1/4csc(x+pi/4)	$y = \frac{1}{4} \csc (x + \frac{π}{4})$
16150	Solve for A	A=1/2pir^2	$A = \frac{1}{2} π r^{2}$
16151	Evaluate the Integral	integral of 1/( square root of 8-2x-x^2) with respect to x	$\int \frac{1}{\sqrt{8 - 2 x - x^{2}}} d x$
16152	Evaluate	f(x)=2(0.75)^3	$f (x) = 2 {(0.75)}^{3}$
16153	Simplify the Radical Expression	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
16154	Expand the Logarithmic Expression	log of fourth root of (x^3y^2)/(z^4)	$\log (\sqrt[4]{\frac{x^{3} y^{2}}{z^{4}}})$
16155	Solve the Function Operation	f(x)=5x-3 ; find f(-3)	$f (x) = 5 x - 3$ ; find $f (- 3)$
16156	Simplify	1/(9x^3)*(3x)/(2a^2)	$\frac{1}{9 x^{3}} \cdot \frac{3 x}{2 a^{2}}$
16157	Solve the Function Operation	f(x)=-2x-15 g(x)=2x^2+3x+3 Find: (fog)(x)	$f (x) = - 2 x - 15$ $g (x) = 2 x^{2} + 3 x + 3$ Find: $((f \circ g)) (x)$
16158	Simplify	tan(2)(x)-tan(2)xsin(2)x	$\tan (2) (x) - \tan (2) x \sin (2) x$
16159	Find the Derivative - d/dx	(darccot(3x))/(dx)	$\frac{d arccot (3 x)}{d x}$
16160	Evaluate the Limit	limit as x approaches 0 of x^2+3x-2+(2x)/(x-1)	$lim_{x \to 0} x^{2} + 3 x - 2 + \frac{2 x}{x - 1}$
16161	Find dy/dx	2=5xy+5y	$2 = 5 x y + 5 y$
16162	Solve for x	(x+8)/(9x)-8/9=-1	$\frac{x + 8}{9 x} - \frac{8}{9} = - 1$
16163	Solve the Function Operation	f(x)=x^2-2x-13 g(x)=-x-3 Find: f(g(x))	$f (x) = x^{2} - 2 x - 13$ $g (x) = - x - 3$ Find: $f (g (x))$
16164	Write in Slope-Intercept Form	-x+y=x-5	$- x + y = x - 5$
16165	Evaluate the Integral	integral from -1/3 to 1/3 of 1/(1+9x^2) with respect to x	$\int_{- \frac{1}{3}}^{\frac{1}{3}} \frac{1}{1 + 9 x^{2}} d x$
16166	Simplify	3a2b2	$3 a \cdot 2 b \cdot 2$
16167	Graph	-x^2+y>=4	$- x^{2} + y \geq 4$
16168	Simplify	(2^(1/3)*2^-3)^0	${(2^{\frac{1}{3}} \cdot 2^{- 3})}^{0}$
16169	Simplify the Radical Expression	square root of 72x^5+2x^2 square root of 18x-x square root of 2x^3	$\sqrt{72 x^{5}} + 2 x^{2} \sqrt{18 x} - x \sqrt{2 x^{3}}$
16170	Simplify	(15x^5y^-2)/(3x^7y^-3)	$\frac{15 x^{5} y^{- 2}}{3 x^{7} y^{- 3}}$
16171	Divide Using Long Polynomial Division	(8x^3-3x+1)÷(4x^3+x^2-2x-3)	$(8 x^{3} - 3 x + 1) \div (4 x^{3} + x^{2} - 2 x - 3)$
16172	Solve for d	a=-bcd	$a = - b c d$
16173	Divide	(x^2+3)/(3x)	$\frac{x^{2} + 3}{3 x}$
16174	Solve for y	2 1/4+y=5 3/4	$2 \frac{1}{4} + y = 5 \frac{3}{4}$
16175	Simplify/Condense	5* log base 8 of c^3d^2+3* log base 8 of cd^7	$5 \cdot \log_{8} (c^{3} d^{2}) + 3 \cdot \log_{8} (c d^{7})$
16176	Simplify	(2x)/(x-9)-x/(2(x-9))	$\frac{2 x}{x - 9} - \frac{x}{2 (x - 9)}$
16177	Evaluate	sec(x)^4-tan(x)^4	$\sec^{4} (x) - \tan^{4} (x)$
16178	Simplify	(6/(13x))÷(1/x)	$\frac{6}{13 x} \div \frac{1}{x}$
16179	Solve the Function Operation	f(x)=2x-7 if 1<=x<5; 4 if x=5; -4 if x>5 Find f(5)	$f (x) = {\begin{cases} 2 x - 7 & 1 \leq x < 5 \\ 4 & x = 5 \\ - 4 & x > 5 \end{cases}$ Find $f (5)$
16180	Evaluate	3( log base 9 of x)^2=6 log base 9 of x	$3 {\log_{9}}^{2} (x) = 6 \log_{9} (x)$
16181	Find dy/dx	2y^2-xy-5+x^3=0	$2 y^{2} - x y - 5 + x^{3} = 0$
16182	Simplify	(3y)/(2y^2-y)+2/(2y)	$\frac{3 y}{2 y^{2} - y} + \frac{2}{2 y}$
16183	Convert to Trigonometric Form	cot(-x)cos(-x)+sin(-x)	$\cot (- x) \cos (- x) + \sin (- x)$
16184	Evaluate	arccsc(csc((4pi)/3))	$arccsc (\csc (\frac{4 π}{3}))$
16185	Solve for x	-2x=x^2-6	$- 2 x = x^{2} - 6$
16186	Solve Using the Quadratic Formula	-5x-2=-2x^2-2x	$- 5 x - 2 = - 2 x^{2} - 2 x$
16187	Simplify	((x^3-64x)/(x-10)*(x^2-5x+6)/(x^2-4))÷((x^2-11x+24)/(x^2-8x-20))	$\frac{x^{3} - 64 x}{x - 10} \cdot \frac{x^{2} - 5 x + 6}{x^{2} - 4} \div \frac{x^{2} - 11 x + 24}{x^{2} - 8 x - 20}$
16188	Solve for x	2x-32+4(3x-2462)=14x	$2 x - 32 + 4 (3 x - 2462) = 14 x$
16189	Graph	2x+5y>-6 -4x+3y<=2	$2 x + 5 y > - 6$ $- 4 x + 3 y \leq 2$
16190	Solve the System of Inequalities	5x-5>=-5 or -3x+20<=12	$5 x - 5 \geq - 5$ or $- 3 x + 20 \leq 12$
16191	Simplify	( square root of x- square root of 8)( square root of x+ square root of 2)	$(\sqrt{x} - \sqrt{8}) (\sqrt{x} + \sqrt{2})$
16192	Solve Using the Quadratic Formula	x^2+6x=x+50	$x^{2} + 6 x = x + 50$
16193	Evaluate Using the Given Value	Evaluate j/k-0.2k when j=25 and k=5	Evaluate $\frac{j}{k} - 0.2 k$ when $j = 25$ and $k = 5$
16194	Solve for v	w=(15(t-2v))/v	$w = \frac{15 (t - 2 v)}{v}$
16195	Simplify	((32^(4/5))/(32^(3/5)))^-1	${(\frac{32^{\frac{4}{5}}}{32^{\frac{3}{5}}})}^{- 1}$
16196	Multiply	-2yz^2*(-5y^2z-4z)	$- 2 y z^{2} \cdot (- 5 y^{2} z - 4 z)$
16197	Find All Complex Solutions	square root of 2x-1-x+2=0	$\sqrt{2 x - 1} - x + 2 = 0$
16198	Find the x and y Intercepts	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
16199	Find dy/dx	-2y^2+x^2=-2+y+2y^3	$- 2 y^{2} + x^{2} = - 2 + y + 2 y^{3}$
16200	Write the Fraction in Simplest Form	((4yh^3)^-5)/(20h^-4)	$\frac{{(4 y h^{3})}^{- 5}}{20 h^{- 4}}$