Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46101	Simplify	5/(3x^2)-6x	$\frac{5}{3 x^{2}} - 6 x$
46102	Solve the System of Equations	2x-y=17 x-y=10	$2 x - y = 17$ $x - y = 10$
46103	Evaluate the Integral	integral of (1/x)^2 with respect to x	$\int {(\frac{1}{x})}^{2} d x$
46104	Solve for h	-7h+2(-4h+5)>-4h+1+10	$- 7 h + 2 (- 4 h + 5) > - 4 h + 1 + 10$
46105	Write in Standard Form	square root of 48	$\sqrt{48}$
46106	Write the Fraction in Simplest Form	limit as x approaches 3 of (x^3-27)/(x-3)	$lim_{x \to 3} \frac{x^{3} - 27}{x - 3}$
46107	Evaluate	(2pi)÷4pi	$2 π \div 4 π$
46108	Simplify	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
46109	Solve for x	1/3x-3/4=-1/12	$\frac{1}{3} x - \frac{3}{4} = - \frac{1}{12}$
46110	Solve for h	6h^5=12h^3	$6 h^{5} = 12 h^{3}$
46111	Find the Derivative - d/dx	(1+ natural log of x)/(x^2)	$\frac{1 + \ln (x)}{x^{2}}$
46112	Find the Inflection Points	1/10x^5-x^4	$\frac{1}{10} x^{5} - x^{4}$
46113	Simplify	(2x^2+13x+15)/(4x^2-9)*(2x^2+3x-9)/(x^2+2x-15)	$\frac{2 x^{2} + 13 x + 15}{4 x^{2} - 9} \cdot \frac{2 x^{2} + 3 x - 9}{x^{2} + 2 x - 15}$
46114	Divide	( square root of 3x^2y^3)/(4 square root of 5xy^3)	$\frac{\sqrt{3 x^{2} y^{3}}}{4 \sqrt{5 x y^{3}}}$
46115	Solve for x	1/5(x-6/5)=-51/25	$\frac{1}{5} (x - \frac{6}{5}) = - \frac{51}{25}$
46116	Simplify	(-2x^-5y^3)/(z^-2)	$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$
46117	Graph	y>=x+1 , y>=10 , x>=0	$y \geq x + 1$ , $y \geq 10$ , $x \geq 0$
46118	Find the Asymptotes	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
46119	Find the Asymptotes	y=(4x-16)/(x^2-16)	$y = \frac{4 x - 16}{x^{2} - 16}$
46120	Find Amplitude, Period, and Phase Shift	y=4/3cot(4(x-pi/2))+1	$y = \frac{4}{3} \cot (4 (x - \frac{π}{2})) + 1$
46121	Find the LCD	1/(4x) and 3/(7x+1)	$\frac{1}{4 x}$ and $\frac{3}{7 x + 1}$
46122	Simplify	(x-2)(x^2-x+2)x^3	$(x - 2) (x^{2} - x + 2) x^{3}$
46123	Graph	x^2+y^2<=25 y>=-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y \geq - \| x \| + 2$
46124	Find the Center and Radius	x^2+y^2+x-4y=60	$x^{2} + y^{2} + x - 4 y = 60$
46125	Solve for q	Solve: q^2+q=0	Solve: $q^{2} + q = 0$
46126	Solve for q	q-r+s=P	$q - r + s = P$
46127	Find the x and y Intercepts	p(x)=(x+2)(2x^2+3x-9)	$p (x) = (x + 2) (2 x^{2} + 3 x - 9)$
46128	Find the Coterminal Angle	16pi	$16 π$
46129	Divide	(18 square root of 2)/(3 square root of 3)	$\frac{18 \sqrt{2}}{3 \sqrt{3}}$
46130	Simplify	(6x^3y^2-6x^3)/(3x^3y^3-3x^3)	$\frac{6 x^{3} y^{2} - 6 x^{3}}{3 x^{3} y^{3} - 3 x^{3}}$
46131	Simplify	( cube root of 135h^2)( cube root of 4h^2)	$(\sqrt[3]{135 h^{2}}) (\sqrt[3]{4 h^{2}})$
46132	Find All Complex Solutions	2sec(x)^2+tan(x)^2-3=0	$2 \sec^{2} (x) + \tan^{2} (x) - 3 = 0$
46133	Simplify	(4xh+2h^2)/h	$\frac{4 x h + 2 h^{2}}{h}$
46134	Simplify	square root of 4x+4	$\sqrt{4 x + 4}$
46135	Find the Exact Value	1/( log base 2 of 12)+1/( log base 8 of 12)+1/( log base 9 of 12)	$\frac{1}{\log_{2} (12)} + \frac{1}{\log_{8} (12)} + \frac{1}{\log_{9} (12)}$
46136	Write in Standard Form	(12x^5+10x^3-8x^4-6x+4)-(7x^5+2x^4-12+6x-5x^3+x^2)	$(12 x^{5} + 10 x^{3} - 8 x^{4} - 6 x + 4) - (7 x^{5} + 2 x^{4} - 12 + 6 x - 5 x^{3} + x^{2})$
46137	Write in Slope-Intercept Form	(2,-4) and (0,-4)	$(2, - 4)$ and $(0, - 4)$
46138	Solve for x	12/(x^2+x-2)-(x+3)/(x-1)=(1-x)/(x+2)	$\frac{12}{x^{2} + x - 2} - \frac{x + 3}{x - 1} = \frac{1 - x}{x + 2}$
46139	Solve for x	log of x(5x-4)=2	$\log (x) (5 x - 4) = 2$
46140	Find the Difference Quotient	1/(x+1)	$\frac{1}{x + 1}$
46141	Simplify	(5x)/(x-7)+(2x)/(4x-28)	$\frac{5 x}{x - 7} + \frac{2 x}{4 x - 28}$
46142	Find the Domain and Range	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
46143	Factor	Factor: x^2-5x-24	Factor: $x^{2} - 5 x - 24$
46144	Simplify	-3(2/3)^0	$- 3 {(\frac{2}{3})}^{0}$
46145	Add	x/(x-3)+(5x+1)/(x+8)	$\frac{x}{x - 3} + \frac{5 x + 1}{x + 8}$
46146	Evaluate	(-2x^-5y^3)/(z^-2)	$\frac{- 2 x^{- 5} y^{3}}{z^{- 2}}$
46147	Solve for x	(3x-8)^2=3x^2-8x	${(3 x - 8)}^{2} = 3 x^{2} - 8 x$
46148	Find dx/dy	3x^2+2xy+y^2=2	$3 x^{2} + 2 x y + y^{2} = 2$
46149	Solve for s	-7+s=40	$- 7 + s = 40$
46150	Solve by Addition/Elimination	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
46151	Solve for x	(x+3)/(x-2)>=0	$\frac{x + 3}{x - 2} \geq 0$
46152	Find dy/dx	sin(4x+5y^2)=5x	$\sin (4 x + 5 y^{2}) = 5 x$
46153	Solve the Function Operation	f(8) if f(x)=x+11	$f (8)$ if $f (x) = x + 11$
46154	Solve for n	f(x)=7x^(-3n)+x^2	$f (x) = 7 x^{- 3 n} + x^{2}$
46155	Solve for w	8.25+1/4w=10.75	$8.25 + \frac{1}{4} w = 10.75$
46156	Divide	(1/4)÷(-1/2)	$\frac{1}{4} \div \frac{- 1}{2}$
46157	Simplify the Radical Expression	(3 square root of 3)/( square root of 18)	$\frac{3 \sqrt{3}}{\sqrt{18}}$
46158	Evaluate	tan(x)^2=1	$\tan^{2} (x) = 1$
46159	Add	(3pi)/2+(3pi)/2	$\frac{3 π}{2} + \frac{3 π}{2}$
46160	Evaluate	300*3^-1	$300 \cdot 3^{- 1}$
46161	Find the Antiderivative	(9x^2)/( square root of 1-x^3)	$\frac{9 x^{2}}{\sqrt{1 - x^{3}}}$
46162	Solve by Completing the Square	2x^2+2x-5=x^2	$2 x^{2} + 2 x - 5 = x^{2}$
46163	Solve for k	square root of 8(x-k)=x-k	$\sqrt{8 (x - k)} = x - k$
46164	Evaluate the Limit	limit as x approaches 1/3 of (-9x^2)/(2-3x)	$lim_{x \to \frac{1}{3}} \frac{- 9 x^{2}}{2 - 3 x}$
46165	Solve for m	square root of 2m=2	$\sqrt{2 m} = 2$
46166	Simplify	3*(3x+7)/-5	$3 \cdot \frac{3 x + 7}{- 5}$
46167	Solve by Graphing	x+4y=-8 y=1/2x-5	$x + 4 y = - 8$ $y = \frac{1}{2} x - 5$
46168	Evaluate	11.3e+12.8=7.5e+35.6	$11.3 e + 12.8 = 7.5 e + 35.6$
46169	Round to the Nearest Hundredth	29/24	$\frac{29}{24}$
46170	Solve for y	y=72 , x=3	$y = 72$ , $x = 3$
46171	Find the Discriminant	x^2+3x=-2x-6	$x^{2} + 3 x = - 2 x - 6$
46172	Find dy/dx	square root of x+3y=5x	$\sqrt{x + 3 y} = 5 x$
46173	Solve for x	1/4(x+1)^2-16=0	$\frac{1}{4} {(x + 1)}^{2} - 16 = 0$
46174	Subtract	5/(8a)-2/(8a)	$\frac{5}{8 a} - \frac{2}{8 a}$
46175	Simplify	fourth root of 4* cube root of 4	$\sqrt[4]{4} \cdot \sqrt[3]{4}$
46176	Write the Fraction in Simplest Form	cube root of 16	$\sqrt[3]{16}$
46177	Evaluate	(1-2)/(3^-3)	$\frac{1 - 2}{3^{- 3}}$
46178	Find Where Undefined/Discontinuous	f(x)=(x+3)/( square root of x)	$f (x) = \frac{x + 3}{\sqrt{x}}$
46179	Write in Standard Form	3/4x+2=5/12	$\frac{3}{4} x + 2 = \frac{5}{12}$
46180	Solve for x	log base x of x+6=2	$\log_{x} (x) + 6 = 2$
46181	Solve the System of Equations	y=x^2+3 , y=-2x^2+3	$y = x^{2} + 3$ , $y = - 2 x^{2} + 3$
46182	Solve for x	-(3x-8)/(2(4-x)^(1/2))=0	$- \frac{3 x - 8}{2 {(4 - x)}^{\frac{1}{2}}} = 0$
46183	Find the Product	-3v(-8u^2-8uv-7v^2)	$- 3 v (- 8 u^{2} - 8 u v - 7 v^{2})$
46184	Evaluate	-8(x^-3y^4)^-5	$- 8 {(x^{- 3} y^{4})}^{- 5}$
46185	Graph	-1/3\|x+2\|-4	$- \frac{1}{3} \| x + 2 \| - 4$
46186	Graph	y=1/2tan(x-pi/2)	$y = \frac{1}{2} \tan (x - \frac{π}{2})$
46187	Graph	-8+x<-3	$- 8 + x < - 3$
46188	Combine Like Terms	(-10x^2-x+6)+(10x^2-5)	$(- 10 x^{2} - x + 6) + (10 x^{2} - 5)$
46189	Factor	f(x)=5x^3-20x	$f (x) = 5 x^{3} - 20 x$
46190	Simplify	(a-b)(b-c)(c-a)	$(a - b) (b - c) (c - a)$
46191	Convert to Radical Form	5x^3y^(1/2)	$5 x^{3} y^{\frac{1}{2}}$
46192	Divide	((p^2-q^2)/(p+q))÷((p-q)/(p+q))	$\frac{p^{2} - q^{2}}{p + q} \div \frac{p - q}{p + q}$
46193	Solve for x	(1/3)^(2x-5)=120	${(\frac{1}{3})}^{2 x - 5} = 120$
46194	Graph	p(x)=2x^3+5x^2+x-2	$p (x) = 2 x^{3} + 5 x^{2} + x - 2$
46195	Expand the Logarithmic Expression	log of cube root of u^3	$\log (\sqrt[3]{u^{3}})$
46196	Simplify	(-32x^5)^(-1/5)	${(- 32 x^{5})}^{- \frac{1}{5}}$
46197	Simplify	square root of -(x+3)^4	$\sqrt{- {(x + 3)}^{4}}$
46198	Simplify	(2xy)^5*6x^8y^10	${(2 x y)}^{5} \cdot 6 x^{8} y^{10}$
46199	Solve for k	4^(5k)=37	$4^{5 k} = 37$
46200	Solve the Inequality for m	-13m>-26	$- 13 m > - 26$