Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28801	Write the Fraction in Simplest Form	(-6)^-1	${(- 6)}^{- 1}$
28802	Subtract	1/(x-1)-7/(x^2+5x-6)	$\frac{1}{x - 1} - \frac{7}{x^{2} + 5 x - 6}$
28803	Simplify	square root of 24* square root of 80/192	$\sqrt{24} \cdot \sqrt{\frac{80}{192}}$
28804	Simplify the Radical Expression	fourth root of 2* sixth root of 2^5	$\sqrt[4]{2} \cdot \sqrt[6]{2^{5}}$
28805	Write with Rational (Fractional) Exponents	( square root of x^12)/( square root of x^5)	$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$
28806	Find dy/dx	-4y-2=-2xy	$- 4 y - 2 = - 2 x y$
28807	Divide Using Long Polynomial Division	12x^3+7x^2+9x+2 divided by 4x+1	$12 x^{3} + 7 x^{2} + 9 x + 2$ divided by $4 x + 1$
28808	Find the Slope at (1/2,8) Using Implicit Differentiation	f(t)=t^-3 ;, (1/2,8)	$f (t) = t^{- 3}$ ;, $(\frac{1}{2}, 8)$
28809	Evaluate	((8x^11y^-3)/(4x^5y^-7))^0	${(\frac{8 x^{11} y^{- 3}}{4 x^{5} y^{- 7}})}^{0}$
28810	Verify the Identity	cos(-theta)=cos(theta)	$\cos (- θ) = \cos (θ)$
28811	Simplify	-i^6i^3i^5	$- i^{6} \cdot i^{3} \cdot i^{5}$
28812	Evaluate	-7 5/6+(-7 1/4)	$- 7 \frac{5}{6} + (- 7 \frac{1}{4})$
28813	Find the Slope	(5/8,-1) and (-1/4,-1/4)	$(\frac{5}{8}, - 1)$ and $(- \frac{1}{4}, - \frac{1}{4})$
28814	Solve for w	1/6w+1/8=1/3	$\frac{1}{6} w + \frac{1}{8} = \frac{1}{3}$
28815	Evaluate	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
28816	Simplify	(5x+10)/(4x-8)*(4-2x)/(x+2)	$\frac{5 x + 10}{4 x - 8} \cdot \frac{4 - 2 x}{x + 2}$
28817	Multiply	33/10*14/22	$\frac{33}{10} \cdot \frac{14}{22}$
28818	Evaluate the Limit	limit as x approaches infinity of (-x^2)/(4x+4)	$lim_{x \to \infty} \frac{- x^{2}}{4 x + 4}$
28819	Simplify	((x+2)^5-32)/x	$\frac{{(x + 2)}^{5} - 32}{x}$
28820	Simplify/Condense	1/2 log base 3 of x-2 log base 3 of y+4 log base 3 of z	$\frac{1}{2} \log_{3} (x) - 2 \log_{3} (y) + 4 \log_{3} (z)$
28821	Solve by Substitution	-5x+y=-2 and -3x+6y=-12	$- 5 x + y = - 2$ and $- 3 x + 6 y = - 12$
28822	Convert to Rectangular Coordinates	(4 square root of 3,pi/3)	$(4 \sqrt{3}, \frac{π}{3})$
28823	Factor	sec(x)^2-sec(x)-2	$\sec^{2} (x) - \sec (x) - 2$
28824	Solve for x	2^(-3x)*2^(2x)=2^(2x)	$2^{- 3 x} \cdot 2^{2 x} = 2^{2 x}$
28825	Subtract	(2x^2)/7-(8x^5+5x^2y^2)/(x^3+4y^2)	$\frac{2 x^{2}}{7} - \frac{8 x^{5} + 5 x^{2} y^{2}}{x^{3} + 4 y^{2}}$
28826	Find the Mean	3 , 4 , 8 , 8 , 10 , 11 , 12 , 13 , 14 , 15 , 15 , 16 , 16 , 17 , 17 , 18 , 21 , 22 , 22 , 24 , 24 , 25 , 26 , 26 , 27 , 27 , 29 , 29 , 31 , 32 , 33 , 33 , 34 , 34 , 35 , 37 , 40 , 44 , 44 , 47	$3$ , $4$ , $8$ , $8$ , $10$ , $11$ , $12$ , $13$ , $14$ , $15$ , $15$ , $16$ , $16$ , $17$ , $17$ , $18$ , $21$ , $22$ , $22$ , $24$ , $24$ , $25$ , $26$ , $26$ , $27$ , $27$ , $29$ , $29$ , $31$ , $32$ , $33$ , $33$ , $34$ , $34$ , $35$ , $37$ , $40$ , $44$ , $44$ , $47$
28827	Find the Excluded Values	(x+2)/(x^2-2x-15)+x/(x+3)	$\frac{x + 2}{x^{2} - 2 x - 15} + \frac{x}{x + 3}$
28828	Find Where Increasing/Decreasing	y=2x^3-3x^2-12x	$y = 2 x^{3} - 3 x^{2} - 12 x$
28829	Factor by Grouping	2ab-3b^2	$2 a b - 3 b^{2}$
28830	Write in Standard Form	(12+8x^3+3x-4x^2)+(5x^3+15-x+2x^2)	$(12 + 8 x^{3} + 3 x - 4 x^{2}) + (5 x^{3} + 15 - x + 2 x^{2})$
28831	Find the Constant of Variation	y=12 when x=4	$y = 12$ when $x = 4$
28832	Simplify	( fourth root of x* fourth root of 81x)/( fourth root of 16x^36)	$\frac{\sqrt[4]{x} \cdot \sqrt[4]{81 x}}{\sqrt[4]{16 x^{36}}}$
28833	Simplify the Radical Expression	-x square root of 200x^2-9 square root of 2x^4	$- x \sqrt{200 x^{2}} - 9 \sqrt{2 x^{4}}$
28834	Add	(x+6)+2(3x+5)	$(x + 6) + 2 (3 x + 5)$
28835	Simplify	12g+6f-2f-5g-4f	$12 g + 6 f - 2 f - 5 g - 4 f$
28836	Find the Exact Value	tan(13 degrees )-(sin(13 degrees ))/(cos(13 degrees ))	$\tan (13 °) - \frac{\sin (13 °)}{\cos (13 °)}$
28837	Factor	7x^(5/3)+49x^(2/3)	$7 x^{\frac{5}{3}} + 49 x^{\frac{2}{3}}$
28838	Solve the Rational Equation for x	9+3/(x+3)=-x/(x+3)	$9 + \frac{3}{x + 3} = - \frac{x}{x + 3}$
28839	Simplify	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
28840	Find the Holes in the Graph	f(x)=(2x^2-2x-24)/(x^2+3x)	$f (x) = \frac{2 x^{2} - 2 x - 24}{x^{2} + 3 x}$
28841	Solve for r	v=1/3hpir^2	$v = \frac{1}{3} h π r^{2}$
28842	Solve the Rational Equation for x	3^(x+1)+3^x=12	$3^{x + 1} + 3^{x} = 12$
28843	Simplify the Radical Expression	15 root of x^10b^15	$\sqrt[15]{x^{10} b^{15}}$
28844	Simplify	square root of -6* square root of -2* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 2} \cdot \sqrt{- 5}$
28845	Convert to Interval Notation	10-4\|9y-10\|<-94	$10 - 4 \| 9 y - 10 \| < - 94$
28846	Solve for a	(ma)/(th)=i+love	$\frac{m a}{t h} = i + l o v e$
28847	Factor	x^2-z^2+y^2-2xy	$x^{2} - z^{2} + y^{2} - 2 x y$
28848	Find f(h(x))	f(x) = square root of x-1 and h(x)=x^2+5	$f (x) = \sqrt{x} - 1$ and $h (x) = x^{2} + 5$
28849	Simplify	( cube root of 625z)( cube root of 40z^6)	$(\sqrt[3]{625 z}) (\sqrt[3]{40 z^{6}})$
28850	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+x^2-13x-24 is divided by x-3	Use synthetic division to find the result when $2 x^{3} + x^{2} - 13 x - 24$ is divided by $x - 3$
28851	Simplify	(5/(3x))÷(2/(5x^3))	$\frac{5}{3 x} \div \frac{2}{5 x^{3}}$
28852	Simplify	3m^2-3/4(8m-12)+3m	$3 m^{2} - \frac{3}{4} (8 m - 12) + 3 m$
28853	Graph	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
28854	Evaluate	-11 2/3*(-4 1/5)	$- 11 \frac{2}{3} \times (- 4 \frac{1}{5})$
28855	Evaluate	((2^3)^10*2^-8)/(2^-7)	$\frac{{(2^{3})}^{10} \cdot 2^{- 8}}{2^{- 7}}$
28856	Evaluate the Limit	limit as x approaches -1 of (x^2+6x+5)/(x^2+x)	$lim_{x \to - 1} \frac{x^{2} + 6 x + 5}{x^{2} + x}$
28857	Simplify	1/2+1/3-1/4	$\frac{1}{2} + \frac{1}{3} - \frac{1}{4}$
28858	Evaluate the Function	f(8) = cube root of 8-9	$f (8) = \sqrt[3]{8 - 9}$
28859	Evaluate	1/e-1	$\frac{1}{e} - 1$
28860	Find the Derivative - d/dx	1/2cos(2x)	$\frac{1}{2} \cos (2 x)$
28861	Simplify	square root of 50+3 cube root of 16-5 cube root of 54	$\sqrt{50} + 3 \sqrt[3]{16} - 5 \sqrt[3]{54}$
28862	Solve for x	(3x+4)/(3x)-3=-4/3	$\frac{3 x + 4}{3 x} - 3 = \frac{- 4}{3}$
28863	Expand Using the Binomial Theorem	3(a-4b)^2	$3 {(a - 4 b)}^{2}$
28864	Graph	x+y=-6 y=x	$x + y = - 6$ $y = x$
28865	Solve the Inequality for x	10<-5(x-1)	$10 < - 5 (x - 1)$
28866	Identify the Sequence	2 , 4 , 8 ; dots	$2$ , $4$ , $8$ ; dots
28867	Find the Exact Value	arcsin(sec(0))	$\arcsin (\sec (0))$
28868	Find the Secant Given the Point	( square root of 5,2)	$(\sqrt{5}, 2)$
28869	Evaluate	-558sin(186)(0.002)sin(186)(0.002)+558cos(186)(0.002)cos(186)(0.002)	$- 558 \sin (186) (0.002) \sin (186) (0.002) + 558 \cos (186) (0.002) \cos (186) (0.002)$
28870	Solve for t	5t+3=4w(t+2)	$5 t + 3 = 4 w (t + 2)$
28871	Simplify	(x+2y-2z)-(2x-5y-6z)	$(x + 2 y - 2 z) - (2 x - 5 y - 6 z)$
28872	Find the Quadratic Equation Given the Roots	0 , -4 , square root of 3	$0$ , $- 4$ , $\sqrt{3}$
28873	Find the Reference Angle	cot(120 degrees )	$\cot (120 °)$
28874	Simplify the Matrix	cube root of 40 , cube root of 135	$\sqrt[3]{40}$ , $\sqrt[3]{135}$
28875	Find All Complex Solutions	(10x+25)/(3x+12)=(5x)/(x+4)	$\frac{10 x + 25}{3 x + 12} = \frac{5 x}{x + 4}$
28876	Evaluate	i^6i^25i^19*i^16	$i^{6} \cdot i^{25} \cdot i^{19} \cdot i^{16}$
28877	Multiply	(3 square root of x- square root of 2)^2	${(3 \sqrt{x} - \sqrt{2})}^{2}$
28878	Simplify	((4/3)^2x)^1	${({(\frac{4}{3})}^{2} x)}^{1}$
28879	Find the Derivative - d/dt	rt^(r-1)	$r t^{r - 1}$
28880	Find the GCF	30 and 42	$30$ and $42$
28881	Evaluate	(6x^3+29x^2+23x-34)(x+3)^-1	$(6 x^{3} + 29 x^{2} + 23 x - 34) {(x + 3)}^{- 1}$
28882	Combine Like Terms	-5y+3y^2+2y-2y^2-9	$- 5 y + 3 y^{2} + 2 y - 2 y^{2} - 9$
28883	Solve the Inequality for x	x-2<x+3	$x - 2 < x + 3$
28884	Solve by Substitution	x-2y=-1 3y=x+4	$x - 2 y = - 1$ $3 y = x + 4$
28885	Find the Parabola with Vertex (0,0) and Directrix y=-2	Vertex (0,0) ; directrix y=-2	Vertex $(0, 0)$ ; directrix $y = - 2$
28886	Simplify	6/(6k-9)-6/2	$\frac{6}{6 k - 9} - \frac{6}{2}$
28887	Solve for w	(7w-10)+4=0	$(7 w - 10) + 4 = 0$
28888	Solve for x	(x+1)/2+(x-4)/3=x/5	$\frac{x + 1}{2} + \frac{x - 4}{3} = \frac{x}{5}$
28889	Find the Derivative - d/dx	e^xsin(x)+e^xcos(x)	$e^{x} \sin (x) + e^{x} \cos (x)$
28890	Solve for x	x-4(2x-1)=-3(2x+1)-x	$x - 4 (2 x - 1) = - 3 (2 x + 1) - x$
28891	Solve the System of Equations	x+2y-z=6 x=6-2y+z x+2y=6+z	$x + 2 y - z = 6$ $x = 6 - 2 y + z$ $x + 2 y = 6 + z$
28892	Solve for h	1/2h-12=-5	$\frac{1}{2} h - 12 = - 5$
28893	Find the Integral	x^2dz	$x^{2} d z$
28894	Find the Range	x^2-4x-5=0	$x^{2} - 4 x - 5 = 0$
28895	Simplify	(a^2bc^2)(b^2c^3)(9a)	$(a^{2} b c^{2}) (b^{2} c^{3}) (9 a)$
28896	Find All Complex Solutions	3^(x+1)+3^(3-x)=30	$3^{x + 1} + 3^{3 - x} = 30$
28897	Divide Using Long Polynomial Division	(x^3+5x^2+5x-3)÷(x^2+3x-1)	$(x^{3} + 5 x^{2} + 5 x - 3) \div (x^{2} + 3 x - 1)$
28898	Add	find the sum of 6x^2+10x-1 and -5x^2-2x+1	find the sum of $6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
28899	Solve for x	2x+3(x-1)=6(x-1)-x	$2 x + 3 (x - 1) = 6 (x - 1) - x$
28900	Solve for X	4X=X+6	$4 X = X + 6$