Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233801	Simplify	((x^3+10x^2+25x)/(x^2+5x)*(x^2-64)/(x^2+13x+40))÷((x^2-x-56)/(x+7))	$\frac{x^{3} + 10 x^{2} + 25 x}{x^{2} + 5 x} \cdot \frac{x^{2} - 64}{x^{2} + 13 x + 40} \div \frac{x^{2} - x - 56}{x + 7}$
233802	Find the Product	2/(x+1)*5/(3x)	$\frac{2}{x + 1} \cdot \frac{5}{3 x}$
233803	Find the Complex Conjugate	-5/6-1/6i	$- \frac{5}{6} - \frac{1}{6} i$
233804	Multiply	cube root of -4* cube root of -54	$\sqrt[3]{- 4} \cdot \sqrt[3]{- 54}$
233805	Write in Standard Form	112a^3b^2	$112 a^{3} b^{2}$
233806	Simplify	3/4(z+2/5)+2z	$\frac{3}{4} (z + \frac{2}{5}) + 2 z$
233807	Simplify	6 square root of 8c^3d^5*4 square root of 2cd^3	$6 \sqrt{8 c^{3} d^{5}} \times 4 \sqrt{2 c d^{3}}$
233808	Simplify	(12 square root of 3)/(24 square root of 3)	$\frac{12 \sqrt{3}}{24 \sqrt{3}}$
233809	Subtract	10/(pr)-4/r	$\frac{10}{p r} - \frac{4}{r}$
233810	Simplify	2 1/4x+(4 1/3x-7 4/5)÷2 3/5	$2 \frac{1}{4} x + (4 \frac{1}{3} x - 7 \frac{4}{5}) \div 2 \frac{3}{5}$
233811	Multiply	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
233812	Solve for r	2r^2+7r-1=-3r^2	$2 r^{2} + 7 r - 1 = - 3 r^{2}$
233813	Find the Exact Value	27^(-2/3)	$27^{\frac{- 2}{3}}$
233814	Simplify the Radical Expression	- square root of 6x^2+8x square root of 96	$- \sqrt{6 x^{2}} + 8 x \sqrt{96}$
233815	Convert to Radical Form	4K1/2	$4 K \frac{1}{2}$
233816	Find the Equation Using Point-Slope Formula	through: (2,-4) , slope=-1	through: $(2, - 4)$ , $s l o p e = - 1$
233817	Find All Complex Solutions	csc(theta) = square root of 2	$\csc (θ) = \sqrt{2}$
233818	Multiply	-x^2*-1	$- x^{2} \cdot - 1$
233819	Evaluate	i^8i^31i^28	$i^{8} \cdot i^{31} \cdot i^{28}$
233820	Solve the System of Equations	y=x^2-10x+12 2x+y=5	$y = x^{2} - 10 x + 12$ $2 x + y = 5$
233821	Simplify	(-1x^5y^3)^2	${(- 1 x^{5} y^{3})}^{2}$
233822	Evaluate	(1-5(a-1))/24	$\frac{1 - 5 (a - 1)}{24}$
233823	Solve for x	(3x+26)=(x+20)	$(3 x + 26) = (x + 20)$
233824	Simplify	(x-y)/x*(2x^2)/(y(y-x))	$\frac{x - y}{x} \cdot \frac{2 x^{2}}{y (y - x)}$
233825	Solve the Inequality for x	square root of 2x+4+1>=5	$\sqrt{2 x + 4} + 1 \geq 5$
233826	Simplify	(6^2p^4r^6)/(2^4(p^2r)^2)	$\frac{6^{2} p^{4} r^{6}}{2^{4} {(p^{2} r)}^{2}}$
233827	Simplify	1/( cube root of 27^4)	$\frac{1}{\sqrt[3]{27^{4}}}$
233828	Evaluate	square root of 36xy^11	$\sqrt{36 x y^{11}}$
233829	Solve for d	(1/3)^(d-5)=81	${(\frac{1}{3})}^{d - 5} = 81$
233830	Simplify	\|7-9\|+(7-9)^2	$\| 7 - 9 \| + {(7 - 9)}^{2}$
233831	Convert to a Decimal	255*10^-4	$255 \cdot 10^{- 4}$
233832	Graph	Graph the line x=2	Graph the line $x = 2$
233833	Simplify	(2x+3y)/(9x)+(6x-11y)/(9x)-(19y-x)/(9x)	$\frac{(2 x + 3 y)}{9 x} + \frac{(6 x - 11 y)}{9 x} - \frac{(19 y - x)}{9 x}$
233834	Solve for x	3x(x+2)=3	$3 x (x + 2) = 3$
233835	Solve the Inequality for v	16-7v<2	$16 - 7 v < 2$
233836	Multiply	-4*(3/-4)	$- 4 \cdot (\frac{3}{- 4})$
233837	Solve for x	x^2+11x+11=4x	$x^{2} + 11 x + 11 = 4 x$
233838	Solve the Inequality for x	(x-1)/x>0	$\frac{x - 1}{x} > 0$
233839	Simplify	((x^2+4x-12)/(x^2-25))÷((x+6)/(x^2-5x))	$\frac{x^{2} + 4 x - 12}{x^{2} - 25} \div \frac{x + 6}{x^{2} - 5 x}$
233840	Solve for x	z=y-x-m	$z = y - x - m$
233841	Find the Exact Value	1/(3^-2)	$\frac{1}{3^{- 2}}$
233842	Simplify	((i+1)^2)/(3-i)	$\frac{{(i + 1)}^{2}}{3 - i}$
233843	Find the x and y Intercepts	P(x)=(x-5)(x-3)(x+2)	$P (x) = (x - 5) (x - 3) (x + 2)$
233844	Solve for V	r=((3V)/(4pi))^(1/3)	$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$
233845	Divide	(-6/5)÷(4/7)	$- \frac{6}{5} \div \frac{4}{7}$
233846	Multiply	6/5*(-2/3)	$\frac{6}{5} \cdot (- \frac{2}{3})$
233847	Solve for z	2(z+5)+5(z+2)=10(z-1)	$2 (z + 5) + 5 (z + 2) = 10 (z - 1)$
233848	Divide	(-3/20)÷(21/16)	$- \frac{3}{20} \div \frac{21}{16}$
233849	Evaluate	-2/((1)^2)	$- \frac{2}{{(1)}^{2}}$
233850	Solve for x	8x-6=4x+8x+12	$8 x - 6 = 4 x + 8 x + 12$
233851	Solve by Substitution	11x-y=3 y=11x	$11 x - y = 3$ $y = 11 x$
233852	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,6) and has a slope of -5/4 ?	What is the equation of the line that passes through the point $(- 4, 6)$ and has a slope of $- \frac{5}{4}$ ?
233853	Identify the Sequence	3 , 2 , 4/3	$3$ , $2$ , $\frac{4}{3}$
233854	Simplify	(x^2-3x-10)-(x-5)	$(x^{2} - 3 x - 10) - (x - 5)$
233855	Convert to Radical Form	(-32)^0.4	${(- 32)}^{0.4}$
233856	Solve for k	3+5x = square root of k+6x	$3 + 5 x = \sqrt{k + 6 x}$
233857	Graph	f(x)=cot(1/2x-pi)	$f (x) = \cot (\frac{1}{2} x - π)$
233858	Evaluate	(36k^4m^10)1/2	$(36 k^{4} m^{10}) \frac{1}{2}$
233859	Simplify the Radical Expression	square root of 28+ square root of 63	$\sqrt{28} + \sqrt{63}$
233860	Simplify	cot(60 degrees )	$\cot (60 °)$
233861	Simplify	i^52-i^48	$i^{52} - i^{48}$
233862	Expand the Logarithmic Expression	log of (a^6)/( square root of b^3c^3)	$\log (\frac{a^{6}}{\sqrt{b^{3} c^{3}}})$
233863	Simplify	(18-6 cube root of 3)/( cube root of 9)	$\frac{18 - 6 \sqrt[3]{3}}{\sqrt[3]{9}}$
233864	Evaluate	f(-1)f(-2)	$f (- 1) f (- 2)$
233865	Divide Using Long Polynomial Division	2x^3+9x^2+15x+9 divided by 2x+3	$2 x^{3} + 9 x^{2} + 15 x + 9$ divided by $2 x + 3$
233866	Find the Inverse	f(x)=((x^7+10)^(1/5))/9	$f (x) = \frac{{(x^{7} + 10)}^{\frac{1}{5}}}{9}$
233867	Graph	-8>=-5x+7>=-33	$- 8 \geq - 5 x + 7 \geq - 33$
233868	Solve for x	5x-9-2=-5(2-x)-1	$5 x - 9 - 2 = - 5 (2 - x) - 1$
233869	Find the Inverse	8(x+9)^(1/7)	$8 {(x + 9)}^{\frac{1}{7}}$
233870	Solve for m	m^2=2m	$m^{2} = 2 m$
233871	Simplify	6x-3x+3-3x	$6 x - 3 x + 3 - 3 x$
233872	Write in y=mx+b Form	6x+y=4x+11y	$6 x + y = 4 x + 11 y$
233873	Evaluate	(2^4)/((2^-6)^-1)	$\frac{2^{4}}{{(2^{- 6})}^{- 1}}$
233874	Solve for u	-83=2u+3u-18	$- 83 = 2 u + 3 u - 18$
233875	Simplify	(4x^(-1/2)y^(7/4))/( fourth root of 16x^3y^5)	$\frac{4 x^{- \frac{1}{2}} y^{\frac{7}{4}}}{\sqrt[4]{16 x^{3} y^{5}}}$
233876	Evaluate	3(-4)^-1	$3 {(- 4)}^{- 1}$
233877	Simplify	(4x+8)*(x+3)	$(4 x + 8) \cdot (x + 3)$
233878	Simplify the Radical Expression	square root of 4+ square root of -36- square root of 49+ square root of -49	$\sqrt{4} + \sqrt{- 36} - \sqrt{49} + \sqrt{- 49}$
233879	Graph	y=\|x\| and y=\|x-3\|	$y = \| x \|$ and $y = \| x - 3 \|$
233880	Simplify the Radical Expression	cube root of square root of x^3	$\sqrt[3]{\sqrt{x^{3}}}$
233881	Factor by Grouping	x^4+2x^2-63	$x^{4} + 2 x^{2} - 63$
233882	Solve the Rational Equation for a	( fifth root of x^3)/((x^3)^(1/5))=x^a	$\frac{\sqrt[5]{x^{3}}}{{(x^{3})}^{\frac{1}{5}}} = x^{a}$
233883	Simplify	2 square root of 3 square root of 2	$2 \sqrt{3} \sqrt{2}$
233884	Solve for x	\|(3-7x)/9\|>=3/5	$\| \frac{3 - 7 x}{9} \| \geq \frac{3}{5}$
233885	Evaluate	square root of 3-( square root of 3)/2	$\sqrt{3} - \frac{\sqrt{3}}{2}$
233886	Simplify	square root of 27x^3y+x square root of 48xy	$\sqrt{27 x^{3} y} + x \sqrt{48 x y}$
233887	Graph	f(x)=x(x+4)(x+1)(x-3)	$f (x) = x (x + 4) (x + 1) (x - 3)$
233888	Simplify	-6*(x+8)/x	$- 6 \cdot \frac{x + 8}{x}$
233889	Solve for v	38=-6v-7v-27	$38 = - 6 v - 7 v - 27$
233890	Find All Complex Solutions	4p^2=12p-5	$4 p^{2} = 12 p - 5$
233891	Simplify	(3x^2+11x+4)+(-5x+x^2-13)	$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$
233892	Solve the Inequality for a	4a+3b<12	$4 a + 3 b < 12$
233893	Graph	x<-1 or x>3	$x < - 1$ or $x > 3$
233894	Factor	y=x^3+6x^2-16x	$y = x^{3} + 6 x^{2} - 16 x$
233895	Find the Inverse	y=(2^x-3)^(1/4)	$y = {(2^{x} - 3)}^{\frac{1}{4}}$
233896	Simplify	(2x^3)/(x^5y^4)	$\frac{2 x^{3}}{x^{5} y^{4}}$
233897	Graph	x^2=8/x	$x^{2} = \frac{8}{x}$
233898	Solve for t	t-2/7=1/2	$t - \frac{2}{7} = \frac{1}{2}$
233899	Graph	x^2-1>=0	$x^{2} - 1 \geq 0$
233900	Subtract	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$