Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219901	Simplify	m cube root of 192m^5	$m \sqrt[3]{192 m^{5}}$
219902	Evaluate Using the Given Value	Evaluate 7j+5-8k when j=0.5 and k=0.25	Evaluate $7 j + 5 - 8 k$ when $j = 0.5$ and $k = 0.25$
219903	Write in Standard Form	y=1+2x^6-4x^2-2x^6	$y = 1 + 2 x^{6} - 4 x^{2} - 2 x^{6}$
219904	Find the Exact Value	pi/2+pi/4	$\frac{π}{2} + \frac{π}{4}$
219905	Solve for h	A=1/2h(b_1+b_2) for h	$A = \frac{1}{2} h (b_{1} + b_{2})$ for $h$
219906	Write in Standard Form	(7-3i)+(x-2i)^2-(4i+2x^2)	$(7 - 3 i) + {(x - 2 i)}^{2} - (4 i + 2 x^{2})$
219907	Solve for y	y=5.45+1.05(x+7)	$y = 5.45 + 1.05 (x + 7)$
219908	Write in y=mx+b Form	(-8,8) and (1,-10)	$(- 8, 8)$ and $(1, - 10)$
219909	Find the GCF	(5x)/12	$\frac{5 x}{12}$
219910	Simplify	(x+3)/4+(x+2)/4	$\frac{x + 3}{4} + \frac{x + 2}{4}$
219911	Solve for x	x+3 = square root of -20+12x+3	$x + 3 = \sqrt{- 20 + 12 x} + 3$
219912	Write in Exponential Form	sixth root of 27^2	$\sqrt[6]{27^{2}}$
219913	Solve for x	x-2(x+1)+3(x+2)=x-4	$x - 2 (x + 1) + 3 (x + 2) = x - 4$
219914	Factor	16x^2y-4xy^2-5x^2y+10xy^2	$16 x^{2} y - 4 x y^{2} - 5 x^{2} y + 10 x y^{2}$
219915	Simplify	square root of cube root of 8r^3	$\sqrt{\sqrt[3]{8 r^{3}}}$
219916	Solve for t	E=-2.4t+75	$E = - 2.4 t + 75$
219917	Evaluate	40% of 90	$40 %$ of $90$
219918	Simplify	2yx^-1*(x^2)^3	$2 y x^{- 1} \cdot {(x^{2})}^{3}$
219919	Expand Using Pascal's Triangle	(2x+1/(x^3))^8	${(2 x + \frac{1}{x^{3}})}^{8}$
219920	Solve the Rational Equation for x	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
219921	Solve for b	cube root of b+5=4	$\sqrt[3]{b} + 5 = 4$
219922	Simplify the Radical Expression	2 square root of 3-8 square root of 6+5 square root of 3+4 square root of 6	$2 \sqrt{3} - 8 \sqrt{6} + 5 \sqrt{3} + 4 \sqrt{6}$
219923	Simplify	(6^0)/(6^4*6^6)	$\frac{6^{0}}{6^{4} \cdot 6^{6}}$
219924	Solve by Substitution	x+y=4 2x+2y=8	$x + y = 4$ $2 x + 2 y = 8$
219925	Simplify	(3 square root of 2+ square root of 5)( square root of 2-3 square root of 5r)	$(3 \sqrt{2} + \sqrt{5}) (\sqrt{2} - 3 \sqrt{5 r})$
219926	Find All Complex Solutions	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
219927	Simplify	(1/(2b))^0	${(\frac{1}{2 b})}^{0}$
219928	Simplify	( square root of 72)/( fourth root of 64)	$\frac{\sqrt{72}}{\sqrt[4]{64}}$
219929	Simplify	4^2*(cb^3)^0	$4^{2} \cdot {(c b^{3})}^{0}$
219930	Evaluate	7(-2)+3^2+(-2)^2	$7 (- 2) + 3^{2} + {(- 2)}^{2}$
219931	Write the Fraction in Simplest Form	((3d^-4n^5)^-3)/(12d^3n^4)	$\frac{{(3 d^{- 4} n^{5})}^{- 3}}{12 d^{3} n^{4}}$
219932	Solve for x	2^5*2^x=256	$2^{5} \cdot 2^{x} = 256$
219933	Solve the System of Inequalities	y>=0 y<=x-5	$y \geq 0$ $y \leq x - 5$
219934	Solve the Rational Equation for x	(x+10)^5=70	${(x + 10)}^{5} = 70$
219935	Find All Complex Solutions	\|x\|=-x	$\| x \| = - x$
219936	Solve the System of Equations	y=x^2+7x-13 6=x-y	$y = x^{2} + 7 x - 13$ $6 = x - y$
219937	Evaluate	(13-5)^2-3 square root of 4*2+1	${(13 - 5)}^{2} - 3 \sqrt{4 \cdot 2 + 1}$
219938	Solve for x	1/(x+2)+1/(x-2)=4/((x+2)(x-2))	$\frac{1}{x + 2} + \frac{1}{x - 2} = \frac{4}{(x + 2) (x - 2)}$
219939	Simplify	cube root of 64- square root of -16-5 square root of -9	$\sqrt[3]{64} - \sqrt{- 16} - 5 \sqrt{- 9}$
219940	Find the Holes in the Graph	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
219941	Find the Roots (Zeros)	y=5cos(x)	$y = 5 \cos (x)$
219942	Find the LCM	10 and 12	$10$ and $12$
219943	Simplify	(x^2-7x+12)/(x^2-8x+15)2/(x^2-49)(3x^2-36x+105)/(x-4)	$\frac{x^{2} - 7 x + 12}{x^{2} - 8 x + 15} \cdot \frac{2}{x^{2} - 49} \cdot \frac{3 x^{2} - 36 x + 105}{x - 4}$
219944	Solve the Inequality for x	2^(4x+1)<=512	$2^{4 x + 1} \leq 512$
219945	Solve the System of Equations	1/3x+y=1 2x+6y=6	$\frac{1}{3} x + y = 1$ $2 x + 6 y = 6$
219946	Find the LCM	15 and 25	$15$ and $25$
219947	Solve for x	9/8x+7/16x=50/16	$\frac{9}{8} x + \frac{7}{16} x = \frac{50}{16}$
219948	Write in Slope-Intercept Form	x-2y>8	$x - 2 y > 8$
219949	Simplify	Simplify sin(theta)^2+sin(theta)^2*tan(theta)^2	Simplify $\sin^{2} (θ) + \sin^{2} (θ) \cdot \tan^{2} (θ)$
219950	Evaluate	cot((286pi)/45)	$\cot (\frac{286 π}{45})$
219951	Graph	y^3-xy=2	$y^{3} - x y = 2$
219952	Solve for x	arctan(x/3)+arcsec((2 square root of 3)/3)=arccos(-1)	$\arctan (\frac{x}{3}) + arcsec (\frac{2 \sqrt{3}}{3}) = \arccos (- 1)$
219953	Subtract	(3x^3+3x^2+9)-(5x^3-7x^2+6x-9)	$(3 x^{3} + 3 x^{2} + 9) - (5 x^{3} - 7 x^{2} + 6 x - 9)$
219954	Find the Degree	-6q^2-10p^3q	$- 6 q^{2} - 10 p^{3} q$
219955	Solve for x	(3x+1)/(x+4)=(x-7)/(x+4)	$\frac{3 x + 1}{x + 4} = \frac{x - 7}{x + 4}$
219956	Solve the Inequality for y	193+y>=201	$193 + y \geq 201$
219957	Find the Product	square root of 3( square root of 5- square root of 3)	$\sqrt{3} (\sqrt{5} - \sqrt{3})$
219958	Write in Standard Form	(x^2-3x+4)-(3x+x^3-4)	$(x^{2} - 3 x + 4) - (3 x + x^{3} - 4)$
219959	Solve the System of Equations	x+2y+2z=4 x+4y-2z=-2 x+y+4z=2	$x + 2 y + 2 z = 4$ $x + 4 y - 2 z = - 2$ $x + y + 4 z = 2$
219960	Simplify	(x-5)/(x^2+25)-3x	$\frac{x - 5}{x^{2} + 25} - 3 x$
219961	Multiply	(x+5)/(9x+27)*(x^2-9)/(x^2+2x-15)	$\frac{x + 5}{9 x + 27} \cdot \frac{x^{2} - 9}{x^{2} + 2 x - 15}$
219962	Find the Degree, Leading Term, and Leading Coefficient	W(t)=-x(x-3)	$W (t) = - x (x - 3)$
219963	Simplify the Radical Expression	- cube root of (z^21)/(27x^3)	$- \sqrt[3]{\frac{z^{21}}{27 x^{3}}}$
219964	Evaluate	a^(2/5)*a^-3	$a^{\frac{2}{5}} \cdot a^{- 3}$
219965	Combine Like Terms	(4+2n^3)+(5n^3+2)	$(4 + 2 n^{3}) + (5 n^{3} + 2)$
219966	Simplify	5-(x+2)÷((x^2-4)/(x-3))	$5 - (x + 2) \div (\frac{x^{2} - 4}{x - 3})$
219967	Solve the System of Equations	5x-2y=3 and 4x+4y=8	$5 x - 2 y = 3$ and $4 x + 4 y = 8$
219968	Simplify	(5/4)^(1/6)	${(\frac{5}{4})}^{\frac{1}{6}}$
219969	Find the Equation Given the Roots	3i and square root of 6	$3 i$ and $\sqrt{6}$
219970	Graph	P(x)=x(x-1)^2(x+2)^3(x+3)	$P (x) = x {(x - 1)}^{2} {(x + 2)}^{3} (x + 3)$
219971	Simplify	5 4/7i+4 3/5i	$5 \frac{4}{7} i + 4 \frac{3}{5} i$
219972	Simplify	(x-2)(x-1)(x-1)(3x-2)	$(x - 2) (x - 1) (x - 1) (3 x - 2)$
219973	Solve the Inequality for n	-3\|n-5\|-11<-38	$- 3 \| n - 5 \| - 11 < - 38$
219974	Simplify	(m^2)^(5/6)*m^(1/3)	${(m^{2})}^{\frac{5}{6}} \cdot m^{\frac{1}{3}}$
219975	Find the Domain and Range	y=3sin(pi/4x-pi/4)	$y = 3 \sin (\frac{π}{4} x - \frac{π}{4})$
219976	Solve for q	7^q=15	$7^{q} = 15$
219977	Find the Product	(x+y^2)(x-y^2)	$(x + y^{2}) (x - y^{2})$
219978	Find the x and y Intercepts	f(x) = square root of -x+2	$f (x) = \sqrt{- x} + 2$
219979	Solve for y	0.5y-2 2/5=1/2y+2.4	$0.5 y - 2 \frac{2}{5} = \frac{1}{2} y + 2.4$
219980	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-19x^2-12x-14 is divided by x-7	Use synthetic division to find the result when $3 x^{3} - 19 x^{2} - 12 x - 14$ is divided by $x - 7$
219981	Solve for x	8/3x+(x-6)/3=2	$\frac{8}{3} x + \frac{x - 6}{3} = 2$
219982	Multiply	x^3+2x-1*x^4-x^3+3	$x^{3} + 2 x - 1 \cdot x^{4} - x^{3} + 3$
219983	Simplify	p^2q^3(p^5q^2-pq)	$p^{2} q^{3} (p^{5} q^{2} - p q)$
219984	Graph	Graph the line with the equation y=2/3x+1	Graph the line with the equation $y = \frac{2}{3} x + 1$
219985	Simplify	square root of 5+ square root of 3-4 square root of 5- square root of 3	$\sqrt{5} + \sqrt{3} - 4 \sqrt{5} - \sqrt{3}$
219986	Divide Using Synthetic Division	(4x^3-23x-21)÷(2x+3)	$(4 x^{3} - 23 x - 21) \div (2 x + 3)$
219987	Solve for b	b^2=-3b	$b^{2} = - 3 b$
219988	Solve for x	2/3(9+x)=-5(4-x)	$\frac{2}{3} (9 + x) = - 5 (4 - x)$
219989	Solve for y	10^y=1	$10^{y} = 1$
219990	Find the Product	square root of 2( square root of 6+ square root of 7)	$\sqrt{2} (\sqrt{6} + \sqrt{7})$
219991	Solve for x	2*4^(x-3)=16	$2 \cdot 4^{x - 3} = 16$
219992	Simplify the Radical Expression	(7 square root of 21)/( square root of 7)	$\frac{7 \sqrt{21}}{\sqrt{7}}$
219993	Solve for x	x^12*x^n=x^12	$x^{12} \cdot x^{n} = x^{12}$
219994	Simplify	3x square root of 54x^4y^7z^10	$3 x \sqrt{54 x^{4} y^{7} z^{10}}$
219995	Evaluate	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
219996	Solve the Rational Equation for x	square root of x-5 = square root of x+4	$\sqrt{x} - 5 = \sqrt{x + 4}$
219997	Solve for x	3 log of x- log of 6+ log of 2.4=9	$3 \log (x) - \log (6) + \log (2.4) = 9$
219998	Find the Exact Value	2!	$2!$
219999	Simplify	(csc(x)^2-1)(sec(x)^2-1)	$(\csc^{2} (x) - 1) (\sec^{2} (x) - 1)$
220000	Find the Degree	arccos(4/5)	$\arccos (\frac{4}{5})$