Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222801	Solve for x	40/(3x^(1/3))-(5x^(2/3))/3=0	$\frac{40}{3 x^{\frac{1}{3}}} - \frac{5 x^{\frac{2}{3}}}{3} = 0$
222802	Solve for x	x/2+x=9/4	$\frac{x}{2} + x = \frac{9}{4}$
222803	Convert to Interval Notation	x^2<2x+8	$x^{2} < 2 x + 8$
222804	Solve for d	3\|d-4\|>=12	$3 \| d - 4 \| \geq 12$
222805	Find the Intersection	y>=4x-5	$y \geq 4 x - 5$
222806	Find the x and y Intercepts	f(x)=3(x^2+16)(x-6)(x-6)(3x+2)	$f (x) = 3 (x^{2} + 16) (x - 6) (x - 6) (3 x + 2)$
222807	Solve for d	d+10 3/4=-56 1/2	$d + 10 \frac{3}{4} = - 56 \frac{1}{2}$
222808	Simplify	(i^5i^2i^8)^0	${(i^{5} \cdot i^{2} \cdot i^{8})}^{0}$
222809	Solve the Inequality for x	-5\|x-4\|>-20	$- 5 \| x - 4 \| > - 20$
222810	Solve the Inequality for x	-6x^2+9x<=-2x-2	$- 6 x^{2} + 9 x \leq - 2 x - 2$
222811	Evaluate	(15a^0b^2c^34)(3a^16b^-29c^0)	$(15 a^{0} b^{2} c^{34}) (3 a^{16} b^{- 29} c^{0})$
222812	Solve for x	(x-1)^(-4/3)=1/81	${(x - 1)}^{- \frac{4}{3}} = \frac{1}{81}$
222813	Evaluate Using the Given Value	p^2q^2+pq-q^3-p^3 for p=0.5 and q=-0.5	$p^{2} q^{2} + p q - q^{3} - p^{3}$ for $p = 0.5$ and $q = - 0.5$
222814	Simplify	( cube root of 2v^5)( cube root of 18v^6)	$(\sqrt[3]{2 v^{5}}) (\sqrt[3]{18 v^{6}})$
222815	Rationalize the Denominator	5/(-4- square root of 6)	$\frac{5}{- 4 - \sqrt{6}}$
222816	Write the Fraction in Simplest Form	(-6)^-1	${(- 6)}^{- 1}$
222817	Subtract	1/(x-1)-7/(x^2+5x-6)	$\frac{1}{x - 1} - \frac{7}{x^{2} + 5 x - 6}$
222818	Simplify	square root of 24* square root of 80/192	$\sqrt{24} \cdot \sqrt{\frac{80}{192}}$
222819	Simplify the Radical Expression	fourth root of 2* sixth root of 2^5	$\sqrt[4]{2} \cdot \sqrt[6]{2^{5}}$
222820	Write with Rational (Fractional) Exponents	( square root of x^12)/( square root of x^5)	$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$
222821	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 $4 x + 1$
222822	Evaluate	((8x^11y^-3)/(4x^5y^-7))^0	${(\frac{8 x^{11} y^{- 3}}{4 x^{5} y^{- 7}})}^{0}$
222823	Simplify	-i^6i^3i^5	$- i^{6} \cdot i^{3} \cdot i^{5}$
222824	Evaluate	-7 5/6+(-7 1/4)	$- 7 \frac{5}{6} + (- 7 \frac{1}{4})$
222825	Solve for w	1/6w+1/8=1/3	$\frac{1}{6} w + \frac{1}{8} = \frac{1}{3}$
222826	Evaluate	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
222827	Simplify	(5x+10)/(4x-8)*(4-2x)/(x+2)	$\frac{5 x + 10}{4 x - 8} \cdot \frac{4 - 2 x}{x + 2}$
222828	Multiply	33/10*14/22	$\frac{33}{10} \cdot \frac{14}{22}$
222829	Simplify	((x+2)^5-32)/x	$\frac{{(x + 2)}^{5} - 32}{x}$
222830	Simplify/Condense	1/2 log base 3 of x-2 log base 3 of y+4 log base 3 of z	$\frac{1}{2} \log_{3} (x) - 2 \log_{3} (y) + 4 \log_{3} (z)$
222831	Solve by Substitution	-5x+y=-2 and -3x+6y=-12	$- 5 x + y = - 2$ and $- 3 x + 6 y = - 12$
222832	Factor	sec(x)^2-sec(x)-2	$\sec^{2} (x) - \sec (x) - 2$
222833	Solve for x	2^(-3x)*2^(2x)=2^(2x)	$2^{- 3 x} \cdot 2^{2 x} = 2^{2 x}$
222834	Subtract	(2x^2)/7-(8x^5+5x^2y^2)/(x^3+4y^2)	$\frac{2 x^{2}}{7} - \frac{8 x^{5} + 5 x^{2} y^{2}}{x^{3} + 4 y^{2}}$
222835	Find the Excluded Values	(x+2)/(x^2-2x-15)+x/(x+3)	$\frac{x + 2}{x^{2} - 2 x - 15} + \frac{x}{x + 3}$
222836	Factor by Grouping	2ab-3b^2	$2 a b - 3 b^{2}$
222837	Write in Standard Form	(12+8x^3+3x-4x^2)+(5x^3+15-x+2x^2)	$(12 + 8 x^{3} + 3 x - 4 x^{2}) + (5 x^{3} + 15 - x + 2 x^{2})$
222838	Simplify	( fourth root of x* fourth root of 81x)/( fourth root of 16x^36)	$\frac{\sqrt[4]{x} \cdot \sqrt[4]{81 x}}{\sqrt[4]{16 x^{36}}}$
222839	Simplify the Radical Expression	-x square root of 200x^2-9 square root of 2x^4	$- x \sqrt{200 x^{2}} - 9 \sqrt{2 x^{4}}$
222840	Simplify	12g+6f-2f-5g-4f	$12 g + 6 f - 2 f - 5 g - 4 f$
222841	Find the Exact Value	tan(13 degrees )-(sin(13 degrees ))/(cos(13 degrees ))	$\tan (13 °) - \frac{\sin (13 °)}{\cos (13 °)}$
222842	Factor	7x^(5/3)+49x^(2/3)	$7 x^{\frac{5}{3}} + 49 x^{\frac{2}{3}}$
222843	Solve the Rational Equation for x	9+3/(x+3)=-x/(x+3)	$9 + \frac{3}{x + 3} = - \frac{x}{x + 3}$
222844	Simplify	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
222845	Find the Holes in the Graph	f(x)=(2x^2-2x-24)/(x^2+3x)	$f (x) = \frac{2 x^{2} - 2 x - 24}{x^{2} + 3 x}$
222846	Solve for r	v=1/3hpir^2	$v = \frac{1}{3} h π r^{2}$
222847	Solve the Rational Equation for x	3^(x+1)+3^x=12	$3^{x + 1} + 3^{x} = 12$
222848	Simplify the Radical Expression	15 root of x^10b^15	$\sqrt[15]{x^{10} b^{15}}$
222849	Simplify	square root of -6* square root of -2* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 2} \cdot \sqrt{- 5}$
222850	Convert to Interval Notation	10-4\|9y-10\|<-94	$10 - 4 \| 9 y - 10 \| < - 94$
222851	Solve for a	(ma)/(th)=i+love	$\frac{m a}{t h} = i + l o v e$
222852	Factor	x^2-z^2+y^2-2xy	$x^{2} - z^{2} + y^{2} - 2 x y$
222853	Find f(h(x))	f(x) = square root of x-1 and h(x)=x^2+5	$f (x) = \sqrt{x} - 1$ and $h (x) = x^{2} + 5$
222854	Simplify	( cube root of 625z)( cube root of 40z^6)	$(\sqrt[3]{625 z}) (\sqrt[3]{40 z^{6}})$
222855	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 $x - 3$
222856	Simplify	(5/(3x))÷(2/(5x^3))	$\frac{5}{3 x} \div \frac{2}{5 x^{3}}$
222857	Simplify	3m^2-3/4(8m-12)+3m	$3 m^{2} - \frac{3}{4} (8 m - 12) + 3 m$
222858	Graph	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
222859	Evaluate	-11 2/3*(-4 1/5)	$- 11 \frac{2}{3} \times (- 4 \frac{1}{5})$
222860	Evaluate	((2^3)^10*2^-8)/(2^-7)	$\frac{{(2^{3})}^{10} \cdot 2^{- 8}}{2^{- 7}}$
222861	Simplify	1/2+1/3-1/4	$\frac{1}{2} + \frac{1}{3} - \frac{1}{4}$
222862	Evaluate the Function	f(8) = cube root of 8-9	$f (8) = \sqrt[3]{8 - 9}$
222863	Evaluate	1/e-1	$\frac{1}{e} - 1$
222864	Simplify	square root of 50+3 cube root of 16-5 cube root of 54	$\sqrt{50} + 3 \sqrt[3]{16} - 5 \sqrt[3]{54}$
222865	Solve for x	(3x+4)/(3x)-3=-4/3	$\frac{3 x + 4}{3 x} - 3 = \frac{- 4}{3}$
222866	Expand Using the Binomial Theorem	3(a-4b)^2	$3 {(a - 4 b)}^{2}$
222867	Graph	x+y=-6 y=x	$x + y = - 6$ $y = x$
222868	Solve the Inequality for x	10<-5(x-1)	$10 < - 5 (x - 1)$
222869	Identify the Sequence	2 , 4 , 8 ; dots	$2$ , $4$ , $8$ ; dots
222870	Find the Exact Value	arcsin(sec(0))	$\arcsin (\sec (0))$
222871	Evaluate	-558sin(186)(0.002)sin(186)(0.002)+558cos(186)(0.002)cos(186)(0.002)	$- 558 \sin (186) (0.002) \sin (186) (0.002) + 558 \cos (186) (0.002) \cos (186) (0.002)$
222872	Solve for t	5t+3=4w(t+2)	$5 t + 3 = 4 w (t + 2)$
222873	Simplify	(x+2y-2z)-(2x-5y-6z)	$(x + 2 y - 2 z) - (2 x - 5 y - 6 z)$
222874	Find the Quadratic Equation Given the Roots	0 , -4 , square root of 3	$0$ , $- 4$ , $\sqrt{3}$
222875	Find All Complex Solutions	(10x+25)/(3x+12)=(5x)/(x+4)	$\frac{10 x + 25}{3 x + 12} = \frac{5 x}{x + 4}$
222876	Evaluate	i^6i^25i^19*i^16	$i^{6} \cdot i^{25} \cdot i^{19} \cdot i^{16}$
222877	Multiply	(3 square root of x- square root of 2)^2	${(3 \sqrt{x} - \sqrt{2})}^{2}$
222878	Simplify	((4/3)^2x)^1	${({(\frac{4}{3})}^{2} x)}^{1}$
222879	Evaluate	(6x^3+29x^2+23x-34)(x+3)^-1	$(6 x^{3} + 29 x^{2} + 23 x - 34) {(x + 3)}^{- 1}$
222880	Combine Like Terms	-5y+3y^2+2y-2y^2-9	$- 5 y + 3 y^{2} + 2 y - 2 y^{2} - 9$
222881	Solve the Inequality for x	x-2<x+3	$x - 2 < x + 3$
222882	Solve by Substitution	x-2y=-1 3y=x+4	$x - 2 y = - 1$ $3 y = x + 4$
222883	Find the Parabola with Vertex (0,0) and Directrix y=-2	Vertex (0,0) ; directrix y=-2	Vertex $(0, 0)$ ; directrix $y = - 2$
222884	Simplify	6/(6k-9)-6/2	$\frac{6}{6 k - 9} - \frac{6}{2}$
222885	Solve for w	(7w-10)+4=0	$(7 w - 10) + 4 = 0$
222886	Solve for x	(x+1)/2+(x-4)/3=x/5	$\frac{x + 1}{2} + \frac{x - 4}{3} = \frac{x}{5}$
222887	Solve for x	x-4(2x-1)=-3(2x+1)-x	$x - 4 (2 x - 1) = - 3 (2 x + 1) - x$
222888	Solve the System of Equations	x+2y-z=6 x=6-2y+z x+2y=6+z	$x + 2 y - z = 6$ $x = 6 - 2 y + z$ $x + 2 y = 6 + z$
222889	Solve for h	1/2h-12=-5	$\frac{1}{2} h - 12 = - 5$
222890	Simplify	(a^2bc^2)(b^2c^3)(9a)	$(a^{2} b c^{2}) (b^{2} c^{3}) (9 a)$
222891	Find All Complex Solutions	3^(x+1)+3^(3-x)=30	$3^{x + 1} + 3^{3 - x} = 30$
222892	Divide Using Long Polynomial Division	(x^3+5x^2+5x-3)÷(x^2+3x-1)	$(x^{3} + 5 x^{2} + 5 x - 3) \div (x^{2} + 3 x - 1)$
222893	Solve for x	2x+3(x-1)=6(x-1)-x	$2 x + 3 (x - 1) = 6 (x - 1) - x$
222894	Solve for X	4X=X+6	$4 X = X + 6$
222895	Solve the System of Equations	-m+n=9 m+n=5	$- m + n = 9$ $m + n = 5$
222896	Evaluate	((7-2)*180)/7	$\frac{(7 - 2) \cdot 180}{7}$
222897	Find the LCD	7/(8x) and 2/(7x+3)	$\frac{7}{8 x}$ and $\frac{2}{7 x + 3}$
222898	Simplify	(3x^2y^-3)^2*(x^2y^4)^(1/2)	${(3 x^{2} y^{- 3})}^{2} \cdot {(x^{2} y^{4})}^{\frac{1}{2}}$
222899	Write Using Positive Exponents	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
222900	Evaluate	1/2(3)(4)^2	$\frac{1}{2} (3) {(4)}^{2}$