Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221801	Factor	1/(8x^6)+(y^3)/216	$\frac{1}{8 x^{6}} + \frac{y^{3}}{216}$
221802	Solve for x	2020/2021(2x-3)-2019/2020(2x-3)=0	$\frac{2020}{2021} (2 x - 3) - \frac{2019}{2020} (2 x - 3) = 0$
221803	Graph	y=3/4x^(1/3)-1	$y = \frac{3}{4} x^{\frac{1}{3}} - 1$
221804	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+16x^2+20x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 16 x^{2} + 20 x + 7$ is divided by $2 x + 1$
221805	Simplify	(m^(3/2)n^(-1/4))/(m^(3/4)n^(3/4))	$\frac{m^{\frac{3}{2}} n^{\frac{- 1}{4}}}{m^{\frac{3}{4}} n^{\frac{3}{4}}}$
221806	Solve for x	9/5x+32=y	$\frac{9}{5} x + 32 = y$
221807	Write as a Single Logarithm	2* log of 6-1/4* log of 16+ log of 3	$2 \cdot \log (6) - \frac{1}{4} \cdot \log (16) + \log (3)$
221808	Solve the System of Equations	y=x^2 y=x+2	$y = x^{2}$ $y = x + 2$
221809	Subtract	4a-3b+2c and -6a+4b-2c-2	$4 a - 3 b + 2 c$ and $- 6 a + 4 b - 2 c - 2$
221810	Graph Using a Table of Values	f(x)=(1/4)^(x-6)-1	$f (x) = {(\frac{1}{4})}^{x - 6} - 1$
221811	Multiply	2xy(x^3-3y^2)	$2 x y (x^{3} - 3 y^{2})$
221812	Write in Standard Form	x^2-5+2x+x^2	$x^{2} - 5 + 2 x + x^{2}$
221813	Solve for b	cube root of b=-2	$\sqrt[3]{b} = - 2$
221814	Divide	(7p^2q^2)/(14p^2q^2)	$\frac{7 p^{2} q^{2}}{14 p^{2} q^{2}}$
221815	Describe the Transformation	F(x) = square root of x+1	$F (x) = \sqrt{x} + 1$
221816	Simplify	(2/(5m^5))^-4	${(\frac{2}{5 m^{5}})}^{- 4}$
221817	Divide	(-5 square root of 20)÷( square root of 2)	$- 5 \sqrt{20} \div \sqrt{2}$
221818	Solve the Inequality for f	8-4/5f>-14-2f	$8 - \frac{4}{5} f > - 14 - 2 f$
221819	Find the Reciprocal	( square root of 3)/2+( square root of 3)/2i	$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2} i$
221820	Simplify	(2 square root of 5)/( square root of 12)	$\frac{2 \sqrt{5}}{\sqrt{12}}$
221821	Simplify	square root of 25- square root of 40	$\sqrt{25} - \sqrt{40}$
221822	Expand the Logarithmic Expression	( log of 5x^3)/(2xy^3)	$\frac{\log (5 x^{3})}{2 x y^{3}}$
221823	Find the Domain and Range	Y=\|-2x+3\|	$Y = \| - 2 x + 3 \|$
221824	Solve for x	16x^4-81=0	$16 x^{4} - 81 = 0$
221825	Find the Excluded Values	(27a^3-1)/(9a^2-6a+1)	$\frac{27 a^{3} - 1}{9 a^{2} - 6 a + 1}$
221826	Simplify	square root of 3-( square root of 3)/3	$\sqrt{3} - \frac{\sqrt{3}}{3}$
221827	Simplify	(a^2+6a)/(ac+6c)	$\frac{a^{2} + 6 a}{a c + 6 c}$
221828	Subtract	(a+1)/(2a)+3/(a^2)	$\frac{a + 1}{2 a} + \frac{3}{a^{2}}$
221829	Solve the System of Equations	4y+5z=-3 y=-x+2 4x-3z=5	$4 y + 5 z = - 3$ $y = - x + 2$ $4 x - 3 z = 5$
221830	Simplify the Radical Expression	( square root of a^3)( square root of a^5)	$(\sqrt{a^{3}}) (\sqrt{a^{5}})$
221831	Solve for x	5x=3*(x+4)	$5 x = 3 \cdot (x + 4)$
221832	Solve for k	l=(k+1)/k-(m+1)/m	$l = \frac{k + 1}{k} - \frac{m + 1}{m}$
221833	Write in Standard Form	x^2+x^3	$x^{2} + x^{3}$
221834	Simplify	6k square root of 12k	$6 k \sqrt{12 k}$
221835	Find the Exact Value	pi/4+pi/4	$\frac{π}{4} + \frac{π}{4}$
221836	Evaluate	1/( square root of 1-(4/5)^2)	$\frac{1}{\sqrt{1 - {(\frac{4}{5})}^{2}}}$
221837	Solve for x	square root of 5+x+10=6	$\sqrt{5 + x} + 10 = 6$
221838	Solve for n	(n^2+7n+6)/(n^2)=1/6-1/(6n^2)	$\frac{n^{2} + 7 n + 6}{n^{2}} = \frac{1}{6} - \frac{1}{6 n^{2}}$
221839	Solve for x	square root of 3x+28-8=x	$\sqrt{3 x + 28 - 8} = x$
221840	Solve the Inequality for x	6x^2+2x-1>-3x	$6 x^{2} + 2 x - 1 > - 3 x$
221841	Find the Domain and Range	square root of x^2-7x+10	$\sqrt{x^{2} - 7 x + 10}$
221842	Evaluate	arctan(1)-arctan(0)	$\arctan (1) - \arctan (0)$
221843	Find the x and y Intercepts	f(x)=-5(x+2)^2(5x+1)	$f (x) = - 5 {(x + 2)}^{2} (5 x + 1)$
221844	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?	What is the equation of the line that passes through the point $(1, 0)$ and has a slope of $1$ ?
221845	Solve the Inequality for x	y<2x-3	$y < 2 x - 3$
221846	Expand the Logarithmic Expression	log base 2 of p cube root of xy	$\log_{2} (p \sqrt[3]{x y})$
221847	Solve for X	X^2+2^2=7^2	$X^{2} + 2^{2} = 7^{2}$
221848	Factor by Grouping	14a+21a^2+21a^3	$14 a + 21 a^{2} + 21 a^{3}$
221849	Solve the Inequality for t	2(t-3)>2t-8	$2 (t - 3) > 2 t - 8$
221850	Simplify	(z^8)^0z^(1/2)	${(z^{8})}^{0} z^{\frac{1}{2}}$
221851	Graph	f(x)=x^2(x-1)	$f (x) = x^{2} (x - 1)$
221852	Solve for x	(x+4)^2=15-2x^2	${(x + 4)}^{2} = 15 - 2 x^{2}$
221853	Solve for x	7/x+2/9=-5/(3x)	$\frac{7}{x} + \frac{2}{9} = - \frac{5}{3 x}$
221854	Simplify the Radical Expression	fourth root of 11* fourth root of 10	$\sqrt[4]{11} \cdot \sqrt[4]{10}$
221855	Write in Standard Form	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
221856	Write in Standard Form	y=1/2x^2+6x+17	$y = \frac{1}{2} x^{2} + 6 x + 17$
221857	Simplify	5(8p)+9p	$5 (8 p) + 9 p$
221858	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-7) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 4, - 7)$ and has a slope of $\frac{3}{2}$ ?
221859	Evaluate Using the Given Value	-2x+3y^2 , x=1 , y=-1	$- 2 x + 3 y^{2}$ , $x = 1$ , $y = - 1$
221860	Solve for x	4x-22+10x-4+x+11=180	$4 x - 22 + 10 x - 4 + x + 11 = 180$
221861	Solve Using the Quadratic Formula	x^4-1	$x^{4} - 1$
221862	Simplify	(5e^3f^2g^4)^0	${(5 e^{3} f^{2} g^{4})}^{0}$
221863	Solve the Inequality for x	x-11<=0	$x - 11 \leq 0$
221864	Solve for n	9n^2-23n+20=3n^2	$9 n^{2} - 23 n + 20 = 3 n^{2}$
221865	Simplify	(6m)((m-2)/(3m))	$(6 m) (\frac{m - 2}{3 m})$
221866	Simplify	45^45*15^15	$45^{45} \cdot 15^{15}$
221867	Simplify	(14+12a^3)+(17a^4+15-5a^3)	$(14 + 12 a^{3}) + (17 a^{4} + 15 - 5 a^{3})$
221868	Graph	x+y=8 y=-1/2x+7	$x + y = 8$ $y = - \frac{1}{2} x + 7$
221869	Solve the Rational Equation for x	x-x/(x+2)=2/(x+2)	$x - \frac{x}{x + 2} = \frac{2}{x + 2}$
221870	Factor	4x^2y+20x^3y^4-16xy	$4 x^{2} y + 20 x^{3} y^{4} - 16 x y$
221871	Factor	x^7m+2x^4m-15xm	$x^{7} m + 2 x^{4} m - 15 x m$
221872	Simplify	\|-i\|	$\| - i \|$
221873	Solve for x	3 log base 2 of x+1=7	$3 \log_{2} (x) + 1 = 7$
221874	Divide	(610^8)/(1.510^-4)	$\frac{(6 \cdot 10^{8})}{(1.5 \cdot 10^{- 4})}$
221875	Find All Complex Solutions	(x+8)^3=525	${(x + 8)}^{3} = 525$
221876	Factor	(9x-63)cm^2	$(9 x - 63) {cm}^{2}$
221877	Solve the Inequality for x	tan(x)>-1	$\tan (x) > - 1$
221878	Evaluate	70% of 60	$70 %$ of $60$
221879	Multiply	square root of 3x* square root of x	$\sqrt{3 x} \cdot \sqrt{x}$
221880	Evaluate	e^(-(-1))	$e^{- (- 1)}$
221881	Subtract	(y^2)/(y^2+8y)-64/(y^2+8y)	$\frac{y^{2}}{y^{2} + 8 y} - \frac{64}{y^{2} + 8 y}$
221882	Simplify	(6^-6)/(6^-8)*6^4	$\frac{6^{- 6}}{6^{- 8}} \cdot 6^{4}$
221883	Simplify	2(-1/2)	$2 (- \frac{1}{2})$
221884	Simplify	2/(x^2-7x-30)(x^2-x-12)/(16x-x^3)(x^2-x-90)/(x+9)	$\frac{2}{x^{2} - 7 x - 30} \cdot \frac{x^{2} - x - 12}{16 x - x^{3}} \cdot \frac{x^{2} - x - 90}{x + 9}$
221885	Evaluate	1/(-3.5^2-9)	$\frac{1}{- {3.5}^{2} - 9}$
221886	Solve for x	12x^(7/2)-108x^3=0	$12 x^{\frac{7}{2}} - 108 x^{3} = 0$
221887	Solve for x	(x+5)/x-4/7=-4/(7x)	$\frac{x + 5}{x} - \frac{4}{7} = \frac{- 4}{7 x}$
221888	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,5) and has a slope of -6 ?	What is the equation of the line that passes through the point $(- 2, 5)$ and has a slope of $- 6$ ?
221889	Solve the Inequality for x	-9x+2<=-3(-4/5x-10)-1/5x	$- 9 x + 2 \leq - 3 (- \frac{4}{5} x - 10) - \frac{1}{5} x$
221890	Solve for b	square root of b+3=6	$\sqrt{b} + 3 = 6$
221891	Solve for b	(b-3)m=r	$(b - 3) m = r$
221892	Simplify	((x-6)/(2x+9))/(10/7)	$\frac{\frac{x - 6}{2 x + 9}}{\frac{10}{7}}$
221893	Convert to Interval Notation	(x-10)/4>(x-5)/6+7/12	$\frac{x - 10}{4} > \frac{x - 5}{6} + \frac{7}{12}$
221894	Simplify	fifth root of 8xy^7* fifth root of 6x^6	$\sqrt[5]{8 x y^{7}} \cdot \sqrt[5]{6 x^{6}}$
221895	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+11x^2+x-18 is divided by x+2	Use synthetic division to find the result when $3 x^{3} + 11 x^{2} + x - 18$ is divided by $x + 2$
221896	Simplify	square root of 27* square root of 1/27	$\sqrt{27} \cdot \sqrt{\frac{1}{27}}$
221897	Solve the Inequality for x	3x-x>2(x+2)	$3 x - x > 2 (x + 2)$
221898	Multiply	( square root of 3)( square root of 3)	$(\sqrt{3}) (\sqrt{3})$
221899	Simplify	(2 square root of 9-x)^2	${(2 \sqrt{9 - x})}^{2}$
221900	Graph	f^-1(x)=-x/3	$f^{- 1} (x) = - \frac{x}{3}$