Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212801	Simplify the Radical Expression	cube root of 27x	$\sqrt[3]{27 x}$
212802	Simplify	(3x-5)/(4x+3)+(-2x+1)/(7x-2)	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2}$
212803	Simplify	-8mn+9mn	$- 8 m n + 9 m n$
212804	Simplify	5/(2x+1)+8/(4x+2)	$\frac{5}{2 x + 1} + \frac{8}{4 x + 2}$
212805	Simplify	(3/4x^2+2/3x+4)+(1/4x^2-5/3x-13)	$(\frac{3}{4} x^{2} + \frac{2}{3} x + 4) + (\frac{1}{4} x^{2} - \frac{5}{3} x - 13)$
212806	Simplify	4 1/4+2 1/4+6 1/3	$4 \frac{1}{4} + 2 \frac{1}{4} + 6 \frac{1}{3}$
212807	Simplify	2/x-4/(3x-1)	$\frac{2}{x} - \frac{4}{3 x - 1}$
212808	Evaluate	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
212809	Find the Perpendicular Line	What is the equation of the line that is perpendicular to the line defined by the equation 2x=4y-8 and goes through the point (1,2) ?	What is the equation of the line that is perpendicular to the line defined by the equation $2 x = 4 y - 8$ and goes through the point $(1, 2)$ ?
212810	Write in y=mx+b Form	y=4x	$y = 4 x$
212811	Evaluate	(94-93)/(2.68/( square root of 10))	$\frac{94 - 93}{\frac{2.68}{\sqrt{10}}}$
212812	Simplify	(7c^6d^2*-6c^2d)/(-3c^7d^2)	$\frac{7 c^{6} d^{2} \cdot - 6 c^{2} d}{- 3 c^{7} d^{2}}$
212813	Simplify	( square root of 18* square root of 8)/2	$\frac{\sqrt{18} \cdot \sqrt{8}}{2}$
212814	Simplify	(m^5)^-3(m^4n^5)^4	${(m^{5})}^{- 3} {(m^{4} n^{5})}^{4}$
212815	Simplify	1/(n+5)*(n^2+2n-15)/(n-8)	$\frac{1}{n + 5} \cdot \frac{n^{2} + 2 n - 15}{n - 8}$
212816	Solve for x	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
212817	Solve for x	1/x-2/(x+3)=2/(x+3)	$\frac{1}{x} - \frac{2}{x + 3} = \frac{2}{x + 3}$
212818	Evaluate	2(5+x)	$2 (5 + x)$
212819	Solve for y	( log base 5 of y)^2-7 log base 5 of y+12=0	${\log_{5}}^{2} (y) - 7 \log_{5} (y) + 12 = 0$
212820	Solve for θ	cos(theta/2)-cos(theta)=1	$\cos (\frac{θ}{2}) - \cos (θ) = 1$
212821	Solve for y	3(y+4)=x	$3 (y + 4) = x$
212822	Simplify	(1+tan(theta)^2)/(cot(theta)^2)	$\frac{(1 + \tan^{2} (θ))}{\cot^{2} (θ)}$
212823	Simplify	-(2ab^2-ab+b)+3ab^2-4b-(5ab-ab^2)	$- (2 a b^{2} - a b + b) + 3 a b^{2} - 4 b - (5 a b - a b^{2})$
212824	Solve the Inequality for x	(5x-1)/5+(x+1)/2<=x	$\frac{(5 x - 1)}{5} + \frac{(x + 1)}{2} \leq x$
212825	Solve for y	square root of y+14- square root of 3y-10=0	$\sqrt{y + 14} - \sqrt{3 y - 10} = 0$
212826	Simplify	4x^(2/3)*5x^(1/2)	$4 x^{\frac{2}{3}} \cdot 5 x^{\frac{1}{2}}$
212827	Solve for x	2(4x)+30=46	$2 (4 x) + 30 = 46$
212828	Find the x and y Intercepts	y-3=1/2(x-6)	$y - 3 = \frac{1}{2} (x - 6)$
212829	Determine if a Polynomial	r^4+r	$r^{4} + r$
212830	Write in Standard Form	(1+i)+(3+i)	$(1 + i) + (3 + i)$
212831	Simplify	fourth root of (a^5b^3)/(625a)	$\sqrt[4]{\frac{a^{5} b^{3}}{625 a}}$
212832	Solve for v	1/4v=2+3	$\frac{1}{4} v = 2 + 3$
212833	Graph	3y<=7x-21	$3 y \leq 7 x - 21$
212834	Identify the Sequence	2 , 8 , 32 , 128 ; dots	$2$ , $8$ , $32$ , $128$ ; dots
212835	Solve for x	x^5-4x^3+3x=0	$x^{5} - 4 x^{3} + 3 x = 0$
212836	Simplify	5/9z-6/9z+2-7/9z-9	$\frac{5}{9} z - \frac{6}{9} z + 2 - \frac{7}{9} z - 9$
212837	Evaluate	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
212838	Solve for x	9/(5x)-1/6=-1	$\frac{9}{5 x} - \frac{1}{6} = - 1$
212839	Solve the Inequality for j	-2.3<j/4	$- 2.3 < \frac{j}{4}$
212840	Write in Standard Form	-3n^2(-2n^3+7n+4n)	$- 3 n^{2} (- 2 n^{3} + 7 n + 4 n)$
212841	Write in Standard Form	(7i)(-3i)	$(7 i) (- 3 i)$
212842	Write Using Positive Exponents	(a^3b^-2)/(ab^-4)	$\frac{a^{3} b^{- 2}}{a b^{- 4}}$
212843	Find the Roots (Zeros)	2x^5+24x=14x^3	$2 x^{5} + 24 x = 14 x^{3}$
212844	Solve for x	log base 5 of 2x^2-1- log base 5 of 3x+4=0	$\log_{5} (2 x^{2} - 1) - \log_{5} (3 x + 4) = 0$
212845	Write the Fraction in Simplest Form	(2(a^2)^3)/(-10a^-8)	$\frac{2 {(a^{2})}^{3}}{- 10 a^{- 8}}$
212846	Simplify	(-cd^2)^4	${(- c d^{2})}^{4}$
212847	Solve for C	2C+5(-4/7)=2	$2 C + 5 (- \frac{4}{7}) = 2$
212848	Solve the Inequality for x	3\|x+5\|+7<=-16	$3 \| x + 5 \| + 7 \leq - 16$
212849	Solve for x	-2/5-3/(2x)=3/(4x)	$- \frac{2}{5} - \frac{3}{2 x} = \frac{3}{4 x}$
212850	Divide	(4f^5-6f^4+12f^3-8f^2)(4f^2)^-1	$(4 f^{5} - 6 f^{4} + 12 f^{3} - 8 f^{2}) {(4 f^{2})}^{- 1}$
212851	Simplify	(11y^3+9xy^3)-(9y^3+8xy^3-2x^4y^3)+(-2y^3+12x^4y^3)	$(11 y^{3} + 9 x y^{3}) - (9 y^{3} + 8 x y^{3} - 2 x^{4} y^{3}) + (- 2 y^{3} + 12 x^{4} y^{3})$
212852	Write in Exponential Form	( cube root of x)^3	${(\sqrt[3]{x})}^{3}$
212853	Solve the Rational Equation for x	square root of x+12=x	$\sqrt{x + 12} = x$
212854	Multiply	(x-d)(x+d)(x^2-d^2)	$(x - d) (x + d) (x^{2} - d^{2})$
212855	Simplify	(8m^-2)/(4n^-1)	$\frac{8 m^{- 2}}{4 n^{- 1}}$
212856	Simplify	(x^2)^5(16x^10)^(1/2)	${(x^{2})}^{5} {(16 x^{10})}^{\frac{1}{2}}$
212857	Solve for u	4/(u+4)=8/(2u+8)-3	$\frac{4}{u + 4} = \frac{8}{2 u + 8} - 3$
212858	Solve for y	x-16i=3-(2y)i	$x - 16 i = 3 - (2 y) i$
212859	Evaluate	cube root of 40/5	$\sqrt[3]{\frac{40}{5}}$
212860	Solve by Factoring	2x^2-8=31x-2x^2	$2 x^{2} - 8 = 31 x - 2 x^{2}$
212861	Simplify	(10x^2y)/(2y)	$\frac{10 x^{2} y}{2 y}$
212862	Find All Complex Solutions	105 degrees =60 degrees +45 degrees	$105 ° = 60 ° + 45 °$
212863	Simplify	(a/b)/((c^2)/d)	$\frac{\frac{a}{b}}{\frac{c^{2}}{d}}$
212864	Simplify	((a-b)^2)/((b-a)^2)	$\frac{{(a - b)}^{2}}{{(b - a)}^{2}}$
212865	Solve the System of Equations	Solve 5x-6y=-38 3x+4y=0	Solve $5 x - 6 y = - 38$ $3 x + 4 y = 0$
212866	Solve by Graphing	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
212867	Solve for v	9=v+4/v+12	$9 = v + \frac{4}{v} + 12$
212868	Simplify	y square root of 2y^3-3 square root of 8y^5+3y square root of 72y^3	$y \sqrt{2 y^{3}} - 3 \sqrt{8 y^{5}} + 3 y \sqrt{72 y^{3}}$
212869	Find the LCM	6 and 5	$6$ and $5$
212870	Rationalize the Denominator	cube root of 24/25	$\sqrt[3]{\frac{24}{25}}$
212871	Write the Fraction in Simplest Form	(6x^2)/((2m^4x^5)^4)	$\frac{6 x^{2}}{{(2 m^{4} x^{5})}^{4}}$
212872	Graph	table[[x,y],[0,0],[1,1],[2,4]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \end{array}$
212873	Simplify	-3 square root of 6x^2*2 square root of 4x^5	$- 3 \sqrt{6 x^{2}} \cdot 2 \sqrt{4 x^{5}}$
212874	Solve the Inequality for x	12>=6-3x>=-3	$12 \geq 6 - 3 x \geq - 3$
212875	Solve for v	(7v-2)^(1/4)+12=7	${(7 v - 2)}^{\frac{1}{4}} + 12 = 7$
212876	Simplify	(5*2-3^2)/((3^2-(-2))^2)	$\frac{5 \cdot 2 - 3^{2}}{{(3^{2} - (- 2))}^{2}}$
212877	Simplify	(3x^2+2y^2-3x)-(2x^2+y^2-2x)	$(3 x^{2} + 2 y^{2} - 3 x) - (2 x^{2} + y^{2} - 2 x)$
212878	Solve the Inequality for x	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
212879	Solve for x	9x^5=27x^3	$9 x^{5} = 27 x^{3}$
212880	Simplify	( square root of 5)÷( square root of 15)	$\sqrt{5} \div \sqrt{15}$
212881	Find the GCF	24x^3y^2-18xy^3+12y^3	$24 x^{3} y^{2} - 18 x y^{3} + 12 y^{3}$
212882	Solve for y	x=( square root of 2y)/26	$x = \frac{\sqrt{2 y}}{26}$
212883	Solve for n	-6(3+n)-10=-6n-4-24n	$- 6 (3 + n) - 10 = - 6 n - 4 - 24 n$
212884	Simplify the Radical Expression	square root of (81x^4)/(9x^2)	$\sqrt{\frac{81 x^{4}}{9 x^{2}}}$
212885	Find the Degree	8a^3+a^5-a	$8 a^{3} + a^{5} - a$
212886	Multiply	square root of 18a^2*4 square root of 3a^2	$\sqrt{18 a^{2}} \cdot 4 \sqrt{3 a^{2}}$
212887	Solve for n	square root of 15-n = square root of 3n-5	$\sqrt{15 - n} = \sqrt{3 n - 5}$
212888	Combine Like Terms	x+2x+3x	$x + 2 x + 3 x$
212889	Factor	a^2b^2-c^4	$a^{2} b^{2} - c^{4}$
212890	Solve the Inequality for k	10/3k>=-10	$\frac{10}{3} k \geq - 10$
212891	Simplify	9 square root of 6a-11 square root of 6a+4 square root of 6a	$9 \sqrt{6 a} - 11 \sqrt{6 a} + 4 \sqrt{6 a}$
212892	Graph	Graph 3x+4y=12	Graph $3 x + 4 y = 12$
212893	Evaluate	2*(1/3)^2	$2 \cdot {(\frac{1}{3})}^{2}$
212894	Evaluate	2*(1/3)^-2	$2 \cdot {(\frac{1}{3})}^{- 2}$
212895	Simplify	(7a)/(12b)-(2a)/(15b)	$\frac{7 a}{12 b} - \frac{2 a}{15 b}$
212896	Subtract	(6n^2+11n^3+2n)-(4n-3+5n^2)	$(6 n^{2} + 11 n^{3} + 2 n) - (4 n - 3 + 5 n^{2})$
212897	Write in Standard Form	(710^5)÷(210^2)	$(7 \cdot 10^{5}) \div (2 \cdot 10^{2})$
212898	Evaluate	5% of 60	$5 %$ of $60$
212899	Simplify	-8i+(-i)	$- 8 i + (- i)$
212900	Simplify	((8x-56)/(x^2-49))÷((x-6)/(x^2+11x+28))	$\frac{8 x - 56}{x^{2} - 49} \div \frac{x - 6}{x^{2} + 11 x + 28}$