Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214901	Solve for x	cube root of 4x^2+2x-8=x	$\sqrt[3]{4 x^{2} + 2 x - 8} = x$
214902	Solve Using the Quadratic Formula	2x^2+3=6y	$2 x^{2} + 3 = 6 y$
214903	Expand the Logarithmic Expression	log base 7 of 7^3*7^8	$\log_{7} (7^{3} \cdot 7^{8})$
214904	Evaluate	n-10+9n-3	$n - 10 + 9 n - 3$
214905	Evaluate	1/2 square root of 24	$\frac{1}{2} \sqrt{24}$
214906	Convert to Scientific Notation	(1.2*10^-5)÷4	$(1.2 \times 10^{- 5}) \div 4$
214907	Multiply	7x(6x+4y)	$7 x (6 x + 4 y)$
214908	Solve for x	log base 7 of 4x^2-1- log base 7 of 3x+6=0	$\log_{7} (4 x^{2} - 1) - \log_{7} (3 x + 6) = 0$
214909	Find All Complex Solutions	cos(2x)+cos(x)+1=0	$\cos (2 x) + \cos (x) + 1 = 0$
214910	Simplify	(( square root of 2)/2+( square root of 3)/5i)^2	${(\frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{5} i)}^{2}$
214911	Solve the Inequality for x	4x+1<=x-3+5x	$4 x + 1 \leq x - 3 + 5 x$
214912	Rationalize the Denominator	4( cube root of 5y^3)(2 cube root of 50y)	$4 (\sqrt[3]{5 y^{3}}) (2 \sqrt[3]{50 y})$
214913	Solve the Inequality for n	8-1/4n>=20	$8 - \frac{1}{4} n \geq 20$
214914	Simplify	(-3 square root of 3k+4)( square root of 3k-5)	$(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$
214915	Evaluate	60% of 40	$60 %$ of $40$
214916	Solve for r	2/r+1/2=3/4	$\frac{2}{r} + \frac{1}{2} = \frac{3}{4}$
214917	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-5x^3+7x^2+3x-8 is divided by x-1	Use synthetic division to find the result when $3 x^{4} - 5 x^{3} + 7 x^{2} + 3 x - 8$ is divided by $x - 1$
214918	Simplify	(4e^2)^3	${(4 e^{2})}^{3}$
214919	Solve for w	log base 8 of w+12+ log base 8 of w=3* log base 8 of 4	$\log_{8} (w + 12) + \log_{8} (w) = 3 \cdot \log_{8} (4)$
214920	Solve for x	11+2x=3+4x-3x	$11 + 2 x = 3 + 4 x - 3 x$
214921	Simplify	-(5t^5)/((5t^4)^2)	$- \frac{5 t^{5}}{{(5 t^{4})}^{2}}$
214922	Find the Roots (Zeros)	y=(x+1)^2(x-1)(x-2)	$y = {(x + 1)}^{2} (x - 1) (x - 2)$
214923	Solve for a	a=p(1+rt)	$a = p (1 + r t)$
214924	Simplify	((3)^3)/((3)^4)	$\frac{{(3)}^{3}}{{(3)}^{4}}$
214925	Solve the Rational Equation for x	5/(x^2-3x+2)-1/(x-2)=(x+6)/(3x-3)	$\frac{5}{x^{2} - 3 x + 2} - \frac{1}{x - 2} = \frac{x + 6}{3 x - 3}$
214926	Solve the Inequality for x	18<-(1+x)	$18 < - (1 + x)$
214927	Simplify	6/7x-2/5y+5/7(y+x)	$\frac{6}{7} x - \frac{2}{5} y + \frac{5}{7} (y + x)$
214928	Simplify the Radical Expression	square root of 24b^3* square root of 40b^2* square root of b^2	$\sqrt{24 b^{3}} \cdot \sqrt{40 b^{2}} \cdot \sqrt{b^{2}}$
214929	Find the Inverse	f(x)=(8+x)/(3x-2)	$f (x) = \frac{8 + x}{3 x - 2}$
214930	Evaluate	square root of 3-( square root of 3)/3	$\sqrt{3} - \frac{\sqrt{3}}{3}$
214931	Describe the Transformation	y=-x^3+1	$y = - x^{3} + 1$
214932	Evaluate	((2^-4)(4^3)(3^3))/4	$\frac{(2^{- 4}) (4^{3}) (3^{3})}{4}$
214933	Solve for x	x-3(2+3x)=2(5x-3)	$x - 3 (2 + 3 x) = 2 (5 x - 3)$
214934	Solve by Addition/Elimination	2.4(x+4y)=-4.8 2.4x-9y=-14.1	$2.4 (x + 4 y) = - 4.8$ $2.4 x - 9 y = - 14.1$
214935	Find the Roots (Zeros)	4x^2-36x=-73	$4 x^{2} - 36 x = - 73$
214936	Simplify the Radical Expression	6 square root of 8*2 square root of 3	$6 \sqrt{8} \cdot 2 \sqrt{3}$
214937	Write in Standard Form	(x^2-3x-54)*(x+6)	$(x^{2} - 3 x - 54) \cdot (x + 6)$
214938	Multiply	( square root of 3x-5-4)^2	${(\sqrt{3 x - 5} - 4)}^{2}$
214939	Simplify	(-2ax^2+3ax-a^2)(-a^2x^2)	$(- 2 a x^{2} + 3 a x - a^{2}) (- a^{2} x^{2})$
214940	Evaluate	(81^x)/(9^(5x-8))=9^(f(x))	$\frac{81^{x}}{9^{5 x - 8}} = 9^{f (x)}$
214941	Solve the Inequality for n	-33<=-7n-12<-26	$- 33 \leq - 7 n - 12 < - 26$
214942	Simplify	(5x^4(x^2))/((5x^6)^2)	$\frac{5 x^{4} (x^{2})}{{(5 x^{6})}^{2}}$
214943	Solve for p	p-12=8-5(p-2)	$p - 12 = 8 - 5 (p - 2)$
214944	Solve the Inequality for x	42+10x<=3x	$42 + 10 x \leq 3 x$
214945	Graph	x>=3 y<-5	$x \geq 3$ $y < - 5$
214946	Determine if a Polynomial	-8n^2m^4+9m^-1n^2+6n^4	$- 8 n^{2} m^{4} + 9 m^{- 1} n^{2} + 6 n^{4}$
214947	Simplify	5.5+7((6.3+2.1)*4+(10-4)÷2)	$5.5 + 7 ((6.3 + 2.1) \cdot 4 + (10 - 4) \div 2)$
214948	Divide	((14a^2)/(10b^2))÷((21a^2)/(15b^2))	$\frac{14 a^{2}}{10 b^{2}} \div \frac{21 a^{2}}{15 b^{2}}$
214949	Solve for m	5+(m+0)=(5+3)+0	$5 + (m + 0) = (5 + 3) + 0$
214950	Solve for t	t(2t+3)+20=2t(t-3)	$t (2 t + 3) + 20 = 2 t (t - 3)$
214951	Graph	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
214952	Convert to a Simplified Fraction	0.25 as a fraction	$0.25$ as a fraction
214953	Simplify	10-2 square root of 5+5 square root of 5-5	$10 - 2 \sqrt{5} + 5 \sqrt{5} - 5$
214954	Simplify	-(10h^6)/((2h^-3)^5)	$- \frac{10 h^{6}}{{(2 h^{- 3})}^{5}}$
214955	Multiply	(a^2+b^2-2ab)*(a-b)	$(a^{2} + b^{2} - 2 a b) \cdot (a - b)$
214956	Solve for n	n^3=49	$n^{3} = 49$
214957	Solve for v	-4/7v=-8 2/3	$- \frac{4}{7} v = - 8 \frac{2}{3}$
214958	Evaluate	square root of 49(x^3+4)^6	$\sqrt{49 {(x^{3} + 4)}^{6}}$
214959	Solve for r	1/r=1/2+1/3	$\frac{1}{r} = \frac{1}{2} + \frac{1}{3}$
214960	Solve for x	1/2x+3<4x-7	$\frac{1}{2} x + 3 < 4 x - 7$
214961	Factor	x^4-10x^2=-9	$x^{4} - 10 x^{2} = - 9$
214962	Evaluate	3^13^03^3	$3^{1} \cdot 3^{0} \cdot 3^{3}$
214963	Find the Roots (Zeros)	(x-2)(x^2-9)	$(x - 2) (x^{2} - 9)$
214964	Find All Complex Solutions	cube root of x+8=-4	$\sqrt[3]{x + 8} = - 4$
214965	Simplify	1/(1/( square root of x))	$\frac{1}{\frac{1}{\sqrt{x}}}$
214966	Solve Using the Quadratic Formula	2(2x-1)=5x^2	$2 (2 x - 1) = 5 x^{2}$
214967	Simplify	(1 square root of 3)/3	$\frac{1 \sqrt{3}}{3}$
214968	Simplify	(-m^5n^2-1/2m^4n^4+2/3m^3n-4mn^4)÷(-4m^5n^3)	$(- m^{5} n^{2} - \frac{1}{2} m^{4} n^{4} + \frac{2}{3} m^{3} n - 4 m n^{4}) \div (- 4 m^{5} n^{3})$
214969	Evaluate	(x^-6x^5y^3)/(y^8)	$\frac{x^{- 6} x^{5} y^{3}}{y^{8}}$
214970	Solve for k	3k^2-14k+4=-4	$3 k^{2} - 14 k + 4 = - 4$
214971	Evaluate	i^46*i^22	$i^{46} \cdot i^{22}$
214972	Solve the Rational Equation for x	5/(2x+6)-1/6=2/(x+4)	$\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}$
214973	Evaluate	i^44*i^14	$i^{44} \cdot i^{14}$
214974	Simplify	(-19/29)(11y)	$(- \frac{19}{29}) (11 y)$
214975	Solve for a	(a-b)^2=0	${(a - b)}^{2} = 0$
214976	Solve for x	15-(7x+20)=0.5(6x-14)	$15 - (7 x + 20) = 0.5 (6 x - 14)$
214977	Find the Roots (Zeros)	3x^2-36x=-96	$3 x^{2} - 36 x = - 96$
214978	Solve for y	(2,3) , (7,y) m=-2/5	$(2, 3)$ , $(7, y)$ $m = - \frac{2}{5}$
214979	Simplify	(r^4t^7v^2)/(t^7v^2)	$\frac{r^{4} t^{7} v^{2}}{t^{7} v^{2}}$
214980	Solve Using the Square Root Property	3(x+1)^2-4=5	$3 {(x + 1)}^{2} - 4 = 5$
214981	Find the Exact Value	log base 3 of 27+ log base 3 of 81	$\log_{3} (27) + \log_{3} (81)$
214982	Solve for b	b^3=79	$b^{3} = 79$
214983	Evaluate	(2x)/(y^2-x^2)-x/(y-x)	$\frac{2 x}{y^{2} - x^{2}} - \frac{x}{y - x}$
214984	Evaluate	sin(arccos(x/2))	$\sin (\arccos (\frac{x}{2}))$
214985	Find the Exact Value	log base 7 of 7^5	$\log_{7} (7^{5})$
214986	Graph	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
214987	Solve the Inequality for x	4 1/2<=1.2x	$4 \frac{1}{2} \leq 1.2 x$
214988	Graph	-5((x-2)(x-3))/((x-6)(x-8))	$- 5 \frac{(x - 2) (x - 3)}{(x - 6) (x - 8)}$
214989	Evaluate	(2y-6x)/(3x)=2y-2	$\frac{2 y - 6 x}{3 x} = 2 y - 2$
214990	Find the Roots (Zeros)	3- square root of x-4=0	$3 - \sqrt{x - 4} = 0$
214991	Evaluate	((3^2)÷3)+5-2	$(3^{2} \div 3) + 5 - 2$
214992	Solve for j	3(-6j-2)=-13-11j-6j	$3 (- 6 j - 2) = - 13 - 11 j - 6 j$
214993	Solve the System of Inequalities	6x-y>12 x+5y<-10	$6 x - y > 12$ $x + 5 y < - 10$
214994	Simplify	32x square root of 5-18x square root of 20	$32 x \sqrt{5} - 18 x \sqrt{20}$
214995	Solve for n	n-6<=-14	$n - 6 \leq - 14$
214996	Factor	ay-a^6y^6	$a y - a^{6} y^{6}$
214997	Simplify	(5x-x^2)/(x^2-8x+15)	$\frac{5 x - x^{2}}{x^{2} - 8 x + 15}$
214998	Write in Standard Form	(-1,19) and (3,35)	$(- 1, 19)$ and $(3, 35)$
214999	Solve the System of Equations	6-0.9x=0.4y -y+0.2x=3.6	$6 - 0.9 x = 0.4 y$ $- y + 0.2 x = 3.6$
215000	Evaluate	pi/4-(-pi/4)	$\frac{π}{4} - (- \frac{π}{4})$