Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224801	Convert to Polar	x^2+y^2=a^2	$x^{2} + y^{2} = a^{2}$
224802	Solve for x	(3v)/y=x/b	$\frac{3 v}{y} = \frac{x}{b}$
224803	Simplify the Radical Expression	square root of (n^-4)/(n^-5)	$\sqrt{\frac{n^{- 4}}{n^{- 5}}}$
224804	Solve for x	log base 2 of x+ log base 2 of x+4<5	$\log_{2} (x) + \log_{2} (x + 4) < 5$
224805	Simplify	square root of 27* cube root of 9	$\sqrt{27} \cdot \sqrt[3]{9}$
224806	Evaluate	Evaluate sin(arccos(-4/( square root of 25)))	Evaluate $\sin (\arccos (- \frac{4}{\sqrt{25}}))$
224807	Simplify	(-x^2y+3xy^3+4x^2y^2)+(-8x^2y-2xy^3-6x^2y^2)	$(- x^{2} y + 3 x y^{3} + 4 x^{2} y^{2}) + (- 8 x^{2} y - 2 x y^{3} - 6 x^{2} y^{2})$
224808	Evaluate	1/2(4k^5)^2	$\frac{1}{2} {(4 k^{5})}^{2}$
224809	Solve for x	2(x-3)+3=6x-5	$2 (x - 3) + 3 = 6 x - 5$
224810	Write in y=mx+b Form	x=3-3y	$x = 3 - 3 y$
224811	Evaluate	(1-5*-5)/24	$\frac{1 - 5 \cdot - 5}{24}$
224812	Simplify	((-2x)/(5x))^0	${(\frac{- 2 x}{5 x})}^{0}$
224813	Multiply	((x-5)(x-8))/(x+1)*(x+1)/((x+5)(x-8))	$\frac{(x - 5) (x - 8)}{x + 1} \cdot \frac{x + 1}{(x + 5) (x - 8)}$
224814	Simplify	cube root of 3(5 cube root of 9-4)	$\sqrt[3]{3} (5 \sqrt[3]{9} - 4)$
224815	Simplify	-5y^-2z	$- 5 y^{- 2} z$
224816	Solve the Inequality for b	b/5>-1	$\frac{b}{5} > - 1$
224817	Write as a Single Logarithm	1+3 natural log of x-4 natural log of y+1/2 natural log of z	$1 + 3 \ln (x) - 4 \ln (y) + \frac{1}{2} \ln (z)$
224818	Solve for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
224819	Combine Like Terms	1.5r-3r+8r+2.5r	$1.5 r - 3 r + 8 r + 2.5 r$
224820	Solve for E	3.9=2/3 log of E/E_0	$3.9 = \frac{2}{3} \log (\frac{E}{E_{0}})$
224821	Graph	x/( square root of x^2+1)	$\frac{x}{\sqrt{x^{2} + 1}}$
224822	Simplify the Radical Expression	(4- square root of 2)/(2 square root of 8)	$\frac{4 - \sqrt{2}}{2 \sqrt{8}}$
224823	Simplify	((-9x)/(x^2-8x)*(9x^3+36x^2-189x)/(x^2-10x+21))÷((x+7)/(x^2-15x+56))	$\frac{- 9 x}{x^{2} - 8 x} \cdot \frac{9 x^{3} + 36 x^{2} - 189 x}{x^{2} - 10 x + 21} \div \frac{x + 7}{x^{2} - 15 x + 56}$
224824	Combine Like Terms	-m+17m-12c+3m+4c+21c	$- m + 17 m - 12 c + 3 m + 4 c + 21 c$
224825	Solve for x	6x+(4+2x)=2x-(7x-4)+5	$6 x + (4 + 2 x) = 2 x - (7 x - 4) + 5$
224826	Graph	f(x)=1/2(x-1)	$f (x) = \frac{1}{2} (x - 1)$
224827	Evaluate	(2/x-4/y)/(-5/y+3/x)	$\frac{\frac{2}{x} - \frac{4}{y}}{\frac{- 5}{y} + \frac{3}{x}}$
224828	Factor	x^6+4x^4-12x^2	$x^{6} + 4 x^{4} - 12 x^{2}$
224829	Find the Domain and Range	y=2x+x^2	$y = 2 x + x^{2}$
224830	Solve for x	1/2(5x+1)^(1/3)+5/2=4	$\frac{1}{2} {(5 x + 1)}^{\frac{1}{3}} + \frac{5}{2} = 4$
224831	Solve for m	square root of m+5=8	$\sqrt{m + 5} = 8$
224832	Solve the Inequality for x	x+2=5	$x + 2 = 5$
224833	Solve Using the Quadratic Formula	6x^2-2+x=x	$6 x^{2} - 2 + x = x$
224834	Simplify	(x^-2y)/(xy^2)	$\frac{x^{- 2} y}{x y^{2}}$
224835	Evaluate	(2y^3*3xy^3)/(3x^2y^4)	$\frac{2 y^{3} \cdot 3 x y^{3}}{3 x^{2} y^{4}}$
224836	Evaluate	(-8^-2)/(3^-4)	$\frac{- 8^{- 2}}{3^{- 4}}$
224837	Simplify	10a^9-12a^9+10a^7+9a^9-3a^7	$10 a^{9} - 12 a^{9} + 10 a^{7} + 9 a^{9} - 3 a^{7}$
224838	Write in Exponential Form	( fourth root of p^2)^8	${(\sqrt[4]{p^{2}})}^{8}$
224839	Evaluate Using the Given Value	6x+4 when x=2	$6 x + 4$ when $x = 2$
224840	Evaluate	square root of 75yz^2	$\sqrt{75 y z^{2}}$
224841	Solve the Inequality for a	-4a+13>=29	$- 4 a + 13 \geq 29$
224842	Solve for x	(x-9)(x+9)=x^2-81	$(x - 9) (x + 9) = x^{2} - 81$
224843	Graph	find f(3)	find $f (3)$
224844	Evaluate	1/2+2/3+1 2/3+1/5	$\frac{1}{2} + \frac{2}{3} + 1 \frac{2}{3} + \frac{1}{5}$
224845	Simplify	(-1/2a^3b^4-1/3a^2b^2+2/5a^5b-a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{2} a^{3} b^{4} - \frac{1}{3} a^{2} b^{2} + \frac{2}{5} a^{5} b - a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
224846	Simplify	(4^2)/-5	$\frac{4^{2}}{- 5}$
224847	Simplify	6(4n^2mp^0)	$6 (4 n^{2} m p^{0})$
224848	Solve for r	r = square root of (Gm_1m_2)/F	$r = \sqrt{\frac{G m_{1} m_{2}}{F}}$
224849	Simplify	(2^2)/(2^-7)*2	$\frac{2^{2}}{2^{- 7}} \cdot 2$
224850	Graph	y=2sin(-3theta-pi/2)+2	$y = 2 \sin (- 3 θ - \frac{π}{2}) + 2$
224851	Graph Using a Table of Values	y=4*(1/2)^(x-1)-2	$y = 4 \cdot {(\frac{1}{2})}^{x - 1} - 2$
224852	Solve for b	4.15-7b-48=37.35(-3b-10)	$4.15 - 7 b - 48 = 37.35 (- 3 b - 10)$
224853	Find the Exact Value	square root of square root of 625	$\sqrt{\sqrt{625}}$
224854	Solve for x	5(x-2)-2x=2(x-5)+x	$5 (x - 2) - 2 x = 2 (x - 5) + x$
224855	Solve for x	2(4x+2)-7x=0	$2 (4 x + 2) - 7 x = 0$
224856	Simplify the Radical Expression	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
224857	Solve for x	((10^x)^(2/3))/(10^(1/3))=10	$\frac{{(10^{x})}^{\frac{2}{3}}}{10^{\frac{1}{3}}} = 10$
224858	Solve the Inequality for x	-3x^2+6>x+4	$- 3 x^{2} + 6 > x + 4$
224859	Solve for y	-6=-9/y	$- 6 = - \frac{9}{y}$
224860	Factor	x^2+0x-25	$x^{2} + 0 x - 25$
224861	Simplify	(5ab+4c)(5ab-4c)	$(5 a b + 4 c) (5 a b - 4 c)$
224862	Divide	((3x^5y^3)^5)/((6x^10y^7)^2)	$\frac{{(3 x^{5} y^{3})}^{5}}{{(6 x^{10} y^{7})}^{2}}$
224863	Convert to Interval Notation	-x+3>=1 or 6x+4<-3	$- x + 3 \geq 1$ or $6 x + 4 < - 3$
224864	Expand the Logarithmic Expression	log of ( cube root of x^4z^2)/(y^4)	$\log (\frac{\sqrt[3]{x^{4} z^{2}}}{y^{4}})$
224865	Solve for x	(x^2+x)/5=(3x-1)/4	$\frac{x^{2} + x}{5} = \frac{3 x - 1}{4}$
224866	Simplify	(36e^16f^64)^(1/2)	${(36 e^{16} f^{64})}^{\frac{1}{2}}$
224867	Evaluate the Function	h(0)=10^0	$h (0) = 10^{0}$
224868	Solve by Substitution	x=4y and x+2y=12	$x = 4 y$ and $x + 2 y = 12$
224869	Evaluate	x+x+x+x	$x + x + x + x$
224870	Solve for x	2(2^(3x))=10	$2 (2^{3 x}) = 10$
224871	Simplify	(3t-3)+(6t^2+4t+13)+(-8t^2+11t-1)	$(3 t - 3) + (6 t^{2} + 4 t + 13) + (- 8 t^{2} + 11 t - 1)$
224872	Solve for x	4^(3+x)=25	$4^{3 + x} = 25$
224873	Simplify the Radical Expression	x^(1/3)*x^(2/5)	$x^{\frac{1}{3}} \cdot x^{\frac{2}{5}}$
224874	Graph	y>=x+3 y<=2x-6	$y \geq x + 3$ $y \leq 2 x - 6$
224875	Simplify the Radical Expression	fourth root of (5x)/(8y)	$\sqrt[4]{\frac{5 x}{8 y}}$
224876	Multiply	(3a-b+2c)^2	${(3 a - b + 2 c)}^{2}$
224877	Solve for s	\|5s-10\|>=0	$\| 5 s - 10 \| \geq 0$
224878	Write as a Single Logarithm	2 log base a of z+1+ log base a of 3z+2	$2 \log_{a} (z + 1) + \log_{a} (3 z + 2)$
224879	Find the Exact Value	(pi/2)^2	${(\frac{π}{2})}^{2}$
224880	Simplify	(2x^2+5x+2)/(4x^2-1)*(2x^2+x-1)/(x^2+x-2)	$\frac{2 x^{2} + 5 x + 2}{4 x^{2} - 1} \cdot \frac{2 x^{2} + x - 1}{x^{2} + x - 2}$
224881	Simplify	( square root of 1)^2	${(\sqrt{1})}^{2}$
224882	Simplify the Radical Expression	fourth root of 10^5* cube root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[3]{10}$
224883	Simplify	square root of -64-4 cube root of -125+ cube root of 8	$\sqrt{- 64} - 4 \sqrt[3]{- 125} + \sqrt[3]{8}$
224884	Simplify	(-1)^(3/2)	${(- 1)}^{\frac{3}{2}}$
224885	Determine if Perpendicular	-4y=-2x+8 and 3x-6y=6	$- 4 y = - 2 x + 8$ and $3 x - 6 y = 6$
224886	Simplify	Simplify ( square root of 21+3)( square root of 21+8)	Simplify $(\sqrt{21} + 3) (\sqrt{21} + 8)$
224887	Evaluate	(x^5y^4)/(x^-5y^4)	$\frac{x^{5} y^{4}}{x^{- 5} y^{4}}$
224888	Simplify	5x(X+4)	$5 x (X + 4)$
224889	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3-11x^2-18x+16 is divided by 3x-2	Use the long division method to find the result when $3 x^{3} - 11 x^{2} - 18 x + 16$ is divided by $3 x - 2$
224890	Solve for y	y=-1/2(2)	$y = - \frac{1}{2} (2)$
224891	Evaluate	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
224892	Graph	(3,-255 degrees )	$(3, - 255 °)$
224893	Solve for x	square root of 25-10x+x^2=x-5	$\sqrt{25 - 10 x + x^{2}} = x - 5$
224894	Expand Using the Binomial Theorem	(x+1/(x^2))^6	${(x + \frac{1}{x^{2}})}^{6}$
224895	Solve for a	2/3a+6b=c	$\frac{2}{3} a + 6 b = c$
224896	Find the Roots (Zeros)	3x^2+36=-24x	$3 x^{2} + 36 = - 24 x$
224897	Simplify	( cube root of 8x^5)/( square root of x)	$\frac{\sqrt[3]{8 x^{5}}}{\sqrt{x}}$
224898	Simplify	(5)^0(y)^0	${(5)}^{0} {(y)}^{0}$
224899	Graph	x^2+y^2<=25 y>-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y > - \| x \| + 2$
224900	Solve for x	(x^2+3x+19)(x^2+2)=0	$(x^{2} + 3 x + 19) (x^{2} + 2) = 0$