Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213801	Simplify	cube root of 648/750	$\sqrt[3]{\frac{648}{750}}$
213802	Find the Domain and Range	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
213803	Simplify the Radical Expression	2 cube root of 9+7 cube root of 9-3 cube root of 9	$2 \sqrt[3]{9} + 7 \sqrt[3]{9} - 3 \sqrt[3]{9}$
213804	Graph	f(x)=(1+x)^(1/x)	$f (x) = {(1 + x)}^{\frac{1}{x}}$
213805	Solve the Inequality for y	20y>-5+18y	$20 y > - 5 + 18 y$
213806	Find the End Behavior	y=-2x^5+4x^4+x^3-x^2-1	$y = - 2 x^{5} + 4 x^{4} + x^{3} - x^{2} - 1$
213807	Factor by Grouping	x^3-x^2	$x^{3} - x^{2}$
213808	Simplify	(2 square root of y-3 square root of 2)(4 square root of y-5 square root of 2)	$(2 \sqrt{y} - 3 \sqrt{2}) (4 \sqrt{y} - 5 \sqrt{2})$
213809	Simplify	5+2(x-4(3x+7(2-x)))	$5 + 2 (x - 4 (3 x + 7 (2 - x)))$
213810	Solve for x	8(x-1)+2/3=2/3	$8 (x - 1) + \frac{2}{3} = \frac{2}{3}$
213811	Find All Complex Solutions	5y^3-3y^2+8y=0	$5 y^{3} - 3 y^{2} + 8 y = 0$
213812	Solve by Addition/Elimination	4y=2x-8 5x-4y=20	$4 y = 2 x - 8$ $5 x - 4 y = 20$
213813	Find the Inverse	f(x)=-( cube root of 4x)/2	$f (x) = - \frac{\sqrt[3]{4 x}}{2}$
213814	Evaluate	log base 2 of 5* log base 5 of 2	$\log_{2} (5) \cdot \log_{5} (2)$
213815	Simplify	cube root of 2x--11 cube root of 2x	$\sqrt[3]{2 x} - - 11 \sqrt[3]{2 x}$
213816	Simplify	(3 square root of 2c)/(5 square root of 10x)	$\frac{3 \sqrt{2 c}}{5 \sqrt{10 x}}$
213817	Find the Exact Value	(4^5*4^-7)÷(4^-2)	$4^{5} \cdot 4^{- 7} \div 4^{- 2}$
213818	Solve for x	x/(x+2)-(1-x)/2=x-1	$\frac{x}{x + 2} - \frac{1 - x}{2} = x - 1$
213819	Solve the Inequality for g	14g>56	$14 g > 56$
213820	Graph Using a Table of Values	y = square root of x-3	$y = \sqrt{x} - 3$
213821	Solve for t	1000=-16t^2+1700	$1000 = - 16 t^{2} + 1700$
213822	Solve for x	2(7(x+3)-8)=54	$2 (7 (x + 3) - 8) = 54$
213823	Evaluate	1e^1	$1 e^{1}$
213824	Solve for u	1.85(u-3)-8=1.25	$1.85 (u - 3) - 8 = 1.25$
213825	Simplify	(14xy^(1/3))/(2x^(3/4)z^-6)	$\frac{14 x y^{\frac{1}{3}}}{2 x^{\frac{3}{4}} z^{- 6}}$
213826	Solve for c	5y=3478-3c	$5 y = 3478 - 3 c$
213827	Simplify	fourth root of 81(x-4)^4	$\sqrt[4]{81 {(x - 4)}^{4}}$
213828	Simplify	5m(5^1)	$5 m (5^{1})$
213829	Solve for y	y(y+4)=-4	$y (y + 4) = - 4$
213830	Simplify	(16x^2y)÷8x	$16 x^{2} y \div 8 x$
213831	Simplify	(-1/2)/((- square root of 3)/2)	$\frac{\frac{- 1}{2}}{\frac{- \sqrt{3}}{2}}$
213832	Solve for p	-9/10p-3=3/5	$- \frac{9}{10} p - 3 = \frac{3}{5}$
213833	Find the x and y Intercepts	f(x) = log base 1/2 of x+3	$f (x) = \log_{\frac{1}{2}} (x) + 3$
213834	Graph	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
213835	Simplify	(4x^2+x-5)-(5x^2-1)	$(4 x^{2} + x - 5) - (5 x^{2} - 1)$
213836	Evaluate	78-(2^4)÷(14-6)*2	$78 - 2^{4} \div (14 - 6) \cdot 2$
213837	Simplify	(2y+4)/(5y)*(10y^2)/(y^2+3y+2)	$\frac{2 y + 4}{5 y} \cdot \frac{10 y^{2}}{y^{2} + 3 y + 2}$
213838	Solve for s	(s+5)/9=16/(s-5)	$\frac{s + 5}{9} = \frac{16}{s - 5}$
213839	Solve for y	2\|y+3\|^2-9\|y+3\|-5=0	$2 {\| y + 3 \|}^{2} - 9 \| y + 3 \| - 5 = 0$
213840	Simplify	4m^-1n^2p^-7	$4 m^{- 1} n^{2} p^{- 7}$
213841	Simplify	square root of 2( square root of 3- square root of 8)	$\sqrt{2} (\sqrt{3} - \sqrt{8})$
213842	Simplify	(x^5)^-3*(x^4)^4	${(x^{5})}^{- 3} \cdot {(x^{4})}^{4}$
213843	Evaluate	7(3x+5)=11-(x+9)	$7 (3 x + 5) = 11 - (x + 9)$
213844	Simplify	((3x^3)^2)/(x^2*x^3)	$\frac{{(3 x^{3})}^{2}}{x^{2} \cdot x^{3}}$
213845	Graph	{X\|x>=-4}	${X \| x \geq - 4}$
213846	Simplify	(2x)1/4	$(2 x) \frac{1}{4}$
213847	Simplify the Radical Expression	fourth root of (3x^6y^5)/(16x^-2y^13)	$\sqrt[4]{\frac{3 x^{6} y^{5}}{16 x^{- 2} y^{13}}}$
213848	Simplify	3(12-5)+8*4	$3 (12 - 5) + 8 \cdot 4$
213849	Solve the System of Equations	7x+y+3z=3 -4x-y-2z=-4 -5x-y-4z=-2	$7 x + y + 3 z = 3$ $- 4 x - y - 2 z = - 4$ $- 5 x - y - 4 z = - 2$
213850	Rationalize the Denominator	square root of x/(8y)	$\sqrt{\frac{x}{8 y}}$
213851	Simplify	-2x-10 from 10x^2+3	$- 2 x - 10$ from $10 x^{2} + 3$
213852	Simplify	(1+1/x)(1-2/(x+1))(1+2/(x-1))	$(1 + \frac{1}{x}) (1 - \frac{2}{x + 1}) (1 + \frac{2}{x - 1})$
213853	Solve for k	(k+5)/7=5/3	$\frac{k + 5}{7} = \frac{5}{3}$
213854	Solve by Addition/Elimination	2x=3y-5 and 5x+6y=28	$2 x = 3 y - 5$ and $5 x + 6 y = 28$
213855	Simplify	cos(theta)sin(theta)(sec(theta)-csc(theta))	$\cos (θ) \sin (θ) (\sec (θ) - \csc (θ))$
213856	Find the Exact Value	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
213857	Solve the System of Inequalities	3x-2y<=-1 x+4y>=-12	$3 x - 2 y \leq - 1$ $x + 4 y \geq - 12$
213858	Factor	4(2x-1)^2(3x-2)+(2x-1)(3x-2)^2	$4 {(2 x - 1)}^{2} (3 x - 2) + (2 x - 1) {(3 x - 2)}^{2}$
213859	Describe the Transformation	y=2 square root of -x+4	$y = 2 \sqrt{- x + 4}$
213860	Simplify	fifth root of 6^2* fifth root of 6^3	$\sqrt[5]{6^{2}} \cdot \sqrt[5]{6^{3}}$
213861	Multiply	fourth root of 8* cube root of 32	$\sqrt[4]{8} \cdot \sqrt[3]{32}$
213862	Solve for d	a=bcd	$a = b c d$
213863	Factor by Grouping	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
213864	Solve for p	log base 4 of 2p^2+3p = log base 4 of p^2+10	$\log_{4} (2 p^{2} + 3 p) = \log_{4} (p^{2} + 10)$
213865	Factor	64x^3+1=0	$64 x^{3} + 1 = 0$
213866	Find the x and y Intercepts	-1/4x-1/3y=12	$- \frac{1}{4} x - \frac{1}{3} y = 12$
213867	Simplify the Radical Expression	20 root of 1/(b*b^7)	$\sqrt[20]{\frac{1}{b \cdot b^{7}}}$
213868	Graph	2x+y<2 x-4y>9	$2 x + y < 2$ $x - 4 y > 9$
213869	Simplify the Radical Expression	( square root of y)/( square root of y- square root of 5)	$\frac{\sqrt{y}}{\sqrt{y} - \sqrt{5}}$
213870	Divide	(20 square root of 45x^4)/(4 square root of 9x)	$\frac{20 \sqrt{45 x^{4}}}{4 \sqrt{9 x}}$
213871	Solve for x	(x-18)/2>=(x-9)/3+5/6	$\frac{x - 18}{2} \geq \frac{x - 9}{3} + \frac{5}{6}$
213872	Factor	2x^4=9x^2	$2 x^{4} = 9 x^{2}$
213873	Simplify	square root of 16x^4* fourth root of 16x^2	$\sqrt{16 x^{4}} \cdot \sqrt[4]{16 x^{2}}$
213874	Simplify	Simplify square root of 48	Simplify $\sqrt{48}$
213875	Write in Standard Form	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
213876	Simplify the Radical Expression	- square root of (y+7)^16	$- \sqrt{{(y + 7)}^{16}}$
213877	Find the Product	k(k-9)	$k (k - 9)$
213878	Simplify	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
213879	Solve the Inequality for x	5/(8x+3)<0	$\frac{5}{8 x + 3} < 0$
213880	Simplify	(5x^3)(-2x^4)(-4x)	$(5 x^{3}) (- 2 x^{4}) (- 4 x)$
213881	Determine if True	cos(x)^2-sin(x)^2=1-2sin(x)^2	$\cos^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$
213882	Solve for y	13y^2+10y-3=5y^2	$13 y^{2} + 10 y - 3 = 5 y^{2}$
213883	Simplify	cube root of x^2* fifth root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[5]{x}$
213884	Solve for x	(1/2)^x=1	${(\frac{1}{2})}^{x} = 1$
213885	Simplify	3/(2x)*(x^3)/3	$\frac{3}{2 x} \cdot \frac{x^{3}}{3}$
213886	Graph	x<0 and y>0	$x < 0$ and $y > 0$
213887	Multiply	2 square root of 5( square root of 6+2)	$2 \sqrt{5} (\sqrt{6} + 2)$
213888	Simplify	3 square root of a^5b^7*2 square root of 5a^7b^3	$3 \sqrt{a^{5} b^{7}} \cdot 2 \sqrt{5 a^{7} b^{3}}$
213889	Evaluate	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
213890	Multiply	square root of 9* square root of 3	$\sqrt{9} \cdot \sqrt{3}$
213891	Evaluate	square root of 7^2+1^2	$\sqrt{7^{2} + 1^{2}}$
213892	Find the Excluded Values	9/(x+6)	$\frac{9}{(x + 6)}$
213893	Solve for B	18+0.08B>=75	$18 + 0.08 B \geq 75$
213894	Evaluate	arcsin(8.3/16)	$\arcsin (\frac{8.3}{16})$
213895	Find All Complex Solutions	t^2-7t+16=t	$t^{2} - 7 t + 16 = t$
213896	Solve the System of Equations	4x-y=6 2x-y/2=4	$4 x - y = 6$ $2 x - \frac{y}{2} = 4$
213897	Simplify	2x^2+3y-2x+5y+2x	$2 x^{2} + 3 y - 2 x + 5 y + 2 x$
213898	Solve the System of Equations	3x-y=6 and -3x+y=-6	$3 x - y = 6$ and $- 3 x + y = - 6$
213899	Find the Excluded Values	6/(t+5)+2/(t-5)=(3t-1)/(t^2-25)	$\frac{6}{t + 5} + \frac{2}{t - 5} = \frac{3 t - 1}{t^{2} - 25}$
213900	Write in Standard Form	3/2x=1/3y+2	$\frac{3}{2} x = \frac{1}{3} y + 2$