Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224101	Factor	a^3-9a^2b+ab-9b^2	$a^{3} - 9 a^{2} b + a b - 9 b^{2}$
224102	Solve for t	k=(2(t+3))/(t-3)	$k = \frac{2 (t + 3)}{t - 3}$
224103	Find the x and y Intercepts	f(x)=2(2x+3)(x-5)^2	$f (x) = 2 (2 x + 3) {(x - 5)}^{2}$
224104	Convert to Radical Form	(6py^2)^(1/4)	${(6 p y^{2})}^{\frac{1}{4}}$
224105	Write in Slope-Intercept Form	x+4=4y	$x + 4 = 4 y$
224106	Solve the Inequality for x	8.6<=x-5 4/5	$8.6 \leq x - 5 \frac{4}{5}$
224107	Simplify	( square root of -7)/( square root of 63)	$\frac{\sqrt{- 7}}{\sqrt{63}}$
224108	Solve for x	square root of x=e^(-3x)	$\sqrt{x} = e^{- 3 x}$
224109	Multiply	-6(x^2-2x)	$- 6 (x^{2} - 2 x)$
224110	Find the Domain and Range	y=(2x-11)/(3-5x)	$y = \frac{2 x - 11}{3 - 5 x}$
224111	Simplify	( square root of x^5)/( fourth root of x^3)	$\frac{\sqrt{x^{5}}}{\sqrt[4]{x^{3}}}$
224112	Solve the Inequality for x	y>2x-5	$y > 2 x - 5$
224113	Simplify	(10(bc)^2)/(c square root of 16b^4)	$\frac{10 {(b c)}^{2}}{c \sqrt{16 b^{4}}}$
224114	Factor	x^2=7x	$x^{2} = 7 x$
224115	Find the End Behavior	y=-2x^3+5	$y = - 2 x^{3} + 5$
224116	Solve for x	square root of 3x^2-x square root of 12+2x square root of 75 = square root of 3	$\sqrt{3 x^{2}} - x \sqrt{12} + 2 x \sqrt{75} = \sqrt{3}$
224117	Simplify	(a-3b)/(a^2-3ab)	$\frac{a - 3 b}{a^{2} - 3 a b}$
224118	Simplify	(ab)/( square root of c)	$\frac{a b}{\sqrt{c}}$
224119	Find the Product	(100-x)(100+x)	$(100 - x) (100 + x)$
224120	Rationalize the Denominator	( fourth root of 2x)/( fourth root of 3x^2)	$\frac{\sqrt[4]{2 x}}{\sqrt[4]{3 x^{2}}}$
224121	Solve the System of Equations	y=-2x+5 y=-x^2-5x-2	$y = - 2 x + 5$ $y = - x^{2} - 5 x - 2$
224122	Simplify	2 square root of x5 square root of 6x square root of 2x	$2 \sqrt{x} \cdot 5 \sqrt{6 x} \cdot \sqrt{2 x}$
224123	Solve the Inequality for x	2x^3-18x<x^2-9	$2 x^{3} - 18 x < x^{2} - 9$
224124	Solve the System of Equations	x+7y=5 and -3x-8y=11	$x + 7 y = 5$ and $- 3 x - 8 y = 11$
224125	Solve for w	w(7w-10)+4=0	$w (7 w - 10) + 4 = 0$
224126	Solve the Inequality for x	7/(x+5)<=8/(x+6)	$\frac{7}{x + 5} \leq \frac{8}{x + 6}$
224127	Graph	tan(1x)^(-)	${\tan (1 x)}^{-}$
224128	Simplify	(x+6)/(5x+10)-(x-2)/(4x+8)	$\frac{x + 6}{5 x + 10} - \frac{x - 2}{4 x + 8}$
224129	Divide	(3x^2+12x-5)÷x+5	$(3 x^{2} + 12 x - 5) \div x + 5$
224130	Find the Inverse	f(x)=1/2 cube root of x-3+5	$f (x) = \frac{1}{2} \sqrt[3]{x - 3} + 5$
224131	Subtract	(z^2+3z)-(3z^2+7z+16)-(4z-13)	$(z^{2} + 3 z) - (3 z^{2} + 7 z + 16) - (4 z - 13)$
224132	Divide Using Long Polynomial Division	(3x^4-4x^3+1)÷(3x^3-x^2-x-1)	$(3 x^{4} - 4 x^{3} + 1) \div (3 x^{3} - x^{2} - x - 1)$
224133	Simplify the Radical Expression	cube root of (27x^3)^4	$\sqrt[3]{{(27 x^{3})}^{4}}$
224134	Write the Fraction in Simplest Form	((2p^3k^-3)^-5)/(10k^-6)	$\frac{{(2 p^{3} k^{- 3})}^{- 5}}{10 k^{- 6}}$
224135	Simplify	square root of 15b^3 square root of 30b^6	$\sqrt{15 b^{3}} \sqrt{30 b^{6}}$
224136	Evaluate	(g-3)*6	$(g - 3) \cdot 6$
224137	Combine Like Terms	2/3x-7y+1/3x+2y+5	$\frac{2}{3} x - 7 y + \frac{1}{3} x + 2 y + 5$
224138	Solve the Inequality for x	15>x	$15 > x$
224139	Multiply	3^(5x)*81^(1-x)	$3^{5 x} \cdot 81^{1 - x}$
224140	Evaluate	6(-3-(1+4))+2^5	$6 (- 3 - (1 + 4)) + 2^{5}$
224141	Simplify	(6 square root of 45x^3)/(3 square root of 5x)	$\frac{6 \sqrt{45 x^{3}}}{3 \sqrt{5 x}}$
224142	Evaluate	(3-2i)+(7-3i)	$(3 - 2 i) + (7 - 3 i)$
224143	Find the LCD	2/(7x) and x/(x+7)	$\frac{2}{7 x}$ and $\frac{x}{x + 7}$
224144	Evaluate	15 root of x^10b^15	$\sqrt[15]{x^{10} b^{15}}$
224145	Solve for x	5(1-6x)+1=6x	$5 (1 - 6 x) + 1 = 6 x$
224146	Simplify	2/17(8.6-5.2)	$\frac{2}{17} (8.6 - 5.2)$
224147	Solve the Inequality for x	log base 3 of x>4	$\log_{3} (x) > 4$
224148	Solve for x	10=3 square root of 5x-1-2	$10 = 3 \sqrt{5 x - 1} - 2$
224149	Solve for x	x^2-1/4x-15/64=0	$x^{2} - \frac{1}{4} x - \frac{15}{64} = 0$
224150	Simplify	((2a^4b^6c^2)/(6a^-3b^4c^8))^3	${(\frac{2 a^{4} b^{6} c^{2}}{6 a^{- 3} b^{4} c^{8}})}^{3}$
224151	Evaluate	(45(4)^(3/2))/2-(21(4)^(1/2))/2	$\frac{45 {(4)}^{\frac{3}{2}}}{2} - \frac{21 {(4)}^{\frac{1}{2}}}{2}$
224152	Graph	y>1/4x y<=-x+4	$y > \frac{1}{4} x$ $y \leq - x + 4$
224153	Divide	(-4/5)÷(-16/15)	$- \frac{4}{5} \div (- \frac{16}{15})$
224154	Convert to Logarithmic Form	e^x=x	$e^{x} = x$
224155	Simplify	((2w^3x^-6y^4z)/(8w^-5x^4y^-6z^-3))^-4	${(\frac{2 w^{3} x^{- 6} y^{4} z}{8 w^{- 5} x^{4} y^{- 6} z^{- 3}})}^{- 4}$
224156	Graph	x-6y=6 y=-2/3x+4	$x - 6 y = 6$ $y = - \frac{2}{3} x + 4$
224157	Convert to a Percentage	0.3*100%	$0.3 \cdot 100 %$
224158	Solve for n	-86=4+5(3n-3)	$- 86 = 4 + 5 (3 n - 3)$
224159	Simplify	i^2+i^3+i^4	$i^{2} + i^{3} + i^{4}$
224160	Evaluate Using Scientific Notation	(8.4x10^10)/(3x10^7)	$\frac{8.4 x \cdot 10^{10}}{3 x \cdot 10^{7}}$
224161	Solve by Substitution	x-y=12 27+3y=2x	$x - y = 12$ $27 + 3 y = 2 x$
224162	Simplify	(x^2-2x-8)/(3x^2+9x)*(3x-18)/(x+2)	$\frac{x^{2} - 2 x - 8}{3 x^{2} + 9 x} \cdot \frac{3 x - 18}{x + 2}$
224163	Simplify	(4x^2-1)/(5x-10x^2)	$\frac{4 x^{2} - 1}{5 x - 10 x^{2}}$
224164	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-4) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(- 4, - 4)$ and has a slope of $\frac{5}{4}$ ?
224165	Simplify	(4/(x-2)-x/16)/((x^2)/(2x-4)+(x-2)/4)	$\frac{\frac{4}{x - 2} - \frac{x}{16}}{\frac{x^{2}}{2 x - 4} + \frac{x - 2}{4}}$
224166	Graph	(2,3) , (7,y) , m=-2/5	$(2, 3)$ , $(7, y)$ , $m = - \frac{2}{5}$
224167	Solve for x	-2x+2=(1/3)^x+1	$- 2 x + 2 = {(\frac{1}{3})}^{x} + 1$
224168	Simplify	(v^-3wx^2)/(wy^-6)	$\frac{v^{- 3} w x^{2}}{w y^{- 6}}$
224169	Convert to a Decimal	8rev per s	$8$ revolutions per second
224170	Graph	y>=3x-2 and y<=-4x+2	$y \geq 3 x - 2$ and $y \leq - 4 x + 2$
224171	Simplify	((3x-1)/(x^(2/3)))/(3x^(-2/3))	$\frac{(\frac{3 x - 1}{x^{\frac{2}{3}}})}{3 x^{- \frac{2}{3}}}$
224172	Simplify	( square root of x^3)/( square root of x)	$\frac{\sqrt{x^{3}}}{\sqrt{x}}$
224173	Simplify	cube root of (8y^3)^4 sixth root of (8y^3)^4	$\sqrt[3]{{(8 y^{3})}^{4}} \sqrt[6]{{(8 y^{3})}^{4}}$
224174	Solve the Inequality for x	x<=(5x+1)/5	$x \leq \frac{5 x + 1}{5}$
224175	Solve for x	(x-4)^2=3x-12	${(x - 4)}^{2} = 3 x - 12$
224176	Simplify	12^0xy^0	$12^{0} x y^{0}$
224177	Divide	( square root of 4)/(2 square root of 20)	$\frac{\sqrt{4}}{2 \sqrt{20}}$
224178	Solve for x	x^2+x=7x+16	$x^{2} + x = 7 x + 16$
224179	Simplify	3 square root of 16-5	$3 \sqrt{16} - 5$
224180	Simplify	(x^2+2xy+y^2)(x-2y)	$(x^{2} + 2 x y + y^{2}) (x - 2 y)$
224181	Simplify	((2x^2)/(4y^3))^-3	${(\frac{2 x^{2}}{4 y^{3}})}^{- 3}$
224182	Write as a Single Logarithm	10 log of x+2/3 log of 64	$10 \log (x) + \frac{2}{3} \log (64)$
224183	Evaluate	(1+cos(theta))(tan(theta)-1)=0	$(1 + \cos (θ)) (\tan (θ) - 1) = 0$
224184	Evaluate	8(4)^2+51/3	$8 {(4)}^{2} + \frac{51}{3}$
224185	Write in Standard Form	y=(x-9)^2+2x	$y = {(x - 9)}^{2} + 2 x$
224186	Simplify	(3y)/(y^2-17y+72)+12/(y^2-81)-11/(y^2+y-72)	$\frac{3 y}{y^{2} - 17 y + 72} + \frac{12}{y^{2} - 81} - \frac{11}{y^{2} + y - 72}$
224187	Find the End Behavior	f(x)=(x^2+2)^2+3	$f (x) = {(x^{2} + 2)}^{2} + 3$
224188	Evaluate	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))=csc(theta)sec(theta)	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)} = \csc (θ) \sec (θ)$
224189	Find All Complex Solutions	3x^(16/5)-192x^2=0	$3 x^{\frac{16}{5}} - 192 x^{2} = 0$
224190	Solve Using the Quadratic Formula	1/2x^2-1/2=3/8x	$\frac{1}{2} x^{2} - \frac{1}{2} = \frac{3}{8} x$
224191	Solve the Inequality for x	86<=-4(1-5x)-2x	$86 \leq - 4 (1 - 5 x) - 2 x$
224192	Simplify	6y+3+3x^2-y^2-5x+2x^2+3x+2y	$6 y + 3 + 3 x^{2} - y^{2} - 5 x + 2 x^{2} + 3 x + 2 y$
224193	Graph	-38<=-4x-6<-26	$- 38 \leq - 4 x - 6 < - 26$
224194	Solve for t	-t-4(2t-5)=20	$- t - 4 (2 t - 5) = 20$
224195	Multiply	(x^3-x^2)(x^2+3x+1)	$(x^{3} - x^{2}) (x^{2} + 3 x + 1)$
224196	Simplify	10x^2-10x-6+x+6	$10 x^{2} - 10 x - 6 + x + 6$
224197	Graph	f'(x)	$f' (x)$
224198	Evaluate	pi/2-1/2	$\frac{π}{2} - \frac{1}{2}$
224199	Solve the System of Equations	y=-2x+5 2x+y=5	$y = - 2 x + 5$ $2 x + y = 5$
224200	Simplify the Radical Expression	(-3+ square root of -27)/3	$\frac{- 3 + \sqrt{- 27}}{3}$