Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189201	Solve for x	2/(x-2)=x/(x-2)-2	$\frac{2}{x - 2} = \frac{x}{x - 2} - 2$
189202	Write as a Single Logarithm	log base b of 2+2 log base b of 5	$\log_{b} (2) + 2 \log_{b} (5)$
189203	Graph	x/3>=-2	$\frac{x}{3} \geq - 2$
189204	Find the Point-Slope Form	y=2x+1	$y = 2 x + 1$
189205	Graph	p(x)=(x^2-1)(x^2-5x+6)	$p (x) = (x^{2} - 1) (x^{2} - 5 x + 6)$
189206	Find the LCM	3ax+12a , 2bx^2+6bx-8b	$3 a x + 12 a$ , $2 b x^{2} + 6 b x - 8 b$
189207	Simplify	(a-1)/3+(2a)/6+(3a+4)/12	$\frac{a - 1}{3} + \frac{2 a}{6} + \frac{3 a + 4}{12}$
189208	Find the Product	(4x+3y)(4x-3y)	$(4 x + 3 y) (4 x - 3 y)$
189209	Simplify	3a(6a^2-4ab^2)+8a^2b^2-2b^3	$3 a (6 a^{2} - 4 a b^{2}) + 8 a^{2} b^{2} - 2 b^{3}$
189210	Solve the Inequality for x	log base 3 of x-3 log base 3 of 2<=1	$\log_{3} (x) - 3 \log_{3} (2) \leq 1$
189211	Find the Distance Between Two Points	(-4,5) and (4,0)	$(- 4, 5)$ and $(4, 0)$
189212	Simplify	4/(2ab^2)*(ab)/4	$\frac{4}{2 a b^{2}} \cdot \frac{a b}{4}$
189213	Graph	Graph -2x+y=8	Graph $- 2 x + y = 8$
189214	Solve for x	x+ square root of 5=12	$x + \sqrt{5} = 12$
189215	Write in Standard Form	(2x-3)^2=-5	${(2 x - 3)}^{2} = - 5$
189216	Divide	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
189217	Solve the Inequality for z	z-(-7)<5	$z - (- 7) < 5$
189218	Evaluate	f(x)=-3^2	$f (x) = - 3^{2}$
189219	Solve for x	-2(x-6)=x+5	$- 2 (x - 6) = x + 5$
189220	Find the Domain and Range	f(x) = cube root of x-1+2	$f (x) = \sqrt[3]{x - 1} + 2$
189221	Find the Function	f(x)=a*b^x	$f (x) = a \cdot b^{x}$
189222	Simplify	square root of 3a^2b^5 square root of 6ab^7	$\sqrt{3 a^{2} b^{5}} \sqrt{6 a b^{7}}$
189223	Graph	P(x)=x^4-4x^3+3x^2	$P (x) = x^{4} - 4 x^{3} + 3 x^{2}$
189224	Find the Holes in the Graph	f(x)=(8x^2-16x)/(5x^2-20)	$f (x) = \frac{8 x^{2} - 16 x}{5 x^{2} - 20}$
189225	Solve for x	(-x)/4=-9/x	$\frac{- x}{4} = \frac{- 9}{x}$
189226	Find the Function	g(x) = square root of x	$g (x) = \sqrt{x}$
189227	Find the Domain and Range	y=(x-2)(x+2)	$y = (x - 2) (x + 2)$
189228	Evaluate	cube root of 144/y	$\sqrt[3]{\frac{144}{y}}$
189229	Find the Exact Value	(x-y)^2	${(x - y)}^{2}$
189230	Solve for x	-1+\|-9+x\|=11	$- 1 + \| - 9 + x \| = 11$
189231	Simplify	3+2c-4c-9+11c	$3 + 2 c - 4 c - 9 + 11 c$
189232	Find the Distance Between Two Points	(1,-5) and (4,-1)	$(1, - 5)$ and $(4, - 1)$
189233	Expand the Logarithmic Expression	log of (x^5)/( square root of zy)	$\log (\frac{x^{5}}{\sqrt{z} y})$
189234	Simplify	5/(-5i)	$\frac{5}{- 5 i}$
189235	Solve for x	x+20=4x-5	$x + 20 = 4 x - 5$
189236	Find g(f(x))	f(x)=2x+1 g(x)=x^2+5x+10	$f (x) = 2 x + 1$ $g (x) = x^{2} + 5 x + 10$
189237	Find the Exact Value	16 3/2	$16 \frac{3}{2}$
189238	Find the Inverse	y = ninth root of x	$y = \sqrt[9]{x}$
189239	Simplify	e^3*e^9	$e^{3} \cdot e^{9}$
189240	Graph	f(x)>=\|x\|+2	$f (x) \geq \| x \| + 2$
189241	Simplify	(6a^3+7a^2)-(5a^3+9a^2+a)	$(6 a^{3} + 7 a^{2}) - (5 a^{3} + 9 a^{2} + a)$
189242	Simplify	3/(14y)+y/14	$\frac{3}{14 y} + \frac{y}{14}$
189243	Solve by Factoring	x^2=8	$x^{2} = 8$
189244	Graph	19>=3z+1>=-5	$19 \geq 3 z + 1 \geq - 5$
189245	Find the LCM	5 and 10	$5$ and $10$
189246	Solve the System of Equations	-x+2y+z=1 -2x-y-z=3 -3x-4y-3z=5	$- x + 2 y + z = 1$ $- 2 x - y - z = 3$ $- 3 x - 4 y - 3 z = 5$
189247	Simplify	(5^4)/(5^4)	$\frac{5^{4}}{5^{4}}$
189248	Write in Standard Form	log base 4 of x+6+ log base 4 of x+3=1	$\log_{4} (x + 6) + \log_{4} (x + 3) = 1$
189249	Graph	y<x y>4	$y < x$ $y > 4$
189250	Multiply	5-5*5+5	$5 - 5 \cdot 5 + 5$
189251	Solve for x	m-3x=2x+p	$m - 3 x = 2 x + p$
189252	Solve for z	3z^2+12z-20=5z	$3 z^{2} + 12 z - 20 = 5 z$
189253	Find the x and y Intercepts	f(x)=2-3x^3-6x^5-x^6	$f (x) = 2 - 3 x^{3} - 6 x^{5} - x^{6}$
189254	Find the Distance Between Two Points	(9,5) and (4,-7)	$(9, 5)$ and $(4, - 7)$
189255	Evaluate	(16^2)/(4^2)+(4^2)/(8^2)	$\frac{16^{2}}{4^{2}} + \frac{4^{2}}{8^{2}}$
189256	Solve the System of Equations	3y=-1/2x+2 y=-x+9	$3 y = - \frac{1}{2} x + 2$ $y = - x + 9$
189257	Factor	2xy-x^2y-6+3x	$2 x y - x^{2} y - 6 + 3 x$
189258	Solve for p	\|p+3\|>=10	$\| p + 3 \| \geq 10$
189259	Simplify	(2x-3)/(4x^2+5x+1)-(x-4)/(4x^2+5x+1)	$\frac{2 x - 3}{4 x^{2} + 5 x + 1} - \frac{x - 4}{4 x^{2} + 5 x + 1}$
189260	Solve for y	10(8^y)=500	$10 (8^{y}) = 500$
189261	Write the Fraction in Simplest Form	arctan(tan((6pi)/7))	$\arctan (\tan (\frac{6 π}{7}))$
189262	Factor	x^3+1/3x^4+6x+5	$x^{3} + \frac{1}{3} x^{4} + 6 x + 5$
189263	Solve for j	\|j\|=\|2j+3\|	$\| j \| = \| 2 j + 3 \|$
189264	Graph	5f(x)	$5 f (x)$
189265	Solve Using the Quadratic Formula	x/3+3/x=3	$\frac{x}{3} + \frac{3}{x} = 3$
189266	Complete the Square	2x^2-20x=x^2-19	$2 x^{2} - 20 x = x^{2} - 19$
189267	Solve for x	-2(5x+8)=14+6x	$- 2 (5 x + 8) = 14 + 6 x$
189268	Evaluate	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
189269	Find the Area of the Triangle	(0,5) , (3,4) , (2,0)	$(0, 5)$ , $(3, 4)$ , $(2, 0)$
189270	Solve for x	1/(x-7)-6/(x^2-7x)=-(2x)/(x-7)	$\frac{1}{x - 7} - \frac{6}{x^{2} - 7 x} = - \frac{2 x}{x - 7}$
189271	Solve for b	A=1/2b*h	$A = \frac{1}{2} b \cdot h$
189272	Solve by Completing the Square	x^2+2x-7=8x	$x^{2} + 2 x - 7 = 8 x$
189273	Find the Distance Between Two Points	(-9,7) and (0,-5)	$(- 9, 7)$ and $(0, - 5)$
189274	Find the Exact Value	cot(600 degrees )	$\cot (600 °)$
189275	Find the Domain and Range	F(x)=(2x^2-5)/(x^2)	$F (x) = \frac{2 x^{2} - 5}{x^{2}}$
189276	Simplify	1/4*3	$\frac{1}{4} \cdot 3$
189277	Find the Directrix	x+y^2=0	$x + y^{2} = 0$
189278	Solve for w	30w-25=9w^2	$30 w - 25 = 9 w^{2}$
189279	Evaluate	(2^710^18)/(4^120.04^-9)	$\frac{2^{7} \cdot 10^{18}}{4^{12} \cdot {0.04}^{- 9}}$
189280	Solve for m	y=mx^2-5x-2	$y = m x^{2} - 5 x - 2$
189281	Graph	-2<=4+x	$- 2 \leq 4 + x$
189282	Simplify	2*(b^2-b+7)-(b^2+b+8)	$2 \cdot (b^{2} - b + 7) - (b^{2} + b + 8)$
189283	Solve for r	5(r-10)=-51	$5 (r - 10) = - 51$
189284	Solve for x	1-1/x-2/(x^2)=0	$1 - \frac{1}{x} - \frac{2}{x^{2}} = 0$
189285	Solve the Inequality for x	((x^2+1)(x-2))/((x-1)(x+1))>=0	$\frac{(x^{2} + 1) (x - 2)}{(x - 1) (x + 1)} \geq 0$
189286	Solve for m	12=\|m+8\|	$12 = \| m + 8 \|$
189287	Solve the Inequality for θ	sin(theta)>0	$\sin (θ) > 0$
189288	Solve for x	1/(2x)+1/(3x)=1	$\frac{1}{2 x} + \frac{1}{3 x} = 1$
189289	Evaluate	csc(330 degrees )	$\csc (330 °)$
189290	Find the x and y Intercepts	g(x)=-5^x+5	$g (x) = - 5^{x} + 5$
189291	Find the Distance Between Two Points	(-7,-8) and (-4,0)	$(- 7, - 8)$ and $(- 4, 0)$
189292	Simplify	(1/5)^0	${(\frac{1}{5})}^{0}$
189293	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2-25)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} - 25}$
189294	Find the Roots (Zeros)	y=x^2-3	$y = x^{2} - 3$
189295	Solve the Inequality for x	x/3<=-6	$\frac{x}{3} \leq - 6$
189296	Find the Distance Between Two Points	(-8,6) and (-6,0)	$(- 8, 6)$ and $(- 6, 0)$
189297	Simplify/Condense	natural log of u+ natural log of v+5 natural log of w	$\ln (u) + \ln (v) + 5 \ln (w)$
189298	Simplify	(a^2-2b)^2	${(a^{2} - 2 b)}^{2}$
189299	Find All Complex Solutions	square root of x^2=x	$\sqrt{x^{2}} = x$
189300	Evaluate	(1-2x)^3	${(1 - 2 x)}^{3}$