Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189201	Divide	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
189202	Solve the Inequality for z	z-(-7)<5	$z - (- 7) < 5$
189203	Evaluate	f(x)=-3^2	$f (x) = - 3^{2}$
189204	Solve for x	-2(x-6)=x+5	$- 2 (x - 6) = x + 5$
189205	Find the Domain and Range	f(x) = cube root of x-1+2	$f (x) = \sqrt[3]{x - 1} + 2$
189206	Find the Function	f(x)=a*b^x	$f (x) = a \cdot b^{x}$
189207	Simplify	square root of 3a^2b^5 square root of 6ab^7	$\sqrt{3 a^{2} b^{5}} \sqrt{6 a b^{7}}$
189208	Graph	P(x)=x^4-4x^3+3x^2	$P (x) = x^{4} - 4 x^{3} + 3 x^{2}$
189209	Find the Holes in the Graph	f(x)=(8x^2-16x)/(5x^2-20)	$f (x) = \frac{8 x^{2} - 16 x}{5 x^{2} - 20}$
189210	Solve for x	(-x)/4=-9/x	$\frac{- x}{4} = \frac{- 9}{x}$
189211	Find the Function	g(x) = square root of x	$g (x) = \sqrt{x}$
189212	Find the Domain and Range	y=(x-2)(x+2)	$y = (x - 2) (x + 2)$
189213	Evaluate	cube root of 144/y	$\sqrt[3]{\frac{144}{y}}$
189214	Find the Exact Value	(x-y)^2	${(x - y)}^{2}$
189215	Solve for x	-1+\|-9+x\|=11	$- 1 + \| - 9 + x \| = 11$
189216	Simplify	3+2c-4c-9+11c	$3 + 2 c - 4 c - 9 + 11 c$
189217	Find the Distance Between Two Points	(1,-5) and (4,-1)	$(1, - 5)$ and $(4, - 1)$
189218	Expand the Logarithmic Expression	log of (x^5)/( square root of zy)	$\log (\frac{x^{5}}{\sqrt{z} y})$
189219	Simplify	5/(-5i)	$\frac{5}{- 5 i}$
189220	Solve for x	x+20=4x-5	$x + 20 = 4 x - 5$
189221	Find g(f(x))	f(x)=2x+1 g(x)=x^2+5x+10	$f (x) = 2 x + 1$ $g (x) = x^{2} + 5 x + 10$
189222	Find the Exact Value	16 3/2	$16 \frac{3}{2}$
189223	Find the Inverse	y = ninth root of x	$y = \sqrt[9]{x}$
189224	Simplify	e^3*e^9	$e^{3} \cdot e^{9}$
189225	Graph	f(x)>=\|x\|+2	$f (x) \geq \| x \| + 2$
189226	Simplify	(6a^3+7a^2)-(5a^3+9a^2+a)	$(6 a^{3} + 7 a^{2}) - (5 a^{3} + 9 a^{2} + a)$
189227	Simplify	3/(14y)+y/14	$\frac{3}{14 y} + \frac{y}{14}$
189228	Solve by Factoring	x^2=8	$x^{2} = 8$
189229	Graph	19>=3z+1>=-5	$19 \geq 3 z + 1 \geq - 5$
189230	Find the LCM	5 and 10	$5$ and $10$
189231	Solve the System of Equations	-x+2y+z=1 -2x-y-z=3 -3x-4y-3z=5	$- x + 2 y + z = 1$ $- 2 x - y - z = 3$ $- 3 x - 4 y - 3 z = 5$
189232	Simplify	(5^4)/(5^4)	$\frac{5^{4}}{5^{4}}$
189233	Write in Standard Form	log base 4 of x+6+ log base 4 of x+3=1	$\log_{4} (x + 6) + \log_{4} (x + 3) = 1$
189234	Graph	y<x y>4	$y < x$ $y > 4$
189235	Multiply	5-5*5+5	$5 - 5 \cdot 5 + 5$
189236	Solve for x	m-3x=2x+p	$m - 3 x = 2 x + p$
189237	Solve for z	3z^2+12z-20=5z	$3 z^{2} + 12 z - 20 = 5 z$
189238	Find the x and y Intercepts	f(x)=2-3x^3-6x^5-x^6	$f (x) = 2 - 3 x^{3} - 6 x^{5} - x^{6}$
189239	Find the Distance Between Two Points	(9,5) and (4,-7)	$(9, 5)$ and $(4, - 7)$
189240	Evaluate	(16^2)/(4^2)+(4^2)/(8^2)	$\frac{16^{2}}{4^{2}} + \frac{4^{2}}{8^{2}}$
189241	Solve the System of Equations	3y=-1/2x+2 y=-x+9	$3 y = - \frac{1}{2} x + 2$ $y = - x + 9$
189242	Factor	2xy-x^2y-6+3x	$2 x y - x^{2} y - 6 + 3 x$
189243	Solve for p	\|p+3\|>=10	$\| p + 3 \| \geq 10$
189244	Simplify	(2x-3)/(4x^2+5x+1)-(x-4)/(4x^2+5x+1)	$\frac{2 x - 3}{4 x^{2} + 5 x + 1} - \frac{x - 4}{4 x^{2} + 5 x + 1}$
189245	Solve for y	10(8^y)=500	$10 (8^{y}) = 500$
189246	Write the Fraction in Simplest Form	arctan(tan((6pi)/7))	$\arctan (\tan (\frac{6 π}{7}))$
189247	Factor	x^3+1/3x^4+6x+5	$x^{3} + \frac{1}{3} x^{4} + 6 x + 5$
189248	Solve for j	\|j\|=\|2j+3\|	$\| j \| = \| 2 j + 3 \|$
189249	Graph	5f(x)	$5 f (x)$
189250	Solve Using the Quadratic Formula	x/3+3/x=3	$\frac{x}{3} + \frac{3}{x} = 3$
189251	Complete the Square	2x^2-20x=x^2-19	$2 x^{2} - 20 x = x^{2} - 19$
189252	Solve for x	-2(5x+8)=14+6x	$- 2 (5 x + 8) = 14 + 6 x$
189253	Evaluate	(-x^2+2x)-(x^2-2x)	$(- x^{2} + 2 x) - (x^{2} - 2 x)$
189254	Find the Area of the Triangle	(0,5) , (3,4) , (2,0)	$(0, 5)$ , $(3, 4)$ , $(2, 0)$
189255	Solve for x	1/(x-7)-6/(x^2-7x)=-(2x)/(x-7)	$\frac{1}{x - 7} - \frac{6}{x^{2} - 7 x} = - \frac{2 x}{x - 7}$
189256	Solve for b	A=1/2b*h	$A = \frac{1}{2} b \cdot h$
189257	Solve by Completing the Square	x^2+2x-7=8x	$x^{2} + 2 x - 7 = 8 x$
189258	Find the Distance Between Two Points	(-9,7) and (0,-5)	$(- 9, 7)$ and $(0, - 5)$
189259	Find the Exact Value	cot(600 degrees )	$\cot (600 °)$
189260	Find the Domain and Range	F(x)=(2x^2-5)/(x^2)	$F (x) = \frac{2 x^{2} - 5}{x^{2}}$
189261	Simplify	1/4*3	$\frac{1}{4} \cdot 3$
189262	Find the Directrix	x+y^2=0	$x + y^{2} = 0$
189263	Solve for w	30w-25=9w^2	$30 w - 25 = 9 w^{2}$
189264	Evaluate	(2^710^18)/(4^120.04^-9)	$\frac{2^{7} \cdot 10^{18}}{4^{12} \cdot {0.04}^{- 9}}$
189265	Solve for m	y=mx^2-5x-2	$y = m x^{2} - 5 x - 2$
189266	Graph	-2<=4+x	$- 2 \leq 4 + x$
189267	Simplify	2*(b^2-b+7)-(b^2+b+8)	$2 \cdot (b^{2} - b + 7) - (b^{2} + b + 8)$
189268	Solve for r	5(r-10)=-51	$5 (r - 10) = - 51$
189269	Solve for x	1-1/x-2/(x^2)=0	$1 - \frac{1}{x} - \frac{2}{x^{2}} = 0$
189270	Solve the Inequality for x	((x^2+1)(x-2))/((x-1)(x+1))>=0	$\frac{(x^{2} + 1) (x - 2)}{(x - 1) (x + 1)} \geq 0$
189271	Solve for m	12=\|m+8\|	$12 = \| m + 8 \|$
189272	Solve the Inequality for θ	sin(theta)>0	$\sin (θ) > 0$
189273	Solve for x	1/(2x)+1/(3x)=1	$\frac{1}{2 x} + \frac{1}{3 x} = 1$
189274	Evaluate	csc(330 degrees )	$\csc (330 °)$
189275	Find the x and y Intercepts	g(x)=-5^x+5	$g (x) = - 5^{x} + 5$
189276	Find the Distance Between Two Points	(-7,-8) and (-4,0)	$(- 7, - 8)$ and $(- 4, 0)$
189277	Simplify	(1/5)^0	${(\frac{1}{5})}^{0}$
189278	Simplify	(x^2-11x+30)/(x^2-4)*(x-2)/(x^2-25)	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \cdot \frac{x - 2}{x^{2} - 25}$
189279	Find the Roots (Zeros)	y=x^2-3	$y = x^{2} - 3$
189280	Solve the Inequality for x	x/3<=-6	$\frac{x}{3} \leq - 6$
189281	Find the Distance Between Two Points	(-8,6) and (-6,0)	$(- 8, 6)$ and $(- 6, 0)$
189282	Simplify/Condense	natural log of u+ natural log of v+5 natural log of w	$\ln (u) + \ln (v) + 5 \ln (w)$
189283	Simplify	(a^2-2b)^2	${(a^{2} - 2 b)}^{2}$
189284	Find All Complex Solutions	square root of x^2=x	$\sqrt{x^{2}} = x$
189285	Evaluate	(1-2x)^3	${(1 - 2 x)}^{3}$
189286	Combine Like Terms	(5x+1)(5x-1)	$(5 x + 1) (5 x - 1)$
189287	Simplify	(4^3*3^10)/(6^10)	$\frac{4^{3} \cdot 3^{10}}{6^{10}}$
189288	Simplify	-3i+(3/4+2i)-(9/3+3i)	$- 3 i + (\frac{3}{4} + 2 i) - (\frac{9}{3} + 3 i)$
189289	Simplify	1/(12/13)	$\frac{1}{\frac{12}{13}}$
189290	Simplify	((x+6)/5+1/x)/(5/x+25/(x^2))	$\frac{\frac{x + 6}{5} + \frac{1}{x}}{\frac{5}{x} + \frac{25}{x^{2}}}$
189291	Evaluate Using the Given Value	p^2+m ; use m=1 ; and p=5	$p^{2} + m$ ; use $m = 1$ ; and $p = 5$
189292	Find the Distance Between Two Points	(2,8) and (-3,-4)	$(2, 8)$ and $(- 3, - 4)$
189293	Simplify	limit as x approaches 5 of (x^2-25)/(x-5)	$lim_{x \to 5} \frac{x^{2} - 25}{x - 5}$
189294	Simplify	(1/x-x/25)/((x^2)/25+x/5)	$\frac{\frac{1}{x} - \frac{x}{25}}{\frac{x^{2}}{25} + \frac{x}{5}}$
189295	Find the Roots (Zeros)	2x^2+10x=3x+15	$2 x^{2} + 10 x = 3 x + 15$
189296	Solve for x	x^2+4=8x+5	$x^{2} + 4 = 8 x + 5$
189297	Solve the System of Inequalities	5a<-35 or a-14>1	$5 a < - 35$ or $a - 14 > 1$
189298	Factor	35a^2-20ab^2+15a	$35 a^{2} - 20 a b^{2} + 15 a$
189299	Graph	f(x)=1/2sin(x)	$f (x) = \frac{1}{2} \sin (x)$
189300	Solve for x	1+1/(x-6)=7/(x^2-5x-6)	$1 + \frac{1}{x - 6} = \frac{7}{x^{2} - 5 x - 6}$