Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198201	Find the LCD	1/(4x+16) and 9/(2x)	$\frac{1}{4 x + 16}$ and $\frac{9}{2 x}$
198202	Graph	y=(x-h)^2-k	$y = {(x - h)}^{2} - k$
198203	Evaluate	24+\|2-4\|	$24 + \| 2 - 4 \|$
198204	Graph	y=H(x)+2	$y = H (x) + 2$
198205	Solve Using the Quadratic Formula	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
198206	Solve for x	2/5+4/(10x+5)=7/(2x+1)	$\frac{2}{5} + \frac{4}{10 x + 5} = \frac{7}{2 x + 1}$
198207	Divide	(3x^4-7x^3+6x^2-x-1)÷(x^2-x+2)	$(3 x^{4} - 7 x^{3} + 6 x^{2} - x - 1) \div (x^{2} - x + 2)$
198208	Evaluate	f(-x)=3x^2+3x-3	$f (- x) = 3 x^{2} + 3 x - 3$
198209	Simplify	i^38*i^9	$i^{38} \cdot i^{9}$
198210	Find the Holes in the Graph	(-3x^2+75)/(5x^2+35x+50)	$\frac{- 3 x^{2} + 75}{5 x^{2} + 35 x + 50}$
198211	Simplify	(x/(x-2)+1)/(3/(x^2-4)+1)	$\frac{\frac{x}{x - 2} + 1}{\frac{3}{x^{2} - 4} + 1}$
198212	Solve for a	y=a(b)^x	$y = a {(b)}^{x}$
198213	Find All Complex Solutions	tan(x)^2-sec(x)=1	$\tan^{2} (x) - \sec (x) = 1$
198214	Simplify	(a^3b^45^4)/(b^2*5)	$\frac{a^{3} \cdot b^{4} \cdot 5^{4}}{b^{2} \cdot 5}$
198215	Simplify	((x^2-x-12)/(3x+9))÷((x^2+x-20)/(x+5))	$\frac{x^{2} - x - 12}{3 x + 9} \div \frac{x^{2} + x - 20}{x + 5}$
198216	Solve for w	9 log base 6 of 5w+6+3=30	$9 \log_{6} (5 w + 6) + 3 = 30$
198217	Multiply	x^3*1/x	$x^{3} \cdot \frac{1}{x}$
198218	Evaluate	(f/g)(4)	$(\frac{f}{g}) (4)$
198219	Find the Roots (Zeros)	x^3+x^2-3x+1=0	$x^{3} + x^{2} - 3 x + 1 = 0$
198220	Simplify	5/(6x-2y)-3/(9x-3y)	$\frac{5}{6 x - 2 y} - \frac{3}{9 x - 3 y}$
198221	Solve for x	-4.9x=x-(6.9x+4)-3.9	$- 4.9 x = x - (6.9 x + 4) - 3.9$
198222	Graph	r(x)=-1/4x^5	$r (x) = - \frac{1}{4} x^{5}$
198223	Solve Using the Quadratic Formula	6x^(2/3)-x^(1/3)=12	$6 x^{\frac{2}{3}} - x^{\frac{1}{3}} = 12$
198224	Find the Distance Between Two Points	(-3,-4) and (-7,-9)	$(- 3, - 4)$ and $(- 7, - 9)$
198225	Find All Complex Solutions	3sec(theta)+1=7	$3 \sec (θ) + 1 = 7$
198226	Find the Equation Using Point-Slope Formula	through: (1,2) , slope=7	through: $(1, 2)$ , $s l o p e = 7$
198227	Factor	(2x+5)(x-4)-(x-4)(5x+2)	$(2 x + 5) (x - 4) - (x - 4) (5 x + 2)$
198228	Find Where Undefined/Discontinuous	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
198229	Find the Holes in the Graph	f(x)=(3-14x-5x^2)/(3+7x+2x^2)	$f (x) = \frac{3 - 14 x - 5 x^{2}}{3 + 7 x + 2 x^{2}}$
198230	Write the Fraction in Simplest Form	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
198231	Solve for x	(2x)/(x-1)-2=3/(x+1)	$\frac{2 x}{x - 1} - 2 = \frac{3}{x + 1}$
198232	Simplify	x1/3(x1/2+2x^2)	$x \frac{1}{3} (x \frac{1}{2} + 2 x^{2})$
198233	Factor	x^2+3x(x+3y)+2(x+3y)^2	$x^{2} + 3 x (x + 3 y) + 2 {(x + 3 y)}^{2}$
198234	Solve for x	9^(3x+1)=27^3	$9^{3 x + 1} = 27^{3}$
198235	Solve the Inequality for x	x^3-x^2-72x>0	$x^{3} - x^{2} - 72 x > 0$
198236	Solve for c	15c^2-16c+3=-c^2	$15 c^{2} - 16 c + 3 = - c^{2}$
198237	Solve for a	1/2\|9a+3\|-1=3a-7	$\frac{1}{2} \| 9 a + 3 \| - 1 = 3 a - 7$
198238	Convert to Interval Notation	-7/(x+5)<=-8/(x+6)	$- \frac{7}{x + 5} \leq - \frac{8}{x + 6}$
198239	Write the Fraction in Simplest Form	-9/14+2/7	$- \frac{9}{14} + \frac{2}{7}$
198240	Solve for x	2/(x+6)+(3x+7)/(x-6)=(2x+1)/(x-6)	$\frac{2}{x + 6} + \frac{3 x + 7}{x - 6} = \frac{2 x + 1}{x - 6}$
198241	Solve for q	2q^2-16q=-73	$2 q^{2} - 16 q = - 73$
198242	Find the Excluded Values	(x^2-64)/(x^2)*(x^2-8x)/(x^2+2x-80)	$\frac{x^{2} - 64}{x^{2}} \cdot \frac{x^{2} - 8 x}{x^{2} + 2 x - 80}$
198243	Simplify	36 root of (m^-8)/(m^4)	$\sqrt[36]{\frac{m^{- 8}}{m^{4}}}$
198244	Find the Exact Value	sin(pi/12)cos((2pi)/3)+cos(pi/12)sin((2pi)/3)	$\sin (\frac{π}{12}) \cos (\frac{2 π}{3}) + \cos (\frac{π}{12}) \sin (\frac{2 π}{3})$
198245	Find the Excluded Values	(4x-32)/(x^2-64)	$\frac{4 x - 32}{x^{2} - 64}$
198246	Solve for v	15^(3v-5)=87	$15^{3 v - 5} = 87$
198247	Solve for w	square root of w=4	$\sqrt{w} = 4$
198248	Solve for w	3(2w+5)=-9(2w+4)	$3 (2 w + 5) = - 9 (2 w + 4)$
198249	Solve the Inequality for x	x^3-8x^2<0	$x^{3} - 8 x^{2} < 0$
198250	Find the Domain and Range	g(x)=-(4)^(2x-3)+1	$g (x) = - {(4)}^{2 x - 3} + 1$
198251	Evaluate	-(2/3)^-1	$- {(\frac{2}{3})}^{- 1}$
198252	Solve for x	log base 7 of x>=2	$\log_{7} (x) \geq 2$
198253	Simplify	((x^2+8x)/(x^2+11x+24))÷((x-3)/(x^2-9))	$\frac{x^{2} + 8 x}{(x^{2} + 11 x + 24)} \div \frac{(x - 3)}{(x^{2} - 9)}$
198254	Simplify	(x^2-5x+4)/(4+3x-x^2)	$\frac{x^{2} - 5 x + 4}{4 + 3 x - x^{2}}$
198255	Factor	6-9x^2+12y-18x^2y	$6 - 9 x^{2} + 12 y - 18 x^{2} y$
198256	Graph	f(x)=x^2,x<=0; square root of x,0=4	$f (x) = {\begin{cases} x^{2}, x \leq 0 \\ \sqrt{x}, 0 = 4 \end{cases}$
198257	Solve for x	7+x+2=9+3	$7 + x + 2 = 9 + 3$
198258	Graph	3x+15>=0	$3 x + 15 \geq 0$
198259	Solve for x	4/(x+4)=8/(2x+8)-3	$\frac{4}{x + 4} = \frac{8}{2 x + 8} - 3$
198260	Find the Distance Between Two Points	(0,0) and (12,-5)	$(0, 0)$ and $(12, - 5)$
198261	Simplify	( square root of x+1)^2-1	${(\sqrt{x + 1})}^{2} - 1$
198262	Solve for x	2/(3x-6)-1/(3x+6)=1/3	$\frac{2}{3 x - 6} - \frac{1}{3 x + 6} = \frac{1}{3}$
198263	Simplify	(4y^2+16y-468)/(567-7y^2)	$\frac{4 y^{2} + 16 y - 468}{567 - 7 y^{2}}$
198264	Simplify	((12xy)/(z^3w))÷((20x^2y^3)/(6z^2w^4))	$\frac{12 x y}{z^{3} w} \div \frac{20 x^{2} y^{3}}{6 z^{2} w^{4}}$
198265	Find All Complex Solutions	4sin(x)^2=3	$4 \sin^{2} (x) = 3$
198266	Solve for x	3x^2+x-5=x+5	$3 x^{2} + x - 5 = x + 5$
198267	Simplify	8+3(x-2(x+5(x+3)))	$8 + 3 (x - 2 (x + 5 (x + 3)))$
198268	Simplify	-( square root of 2)/( square root of 2)	$- \frac{\sqrt{2}}{\sqrt{2}}$
198269	Simplify	(c+d)/(3c^2-3d^2)	$\frac{c + d}{3 c^{2} - 3 d^{2}}$
198270	Simplify	((2p)/(q^2))^5((3p^7)/(q^-7))^-1	${(\frac{2 p}{q^{2}})}^{5} {(\frac{3 p^{7}}{q^{- 7}})}^{- 1}$
198271	Solve the System of Inequalities	(m-2)/3<=-4 OR 3m-8>4	$\frac{m - 2}{3} \leq - 4$ OR $3 m - 8 > 4$
198272	Solve the Inequality for a	a(a-1)-(a^2+a)<34	$a (a - 1) - (a^{2} + a) < 34$
198273	Graph	(2,2) and (4,5)	$(2, 2)$ and $(4, 5)$
198274	Simplify	(3+1/2)/(3-1/2)	$\frac{3 + \frac{1}{2}}{3 - \frac{1}{2}}$
198275	Find the x and y Intercepts	f(x)=\|x-1\|+2	$f (x) = \| x - 1 \| + 2$
198276	Simplify	(-8u^2-8u+29)/(-3u+7)+(-8u^2+7u-6)/(3u-7)	$\frac{- 8 u^{2} - 8 u + 29}{- 3 u + 7} + \frac{- 8 u^{2} + 7 u - 6}{3 u - 7}$
198277	Find All Complex Solutions	\|7x+21\|=14x	$\| 7 x + 21 \| = 14 x$
198278	Graph	(1,1/2)	$(1, \frac{1}{2})$
198279	Solve the Inequality for x	6x-9y>12	$6 x - 9 y > 12$
198280	Solve for x	\|2x-1\| = square root of x+3	$\| 2 x - 1 \| = \sqrt{x} + 3$
198281	Convert to Interval Notation	x<=61 or x>=67	$x \leq 61$ or $x \geq 67$
198282	Evaluate	b^2-4ac<0	$b^{2} - 4 a c < 0$
198283	Simplify	2m-1/m	$2 m - \frac{1}{m}$
198284	Graph	AA	$A \cdot A$
198285	Find the Function	f(x)=x^3+x	$f (x) = x^{3} + x$
198286	Write in Standard Form	(a+b)^2	${(a + b)}^{2}$
198287	Solve the System of Equations	y=x^2-6x+6 y-x=-4	$y = x^{2} - 6 x + 6$ $y - x = - 4$
198288	Solve for k	18>=5k+4k	$18 \geq 5 k + 4 k$
198289	Solve for x	x-5/3=1	$x - \frac{5}{3} = 1$
198290	Evaluate	2x^2-y^1+3x^0	$2 x^{2} - y^{1} + 3 x^{0}$
198291	Simplify	8+(9t+4)	$8 + (9 t + 4)$
198292	Find the Distance Between Two Points	(8,-7) and (1,-1)	$(8, - 7)$ and $(1, - 1)$
198293	Graph	3(x+3)-2<4 or 1-x<=-1	$3 (x + 3) - 2 < 4$ or $1 - x \leq - 1$
198294	Solve for a	S=a+(n-1)d	$S = a + (n - 1) d$
198295	Find the Domain and Range	r(x)=(x^2-4x-5)/(x+1)	$r (x) = \frac{x^{2} - 4 x - 5}{x + 1}$
198296	Solve for P	(x-2)^2(x+1)+3(x-2)(x+1)=(x-2)P	${(x - 2)}^{2} (x + 1) + 3 (x - 2) (x + 1) = (x - 2) P$
198297	Simplify	3/(7z)-6/(49yz^4)	$\frac{3}{7 z} - \frac{6}{49 y z^{4}}$
198298	Solve the System of Equations	x^3+6x^2+11x+6=0 , x=-3	$x^{3} + 6 x^{2} + 11 x + 6 = 0$ , $x = - 3$
198299	Factor	P(x)=x^3+3x^2-9x-27	$P (x) = x^{3} + 3 x^{2} - 9 x - 27$
198300	Solve the Inequality for x	7x>1-4(1/4x+1)	$7 x > 1 - 4 (\frac{1}{4} x + 1)$