Mathway | Popular Problems

Popular Problems

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