Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173201	Simplify	limit as x approaches 1 of (x^2-1)/(x-1)	$lim_{x \to 1} \frac{x^{2} - 1}{x - 1}$
173202	Solve for y	2y(y-9)(y+4)=0	$2 y (y - 9) (y + 4) = 0$
173203	Simplify	(2a-1)(1+2a)	$(2 a - 1) (1 + 2 a)$
173204	Solve for a	u=3b-2a+2 ; for a	$u = 3 b - 2 a + 2$ ; for $a$
173205	Solve for V	V_1^2=V_0^2+2 as	${V_{1}}^{2} = {V_{0}}^{2} + 2$ as
173206	Solve for y	2(y+1)+7=3(y-2)+2y	$2 (y + 1) + 7 = 3 (y - 2) + 2 y$
173207	Simplify	(5/(x+1)+(2x)/(x+3))/(x/(x+1)+7/(x+3))	$\frac{\frac{5}{x + 1} + \frac{2 x}{x + 3}}{\frac{x}{x + 1} + \frac{7}{x + 3}}$
173208	Simplify	(8q+8)/(3q^2-q-14)	$\frac{8 q + 8}{3 q^{2} - q - 14}$
173209	Factor	(64y^2-36)	$(64 y^{2} - 36)$
173210	Solve for x	7-2(4/3x+3)-3=-9/4x	$7 - 2 (\frac{4}{3} x + 3) - 3 = - \frac{9}{4} x$
173211	Solve the Inequality for x	(x^2-9)/(x^2+7x-8)<=0	$\frac{x^{2} - 9}{x^{2} + 7 x - 8} \leq 0$
173212	Solve the Inequality for r	-1.3>=2.9-0.6r	$- 1.3 \geq 2.9 - 0.6 r$
173213	Solve for h	h+20=35-4h	$h + 20 = 35 - 4 h$
173214	Solve for C	105+256C>=1000	$105 + 256 C \geq 1000$
173215	Simplify	(x-2)/2-(x+2)/5	$\frac{x - 2}{2} - \frac{x + 2}{5}$
173216	Simplify	(2x^2+x-21)/(2x^2-3x-9)	$\frac{2 x^{2} + x - 21}{2 x^{2} - 3 x - 9}$
173217	Solve for x	4(x-3)-7(x-4)=6-x	$4 (x - 3) - 7 (x - 4) = 6 - x$
173218	Find the Product	(a-b)(a^2+ab+b^2)	$(a - b) (a^{2} + a b + b^{2})$
173219	Solve the Rational Equation for x	(2x-3)/(x+1)=(x+6)/(x-2)	$\frac{2 x - 3}{x + 1} = \frac{x + 6}{x - 2}$
173220	Solve for x	3x-9x^2+10=0	$3 x - 9 x^{2} + 10 = 0$
173221	Solve for x	x/4+x/6+x/8=1	$\frac{x}{4} + \frac{x}{6} + \frac{x}{8} = 1$
173222	Solve for a	w=a/l	$w = \frac{a}{l}$
173223	Evaluate	(x^2+1)^2+1	${(x^{2} + 1)}^{2} + 1$
173224	Find the Holes in the Graph	f(x)=(3x^2+21x)/(4x+28)	$f (x) = \frac{3 x^{2} + 21 x}{4 x + 28}$
173225	Factor	144+23n^6+9n^12	$144 + 23 n^{6} + 9 n^{12}$
173226	Find the Exact Value	i^5	$i^{5}$
173227	Find the x and y Intercepts	f(x)=(x^2-3x)/(2x^2-3x-9)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} - 3 x - 9}$
173228	Find the Exact Value	1/2-1/3	$\frac{1}{2} - \frac{1}{3}$
173229	Simplify	2(x+2)-x+3(-x-2)-(2x+4)	$2 (x + 2) - x + 3 (- x - 2) - (2 x + 4)$
173230	Solve the Inequality for x	(x-1)/(x-2)<=0	$\frac{x - 1}{x - 2} \leq 0$
173231	Find the Holes in the Graph	f(x)=(2x^2+16x+30)/(5x^2-12x+4)	$f (x) = \frac{2 x^{2} + 16 x + 30}{5 x^{2} - 12 x + 4}$
173232	Solve the Inequality for x	4x-3<-1x+12	$4 x - 3 < - 1 x + 12$
173233	Solve the System of Inequalities	-2>2x-6 and 14>2x-6	$- 2 > 2 x - 6$ and $14 > 2 x - 6$
173234	Factor	(a+b)^2-(b+c)^2	${(a + b)}^{2} - {(b + c)}^{2}$
173235	Find the Discriminant	x^2-18x+45=-4x	$x^{2} - 18 x + 45 = - 4 x$
173236	Find the Roots (Zeros)	6x^2+2x-18=0	$6 x^{2} + 2 x - 18 = 0$
173237	Simplify	(3x)/(x^2-4)-9/(x+2)	$\frac{3 x}{x^{2} - 4} - \frac{9}{x + 2}$
173238	Solve for x	7/x-11=3/(2x)	$\frac{7}{x} - 11 = \frac{3}{2 x}$
173239	Solve by Substitution	y=x -2x-5y=35	$y = x$ $- 2 x - 5 y = 35$
173240	Find the Function	f(x)=4x^3	$f (x) = 4 x^{3}$
173241	Solve for p	3+12(3p+2)=9(p-3)	$3 + 12 (3 p + 2) = 9 (p - 3)$
173242	Find the Holes in the Graph	f(x)=(3x+12)/(x^2+14x+40)	$f (x) = \frac{3 x + 12}{x^{2} + 14 x + 40}$
173243	Find the Exact Value	cos(2*(5pi)/6)	$\cos (2 \cdot \frac{5 π}{6})$
173244	Solve the System of Equations	(x-2)/4-(y-x)/2=x-7 (3x-y)/8-(3y-x)/6=y-13	$\frac{x - 2}{4} - \frac{y - x}{2} = x - 7$ $\frac{3 x - y}{8} - \frac{3 y - x}{6} = y - 13$
173245	Solve for a	6>=-6(a+2)	$6 \geq - 6 (a + 2)$
173246	Find the LCM	6 and 10	$6$ and $10$
173247	Solve for x	23=7/9(6x-36)+9	$23 = \frac{7}{9} (6 x - 36) + 9$
173248	Find the Roots (Zeros)	D(x)=x^4-3x^3+x^2+3x-2	$D (x) = x^{4} - 3 x^{3} + x^{2} + 3 x - 2$
173249	Simplify	cube root of 1/(108y^2)	$\sqrt[3]{\frac{1}{108 y^{2}}}$
173250	Simplify	x/(x*x)	$\frac{x}{x \cdot x}$
173251	Find the Sum and Product of the Roots of the Quadratic Equation	5x^2-x=0	$5 x^{2} - x = 0$
173252	Find the Exact Value	9^(3/2)	$9^{\frac{3}{2}}$
173253	Factor	32x^5y^2z^4+x^2y^4z^3	$32 x^{5} y^{2} z^{4} + x^{2} y^{4} z^{3}$
173254	Simplify	((x^2+4x-5)/(2x^2))÷((x-1)/(4x))	$\frac{x^{2} + 4 x - 5}{2 x^{2}} \div \frac{x - 1}{4 x}$
173255	Graph	y+4=\|x+2\|	$y + 4 = \| x + 2 \|$
173256	Simplify	(5a^4)/(-2(a^4m^-4)^-1)	$\frac{5 a^{4}}{- 2 {(a^{4} m^{- 4})}^{- 1}}$
173257	Evaluate	sin(pi)^2	$\sin^{2} (π)$
173258	Find f(g(x))	f(x)=3x+5 g(x)=x-7	$f (x) = 3 x + 5$ $g (x) = x - 7$
173259	Solve for x	-6=x^2+4x-1	$- 6 = x^{2} + 4 x - 1$
173260	Solve by Factoring	-y+28+y^2=2y+2y^2	$- y + 28 + y^{2} = 2 y + 2 y^{2}$
173261	Solve the System of Inequalities	-12<5-x<17	$- 12 < 5 - x < 17$
173262	Simplify	square root of 3( square root of 3-1)^2	$\sqrt{3 {(\sqrt{3} - 1)}^{2}}$
173263	Find the Holes in the Graph	f(x)=(x^2+x-6)/(x^2-6x+8)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - 6 x + 8}$
173264	Solve for x	log of x+ log of x+3=2 log of x+1	$\log (x) + \log (x + 3) = 2 \log (x + 1)$
173265	Convert to a Decimal	-150deg	$- 150$ degrees
173266	Solve for x	2/(x-3)+x/2=-1/2	$\frac{2}{x - 3} + \frac{x}{2} = - \frac{1}{2}$
173267	Solve the Inequality for x	x^3-x^2-90x>0	$x^{3} - x^{2} - 90 x > 0$
173268	Graph	-3f(x)	$- 3 f (x)$
173269	Find the Domain and Range	f^-1(x) = square root of x+4	$f^{- 1} (x) = \sqrt{x + 4}$
173270	Find the Quadratic Equation Given the Roots	-3 and 5	$- 3$ and $5$
173271	Graph	y=1/3f(x+5)-3	$y = \frac{1}{3} f (x + 5) - 3$
173272	Simplify	(6- square root of 9)/(2(3))	$\frac{6 - \sqrt{9}}{2 (3)}$
173273	Simplify	10*(-6-9i)	$10 \cdot (- 6 - 9 i)$
173274	Solve for x	6.75+3/8x=13 1/4	$6.75 + \frac{3}{8} x = 13 \frac{1}{4}$
173275	Simplify	( square root of a square root of b)/( fifth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[5]{a b}}$
173276	Find the Exact Value	(( square root of 2)/2)^2	${(\frac{\sqrt{2}}{2})}^{2}$
173277	Simplify	6+4x+12x-4	$6 + 4 x + 12 x - 4$
173278	Solve the Inequality for w	-2w<-18	$- 2 w < - 18$
173279	Factor	1/8x^3+8/27	$\frac{1}{8} x^{3} + \frac{8}{27}$
173280	Solve for b	V=1/3b^2h	$V = \frac{1}{3} b^{2} h$
173281	Describe the Transformation	g(x)=4f(x)	$g (x) = 4 f (x)$
173282	Solve the Inequality for x	x(x+3)(5-x)>=0	$x (x + 3) (5 - x) \geq 0$
173283	Solve for x	x+(2x+5)/(x-5)=(3x)/(x-5)	$x + \frac{2 x + 5}{x - 5} = \frac{3 x}{x - 5}$
173284	Simplify	- square root of 25- square root of -96+ square root of 16+ square root of -6	$- \sqrt{25} - \sqrt{- 96} + \sqrt{16} + \sqrt{- 6}$
173285	Simplify	8/(n-2)*(5n+50)/(n+10)	$\frac{8}{n - 2} \cdot \frac{5 n + 50}{n + 10}$
173286	Solve for x	9+4x-4x=6x-10-8	$9 + 4 x - 4 x = 6 x - 10 - 8$
173287	Simplify	(( square root of 2)/2+( square root of 2)/2i)^2	${(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} i)}^{2}$
173288	Solve for x	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
173289	Simplify	((3t^-1)^-3)/(4t^7j)	$\frac{{(3 t^{- 1})}^{- 3}}{4 t^{7} j}$
173290	Solve for x	3(x+2)=-5-2(x-3)	$3 (x + 2) = - 5 - 2 (x - 3)$
173291	Divide	(6x)÷x	$6 x \div x$
173292	Solve for a	-2a+1=-3(a-4)	$- 2 a + 1 = - 3 (a - 4)$
173293	Simplify	((x^2+9x+8)/(x^2))÷((x^2-1)/(x^3+3x^2-4x))	$\frac{x^{2} + 9 x + 8}{x^{2}} \div \frac{x^{2} - 1}{x^{3} + 3 x^{2} - 4 x}$
173294	Solve by Substitution	6x+y=-42 x=y	$6 x + y = - 42$ $x = y$
173295	Solve for x	y-5=m(x-2)	$y - 5 = m (x - 2)$
173296	Simplify	7*(5+30s-45t)	$7 \cdot (5 + 30 s - 45 t)$
173297	Solve for x	(2x+15)^(1/2)=x	${(2 x + 15)}^{\frac{1}{2}} = x$
173298	Simplify	cube root of 250+ cube root of 54+ square root of 72	$\sqrt[3]{250} + \sqrt[3]{54} + \sqrt{72}$
173299	Write in Exponential Form	log base 4 of 1/2=-1/2	$\log_{4} (\frac{1}{2}) = - \frac{1}{2}$
173300	Solve for x	x/(x-1)-1=x/2	$\frac{x}{x - 1} - 1 = \frac{x}{2}$