Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169201	Graph	y=4 log base 3 of -x-3	$y = 4 \log_{3} (- x - 3)$
169202	Simplify	(5 cube root of x+5)( cube root of x+1)	$(5 \sqrt[3]{x} + 5) (\sqrt[3]{x} + 1)$
169203	Find the x and y Intercepts	f(x)=(x^2-25)/(2x^2+13x+15)	$f (x) = \frac{x^{2} - 25}{2 x^{2} + 13 x + 15}$
169204	Simplify the Radical Expression	(8^(2/3))^4	${(8^{\frac{2}{3}})}^{4}$
169205	Find the Roots (Zeros)	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
169206	Find the Holes in the Graph	f(x)=(x-2)/(x-4)	$f (x) = \frac{x - 2}{x - 4}$
169207	Solve for c	-1/4=-1/6-1/2c	$- \frac{1}{4} = - \frac{1}{6} - \frac{1}{2} c$
169208	Find the Roots (Zeros)	f(x)=x/(9x^2-4)	$f (x) = \frac{x}{9 x^{2} - 4}$
169209	Graph	r=3+sin(theta)	$r = 3 + \sin (θ)$
169210	Solve the System of Equations	y=1.5x-4 y=-x	$y = 1.5 x - 4$ $y = - x$
169211	Solve by Completing the Square	12x=13-x^2	$12 x = 13 - x^{2}$
169212	Simplify	(y^8)/(x^-3x^7y^6)	$\frac{y^{8}}{x^{- 3} x^{7} y^{6}}$
169213	Solve for c	-5c+6=1/3c-26	$- 5 c + 6 = \frac{1}{3} c - 26$
169214	Solve for x	9=-7x+7x^2	$9 = - 7 x + 7 x^{2}$
169215	Simplify	x-2>0	$x - 2 > 0$
169216	Find the Product	(5x^2-4x+6)(-2x+3)	$(5 x^{2} - 4 x + 6) (- 2 x + 3)$
169217	Simplify	(-2(x^-2)^4)/(-2x^-10)	$\frac{- 2 {(x^{- 2})}^{4}}{- 2 x^{- 10}}$
169218	Write in Slope-Intercept Form	y+4=-1/2(x+2)	$y + 4 = - \frac{1}{2} (x + 2)$
169219	Solve for x	48+8x+23=7	$48 + 8 x + 23 = 7$
169220	Evaluate	2*2pi	$2 \cdot 2 π$
169221	Find the Roots (Zeros)	4x^2+21=-20x	$4 x^{2} + 21 = - 20 x$
169222	Find the Roots (Zeros)	x^2+12=4x	$x^{2} + 12 = 4 x$
169223	Solve the System of Inequalities	-10b+3<=-37 or 3b-10<=-25	$- 10 b + 3 \leq - 37$ or $3 b - 10 \leq - 25$
169224	Find the LCD	8/(x^2-3x-40) and -2/(x^2-8x)	$\frac{8}{x^{2} - 3 x - 40}$ and $\frac{- 2}{x^{2} - 8 x}$
169225	Graph	y>=x-3 y>=-x-1	$y \geq x - 3$ $y \geq - x - 1$
169226	Simplify	( square root of 8)/( square root of 7)	$\frac{\sqrt{8}}{\sqrt{7}}$
169227	Graph	si	$s i$
169228	Graph	2y^2=-3x	$2 y^{2} = - 3 x$
169229	Factor	(x^2+2x)	$(x^{2} + 2 x)$
169230	Simplify	(8 square root of 24)/(2 square root of 48)	$\frac{8 \sqrt{24}}{2 \sqrt{48}}$
169231	Solve for x	x/(x-6)+(x+2)/(x-6)=6	$\frac{x}{x - 6} + \frac{x + 2}{x - 6} = 6$
169232	Solve for y	9x-y=45 for y	$9 x - y = 45$ for $y$
169233	Find the Domain and Range	y=(x^2)/(x^2-4)	$y = \frac{x^{2}}{x^{2} - 4}$
169234	Divide	(6x^4+9x^3-6x^2+3x)/(3x)	$\frac{6 x^{4} + 9 x^{3} - 6 x^{2} + 3 x}{3 x}$
169235	Solve the System of Equations	7x-8y=-23 7x-7y=-14	$7 x - 8 y = - 23$ $7 x - 7 y = - 14$
169236	Find the Quotient	(x^3-x^2-17x-15)÷(x-5)	$(x^{3} - x^{2} - 17 x - 15) \div (x - 5)$
169237	Graph	2y+3<=11	$2 y + 3 \leq 11$
169238	Find the x and y Intercepts	f(x)=1/2x	$f (x) = \frac{1}{2} x$
169239	Find the LCD	8/(x^2+9x+18) and -2/(x^2+6x)	$\frac{8}{x^{2} + 9 x + 18}$ and $\frac{- 2}{x^{2} + 6 x}$
169240	Multiply	(ax-3n)(ax+3n)	$(a x - 3 n) (a x + 3 n)$
169241	Solve for a	1/4=-4/5a+1/2	$\frac{1}{4} = - \frac{4}{5} a + \frac{1}{2}$
169242	Simplify	1/3(x-1/3)-1/2(2/3x-1/2)	$\frac{1}{3} (x - \frac{1}{3}) - \frac{1}{2} (\frac{2}{3} x - \frac{1}{2})$
169243	Simplify	x square root of 54x^4y^6	$x \sqrt{54 x^{4} y^{6}}$
169244	Find the Midpoint	(3,-1) and (7,-5)	$(3, - 1)$ and $(7, - 5)$
169245	Solve for p	-17p-p-14p+11p-1=20	$- 17 p - p - 14 p + 11 p - 1 = 20$
169246	Solve for x	3x(5x-4)-7=x(15x-6)-2(3x+5)+3	$3 x (5 x - 4) - 7 = x (15 x - 6) - 2 (3 x + 5) + 3$
169247	Find the Product	f(-1)	$f (- 1)$
169248	Solve the Inequality for x	x+2>=7	$x + 2 \geq 7$
169249	Factor	1-x^5	$1 - x^{5}$
169250	Factor	-44x^4y^6+24y^2z^2	$- 44 x^{4} y^{6} + 24 y^{2} z^{2}$
169251	Find All Complex Solutions	2sin(x)^2+cos(x)-1=0	$2 \sin^{2} (x) + \cos (x) - 1 = 0$
169252	Simplify	3/(x^2-x-2)-2/(x^2+x-6)	$\frac{3}{x^{2} - x - 2} - \frac{2}{x^{2} + x - 6}$
169253	Find the Domain and Range	f^-1(x)=x^2-2	$f^{- 1} (x) = x^{2} - 2$
169254	Solve the Inequality for θ	0<theta<pi/2	$0 < θ < \frac{π}{2}$
169255	Solve for a	(x^2)/(a^2)+(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
169256	Solve for x	1+ square root of 5x+5=5	$1 + \sqrt{5 x + 5} = 5$
169257	Solve for x	(x+1)(2x+5)=(2x+3)(x-4)+5	$(x + 1) (2 x + 5) = (2 x + 3) (x - 4) + 5$
169258	Simplify	4/(4- square root of 6x)	$\frac{4}{4 - \sqrt{6 x}}$
169259	Simplify	square root of 9* square root of 8	$\sqrt{9} \cdot \sqrt{8}$
169260	Simplify	(x^-6y^-1y)/(x^2)	$\frac{x^{- 6} y^{- 1} y}{x^{2}}$
169261	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-3x-2=0	$2 x^{2} - 3 x - 2 = 0$
169262	Find the x and y Intercepts	f(x)=(-2x^2+32)/(3x-12)	$f (x) = \frac{- 2 x^{2} + 32}{3 x - 12}$
169263	Evaluate	-12/16+(11/12)	$- \frac{12}{16} + (\frac{11}{12})$
169264	Solve the Inequality for x	(x^2-1)/(3x-6)>0	$\frac{x^{2} - 1}{3 x - 6} > 0$
169265	Solve the Inequality for x	(x-2)(x-3)(x-4)<=0	$(x - 2) (x - 3) (x - 4) \leq 0$
169266	Graph	y=2^(1/3x)	$y = 2^{\frac{1}{3} x}$
169267	Factor	-40y^4z^2+34x^4y^7	$- 40 y^{4} z^{2} + 34 x^{4} y^{7}$
169268	Graph	\|x+3\|>=2	$\| x + 3 \| \geq 2$
169269	Find the Domain and Range	x=y^6	$x = y^{6}$
169270	Factor	5ab^2c^11+2bc^5	$5 a b^{2} c^{11} + 2 b c^{5}$
169271	Simplify	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
169272	Graph	y<=-4x-1 y>3x-1	$y \leq - 4 x - 1$ $y > 3 x - 1$
169273	Find the Roots (Zeros)	4x^5-8x^4-5x^3+10x^2+x-2	$4 x^{5} - 8 x^{4} - 5 x^{3} + 10 x^{2} + x - 2$
169274	Solve for z	(z+4/3)^2=-3	${(z + \frac{4}{3})}^{2} = - 3$
169275	Simplify	2 square root of 10*3 square root of 12	$2 \sqrt{10} \cdot 3 \sqrt{12}$
169276	Simplify	6/(1- square root of 13)	$\frac{6}{1 - \sqrt{13}}$
169277	Simplify	square root of 4x* square root of x+2	$\sqrt{4 x} \cdot \sqrt{x + 2}$
169278	Evaluate	1/3pi	$\frac{1}{3} π$
169279	Graph	y>=x+3 y>=5-x	$y \geq x + 3$ $y \geq 5 - x$
169280	Determine if True	sin(theta)^2=1-cos(theta)^2	$\sin^{2} (θ) = 1 - \cos^{2} (θ)$
169281	Simplify	(-3x)^-1	${(- 3 x)}^{- 1}$
169282	Find the End Behavior	f(x)=-3x(4x^3-1)(7x^2+1)(x+1)	$f (x) = - 3 x (4 x^{3} - 1) (7 x^{2} + 1) (x + 1)$
169283	Factor	(u+2)^3+8v^3	${(u + 2)}^{3} + 8 v^{3}$
169284	Write in Standard Form	3 square root of 5	$3 \sqrt{5}$
169285	Solve for n	(1/64)^(3n)*8=2^6	${(\frac{1}{64})}^{3 n} \cdot 8 = 2^{6}$
169286	Solve by Completing the Square	-34=x^2-14x+10	$- 34 = x^{2} - 14 x + 10$
169287	Evaluate	(x+7)(x-7)	$(x + 7) (x - 7)$
169288	Solve for m	2m=-6n-5	$2 m = - 6 n - 5$
169289	Find the Exact Value	4^(1/2)	$4^{\frac{1}{2}}$
169290	Solve for n	-3+3/2n-1/8n+1/2=2n-5/8	$- 3 + \frac{3}{2} n - \frac{1}{8} n + \frac{1}{2} = 2 n - \frac{5}{8}$
169291	Find the Excluded Values	(x^2-9x)/(x^2-7x-18)	$\frac{x^{2} - 9 x}{x^{2} - 7 x - 18}$
169292	Find the Domain and Range	r(x)=\|x\|+5	$r (x) = \| x \| + 5$
169293	Simplify	(x^-5x^-7y^8)/(y^2)	$\frac{x^{- 5} x^{- 7} y^{8}}{y^{2}}$
169294	Simplify	Simplify sixth root of 64(x^2-3)^18	Simplify $\sqrt[6]{64 {(x^{2} - 3)}^{18}}$
169295	Evaluate	(3/162/5)/(7/43/2)	$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$
169296	Solve for y	x=2^y	$x = 2^{y}$
169297	Simplify	((x+3)/12)÷((9x+27)/24)	$\frac{x + 3}{12} \div \frac{9 x + 27}{24}$
169298	Solve for c	-2c+5/6-1/3c=3/2-5/2c+2	$- 2 c + \frac{5}{6} - \frac{1}{3} c = \frac{3}{2} - \frac{5}{2} c + 2$
169299	Simplify	(3x-1)(2x^3+4x^2-5)	$(3 x - 1) (2 x^{3} + 4 x^{2} - 5)$
169300	Solve for c	f(c)=9/5c+32	$f (c) = \frac{9}{5} c + 32$