Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17101	Find the Domain and Range	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
17102	Solve for A	R=x(A+B)	$R = x (A + B)$
17103	Add	2 square root of 3+4 square root of 3-5 square root of 3	$2 \sqrt{3} + 4 \sqrt{3} - 5 \sqrt{3}$
17104	Solve for g	square root of 5g=20	$\sqrt[2]{5 g} = 20$
17105	Simplify	(3x)/(4x)+(3x)/(x^2)	$\frac{3 x}{4 x} + \frac{3 x}{x^{2}}$
17106	Solve for x	y=x^5	$y = x^{5}$
17107	Add	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
17108	Simplify	fourth root of 81x^4* cube root of 27x^11	$\sqrt[4]{81 x^{4}} \cdot \sqrt[3]{27 x^{11}}$
17109	Simplify	(2xy)/((x^(1/3)y^(2/3))^(3/2))	$\frac{2 x y}{{(x^{\frac{1}{3}} y^{\frac{2}{3}})}^{\frac{3}{2}}}$
17110	Find the Domain	(2m^2)/(n^2)	$\frac{2 m^{2}}{n^{2}}$
17111	Solve for x	fifth root of 7x+4 = fifth root of 3x-14	$\sqrt[5]{7 x + 4} = \sqrt[5]{3 x - 14}$
17112	Solve for Y	AE=3600-0.8Y	$A E = 3600 - 0.8 Y$
17113	Solve for x	3 square root of x-2+7=19	$3 \sqrt{x - 2 + 7} = 19$
17114	Solve the Function Operation	f(x)=-2/5x-3 if x<5; 2 if x=5; -x if x>5 Find f(6)	$f (x) = {\begin{cases} - \frac{2}{5} x - 3 & x < 5 \\ 2 & x = 5 \\ - x & x > 5 \end{cases}$ Find $f (6)$
17115	Factor	108x^2y^3z-147yz^3	$108 x^{2} y^{3} z - 147 y z^{3}$
17116	Solve for x	square root of 4-x+4=10-x	$\sqrt{4 - x} + 4 = 10 - x$
17117	Solve the Inequality for x	3x+y>=6	$3 x + y \geq 6$
17118	Solve the Inequality for x	-x^2+20x-24>9x	$- x^{2} + 20 x - 24 > 9 x$
17119	Simplify	((t^2+3t-8)-(t^2-2t+6))(t-4)	$((t^{2} + 3 t - 8) - (t^{2} - 2 t + 6)) (t - 4)$
17120	Simplify	((x^4+x^3-30x^2)/(x^2-3x-18))÷((x^3+x^2-30x)/(x^2-36))	$\frac{x^{4} + x^{3} - 30 x^{2}}{x^{2} - 3 x - 18} \div \frac{x^{3} + x^{2} - 30 x}{x^{2} - 36}$
17121	Find the Third Derivative	y=7^x+1102	$y = 7^{x} + 1102$
17122	Simplify	( square root of 18x^3y)/( square root of 2x^4y^2)	$\frac{\sqrt{18 x^{3} y}}{\sqrt{2 x^{4} y^{2}}}$
17123	Evaluate the Integral	integral from 0 to pi/3 of (9sin(theta)+9sin(theta)tan(theta)^2)/(sec(theta)^2) with respect to theta	$\int_{0}^{\frac{π}{3}} \frac{9 \sin (θ) + 9 \sin (θ) \tan^{2} (θ)}{\sec^{2} (θ)} d θ$
17124	Find the x and y Intercepts	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
17125	Simplify	((p^3q^4r^2)/(p^2qr^4))^-1	${(\frac{p^{3} q^{4} r^{2}}{p^{2} q r^{4}})}^{- 1}$
17126	Simplify the Radical Expression	7 cube root of 8x^2y+2 cube root of 27x^5y^4	$7 \sqrt[3]{8 x^{2} y} + 2 \sqrt[3]{27 x^{5} y^{4}}$
17127	Simplify	2(5a+2b)-a	$2 (5 a + 2 b) - a$
17128	Evaluate	(d-9)-(3d-1)	$(d - 9) - (3 d - 1)$
17129	Solve the Inequality for x	6-2(x-4)>=5(1-x)	$6 - 2 (x - 4) \geq 5 (1 - x)$
17130	Divide Using Long Polynomial Division	(4x^3-x^2+3)/x	$\frac{4 x^{3} - x^{2} + 3}{x}$
17131	Factor	(2x-3)^2-(3x+2)^2	${(2 x - 3)}^{2} - {(3 x + 2)}^{2}$
17132	Simplify	2/(1/3+1/5)	$\frac{2}{\frac{1}{3} + \frac{1}{5}}$
17133	Simplify	(-5^-2x^3)^-1	${(- 5^{- 2} x^{3})}^{- 1}$
17134	Find the Antiderivative	f(x)=4-2/(x^3)	$f (x) = 4 - \frac{2}{x^{3}}$
17135	Solve for x	16^x>2^24^38^4	$16^{x} > 2^{2} \cdot 4^{3} \cdot 8^{4}$
17136	Solve the Function Operation	f(x)=x-6 g(x)=3x^2+5x-5 Find: g(f(x))	$f (x) = x - 6$ $g (x) = 3 x^{2} + 5 x - 5$ Find: $g (f (x))$
17137	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+3x^2-6x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{3} + 3 x^{2} - 6 x - 16$ is divided by $x - 2$
17138	Find the Possible Factors	factors of 9	factors of $9$
17139	Find the Vertex	(y^2)/9-(x+4)^2=1	$\frac{y^{2}}{9} - {(x + 4)}^{2} = 1$
17140	Find the Complex Conjugate	(3-2i)/(5i)	$\frac{3 - 2 i}{5 i}$
17141	Solve the System of Equations	2d-e=7 d+e=5	$2 d - e = 7$ $d + e = 5$
17142	Simplify the Radical Expression	(3 square root of 2xy)^3	${(3 \sqrt{2 x y})}^{3}$
17143	Find the Asymptotes	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
17144	Factor	x^2-14x+49+4x^9-28x^8	$x^{2} - 14 x + 49 + 4 x^{9} - 28 x^{8}$
17145	Convert to a Decimal	cos(585)deg	$\cos (585)$ degrees
17146	Simplify	8/( cube root of 3x^2)	$\frac{8}{\sqrt[3]{3 x^{2}}}$
17147	Solve for s	3(-1.5s+5)=-2s+4	$3 (- 1.5 s + 5) = - 2 s + 4$
17148	Factor	729a^6-64b^6	$729 a^{6} - 64 b^{6}$
17149	Find dy/dx	5xy+x^2=-y^2	$5 x y + x^{2} = - y^{2}$
17150	Simplify	(-1)^(-1/3)	${(- 1)}^{- \frac{1}{3}}$
17151	Evaluate the Integral	integral of (2e^x-2e^(-x))/((e^x+e^(-x))^2) with respect to x	$\int \frac{2 e^{x} - 2 e^{- x}}{{(e^{x} + e^{- x})}^{2}} d x$
17152	Graph	x>=-2 y<=x-3	$x \geq - 2$ $y \leq x - 3$
17153	Simplify	(2^-1x^-3)/(y^8)	$\frac{2^{- 1} x^{- 3}}{y^{8}}$
17154	Evaluate	(2tan(pi/8))/(1-tan(pi/8)^2)	$\frac{2 \tan (\frac{π}{8})}{1 - \tan^{2} (\frac{π}{8})}$
17155	Find the Exact Value	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
17156	Solve for x	square root of 5x+8=10	$\sqrt{5 x} + 8 = 10$
17157	Solve the Rational Equation for x	x-(3x)/(x+1)=3/(x+1)	$x - \frac{3 x}{x + 1} = \frac{3}{x + 1}$
17158	Simplify	square root of ( square root of 21-2 square root of 7)^2	$\sqrt{{(\sqrt{21} - 2 \sqrt{7})}^{2}}$
17159	Simplify	-2/-4	$- \frac{2}{- 4}$
17160	Find the Roots (Zeros)	x^3-3x-2=0	$x^{3} - 3 x - 2 = 0$
17161	Simplify	-10x^2-x+6+10x^2-5	$- 10 x^{2} - x + 6 + 10 x^{2} - 5$
17162	Solve the Function Operation	f(x)=-3x-1 g(x)=x^2+6x-12 Find: g(f(x))	$f (x) = - 3 x - 1$ $g (x) = x^{2} + 6 x - 12$ Find: $g (f (x))$
17163	Simplify	1^4(-1)^6	$1^{4} {(- 1)}^{6}$
17164	Solve the Inequality for x	-x^2+x+33<=3	$- x^{2} + x + 33 \leq 3$
17165	Graph	Graph the line with the equation y=-1/3x-2	Graph the line with the equation $y = - \frac{1}{3} x - 2$
17166	Simplify	(2i)^2 square root of -1/25	${(2 i)}^{2} \sqrt{\frac{- 1}{25}}$
17167	Determine if (2,12) is a Solution	y<3x+7 , (2,12)	$y < 3 x + 7$ , $(2, 12)$
17168	Add	(3x^2+2x+1)+(2x^2-4x-5)+(3x-1)	$(3 x^{2} + 2 x + 1) + (2 x^{2} - 4 x - 5) + (3 x - 1)$
17169	Add	-3x+x^3-2x^2 and 4x^3-2x^2-4x	$- 3 x + x^{3} - 2 x^{2}$ and $4 x^{3} - 2 x^{2} - 4 x$
17170	Evaluate the Integral	integral from pi/4 to pi/3 of (3tan(x)sec(x)+2cos(x)) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} (3 \tan (x) \sec (x) + 2 \cos (x)) d x$
17171	Find dy/dw	x^2-y+z^2=w	$x^{2} - y + z^{2} = w$
17172	Solve for x	-1+5/4=-5/(4x)	$- 1 + \frac{5}{4} = \frac{- 5}{4 x}$
17173	Evaluate the Function	f(x)=(x^2-10x+25)/(x-5) , a=5	$f (x) = \frac{x^{2} - 10 x + 25}{x - 5}$ , $a = 5$
17174	Solve the Inequality for m	-3/5m<=-6	$- \frac{3}{5} m \leq - 6$
17175	Find the Derivative - d/dx	y=(x-1/x)^2	$y = {(x - \frac{1}{x})}^{2}$
17176	Determine if a Polynomial	10b^2+(b^3)/6+b^5	$10 b^{2} + \frac{b^{3}}{6} + b^{5}$
17177	Simplify	-6/(-7- square root of 13)	$\frac{- 6}{- 7 - \sqrt{13}}$
17178	Evaluate Using the Given Value	m^2n+2m^3 if m=-0.2 and n=-9.6	$m^{2} n + 2 m^{3}$ if $m = - 0.2$ and $n = - 9.6$
17179	Find the Inflection Points	f(x)=x^3-3/2x^2-36x	$f (x) = x^{3} - \frac{3}{2} x^{2} - 36 x$
17180	Evaluate the Integral	integral from 0 to 1 of x^6e^(-x^7) with respect to x	$\int_{0}^{1} x^{6} e^{- x^{7}} d x$
17181	Simplify	((2x+3)/(6x))(3x)	$(\frac{2 x + 3}{6 x}) (3 x)$
17182	Simplify	sixth root of x* fifth root of x*10 root of x^3	$\sqrt[6]{x} \cdot \sqrt[5]{x} \cdot \sqrt[10]{x^{3}}$
17183	Find the Domain and Range	y=3cos(pix)	$y = 3 \cos (π x)$
17184	Find the Product	( square root of 6-3)( square root of 6+3)	$(\sqrt{6} - 3) (\sqrt{6} + 3)$
17185	Solve the Rational Equation for x	square root of 3x+7=x+1	$\sqrt{3 x} + 7 = x + 1$
17186	Solve for x	6 square root of 3x+2=14	$6 \sqrt{3 x} + 2 = 14$
17187	Solve for x	-54-8x=-2x	$- 54 - 8 x = - 2 x$
17188	Factor	50+10x^0+7+2	$50 + 10 x^{0} + 7 + 2$
17189	Solve for x	3x^2-bx=0	$3 x^{2} - b x = 0$
17190	Add	2a+b-c-d and 4a-3b-2c+5d	$2 a + b - c - d$ and $4 a - 3 b - 2 c + 5 d$
17191	Solve for y	2.25y^2-3y+1<0	$2.25 y^{2} - 3 y + 1 < 0$
17192	Determine if (3,4) is a Solution	(3,4) , x+y=7 x-2y=-5	$(3, 4)$ , $x + y = 7$ $x - 2 y = - 5$
17193	Multiply	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
17194	Simplify	(7x^(3/4)y^(5/2))/(56x^(-1/2)y^(1/4)z^(-2/3))	$\frac{7 x^{\frac{3}{4}} y^{\frac{5}{2}}}{56 x^{- \frac{1}{2}} y^{\frac{1}{4}} z^{- \frac{2}{3}}}$
17195	Evaluate the Limit	limit as x approaches 0 of (e^(2x)-1)/x=2	$lim_{x \to 0} \frac{e^{2 x} - 1}{x} = 2$
17196	Solve by Graphing	y=3x+1 y=4	$y = 3 x + 1$ $y = 4$
17197	Simplify	( square root of 2+ square root of 3)*( square root of 3- square root of 2)	$(\sqrt{2} + \sqrt{3}) \cdot (\sqrt{3} - \sqrt{2})$
17198	Solve the System of Inequalities	y-5<-4 or y-5>=1	$y - 5 < - 4$ or $y - 5 \geq 1$
17199	Solve for x	x+2y=20 2x-3y=-1	$x + 2 y = 20$ $2 x - 3 y = - 1$
17200	Solve the System of Equations	y=-4/3x-5 x=-3	$y = - \frac{4}{3} x - 5$ $x = - 3$