Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190601	Evaluate	e^(1/infinity)	$e^{\frac{1}{\infty}}$
190602	Factor	f(x)=2x^3+x^2-13x+6	$f (x) = 2 x^{3} + x^{2} - 13 x + 6$
190603	Solve for b	b^3=27	$b^{3} = 27$
190604	Simplify	(3x-1)/(4-2x)	$\frac{3 x - 1}{4 - 2 x}$
190605	Find the Zeros Using Descartes' Rule of Signs	f(x)=x^3-3x^2-6x+8	$f (x) = x^{3} - 3 x^{2} - 6 x + 8$
190606	Find f(g(x))	f(x) = square root of x and g(x)=x+1	$f (x) = \sqrt{x}$ and $g (x) = x + 1$
190607	Evaluate	-1/2(0)^2	$- \frac{1}{2} {(0)}^{2}$
190608	Solve the System of Equations	x+2y-z=-3 -x+y+2z=5 -2x+5y+5z=12	$x + 2 y - z = - 3$ $- x + y + 2 z = 5$ $- 2 x + 5 y + 5 z = 12$
190609	Combine Like Terms	(-x^2-4x-5)+(-x^2+8x+8)	$(- x^{2} - 4 x - 5) + (- x^{2} + 8 x + 8)$
190610	Solve the System of Equations	-x^2-3y^2=-12 -4x^2-y^2=-37	$- x^{2} - 3 y^{2} = - 12$ $- 4 x^{2} - y^{2} = - 37$
190611	Solve the Inequality for x	(x^2-4)/(x^2-5x+6)<0	$\frac{x^{2} - 4}{x^{2} - 5 x + 6} < 0$
190612	Simplify	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
190613	Graph Using a Table of Values	y=x^3-4	$y = x^{3} - 4$
190614	Simplify	(sin(x))/(cos(x)-cos(x)^3)	$\frac{\sin (x)}{\cos (x) - \cos^{3} (x)}$
190615	Graph	2y>x-2 ?	$2 y > x - 2$ ?
190616	Evaluate	h(x)=17+x/6	$h (x) = 17 + \frac{x}{6}$
190617	Find the Exact Value	9^-1	$9^{- 1}$
190618	Find the Sum and Product of the Roots of the Quadratic Equation	x^2=10x-25	$x^{2} = 10 x - 25$
190619	Factor	2x^2(x+y)-y(x+y)^2	$2 x^{2} (x + y) - y {(x + y)}^{2}$
190620	Solve for b	a=a/b+c	$a = \frac{a}{b} + c$
190621	Evaluate	log base 1/9 of 3	$\log_{\frac{1}{9}} (3)$
190622	Simplify	(8x^2y^2-9x^2y+9y)-(6x^2y-xy^2+4y)	$(8 x^{2} y^{2} - 9 x^{2} y + 9 y) - (6 x^{2} y - x y^{2} + 4 y)$
190623	Simplify	6(2c-cd^2+d)	$6 (2 c - c d^{2} + d)$
190624	Solve for y	-3y<=-18	$- 3 y \leq - 18$
190625	Solve for O	A=(FV-OV)/T	$A = \frac{F V - O V}{T}$
190626	Solve the System of Equations	y^2-x^2=9 2x-3=y	$y^{2} - x^{2} = 9$ $2 x - 3 = y$
190627	Solve for x	-5=(x+7)^(1/2)-11	$- 5 = {(x + 7)}^{\frac{1}{2}} - 11$
190628	Write in Standard Form	m^2-6m+5=4m^2-8	$m^{2} - 6 m + 5 = 4 m^{2} - 8$
190629	Write in Standard Form	x(x+4)=-3	$x (x + 4) = - 3$
190630	Solve for x	f(x)=5	$f (x) = 5$
190631	Simplify	8n+4n^2-8n	$8 n + 4 n^{2} - 8 n$
190632	Multiply	(4a^2)(-5a^3x^2)(-ay^2)	$(4 a^{2}) (- 5 a^{3} x^{2}) (- a y^{2})$
190633	Solve the Inequality for x	-x^2+4>0	$- x^{2} + 4 > 0$
190634	Simplify	((2x^8)/(5y))/((4x^2)/(25y^3))	$\frac{\frac{2 x^{8}}{5 y}}{\frac{4 x^{2}}{25 y^{3}}}$
190635	Solve for x	cube root of 6x^2+5x-5- cube root of 6x=0	$\sqrt[3]{6 x^{2} + 5 x - 5} - \sqrt[3]{6 x} = 0$
190636	Simplify	(10x+y)+(10x-7y)	$(10 x + y) + (10 x - 7 y)$
190637	Graph	y=-1/2\|x-1\|+2	$y = - \frac{1}{2} \| x - 1 \| + 2$
190638	Solve for x	(3x+17)+(1/2x-5)=180	$(3 x + 17) + (\frac{1}{2} x - 5) = 180$
190639	Solve the System of Equations	6x-9=y y=-3x	$6 x - 9 = y$ $y = - 3 x$
190640	Simplify	x/(7x+x^2)	$\frac{x}{7 x + x^{2}}$
190641	Find the Domain and Range	y = natural log of x-3+1	$y = \ln (x - 3) + 1$
190642	Convert to Polar	x^2-y^2=9	$x^{2} - y^{2} = 9$
190643	Evaluate	2x*x^2	$2 x \cdot x^{2}$
190644	Find the Exact Value	( square root of 3)/2+( square root of 3)/2	$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2}$
190645	Solve for s	-8s-4>3s+3	$- 8 s - 4 > 3 s + 3$
190646	Solve for x	-(6/5x+6)+2=-4/5(-5x+7)	$- (\frac{6}{5} x + 6) + 2 = - \frac{4}{5} (- 5 x + 7)$
190647	Simplify	45/(8(5-4)-3)	$\frac{45}{8 (5 - 4) - 3}$
190648	Solve for x	4-5/2(1/10x)=1	$4 - \frac{5}{2} (\frac{1}{10} x) = 1$
190649	Write in Slope-Intercept Form	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
190650	Simplify	(-x/2)^2	${(- \frac{x}{2})}^{2}$
190651	Solve for x	3/(4x^2-1)-4/(2x+1)=5/(2x-1)	$\frac{3}{4 x^{2} - 1} - \frac{4}{2 x + 1} = \frac{5}{2 x - 1}$
190652	Graph	q(x)=1/2f(x)	$q (x) = \frac{1}{2} f (x)$
190653	Graph	Graph y=-1/4x+6	Graph $y = - \frac{1}{4} x + 6$
190654	Divide Using Long Polynomial Division	-42x^2-13x+1 by 6x+1	$- 42 x^{2} - 13 x + 1$ by $6 x + 1$
190655	Evaluate	-17/(24+1)	$- \frac{17}{24 + 1}$
190656	Solve for x	2(3x+8)=2x+16+4x	$2 (3 x + 8) = 2 x + 16 + 4 x$
190657	Graph	f(x)=[[x]]-2	$f (x) = [\begin{array}{c} x \end{array}] - 2$
190658	Factor	12x^3y^5-20x^5y^2z	$12 x^{3} y^{5} - 20 x^{5} y^{2} z$
190659	Evaluate	2/(2+1)-1	$\frac{2}{2 + 1} - 1$
190660	Solve the Absolute Value Inequality for x	\|7x+4\|>=74	$\| 7 x + 4 \| \geq 74$
190661	Find the Product	(1-3ax)(3ax+1)	$(1 - 3 a x) (3 a x + 1)$
190662	Graph	y>=x-2 y>=-3x-6	$y \geq x - 2$ $y \geq - 3 x - 6$
190663	Simplify the Radical Expression	seventh root of (n^26)/(n^3)	$\sqrt[7]{\frac{n^{26}}{n^{3}}}$
190664	Solve for m	-3(m-2n)=5m	$- 3 (m - 2 n) = 5 m$
190665	Solve for d	3(2d-8)=11d-18(d-3)	$3 (2 d - 8) = 11 d - 18 (d - 3)$
190666	Solve for x	17/15=10/(2x-2)	$\frac{17}{15} = \frac{10}{2 x - 2}$
190667	Solve the Inequality for x	x(x-5)>0	$x (x - 5) > 0$
190668	Find the Roots (Zeros)	f(x)=2(x-3)(x+2)^2(x-1)	$f (x) = 2 (x - 3) {(x + 2)}^{2} (x - 1)$
190669	Graph	f(x)=6x^3-9x-x^5	$f (x) = 6 x^{3} - 9 x - x^{5}$
190670	Solve the Inequality for f	f+11<=5/3	$f + 11 \leq \frac{5}{3}$
190671	Solve for x	(2x-4)/3+(x+7)/12=-9	$\frac{2 x - 4}{3} + \frac{x + 7}{12} = - 9$
190672	Solve for x	3^(2x+1)=(1/3)^x	$3^{2 x + 1} = {(\frac{1}{3})}^{x}$
190673	Solve the Inequality for v	-8>v-3	$- 8 > v - 3$
190674	Find the End Behavior	f(x)=-4x^2+x^3-17x+60	$f (x) = - 4 x^{2} + x^{3} - 17 x + 60$
190675	Solve for x	4-2(7+8x)=12-6(2x-7)+4x	$4 - 2 (7 + 8 x) = 12 - 6 (2 x - 7) + 4 x$
190676	Simplify	(6x^2+2x-9)+(8x^2-5x+1)-(3x-4)(7x+2)	$(6 x^{2} + 2 x - 9) + (8 x^{2} - 5 x + 1) - (3 x - 4) (7 x + 2)$
190677	Solve for x	55-(4x+5)=48	$55 - (4 x + 5) = 48$
190678	Solve for v	16.8-v=6v	$16.8 - v = 6 v$
190679	Solve the Inequality for y	1.8-0.4y>=2.2-2y	$1.8 - 0.4 y \geq 2.2 - 2 y$
190680	Solve for x	cube root of 5x+4+5=6	$\sqrt[3]{5 x + 4} + 5 = 6$
190681	Solve for x	2 log of x = log of 5x-6	$2 \log (x) = \log (5 x - 6)$
190682	Solve the Rational Equation for x	1/x+1/(2x)=2/3	$\frac{1}{x} + \frac{1}{2 x} = \frac{2}{3}$
190683	Solve for x	2(x-3)-4(x-6)=7x	$2 (x - 3) - 4 (x - 6) = 7 x$
190684	Solve the System of Equations	x^2+2y^2=59 2x^2+y^2=43	$x^{2} + 2 y^{2} = 59$ $2 x^{2} + y^{2} = 43$
190685	Find the Roots (Zeros)	f(x)=(x-1)(x+1)(x-2)^2	$f (x) = (x - 1) (x + 1) {(x - 2)}^{2}$
190686	Simplify	(2-x^2)(x^2-9)	$(2 - x^{2}) (x^{2} - 9)$
190687	Solve for a	-5(3x^2+5x+b)=ax^2-25x+45	$- 5 (3 x^{2} + 5 x + b) = a x^{2} - 25 x + 45$
190688	Solve the Inequality for x	4x+49<9-x	$4 x + 49 < 9 - x$
190689	Solve for x	( log base 3 of x)^2-3 log base 3 of x=18	${\log_{3}}^{2} (x) - 3 \log_{3} (x) = 18$
190690	Simplify	(1/x)÷(1/y)	$\frac{1}{x} \div \frac{1}{y}$
190691	Find the Roots (Zeros)	-5x-2=-2x^2-2x	$- 5 x - 2 = - 2 x^{2} - 2 x$
190692	Solve the System of Equations	x-3y+3z=-4 2x+3y-z=15 4x-3y-z=19	$x - 3 y + 3 z = - 4$ $2 x + 3 y - z = 15$ $4 x - 3 y - z = 19$
190693	Evaluate	(2(-12/5))/(1-(-12/5)^2)	$\frac{2 (- \frac{12}{5})}{1 - {(- \frac{12}{5})}^{2}}$
190694	Evaluate	-2=3-7 fifth root of x^2	$- 2 = 3 - 7 \sqrt[5]{x^{2}}$
190695	Solve the Rational Equation for x	x/6+(3x)/5=2	$\frac{x}{6} + \frac{3 x}{5} = 2$
190696	Graph	y<=-x^2+2x	$y \leq - x^{2} + 2 x$
190697	Solve the Inequality for x	x-3>=0	$x - 3 \geq 0$
190698	Multiply	(8w^4+w^3)^2	${(8 w^{4} + w^{3})}^{2}$
190699	Solve for x	1/2(3)^x=9/2	$\frac{1}{2} {(3)}^{x} = \frac{9}{2}$
190700	Simplify	x/(x+1)-1/(x-1)+(2x)/(x^2-1)	$\frac{x}{x + 1} - \frac{1}{x - 1} + \frac{2 x}{x^{2} - 1}$