Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195701	Solve for x	4x^2=14x+8	$4 x^{2} = 14 x + 8$
195702	Find the Exact Value	sin((5pi)/12)cos(pi/3)+cos((5pi)/12)sin(pi/3)	$\sin (\frac{5 π}{12}) \cos (\frac{π}{3}) + \cos (\frac{5 π}{12}) \sin (\frac{π}{3})$
195703	Solve the Inequality for x	1/2x-3>1/3x+1	$\frac{1}{2} x - 3 > \frac{1}{3} x + 1$
195704	Solve for y	x=(3y+5)/(7y-1)	$x = \frac{3 y + 5}{7 y - 1}$
195705	Convert to a Simplified Fraction	0.3 as a fraction	$0.3$ as a fraction
195706	Solve the Inequality for x	x^2<x+12	$x^{2} < x + 12$
195707	Solve for x	x+6-5=8-2	$x + 6 - 5 = 8 - 2$
195708	Simplify	(8/27)^(-1/3)	${(\frac{8}{27})}^{\frac{- 1}{3}}$
195709	Graph	f(x)=x^2(x-a)^2(x-b)^4(x-c)	$f (x) = x^{2} {(x - a)}^{2} {(x - b)}^{4} (x - c)$
195710	Solve the Rational Equation for x	3/x=4/(3x)-10/3	$\frac{3}{x} = \frac{4}{3 x} - \frac{10}{3}$
195711	Multiply	2^x*2^x	$2^{x} \cdot 2^{x}$
195712	Convert to a Decimal	-90deg	$- 90$ degrees
195713	Find the Holes in the Graph	(-5x+15)/(2x^2-16x+30)	$\frac{- 5 x + 15}{2 x^{2} - 16 x + 30}$
195714	Simplify	( square root of 5x^2y)^3( square root of 8xy^3)^2	${(\sqrt{5 x^{2} y})}^{3} {(\sqrt{8 x y^{3}})}^{2}$
195715	Graph	r=4csc(theta)	$r = 4 \csc (θ)$
195716	Find the Parabola with Focus (7,0) and Directrix x=-7	(7,0) x=-7	$(7, 0)$ $x = - 7$
195717	Solve for x	3+x/5+16=22	$3 + \frac{x}{5} + 16 = 22$
195718	Solve for y	4=3y^2+11y	$4 = 3 y^{2} + 11 y$
195719	Find All Complex Solutions	tan(theta)^2-3=0	$\tan^{2} (θ) - 3 = 0$
195720	Find the x and y Intercepts	P(x)=x^3+5x^2-14x	$P (x) = x^{3} + 5 x^{2} - 14 x$
195721	Solve for x	-5/4x=-x+3(-1/3x+1)+1	$- \frac{5}{4} x = - x + 3 (- \frac{1}{3} x + 1) + 1$
195722	Solve for x	\|(2x+7)/(x-1)\|>=1	$\| \frac{2 x + 7}{x - 1} \| \geq 1$
195723	Multiply	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
195724	Solve for v	v^2+4v+9=-2v	$v^{2} + 4 v + 9 = - 2 v$
195725	Find the End Behavior	f(x)=3x^6+270x^3-1701x+180x^4-405x^2+39x^5-1458	$f (x) = 3 x^{6} + 270 x^{3} - 1701 x + 180 x^{4} - 405 x^{2} + 39 x^{5} - 1458$
195726	Solve for x	2/x=1-2/(x+3)	$\frac{2}{x} = 1 - \frac{2}{x + 3}$
195727	Multiply	x*4x^2	$x \cdot 4 x^{2}$
195728	Solve the Inequality for k	(4k-1)/3-(2k+1)/7>k	$\frac{4 k - 1}{3} - \frac{2 k + 1}{7} > k$
195729	Solve for d	-7d-3>2d-10	$- 7 d - 3 > 2 d - 10$
195730	Solve for x	1^2+x^2=5^2	$1^{2} + x^{2} = 5^{2}$
195731	Find the Product	3 square root of 10(y^2 square root of 4+ square root of 8y)	$3 \sqrt{10} (y^{2} \sqrt{4} + \sqrt{8 y})$
195732	Solve for x	x^2+x-6<=0	$x^{2} + x - 6 \leq 0$
195733	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x(x-3)^2	$f (x) = x {(x - 3)}^{2}$
195734	Simplify	11/(b-7)-(2b-3)/(b-7)	$\frac{11}{b - 7} - \frac{2 b - 3}{b - 7}$
195735	Simplify	((2a)/(4b^3))^3	${(\frac{2 a}{4 b^{3}})}^{3}$
195736	Graph	f(x)=(h(x))/(x^2-6x+8)	$f (x) = \frac{h (x)}{x^{2} - 6 x + 8}$
195737	Solve for x	-2x+4(-1/4x+7/2)=-(x-1)-8x	$- 2 x + 4 (- \frac{1}{4} x + \frac{7}{2}) = - (x - 1) - 8 x$
195738	Factor by Grouping	14x^2y^2-28x^3+56x^4	$14 x^{2} y^{2} - 28 x^{3} + 56 x^{4}$
195739	Solve for y	x=y/(y+1)	$x = \frac{y}{y + 1}$
195740	Graph	slope 0	slope $0$
195741	Solve the System of Inequalities	-15x+60<=105 ; AND , 14x+11<=-31	$- 15 x + 60 \leq 105$ ; AND , $14 x + 11 \leq - 31$
195742	Simplify	square root of x^3 cube root of y	$\sqrt{x^{3}} \sqrt[3]{y}$
195743	Find the Distance Between Two Points	(-1,9) and (4,-3)	$(- 1, 9)$ and $(4, - 3)$
195744	Solve for x	-2/3x+1/4=1/4x+3	$- \frac{2}{3} x + \frac{1}{4} = \frac{1}{4} x + 3$
195745	Simplify	2(4z-2x+y)-4(5z+x-y)	$2 (4 z - 2 x + y) - 4 (5 z + x - y)$
195746	Multiply	(-3/2)^2	${(- \frac{3}{2})}^{2}$
195747	Solve the Inequality for x	1/(x+1)+1/(x+2)<=0	$\frac{1}{x + 1} + \frac{1}{x + 2} \leq 0$
195748	Solve for c	5/(3c)=1/6	$\frac{5}{3 c} = \frac{1}{6}$
195749	Simplify	( cube root of 27x)/( cube root of 9)	$\frac{\sqrt[3]{27 x}}{\sqrt[3]{9}}$
195750	Solve the Absolute Value Inequality for x	5\|x-5\|+6<=11	$5 \| x - 5 \| + 6 \leq 11$
195751	Solve for x	1/4x+5/3x-4=2-1/12x	$\frac{1}{4} x + \frac{5}{3} x - 4 = 2 - \frac{1}{12} x$
195752	Graph	y<=3x+2 and 2y>6x-4	$y \leq 3 x + 2$ and $2 y > 6 x - 4$
195753	Solve for a	4y(ay^2-7y+b)=24y^3-28y^2-8y	$4 y (a y^{2} - 7 y + b) = 24 y^{3} - 28 y^{2} - 8 y$
195754	Simplify	3/(2x+5)+5/(x-5)	$\frac{3}{2 x + 5} + \frac{5}{x - 5}$
195755	Simplify	-2/3(5/6x-3)	$- \frac{2}{3} (\frac{5}{6} x - 3)$
195756	Solve for n	2^(n+1)+5n=2	$2^{n + 1} + 5 n = 2$
195757	Simplify	(x-y+1)-(x+y-1)	$(x - y + 1) - (x + y - 1)$
195758	Graph	y=x^(-2/3)	$y = x^{- \frac{2}{3}}$
195759	Evaluate	-1/2-( square root of 3)/2	$- \frac{1}{2} - \frac{\sqrt{3}}{2}$
195760	Find C(R(x))	C(x)=8.50x+10 R(x)=15x	$C (x) = 8.5 x + 10$ $R (x) = 15 x$
195761	Find f(g(x))	f(x)=3x+2 , g(x) = square root of x	$f (x) = 3 x + 2$ , $g (x) = \sqrt{x}$
195762	Simplify	(x^3-x+1)-(3x-1)	$(x^{3} - x + 1) - (3 x - 1)$
195763	Graph	y=cos(\|x\|)	$y = \cos (\| x \|)$
195764	Evaluate Using the Given Value	7r-15/s when r=3 and s=5	$7 r - \frac{15}{s}$ when $r = 3$ and $s = 5$
195765	Solve for x	-5(x-4)>=2(1-x)	$- 5 (x - 4) \geq 2 (1 - x)$
195766	Evaluate	(-10x^2+9)+(8x^2-5x+7)	$(- 10 x^{2} + 9) + (8 x^{2} - 5 x + 7)$
195767	Solve for w	64w^2+96w+36=0	$64 w^{2} + 96 w + 36 = 0$
195768	Graph Using a Table of Values	f(x)=5^x+3	$f (x) = 5^{x} + 3$
195769	Solve for r	q=r+s-t	$q = r + s - t$
195770	Simplify	(8+ square root of 4)/(2(4))	$\frac{8 + \sqrt{4}}{2 (4)}$
195771	Find the Roots (Zeros)	1/2x^2+5/2x-3/2	$\frac{1}{2} x^{2} + \frac{5}{2} x - \frac{3}{2}$
195772	Solve the System of Inequalities	3x>=-12 and 8x<=16	$3 x \geq - 12$ and $8 x \leq 16$
195773	Solve the Inequality for m	m-2<-8	$m - 2 < - 8$
195774	Graph	p(x)=(2x-1)^2(x-2)^3	$p (x) = {(2 x - 1)}^{2} {(x - 2)}^{3}$
195775	Describe the Transformation	y = square root of 1/3x+3-4	$y = \sqrt{\frac{1}{3} x + 3} - 4$
195776	Factor	36a^6b+24cy^5-12d	$36 a^{6} b + 24 c y^{5} - 12 d$
195777	Solve for x	2/(x+1)+x/(x+4)=1/2	$\frac{2}{x + 1} + \frac{x}{x + 4} = \frac{1}{2}$
195778	Convert to a Simplified Fraction	0.4 as a fraction	$0.4$ as a fraction
195779	Solve the Inequality for x	(x^2-16)(x-1)(x+2)>0	$(x^{2} - 16) (x - 1) (x + 2) > 0$
195780	Simplify	(cd^4)/(c^2d^8)	$\frac{c d^{4}}{c^{2} d^{8}}$
195781	Evaluate	e^(-infinity^2)	$e^{- \infty^{2}}$
195782	Solve for x	\|2x+5\|+4>1	$\| 2 x + 5 \| + 4 > 1$
195783	Solve the Absolute Value Inequality for x	4\|x-8\|-6<=14	$4 \| x - 8 \| - 6 \leq 14$
195784	Simplify	(x^2+6)/( square root of 1-x)	$\frac{x^{2} + 6}{\sqrt{1 - x}}$
195785	Evaluate	5+2x=2x+6	$5 + 2 x = 2 x + 6$
195786	Evaluate	3((7+8)2+6)	$3 \cdot ((7 + 8) \cdot 2 + 6)$
195787	Solve for x	6x-12y=18 for x	$6 x - 12 y = 18$ for $x$
195788	Solve for d	d-c-e=17	$d - c - e = 17$
195789	Find the x and y Intercepts	0	$0$
195790	Solve for x	-5/8+x=-7/24	$- \frac{5}{8} + x = - \frac{7}{24}$
195791	Solve for m	log base 3 of m+4-3=-4	$\log_{3} (m + 4) - 3 = - 4$
195792	Find the Product	(a-b)(a-b)	$(a - b) (a - b)$
195793	Graph Using a Table of Values	x^2+y^2=25	$x^{2} + y^{2} = 25$
195794	Solve the System of Equations	3x-2y=10 x=2	$3 x - 2 y = 10$ $x = 2$
195795	Evaluate the Function	f(x)=x^3+x^2-3x+9 for x=-4	$f (x) = x^{3} + x^{2} - 3 x + 9$ for $x = - 4$
195796	Simplify	(12c^3d^2)/(21ab)*(14a^2b)/(8c^2d)	$\frac{12 c^{3} d^{2}}{21 a b} \cdot \frac{14 a^{2} b}{8 c^{2} d}$
195797	Solve the Inequality for n	20-3n>7n	$20 - 3 n > 7 n$
195798	Solve for x	4^(-(x-4))=1/16	$4^{- (x - 4)} = \frac{1}{16}$
195799	Find the LCM	2x^2-2 and 4x-4	$2 x^{2} - 2$ and $4 x - 4$
195800	Simplify	( square root of 98)/(2^(1/2))	$\frac{\sqrt{98}}{2^{\frac{1}{2}}}$