Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195701	Find the Parabola with Focus (7,0) and Directrix x=-7	(7,0) x=-7	$(7, 0)$ $x = - 7$
195702	Solve for x	3+x/5+16=22	$3 + \frac{x}{5} + 16 = 22$
195703	Solve for y	4=3y^2+11y	$4 = 3 y^{2} + 11 y$
195704	Find All Complex Solutions	tan(theta)^2-3=0	$\tan^{2} (θ) - 3 = 0$
195705	Find the x and y Intercepts	P(x)=x^3+5x^2-14x	$P (x) = x^{3} + 5 x^{2} - 14 x$
195706	Solve for x	-5/4x=-x+3(-1/3x+1)+1	$- \frac{5}{4} x = - x + 3 (- \frac{1}{3} x + 1) + 1$
195707	Solve for x	\|(2x+7)/(x-1)\|>=1	$\| \frac{2 x + 7}{x - 1} \| \geq 1$
195708	Multiply	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
195709	Solve for v	v^2+4v+9=-2v	$v^{2} + 4 v + 9 = - 2 v$
195710	Find the End Behavior	f(x)=3x^6+270x^3-1701x+180x^4-405x^2+39x^5-1458	$f (x) = 3 x^{6} + 270 x^{3} - 1701 x + 180 x^{4} - 405 x^{2} + 39 x^{5} - 1458$
195711	Solve for x	2/x=1-2/(x+3)	$\frac{2}{x} = 1 - \frac{2}{x + 3}$
195712	Multiply	x*4x^2	$x \cdot 4 x^{2}$
195713	Solve the Inequality for k	(4k-1)/3-(2k+1)/7>k	$\frac{4 k - 1}{3} - \frac{2 k + 1}{7} > k$
195714	Solve for d	-7d-3>2d-10	$- 7 d - 3 > 2 d - 10$
195715	Solve for x	1^2+x^2=5^2	$1^{2} + x^{2} = 5^{2}$
195716	Find the Product	3 square root of 10(y^2 square root of 4+ square root of 8y)	$3 \sqrt{10} (y^{2} \sqrt{4} + \sqrt{8 y})$
195717	Solve for x	x^2+x-6<=0	$x^{2} + x - 6 \leq 0$
195718	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x(x-3)^2	$f (x) = x {(x - 3)}^{2}$
195719	Simplify	11/(b-7)-(2b-3)/(b-7)	$\frac{11}{b - 7} - \frac{2 b - 3}{b - 7}$
195720	Simplify	((2a)/(4b^3))^3	${(\frac{2 a}{4 b^{3}})}^{3}$
195721	Graph	f(x)=(h(x))/(x^2-6x+8)	$f (x) = \frac{h (x)}{x^{2} - 6 x + 8}$
195722	Solve for x	-2x+4(-1/4x+7/2)=-(x-1)-8x	$- 2 x + 4 (- \frac{1}{4} x + \frac{7}{2}) = - (x - 1) - 8 x$
195723	Factor by Grouping	14x^2y^2-28x^3+56x^4	$14 x^{2} y^{2} - 28 x^{3} + 56 x^{4}$
195724	Solve for y	x=y/(y+1)	$x = \frac{y}{y + 1}$
195725	Graph	slope 0	slope $0$
195726	Solve the System of Inequalities	-15x+60<=105 ; AND , 14x+11<=-31	$- 15 x + 60 \leq 105$ ; AND , $14 x + 11 \leq - 31$
195727	Simplify	square root of x^3 cube root of y	$\sqrt{x^{3}} \sqrt[3]{y}$
195728	Find the Distance Between Two Points	(-1,9) and (4,-3)	$(- 1, 9)$ and $(4, - 3)$
195729	Solve for x	-2/3x+1/4=1/4x+3	$- \frac{2}{3} x + \frac{1}{4} = \frac{1}{4} x + 3$
195730	Simplify	2(4z-2x+y)-4(5z+x-y)	$2 (4 z - 2 x + y) - 4 (5 z + x - y)$
195731	Multiply	(-3/2)^2	${(- \frac{3}{2})}^{2}$
195732	Solve the Inequality for x	1/(x+1)+1/(x+2)<=0	$\frac{1}{x + 1} + \frac{1}{x + 2} \leq 0$
195733	Solve for c	5/(3c)=1/6	$\frac{5}{3 c} = \frac{1}{6}$
195734	Simplify	( cube root of 27x)/( cube root of 9)	$\frac{\sqrt[3]{27 x}}{\sqrt[3]{9}}$
195735	Solve the Absolute Value Inequality for x	5\|x-5\|+6<=11	$5 \| x - 5 \| + 6 \leq 11$
195736	Solve for x	1/4x+5/3x-4=2-1/12x	$\frac{1}{4} x + \frac{5}{3} x - 4 = 2 - \frac{1}{12} x$
195737	Graph	y<=3x+2 and 2y>6x-4	$y \leq 3 x + 2$ and $2 y > 6 x - 4$
195738	Solve for a	4y(ay^2-7y+b)=24y^3-28y^2-8y	$4 y (a y^{2} - 7 y + b) = 24 y^{3} - 28 y^{2} - 8 y$
195739	Simplify	3/(2x+5)+5/(x-5)	$\frac{3}{2 x + 5} + \frac{5}{x - 5}$
195740	Simplify	-2/3(5/6x-3)	$- \frac{2}{3} (\frac{5}{6} x - 3)$
195741	Solve for n	2^(n+1)+5n=2	$2^{n + 1} + 5 n = 2$
195742	Simplify	(x-y+1)-(x+y-1)	$(x - y + 1) - (x + y - 1)$
195743	Graph	y=x^(-2/3)	$y = x^{- \frac{2}{3}}$
195744	Evaluate	-1/2-( square root of 3)/2	$- \frac{1}{2} - \frac{\sqrt{3}}{2}$
195745	Find C(R(x))	C(x)=8.50x+10 R(x)=15x	$C (x) = 8.5 x + 10$ $R (x) = 15 x$
195746	Find f(g(x))	f(x)=3x+2 , g(x) = square root of x	$f (x) = 3 x + 2$ , $g (x) = \sqrt{x}$
195747	Simplify	(x^3-x+1)-(3x-1)	$(x^{3} - x + 1) - (3 x - 1)$
195748	Graph	y=cos(\|x\|)	$y = \cos (\| x \|)$
195749	Evaluate Using the Given Value	7r-15/s when r=3 and s=5	$7 r - \frac{15}{s}$ when $r = 3$ and $s = 5$
195750	Solve for x	-5(x-4)>=2(1-x)	$- 5 (x - 4) \geq 2 (1 - x)$
195751	Evaluate	(-10x^2+9)+(8x^2-5x+7)	$(- 10 x^{2} + 9) + (8 x^{2} - 5 x + 7)$
195752	Solve for w	64w^2+96w+36=0	$64 w^{2} + 96 w + 36 = 0$
195753	Graph Using a Table of Values	f(x)=5^x+3	$f (x) = 5^{x} + 3$
195754	Solve for r	q=r+s-t	$q = r + s - t$
195755	Simplify	(8+ square root of 4)/(2(4))	$\frac{8 + \sqrt{4}}{2 (4)}$
195756	Find the Roots (Zeros)	1/2x^2+5/2x-3/2	$\frac{1}{2} x^{2} + \frac{5}{2} x - \frac{3}{2}$
195757	Solve the System of Inequalities	3x>=-12 and 8x<=16	$3 x \geq - 12$ and $8 x \leq 16$
195758	Solve the Inequality for m	m-2<-8	$m - 2 < - 8$
195759	Graph	p(x)=(2x-1)^2(x-2)^3	$p (x) = {(2 x - 1)}^{2} {(x - 2)}^{3}$
195760	Describe the Transformation	y = square root of 1/3x+3-4	$y = \sqrt{\frac{1}{3} x + 3} - 4$
195761	Factor	36a^6b+24cy^5-12d	$36 a^{6} b + 24 c y^{5} - 12 d$
195762	Solve for x	2/(x+1)+x/(x+4)=1/2	$\frac{2}{x + 1} + \frac{x}{x + 4} = \frac{1}{2}$
195763	Convert to a Simplified Fraction	0.4 as a fraction	$0.4$ as a fraction
195764	Solve the Inequality for x	(x^2-16)(x-1)(x+2)>0	$(x^{2} - 16) (x - 1) (x + 2) > 0$
195765	Simplify	(cd^4)/(c^2d^8)	$\frac{c d^{4}}{c^{2} d^{8}}$
195766	Evaluate	e^(-infinity^2)	$e^{- \infty^{2}}$
195767	Solve for x	\|2x+5\|+4>1	$\| 2 x + 5 \| + 4 > 1$
195768	Solve the Absolute Value Inequality for x	4\|x-8\|-6<=14	$4 \| x - 8 \| - 6 \leq 14$
195769	Simplify	(x^2+6)/( square root of 1-x)	$\frac{x^{2} + 6}{\sqrt{1 - x}}$
195770	Evaluate	5+2x=2x+6	$5 + 2 x = 2 x + 6$
195771	Evaluate	3((7+8)2+6)	$3 \cdot ((7 + 8) \cdot 2 + 6)$
195772	Solve for x	6x-12y=18 for x	$6 x - 12 y = 18$ for $x$
195773	Solve for d	d-c-e=17	$d - c - e = 17$
195774	Find the x and y Intercepts	0	$0$
195775	Solve for x	-5/8+x=-7/24	$- \frac{5}{8} + x = - \frac{7}{24}$
195776	Solve for m	log base 3 of m+4-3=-4	$\log_{3} (m + 4) - 3 = - 4$
195777	Find the Product	(a-b)(a-b)	$(a - b) (a - b)$
195778	Graph Using a Table of Values	x^2+y^2=25	$x^{2} + y^{2} = 25$
195779	Solve the System of Equations	3x-2y=10 x=2	$3 x - 2 y = 10$ $x = 2$
195780	Evaluate the Function	f(x)=x^3+x^2-3x+9 for x=-4	$f (x) = x^{3} + x^{2} - 3 x + 9$ for $x = - 4$
195781	Simplify	(12c^3d^2)/(21ab)*(14a^2b)/(8c^2d)	$\frac{12 c^{3} d^{2}}{21 a b} \cdot \frac{14 a^{2} b}{8 c^{2} d}$
195782	Solve the Inequality for n	20-3n>7n	$20 - 3 n > 7 n$
195783	Solve for x	4^(-(x-4))=1/16	$4^{- (x - 4)} = \frac{1}{16}$
195784	Find the LCM	2x^2-2 and 4x-4	$2 x^{2} - 2$ and $4 x - 4$
195785	Simplify	( square root of 98)/(2^(1/2))	$\frac{\sqrt{98}}{2^{\frac{1}{2}}}$
195786	Find the Complex Conjugate	(9i)/(-2+7i)	$\frac{9 i}{- 2 + 7 i}$
195787	Evaluate	(((360÷2)÷3)÷5)÷2	$360 \div 2 \div 3 \div 5 \div 2$
195788	Solve for w	w-4 2/5=1/10	$w - 4 \frac{2}{5} = \frac{1}{10}$
195789	Convert to Radical Form	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
195790	Solve for x	x=(2 square root of 2)^2	$x = {(2 \sqrt{2})}^{2}$
195791	Find the Exact Value	csc(75 degrees )	$\csc (75 °)$
195792	Solve for x	0x=0	$0 x = 0$
195793	Solve the Inequality for x	6+3(x+1)>7+4(x-1)	$6 + 3 (x + 1) > 7 + 4 (x - 1)$
195794	Find the x and y Intercepts	f(x)=(x^2+2x-48)/(3x^2-18x)	$f (x) = \frac{x^{2} + 2 x - 48}{3 x^{2} - 18 x}$
195795	Simplify	-2(2x-19)-5(x-6)-4	$- 2 (2 x - 19) - 5 (x - 6) - 4$
195796	Solve for a	5a=3-ab	$5 a = 3 - a b$
195797	Solve the Absolute Value Inequality for x	6\|6-4x\|=8x+4	$6 \| 6 - 4 x \| = 8 x + 4$
195798	Solve for x	2\|4x-1\|=3\|4x+2\|	$2 \| 4 x - 1 \| = 3 \| 4 x + 2 \|$
195799	Find the Holes in the Graph	f(x)=(3x+6)/x	$f (x) = \frac{3 x + 6}{x}$
195800	Simplify	(2x^2y^2-3xy^2+4x^2y-3)+(4xy^2-3x^2y^2+2x^2y-4)	$(2 x^{2} y^{2} - 3 x y^{2} + 4 x^{2} y - 3) + (4 x y^{2} - 3 x^{2} y^{2} + 2 x^{2} y - 4)$