Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221001	Solve for p	s=ph+2b	$s = p h + 2 b$
221002	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-6) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(5, - 6)$ and has a slope of $- \frac{3}{5}$ ?
221003	Simplify	(2(x+3))/(x(x-1))*(4x(x+2))/(10(x+3))	$\frac{2 (x + 3)}{x (x - 1)} \cdot \frac{4 x (x + 2)}{10 (x + 3)}$
221004	Solve for x	-(3x+6)=-7(1/2x+1/2)+5/4x	$- (3 x + 6) = - 7 (\frac{1}{2} x + \frac{1}{2}) + \frac{5}{4} x$
221005	Write in Standard Form	(-3i)(10i)	$(- 3 i) (10 i)$
221006	Graph	f(x)=(-2x^2+32)/(3x-12)	$f (x) = \frac{- 2 x^{2} + 32}{3 x - 12}$
221007	Solve for x	19=-4+2/5x+10	$19 = - 4 + \frac{2}{5} x + 10$
221008	Multiply	(q-3/4)(q+1/4)	$(q - \frac{3}{4}) (q + \frac{1}{4})$
221009	Simplify	3/4-1/2+2/3-1/6	$\frac{3}{4} - \frac{1}{2} + \frac{2}{3} - \frac{1}{6}$
221010	Graph	f(x)=x^2+2xy+y^2	$f (x) = x^{2} + 2 x y + y^{2}$
221011	Write as a Function of Q	6Q=14-2P	$6 Q = 14 - 2 P$
221012	Evaluate	Evaluate 6^-8*6^5	Evaluate $6^{- 8} \cdot 6^{5}$
221013	Simplify	2!	$2!$
221014	Solve for d	-96d-7(-29d-1)=100d	$- 96 d - 7 (- 29 d - 1) = 100 d$
221015	Factor by Grouping	ax+ay-x-y	$a x + a y - x - y$
221016	Simplify	((4x^3-16x^2-180x)/(2x^2+10x)*(25-x^2)/(x^2-25))÷((9-x)/(-3x))	$\frac{4 x^{3} - 16 x^{2} - 180 x}{2 x^{2} + 10 x} \cdot \frac{25 - x^{2}}{x^{2} - 25} \div \frac{9 - x}{- 3 x}$
221017	Simplify	((p^-3q^-2)/(q^-3r^5))^4	${(\frac{p^{- 3} q^{- 2}}{q^{- 3} r^{5}})}^{4}$
221018	Simplify	(-4^-5)/(2^-3)	$\frac{- 4^{- 5}}{2^{- 3}}$
221019	Evaluate	-7(4(9-1))	$- 7 (4 (9 - 1))$
221020	Graph	x+y<3 -5x+2y<=10	$x + y < 3$ $- 5 x + 2 y \leq 10$
221021	Simplify	(1-cos(theta))(1+cos(theta))(1+cot(theta)^2)	$(1 - \cos (θ)) (1 + \cos (θ)) (1 + \cot^{2} (θ))$
221022	Solve for t	1/a=1/m+1/t	$\frac{1}{a} = \frac{1}{m} + \frac{1}{t}$
221023	Solve for x	20x=2*2	$20 x = 2 \cdot 2$
221024	Solve for x	x^2-2x<=2	$x^{2} - 2 x \leq 2$
221025	Find the Exact Value	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
221026	Solve for x	3^(x+2)+3^(1-x)>28	$3^{x + 2} + 3^{1 - x} > 28$
221027	Simplify the Radical Expression	(x^(8/9))(x^(1/3))	$(x^{\frac{8}{9}}) (x^{\frac{1}{3}})$
221028	Simplify	(21^635^380^3)/(15^414^930^2)	$\frac{21^{6} \cdot 35^{3} \cdot 80^{3}}{15^{4} \cdot 14^{9} \cdot 30^{2}}$
221029	Simplify	(9^5 square root of 160x^8y^11)/(3^5 square root of 5xy^2)	$\frac{9^{5} \sqrt{160 x^{8} y^{11}}}{3^{5} \sqrt{5 x y^{2}}}$
221030	Solve the System of Equations	6a-4b=3 9a-6b=-1	$6 a - 4 b = 3$ $9 a - 6 b = - 1$
221031	Describe the Transformation	f(x)=-4(x+7)^3	$f (x) = - 4 {(x + 7)}^{3}$
221032	Solve for x	5*11^(x+3)=55	$5 \cdot 11^{x + 3} = 55$
221033	Find f(g(a))	f(a)=2a-1 g(a)=a-5	$f (a) = 2 a - 1$ $g (a) = a - 5$
221034	Solve for x	(2x-3)/6=(2x)/3+1/2	$\frac{(2 x - 3)}{6} = \frac{2 x}{3} + \frac{1}{2}$
221035	Solve for x	-2x-7y=y-4x	$- 2 x - 7 y = y - 4 x$
221036	Solve for X	-3X+4=0	$- 3 X + 4 = 0$
221037	Evaluate	8/6+(-9/5)	$\frac{8}{6} + (- \frac{9}{5})$
221038	Solve the Inequality for x	1/x>1	$\frac{1}{x} > 1$
221039	Graph	g(x)=(x^2+x-6)/(\|x-2\|)	$g (x) = \frac{x^{2} + x - 6}{\| x - 2 \|}$
221040	Simplify the Radical Expression	9^(2/4)	$9^{\frac{2}{4}}$
221041	Solve Over the Interval	2cos(x)-1=0 on 0<=x<2pi	$2 \cos (x) - 1 = 0$ on $0 \leq x < 2 π$
221042	Graph	f(x)=4,x<=-2; x^2,-2=2	$f (x) = {\begin{cases} 4, x \leq - 2 \\ x^{2}, - 2 = 2 \end{cases}$
221043	Find the Domain and Range	y=-3/4sin(x/2)	$y = - \frac{3}{4} \sin (\frac{x}{2})$
221044	Simplify	3 2/3x-4/5(x-3 3/4)	$3 \frac{2}{3} x - \frac{4}{5} (x - 3 \frac{3}{4})$
221045	Solve for n	3/2n-8/3=-29/12	$\frac{3}{2} n - \frac{8}{3} = - \frac{29}{12}$
221046	Evaluate	f(r^2)=x/(\|x\|)	$f (r^{2}) = \frac{x}{\| x \|}$
221047	Evaluate	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
221048	Convert to Radical Form	(10^(3/5))/(10^(3/5))	$\frac{10^{\frac{3}{5}}}{10^{\frac{3}{5}}}$
221049	Simplify	( fourth root of 8* fourth root of 16)/( eighth root of 2* eighth root of 3)	$\frac{\sqrt[4]{8} \cdot \sqrt[4]{16}}{\sqrt[8]{2} \cdot \sqrt[8]{3}}$
221050	Graph	y>=-2x+5 y<=-x^2-x+4	$y \geq - 2 x + 5$ $y \leq - x^{2} - x + 4$
221051	Simplify	((x^18)/(y^-6))^(2/3)	${(\frac{x^{18}}{y^{- 6}})}^{\frac{2}{3}}$
221052	Solve the Inequality for p	\|4p+2\|>=10	$\| 4 p + 2 \| \geq 10$
221053	Solve the Inequality for x	-5<=4-3x<=2	$- 5 \leq 4 - 3 x \leq 2$
221054	Evaluate	square root of 144+25- square root of 144- square root of 25	$\sqrt{144 + 25} - \sqrt{144} - \sqrt{25}$
221055	Solve for d	9(d+3)+23=4D	$9 (d + 3) + 23 = 4 D$
221056	Simplify	2(5x-3y+7)-8+6x	$2 (5 x - 3 y + 7) - 8 + 6 x$
221057	Solve the Inequality for x	-x^2-10x-8<x+2	$- x^{2} - 10 x - 8 < x + 2$
221058	Evaluate	((-6x^2)^3)/((3x^-4)^2)	$\frac{{(- 6 x^{2})}^{3}}{{(3 x^{- 4})}^{2}}$
221059	Solve for z	7-3z-4z=28	$7 - 3 z - 4 z = 28$
221060	Find the Exact Value	5sec(pi/4)+7cot(pi/4)	$5 \sec (\frac{π}{4}) + 7 \cot (\frac{π}{4})$
221061	Factor by Grouping	5x^2+15x+11.25	$5 x^{2} + 15 x + 11.25$
221062	Solve for x	(2x-1)/x-(x+1)/(3x)=2	$\frac{2 x - 1}{x} - \frac{x + 1}{3 x} = 2$
221063	Simplify the Radical Expression	( cube root of a^10b^16)/( cube root of a^5b^4)	$\frac{\sqrt[3]{a^{10} b^{16}}}{\sqrt[3]{a^{5} b^{4}}}$
221064	Evaluate	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
221065	Simplify	x(2x^2-8)	$x (2 x^{2} - 8)$
221066	Factor	-x^3+x	$- x^{3} + x$
221067	Solve by Substitution	11x-7y=-14 and x-2y=-4	$11 x - 7 y = - 14$ and $x - 2 y = - 4$
221068	Solve for x	square root of 2x+8-6=-4	$\sqrt{2 x + 8 - 6} = - 4$
221069	Evaluate	(cos(x)-sin(x))^2	${(\cos (x) - \sin (x))}^{2}$
221070	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+5x^2+3x-10 is divided by x-1	Use synthetic division to find the result when $2 x^{3} + 5 x^{2} + 3 x - 10$ is divided by $x - 1$
221071	Simplify	( square root of 30x^3y^2)( square root of 5x^4y^3)	$(\sqrt{30 x^{3} y^{2}}) (\sqrt{5 x^{4} y^{3}})$
221072	Solve for x	4(2x-(3-x)+5)=-6x-28	$4 (2 x - (3 - x) + 5) = - 6 x - 28$
221073	Solve the Rational Equation for x	square root of x^2+81=x+10	$\sqrt{x^{2} + 81} = x + 10$
221074	Simplify	(3m+10a-15)+(5a+20)	$(3 m + 10 a - 15) + (5 a + 20)$
221075	Evaluate	g(3y)=x^2	$g (3 y) = x^{2}$
221076	Simplify	square root of (1+cos(7A))/2	$\sqrt{\frac{1 + \cos (7 A)}{2}}$
221077	Graph	(x^2+y^2+ax)^2=a^2(x^2+y^2)	${(x^{2} + y^{2} + a x)}^{2} = a^{2} (x^{2} + y^{2})$
221078	Simplify	(-3^2*2^2)/(4^-1)	$\frac{- 3^{2} \cdot 2^{2}}{4^{- 1}}$
221079	Graph	-12<=-6x+3	$- 12 \leq - 6 x + 3$
221080	Graph Using a Table of Values	y=2sin(3x)	$y = 2 \sin (3 x)$
221081	Solve for x	1/4(8x-12)=1/3(9x-6)	$\frac{1}{4} (8 x - 12) = \frac{1}{3} (9 x - 6)$
221082	Solve for t	(t-7)^2+18=9	${(t - 7)}^{2} + 18 = 9$
221083	Simplify the Radical Expression	(2x^(-7/4))/(4x^(4/3))	$\frac{2 x^{- \frac{7}{4}}}{4 x^{\frac{4}{3}}}$
221084	Write in Slope-Intercept Form	(0,5) and (-5,1)	$(0, 5)$ and $(- 5, 1)$
221085	Simplify	(15b-20c)/(10b)	$\frac{15 b - 20 c}{10 b}$
221086	Determine if Dependent, Independent, or Inconsistent	y=-2x+3 4x+2y=9	$y = - 2 x + 3$ $4 x + 2 y = 9$
221087	Graph	tan(theta)>0 and cos(theta)<0	$\tan (θ) > 0$ and $\cos (θ) < 0$
221088	Simplify	(4a^3b^2c^0)/(2ab^-1)	$\frac{4 a^{3} b^{2} c^{0}}{2 a b^{- 1}}$
221089	Simplify/Condense	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
221090	Graph	x<4 and x>-2	$x < 4$ and $x > - 2$
221091	Solve for y	y=(17(4+x)-8x)/(7-x)	$y = \frac{17 (4 + x) - 8 x}{7 - x}$
221092	Simplify	square root of 2i* square root of 6i	$\sqrt{2} i \cdot \sqrt{6} i$
221093	Solve for r	3646=1+5(4r+17)^(3/2)	$3646 = 1 + 5 {(4 r + 17)}^{\frac{3}{2}}$
221094	Simplify	((3xy^-2)^-2)/(3x^-2y)	$\frac{{(3 x y^{- 2})}^{- 2}}{3 x^{- 2} y}$
221095	Solve for x	(6x^2+18x)/(2x^3)=5/x	$\frac{6 x^{2} + 18 x}{2 x^{3}} = \frac{5}{x}$
221096	Rationalize the Denominator	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
221097	Find the Vertices	((x-2)^2)/9-((y-1)^2)/4	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4}$
221098	Multiply	(x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63)	$\frac{x^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x^{2} - 16 x + 63}$
221099	Find the Distance Between Two Points	(-3,9) and (2,5)	$(- 3, 9)$ and $(2, 5)$
221100	Solve for y	-6=9/y	$- 6 = \frac{9}{y}$