Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232001	Convert to Interval Notation	x<5 and x>-3	$x < 5$ and $x > - 3$
232002	Solve for x	90+x+x=180	$90 + x + x = 180$
232003	Solve for y	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
232004	Simplify	5x(-4x+3x^2-2)+8(15+9x+4x^2)	$5 x (- 4 x + 3 x^{2} - 2) + 8 (15 + 9 x + 4 x^{2})$
232005	Solve the System of Inequalities	-5m<20 and 6m>-18	$- 5 m < 20$ and $6 m > - 18$
232006	Solve for x	3/4(x-13)=-2(9+x)	$\frac{3}{4} (x - 13) = - 2 (9 + x)$
232007	Evaluate	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
232008	Graph	y>=4 2x-y<3	$y \geq 4$ $2 x - y < 3$
232009	Solve for x	1/2 square root of x-5=2	$\frac{1}{2} \sqrt{x} - 5 = 2$
232010	Multiply	4/5*(-2/9)	$\frac{4}{5} \cdot (- \frac{2}{9})$
232011	Solve for x	(3x+4)^2-36=15x+20	${(3 x + 4)}^{2} - 36 = 15 x + 20$
232012	Simplify	(2-1/2x)^2	${(2 - \frac{1}{2} x)}^{2}$
232013	Graph	f(x)=-x^5+3/4x^2+x	$f (x) = - x^{5} + \frac{3}{4} x^{2} + x$
232014	Solve the System of Equations	-6x-2y=-12 and -3x-6y=9	$- 6 x - 2 y = - 12$ and $- 3 x - 6 y = 9$
232015	Solve for x	2(x/3+4)=12	$2 (\frac{x}{3} + 4) = 12$
232016	Solve for j	5j+2/3=-1/6	$5 j + \frac{2}{3} = - \frac{1}{6}$
232017	Simplify	1/2e^-2(2e^4)^3	$\frac{1}{2} e^{- 2} {(2 e^{4})}^{3}$
232018	Solve for x	(5b)/(8a^3)=x/(24a^3b^2)	$\frac{5 b}{8 a^{3}} = \frac{x}{24 a^{3} b^{2}}$
232019	Simplify	Simplify (x^5)/(x^4)*x	Simplify $\frac{x^{5}}{x^{4}} \cdot x$
232020	Simplify	(3x^2+2y-3)+(2x^2-x+3y)	$(3 x^{2} + 2 y - 3) + (2 x^{2} - x + 3 y)$
232021	Evaluate	23y+50+27y=50y+50	$23 y + 50 + 27 y = 50 y + 50$
232022	Simplify	(48x^5)/(49y^4)*(7y^2)/(16x^3)	$\frac{48 x^{5}}{49 y^{4}} \cdot \frac{7 y^{2}}{16 x^{3}}$
232023	Solve for x	(3x-4)/2=3/(2x-1)	$\frac{3 x - 4}{2} = \frac{3}{2 x - 1}$
232024	Factor by Grouping	x^3+x^2-2x	$x^{3} + x^{2} - 2 x$
232025	Simplify	-6x+8/6-3/2x-1/2+5/2x	$- 6 x + \frac{8}{6} - \frac{3}{2} x - \frac{1}{2} + \frac{5}{2} x$
232026	Write in Slope-Intercept Form	(3,5) and (0,4)	$(3, 5)$ and $(0, 4)$
232027	Simplify	(x+1)/(x^2+x)	$\frac{x + 1}{x^{2} + x}$
232028	Graph	\|x+y\|>=x-y	$\| x + y \| \geq x - y$
232029	Solve for v	r = square root of v/(pih)	$r = \sqrt{\frac{v}{π h}}$
232030	Solve for x	square root of x+2 = square root of x	$\sqrt{x + 2} = \sqrt{x}$
232031	Simplify	(-8r^-5)/(s^-2)	$\frac{- 8 r^{- 5}}{s^{- 2}}$
232032	Write in Exponential Form	fourth root of ( square root of m cube root of n^2)/( square root of p^5)	$\sqrt[4]{\frac{\sqrt{m} \sqrt[3]{n^{2}}}{\sqrt{p^{5}}}}$
232033	Simplify	(ax-ay)/(5x^2y^2)*(-(5xy)/(by-bx))	$\frac{a x - a y}{5 x^{2} y^{2}} \times (- \frac{5 x y}{b y - b x})$
232034	Solve for x	log base 5 of 4x-7 = log base 5 of x+5	$\log_{5} (4 x) - 7 = \log_{5} (x) + 5$
232035	Simplify	6/(n+1)-(6n)/(n+4)	$\frac{6}{n + 1} - \frac{6 n}{n + 4}$
232036	Identify the Conic	(y+3)^2=1/8(x-5)	${(y + 3)}^{2} = \frac{1}{8} (x - 5)$
232037	Solve for x	4/(9x^(2/3))-8/(9x^(5/3))=0	$\frac{4}{9 x^{\frac{2}{3}}} - \frac{8}{9 x^{\frac{5}{3}}} = 0$
232038	Simplify	(6w^5)(2v^2)(w^6)	$(6 w^{5}) (2 v^{2}) (w^{6})$
232039	Simplify	square root of 12b^6 square root of 30b^5	$\sqrt{12 b^{6}} \sqrt{30 b^{5}}$
232040	Simplify	6(x+y)+y+3(x+3)	$6 (x + y) + y + 3 (x + 3)$
232041	Solve for q	4q-5+39=90	$4 q - 5 + 39 = 90$
232042	Solve for s	-6(s+7)=10(3-s)	$- 6 (s + 7) = 10 (3 - s)$
232043	Evaluate	-4+7(1-3m)	$- 4 + 7 (1 - 3 m)$
232044	Solve for x	9=x* square root of 2	$9 = x \cdot \sqrt{2}$
232045	Simplify	( cube root of 16a^5)( cube root of 2a^6)	$(\sqrt[3]{16 a^{5}}) (\sqrt[3]{2 a^{6}})$
232046	Simplify	(-3)(-3)-16÷(4-12)	$(- 3) (- 3) - 16 \div (4 - 12)$
232047	Solve for x	square root of 4^(5(x-2))=16^(3-x)	$\sqrt{4^{5 (x - 2)}} = 16^{3 - x}$
232048	Simplify	(-8a^2-4a^3-2a^4)-(2a^4+6a^3+5)	$(- 8 a^{2} - 4 a^{3} - 2 a^{4}) - (2 a^{4} + 6 a^{3} + 5)$
232049	Solve for n	-5(n-1)=7(n+3)	$- 5 (n - 1) = 7 (n + 3)$
232050	Describe the Transformation	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
232051	Simplify	4a(0^(1/2))b^4(-b)^-7	$4 a (0^{\frac{1}{2}}) b^{4} {(- b)}^{- 7}$
232052	Solve the Inequality for x	8(4x+3)>=-1+7x	$8 (4 x + 3) \geq - 1 + 7 x$
232053	Solve for x	12 cube root of 2x-7=21	$12 \sqrt[3]{2 x - 7} = 21$
232054	Multiply	6*( square root of 3)/2	$6 \cdot \frac{\sqrt{3}}{2}$
232055	Simplify	(2x-1)^2+1	${(2 x - 1)}^{2} + 1$
232056	Evaluate Using the Given Value	Evaluate 8+w/4 when w=16	Evaluate $8 + \frac{w}{4}$ when $w = 16$
232057	Graph	y=-3/2 square root of x-4	$y = - \frac{3}{2} \sqrt{x} - 4$
232058	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,3) and has a slope of 1 ?	What is the equation of the line that passes through the point $(4, 3)$ and has a slope of $1$ ?
232059	Subtract	(7x+5)/(x^2+8x+12)-7/(x+2)	$\frac{7 x + 5}{x^{2} + 8 x + 12} - \frac{7}{x + 2}$
232060	Evaluate	67+2+53^2	$6 \times 7 + 2 + 5 \times 3^{2}$
232061	Solve for x	2xy-x^3=0	$2 x y - x^{3} = 0$
232062	Evaluate	f^-1(x)=1/(f(x))	$f^{- 1} (x) = \frac{1}{f (x)}$
232063	Evaluate	-csc((5pi)/6)^2	$- \csc^{2} (\frac{5 π}{6})$
232064	Simplify	(x^3y^2)^-4*(x^2y^-3)^-2	${(x^{3} y^{2})}^{- 4} \cdot {(x^{2} y^{- 3})}^{- 2}$
232065	Solve for x	-9<\|x-8\|	$- 9 < \| x - 8 \|$
232066	Solve for x	8y=3e^x	$8 y = 3 e^{x}$
232067	Solve for x	tan(x)^2+tan(x)-12=0	$\tan^{2} (x) + \tan (x) - 12 = 0$
232068	Solve the System of Equations	2x-y-4=0 3x+y-9=0	$2 x - y - 4 = 0$ $3 x + y - 9 = 0$
232069	Solve for x	3/(x+5)=(2x+8)/8	$\frac{3}{x + 5} = \frac{2 x + 8}{8}$
232070	Solve the System of Equations	-16+20x-8y=0 36=-18y-22x	$- 16 + 20 x - 8 y = 0$ $36 = - 18 y - 22 x$
232071	Solve for p	square root of 3p+22-4=0	$\sqrt{3 p + 22} - 4 = 0$
232072	Simplify	(2+ square root of 3)+(2- square root of 3)	$(2 + \sqrt{3}) + (2 - \sqrt{3})$
232073	Solve for x	2^x*3^(x+1)=15	$2^{x} \cdot 3^{x + 1} = 15$
232074	Simplify	-3x-8 from 4x^2-7x-2	$- 3 x - 8$ from $4 x^{2} - 7 x - 2$
232075	Write in Slope-Intercept Form	(3,3) and (1,-3)	$(3, 3)$ and $(1, - 3)$
232076	Simplify	(12+6i)/6	$\frac{12 + 6 i}{6}$
232077	Solve the Inequality for x	9x<=12x^2	$9 x \leq 12 x^{2}$
232078	Simplify	4(2x-5(3-x))	$4 (2 x - 5 (3 - x))$
232079	Simplify	(18x^5+6x^4-12x^3)÷6x^2	$(18 x^{5} + 6 x^{4} - 12 x^{3}) \div 6 x^{2}$
232080	Solve for p	m=7-3(p-m)	$m = 7 - 3 (p - m)$
232081	Evaluate	2x(x+1)	$2 x (x + 1)$
232082	Simplify	6z-2y-8z+5y-4+z	$6 z - 2 y - 8 z + 5 y - 4 + z$
232083	Find f(g(x))	f(x)=x-4 g(x)=x^2-10	$f (x) = x - 4$ $g (x) = x^{2} - 10$
232084	Solve for x	2(16^(x+6))-8=35	$2 (16^{x + 6}) - 8 = 35$
232085	Solve for x	216^x=48^(3x+2)	$2 \cdot 16^{x} = 4 \cdot 8^{3 x + 2}$
232086	Simplify	14b-14b+7r	$14 b - 14 b + 7 r$
232087	Write in Standard Form	3-4x^5+2x^2+10	$3 - 4 x^{5} + 2 x^{2} + 10$
232088	Evaluate	pi/2-1.5	$\frac{π}{2} - 1.5$
232089	Evaluate	1/2(4)^2(3pi)/4	$\frac{1}{2} {(4)}^{2} \frac{3 π}{4}$
232090	Simplify the Radical Expression	((x^2-25)/(x^2+7x+10))÷((x-5)/(4(x+2)))	$\frac{x^{2} - 25}{x^{2} + 7 x + 10} \div \frac{x - 5}{4 (x + 2)}$
232091	Find the Roots (Zeros)	f(x)=2x^3+24x+16x^2	$f (x) = 2 x^{3} + 24 x + 16 x^{2}$
232092	Simplify	((a^-2b^-1c^-4)/(a^4b^-3c^0))^-3	${(\frac{a^{- 2} b^{- 1} c^{- 4}}{a^{4} b^{- 3} c^{0}})}^{- 3}$
232093	Solve for y	2/3y+3/8y=5	$\frac{2}{3} y + \frac{3}{8} y = 5$
232094	Simplify the Radical Expression	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
232095	Find the Domain and Range	f(x)=e^(1-x^2)+7	$f (x) = e^{1 - x^{2}} + 7$
232096	Solve by Addition/Elimination	ax-by=c ax-by=c	$a x - b y = c$ $a x - b y = c$
232097	Write in Standard Form	x=1/2y^2+2y+11	$x = \frac{1}{2} y^{2} + 2 y + 11$
232098	Solve for x	(-6(x+9))/-6+3x=25	$\frac{- 6 (x + 9)}{- 6} + 3 x = 25$
232099	Determine if Dependent, Independent, or Inconsistent	4x=2y-6 2x+4=y	$4 x = 2 y - 6$ $2 x + 4 = y$
232100	Solve for x	-1/4x-12=x+3	$- \frac{1}{4} x - 12 = x + 3$