Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198001	Solve for r	14 = square root of r+10+8	$14 = \sqrt{r + 10} + 8$
198002	Solve for x	(2x)/(2x+4)=(3x)/(x+2)	$\frac{2 x}{2 x + 4} = \frac{3 x}{x + 2}$
198003	Solve for f	1+8f=-6+7f	$1 + 8 f = - 6 + 7 f$
198004	Solve for y	-18=7y+9-10y	$- 18 = 7 y + 9 - 10 y$
198005	Find the Exact Value	sin((1pi)/4)	$\sin (\frac{1 π}{4})$
198006	Solve for x	(x-3)/2-(2x+2)/7=-5	$\frac{x - 3}{2} - \frac{2 x + 2}{7} = - 5$
198007	Graph	f(x)(x^2+9)/(x-2)	$f (x) \frac{x^{2} + 9}{x - 2}$
198008	Find the Roots (Zeros)	P(x)=x^5+3x^4-25x^3-79x^2+100	$P (x) = x^{5} + 3 x^{4} - 25 x^{3} - 79 x^{2} + 100$
198009	Solve for x	7x-4=3b	$7 x - 4 = 3 b$
198010	Simplify	square root of 1/(h^-5*h^6)	$\sqrt{\frac{1}{h^{- 5} \cdot h^{6}}}$
198011	Graph	f^-1(x)=x/2+1	$f^{- 1} (x) = \frac{x}{2} + 1$
198012	Simplify	- cube root of 2+3 cube root of 2-4 cube root of 17	$- \sqrt[3]{2} + 3 \sqrt[3]{2} - 4 \sqrt[3]{17}$
198013	Simplify	(2^3)^4*(2^3)^-5	${(2^{3})}^{4} \cdot {(2^{3})}^{- 5}$
198014	Solve for x	1/(2x)+3/(x+7)=-1/x	$\frac{1}{2 x} + \frac{3}{x + 7} = \frac{- 1}{x}$
198015	Solve for n	(5^3)^n=5^18	${(5^{3})}^{n} = 5^{18}$
198016	Solve the System of Equations	x+y=9/10 5x=2y+1	$x + y = \frac{9}{10}$ $5 x = 2 y + 1$
198017	Simplify	x*3x^2	$x \cdot 3 x^{2}$
198018	Simplify	3/4x-1/3x-15/8x	$\frac{3}{4} x - \frac{1}{3} x - \frac{15}{8} x$
198019	Solve for w	\|4w+3\|-2=5	$\| 4 w + 3 \| - 2 = 5$
198020	Convert to Interval Notation	x^3<8x^2	$x^{3} < 8 x^{2}$
198021	Graph	x!	$x!$
198022	Solve for p	3+10p=5	$3 + 10 p = 5$
198023	Simplify	((x^(1/2)y^-2)/(yx^(-7/4)))^4	${(\frac{x^{\frac{1}{2}} y^{- 2}}{y x^{- \frac{7}{4}}})}^{4}$
198024	Divide	((45x^2-42x-48)/(5x-8))	$(\frac{45 x^{2} - 42 x - 48}{5 x - 8})$
198025	Find the x and y Intercepts	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
198026	Solve the Inequality for x	x+1/x>=2	$x + \frac{1}{x} \geq 2$
198027	Find the First Term	a_n=(n(n+1))/2	$a_{n} = \frac{n (n + 1)}{2}$
198028	Factor	(x^4-1)/(x-1)	$\frac{x^{4} - 1}{x - 1}$
198029	Solve the System of Equations	y=x^2+x+9 y=-2x+9	$y = x^{2} + x + 9$ $y = - 2 x + 9$
198030	Solve for x	1/2=2^x	$\frac{1}{2} = 2^{x}$
198031	Graph	y>=-x+4 and y<5	$y \geq - x + 4$ and $y < 5$
198032	Solve for θ	tan(theta)^2+tan(theta)=0	$\tan^{2} (θ) + \tan (θ) = 0$
198033	Graph	y=(5-x)(x+2)(x-3)(2x-1)(x+1)	$y = (5 - x) (x + 2) (x - 3) (2 x - 1) (x + 1)$
198034	Solve the System of Equations	-x+3y+z=-3 x-2y-2z=8 3x-4y-z=6	$- x + 3 y + z = - 3$ $x - 2 y - 2 z = 8$ $3 x - 4 y - z = 6$
198035	Factor	144h^2-49i^2	$144 h^{2} - 49 i^{2}$
198036	Evaluate	(2pi)÷(pi/3)	$2 π \div \frac{π}{3}$
198037	Evaluate	20% of 70	$20 %$ of $70$
198038	Simplify	(8-2)a+9b-(3+2)a+10	$(8 - 2) a + 9 b - (3 + 2) a + 10$
198039	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x-8x^4	$f (x) = 4 x - 8 x^{4}$
198040	Evaluate	(x+y)^2-(x-y)^2	${(x + y)}^{2} - {(x - y)}^{2}$
198041	Solve Using the Quadratic Formula	(2x+3)^2+(x+4)^2=10	${(2 x + 3)}^{2} + {(x + 4)}^{2} = 10$
198042	Simplify the Radical Expression	cube root of 27x^2y^3z^4	$\sqrt[3]{27 x^{2} y^{3} z^{4}}$
198043	Solve for x	-131=-5(3x-8)+6x	$- 131 = - 5 (3 x - 8) + 6 x$
198044	Subtract	1-8/3	$1 - \frac{8}{3}$
198045	Simplify	((2xy)^3)/(x^3)	$\frac{{(2 x y)}^{3}}{x^{3}}$
198046	Simplify	3÷0.3+(1.2)*4-(0.2)^2	$3 \div 0.3 + (1.2) \cdot 4 - {(0.2)}^{2}$
198047	Write in Standard Form	x^2-16=0	$x^{2} - 16 = 0$
198048	Find the First Term	a_n=n-5	$a_{n} = n - 5$
198049	Solve the Inequality for x	x<=(6-x)/(2x-5)	$x \leq \frac{6 - x}{2 x - 5}$
198050	Solve for x	(x+3)(x+2)=x+13	$(x + 3) (x + 2) = x + 13$
198051	Write in Slope-Intercept Form	(-1,-5) and (2,2)	$(- 1, - 5)$ and $(2, 2)$
198052	Graph	x-y<=2 x+2y>=1	$x - y \leq 2$ $x + 2 y \geq 1$
198053	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-20=0	$x^{2} + x - 20 = 0$
198054	Solve for x	\|2x+7\|<=\|3x-1\|	$\| 2 x + 7 \| \leq \| 3 x - 1 \|$
198055	Solve for x	1/2x+1/4=x	$\frac{1}{2} x + \frac{1}{4} = x$
198056	Solve the Absolute Value Inequality for n	\|3n-2\|-2<1	$\| 3 n - 2 \| - 2 < 1$
198057	Evaluate	-5^2-3/8	$- 5^{2} - \frac{3}{8}$
198058	Evaluate	A(t)=p(1+r/n)^(nt)	$A (t) = p {(1 + \frac{r}{n})}^{n t}$
198059	Solve the Inequality for x	1>1/2-3(-2x-1)+9x	$1 > \frac{1}{2} - 3 (- 2 x - 1) + 9 x$
198060	Find the x and y Intercepts	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
198061	Multiply	1/2x*x	$\frac{1}{2} x \cdot x$
198062	Factor	x^3-15-5x+3x^2	$x^{3} - 15 - 5 x + 3 x^{2}$
198063	Factor	P(x)=x^3-9x^2+27x-27	$P (x) = x^{3} - 9 x^{2} + 27 x - 27$
198064	Write in Exponential Form	m root of a^(2m)	$\sqrt[m]{a^{2 m}}$
198065	Factor	-x^3+6x^2-12x+8	$- x^{3} + 6 x^{2} - 12 x + 8$
198066	Solve for x	\|3/7x+6\|-1/2=8	$\| \frac{3}{7} x + 6 \| - \frac{1}{2} = 8$
198067	Simplify	(1/( square root of x))^2-4	${(\frac{1}{\sqrt{x}})}^{2} - 4$
198068	Solve for v	1/2v-12+20=14	$\frac{1}{2} v - 12 + 20 = 14$
198069	Find the End Behavior	f(x)=-x+x^2-6	$f (x) = - x + x^{2} - 6$
198070	Solve the Absolute Value Inequality for x	2=\|x\|-1	$2 = \| x \| - 1$
198071	Simplify	(-2x^-4y^7z^-8)^-4	${(- 2 x^{- 4} y^{7} z^{- 8})}^{- 4}$
198072	Solve for x	3x-2-3(-1+2x)=2-2(x-1)	$3 x - 2 - 3 (- 1 + 2 x) = 2 - 2 (x - 1)$
198073	Solve the Inequality for x	(4-x)(x+3)(x^2-1)<=0	$(4 - x) (x + 3) (x^{2} - 1) \leq 0$
198074	Simplify	(5x+8-6x)(4+2x-7)	$(5 x + 8 - 6 x) (4 + 2 x - 7)$
198075	Solve for x	x/(x+4)=2/(x+2)-(2x)/(x^2+6x+8)	$\frac{x}{x + 4} = \frac{2}{x + 2} - \frac{2 x}{x^{2} + 6 x + 8}$
198076	Solve the Inequality for x	x(x+1)+2<x(x-3)+14	$x (x + 1) + 2 < x (x - 3) + 14$
198077	Find the Exact Value	sec(arctan(- square root of 3))	$\sec (\arctan (- \sqrt{3}))$
198078	Convert to a Decimal	390deg	$390$ degrees
198079	Graph	y=-1/2sec(x)	$y = - \frac{1}{2} \sec (x)$
198080	Divide	(4x^10-5x^9-20x^4)/(4x^2)	$\frac{4 x^{10} - 5 x^{9} - 20 x^{4}}{4 x^{2}}$
198081	Write in Slope-Intercept Form	-5x+6y>=-48	$- 5 x + 6 y \geq - 48$
198082	Factor	x^5-4x^3+8x^2-32	$x^{5} - 4 x^{3} + 8 x^{2} - 32$
198083	Simplify	( square root of 3)/2* square root of 3	$\frac{\sqrt{3}}{2} \cdot \sqrt{3}$
198084	Simplify	6^36*8^63	$6^{36} \cdot 8^{63}$
198085	Evaluate the Function	V(2r)=4/3pir^3	$V (2 r) = \frac{4}{3} π r^{3}$
198086	Multiply	4/34/34/3	$\frac{4}{3} \cdot \frac{4}{3} \cdot \frac{4}{3}$
198087	Evaluate	-csc((5pi)/3)^2	$- \csc^{2} (\frac{5 π}{3})$
198088	Solve Using the Quadratic Formula	10/m+1=4m	$\frac{10}{m} + 1 = 4 m$
198089	Solve for x	2x-(21+x)=-31	$2 x - (21 + x) = - 31$
198090	Solve for a	11-3(a-2)=27	$11 - 3 (a - 2) = 27$
198091	Solve for x	0.2(-x+1)-1.2=2x-(4x+1)	$0.2 (- x + 1) - 1.2 = 2 x - (4 x + 1)$
198092	Solve for a	R/(p(d+a))=g	$\frac{R}{p (d + a)} = g$
198093	Convert to Interval Notation	x-7<2x-5	$x - 7 < 2 x - 5$
198094	Graph	y>-1/3x+2 y>2x-3	$y > - \frac{1}{3} x + 2$ $y > 2 x - 3$
198095	Simplify	(a-b)(a^2-5ab+2)	$(a - b) (a^{2} - 5 a b + 2)$
198096	Solve for D	15(20+D)=420	$15 (20 + D) = 420$
198097	Solve for n	3/n-1/2=(n-5)/n	$\frac{3}{n} - \frac{1}{2} = \frac{n - 5}{n}$
198098	Evaluate	60/360(pi*4^2)	$\frac{60}{360} (π \cdot 4^{2})$
198099	Solve the Inequality for x	square root of x^2-4<=3-x	$\sqrt{x^{2} - 4} \leq 3 - x$
198100	Simplify	(6^33^2)/(2^39^2)	$\frac{6^{3} \cdot 3^{2}}{2^{3} \cdot 9^{2}}$