Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209001	Evaluate the Function	f(x)=10x^3+4x^2-5 at x=-3	$f (x) = 10 x^{3} + 4 x^{2} - 5$ at $x = - 3$
209002	Solve for y	x^2+4y=(x+6)(x-2)	$x^{2} + 4 y = (x + 6) (x - 2)$
209003	Simplify	(4 square root of 125)/(5 square root of 80)	$\frac{4 \sqrt{125}}{5 \sqrt{80}}$
209004	Simplify	1/(a^5a^-4)	$\frac{1}{a^{5} a^{- 4}}$
209005	Simplify	(3 square root of 2x)(2 square root of 6x)	$(3 \sqrt{2 x}) (2 \sqrt{6 x})$
209006	Find All Complex Solutions	x/(x-1)=-2/(x-3)	$\frac{x}{x - 1} = - \frac{2}{x - 3}$
209007	Simplify	fourth root of 81x^2* cube root of 27x^7	$\sqrt[4]{81 x^{2}} \cdot \sqrt[3]{27 x^{7}}$
209008	Solve the Inequality for t	t-12>=12	$t - 12 \geq 12$
209009	Evaluate	y-1-5/(y+3)	$y - 1 - \frac{5}{y + 3}$
209010	Simplify	a^2(8a+9)-10(8a+9)	$a^{2} (8 a + 9) - 10 (8 a + 9)$
209011	Graph	y>=((-2x+3)(x-2))/(x-2)	$y \geq \frac{(- 2 x + 3) (x - 2)}{(x - 2)}$
209012	Simplify	cube root of (-8a^6)/(b^3)	$\sqrt[3]{\frac{- 8 a^{6}}{b^{3}}}$
209013	Subtract	3 square root of 3- square root of 27	$3 \sqrt{3} - \sqrt{27}$
209014	Simplify	(a^2-7)(a+2)-(2a-1)(a-14)	$(a^{2} - 7) (a + 2) - (2 a - 1) (a - 14)$
209015	Find the Roots (Zeros)	-2x^5+2x^4+40x^3	$- 2 x^{5} + 2 x^{4} + 40 x^{3}$
209016	Factor	x^3+1+x^2+x	$x^{3} + 1 + x^{2} + x$
209017	Graph	1/4y^2+x=0	$\frac{1}{4} y^{2} + x = 0$
209018	Evaluate	7^(3x+2)<49	$7^{3 x + 2} < 49$
209019	Graph	x+y=4 3x+3y=12	$x + y = 4$ $3 x + 3 y = 12$
209020	Evaluate	cos(45)^2	$\cos^{2} (45)$
209021	Plot	sin(theta)>0 , cos(theta)>0	$\sin (θ) > 0$ , $\cos (θ) > 0$
209022	Solve for x	(2^(x/5))(2^(x/2))=2^14	$(2^{\frac{x}{5}}) (2^{\frac{x}{2}}) = 2^{14}$
209023	Solve for y	ay+b=cx	$a y + b = c x$
209024	Simplify the Radical Expression	cube root of (9x^6)/(y^3z^9)	$\sqrt[3]{\frac{9 x^{6}}{y^{3} z^{9}}}$
209025	Write the Fraction in Simplest Form	((-4y)^3)/(4y^-8)	$\frac{{(- 4 y)}^{3}}{4 y^{- 8}}$
209026	Simplify	fourth root of 9/12	$\sqrt[4]{\frac{9}{12}}$
209027	Simplify	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
209028	Convert to a Decimal	-2pirad	$- 2 π$ radians
209029	Write in Standard Form	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
209030	Solve for x	(3x+4)/(7x)+5=6/x	$\frac{3 x + 4}{7 x} + 5 = \frac{6}{x}$
209031	Write in Standard Form	7xy+x^3-3y^3-5x^2y^2	$7 x y + x^{3} - 3 y^{3} - 5 x^{2} y^{2}$
209032	Solve for k	13-19k=-10+9(-k-13)	$13 - 19 k = - 10 + 9 (- k - 13)$
209033	Simplify	((t^2)^5(t^4)^2)/((t^3)^7)	$\frac{{(t^{2})}^{5} {(t^{4})}^{2}}{{(t^{3})}^{7}}$
209034	Evaluate	3/2(3^-4)	$\frac{3}{2} (3^{- 4})$
209035	Solve the Inequality for c	2/5c>18	$\frac{2}{5} c > 18$
209036	Simplify	((6ax)/(m^2-2m))÷((8ax)/(3m-6))	$\frac{6 a x}{m^{2} - 2 m} \div \frac{8 a x}{3 m - 6}$
209037	Simplify the Radical Expression	( square root of 25)/( square root of 100)	$\frac{\sqrt{25}}{\sqrt{100}}$
209038	Solve for x	( cube root of 5x-5)/( cube root of 2x)=-1	$\frac{\sqrt[3]{5 x - 5}}{\sqrt[3]{2 x}} = - 1$
209039	Convert to Radical Form	(2x-5)^(-2/5)	${(2 x - 5)}^{- \frac{2}{5}}$
209040	Solve for x	square root of 27^x=81	$\sqrt{27^{x}} = 81$
209041	Graph	y=-3 y=x-3	$y = - 3$ $y = x - 3$
209042	Solve the Rational Equation for x	8-6/x=5+12/x	$8 - \frac{6}{x} = 5 + \frac{12}{x}$
209043	Solve for x	9-4(3x+1)=3(6-3x)-9	$9 - 4 (3 x + 1) = 3 (6 - 3 x) - 9$
209044	Find the Degree	8b^2+9c^4b^5-b	$8 b^{2} + 9 c^{4} b^{5} - b$
209045	Divide	(-1/2)÷(-( square root of 3)/2)	$- \frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
209046	Write in Standard Form	(x-4y)^2	${(x - 4 y)}^{2}$
209047	Multiply	-8mn*(2m-3mp+p^2)	$- 8 m n \cdot (2 m - 3 m p + p^{2})$
209048	Convert to Radical Form	(2x^2+6)^(-1/4)	${(2 x^{2} + 6)}^{- \frac{1}{4}}$
209049	Solve the Inequality for X	3+X<7	$3 + X < 7$
209050	Solve for k	1/3(x-k)=kx	$\frac{1}{3} (x - k) = k x$
209051	Factor by Grouping	2xy+x^2y-6-3x	$2 x y + x^{2} y - 6 - 3 x$
209052	Evaluate	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
209053	Graph	-2(x-3y)=12	$- 2 (x - 3 y) = 12$
209054	Solve the System of Equations	x+7y-8z=-7 -x+y+z=-9 x+8y+6z=-9	$x + 7 y - 8 z = - 7$ $- x + y + z = - 9$ $x + 8 y + 6 z = - 9$
209055	Evaluate the Function	f(3)=1/3(6)^3	$f (3) = \frac{1}{3} {(6)}^{3}$
209056	Graph	F(x) = cube root of x-2+3	$F (x) = \sqrt[3]{x - 2} + 3$
209057	Graph	Graph -14x+21y=84	Graph $- 14 x + 21 y = 84$
209058	Solve for c	square root of 29+4w=23-cw	$\sqrt{29 + 4 w} = 23 - c w$
209059	Solve for x	5/(x^3+5x^2)=4/(x+5)+1/(x^2)	$\frac{5}{x^{3} + 5 x^{2}} = \frac{4}{x + 5} + \frac{1}{x^{2}}$
209060	Solve the Inequality for x	2^x>=32	$2^{x} \geq 32$
209061	Simplify	2x^3y^3+3xy-3x^3y^3+x^2y-xy+2x^2y	$2 x^{3} y^{3} + 3 x y - 3 x^{3} y^{3} + x^{2} y - x y + 2 x^{2} y$
209062	Multiply	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
209063	Evaluate	54\|8-12\|+2\|-6-2\|+4	$54 \| 8 - 12 \| + 2 \| - 6 - 2 \| + 4$
209064	Simplify	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{a^{2} - b^{2}}{a^{2} - 3 a} \cdot \frac{2 a - 6}{{(a + b)}^{2}}$
209065	Solve for x	square root of 9x+1 = square root of 5x+11	$\sqrt{9 x} + 1 = \sqrt{5 x + 11}$
209066	Factor	m(m+n)-3m(m+n)^2	$m \cdot (m + n) - 3 m \cdot {(m + n)}^{2}$
209067	Simplify	(3/(x^2))/( square root of 10-x)	$\frac{\frac{3}{x^{2}}}{\sqrt{10 - x}}$
209068	Simplify	(27^(4/3))/(27^(2/3))	$\frac{27^{\frac{4}{3}}}{27^{\frac{2}{3}}}$
209069	Solve for y	(5y+13)/(5y+4)-(4-6y)/(3y-1)=3	$\frac{5 y + 13}{5 y + 4} - \frac{4 - 6 y}{3 y - 1} = 3$
209070	Find g(f(x))	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
209071	Subtract	(x-4)/(x^2+4x+3)-(x-1)/(x^2-9)	$\frac{x - 4}{x^{2} + 4 x + 3} - \frac{x - 1}{x^{2} - 9}$
209072	Graph	4x+4y<16 x>y+16	$4 x + 4 y < 16$ $x > y + 16$
209073	Find the Degree, Leading Term, and Leading Coefficient	10+(x^2)/6	$10 + \frac{x^{2}}{6}$
209074	Solve for x	6x(x-1)=2-5x	$6 x (x - 1) = 2 - 5 x$
209075	Solve the Inequality for p	-13<=3+8p<=11	$- 13 \leq 3 + 8 p \leq 11$
209076	Evaluate	(t^-2)^6	${(t^{- 2})}^{6}$
209077	Solve for p	3^(p-7)*3^(2p+1)=3^(8p-36)	$3^{p - 7} \cdot 3^{2 p + 1} = 3^{8 p - 36}$
209078	Simplify	1/(sin(x)cot(x))	$\frac{1}{\sin (x) \cot (x)}$
209079	Solve for d	8d=5-2d	$8 d = 5 - 2 d$
209080	Solve by Graphing	y=-1/2x-4 x=-4	$y = - \frac{1}{2} x - 4$ $x = - 4$
209081	Solve for x	(1/4)^(x+2)=6	${(\frac{1}{4})}^{x + 2} = 6$
209082	Solve for x	square root of x+4 = square root of x+20	$\sqrt{x + 4} = \sqrt{x + 20}$
209083	Simplify	square root of (20x^3y^2)/(9xz^3)	$\sqrt{\frac{20 x^{3} y^{2}}{9 x z^{3}}}$
209084	Find All Complex Solutions	81x^4-16=0	$81 x^{4} - 16 = 0$
209085	Factor	(x^2-5x+6)/(x^2-3x)	$\frac{x^{2} - 5 x + 6}{x^{2} - 3 x}$
209086	Write in Standard Form	(3y^2-4y+1)+(-y^2+y-2)	$(3 y^{2} - 4 y + 1) + (- y^{2} + y - 2)$
209087	Write in Standard Form	f(x)=-2/3x^3-8x^4-2x+7	$f (x) = - \frac{2}{3} x^{3} - 8 x^{4} - 2 x + 7$
209088	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x-2x^3-4	$f (x) = x - 2 x^{3} - 4$
209089	Simplify	(cos(arcsec(3)+arctan(2)))/(cos(arctan(2)))	$\frac{\cos (arcsec (3) + \arctan (2))}{\cos (\arctan (2))}$
209090	Solve for x	(3x+8)/x-(3x+3)/(2x)=1	$\frac{3 x + 8}{x} - \frac{3 x + 3}{2 x} = 1$
209091	Solve the Rational Equation for x	1+1/(x+1)=-x/(x+1)	$1 + \frac{1}{x + 1} = - \frac{x}{x + 1}$
209092	Solve the Inequality for x	4/(x+5)<3/(x-3)	$\frac{4}{x + 5} < \frac{3}{x - 3}$
209093	Simplify	(-3x^4)/(-6x^2+(-3x))	$\frac{- 3 x^{4}}{- 6 x^{2} + (- 3 x)}$
209094	Solve the Rational Equation for r	1/(r-2)+1/(r^2-7r+10)=6/(r-2)	$\frac{1}{r - 2} + \frac{1}{r^{2} - 7 r + 10} = \frac{6}{r - 2}$
209095	Solve for x	3x-2=5^(x-1)	$3 x - 2 = 5^{x - 1}$
209096	Solve for x	(2(5-x))/3=7x	$\frac{2 (5 - x)}{3} = 7 x$
209097	Simplify	(5x^4y^0)^-3	${(5 x^{4} y^{0})}^{- 3}$
209098	Evaluate	x^2+4=0	$x^{2} + 4 = 0$
209099	Convert to a Decimal	tan(270)deg	$\tan (270)$ degrees
209100	Solve the System of Equations	y=1/5x-2/5 x-5y=2	$y = \frac{1}{5} x - \frac{2}{5}$ $x - 5 y = 2$