Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229001	Evaluate	(33/21)(2/3)(1/2)	$(\frac{33}{21}) (\frac{2}{3}) (\frac{1}{2})$
229002	Solve for x	17-x=1/3*15+6	$17 - x = \frac{1}{3} \cdot 15 + 6$
229003	Solve the Inequality for p	-2>=4p+6+4	$- 2 \geq 4 p + 6 + 4$
229004	Simplify	y(-2-(y-4))	$y (- 2 - (y - 4))$
229005	Solve for x	-4(x+4x)=2(2-x)+10	$- 4 (x + 4 x) = 2 (2 - x) + 10$
229006	Solve for b	square root of 2b-6 = square root of 3b-14	$\sqrt{2 b - 6} = \sqrt{3 b - 14}$
229007	Find the Roots (Zeros)	4x^3+x^2-12x-3=0	$4 x^{3} + x^{2} - 12 x - 3 = 0$
229008	Convert to a Decimal	sin(165)deg	$\sin (165)$ degrees
229009	Simplify	(4-x)(x^2-3x)	$(4 - x) (x^{2} - 3 x)$
229010	Find the 5th Term	1/4 , 1/6 , 1/9 , 2/27	$\frac{1}{4}$ , $\frac{1}{6}$ , $\frac{1}{9}$ , $\frac{2}{27}$
229011	Find the Exact Value	cot(pi/2)-sin(pi/2)	$\cot (\frac{π}{2}) - \sin (\frac{π}{2})$
229012	Graph	x^2+y^2<=16 x^2-y>2	$x^{2} + y^{2} \leq 16$ $x^{2} - y > 2$
229013	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 2, 1)$ and has a slope of $\frac{3}{2}$ ?
229014	Graph	r(x)=2+(x+1)/(x-3)	$r (x) = 2 + \frac{x + 1}{x - 3}$
229015	Find the x and y Intercepts	f(x)=-1/3x^6	$f (x) = - \frac{1}{3} x^{6}$
229016	Simplify	x/2*x/2	$\frac{x}{2} \cdot \frac{x}{2}$
229017	Simplify the Radical Expression	cube root of -500/(x^12)	$\sqrt[3]{\frac{- 500}{x^{12}}}$
229018	Factor by Grouping	a^2-25b^2	$a^{2} - 25 b^{2}$
229019	Divide	( fourth root of 32)÷( fourth root of 2)	$\sqrt[4]{32} \div \sqrt[4]{2}$
229020	Solve for x	h=4(x+3y)+2	$h = 4 (x + 3 y) + 2$
229021	Graph	5x-y<-6 3x-y>=4	$5 x - y < - 6$ $3 x - y \geq 4$
229022	Expand Using the Binomial Theorem	( square root of a+ square root of b)^12	${(\sqrt{a} + \sqrt{b})}^{12}$
229023	Graph	-9<\|x-8\|	$- 9 < \| x - 8 \|$
229024	Factor	(21x^2+28x)	$(21 x^{2} + 28 x)$
229025	Solve the Rational Equation for a	3 square root of 4a=42	$3 \sqrt{4 a} = 42$
229026	Simplify	(-4/2)^2	${(- \frac{4}{2})}^{2}$
229027	Convert to Scientific Notation	(10^6)/(10^3)	$\frac{10^{6}}{10^{3}}$
229028	Multiply	(x^2+x+3)(x^3-x^2+4)	$(x^{2} + x + 3) (x^{3} - x^{2} + 4)$
229029	Write in Standard Form	(x-3)(x-3)(x-3)	$(x - 3) (x - 3) (x - 3)$
229030	Simplify	(3c^2-7)+(4c+7)-(c^2+5c-8)	$(3 c^{2} - 7) + (4 c + 7) - (c^{2} + 5 c - 8)$
229031	Find the Inverse	f(x)=2*3^(2x)+4	$f (x) = 2 \cdot 3^{2 x} + 4$
229032	Multiply	(6c^2+13c-63)/(6c^2-17c+7)*(2c^2-9c+4)/(12c+54)	$\frac{6 c^{2} + 13 c - 63}{6 c^{2} - 17 c + 7} \cdot \frac{2 c^{2} - 9 c + 4}{12 c + 54}$
229033	Simplify	((8k^-5)(2k^3))/(4k^-6)	$\frac{(8 k^{- 5}) (2 k^{3})}{4 k^{- 6}}$
229034	Solve the Inequality for a	(a-1)/a<0	$\frac{a - 1}{a} < 0$
229035	Find the Exact Value	1+tan(pi/6)^2	$1 + \tan^{2} (\frac{π}{6})$
229036	Simplify	(5x)/(2x^2-6x)-(2x)/(x^2-3x)	$\frac{5 x}{2 x^{2} - 6 x} - \frac{2 x}{x^{2} - 3 x}$
229037	Solve for g	-9-5(10g-3)<=3g-6+8	$- 9 - 5 (10 g - 3) \leq 3 g - 6 + 8$
229038	Factor	a^2x+3ax+2x-a^2y-3ay-2y	$a^{2} x + 3 a x + 2 x - a^{2} y - 3 a y - 2 y$
229039	Factor	x^2-4x+4=20	$x^{2} - 4 x + 4 = 20$
229040	Simplify	(4^05^-26^-1*100^0)/(2^-1)	$\frac{4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0}}{2^{- 1}}$
229041	Divide	((x^2+x-12)/(9x^2-1))÷((x^2-5x+6)/(3x^2-5x-2))	$\frac{x^{2} + x - 12}{9 x^{2} - 1} \div \frac{x^{2} - 5 x + 6}{3 x^{2} - 5 x - 2}$
229042	Simplify	((2x^2+7x-4)/(x^2+8x+15))÷((x+4)/(x^2+10x+25))	$\frac{2 x^{2} + 7 x - 4}{x^{2} + 8 x + 15} \div \frac{x + 4}{x^{2} + 10 x + 25}$
229043	Solve for a	3/7+a=4/7	$\frac{3}{7} + a = \frac{4}{7}$
229044	Write in Slope-Intercept Form	-x/5+(2y)/3=-6 1/6	$- \frac{x}{5} + \frac{2 y}{3} = - 6 \frac{1}{6}$
229045	Solve by Completing the Square	y=x^2+8x+25	$y = x^{2} + 8 x + 25$
229046	Solve for x	2csc(x)cot(x)=4/3	$2 \csc (x) \cot (x) = \frac{4}{3}$
229047	Describe the Transformation	f(x)=- square root of 5x	$f (x) = - \sqrt{5 x}$
229048	Find the Excluded Values	1/(x-1)+5=11/(x-1)	$\frac{1}{x - 1} + 5 = \frac{11}{x - 1}$
229049	Solve the System of Inequalities	4x+5y>=-6 -2x+7y>=20	$4 x + 5 y \geq - 6$ $- 2 x + 7 y \geq 20$
229050	Simplify	(y^2-2y-15)/(4y^2+8y)*(4y-20)/(y+3)	$\frac{y^{2} - 2 y - 15}{4 y^{2} + 8 y} \cdot \frac{4 y - 20}{y + 3}$
229051	Simplify	square root of -1+2	$\sqrt{- 1} + 2$
229052	Simplify	(4x^-2y^(7/2))/( square root of 16xy^3)	$\frac{4 x^{- 2} y^{\frac{7}{2}}}{\sqrt{16 x y^{3}}}$
229053	Solve for x	2x+e^x=0	$2 x + e^{x} = 0$
229054	Solve by Substitution	y=4x+2 and y=3x+1	$y = 4 x + 2$ and $y = 3 x + 1$
229055	Divide	(9x^5y)/(3x^6y^7)	$\frac{9 x^{5} y}{3 x^{6} y^{7}}$
229056	Solve for x	x-1=1/2	$x - 1 = \frac{1}{2}$
229057	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x=2	$x^{2} + x = 2$
229058	Simplify	(27xy^2z^2)(-3x^5y^3)	$(27 x y^{2} z^{2}) (- 3 x^{5} y^{3})$
229059	Solve the System of Equations	-x-y=-9 and -3x-2y=-28	$- x - y = - 9$ and $- 3 x - 2 y = - 28$
229060	Write the Fraction in Simplest Form	((-2hk^4)^3)/(2h^-8k^-8)	$\frac{{(- 2 h k^{4})}^{3}}{2 h^{- 8} k^{- 8}}$
229061	Multiply	6 square root of 3* square root of 3*4 square root of 4	$6 \sqrt{3} \cdot \sqrt{3} \cdot 4 \sqrt{4}$
229062	Find the Roots (Zeros)	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
229063	Graph	The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?	The graph of $y = f (x)$ is the solid black graph below. Which function represents the dotted graph?
229064	Simplify	8x^6y(2x^-1y)^3	$8 x^{6} y {(2 x^{- 1} y)}^{3}$
229065	Factor	x^2-(y+4)x-(2y^2+y-3)	$x^{2} - (y + 4) x - (2 y^{2} + y - 3)$
229066	Evaluate	(- cube root of -18)^2	${(- \sqrt[3]{- 18})}^{2}$
229067	Simplify	i^8-i^9+i^10	$i^{8} - i^{9} + i^{10}$
229068	Simplify	( square root of 2+ square root of 3)/( square root of 3- square root of 8)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{8}}$
229069	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (8,6) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(8, 6)$ and has a slope of $\frac{3}{2}$ ?
229070	Solve for x	square root of 5+x=x^2	$\sqrt{5} + x = x^{2}$
229071	Find All Complex Solutions	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
229072	Solve the Inequality for x	10^(2x+7)>=1000^x	$10^{2 x + 7} \geq 1000^{x}$
229073	Graph	y>1/2x+1 y+3x<=6	$y > \frac{1}{2} x + 1$ $y + 3 x \leq 6$
229074	Simplify	7(x+y)-7x	$7 (x + y) - 7 x$
229075	Find the Axis of Symmetry	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
229076	Solve for x	cos(x)^2=sin(x)	$\cos^{2} (x) = \sin (x)$
229077	Find All Complex Solutions	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
229078	Simplify the Radical Expression	25 square root of 7(2 square root of 2)	$25 \sqrt{7} (2 \sqrt{2})$
229079	Solve for x	(x+8)/10=0	$\frac{x + 8}{10} = 0$
229080	Factor	x^4-x^2+2x+2	$x^{4} - x^{2} + 2 x + 2$
229081	Evaluate	-5+2x^2=-6x	$- 5 + 2 x^{2} = - 6 x$
229082	Graph	4<1+n/7	$4 < 1 + \frac{n}{7}$
229083	Write in Standard Form	(3-z^5)/3	$\frac{3 - z^{5}}{3}$
229084	Solve for y	-12/y=y-7	$\frac{- 12}{y} = y - 7$
229085	Simplify	((4^2)^-1)/(4^-1)	$\frac{{(4^{2})}^{- 1}}{4^{- 1}}$
229086	Solve for r	25+r=-5(2+8r)+6r	$25 + r = - 5 (2 + 8 r) + 6 r$
229087	Solve for w	96+2w=2(80-3w)	$96 + 2 w = 2 (80 - 3 w)$
229088	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+14x^3+13x^2+24x+16 is divided by x+4	Use synthetic division to find the result when $3 x^{4} + 14 x^{3} + 13 x^{2} + 24 x + 16$ is divided by $x + 4$
229089	Simplify the Radical Expression	cube root of -1/125	$\sqrt[3]{- \frac{1}{125}}$
229090	Simplify	square root of (80x^3)/(25y^2)	$\sqrt{\frac{80 x^{3}}{25 y^{2}}}$
229091	Simplify the Radical Expression	square root of a/b	$\sqrt{\frac{a}{b}}$
229092	Solve the System of Equations	y=-2/3x+2 2x+3y=6	$y = - \frac{2}{3} x + 2$ $2 x + 3 y = 6$
229093	Solve by Substitution	1/3x-y=3 2x+y=25	$\frac{1}{3} x - y = 3$ $2 x + y = 25$
229094	Simplify the Radical Expression	square root of 36ab^4c^5	$\sqrt{36 a b^{4} c^{5}}$
229095	Evaluate	2/3(4)^(3/2)-4(4)^(1/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}} - 4 {(4)}^{\frac{1}{2}}$
229096	Simplify	-2 cube root of 6y(-5 cube root of 9y^2)	$- 2 \sqrt[3]{6 y} (- 5 \sqrt[3]{9 y^{2}})$
229097	Find the Product	(-3x^5y)(-4x^9y^2)	$(- 3 x^{5} y) (- 4 x^{9} y^{2})$
229098	Simplify	cube root of 1000x^6y^5	$\sqrt[3]{1000 x^{6}} y^{5}$
229099	Simplify	(5xy)(6yz)(7xz)	$(5 x y) (6 y z) (7 x z)$
229100	Factor	Factor x^2+9x+20	Factor $x^{2} + 9 x + 20$