Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
44001	Solve the Inequality for x	(x^2+x-6)/(x-7)>=0	$\frac{x^{2} + x - 6}{x - 7} \geq 0$
44002	Solve for X	X/(X+2)+7/(X-5)=14/(X^2-3X-10)	$\frac{X}{X + 2} + \frac{7}{X - 5} = \frac{14}{X^{2} - 3 X - 10}$
44003	Find the Antiderivative	e^(3x)dx	$e^{3 x} d x$
44004	Solve for x	x=2x^2	$x = 2 x^{2}$
44005	Find the Slope	(1,3) and (5,1)	$(1, 3)$ and $(5, 1)$
44006	Find the Exact Value	- cube root of 64	$- \sqrt[3]{64}$
44007	Simplify	20-(4*2)÷(5-3)-2	$20 - (4 \cdot 2) \div (5 - 3) - 2$
44008	Find the Exact Value	log base 3 of 12- log base 3 of 28+ log base 3 of 63	$\log_{3} (12) - \log_{3} (28) + \log_{3} (63)$
44009	Solve for p	p-20%p=72	$p - 20 % p = 72$
44010	Solve for x	(tan(x)-1)(2sin(x)- square root of 3)=0	$(\tan (x) - 1) (2 \sin (x) - \sqrt{3}) = 0$
44011	Solve for x	5/(x-7)=1/(9+x)	$\frac{5}{x - 7} = \frac{1}{9 + x}$
44012	Find the Factors Using the Factor Theorem	x^3-x^2-20x , x+4	$x^{3} - x^{2} - 20 x$ , $x + 4$
44013	Write in Standard Form	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
44014	Find the Asymptotes	f(x)=((x-1)(x+1))/(6(x-4)(x+7))	$f (x) = \frac{(x - 1) (x + 1)}{6 (x - 4) (x + 7)}$
44015	Evaluate	2^4(3*5^5+2^2)	$2^{4} (3 \times 5^{5} + 2^{2})$
44016	Simplify	cube root of x/(y^8)	$\sqrt[3]{\frac{x}{y^{8}}}$
44017	Find the Degree	5x^6y^6+3x^5y^2+4x^3y	$5 x^{6} y^{6} + 3 x^{5} y^{2} + 4 x^{3} y$
44018	Evaluate	-4*180/pi	$- 4 \cdot \frac{180}{π}$
44019	Solve for y	b/y=y/a	$\frac{b}{y} = \frac{y}{a}$
44020	Simplify	( square root of 8* fourth root of 8)÷(12 root of 8)	$\sqrt{8} \cdot \sqrt[4]{8} \div \sqrt[12]{8}$
44021	Find dy/dx	y=3/(4x^2)	$y = \frac{3}{4 x^{2}}$
44022	Evaluate	4x<=12	$4 x \leq 12$
44023	Simplify	( square root of 50)/3+ square root of 108+1/( square root of 2)	$\frac{\sqrt{50}}{3} + \sqrt{108} + \frac{1}{\sqrt{2}}$
44024	Solve the Inequality for x	(3x-4)/(x+2)>0	$\frac{3 x - 4}{x + 2} > 0$
44025	Factor	Factor: 2x^2-9x-11	Factor: $2 x^{2} - 9 x - 11$
44026	Solve for x	-2(6-x)+8=4-4(x+2)	$- 2 (6 - x) + 8 = 4 - 4 (x + 2)$
44027	Solve for c	(6(cx+6))/3=8x-10	$\frac{6 (c x + 6)}{3} = 8 x - 10$
44028	Graph	x+y>2 and x+y>-2	$x + y > 2$ and $x + y > - 2$
44029	Simplify	(-10n^4-9n^3-7n^5)+(13n^4-13n^5+13n^3)	$(- 10 n^{4} - 9 n^{3} - 7 n^{5}) + (13 n^{4} - 13 n^{5} + 13 n^{3})$
44030	Solve by Substitution	2x-2y=-8 and x+2y=-1	$2 x - 2 y = - 8$ and $x + 2 y = - 1$
44031	Evaluate	(b^(1/5))/b	$\frac{b^{\frac{1}{5}}}{b}$
44032	Find the x and y Intercepts	f(x)=4(2x+3)^2	$f (x) = 4 {(2 x + 3)}^{2}$
44033	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+7x^2+19x+21 is divided by x+3	Use the long division method to find the result when $x^{3} + 7 x^{2} + 19 x + 21$ is divided by $x + 3$
44034	Solve the Inequality for n	17>n+4	$17 > n + 4$
44035	Evaluate	(tan(pi/3))/2-1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} - \frac{1}{\sec (\frac{π}{6})}$
44036	Graph Using a Table of Values	2(1/2)^x	$2 {(\frac{1}{2})}^{x}$
44037	Find the End Behavior	y=-(x+3)^2-6	$y = - {(x + 3)}^{2} - 6$
44038	Simplify	3(-4)^3+5	$3 {(- 4)}^{3} + 5$
44039	Graph	-1/2y=1/2x+5	$- \frac{1}{2} y = \frac{1}{2} x + 5$
44040	Find dy/dx	y=(5+3x^3)/(1+2x^3)	$y = \frac{5 + 3 x^{3}}{1 + 2 x^{3}}$
44041	Find the Holes in the Graph	f(x)=((x^2+x)(x^2-8x+16))/((x^2-1)(10x^3-15x))	$f (x) = \frac{(x^{2} + x) (x^{2} - 8 x + 16)}{(x^{2} - 1) (10 x^{3} - 15 x)}$
44042	Evaluate	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
44043	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+6x^2+11x+6 is divided by x+3	Use the long division method to find the result when $x^{3} + 6 x^{2} + 11 x + 6$ is divided by $x + 3$
44044	Solve the Inequality for x	2\|x+4\|-6<=8	$2 \| x + 4 \| - 6 \leq 8$
44045	Evaluate the Limit	limit as x approaches 0 of (x^2)/(1- square root of 1+x^2)	$lim_{x \to 0} \frac{x^{2}}{1 - \sqrt{1 + x^{2}}}$
44046	Simplify the Radical Expression	(5-4 square root of 5)(-2+ square root of 5)	$(5 - 4 \sqrt{5}) (- 2 + \sqrt{5})$
44047	Evaluate the Integral	integral from 0 to pi/2 of 3sin(x)^2cos(x) with respect to x	$\int_{0}^{\frac{π}{2}} 3 \sin^{2} (x) \cos (x) d x$
44048	Solve the System of Inequalities	y<1/2x+3 y>-x-3	$y < \frac{1}{2} x + 3$ $y > - x - 3$
44049	Find the Secant Given the Point	(3, square root of 2)	$(3, \sqrt{2})$
44050	Solve for m	-145=-3m^3+5	$- 145 = - 3 m^{3} + 5$
44051	Solve for y	y = square root of 9+2	$y = \sqrt{9} + 2$
44052	Find the Degree, Leading Term, and Leading Coefficient	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
44053	Solve for θ in Degrees	sin(2theta)-cos(theta)=0	$\sin (2 θ) - \cos (θ) = 0$
44054	Find Amplitude, Period, and Phase Shift	y=3tan(2x+pi)-2	$y = 3 \tan (2 x + π) - 2$
44055	Simplify	((x^0y^2)^3)/(2xy^2*y^-3)	$\frac{{(x^{0} y^{2})}^{3}}{2 x y^{2} \cdot y^{- 3}}$
44056	Evaluate	((5cd)/(3ef^2))^3	${(\frac{5 c d}{3 e f^{2}})}^{3}$
44057	Factor	ac+2bc-6ab-3a^2	$a c + 2 b c - 6 a b - 3 a^{2}$
44058	Find the Roots (Zeros)	f(x)=(x^3-3x^2-4x+12)/(x-3)	$f (x) = \frac{(x^{3} - 3 x^{2} - 4 x + 12)}{(x - 3)}$
44059	Find the Inverse	f(x)=((x^3+7)^(1/5))/7	$f (x) = \frac{{(x^{3} + 7)}^{\frac{1}{5}}}{7}$
44060	Multiply	(5-2)*180	$(5 - 2) \cdot 180$
44061	Write as a Single Logarithm	log base 4 of 8	$\log_{4} (8)$
44062	Convert from Radians to Degrees	(5pi)/4*180/pi	$\frac{5 π}{4} \cdot \frac{180}{π}$
44063	Evaluate	(4/3)(3/5+7/2-2)	$(\frac{4}{3}) (\frac{3}{5} + \frac{7}{2} - 2)$
44064	Write in Standard Form	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
44065	Find the Vertex	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
44066	Solve the Rational Equation for x	2 square root of x+7=5	$2 \sqrt{x} + 7 = 5$
44067	Subtract	(8x+4x^6+4x^5)-(9x^5+7x^6+15x)	$(8 x + 4 x^{6} + 4 x^{5}) - (9 x^{5} + 7 x^{6} + 15 x)$
44068	Solve the System of Inequalities	5/6x-10<=0 3x<=1 1/3	$\frac{5}{6} x - 10 \leq 0$ $3 x \leq 1 \frac{1}{3}$
44069	Solve for a	5a+3+52=90	$5 a + 3 + 52 = 90$
44070	Evaluate	( natural log of 1)/1	$\frac{\ln (1)}{1}$
44071	Evaluate the Integral	integral from 0 to 2 of square root of 2x+1 with respect to x	$\int_{0}^{2} \sqrt{2 x + 1} d x$
44072	Simplify	(tan(2x))/(tan(x))	$\frac{\tan (2 x)}{\tan (x)}$
44073	Find the x and y Intercepts	f(x)=3/4 square root of x+2-3	$f (x) = \frac{3}{4} \sqrt{x + 2} - 3$
44074	Solve for x	10-2^(3x+1)=5	$10 - 2^{3 x + 1} = 5$
44075	Graph	2-2^(-x-1)	$2 - 2^{- x - 1}$
44076	Graph	x+7y<=14 x-2y<=10	$x + 7 y \leq 14$ $x - 2 y \leq 10$
44077	Divide	(-5x^2+2x^3+14)÷(x^2-x-2)	$(- 5 x^{2} + 2 x^{3} + 14) \div (x^{2} - x - 2)$
44078	Solve by Factoring	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
44079	Solve for r	r-7>-10	$r - 7 > - 10$
44080	Evaluate	1*( square root of 2)/2	$1 \cdot \frac{\sqrt{2}}{2}$
44081	Evaluate the Function	f(x)=3^x for x=-5	$f (x) = 3^{x}$ for $x = - 5$
44082	Find Amplitude, Period, and Phase Shift	y=-4cos(x-pi/2)+2	$y = - 4 \cos (x - \frac{π}{2}) + 2$
44083	Find dy/dx	y=arctan( square root of x-6)	$y = \arctan (\sqrt{x - 6})$
44084	Simplify	(y9/8)/(y5/8)	$\frac{y \frac{9}{8}}{y \frac{5}{8}}$
44085	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-2) and has a slope of 1/6 ?	What is the equation of the line that passes through the point $(- 6, - 2)$ and has a slope of $\frac{1}{6}$ ?
44086	Expand the Logarithmic Expression	log base 4 of 64/(a(b-1))	$\log_{4} (\frac{64}{a (b - 1)})$
44087	Solve Using the Quadratic Formula	x^2+bx+12	$x^{2} + b x + 12$
44088	Find the Domain	square root of 8^t-64	$\sqrt{8^{t} - 64}$
44089	Simplify	sixth root of 100b^6	$\sqrt[6]{100 b^{6}}$
44090	Evaluate	cos(pi/4)+cos(pi/4)	$\cos (\frac{π}{4}) + \cos (\frac{π}{4})$
44091	Simplify	(1/n-3)/(3n-1)	$\frac{(\frac{1}{n} - 3)}{3 n - 1}$
44092	Simplify	((5x^2-19x+12)/(10x-30))÷(16-25x^2)	$\frac{5 x^{2} - 19 x + 12}{10 x - 30} \div (16 - 25 x^{2})$
44093	Find the Inverse	f(r)=4pir^2	$f (r) = 4 π r^{2}$
44094	Write the Fraction in Simplest Form	9x^0y^-3	$9 x^{0} y^{- 3}$
44095	Find the Vertex	x^2-y=2x+1	$x^{2} - y = 2 x + 1$
44096	Subtract	Subtract (-a^2-5ab+3b^2) from (3a^2-2ab+3b^2)	Subtract $(- a^{2} - 5 a b + 3 b^{2})$ from $(3 a^{2} - 2 a b + 3 b^{2})$
44097	Solve for x	(3x)/(4x)=(3x+7)/(5x-8)	$\frac{3 x}{4 x} = \frac{3 x + 7}{5 x - 8}$
44098	Simplify	(5 square root of 2)/-5	$\frac{5 \sqrt{2}}{- 5}$
44099	Divide Using Long Polynomial Division	(11x^2+2x^3-20)÷(x^2+x-2)	$(11 x^{2} + 2 x^{3} - 20) \div (x^{2} + x - 2)$
44100	Find the Domain	((6ax)/(m^2-2m))÷((8ax)/(3m-6))	$\frac{6 a x}{m^{2} - 2 m} \div \frac{8 a x}{3 m - 6}$