Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235101	Evaluate	(tan(pi/3))/2-1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} - \frac{1}{\sec (\frac{π}{6})}$
235102	Graph Using a Table of Values	2(1/2)^x	$2 {(\frac{1}{2})}^{x}$
235103	Find the End Behavior	y=-(x+3)^2-6	$y = - {(x + 3)}^{2} - 6$
235104	Simplify	3(-4)^3+5	$3 {(- 4)}^{3} + 5$
235105	Graph	-1/2y=1/2x+5	$- \frac{1}{2} y = \frac{1}{2} x + 5$
235106	Find the Holes in the Graph	f(x)=((x^2+x)(x^2-8x+16))/((x^2-1)(10x^3-15x))	$f (x) = \frac{(x^{2} + x) (x^{2} - 8 x + 16)}{(x^{2} - 1) (10 x^{3} - 15 x)}$
235107	Evaluate	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
235108	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 $x + 3$
235109	Solve the Inequality for x	2\|x+4\|-6<=8	$2 \| x + 4 \| - 6 \leq 8$
235110	Simplify the Radical Expression	(5-4 square root of 5)(-2+ square root of 5)	$(5 - 4 \sqrt{5}) (- 2 + \sqrt{5})$
235111	Solve the System of Inequalities	y<1/2x+3 y>-x-3	$y < \frac{1}{2} x + 3$ $y > - x - 3$
235112	Solve for m	-145=-3m^3+5	$- 145 = - 3 m^{3} + 5$
235113	Solve for y	y = square root of 9+2	$y = \sqrt{9} + 2$
235114	Find the Degree, Leading Term, and Leading Coefficient	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
235115	Simplify	((x^0y^2)^3)/(2xy^2*y^-3)	$\frac{{(x^{0} y^{2})}^{3}}{2 x y^{2} \cdot y^{- 3}}$
235116	Evaluate	((5cd)/(3ef^2))^3	${(\frac{5 c d}{3 e f^{2}})}^{3}$
235117	Factor	ac+2bc-6ab-3a^2	$a c + 2 b c - 6 a b - 3 a^{2}$
235118	Find the Roots (Zeros)	f(x)=(x^3-3x^2-4x+12)/(x-3)	$f (x) = \frac{(x^{3} - 3 x^{2} - 4 x + 12)}{(x - 3)}$
235119	Find the Inverse	f(x)=((x^3+7)^(1/5))/7	$f (x) = \frac{{(x^{3} + 7)}^{\frac{1}{5}}}{7}$
235120	Multiply	(5-2)*180	$(5 - 2) \cdot 180$
235121	Write as a Single Logarithm	log base 4 of 8	$\log_{4} (8)$
235122	Evaluate	(4/3)(3/5+7/2-2)	$(\frac{4}{3}) (\frac{3}{5} + \frac{7}{2} - 2)$
235123	Write in Standard Form	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
235124	Solve the Rational Equation for x	2 square root of x+7=5	$2 \sqrt{x} + 7 = 5$
235125	Subtract	(8x+4x^6+4x^5)-(9x^5+7x^6+15x)	$(8 x + 4 x^{6} + 4 x^{5}) - (9 x^{5} + 7 x^{6} + 15 x)$
235126	Solve the System of Inequalities	5/6x-10<=0 3x<=1 1/3	$\frac{5}{6} x - 10 \leq 0$ $3 x \leq 1 \frac{1}{3}$
235127	Solve for a	5a+3+52=90	$5 a + 3 + 52 = 90$
235128	Evaluate	( natural log of 1)/1	$\frac{\ln (1)}{1}$
235129	Simplify	(tan(2x))/(tan(x))	$\frac{\tan (2 x)}{\tan (x)}$
235130	Find the x and y Intercepts	f(x)=3/4 square root of x+2-3	$f (x) = \frac{3}{4} \sqrt{x + 2} - 3$
235131	Solve for x	10-2^(3x+1)=5	$10 - 2^{3 x + 1} = 5$
235132	Graph	2-2^(-x-1)	$2 - 2^{- x - 1}$
235133	Graph	x+7y<=14 x-2y<=10	$x + 7 y \leq 14$ $x - 2 y \leq 10$
235134	Divide	(-5x^2+2x^3+14)÷(x^2-x-2)	$(- 5 x^{2} + 2 x^{3} + 14) \div (x^{2} - x - 2)$
235135	Solve by Factoring	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
235136	Solve for r	r-7>-10	$r - 7 > - 10$
235137	Evaluate	1*( square root of 2)/2	$1 \cdot \frac{\sqrt{2}}{2}$
235138	Evaluate the Function	f(x)=3^x for x=-5	$f (x) = 3^{x}$ for $x = - 5$
235139	Simplify	(y9/8)/(y5/8)	$\frac{y \frac{9}{8}}{y \frac{5}{8}}$
235140	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 $\frac{1}{6}$ ?
235141	Expand the Logarithmic Expression	log base 4 of 64/(a(b-1))	$\log_{4} (\frac{64}{a (b - 1)})$
235142	Solve Using the Quadratic Formula	x^2+bx+12	$x^{2} + b x + 12$
235143	Simplify	sixth root of 100b^6	$\sqrt[6]{100 b^{6}}$
235144	Evaluate	cos(pi/4)+cos(pi/4)	$\cos (\frac{π}{4}) + \cos (\frac{π}{4})$
235145	Simplify	(1/n-3)/(3n-1)	$\frac{(\frac{1}{n} - 3)}{3 n - 1}$
235146	Simplify	((5x^2-19x+12)/(10x-30))÷(16-25x^2)	$\frac{5 x^{2} - 19 x + 12}{10 x - 30} \div (16 - 25 x^{2})$
235147	Find the Inverse	f(r)=4pir^2	$f (r) = 4 π r^{2}$
235148	Write the Fraction in Simplest Form	9x^0y^-3	$9 x^{0} y^{- 3}$
235149	Subtract	Subtract (-a^2-5ab+3b^2) from (3a^2-2ab+3b^2)	Subtract $(- a^{2} - 5 a b + 3 b^{2})$ from $(3 a^{2} - 2 a b + 3 b^{2})$
235150	Solve for x	(3x)/(4x)=(3x+7)/(5x-8)	$\frac{3 x}{4 x} = \frac{3 x + 7}{5 x - 8}$
235151	Simplify	(5 square root of 2)/-5	$\frac{5 \sqrt{2}}{- 5}$
235152	Divide Using Long Polynomial Division	(11x^2+2x^3-20)÷(x^2+x-2)	$(11 x^{2} + 2 x^{3} - 20) \div (x^{2} + x - 2)$
235153	Simplify	(m^-3t^-3)/((m^2t^3)^-1)	$\frac{m^{- 3} t^{- 3}}{{(m^{2} t^{3})}^{- 1}}$
235154	Evaluate	eighth root of 36a^12b^6	$\sqrt[8]{36 a^{12} b^{6}}$
235155	Simplify	(4+ cube root of 2)/( cube root of 9)	$\frac{4 + \sqrt[3]{2}}{\sqrt[3]{9}}$
235156	Find the Inverse	q(t)=q(1-e^(-t/a))	$q (t) = q (1 - e^{- \frac{t}{a}})$
235157	Find the Remainder	(11x^2+2x^3-20)÷(x^2+x-2)	$(11 x^{2} + 2 x^{3} - 20) \div (x^{2} + x - 2)$
235158	Solve for k	k/2+5-2k=6k	$\frac{k}{2} + 5 - 2 k = 6 k$
235159	Simplify	5y^2+5y+5y+5x^2	$5 y^{2} + 5 y + 5 y + 5 x^{2}$
235160	Describe the Transformation	y=-2 cube root of x-1-2	$y = - 2 \sqrt[3]{x - 1} - 2$
235161	Simplify the Radical Expression	(32x^-10y^35)^(4/5)	${(32 x^{- 10} y^{35})}^{\frac{4}{5}}$
235162	Solve for p	square root of p-2 fourth root of p-3=0	$\sqrt{p} - 2 \sqrt[4]{p} - 3 = 0$
235163	Graph	y=pi/2	$y = \frac{π}{2}$
235164	Solve the System of Inequalities	y<1/2x-5 y<=-3x+4	$y < \frac{1}{2} x - 5$ $y \leq - 3 x + 4$
235165	Solve for x	(x+7)/(x+6)-(2x)/(6-x)=(2x)/(x-6)	$\frac{x + 7}{x + 6} - \frac{2 x}{6 - x} = \frac{2 x}{x - 6}$
235166	Simplify the Radical Expression	square root of 3x^18y	$\sqrt{3 x^{18} y}$
235167	Solve for n	3+2 square root of n=n	$3 + 2 \sqrt{n} = n$
235168	Solve the Inequality for a	a/-3.5<=-1.7	$\frac{a}{- 3.5} \leq - 1.7$
235169	Solve the System of Inequalities	y<-2x-6 y<=x+3	$y < - 2 x - 6$ $y \leq x + 3$
235170	Multiply	3/4*6	$\frac{3}{4} \times 6$
235171	Solve for y	2x+\|y\|=0	$2 x + \| y \| = 0$
235172	Simplify	-7x^2y^35x^5y^4	$- 7 x^{2} y^{3} \cdot 5 x^{5} \cdot y^{4}$
235173	Evaluate Using the Given Value	5w-w/x when w=6 and x=2	$5 w - \frac{w}{x}$ when $w = 6$ and $x = 2$
235174	Write in Slope-Intercept Form	x+2y=3x+4	$x + 2 y = 3 x + 4$
235175	Write in Slope-Intercept Form	-4x+y<-7	$- 4 x + y < - 7$
235176	Evaluate	5/6(3)^0	$\frac{5}{6} {(3)}^{0}$
235177	Solve for a	a+1/4=3/4	$a + \frac{1}{4} = \frac{3}{4}$
235178	Solve for y	y = square root of 49-10	$y = \sqrt{49} - 10$
235179	Solve for x	\|5x-3\|-6=-2x+12	$\| 5 x - 3 \| - 6 = - 2 x + 12$
235180	Solve the Inequality for x	-x^2+x+6<0	$- x^{2} + x + 6 < 0$
235181	Solve for x	square root of x-2=x	$\sqrt{x - 2} = x$
235182	Find the Points of Intersection	(x-3)^2+(y+2)^2=36 (y+2)^2=8(x-9)	${(x - 3)}^{2} + {(y + 2)}^{2} = 36$ ${(y + 2)}^{2} = 8 (x - 9)$
235183	Expand Using Pascal's Triangle	(2x^3+1)^5	${(2 x^{3} + 1)}^{5}$
235184	Find the Degree	(-2x^3)*(x^7-x^2y^2)	$(- 2 x^{3}) \cdot (x^{7} - x^{2} y^{2})$
235185	Solve for m	p=( square root of 3mk)/(2t^2)	$p = \frac{\sqrt{3 m k}}{2 t^{2}}$
235186	Simplify the Radical Expression	fourth root of 10^5* fourth root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[4]{10}$
235187	Solve for a	18a^2-30=-33a	$18 a^{2} - 30 = - 33 a$
235188	Graph	slope -2	slope $- 2$
235189	Solve for x	7-10x+5x=6+1-5x	$7 - 10 x + 5 x = 6 + 1 - 5 x$
235190	Find h(g(x))	g(x)=-8x h(x)=2x+3	$g (x) = - 8 x$ $h (x) = 2 x + 3$
235191	Simplify the Radical Expression	(4)( square root of y^3)	$(4) (\sqrt{y^{3}})$
235192	Find All Complex Solutions	square root of x^2-4x+4=4	$\sqrt{x^{2} - 4 x + 4} = 4$
235193	Find the Domain and Range	f(x)=-1/2(10)^x	$f (x) = - \frac{1}{2} {(10)}^{x}$
235194	Simplify	(4x^2y^-2)^2(2x^-3y^2)^-1	${(4 x^{2} y^{- 2})}^{2} {(2 x^{- 3} y^{2})}^{- 1}$
235195	Evaluate	5/8+1/2(3/4)^2	$\frac{5}{8} + \frac{1}{2} {(\frac{3}{4})}^{2}$
235196	Solve for x	9^(4x-1)=(1/27)^x	$9^{4 x - 1} = {(\frac{1}{27})}^{x}$
235197	Graph	x+y<2 and x+y>-2	$x + y < 2$ and $x + y > - 2$
235198	Solve for x	1=sin(x)	$1 = \sin (x)$
235199	Simplify	(7x^-3)/(9x^-4)	$\frac{7 x^{- 3}}{9 x^{- 4}}$
235200	Simplify	-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)	$- 3 p^{3} + 5 p + (- 2 p^{2}) + (- 4) - 12 p + 5 - (- 8 p^{3})$