Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39101	Simplify	((3x^2-9x)/(x-2))÷((x^2-9)/(4x-8))	$\frac{3 x^{2} - 9 x}{x - 2} \div \frac{x^{2} - 9}{4 x - 8}$
39102	Find the Exact Value	(36^(1/2))^2	${(36^{\frac{1}{2}})}^{2}$
39103	Find the Inverse	f(x)=- square root of x+2 ; for x>=-2	$f (x) = - \sqrt{x + 2}$ ; for $x \geq - 2$
39104	Find the Sine of the Angle	60	$60$
39105	Divide Using Synthetic Division	(x^7+x^5-10x^3+12)/(x+2)	$\frac{x^{7} + x^{5} - 10 x^{3} + 12}{x + 2}$
39106	Find the Domain	f(x)=(12x^4+10x-3)/(3x^4)	$f (x) = \frac{12 x^{4} + 10 x - 3}{3 x^{4}}$
39107	Evaluate	f(x)( cube root of 64x^6)/(x^5)	$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
39108	Find the Maximum/Minimum Value	f(x)=x^5+x^4	$f (x) = x^{5} + x^{4}$
39109	Simplify	(5^-2x^-9)/(4^-2y^5z^-2)	$\frac{5^{- 2} x^{- 9}}{4^{- 2} y^{5} z^{- 2}}$
39110	Find the x and y Intercepts	What is the y-intercept of the equation 10x+3y=12 ?	What is the y-intercept of the equation $10 x + 3 y = 12$ ?
39111	Find the Product	(x-y+1)(x-y-1)	$(x - y + 1) (x - y - 1)$
39112	Simplify	(7-6n^2-5n^3+8n)+(3n-3n^3-7+2n^4)	$(7 - 6 n^{2} - 5 n^{3} + 8 n) + (3 n - 3 n^{3} - 7 + 2 n^{4})$
39113	Graph	(y+6)=-3/2(x-8)	$(y + 6) = - \frac{3}{2} (x - 8)$
39114	Find the Inverse	y=1/(2x)	$y = \frac{1}{2 x}$
39115	Find the Domain	(x^2+x-10)/(x^2-5x)	$\frac{x^{2} + x - 10}{x^{2} - 5 x}$
39116	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+26x+5 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 26 x + 5$ is divided by $4 x + 1$
39117	Solve for s	s^2-4s-6=6	$s^{2} - 4 s - 6 = 6$
39118	Find the Asymptotes	(3(x-10))/(2x+1)	$\frac{3 (x - 10)}{2 x + 1}$
39119	Add	(8a-18)/(3a^2+14a+8)+7/(3a+2)	$\frac{8 a - 18}{3 a^{2} + 14 a + 8} + \frac{7}{3 a + 2}$
39120	Solve the Inequality for x	-2x-3/2(-4x+5)<=-3/2	$- 2 x - \frac{3}{2} (- 4 x + 5) \leq - \frac{3}{2}$
39121	Evaluate	5y(8y-3)	$5 y (8 y - 3)$
39122	Simplify	7y-2yi^2	$7 y - 2 y i^{2}$
39123	Find the Product	(2x^4+5y^2)(2x^4-5y^2)	$(2 x^{4} + 5 y^{2}) (2 x^{4} - 5 y^{2})$
39124	Solve the Function Operation	If P(x)=x^2+x+2 ; find P(8)	If $P (x) = x^{2} + x + 2$ ; find $P (8)$
39125	Find dx/dy	e^(xy)=e^(4x)-e^(5y)	$e^{x y} = e^{4 x} - e^{5 y}$
39126	Evaluate	3^2*pi	$3^{2} \cdot π$
39127	Evaluate	5 cube root of -64+45	$5 \sqrt[3]{- 64} + 45$
39128	Simplify	9^24*7^-36	$9^{24} \cdot 7^{- 36}$
39129	Solve the Inequality for x	-2(-4/5x+3)-x<=3x	$- 2 (- \frac{4}{5} x + 3) - x \leq 3 x$
39130	Graph	x-y>7 8x+3y>=12	$x - y > 7$ $8 x + 3 y \geq 12$
39131	Simplify	((2x^2)/(5x^3))^-2	${(\frac{2 x^{2}}{5 x^{3}})}^{- 2}$
39132	Solve for x	y=x^7	$y = x^{7}$
39133	Solve for c	8x+4-(6x^2+x-3)=ax^2+bx+c	$8 x + 4 - (6 x^{2} + x - 3) = a x^{2} + b x + c$
39134	Find All Complex Solutions	11p^2-17p-20=p^2	$11 p^{2} - 17 p - 20 = p^{2}$
39135	Find the Exact Value	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
39136	Solve the Rational Equation for x	(x-2)^(1/3)=5	${(x - 2)}^{\frac{1}{3}} = 5$
39137	Write in Standard Form	i^-15	$i^{- 15}$
39138	Find the Derivative - d/dx	y=cos(x^3-2x)	$y = \cos (x^{3} - 2 x)$
39139	Evaluate	log base sixth root of 13 of 13	$\log_{\sqrt[6]{13}} (13)$
39140	Find Amplitude, Period, and Phase Shift	y=4cos((6pix)/7-1/2)	$y = 4 \cos (\frac{6 π x}{7} - \frac{1}{2})$
39141	Find the Roots (Zeros)	x^4=1	$x^{4} = 1$
39142	Simplify	(6b^3)/( square root of 4b^9)	$\frac{6 b^{3}}{\sqrt{4 b^{9}}}$
39143	Solve for z	x=2/9(y-z)	$x = \frac{2}{9} (y - z)$
39144	Evaluate	2 square root of 3x+1=4x	$2 \sqrt{3 x + 1} = 4 x$
39145	Multiply	(x^2-64)/(7x)*(3x^3)/(x^2+x-72)	$\frac{x^{2} - 64}{7 x} \cdot \frac{3 x^{3}}{x^{2} + x - 72}$
39146	Evaluate the Integral	integral of ((8+r)/r)^2 with respect to r	$\int {(\frac{8 + r}{r})}^{2} d r$
39147	Find the LCM	7 and 28	$7$ and $28$
39148	Write the Fraction in Simplest Form	2(1/5m-2/5)+3/5	$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$
39149	Factor	x^3+3x+2x+6	$x^{3} + 3 x + 2 x + 6$
39150	Evaluate	(tan(pi/2-x)csc(x))/(csc(x)^2)	$\frac{\tan (\frac{π}{2} - x) \csc (x)}{\csc^{2} (x)}$
39151	Factor by Grouping	27x^4+54x^3-64x-128	$27 x^{4} + 54 x^{3} - 64 x - 128$
39152	Find the Tangent Line at (-2,16)	f(x)=-2x^3 at (-2,16)	$f (x) = - 2 x^{3}$ at $(- 2, 16)$
39153	Solve by Substitution	3x+2y=7 and y=-3x+11	$3 x + 2 y = 7$ and $y = - 3 x + 11$
39154	Find the Slope and y-intercept	y+1/2x=0	$y + \frac{1}{2} x = 0$
39155	Solve for x	4 cube root of x+2=0	$4 \sqrt[3]{x} + 2 = 0$
39156	Simplify	6x*7x^-6	$6 x \cdot 7 x^{- 6}$
39157	Divide Using Long Polynomial Division	4x^3+18x^2+22x+5 divided by 2x+5	$4 x^{3} + 18 x^{2} + 22 x + 5$ divided by $2 x + 5$
39158	Solve the System of Equations	y=x y=-x	$y = x$ $y = - x$
39159	Find the Maximum/Minimum Value	y=10cos((2pi)/3(x+1/4))	$y = 10 \cos (\frac{2 π}{3} (x + \frac{1}{4}))$
39160	Find the x and y Intercepts	cube root of x-1	$\sqrt[3]{x - 1}$
39161	Find the Roots (Zeros)	x^4+2x^3+7x^2-8x+12	$x^{4} + 2 x^{3} + 7 x^{2} - 8 x + 12$
39162	Solve for a	square root of x square root of x=x^a	$\sqrt{x \sqrt{x}} = x^{a}$
39163	Graph	3x-3y=6 -x+y=-2	$3 x - 3 y = 6$ $- x + y = - 2$
39164	Find the Inverse	f(x)=4 fifth root of (x^7)/7	$f (x) = 4 \sqrt[5]{\frac{x^{7}}{7}}$
39165	Simplify the Radical Expression	(16 1/4)^3	${(16 \frac{1}{4})}^{3}$
39166	Solve the System of Inequalities	3x+11<3 or 4x-1>=9	$3 x + 11 < 3$ or $4 x - 1 \geq 9$
39167	Integrate Using u-Substitution	integral from 0 to 1 of x^2(1+2x^3)^5 with respect to x	$\int_{0}^{1} x^{2} {(1 + 2 x^{3})}^{5} d x$
39168	Graph	1/2>-2x+7/2	$\frac{1}{2} > - 2 x + \frac{7}{2}$
39169	Graph	4.5>-m/6	$4.5 > - \frac{m}{6}$
39170	Graph	y<=2x 2 y>=-5x+4	$y \leq 2 x$ $2$ $y \geq - 5 x + 4$
39171	Evaluate	-3!	$- 3!$
39172	Solve for x	2x^2(x^2-1)=0	$2 x^{2} (x^{2} - 1) = 0$
39173	Find the Antiderivative	f(x)=(2x^4+3)/(x^2)	$f (x) = \frac{2 x^{4} + 3}{x^{2}}$
39174	Evaluate	cos(pi/4)-cos(pi/4)	$\cos (\frac{π}{4}) - \cos (\frac{π}{4})$
39175	Solve for u	cos(2u)=cos(u)^2-sin(u)^2	$\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
39176	Simplify	4/(3x+6)+(x+1)/(x^2-4)	$\frac{4}{3 x + 6} + \frac{x + 1}{x^{2} - 4}$
39177	Graph Using a Table of Values	f(x)=(x-2)/(x^2+3x+2)	$f (x) = \frac{x - 2}{x^{2} + 3 x + 2}$
39178	Solve for x	3x+5x=-2-38	$3 x + 5 x = - 2 - 38$
39179	Solve the Inequality for x	x+1<(5x-3)/(x-3)	$x + 1 < \frac{5 x - 3}{x - 3}$
39180	Simplify	(x^2+7x+12)/(3x-4)	$\frac{x^{2} + 7 x + 12}{3 x - 4}$
39181	Divide	(8x^4+6x^2-2x+4)÷(2x-1)	$(8 x^{4} + 6 x^{2} - 2 x + 4) \div (2 x - 1)$
39182	Solve the Inequality for a	a/7-1<=-5	$\frac{a}{7} - 1 \leq - 5$
39183	Find dy/dx	y=(2+5x^3)/(1+2x)	$y = \frac{2 + 5 x^{3}}{1 + 2 x}$
39184	Simplify the Radical Expression	fourth root of 5/(2y^2)	$\sqrt[4]{\frac{5}{2 y^{2}}}$
39185	Solve the System of Inequalities	y<x+3 y<=-3x-5	$y < x + 3$ $y \leq - 3 x - 5$
39186	Simplify	5/(3 square root of 5+ square root of 2)	$\frac{5}{3 \sqrt{5} + \sqrt{2}}$
39187	Solve for r	2*18^(10r-3)-1=73	$2 \cdot 18^{10 r - 3} - 1 = 73$
39188	Solve for x	2+ square root of 3x=7	$2 + \sqrt{3 x} = 7$
39189	Determine if Continuous	f(x)=sec((pix)/4)	$f (x) = \sec (\frac{π x}{4})$
39190	Evaluate	arctan(2/2)	$\arctan (\frac{2}{2})$
39191	Simplify	-1/(2- square root of 15)	$\frac{- 1}{2 - \sqrt{15}}$
39192	Find the Second Derivative	f(x)=-1/2x^5-1/3x^-3-6x^2-1/5x	$f (x) = - \frac{1}{2} x^{5} - \frac{1}{3} x^{- 3} - 6 x^{2} - \frac{1}{5} x$
39193	Simplify	(f^7f^4)/(f^0f^5)	$\frac{f^{7} \cdot f^{4}}{f^{0} \cdot f^{5}}$
39194	Expand the Trigonometric Expression	cot(-x)cos(-x)+sin(-x)	$\cot (- x) \cos (- x) + \sin (- x)$
39195	Graph	2x-y<=5 x+2y>2	$2 x - y \leq 5$ $x + 2 y > 2$
39196	Find the Derivative - d/dx	csc(x)+cot(x)	$\csc (x) + \cot (x)$
39197	Calculate the Square Root	3 square root of 16-5	$3 \sqrt{16 - 5}$
39198	Write in Standard Form	4x(2x-3)-5(3x-4)	$4 x (2 x - 3) - 5 (3 x - 4)$
39199	Evaluate the Integral	integral of (-3csc(x)^2+4csc(2x)cot(2x)) with respect to x	$\int (- 3 \csc^{2} (x) + 4 \csc (2 x) \cot (2 x)) d x$
39200	Write in Standard Form	(5y^2-2y+1)-(y^2+y+3)	$(5 y^{2} - 2 y + 1) - (y^{2} + y + 3)$