Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25301	Find the x and y Intercepts	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
25302	Evaluate	3*(10+1)+5	$3 \times (10 + 1) + 5$
25303	Find the Tangent Line at (1/2,16)	f(t)=t^-4 ;, (1/2,16)	$f (t) = t^{- 4}$ ;, $(\frac{1}{2}, 16)$
25304	Find the x and y Intercepts	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
25305	Solve for x	25^x*5^(x+3)=625^(x-7)	$25^{x} \cdot 5^{x + 3} = 625^{x - 7}$
25306	Expand the Logarithmic Expression	log base 4 of ( cube root of xy)/64	$\log_{4} (\frac{\sqrt[3]{x y}}{64})$
25307	Find Amplitude, Period, and Phase Shift	y=csc(2x-pi)	$y = \csc (2 x - π)$
25308	Simplify the Radical Expression	square root of 3(5+ square root of 3)	$\sqrt{3} (5 + \sqrt{3})$
25309	Solve for x	1/5 log base 2 of x^2=4	$\frac{1}{5} \log_{2} (x^{2}) = 4$
25310	Simplify	(5x^my^n)(6x^7y^4)	$(5 x^{m} y^{n}) (6 x^{7} y^{4})$
25311	Solve by Graphing	x=-2 3x-2y=-18	$x = - 2$ $3 x - 2 y = - 18$
25312	Rationalize the Denominator	cube root of 3/(4k)	$\sqrt[3]{\frac{3}{4 k}}$
25313	Solve for x	log base (x+3) of 8=1/2	$\log_{(x + 3)} (8) = \frac{1}{2}$
25314	Find the Parallel Line	What is the equation of the line that is parallel to the line defined by the equation 8x=2y+4 and goes through the point (3,2) ?	What is the equation of the line that is parallel to the line defined by the equation $8 x = 2 y + 4$ and goes through the point $(3, 2)$ ?
25315	Graph	2 log base 5 of -x-1-8	$2 \log_{5} (- x - 1) - 8$
25316	Simplify	(x^5y^(-9/2)z^3)/(xy^-4z^3)	$\frac{x^{5} y^{- \frac{9}{2}} z^{3}}{x y^{- 4} z^{3}}$
25317	Solve the System of Inequalities	y>=x+10 y<=x-3	$y \geq x + 10$ $y \leq x - 3$
25318	Find the Derivative - d/dx	Derivar y=(5/(x^4)+3/(x^3))(2x^5-4x^2)	Derivar $y = (\frac{5}{x^{4}} + \frac{3}{x^{3}}) (2 x^{5} - 4 x^{2})$
25319	Evaluate	((2x^0)/(4x^-2y^4))^2	${(\frac{2 x^{0}}{4 x^{- 2} y^{4}})}^{2}$
25320	Solve the System of Equations	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
25321	Find the Roots (Zeros)	y=-cos(2x)	$y = - \cos (2 x)$
25322	Find Amplitude, Period, and Phase Shift	y=4sin(2/3x+pi/9)	$y = 4 \sin (\frac{2}{3} x + \frac{π}{9})$
25323	Find the Other Trig Values in Quadrant III	cos(theta)=-( square root of 8)/3	$\cos (θ) = - \frac{\sqrt{8}}{3}$
25324	Simplify	Simplify (cot(theta))/(csc(theta))	Simplify $\frac{\cot (θ)}{\csc (θ)}$
25325	Add	(-9x^2y^2+5x^2y-11xy+1)+(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) + (4 x y - 13 x^{2} y + 7)$
25326	Simplify the Radical Expression	(x^(2/3))^6	${(x^{\frac{2}{3}})}^{6}$
25327	Solve for t	\|2t-1\|-5>2	$\| 2 t - 1 \| - 5 > 2$
25328	Simplify	(5x)/( cube root of 3x^2)	$\frac{5 x}{\sqrt[3]{3 x^{2}}}$
25329	Solve for x	2/3(x-6)=-1/3x-14	$\frac{2}{3} (x - 6) = - \frac{1}{3} x - 14$
25330	Solve for x	98=-4+3(-5x-1)	$98 = - 4 + 3 (- 5 x - 1)$
25331	Evaluate	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
25332	Solve for x	12x-5-6x=-5+6x	$12 x - 5 - 6 x = - 5 + 6 x$
25333	Simplify	(-m)^-3n	${(- m)}^{- 3} n$
25334	Evaluate the Function	f(-1)=2(-1)-1	$f (- 1) = 2 (- 1) - 1$
25335	Find the Exact Value	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
25336	Simplify	1-2sin(x)+(1-cos(x)^2)	$1 - 2 \sin (x) + (1 - \cos^{2} (x))$
25337	Solve for v	ve=1/2mv^2	$v e = \frac{1}{2} m v^{2}$
25338	Simplify	(3d^-10)÷6d^-7	$3 d^{- 10} \div 6 d^{- 7}$
25339	Solve for x	x+6=2(x+3)-x	$x + 6 = 2 (x + 3) - x$
25340	Simplify	x^(-1/6)*x^(-6/7)	$x^{- \frac{1}{6}} \cdot x^{- \frac{6}{7}}$
25341	Simplify	(x^2y-xy^2+y^3)/((x^2)/y+(y^2)/x)	$\frac{x^{2} y - x y^{2} + y^{3}}{\frac{x^{2}}{y} + \frac{y^{2}}{x}}$
25342	Solve for a	h=-15t+1/2at^2+9	$h = - 15 t + \frac{1}{2} a t^{2} + 9$
25343	Find the Asymptotes	y=csc(2x)	$y = \csc (2 x)$
25344	Solve the Rational Equation for x	3 square root of x=2	$3 \sqrt{x} = 2$
25345	Expand the Trigonometric Expression	csc(90-theta)	$\csc (90 - θ)$
25346	Find the Derivative of the Integral	integral from 0 to natural log of 4x of sin(2e^t) with respect to t	$\int_{0}^{\ln (4 x)} \sin (2 e^{t}) d t$
25347	Solve the Function Operation	Given that f(x)=x^2-13x+36 and g(x)=x-9 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 36$ and $g (x) = x - 9$ ; find $(f - g) (x)$ and express the result in standard form.
25348	Solve the Function Operation	Given that f(x)=x^2-4x-12 and g(x)=x-6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 4 x - 12$ and $g (x) = x - 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
25349	Write in Standard Form	(-2x^2+5x-7)+(3x+7)	$(- 2 x^{2} + 5 x - 7) + (3 x + 7)$
25350	Simplify	(2^2-4)/(2-2)	$\frac{2^{2} - 4}{2 - 2}$
25351	Solve for x	square root of x+3 = square root of 4x-8	$\sqrt{x + 3} = \sqrt{4 x - 8}$
25352	Solve for k	5/4(2-k)=2(3k-1)-2/3k	$\frac{5}{4} (2 - k) = 2 (3 k - 1) - \frac{2}{3} k$
25353	Find the Domain	f(x) = square root of x^2	$f (x) = \sqrt{x^{2}}$
25354	Find dy/dx	-y-xy-5x^3=0	$- y - x y - 5 x^{3} = 0$
25355	Evaluate the Integral	integral of (5/x+e^x) with respect to x	$\int (\frac{5}{x} + e^{x}) d x$
25356	Evaluate the Integral	integral from 0 to pi/4 of xsin(2x) with respect to x	$\int_{0}^{\frac{π}{4}} x \sin (2 x) d x$
25357	Find the Antiderivative	f(x)=3/4x^2	$f (x) = \frac{3}{4} x^{2}$
25358	Solve for q	(8q-2)/12-6=(10q+6)/6	$\frac{8 q - 2}{12} - 6 = \frac{10 q + 6}{6}$
25359	Find the Derivative - d/dx	d/(dx)( integral from 0 to x^3 of natural log of t^2+1 with respect to t)	$\frac{d}{d x} (\int_{0}^{x^{3}} \ln (t^{2} + 1) d t)$
25360	Find dy/dt	y=3t^7-6t^4+8t^3-12^t+18	$y = 3 t^{7} - 6 t^{4} + 8 t^{3} - 12^{t} + 18$
25361	Simplify	1/(1- square root of 5)+1/(1+ square root of 5)	$\frac{1}{1 - \sqrt{5}} + \frac{1}{1 + \sqrt{5}}$
25362	Find the Antiderivative	1/(3 cube root of x)	$\frac{1}{3 \sqrt[3]{x}}$
25363	Solve the Rational Equation for x	square root of x+7=x+1	$\sqrt{x} + 7 = x + 1$
25364	Solve the Inequality for x	5x^2-10<=2x-7	$5 x^{2} - 10 \leq 2 x - 7$
25365	Solve the Inequality for x	\|3/4x-3\|-8>=-5	$\| \frac{3}{4} x - 3 \| - 8 \geq - 5$
25366	Evaluate	(2)((2)(5-2)+1)	$(2) ((2) (5 - 2) + 1)$
25367	Simplify the Radical Expression	(-3 square root of 3)( square root of -30)	$(- 3 \sqrt{3}) (\sqrt{- 30})$
25368	Solve the System of Equations	Solve x+3y=9 3x-3y=-13	Solve $x + 3 y = 9$ $3 x - 3 y = - 13$
25369	Simplify	cot(B)+(sin(B))/(1+cos(B))	$\cot (B) + \frac{\sin (B)}{1 + \cos (B)}$
25370	Find the Domain	1/(a^2+ab)+1/(ab+b^2)	$\frac{1}{a^{2} + a b} + \frac{1}{a b + b^{2}}$
25371	Find All Complex Solutions	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
25372	Find the Derivative - d/dx	(x^2)/(2y)+(3y^2)/x	$\frac{x^{2}}{2 y} + \frac{3 y^{2}}{x}$
25373	Find the Derivative - d/dx	y=2x^(1/3)	$y = 2 x^{\frac{1}{3}}$
25374	Multiply	square root of 4x^2* square root of 20x^2	$\sqrt{4 x^{2}} \cdot \sqrt{20 x^{2}}$
25375	Divide Using Synthetic Division	(4x^4-4x^3-22x^2+x-25)/(x-3)	$\frac{4 x^{4} - 4 x^{3} - 22 x^{2} + x - 25}{x - 3}$
25376	Write as a Single Logarithm	log of a+2 log of b-1/2 log of 9c^2	$\log (a) + 2 \log (b) - \frac{1}{2} \log (9 c^{2})$
25377	Integrate By Parts	integral of 1/x with respect to x	$\int \frac{1}{x} d x$
25378	Solve the System of Equations	x^2-y^2=16 x^2+y^2=20	$x^{2} - y^{2} = 16$ $x^{2} + y^{2} = 20$
25379	Determine if Dependent, Independent, or Inconsistent	y=-1/2x+2 x+2y=4	$y = - \frac{1}{2} x + 2$ $x + 2 y = 4$
25380	Convert to Interval Notation	4x<=12 or 9-x<0	$4 x \leq 12$ or $9 - x < 0$
25381	Solve for x	5-(x-6)=4(3-2x)	$5 - (x - 6) = 4 (3 - 2 x)$
25382	Simplify	(3a)^2(7b)^4	${(3 a)}^{2} {(7 b)}^{4}$
25383	Calculate the Square Root	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$
25384	Find the Derivative - d/dx	(x^2+y^2+z^2)^(-1/2)	${(x^{2} + y^{2} + z^{2})}^{- \frac{1}{2}}$
25385	Solve for y	-170=6y^3-8	$- 170 = 6 y^{3} - 8$
25386	Simplify	(sec(x)^2-1)^2	${(\sec^{2} (x) - 1)}^{2}$
25387	Simplify	(9r^2s-3r+11s^2)-(2r^2s+2r-5s^2)	$(9 r^{2} s - 3 r + 11 s^{2}) - (2 r^{2} s + 2 r - 5 s^{2})$
25388	Simplify	(4r^8s^(-1/2))^(1/2)(32s^(-5/4))^(-1/5)	${(4 r^{8} s^{- \frac{1}{2}})}^{\frac{1}{2}} {(32 s^{- \frac{5}{4}})}^{- \frac{1}{5}}$
25389	Evaluate	(22/7-2/3)	$(\frac{22}{7} - \frac{2}{3})$
25390	Solve the Rational Equation for x	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
25391	Find the Antiderivative	f(x)=2x+e^(2x)	$f (x) = 2 x + e^{2 x}$
25392	Solve for x	x-4=1/4(8x-16)	$x - 4 = \frac{1}{4} (8 x - 16)$
25393	Evaluate the Integral	integral of square root of x^3 natural log of x with respect to x	$\int \sqrt{x^{3}} \ln (x) d x$
25394	Convert to Rectangular Coordinates	(3 square root of 3,(3pi)/2)	$(3 \sqrt{3}, \frac{3 π}{2})$
25395	Factor by Grouping	4k^5-100k^3	$4 k^{5} - 100 k^{3}$
25396	Solve the Inequality for x	\|2x-4\|+2<6	$\| 2 x - 4 \| + 2 < 6$
25397	Simplify	((2^0)/2)^2	${(\frac{2^{0}}{2})}^{2}$
25398	Find the Other Trig Values in Quadrant III	csc(theta)=- square root of 2	$\csc (θ) = - \sqrt{2}$
25399	Solve the Inequality for x	3x^2+40x<-8x-189	$3 x^{2} + 40 x < - 8 x - 189$
25400	Simplify	(4a^-3b^-4)/(4a^3)	$\frac{4 a^{- 3} b^{- 4}}{4 a^{3}}$