Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28301	Describe the Transformation	f(x)=x^5 g(x)=4f(x-3)	$f (x) = x^{5}$ $g (x) = 4 f (x - 3)$
28302	Find the Product	-4(3/4e+2)=7+1/2e-8	$- 4 (\frac{3}{4} e + 2) = 7 + \frac{1}{2} e - 8$
28303	Integrate By Parts	integral of x(2x-1)^7 with respect to x	$\int x {(2 x - 1)}^{7} d x$
28304	Find the End Behavior	y=-5x	$y = - 5 x$
28305	Solve the Inequality for m	m/2<4	$\frac{m}{2} < 4$
28306	Evaluate	(-3/7)÷(1/2)	$- \frac{3}{7} \div \frac{1}{2}$
28307	Graph	f-6<5 and f-4>=2	$f - 6 < 5$ and $f - 4 \geq 2$
28308	Solve by Addition/Elimination	y=6x-1 y=6x+1	$y = 6 x - 1$ $y = 6 x + 1$
28309	Simplify	4(1/2+5/4)+-5	$4 (\frac{1}{2} + \frac{5}{4}) + - 5$
28310	Combine Like Terms	7x^3+2x-5x^2+6+x+9+3x^3+12x^2	$7 x^{3} + 2 x - 5 x^{2} + 6 + x + 9 + 3 x^{3} + 12 x^{2}$
28311	Simplify	(x+y+1)(x-y-1)	$(x + y + 1) (x - y - 1)$
28312	Solve for r	r-s-10=P	$r - s - 10 = P$
28313	Solve for x	1-(2x+3)/(x+9)=2/(x^2+6x-27)	$1 - \frac{2 x + 3}{x + 9} = \frac{2}{x^{2} + 6 x - 27}$
28314	Divide	(2ab-a)÷(4b^2-4b+1)	$(2 a b - a) \div (4 b^{2} - 4 b + 1)$
28315	Simplify	(m/4-1/m)/(1/(3m)+1/6)	$\frac{\frac{m}{4} - \frac{1}{m}}{\frac{1}{3 m} + \frac{1}{6}}$
28316	Simplify	cube root of fourth root of x^36	$\sqrt[3]{\sqrt[4]{x^{36}}}$
28317	Simplify the Radical Expression	5 cube root of a*4 square root of a^3	$5 \sqrt[3]{a} \cdot 4 \sqrt{a^{3}}$
28318	Evaluate	1/2*180/pi	$\frac{1}{2} \cdot \frac{180}{π}$
28319	Evaluate	y(0.5+8)	$y (0.5 + 8)$
28320	Find the Domain	L(v)=v natural log of 1-v^2	$L (v) = v \ln (1 - v^{2})$
28321	Solve for x	4(x^2-x)=x^2-2	$4 (x^{2} - x) = x^{2} - 2$
28322	Solve for c in Degrees	-3tan(c)+3=tan(c)-1	$- 3 \tan (c) + 3 = \tan (c) - 1$
28323	Evaluate the Integral	integral from -2 to 1 of (-3x^(8/3)-5x^2+2x-3) with respect to x	$\int_{- 2}^{1} (- 3 x^{\frac{8}{3}} - 5 x^{2} + 2 x - 3) d x$
28324	Evaluate Using the Given Value	x^2+4x+1 when x=-3	$x^{2} + 4 x + 1$ when $x = - 3$
28325	Write in Standard Form	3x^3-x+5x^4	$3 x^{3} - x + 5 x^{4}$
28326	Evaluate the Integral	integral of (sec(theta))/(cos(theta)) with respect to theta	$\int \frac{\sec (θ)}{\cos (θ)} d θ$
28327	Graph	-1/4(d+1)<2	$- \frac{1}{4} (d + 1) < 2$
28328	Solve the Inequality for y	6y+10>8-(y+14)	$6 y + 10 > 8 - (y + 14)$
28329	Solve for x	-sin(x)=cos(x)	$- \sin (x) = \cos (x)$
28330	Add	(-9v^2-8u)+(-2uv-2u^2+v^2)+(-v^2+4uv)	$(- 9 v^{2} - 8 u) + (- 2 u v - 2 u^{2} + v^{2}) + (- v^{2} + 4 u v)$
28331	Solve for x	(10x+3)/12=1+(6+8x)/9	$\frac{10 x + 3}{12} = 1 + \frac{6 + 8 x}{9}$
28332	Simplify	(6x)/(x^2+4x+4)+3/(x+2)	$\frac{6 x}{x^{2} + 4 x + 4} + \frac{3}{x + 2}$
28333	Solve the Inequality for n	30>1/2n	$30 > \frac{1}{2} n$
28334	Find the Antiderivative	f(r)=3/(1+r^2)- fifth root of r^4	$f (r) = \frac{3}{1 + r^{2}} - \sqrt[5]{r^{4}}$
28335	Simplify	Simplify square root of -4	Simplify $\sqrt{- 4}$
28336	Solve the Inequality for x	log base 2 of x>3	$\log_{2} (x) > 3$
28337	Find the Exact Value	1-( square root of 3)/2	$1 - \frac{\sqrt{3}}{2}$
28338	Add	(2x^8-6x^4+5x^2+4)+(2x^7+4x^4-3x)	$(2 x^{8} - 6 x^{4} + 5 x^{2} + 4) + (2 x^{7} + 4 x^{4} - 3 x)$
28339	Simplify the Radical Expression	9(27)^(1/3)	$9 {(27)}^{\frac{1}{3}}$
28340	Find the Antiderivative	1/((x+1)(x+2))	$\frac{1}{(x + 1) (x + 2)}$
28341	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,7) and has a slope of -1/5 ?	What is the equation of the line that passes through the point $(- 5, 7)$ and has a slope of $- \frac{1}{5}$ ?
28342	Find the Derivative - d/dx	natural log of 2x+y	$\ln (2 x + y)$
28343	Simplify	square root of 3( square root of 12- square root of 3)	$\sqrt{3} (\sqrt{12} - \sqrt{3})$
28344	Find the Exact Value	10/3+2/7-1/2	$\frac{10}{3} + \frac{2}{7} - \frac{1}{2}$
28345	Find Amplitude, Period, and Phase Shift	y=sin(2(theta+pi))	$y = \sin (2 (θ + π))$
28346	Simplify the Radical Expression	( cube root of 9)/( cube root of 4)	$\frac{\sqrt[3]{9}}{\sqrt[3]{4}}$
28347	Simplify	(1/x-f(a))/(x-a)	$\frac{\frac{1}{x} - f (a)}{x - a}$
28348	Find the Inverse	f(x)=\|2x-1\|	$f (x) = \| 2 x - 1 \|$
28349	Find the Domain of the Quotient of the Two Functions	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
28350	Simplify	fourth root of 256*81	$\sqrt[4]{256 \cdot 81}$
28351	Simplify	3/(12y)+9/24	$\frac{3}{12 y} + \frac{9}{24}$
28352	Add	(8x+5)/6+(-7x+7)/6	$\frac{8 x + 5}{6} + \frac{- 7 x + 7}{6}$
28353	Solve for x	(0.500)^(x/4.50)=0.100	${(0.5)}^{\frac{x}{4.5}} = 0.1$
28354	Evaluate	(x+3)/(x-3)<0	$\frac{x + 3}{x - 3} < 0$
28355	Evaluate	(1/2)^x	${(\frac{1}{2})}^{x}$
28356	Evaluate the Integral	integral of (2x^2+5x)/x with respect to x	$\int \frac{2 x^{2} + 5 x}{x} d x$
28357	Simplify	(6m^2n^-1)^3	${(6 m^{2} n^{- 1})}^{3}$
28358	Evaluate	(5^3-(6+4)^2)/(5^1)	$\frac{5^{3} - {(6 + 4)}^{2}}{5^{1}}$
28359	Solve for a	a+1/3=4 3/4	$a + \frac{1}{3} = 4 \frac{3}{4}$
28360	Add	(x-2)+(x^2+3)	$(x - 2) + (x^{2} + 3)$
28361	Find the Derivative - d/dx	natural log of sec(2x)+6tan(x)	$\ln (\sec (2 x) + 6 \tan (x))$
28362	Solve for x	log of x-5- log of 1-x=1/3	$\log (x - 5) - \log (1 - x) = \frac{1}{3}$
28363	Solve for y	(-3,-4) and (-5,y) , m=-9/2	$(- 3, - 4)$ and $(- 5, y)$ , $m = - \frac{9}{2}$
28364	Simplify	(8x^7y^2)(2x^-1y^-6)^3	$(8 x^{7} y^{2}) {(2 x^{- 1} y^{- 6})}^{3}$
28365	Find the Derivative - d/dx	x^(n+1)	$x^{n + 1}$
28366	Solve for t	t = square root of h/16	$t = \sqrt{\frac{h}{16}}$
28367	Evaluate the Function	f(1)=(1/2)^1	$f (1) = {(\frac{1}{2})}^{1}$
28368	Simplify	(x^6y^4)^(1/8)+2(x^(1/3)y^(1/4))^2	${(x^{6} y^{4})}^{\frac{1}{8}} + 2 {(x^{\frac{1}{3}} y^{\frac{1}{4}})}^{2}$
28369	Simplify	(x^3y^2z)^3(3xy^2z^3)^2(-3x)^2	${(x^{3} y^{2} z)}^{3} {(3 x y^{2} z^{3})}^{2} {(- 3 x)}^{2}$
28370	Find the Third Derivative	(3-5x)^5	${(3 - 5 x)}^{5}$
28371	Add	(6d+2)-(3d-3)	$(6 d + 2) - (3 d - 3)$
28372	Divide	(6 square root of 3)/2	$\frac{6 \sqrt{3}}{2}$
28373	Solve for x	3x-4+3x-17+69=180	$3 x - 4 + 3 x - 17 + 69 = 180$
28374	Solve for u	1-(2u-3)/4=(2-5u)/3-3u	$1 - \frac{2 u - 3}{4} = \frac{2 - 5 u}{3} - 3 u$
28375	Graph	y=-7x^3+8x^2+x	$y = - 7 x^{3} + 8 x^{2} + x$
28376	Add	(x^2)/(x+2)+(4x)/(x+2)+4/(x+2)	$\frac{x^{2}}{x + 2} + \frac{4 x}{x + 2} + \frac{4}{x + 2}$
28377	Solve for y	-4(8+y)=90	$- 4 (8 + y) = 90$
28378	Simplify	6 square root of 4x^2*2 square root of 9x^2y^2	$6 \sqrt{4 x^{2}} \cdot 2 \sqrt{9 x^{2} y^{2}}$
28379	Solve for x	natural log of x- natural log of 4x-1 = natural log of 5	$\ln (x) - \ln (4 x - 1) = \ln (5)$
28380	Solve the System of Inequalities	y<2x+5 4y>-4x-8	$y < 2 x + 5$ $4 y > - 4 x - 8$
28381	Graph	x+y>=2 and y<=2	$x + y \geq 2$ and $y \leq 2$
28382	Find the GCF	25x^2+40x+16 and 25x^2-16	$25 x^{2} + 40 x + 16$ and $25 x^{2} - 16$
28383	Find the Discriminant	-7n^2+16n=8n	$- 7 n^{2} + 16 n = 8 n$
28384	Solve for C	C=(5F-160)/9	$C = \frac{5 F - 160}{9}$
28385	Find the End Behavior	P(x)=-2x^7-5x^4+2x^2-3	$P (x) = - 2 x^{7} - 5 x^{4} + 2 x^{2} - 3$
28386	Simplify	(8 square root of 24)÷16 square root of 6	$8 \sqrt{24} \div 16 \sqrt{6}$
28387	Solve for x	(7x)/12-4=3+(3x)/4	$\frac{7 x}{12} - 4 = 3 + \frac{3 x}{4}$
28388	Solve the Rational Equation for h	square root of 3h=3	$\sqrt{3 h} = 3$
28389	Solve the Inequality for b	square root of b-7+6<=12	$\sqrt{b - 7} + 6 \leq 12$
28390	Solve the Inequality for x	(x-3)/(x+4)>3	$\frac{x - 3}{x + 4} > 3$
28391	Find the Function	f(x)=(3x+2)^4	$f (x) = {(3 x + 2)}^{4}$
28392	Solve the Function Operation	g(x)=-x+2 ; find g(5)	$g (x) = - x + 2$ ; find $g (5)$
28393	Solve for c	a=-bc+d	$a = - b c + d$
28394	Rationalize the Denominator	-5/(4+ square root of 6)	$\frac{- 5}{4 + \sqrt{6}}$
28395	Find the Slope	Find the slope of the line passing through the points (-4,6) and (3,-8)	Find the slope of the line passing through the points $(- 4, 6)$ and $(3, - 8)$
28396	Find the Product	(2x^2+5x)(3x-2)	$(2 x^{2} + 5 x) (3 x - 2)$
28397	Simplify	9 square root of 4+12 cube root of 8-6 fifth root of 32	$9 \sqrt{4} + 12 \sqrt[3]{8} - 6 \sqrt[5]{32}$
28398	Find the x and y Intercepts	(4x)/(x^3+2x^2-3x)	$\frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
28399	Evaluate	4(x+6)-x=6(x-111)-2x+305	$4 (x + 6) - x = 6 (x - 111) - 2 x + 305$
28400	Simplify	2(x^(1/3))^(6/5)*y^(2/3)	$2 {(x^{\frac{1}{3}})}^{\frac{6}{5}} \cdot y^{\frac{2}{3}}$