Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
48201	Evaluate	(a^2+1)/(a^2-1)-2/(a+1)=a/(a-1)	$\frac{a^{2} + 1}{a^{2} - 1} - \frac{2}{a + 1} = \frac{a}{a - 1}$
48202	Find the GCF	15 and 50	$15$ and $50$
48203	Simplify	((x^-2)^3y^4)/(x^-2y)	$\frac{{(x^{- 2})}^{3} y^{4}}{x^{- 2} y}$
48204	Subtract	(8k+k^2-6)-(-10k+7-2k^2)	$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$
48205	Evaluate	Evaluate (1/(27^(4/3)))	Evaluate $(\frac{1}{27^{\frac{4}{3}}})$
48206	Factor	a^3+a^2b+ab+b^2	$a^{3} + a^{2} b + a b + b^{2}$
48207	Simplify	((a^-3b^3c^-5)^5)/((a^5b^-2c^-1)^-2)	$\frac{{(a^{- 3} b^{3} c^{- 5})}^{5}}{{(a^{5} b^{- 2} c^{- 1})}^{- 2}}$
48208	Evaluate	3-1/2*0	$3 - \frac{1}{2} \cdot 0$
48209	Solve for n	-5\|-n+7\|>=-45	$- 5 \| - n + 7 \| \geq - 45$
48210	Solve for d	s=3/2 fourth root of d	$s = \frac{3}{2} \sqrt[4]{d}$
48211	Find the Exact Value	5-((2+3)-4)	$5 - ((2 + 3) - 4)$
48212	Solve for d	d(f)=2f+115	$d (f) = 2 f + 115$
48213	Simplify	(10 square root of 2x^20+7 square root of 8x^20)/( square root of 18x^20)	$\frac{10 \sqrt{2 x^{20}} + 7 \sqrt{8 x^{20}}}{\sqrt{18 x^{20}}}$
48214	Solve for x	4/(x-4)=2+x/(x-4)	$\frac{4}{x - 4} = 2 + \frac{x}{x - 4}$
48215	Simplify the Radical Expression	6x square root of 112-6 square root of 7x^2	$6 x \sqrt{112} - 6 \sqrt{7 x^{2}}$
48216	Evaluate	(7pi)/6(180/pi)	$\frac{7 π}{6} (\frac{180}{π})$
48217	Find the Sine of the Angle	(4pi)/3	$\frac{4 π}{3}$
48218	Find the Exact Value	(2pi)/(3/2)	$\frac{2 π}{\frac{3}{2}}$
48219	Find the Roots (Zeros)	(-5x-1)(2x+8)	$(- 5 x - 1) (2 x + 8)$
48220	Simplify	(x+1)/((x+1)^2)	$\frac{x + 1}{{(x + 1)}^{2}}$
48221	Evaluate	square root of x^2=3	$\sqrt{x^{2}} = 3$
48222	Solve by Substitution	2x^2+4x-y=-3 -2x+y=-4	$2 x^{2} + 4 x - y = - 3$ $- 2 x + y = - 4$
48223	Evaluate Using the Given Value	(p+q)^2-(5-5) ; use p=1 ; and q=1	${(p + q)}^{2} - (5 - 5)$ ; use $p = 1$ ; and $q = 1$
48224	Solve for j	cube root of j=6	$\sqrt[3]{j} = 6$
48225	Evaluate	(-1/2)/(-1/2+1)-1	$\frac{- \frac{1}{2}}{- \frac{1}{2} + 1} - 1$
48226	Evaluate	5% of 400	$5 %$ of $400$
48227	Simplify	(3x-2)(3x+1)(3x+2)(x-1)	$(3 x - 2) (3 x + 1) (3 x + 2) (x - 1)$
48228	Find dx/dy	tan(xy)=x	$\tan (x y) = x$
48229	Find the Derivative of the Integral	integral from -19 to x^2 of (t-169)^92(5t-245)^37 with respect to t	$\int_{- 19}^{x^{2}} {(t - 169)}^{92} {(5 t - 245)}^{37} d t$
48230	Solve for y	2x+3y=12 for y	$2 x + 3 y = 12$ for $y$
48231	Find the Exact Value	sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2)	$\sin (\frac{π}{6}) \cos (\frac{π}{2}) + \cos (\frac{π}{6}) \sin (\frac{π}{2})$
48232	Graph	x-2y=4 x-2y=6	$x - 2 y = 4$ $x - 2 y = 6$
48233	Evaluate Using Scientific Notation	0.5(8x*10^5)	$0.5 (8 x \cdot 10^{5})$
48234	Solve the Rational Equation for x	square root of 2x+7=x+3	$\sqrt{2 x} + 7 = x + 3$
48235	Evaluate	(24÷8+(12-3)÷6)^2	${(24 \div 8 + (12 - 3) \div 6)}^{2}$
48236	Solve for y	(-( square root of 8)/3)^2+y^2=1^2	${(- \frac{\sqrt{8}}{3})}^{2} + y^{2} = 1^{2}$
48237	Solve the System of Equations	2(x-1/3)-3/2(y-1/6)=0 3(y-1/2)+8/3(x-1/6)=0	$2 (x - \frac{1}{3}) - \frac{3}{2} (y - \frac{1}{6}) = 0$ $3 (y - \frac{1}{2}) + \frac{8}{3} (x - \frac{1}{6}) = 0$
48238	Find the Domain and Range	y=1+arccos(x)	$y = 1 + \arccos (x)$
48239	Simplify	( square root of 3+ square root of 5)( square root of 3-3 square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3} - 3 \sqrt{5})$
48240	Write as a Single Logarithm	log of 9^5	$\log (9^{5})$
48241	Solve for w	19w^2-30w+8=-6w^2	$19 w^{2} - 30 w + 8 = - 6 w^{2}$
48242	Simplify	4/(9k^5)*(3k^3)/8	$\frac{4}{9 k^{5}} \cdot \frac{3 k^{3}}{8}$
48243	Rationalize the Denominator	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
48244	Find dy/dx	y = square root of x^2+2x-1	$y = \sqrt{x^{2} + 2 x - 1}$
48245	Evaluate	1 3/4-2+(-4 3/4)	$1 \frac{3}{4} - 2 + (- 4 \frac{3}{4})$
48246	Write in Standard Form	3x+9=7/2y	$3 x + 9 = \frac{7}{2} y$
48247	Graph	g(x)=1/4(-x)^(1/2)	$g (x) = \frac{1}{4} {(- x)}^{\frac{1}{2}}$
48248	Integrate Using u-Substitution	integral of square root of 1+x^2 with respect to x	$\int \sqrt{1 + x^{2}} d x$
48249	Find the Domain and Range	y=x(5-x)	$y = x (5 - x)$
48250	Simplify	Simplify (-4r^5)(2r^8)	Simplify $(- 4 r^{5}) (2 r^{8})$
48251	Subtract	1/3-5/3	$\frac{1}{3} - \frac{5}{3}$
48252	Solve for b	6^2+b^2=(3 square root of 5)^2	$6^{2} + b^{2} = {(3 \sqrt{5})}^{2}$
48253	Solve the Function Operation	f(x)=((x^(1/7))/5)^5 ; find f^-1(x)	$f (x) = {(\frac{x^{\frac{1}{7}}}{5})}^{5}$ ; find $f^{- 1} (x)$
48254	Evaluate	3^(2+4^2)	$3^{2 + 4^{2}}$
48255	Simplify	(9x+18)/(x^2-2x-8)*(3x-12)/(6x)	$\frac{9 x + 18}{x^{2} - 2 x - 8} \cdot \frac{3 x - 12}{6 x}$
48256	Evaluate	4 2/5÷(7/10+2 3/5)	$4 \frac{2}{5} \div (\frac{7}{10} + 2 \frac{3}{5})$
48257	Find the Vertex	f(x)=-3/4+2/5(x-6)^2	$f (x) = - \frac{3}{4} + \frac{2}{5} {(x - 6)}^{2}$
48258	Combine Like Terms	3x+4x+5y+6y+7+8	$3 x + 4 x + 5 y + 6 y + 7 + 8$
48259	Solve for r	a=(pir^2)/h	$a = \frac{π r^{2}}{h}$
48260	Find the Distance Between Two Points	(-5,8) and (-3,1)	$(- 5, 8)$ and $(- 3, 1)$
48261	Solve for x	1- square root of 4x+3=-5	$1 - \sqrt{4 x + 3} = - 5$
48262	Multiply	(x^2-36)/(x^2-5x-6)*(3x+3)/(9x^2)	$\frac{x^{2} - 36}{x^{2} - 5 x - 6} \cdot \frac{3 x + 3}{9 x^{2}}$
48263	Find the GCF	21cd-3d	$21 c d - 3 d$
48264	Add	(6x^2-5x)-(10x^2+8x-8)	$(6 x^{2} - 5 x) - (10 x^{2} + 8 x - 8)$
48265	Simplify	1+cot(-theta)^2	$1 + \cot^{2} (- θ)$
48266	Simplify the Radical Expression	square root of 32h+4 square root of 98h-3 square root of 50h	$\sqrt{32 h} + 4 \sqrt{98 h} - 3 \sqrt{50 h}$
48267	Evaluate the Integral	integral of -1/(x^2) with respect to x	$\int \frac{- 1}{x^{2}} d x$
48268	Evaluate	natural log of e/( square root of e^5)	$\ln (\frac{e}{\sqrt{e^{5}}})$
48269	Solve for x	-19x^3-12x^2+16x=0	$- 19 x^{3} - 12 x^{2} + 16 x = 0$
48270	Simplify	(a^3)/( square root of 15a^5)	$\frac{a^{3}}{\sqrt{15 a^{5}}}$
48271	Solve the Function Operation	sin(theta)=-15/17 , theta in Quadrant IV	$\sin (θ) = - \frac{15}{17}$ , $θ$ in Quadrant $I V$
48272	Find the Derivative - d/dx	y=((x^2+1)^2)/(2x^2)	$y = \frac{{(x^{2} + 1)}^{2}}{2 x^{2}}$
48273	Find the Degree	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
48274	Find the Second Derivative	y=-1/5x^-4+1/2x^3-3x^-1	$y = - \frac{1}{5} x^{- 4} + \frac{1}{2} x^{3} - 3 x^{- 1}$
48275	Simplify the Radical Expression	i^4	$i^{4}$
48276	Find Where Increasing/Decreasing	f(x)=-((x-2)^2)/((x-1)^2)	$f (x) = - \frac{{(x - 2)}^{2}}{{(x - 1)}^{2}}$
48277	Find the Vertex	y+6=(2x-5)^2	$y + 6 = {(2 x - 5)}^{2}$
48278	Simplify	4x^4y^4*x^4	$4 x^{4} y^{4} \cdot x^{4}$
48279	Solve for x	(7x)/6-3=(5x)/4	$\frac{7 x}{6} - 3 = \frac{5 x}{4}$
48280	Find the Derivative - d/dx	2e^(2x)-e^(-x)	$2 e^{2 x} - e^{- x}$
48281	Simplify the Radical Expression	(18w^(1/3)v^(5/4))/(27w^(4/3)v^(1/2))	$\frac{18 w^{\frac{1}{3}} v^{\frac{5}{4}}}{27 w^{\frac{4}{3}} v^{\frac{1}{2}}}$
48282	Graph	y>=x^2-4 y<=-2x^2+7x+4	$y \geq x^{2} - 4$ $y \leq - 2 x^{2} + 7 x + 4$
48283	Factor	9x^8-72x^4+144	$9 x^{8} - 72 x^{4} + 144$
48284	Convert to a Decimal	sin(72)deg	$\sin (72)$ degrees
48285	Find the x and y Intercepts	y = log base 2 of 2x+3	$y = \log_{2} (2 x + 3)$
48286	Evaluate the Integral	integral of (3(1-tan(x)^2))/(sec(x)^2) with respect to x	$\int \frac{3 (1 - \tan^{2} (x))}{\sec^{2} (x)} d x$
48287	Convert to a Decimal	350deg	$350$ degrees
48288	Find dy/dx	x^2=4y^3+5y^2	$x^{2} = 4 y^{3} + 5 y^{2}$
48289	Solve for y	7y-4+3y+6=9y+8	$7 y - 4 + 3 y + 6 = 9 y + 8$
48290	Solve for x	\|x-2\|+5<4	$\| x - 2 \| + 5 < 4$
48291	Divide	((5x^2-3x-14)/(3x^2+5x-2))÷((4x-8)/(3x-1))	$\frac{5 x^{2} - 3 x - 14}{3 x^{2} + 5 x - 2} \div \frac{4 x - 8}{3 x - 1}$
48292	Write in Slope-Intercept Form	4x+y>3	$4 x + y > 3$
48293	Find Amplitude, Period, and Phase Shift	y=-3/2cos((3x)/4)	$y = - \frac{3}{2} \cos (\frac{3 x}{4})$
48294	Convert from Radians to Degrees	-4pirad	$- 4 π$ radians
48295	Evaluate	1/e-e	$\frac{1}{e} - e$
48296	Convert to a Percentage	27 is what percent of 60	$27$ is what percent of $60$
48297	Solve the System of Equations	x-4y=-8 -x+4y-8=0	$x - 4 y = - 8$ $- x + 4 y - 8 = 0$
48298	Solve the System of Equations	(x-5)^2+(y-3)^2=90 x+y=2	${(x - 5)}^{2} + {(y - 3)}^{2} = 90$ $x + y = 2$
48299	Find the Parabola with Focus (-3,-5) and Directrix x=-7	(-3,-5) x=-7	$(- 3, - 5)$ $x = - 7$
48300	Find the Antiderivative	fifth root of x-2e^x	$\sqrt[5]{x} - 2 e^{x}$